18.108 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.053 * * * [progress]: [2/2] Setting up program. 0.055 * [progress]: [Phase 2 of 3] Improving. 0.055 * [simplify]: Simplifying: (- (log (+ N 1.0)) (log N)) 0.055 * [simplify]: Sending expressions to egg_math: (- (log (+ h0 1.0)) (log h0)) 0.071 * * [progress]: iteration 1 / 4 0.071 * * * [progress]: picking best candidate 0.072 * * * * [pick]: Picked # 0.073 * * * [progress]: localizing error 0.081 * * * [progress]: generating rewritten candidates 0.081 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.086 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.135 * * * [progress]: generating series expansions 0.135 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.135 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 0.135 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.135 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.136 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.136 * [taylor]: Taking taylor expansion of N in N 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify 1 into 1 0.136 * [taylor]: Taking taylor expansion of 1.0 in N 0.136 * [backup-simplify]: Simplify 1.0 into 1.0 0.136 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.137 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.137 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.137 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.137 * [taylor]: Taking taylor expansion of N in N 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify 1 into 1 0.137 * [taylor]: Taking taylor expansion of 1.0 in N 0.137 * [backup-simplify]: Simplify 1.0 into 1.0 0.138 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.138 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.139 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.140 * [backup-simplify]: Simplify (+ 1 0) into 1 0.143 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.143 * [backup-simplify]: Simplify 1.0 into 1.0 0.143 * [backup-simplify]: Simplify (+ 0 0) into 0 0.149 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 0.150 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.151 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (log 1.0))) into (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) 0.151 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 0.151 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.151 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.151 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.151 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.151 * [taylor]: Taking taylor expansion of N in N 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 1 into 1 0.151 * [backup-simplify]: Simplify (/ 1 1) into 1 0.151 * [taylor]: Taking taylor expansion of 1.0 in N 0.151 * [backup-simplify]: Simplify 1.0 into 1.0 0.152 * [backup-simplify]: Simplify (+ 1 0) into 1 0.152 * [backup-simplify]: Simplify (log 1) into 0 0.152 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.152 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.152 * [taylor]: Taking taylor expansion of (/ 1 N) 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.152 * [taylor]: Taking taylor expansion of 1.0 in N 0.152 * [backup-simplify]: Simplify 1.0 into 1.0 0.153 * [backup-simplify]: Simplify (+ 1 0) into 1 0.153 * [backup-simplify]: Simplify (log 1) into 0 0.153 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.153 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.154 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.158 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.158 * [backup-simplify]: Simplify 1.0 into 1.0 0.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.158 * [backup-simplify]: Simplify (+ 0 0) into 0 0.165 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 0.165 * [backup-simplify]: Simplify -0.5 into -0.5 0.165 * [backup-simplify]: Simplify (+ (* -0.5 (pow (/ 1 N) 2)) (+ (* 1.0 (/ 1 N)) (- (log (/ 1 N))))) into (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) 0.166 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 0.166 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.166 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.166 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.166 * [taylor]: Taking taylor expansion of 1.0 in N 0.166 * [backup-simplify]: Simplify 1.0 into 1.0 0.166 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.166 * [taylor]: Taking taylor expansion of N in N 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 1 into 1 0.166 * [backup-simplify]: Simplify (/ 1 1) into 1 0.166 * [backup-simplify]: Simplify (- 1) into -1 0.167 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.167 * [backup-simplify]: Simplify (log -1) into (log -1) 0.167 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.167 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.167 * [taylor]: Taking taylor expansion of 1.0 in N 0.167 * [backup-simplify]: Simplify 1.0 into 1.0 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 0.168 * [backup-simplify]: Simplify (- 1) into -1 0.168 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.168 * [backup-simplify]: Simplify (log -1) into (log -1) 0.169 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.169 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.170 * [backup-simplify]: Simplify (- 0) into 0 0.170 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.174 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.174 * [backup-simplify]: Simplify -1.0 into -1.0 0.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.175 * [backup-simplify]: Simplify (- 0) into 0 0.175 * [backup-simplify]: Simplify (+ 0 0) into 0 0.182 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 0.182 * [backup-simplify]: Simplify -0.5 into -0.5 0.183 * [backup-simplify]: Simplify (+ (* -0.5 (pow (/ 1 (- N)) 2)) (+ (* -1.0 (/ 1 (- N))) (- (log -1) (log (/ 1 (- N)))))) into (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) 0.183 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.183 * [backup-simplify]: Simplify (- (log (+ N 1.0)) (log N)) into (- (log (+ N 1.0)) (log N)) 0.183 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.183 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.183 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.183 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.183 * [taylor]: Taking taylor expansion of N in N 0.183 * [backup-simplify]: Simplify 0 into 0 0.183 * [backup-simplify]: Simplify 1 into 1 0.183 * [taylor]: Taking taylor expansion of 1.0 in N 0.183 * [backup-simplify]: Simplify 1.0 into 1.0 0.183 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.184 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.184 * [taylor]: Taking taylor expansion of (log N) in N 0.184 * [taylor]: Taking taylor expansion of N in N 0.184 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify 1 into 1 0.184 * [backup-simplify]: Simplify (log 1) into 0 0.184 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.184 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.184 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.184 * [taylor]: Taking taylor expansion of N in N 0.184 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify 1 into 1 0.184 * [taylor]: Taking taylor expansion of 1.0 in N 0.184 * [backup-simplify]: Simplify 1.0 into 1.0 0.185 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.185 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.185 * [taylor]: Taking taylor expansion of (log N) in N 0.185 * [taylor]: Taking taylor expansion of N in N 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify 1 into 1 0.185 * [backup-simplify]: Simplify (log 1) into 0 0.186 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.186 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.186 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N)) 0.186 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.187 * [backup-simplify]: Simplify (+ 1 0) into 1 0.190 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.192 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.192 * [backup-simplify]: Simplify (- 0) into 0 0.192 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.192 * [backup-simplify]: Simplify 1.0 into 1.0 0.193 * [backup-simplify]: Simplify (+ 0 0) into 0 0.199 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 0.201 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.201 * [backup-simplify]: Simplify (- 0) into 0 0.202 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.204 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.213 * [backup-simplify]: Simplify (+ (* (- (* 1/2 (/ 1 (pow 1.0 2)))) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 0.213 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) 0.213 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.213 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.213 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.213 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.213 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.213 * [taylor]: Taking taylor expansion of N in N 0.213 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify 1 into 1 0.214 * [backup-simplify]: Simplify (/ 1 1) into 1 0.214 * [taylor]: Taking taylor expansion of 1.0 in N 0.214 * [backup-simplify]: Simplify 1.0 into 1.0 0.214 * [backup-simplify]: Simplify (+ 1 0) into 1 0.214 * [backup-simplify]: Simplify (log 1) into 0 0.214 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.214 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.214 * [taylor]: Taking taylor expansion of N in N 0.214 * [backup-simplify]: Simplify 0 into 0 0.214 * [backup-simplify]: Simplify 1 into 1 0.215 * [backup-simplify]: Simplify (/ 1 1) into 1 0.215 * [backup-simplify]: Simplify (log 1) into 0 0.215 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.215 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.215 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.215 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.215 * [taylor]: Taking taylor expansion of N in N 0.215 * [backup-simplify]: Simplify 0 into 0 0.215 * [backup-simplify]: Simplify 1 into 1 0.215 * [backup-simplify]: Simplify (/ 1 1) into 1 0.215 * [taylor]: Taking taylor expansion of 1.0 in N 0.215 * [backup-simplify]: Simplify 1.0 into 1.0 0.216 * [backup-simplify]: Simplify (+ 1 0) into 1 0.216 * [backup-simplify]: Simplify (log 1) into 0 0.216 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.216 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.216 * [taylor]: Taking taylor expansion of N in N 0.216 * [backup-simplify]: Simplify 0 into 0 0.216 * [backup-simplify]: Simplify 1 into 1 0.216 * [backup-simplify]: Simplify (/ 1 1) into 1 0.216 * [backup-simplify]: Simplify (log 1) into 0 0.217 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.217 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.217 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.217 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.217 * [backup-simplify]: Simplify 0 into 0 0.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.218 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.221 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.223 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.223 * [backup-simplify]: Simplify (- 0) into 0 0.223 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.223 * [backup-simplify]: Simplify 1.0 into 1.0 0.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.224 * [backup-simplify]: Simplify (+ 0 0) into 0 0.230 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 0.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.232 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.233 * [backup-simplify]: Simplify (- 0) into 0 0.233 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.233 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.234 * [backup-simplify]: Simplify (+ 0 0) into 0 0.244 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0.3333333333333333 0.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.248 * [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 0.248 * [backup-simplify]: Simplify (- 0) into 0 0.248 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.248 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.249 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 1.0 (/ 1 N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 0.249 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1.0)) (log (/ 1 (- N)))) into (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) 0.249 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.249 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.249 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.249 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.249 * [taylor]: Taking taylor expansion of 1.0 in N 0.249 * [backup-simplify]: Simplify 1.0 into 1.0 0.249 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.249 * [taylor]: Taking taylor expansion of N in N 0.249 * [backup-simplify]: Simplify 0 into 0 0.249 * [backup-simplify]: Simplify 1 into 1 0.250 * [backup-simplify]: Simplify (/ 1 1) into 1 0.250 * [backup-simplify]: Simplify (- 1) into -1 0.250 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.250 * [backup-simplify]: Simplify (log -1) into (log -1) 0.250 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.250 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.251 * [taylor]: Taking taylor expansion of -1 in N 0.251 * [backup-simplify]: Simplify -1 into -1 0.251 * [taylor]: Taking taylor expansion of N in N 0.251 * [backup-simplify]: Simplify 0 into 0 0.251 * [backup-simplify]: Simplify 1 into 1 0.251 * [backup-simplify]: Simplify (/ -1 1) into -1 0.251 * [backup-simplify]: Simplify (log -1) into (log -1) 0.251 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.251 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.251 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.251 * [taylor]: Taking taylor expansion of 1.0 in N 0.251 * [backup-simplify]: Simplify 1.0 into 1.0 0.251 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.251 * [taylor]: Taking taylor expansion of N in N 0.251 * [backup-simplify]: Simplify 0 into 0 0.251 * [backup-simplify]: Simplify 1 into 1 0.252 * [backup-simplify]: Simplify (/ 1 1) into 1 0.252 * [backup-simplify]: Simplify (- 1) into -1 0.252 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.252 * [backup-simplify]: Simplify (log -1) into (log -1) 0.252 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.252 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.252 * [taylor]: Taking taylor expansion of -1 in N 0.253 * [backup-simplify]: Simplify -1 into -1 0.253 * [taylor]: Taking taylor expansion of N in N 0.253 * [backup-simplify]: Simplify 0 into 0 0.253 * [backup-simplify]: Simplify 1 into 1 0.253 * [backup-simplify]: Simplify (/ -1 1) into -1 0.253 * [backup-simplify]: Simplify (log -1) into (log -1) 0.254 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.254 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.255 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.255 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.255 * [backup-simplify]: Simplify 0 into 0 0.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.256 * [backup-simplify]: Simplify (- 0) into 0 0.256 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.261 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.262 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.263 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.264 * [backup-simplify]: Simplify (- 0) into 0 0.264 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 0.264 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.266 * [backup-simplify]: Simplify (- 0) into 0 0.266 * [backup-simplify]: Simplify (+ 0 0) into 0 0.275 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 0.275 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.277 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.277 * [backup-simplify]: Simplify (- 0) into 0 0.278 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.278 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.279 * [backup-simplify]: Simplify (- 0) into 0 0.279 * [backup-simplify]: Simplify (+ 0 0) into 0 0.291 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -0.3333333333333333 0.292 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.297 * [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 0.297 * [backup-simplify]: Simplify (- 0) into 0 0.298 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333) 0.298 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.299 * [backup-simplify]: Simplify (+ (* (- 0.3333333333333333) (pow (/ 1 (- N)) 3)) (+ (* (- 0.5) (pow (/ 1 (- N)) 2)) (* (- 1.0) (/ 1 (- N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 0.300 * * * [progress]: simplifying candidates 0.301 * [simplify]: Simplifying: (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log 1) (log (+ N 1.0)) (log 1) (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (exp (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (exp (- (log (+ N 1.0)) (log N))) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (* (* (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N))) (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (* (log (+ N 1.0)) (log (+ N 1.0))) (+ (* (log N) (log N)) (* (log (+ N 1.0)) (log N)))) (- (log N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log (* (cbrt N) (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (- (log (+ N 1.0)) (log 1)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log N)) (+ (log (- N 1.0)) (log N)) (- (log N)) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 0.301 * [simplify]: Sending expressions to egg_math: (log (* (cbrt (+ h0 1.0)) (cbrt (+ h0 1.0)))) (log (cbrt (+ h0 1.0))) (log (sqrt (+ h0 1.0))) (log (sqrt (+ h0 1.0))) (log 1) (log (+ h0 1.0)) (log 1) (log (+ h0 1.0)) (log (+ (pow h0 3) (pow 1.0 3))) (log (+ (* h0 h0) (- (* 1.0 1.0) (* h0 1.0)))) (log (- (* h0 h0) (* 1.0 1.0))) (log (- h0 1.0)) (log (+ h0 1.0)) (log (log (+ h0 1.0))) (exp (log (+ h0 1.0))) (* (cbrt (log (+ h0 1.0))) (cbrt (log (+ h0 1.0)))) (cbrt (log (+ h0 1.0))) (* (* (log (+ h0 1.0)) (log (+ h0 1.0))) (log (+ h0 1.0))) (sqrt (log (+ h0 1.0))) (sqrt (log (+ h0 1.0))) (/ (+ h0 1.0) h0) (log (- (log (+ h0 1.0)) (log h0))) (exp (- (log (+ h0 1.0)) (log h0))) (* (cbrt (- (log (+ h0 1.0)) (log h0))) (cbrt (- (log (+ h0 1.0)) (log h0)))) (cbrt (- (log (+ h0 1.0)) (log h0))) (* (* (- (log (+ h0 1.0)) (log h0)) (- (log (+ h0 1.0)) (log h0))) (- (log (+ h0 1.0)) (log h0))) (sqrt (- (log (+ h0 1.0)) (log h0))) (sqrt (- (log (+ h0 1.0)) (log h0))) (- (pow (log (+ h0 1.0)) 3) (pow (log h0) 3)) (+ (* (log (+ h0 1.0)) (log (+ h0 1.0))) (+ (* (log h0) (log h0)) (* (log (+ h0 1.0)) (log h0)))) (- (log h0)) (- (* (log (+ h0 1.0)) (log (+ h0 1.0))) (* (log h0) (log h0))) (+ (log (+ h0 1.0)) (log h0)) (+ (sqrt (log (+ h0 1.0))) (sqrt (log h0))) (- (sqrt (log (+ h0 1.0))) (sqrt (log h0))) (- (log (+ h0 1.0)) (log h0)) (- (log (+ h0 1.0)) (log h0)) (- (log (+ h0 1.0)) (log h0)) (- (log (+ h0 1.0)) (log h0)) (- (log (+ h0 1.0)) (log (* (cbrt h0) (cbrt h0)))) (- (log (+ h0 1.0)) (log (sqrt h0))) (- (log (+ h0 1.0)) (log 1)) (- (log (cbrt (+ h0 1.0))) (log h0)) (- (log (sqrt (+ h0 1.0))) (log h0)) (- (log (+ h0 1.0)) (log h0)) (- (log (+ h0 1.0)) (log h0)) (+ (log (+ (* h0 h0) (- (* 1.0 1.0) (* h0 1.0)))) (log h0)) (+ (log (- h0 1.0)) (log h0)) (- (log h0)) (- (+ (* 1.0 h0) (log 1.0)) (* (/ 1 2) (/ (pow h0 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 h0)) (+ (* (/ 1.0 2.0) (/ 1 (pow h0 2))) (log (/ 1 h0)))) (- (+ (* 1.0 (/ 1 h0)) (log -1)) (+ (* (/ 1.0 2.0) (/ 1 (pow h0 2))) (log (/ -1 h0)))) (- (+ (* 1.0 h0) (log 1.0)) (+ (* (/ 1 2) (/ (pow h0 2) (pow 1.0 2))) (log h0))) (- (+ (* (/ 6004799503160661.0 18014398509481984.0) (/ 1 (pow h0 3))) (* 1.0 (/ 1 h0))) (* (/ 1.0 2.0) (/ 1 (pow h0 2)))) (- (+ (* (/ 6004799503160661.0 18014398509481984.0) (/ 1 (pow h0 3))) (* 1.0 (/ 1 h0))) (* (/ 1.0 2.0) (/ 1 (pow h0 2)))) 1.258 * * * [progress]: adding candidates to table 1.417 * * [progress]: iteration 2 / 4 1.418 * * * [progress]: picking best candidate 1.421 * * * * [pick]: Picked # 1.421 * * * [progress]: localizing error 1.454 * * * [progress]: generating rewritten candidates 1.454 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1) 1.484 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 1.765 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 1.870 * * * [progress]: generating series expansions 1.870 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1) 1.871 * [backup-simplify]: Simplify (/ 1 (pow N 2)) into (/ 1 (pow N 2)) 1.871 * [approximate]: Taking taylor expansion of (/ 1 (pow N 2)) in (N) around 0 1.871 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.871 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.871 * [taylor]: Taking taylor expansion of N in N 1.871 * [backup-simplify]: Simplify 0 into 0 1.871 * [backup-simplify]: Simplify 1 into 1 1.871 * [backup-simplify]: Simplify (* 1 1) into 1 1.872 * [backup-simplify]: Simplify (/ 1 1) into 1 1.872 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.872 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.872 * [taylor]: Taking taylor expansion of N in N 1.872 * [backup-simplify]: Simplify 0 into 0 1.872 * [backup-simplify]: Simplify 1 into 1 1.872 * [backup-simplify]: Simplify (* 1 1) into 1 1.872 * [backup-simplify]: Simplify (/ 1 1) into 1 1.872 * [backup-simplify]: Simplify 1 into 1 1.873 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.873 * [backup-simplify]: Simplify 0 into 0 1.874 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.874 * [backup-simplify]: Simplify 0 into 0 1.875 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.876 * [backup-simplify]: Simplify 0 into 0 1.877 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.877 * [backup-simplify]: Simplify 0 into 0 1.878 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.879 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.879 * [backup-simplify]: Simplify 0 into 0 1.880 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.880 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.880 * [backup-simplify]: Simplify 0 into 0 1.881 * [backup-simplify]: Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (pow N 2)) 1.881 * [backup-simplify]: Simplify (/ 1 (pow (/ 1 N) 2)) into (pow N 2) 1.881 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 1.881 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.881 * [taylor]: Taking taylor expansion of N in N 1.881 * [backup-simplify]: Simplify 0 into 0 1.881 * [backup-simplify]: Simplify 1 into 1 1.881 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.881 * [taylor]: Taking taylor expansion of N in N 1.881 * [backup-simplify]: Simplify 0 into 0 1.881 * [backup-simplify]: Simplify 1 into 1 1.881 * [backup-simplify]: Simplify (* 1 1) into 1 1.881 * [backup-simplify]: Simplify 1 into 1 1.882 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.882 * [backup-simplify]: Simplify 0 into 0 1.882 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.882 * [backup-simplify]: Simplify 0 into 0 1.883 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.883 * [backup-simplify]: Simplify 0 into 0 1.883 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.884 * [backup-simplify]: Simplify 0 into 0 1.884 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.884 * [backup-simplify]: Simplify 0 into 0 1.885 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.885 * [backup-simplify]: Simplify 0 into 0 1.885 * [backup-simplify]: Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (pow N 2)) 1.885 * [backup-simplify]: Simplify (/ 1 (pow (/ 1 (- N)) 2)) into (pow N 2) 1.885 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 1.886 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.886 * [taylor]: Taking taylor expansion of N in N 1.886 * [backup-simplify]: Simplify 0 into 0 1.886 * [backup-simplify]: Simplify 1 into 1 1.886 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.886 * [taylor]: Taking taylor expansion of N in N 1.886 * [backup-simplify]: Simplify 0 into 0 1.886 * [backup-simplify]: Simplify 1 into 1 1.886 * [backup-simplify]: Simplify (* 1 1) into 1 1.886 * [backup-simplify]: Simplify 1 into 1 1.886 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.886 * [backup-simplify]: Simplify 0 into 0 1.887 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.887 * [backup-simplify]: Simplify 0 into 0 1.891 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.892 * [backup-simplify]: Simplify 0 into 0 1.892 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.892 * [backup-simplify]: Simplify 0 into 0 1.893 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.893 * [backup-simplify]: Simplify 0 into 0 1.894 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.894 * [backup-simplify]: Simplify 0 into 0 1.894 * [backup-simplify]: Simplify (* 1 (pow (/ 1 (- N)) 2)) into (/ 1 (pow N 2)) 1.894 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 1.895 * [backup-simplify]: Simplify (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) into (/ (- (* 0.3333333333333333 (/ 1 N)) 0.5) (pow N 2)) 1.895 * [approximate]: Taking taylor expansion of (/ (- (* 0.3333333333333333 (/ 1 N)) 0.5) (pow N 2)) in (N) around 0 1.895 * [taylor]: Taking taylor expansion of (/ (- (* 0.3333333333333333 (/ 1 N)) 0.5) (pow N 2)) in N 1.895 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 N)) 0.5) in N 1.895 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 N)) in N 1.895 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 1.895 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 1.895 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.895 * [taylor]: Taking taylor expansion of N in N 1.895 * [backup-simplify]: Simplify 0 into 0 1.895 * [backup-simplify]: Simplify 1 into 1 1.895 * [backup-simplify]: Simplify (/ 1 1) into 1 1.895 * [taylor]: Taking taylor expansion of 0.5 in N 1.895 * [backup-simplify]: Simplify 0.5 into 0.5 1.895 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.895 * [taylor]: Taking taylor expansion of N in N 1.896 * [backup-simplify]: Simplify 0 into 0 1.896 * [backup-simplify]: Simplify 1 into 1 1.896 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 1.896 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 1.897 * [backup-simplify]: Simplify (* 1 1) into 1 1.897 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 1.897 * [taylor]: Taking taylor expansion of (/ (- (* 0.3333333333333333 (/ 1 N)) 0.5) (pow N 2)) in N 1.897 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 N)) 0.5) in N 1.897 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 N)) in N 1.897 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 1.897 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 1.897 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.898 * [taylor]: Taking taylor expansion of N in N 1.898 * [backup-simplify]: Simplify 0 into 0 1.898 * [backup-simplify]: Simplify 1 into 1 1.898 * [backup-simplify]: Simplify (/ 1 1) into 1 1.898 * [taylor]: Taking taylor expansion of 0.5 in N 1.898 * [backup-simplify]: Simplify 0.5 into 0.5 1.898 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.898 * [taylor]: Taking taylor expansion of N in N 1.898 * [backup-simplify]: Simplify 0 into 0 1.898 * [backup-simplify]: Simplify 1 into 1 1.899 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 1.899 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 1.899 * [backup-simplify]: Simplify (* 1 1) into 1 1.900 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 1.900 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 1.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.901 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 1.902 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 1.903 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 1.904 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.907 * [backup-simplify]: Simplify (- (/ (- 0.5) 1) (+ (* 0.3333333333333333 (/ 0 1)))) into (- 0.5) 1.907 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 1.908 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.910 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 1.910 * [backup-simplify]: Simplify (- 0) into 0 1.910 * [backup-simplify]: Simplify (+ 0 0) into 0 1.911 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.912 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* (- 0.5) (/ 0 1)))) into 0 1.912 * [backup-simplify]: Simplify 0 into 0 1.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.914 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.915 * [backup-simplify]: Simplify (- 0) into 0 1.915 * [backup-simplify]: Simplify (+ 0 0) into 0 1.916 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.918 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* (- 0.5) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.918 * [backup-simplify]: Simplify 0 into 0 1.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.920 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.921 * [backup-simplify]: Simplify (- 0) into 0 1.921 * [backup-simplify]: Simplify (+ 0 0) into 0 1.922 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.923 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* (- 0.5) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.924 * [backup-simplify]: Simplify 0 into 0 1.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.926 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.926 * [backup-simplify]: Simplify (- 0) into 0 1.927 * [backup-simplify]: Simplify (+ 0 0) into 0 1.928 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.929 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* (- 0.5) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.929 * [backup-simplify]: Simplify 0 into 0 1.930 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.932 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.932 * [backup-simplify]: Simplify (- 0) into 0 1.933 * [backup-simplify]: Simplify (+ 0 0) into 0 1.934 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.936 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* (- 0.5) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.936 * [backup-simplify]: Simplify 0 into 0 1.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.937 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 1.937 * [backup-simplify]: Simplify (- 0) into 0 1.938 * [backup-simplify]: Simplify (+ 0 0) into 0 1.938 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 1.939 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* (- 0.5) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.939 * [backup-simplify]: Simplify 0 into 0 1.940 * [backup-simplify]: Simplify (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 0.3333333333333333 (pow (/ 1 N) 3))) into (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) 1.941 * [backup-simplify]: Simplify (* (/ 1 (pow (/ 1 N) 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) (/ 1 N)) (/ 1.0 2.0))) into (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) 1.941 * [approximate]: Taking taylor expansion of (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) in (N) around 0 1.941 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) in N 1.941 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.941 * [taylor]: Taking taylor expansion of N in N 1.941 * [backup-simplify]: Simplify 0 into 0 1.941 * [backup-simplify]: Simplify 1 into 1 1.941 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 N) 0.5) in N 1.941 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 1.941 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 1.941 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 1.941 * [taylor]: Taking taylor expansion of N in N 1.941 * [backup-simplify]: Simplify 0 into 0 1.941 * [backup-simplify]: Simplify 1 into 1 1.941 * [taylor]: Taking taylor expansion of 0.5 in N 1.941 * [backup-simplify]: Simplify 0.5 into 0.5 1.941 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) in N 1.941 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.941 * [taylor]: Taking taylor expansion of N in N 1.941 * [backup-simplify]: Simplify 0 into 0 1.941 * [backup-simplify]: Simplify 1 into 1 1.941 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 N) 0.5) in N 1.941 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 1.941 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 1.941 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 1.941 * [taylor]: Taking taylor expansion of N in N 1.941 * [backup-simplify]: Simplify 0 into 0 1.941 * [backup-simplify]: Simplify 1 into 1 1.941 * [taylor]: Taking taylor expansion of 0.5 in N 1.941 * [backup-simplify]: Simplify 0.5 into 0.5 1.941 * [backup-simplify]: Simplify (* 1 1) into 1 1.942 * [backup-simplify]: Simplify (* 0.3333333333333333 0) into 0 1.942 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 1.942 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 1.943 * [backup-simplify]: Simplify (* 1 (- 0.5)) into -0.5 1.943 * [backup-simplify]: Simplify -0.5 into -0.5 1.944 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 1) (* 0 0)) into 0.3333333333333333 1.944 * [backup-simplify]: Simplify (- 0) into 0 1.944 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 1.945 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.946 * [backup-simplify]: Simplify (+ (* 1 0.3333333333333333) (* 0 (- 0.5))) into 0.3333333333333333 1.946 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 1.946 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 1) (* 0 0))) into 0 1.947 * [backup-simplify]: Simplify (- 0) into 0 1.947 * [backup-simplify]: Simplify (+ 0 0) into 0 1.947 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.948 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0.3333333333333333) (* 0 (- 0.5)))) into 0 1.948 * [backup-simplify]: Simplify 0 into 0 1.949 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.949 * [backup-simplify]: Simplify (- 0) into 0 1.949 * [backup-simplify]: Simplify (+ 0 0) into 0 1.950 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.950 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 (- 0.5))))) into 0 1.951 * [backup-simplify]: Simplify 0 into 0 1.951 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1.951 * [backup-simplify]: Simplify (- 0) into 0 1.952 * [backup-simplify]: Simplify (+ 0 0) into 0 1.952 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.953 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 (- 0.5)))))) into 0 1.953 * [backup-simplify]: Simplify 0 into 0 1.954 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 1.954 * [backup-simplify]: Simplify (- 0) into 0 1.955 * [backup-simplify]: Simplify (+ 0 0) into 0 1.955 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.956 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 (- 0.5))))))) into 0 1.956 * [backup-simplify]: Simplify 0 into 0 1.957 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 1.957 * [backup-simplify]: Simplify (- 0) into 0 1.958 * [backup-simplify]: Simplify (+ 0 0) into 0 1.959 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.960 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 (- 0.5)))))))) into 0 1.960 * [backup-simplify]: Simplify 0 into 0 1.961 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 1.961 * [backup-simplify]: Simplify (- 0) into 0 1.961 * [backup-simplify]: Simplify (+ 0 0) into 0 1.962 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 1.963 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 (- 0.5))))))))) into 0 1.963 * [backup-simplify]: Simplify 0 into 0 1.964 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (* -0.5 (pow (/ 1 N) 2))) into (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) 1.965 * [backup-simplify]: Simplify (* (/ 1 (pow (/ 1 (- N)) 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) (/ 1 (- N))) (/ 1.0 2.0))) into (* -1 (* (+ (* 0.3333333333333333 N) 0.5) (pow N 2))) 1.965 * [approximate]: Taking taylor expansion of (* -1 (* (+ (* 0.3333333333333333 N) 0.5) (pow N 2))) in (N) around 0 1.965 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 0.3333333333333333 N) 0.5) (pow N 2))) in N 1.965 * [taylor]: Taking taylor expansion of -1 in N 1.965 * [backup-simplify]: Simplify -1 into -1 1.965 * [taylor]: Taking taylor expansion of (* (+ (* 0.3333333333333333 N) 0.5) (pow N 2)) in N 1.965 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 N) 0.5) in N 1.965 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 1.965 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 1.965 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 1.965 * [taylor]: Taking taylor expansion of N in N 1.965 * [backup-simplify]: Simplify 0 into 0 1.965 * [backup-simplify]: Simplify 1 into 1 1.965 * [taylor]: Taking taylor expansion of 0.5 in N 1.965 * [backup-simplify]: Simplify 0.5 into 0.5 1.965 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.965 * [taylor]: Taking taylor expansion of N in N 1.965 * [backup-simplify]: Simplify 0 into 0 1.965 * [backup-simplify]: Simplify 1 into 1 1.965 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 0.3333333333333333 N) 0.5) (pow N 2))) in N 1.965 * [taylor]: Taking taylor expansion of -1 in N 1.965 * [backup-simplify]: Simplify -1 into -1 1.965 * [taylor]: Taking taylor expansion of (* (+ (* 0.3333333333333333 N) 0.5) (pow N 2)) in N 1.965 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 N) 0.5) in N 1.965 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 1.965 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 1.965 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 1.965 * [taylor]: Taking taylor expansion of N in N 1.965 * [backup-simplify]: Simplify 0 into 0 1.965 * [backup-simplify]: Simplify 1 into 1 1.965 * [taylor]: Taking taylor expansion of 0.5 in N 1.965 * [backup-simplify]: Simplify 0.5 into 0.5 1.965 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.965 * [taylor]: Taking taylor expansion of N in N 1.965 * [backup-simplify]: Simplify 0 into 0 1.965 * [backup-simplify]: Simplify 1 into 1 1.966 * [backup-simplify]: Simplify (* 0.3333333333333333 0) into 0 1.966 * [backup-simplify]: Simplify (+ 0 0.5) into 0.5 1.966 * [backup-simplify]: Simplify (* 1 1) into 1 1.966 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 1.967 * [backup-simplify]: Simplify (* -1 0.5) into -0.5 1.967 * [backup-simplify]: Simplify -0.5 into -0.5 1.967 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.968 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 1) (* 0 0)) into 0.3333333333333333 1.968 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 1.969 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0.3333333333333333 1)) into 0.3333333333333333 1.970 * [backup-simplify]: Simplify (+ (* -1 0.3333333333333333) (* 0 0.5)) into (- 0.3333333333333333) 1.971 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 1.971 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.972 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 1) (* 0 0))) into 0 1.972 * [backup-simplify]: Simplify (+ 0 0) into 0 1.973 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0.3333333333333333 0) (* 0 1))) into 0 1.973 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0.3333333333333333) (* 0 0.5))) into 0 1.973 * [backup-simplify]: Simplify 0 into 0 1.974 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.975 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.975 * [backup-simplify]: Simplify (+ 0 0) into 0 1.976 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1)))) into 0 1.977 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 0.5)))) into 0 1.977 * [backup-simplify]: Simplify 0 into 0 1.978 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.979 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1.979 * [backup-simplify]: Simplify (+ 0 0) into 0 1.980 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.981 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 0.5))))) into 0 1.981 * [backup-simplify]: Simplify 0 into 0 1.982 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.982 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 1.983 * [backup-simplify]: Simplify (+ 0 0) into 0 1.984 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.985 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 0.5)))))) into 0 1.985 * [backup-simplify]: Simplify 0 into 0 1.985 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.986 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 1.987 * [backup-simplify]: Simplify (+ 0 0) into 0 1.988 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.990 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 0.5))))))) into 0 1.990 * [backup-simplify]: Simplify 0 into 0 1.992 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 1.994 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 1.995 * [backup-simplify]: Simplify (+ 0 0) into 0 1.996 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 2.003 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 0.5)))))))) into 0 2.003 * [backup-simplify]: Simplify 0 into 0 2.004 * [backup-simplify]: Simplify (+ (* (- 0.3333333333333333) (pow (/ 1 (- N)) 3)) (* -0.5 (pow (/ 1 (- N)) 2))) into (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) 2.004 * * * * [progress]: [ 3 / 3 ] generating series at (2) 2.005 * [backup-simplify]: Simplify (+ (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) (* 1.0 (/ 1 N))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 2.005 * [approximate]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in (N) around 0 2.005 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in N 2.005 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) in N 2.005 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 2.005 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.005 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.005 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 2.005 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.005 * [taylor]: Taking taylor expansion of N in N 2.005 * [backup-simplify]: Simplify 0 into 0 2.005 * [backup-simplify]: Simplify 1 into 1 2.006 * [backup-simplify]: Simplify (* 1 1) into 1 2.006 * [backup-simplify]: Simplify (* 1 1) into 1 2.006 * [backup-simplify]: Simplify (/ 1 1) into 1 2.006 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 2.006 * [taylor]: Taking taylor expansion of 1.0 in N 2.006 * [backup-simplify]: Simplify 1.0 into 1.0 2.006 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.006 * [taylor]: Taking taylor expansion of N in N 2.006 * [backup-simplify]: Simplify 0 into 0 2.006 * [backup-simplify]: Simplify 1 into 1 2.007 * [backup-simplify]: Simplify (/ 1 1) into 1 2.007 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 2.007 * [taylor]: Taking taylor expansion of 0.5 in N 2.007 * [backup-simplify]: Simplify 0.5 into 0.5 2.007 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.007 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.007 * [taylor]: Taking taylor expansion of N in N 2.007 * [backup-simplify]: Simplify 0 into 0 2.007 * [backup-simplify]: Simplify 1 into 1 2.007 * [backup-simplify]: Simplify (* 1 1) into 1 2.007 * [backup-simplify]: Simplify (/ 1 1) into 1 2.007 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in N 2.007 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) in N 2.007 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 2.007 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.007 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.007 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 2.007 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.007 * [taylor]: Taking taylor expansion of N in N 2.007 * [backup-simplify]: Simplify 0 into 0 2.007 * [backup-simplify]: Simplify 1 into 1 2.008 * [backup-simplify]: Simplify (* 1 1) into 1 2.008 * [backup-simplify]: Simplify (* 1 1) into 1 2.008 * [backup-simplify]: Simplify (/ 1 1) into 1 2.008 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 2.008 * [taylor]: Taking taylor expansion of 1.0 in N 2.008 * [backup-simplify]: Simplify 1.0 into 1.0 2.008 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.008 * [taylor]: Taking taylor expansion of N in N 2.008 * [backup-simplify]: Simplify 0 into 0 2.008 * [backup-simplify]: Simplify 1 into 1 2.008 * [backup-simplify]: Simplify (/ 1 1) into 1 2.008 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 2.008 * [taylor]: Taking taylor expansion of 0.5 in N 2.008 * [backup-simplify]: Simplify 0.5 into 0.5 2.008 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.008 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.009 * [taylor]: Taking taylor expansion of N in N 2.009 * [backup-simplify]: Simplify 0 into 0 2.009 * [backup-simplify]: Simplify 1 into 1 2.009 * [backup-simplify]: Simplify (* 1 1) into 1 2.009 * [backup-simplify]: Simplify (/ 1 1) into 1 2.009 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 2.010 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 2.010 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 2.010 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.010 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.011 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.012 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 2.012 * [backup-simplify]: Simplify (+ 0 0) into 0 2.012 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 2.012 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 2.013 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 2.013 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 2.014 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.014 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.015 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 2.016 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 2.016 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.016 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.017 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 2.017 * [backup-simplify]: Simplify (- 0) into 0 2.018 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.018 * [backup-simplify]: Simplify 1.0 into 1.0 2.018 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 0.3333333333333333 (pow (/ 1 N) 3)))) into (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) 2.019 * [backup-simplify]: Simplify (+ (* (/ 1 (pow (/ 1 N) 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) (/ 1 N)) (/ 1.0 2.0))) (* 1.0 (/ 1 (/ 1 N)))) into (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) 2.019 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in (N) around 0 2.019 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 2.019 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 2.019 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 2.019 * [taylor]: Taking taylor expansion of 1.0 in N 2.019 * [backup-simplify]: Simplify 1.0 into 1.0 2.019 * [taylor]: Taking taylor expansion of N in N 2.019 * [backup-simplify]: Simplify 0 into 0 2.019 * [backup-simplify]: Simplify 1 into 1 2.019 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 2.019 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.019 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.019 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.019 * [taylor]: Taking taylor expansion of N in N 2.019 * [backup-simplify]: Simplify 0 into 0 2.019 * [backup-simplify]: Simplify 1 into 1 2.020 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 2.020 * [taylor]: Taking taylor expansion of 0.5 in N 2.020 * [backup-simplify]: Simplify 0.5 into 0.5 2.020 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.020 * [taylor]: Taking taylor expansion of N in N 2.020 * [backup-simplify]: Simplify 0 into 0 2.020 * [backup-simplify]: Simplify 1 into 1 2.020 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 2.020 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 2.020 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 2.020 * [taylor]: Taking taylor expansion of 1.0 in N 2.020 * [backup-simplify]: Simplify 1.0 into 1.0 2.020 * [taylor]: Taking taylor expansion of N in N 2.020 * [backup-simplify]: Simplify 0 into 0 2.020 * [backup-simplify]: Simplify 1 into 1 2.020 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 2.020 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.020 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.020 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.020 * [taylor]: Taking taylor expansion of N in N 2.020 * [backup-simplify]: Simplify 0 into 0 2.020 * [backup-simplify]: Simplify 1 into 1 2.020 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 2.020 * [taylor]: Taking taylor expansion of 0.5 in N 2.020 * [backup-simplify]: Simplify 0.5 into 0.5 2.020 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.020 * [taylor]: Taking taylor expansion of N in N 2.020 * [backup-simplify]: Simplify 0 into 0 2.020 * [backup-simplify]: Simplify 1 into 1 2.020 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.021 * [backup-simplify]: Simplify (+ 0 0) into 0 2.021 * [backup-simplify]: Simplify (+ 0 0) into 0 2.021 * [backup-simplify]: Simplify 0 into 0 2.022 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 2.022 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.022 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.022 * [backup-simplify]: Simplify 1.0 into 1.0 2.023 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 2.023 * [backup-simplify]: Simplify (+ 0 0) into 0 2.023 * [backup-simplify]: Simplify (* 1 1) into 1 2.023 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 2.024 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 2.024 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 2.024 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 2.025 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.025 * [backup-simplify]: Simplify (* 1 1) into 1 2.025 * [backup-simplify]: Simplify (* 1 1) into 1 2.026 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 2.026 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 2.026 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.027 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 2.027 * [backup-simplify]: Simplify (- 0) into 0 2.027 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 2.027 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.028 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 1.0 (/ 1 N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 2.030 * [backup-simplify]: Simplify (+ (* (/ 1 (pow (/ 1 (- N)) 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) (/ 1 (- N))) (/ 1.0 2.0))) (* 1.0 (/ 1 (/ 1 (- N))))) into (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) 2.030 * [approximate]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in (N) around 0 2.030 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 2.030 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 2.030 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 2.030 * [taylor]: Taking taylor expansion of 0.5 in N 2.030 * [backup-simplify]: Simplify 0.5 into 0.5 2.030 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.030 * [taylor]: Taking taylor expansion of N in N 2.030 * [backup-simplify]: Simplify 0 into 0 2.030 * [backup-simplify]: Simplify 1 into 1 2.030 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 2.030 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 2.030 * [taylor]: Taking taylor expansion of 1.0 in N 2.030 * [backup-simplify]: Simplify 1.0 into 1.0 2.030 * [taylor]: Taking taylor expansion of N in N 2.031 * [backup-simplify]: Simplify 0 into 0 2.031 * [backup-simplify]: Simplify 1 into 1 2.031 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 2.031 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.031 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.031 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.031 * [taylor]: Taking taylor expansion of N in N 2.031 * [backup-simplify]: Simplify 0 into 0 2.031 * [backup-simplify]: Simplify 1 into 1 2.031 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 2.031 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 2.031 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 2.031 * [taylor]: Taking taylor expansion of 0.5 in N 2.031 * [backup-simplify]: Simplify 0.5 into 0.5 2.031 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.031 * [taylor]: Taking taylor expansion of N in N 2.031 * [backup-simplify]: Simplify 0 into 0 2.031 * [backup-simplify]: Simplify 1 into 1 2.031 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 2.031 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 2.031 * [taylor]: Taking taylor expansion of 1.0 in N 2.031 * [backup-simplify]: Simplify 1.0 into 1.0 2.031 * [taylor]: Taking taylor expansion of N in N 2.031 * [backup-simplify]: Simplify 0 into 0 2.031 * [backup-simplify]: Simplify 1 into 1 2.031 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 2.031 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.031 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.031 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.032 * [taylor]: Taking taylor expansion of N in N 2.032 * [backup-simplify]: Simplify 0 into 0 2.032 * [backup-simplify]: Simplify 1 into 1 2.032 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.033 * [backup-simplify]: Simplify (+ 0 0) into 0 2.033 * [backup-simplify]: Simplify (+ 0 0) into 0 2.033 * [backup-simplify]: Simplify (- 0) into 0 2.033 * [backup-simplify]: Simplify 0 into 0 2.035 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 2.035 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.036 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.036 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 2.037 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 2.037 * [backup-simplify]: Simplify (* 1 1) into 1 2.037 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 2.038 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 2.039 * [backup-simplify]: Simplify (+ 0 0) into 0 2.039 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 2.040 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 2.040 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 2.040 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.041 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 2.041 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.042 * [backup-simplify]: Simplify (* 1 1) into 1 2.042 * [backup-simplify]: Simplify (* 1 1) into 1 2.042 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 2.042 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 2.043 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 2.043 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 2.043 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 2.044 * [backup-simplify]: Simplify (+ (* (- 0.3333333333333333) (pow (/ 1 (- N)) 3)) (+ (* (- 0.5) (pow (/ 1 (- N)) 2)) (* (- 1.0) (/ 1 (- N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 2.044 * * * [progress]: simplifying candidates 2.048 * [simplify]: Simplifying: (- 2) (- (* (log N) 2)) (- (* (log N) 2)) (- (log (pow N 2))) (- 0 (* (log N) 2)) (- 0 (* (log N) 2)) (- 0 (log (pow N 2))) (- (log 1) (* (log N) 2)) (- (log 1) (* (log N) 2)) (- (log 1) (log (pow N 2))) (log (/ 1 (pow N 2))) (exp (/ 1 (pow N 2))) (/ (* (* 1 1) 1) (* (* (pow N 2) (pow N 2)) (pow N 2))) (* (cbrt (/ 1 (pow N 2))) (cbrt (/ 1 (pow N 2)))) (cbrt (/ 1 (pow N 2))) (* (* (/ 1 (pow N 2)) (/ 1 (pow N 2))) (/ 1 (pow N 2))) (sqrt (/ 1 (pow N 2))) (sqrt (/ 1 (pow N 2))) (- 1) (- (pow N 2)) (/ (* (cbrt 1) (cbrt 1)) (pow (* (cbrt N) (cbrt N)) 2)) (/ (cbrt 1) (pow (cbrt N) 2)) (/ (* (cbrt 1) (cbrt 1)) (pow (sqrt N) 2)) (/ (cbrt 1) (pow (sqrt N) 2)) (/ (* (cbrt 1) (cbrt 1)) (pow 1 2)) (/ (cbrt 1) (pow N 2)) (/ (* (cbrt 1) (cbrt 1)) N) (/ (cbrt 1) N) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ (cbrt 1) (cbrt (pow N 2))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow N 2))) (/ (cbrt 1) (sqrt (pow N 2))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (pow N 2)) (/ (* (cbrt 1) (cbrt 1)) (pow N (/ 2 2))) (/ (cbrt 1) (pow N (/ 2 2))) (/ (sqrt 1) (pow (* (cbrt N) (cbrt N)) 2)) (/ (sqrt 1) (pow (cbrt N) 2)) (/ (sqrt 1) (pow (sqrt N) 2)) (/ (sqrt 1) (pow (sqrt N) 2)) (/ (sqrt 1) (pow 1 2)) (/ (sqrt 1) (pow N 2)) (/ (sqrt 1) N) (/ (sqrt 1) N) (/ (sqrt 1) (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ (sqrt 1) (cbrt (pow N 2))) (/ (sqrt 1) (sqrt (pow N 2))) (/ (sqrt 1) (sqrt (pow N 2))) (/ (sqrt 1) 1) (/ (sqrt 1) (pow N 2)) (/ (sqrt 1) (pow N (/ 2 2))) (/ (sqrt 1) (pow N (/ 2 2))) (/ 1 (pow (* (cbrt N) (cbrt N)) 2)) (/ 1 (pow (cbrt N) 2)) (/ 1 (pow (sqrt N) 2)) (/ 1 (pow (sqrt N) 2)) (/ 1 (pow 1 2)) (/ 1 (pow N 2)) (/ 1 N) (/ 1 N) (/ 1 (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ 1 (cbrt (pow N 2))) (/ 1 (sqrt (pow N 2))) (/ 1 (sqrt (pow N 2))) (/ 1 1) (/ 1 (pow N 2)) (/ 1 (pow N (/ 2 2))) (/ 1 (pow N (/ 2 2))) (/ 1 (pow N 2)) (/ (pow N 2) 1) (/ 1 (pow (* (cbrt N) (cbrt N)) 2)) (/ 1 (pow (sqrt N) 2)) (/ 1 (pow 1 2)) (/ 1 N) (/ 1 (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ 1 (sqrt (pow N 2))) (/ 1 1) (/ 1 (pow N (/ 2 2))) (/ (pow N 2) (cbrt 1)) (/ (pow N 2) (sqrt 1)) (/ (pow N 2) 1) (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) (+ (- (* (log N) 2)) (log (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))) (+ (- (* (log N) 2)) (log (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))) (+ (- (log (pow N 2))) (log (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))) (+ (- 0 (* (log N) 2)) (log (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))) (+ (- 0 (* (log N) 2)) (log (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))) (+ (- 0 (log (pow N 2))) (log (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))) (+ (- (log 1) (* (log N) 2)) (log (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))) (+ (- (log 1) (* (log N) 2)) (log (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))) (+ (- (log 1) (log (pow N 2))) (log (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))) (+ (log (/ 1 (pow N 2))) (log (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))) (log (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))) (exp (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))) (* (/ (* (* 1 1) 1) (* (* (pow N 2) (pow N 2)) (pow N 2))) (* (* (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))) (* (* (* (/ 1 (pow N 2)) (/ 1 (pow N 2))) (/ 1 (pow N 2))) (* (* (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))) (* (cbrt (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))) (cbrt (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))))) (cbrt (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))) (* (* (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))) (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))) (sqrt (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))) (sqrt (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))) (* 1 (- (* (/ 6004799503160661.0 18014398509481984.0) 2.0) (* N 1.0))) (* (pow N 2) (* N 2.0)) (* 1 (- (pow (/ (/ 6004799503160661.0 18014398509481984.0) N) 3) (pow (/ 1.0 2.0) 3))) (* (pow N 2) (+ (* (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ (/ 6004799503160661.0 18014398509481984.0) N)) (+ (* (/ 1.0 2.0) (/ 1.0 2.0)) (* (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))))) (* 1 (- (* (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ (/ 6004799503160661.0 18014398509481984.0) N)) (* (/ 1.0 2.0) (/ 1.0 2.0)))) (* (pow N 2) (+ (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) (* (sqrt (/ 1 (pow N 2))) (sqrt (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))) (* (sqrt (/ 1 (pow N 2))) (sqrt (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))) (* (/ (sqrt 1) (pow (sqrt N) 2)) (sqrt (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))) (* (/ (sqrt 1) (pow (sqrt N) 2)) (sqrt (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))) (* (/ (sqrt 1) N) (sqrt (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))) (* (/ (sqrt 1) N) (sqrt (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))) (* (/ (sqrt 1) (sqrt (pow N 2))) (sqrt (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))) (* (/ (sqrt 1) (sqrt (pow N 2))) (sqrt (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))) (* (/ (sqrt 1) (pow N (/ 2 2))) (sqrt (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))) (* (/ (sqrt 1) (pow N (/ 2 2))) (sqrt (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))) (* (/ 1 (pow (sqrt N) 2)) (sqrt (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))) (* (/ 1 (pow (sqrt N) 2)) (sqrt (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))) (* (/ 1 N) (sqrt (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))) (* (/ 1 N) (sqrt (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))) (* (/ 1 (sqrt (pow N 2))) (sqrt (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))) (* (/ 1 (sqrt (pow N 2))) (sqrt (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))) (* (/ 1 (pow N (/ 2 2))) (sqrt (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))) (* (/ 1 (pow N (/ 2 2))) (sqrt (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))) (* (/ 1 (pow N 2)) (/ (/ 6004799503160661.0 18014398509481984.0) N)) (* (/ 1 (pow N 2)) (- (/ 1.0 2.0))) (* (/ 1 (pow N 2)) (/ (/ 6004799503160661.0 18014398509481984.0) N)) (* (/ 1 (pow N 2)) (- (/ 1.0 2.0))) (* (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1 (pow N 2))) (* (- (/ 1.0 2.0)) (/ 1 (pow N 2))) (* (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1 (pow N 2))) (* (- (/ 1.0 2.0)) (/ 1 (pow N 2))) (* (/ 1 (pow N 2)) (* (cbrt (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) (cbrt (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))))) (* (/ 1 (pow N 2)) (sqrt (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))) (* (/ 1 (pow N 2)) 1) (* (/ 1 (pow N 2)) (+ (sqrt (/ (/ 6004799503160661.0 18014398509481984.0) N)) (sqrt (/ 1.0 2.0)))) (* (/ 1 (pow N 2)) (+ (sqrt (/ (/ 6004799503160661.0 18014398509481984.0) N)) (/ (sqrt 1.0) (sqrt 2.0)))) (* (/ 1 (pow N 2)) (+ (/ (sqrt (/ 6004799503160661.0 18014398509481984.0)) (sqrt N)) (sqrt (/ 1.0 2.0)))) (* (/ 1 (pow N 2)) (+ (/ (sqrt (/ 6004799503160661.0 18014398509481984.0)) (sqrt N)) (/ (sqrt 1.0) (sqrt 2.0)))) (* (/ 1 (pow N 2)) (+ (/ (/ (sqrt 6004799503160661.0) (sqrt 18014398509481984.0)) (sqrt N)) (sqrt (/ 1.0 2.0)))) (* (/ 1 (pow N 2)) (+ (/ (/ (sqrt 6004799503160661.0) (sqrt 18014398509481984.0)) (sqrt N)) (/ (sqrt 1.0) (sqrt 2.0)))) (* (/ 1 (pow N 2)) (/ 1 1)) (* (/ 1 (pow N 2)) 1) (* (cbrt (/ 1 (pow N 2))) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) (* (sqrt (/ 1 (pow N 2))) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) (* (/ (cbrt 1) (pow (cbrt N) 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) (* (/ (cbrt 1) (pow (sqrt N) 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) (* (/ (cbrt 1) (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) (* (/ (cbrt 1) N) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) (* (/ (cbrt 1) (cbrt (pow N 2))) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) (* (/ (cbrt 1) (sqrt (pow N 2))) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) (* (/ (cbrt 1) (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) (* (/ (cbrt 1) (pow N (/ 2 2))) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) (* (/ (sqrt 1) (pow (cbrt N) 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) (* (/ (sqrt 1) (pow (sqrt N) 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) (* (/ (sqrt 1) (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) (* (/ (sqrt 1) N) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) (* (/ (sqrt 1) (cbrt (pow N 2))) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) (* (/ (sqrt 1) (sqrt (pow N 2))) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) (* (/ (sqrt 1) (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) (* (/ (sqrt 1) (pow N (/ 2 2))) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) (* (/ 1 (pow (cbrt N) 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) (* (/ 1 (pow (sqrt N) 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) (* (/ 1 N) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) (* (/ 1 (cbrt (pow N 2))) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) (* (/ 1 (sqrt (pow N 2))) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) (* (/ 1 (pow N (/ 2 2))) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) (* (/ 1 (pow N 2)) (- (* (/ 6004799503160661.0 18014398509481984.0) 2.0) (* N 1.0))) (* (/ 1 (pow N 2)) (- (pow (/ (/ 6004799503160661.0 18014398509481984.0) N) 3) (pow (/ 1.0 2.0) 3))) (* (/ 1 (pow N 2)) (- (* (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ (/ 6004799503160661.0 18014398509481984.0) N)) (* (/ 1.0 2.0) (/ 1.0 2.0)))) (* 1 (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) (* (exp (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))) (exp (* 1.0 (/ 1 N)))) (log (+ (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) (* 1.0 (/ 1 N)))) (exp (+ (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) (* 1.0 (/ 1 N)))) (* (cbrt (+ (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) (* 1.0 (/ 1 N)))) (cbrt (+ (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) (* 1.0 (/ 1 N))))) (cbrt (+ (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) (* 1.0 (/ 1 N)))) (* (* (+ (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) (* 1.0 (/ 1 N))) (+ (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) (* 1.0 (/ 1 N)))) (+ (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) (* 1.0 (/ 1 N)))) (sqrt (+ (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) (* 1.0 (/ 1 N)))) (sqrt (+ (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) (* 1.0 (/ 1 N)))) (+ (* (* 1 (- (* (/ 6004799503160661.0 18014398509481984.0) 2.0) (* N 1.0))) N) (* (* (pow N 2) (* N 2.0)) 1.0)) (* (* (pow N 2) (* N 2.0)) N) (+ (* (* 1 (- (* (/ 6004799503160661.0 18014398509481984.0) 2.0) (* N 1.0))) N) (* (* (pow N 2) (* N 2.0)) (* 1.0 1))) (* (* (pow N 2) (* N 2.0)) N) (+ (* (* 1 (- (pow (/ (/ 6004799503160661.0 18014398509481984.0) N) 3) (pow (/ 1.0 2.0) 3))) N) (* (* (pow N 2) (+ (* (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ (/ 6004799503160661.0 18014398509481984.0) N)) (+ (* (/ 1.0 2.0) (/ 1.0 2.0)) (* (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))))) 1.0)) (* (* (pow N 2) (+ (* (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ (/ 6004799503160661.0 18014398509481984.0) N)) (+ (* (/ 1.0 2.0) (/ 1.0 2.0)) (* (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))))) N) (+ (* (* 1 (- (pow (/ (/ 6004799503160661.0 18014398509481984.0) N) 3) (pow (/ 1.0 2.0) 3))) N) (* (* (pow N 2) (+ (* (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ (/ 6004799503160661.0 18014398509481984.0) N)) (+ (* (/ 1.0 2.0) (/ 1.0 2.0)) (* (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))))) (* 1.0 1))) (* (* (pow N 2) (+ (* (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ (/ 6004799503160661.0 18014398509481984.0) N)) (+ (* (/ 1.0 2.0) (/ 1.0 2.0)) (* (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))))) N) (+ (* (* 1 (- (* (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ (/ 6004799503160661.0 18014398509481984.0) N)) (* (/ 1.0 2.0) (/ 1.0 2.0)))) N) (* (* (pow N 2) (+ (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) 1.0)) (* (* (pow N 2) (+ (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) N) (+ (* (* 1 (- (* (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ (/ 6004799503160661.0 18014398509481984.0) N)) (* (/ 1.0 2.0) (/ 1.0 2.0)))) N) (* (* (pow N 2) (+ (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) (* 1.0 1))) (* (* (pow N 2) (+ (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) N) (+ (* (* (/ 1 (pow N 2)) (- (* (/ 6004799503160661.0 18014398509481984.0) 2.0) (* N 1.0))) N) (* (* N 2.0) 1.0)) (* (* N 2.0) N) (+ (* (* (/ 1 (pow N 2)) (- (* (/ 6004799503160661.0 18014398509481984.0) 2.0) (* N 1.0))) N) (* (* N 2.0) (* 1.0 1))) (* (* N 2.0) N) (+ (* (* (/ 1 (pow N 2)) (- (pow (/ (/ 6004799503160661.0 18014398509481984.0) N) 3) (pow (/ 1.0 2.0) 3))) N) (* (+ (* (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ (/ 6004799503160661.0 18014398509481984.0) N)) (+ (* (/ 1.0 2.0) (/ 1.0 2.0)) (* (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))) 1.0)) (* (+ (* (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ (/ 6004799503160661.0 18014398509481984.0) N)) (+ (* (/ 1.0 2.0) (/ 1.0 2.0)) (* (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))) N) (+ (* (* (/ 1 (pow N 2)) (- (pow (/ (/ 6004799503160661.0 18014398509481984.0) N) 3) (pow (/ 1.0 2.0) 3))) N) (* (+ (* (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ (/ 6004799503160661.0 18014398509481984.0) N)) (+ (* (/ 1.0 2.0) (/ 1.0 2.0)) (* (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))) (* 1.0 1))) (* (+ (* (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ (/ 6004799503160661.0 18014398509481984.0) N)) (+ (* (/ 1.0 2.0) (/ 1.0 2.0)) (* (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))) N) (+ (* (* (/ 1 (pow N 2)) (- (* (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ (/ 6004799503160661.0 18014398509481984.0) N)) (* (/ 1.0 2.0) (/ 1.0 2.0)))) N) (* (+ (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)) 1.0)) (* (+ (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)) N) (+ (* (* (/ 1 (pow N 2)) (- (* (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ (/ 6004799503160661.0 18014398509481984.0) N)) (* (/ 1.0 2.0) (/ 1.0 2.0)))) N) (* (+ (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)) (* 1.0 1))) (* (+ (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)) N) (+ (* (* 1 (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) N) (* (pow N 2) 1.0)) (* (pow N 2) N) (+ (* (* 1 (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) N) (* (pow N 2) (* 1.0 1))) (* (pow N 2) N) (+ (pow (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) 3) (pow (* 1.0 (/ 1 N)) 3)) (+ (* (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))) (- (* (* 1.0 (/ 1 N)) (* 1.0 (/ 1 N))) (* (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) (* 1.0 (/ 1 N))))) (- (* (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))) (* (* 1.0 (/ 1 N)) (* 1.0 (/ 1 N)))) (- (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) (* 1.0 (/ 1 N))) (+ (* (/ 1 (pow N 2)) (- (/ 1.0 2.0))) (* 1.0 (/ 1 N))) (+ (* (/ 1 (pow N 2)) (- (/ 1.0 2.0))) (* 1.0 (/ 1 N))) (+ (* (- (/ 1.0 2.0)) (/ 1 (pow N 2))) (* 1.0 (/ 1 N))) (+ (* (- (/ 1.0 2.0)) (/ 1 (pow N 2))) (* 1.0 (/ 1 N))) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 2.050 * [simplify]: Sending expressions to egg_math: (- 2) (- (* (log h0) 2)) (- (* (log h0) 2)) (- (log (pow h0 2))) (- 0 (* (log h0) 2)) (- 0 (* (log h0) 2)) (- 0 (log (pow h0 2))) (- (log 1) (* (log h0) 2)) (- (log 1) (* (log h0) 2)) (- (log 1) (log (pow h0 2))) (log (/ 1 (pow h0 2))) (exp (/ 1 (pow h0 2))) (/ (* (* 1 1) 1) (* (* (pow h0 2) (pow h0 2)) (pow h0 2))) (* (cbrt (/ 1 (pow h0 2))) (cbrt (/ 1 (pow h0 2)))) (cbrt (/ 1 (pow h0 2))) (* (* (/ 1 (pow h0 2)) (/ 1 (pow h0 2))) (/ 1 (pow h0 2))) (sqrt (/ 1 (pow h0 2))) (sqrt (/ 1 (pow h0 2))) (- 1) (- (pow h0 2)) (/ (* (cbrt 1) (cbrt 1)) (pow (* (cbrt h0) (cbrt h0)) 2)) (/ (cbrt 1) (pow (cbrt h0) 2)) (/ (* (cbrt 1) (cbrt 1)) (pow (sqrt h0) 2)) (/ (cbrt 1) (pow (sqrt h0) 2)) (/ (* (cbrt 1) (cbrt 1)) (pow 1 2)) (/ (cbrt 1) (pow h0 2)) (/ (* (cbrt 1) (cbrt 1)) h0) (/ (cbrt 1) h0) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow h0 2)) (cbrt (pow h0 2)))) (/ (cbrt 1) (cbrt (pow h0 2))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow h0 2))) (/ (cbrt 1) (sqrt (pow h0 2))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (pow h0 2)) (/ (* (cbrt 1) (cbrt 1)) (pow h0 (/ 2 2))) (/ (cbrt 1) (pow h0 (/ 2 2))) (/ (sqrt 1) (pow (* (cbrt h0) (cbrt h0)) 2)) (/ (sqrt 1) (pow (cbrt h0) 2)) (/ (sqrt 1) (pow (sqrt h0) 2)) (/ (sqrt 1) (pow (sqrt h0) 2)) (/ (sqrt 1) (pow 1 2)) (/ (sqrt 1) (pow h0 2)) (/ (sqrt 1) h0) (/ (sqrt 1) h0) (/ (sqrt 1) (* (cbrt (pow h0 2)) (cbrt (pow h0 2)))) (/ (sqrt 1) (cbrt (pow h0 2))) (/ (sqrt 1) (sqrt (pow h0 2))) (/ (sqrt 1) (sqrt (pow h0 2))) (/ (sqrt 1) 1) (/ (sqrt 1) (pow h0 2)) (/ (sqrt 1) (pow h0 (/ 2 2))) (/ (sqrt 1) (pow h0 (/ 2 2))) (/ 1 (pow (* (cbrt h0) (cbrt h0)) 2)) (/ 1 (pow (cbrt h0) 2)) (/ 1 (pow (sqrt h0) 2)) (/ 1 (pow (sqrt h0) 2)) (/ 1 (pow 1 2)) (/ 1 (pow h0 2)) (/ 1 h0) (/ 1 h0) (/ 1 (* (cbrt (pow h0 2)) (cbrt (pow h0 2)))) (/ 1 (cbrt (pow h0 2))) (/ 1 (sqrt (pow h0 2))) (/ 1 (sqrt (pow h0 2))) (/ 1 1) (/ 1 (pow h0 2)) (/ 1 (pow h0 (/ 2 2))) (/ 1 (pow h0 (/ 2 2))) (/ 1 (pow h0 2)) (/ (pow h0 2) 1) (/ 1 (pow (* (cbrt h0) (cbrt h0)) 2)) (/ 1 (pow (sqrt h0) 2)) (/ 1 (pow 1 2)) (/ 1 h0) (/ 1 (* (cbrt (pow h0 2)) (cbrt (pow h0 2)))) (/ 1 (sqrt (pow h0 2))) (/ 1 1) (/ 1 (pow h0 (/ 2 2))) (/ (pow h0 2) (cbrt 1)) (/ (pow h0 2) (sqrt 1)) (/ (pow h0 2) 1) (* (/ 1 (pow h0 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))) (+ (- (* (log h0) 2)) (log (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))) (+ (- (* (log h0) 2)) (log (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))) (+ (- (log (pow h0 2))) (log (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))) (+ (- 0 (* (log h0) 2)) (log (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))) (+ (- 0 (* (log h0) 2)) (log (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))) (+ (- 0 (log (pow h0 2))) (log (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))) (+ (- (log 1) (* (log h0) 2)) (log (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))) (+ (- (log 1) (* (log h0) 2)) (log (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))) (+ (- (log 1) (log (pow h0 2))) (log (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))) (+ (log (/ 1 (pow h0 2))) (log (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))) (log (* (/ 1 (pow h0 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))) (exp (* (/ 1 (pow h0 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))) (* (/ (* (* 1 1) 1) (* (* (pow h0 2) (pow h0 2)) (pow h0 2))) (* (* (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))) (* (* (* (/ 1 (pow h0 2)) (/ 1 (pow h0 2))) (/ 1 (pow h0 2))) (* (* (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))) (* (cbrt (* (/ 1 (pow h0 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))) (cbrt (* (/ 1 (pow h0 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))))) (cbrt (* (/ 1 (pow h0 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))) (* (* (* (/ 1 (pow h0 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))) (* (/ 1 (pow h0 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))) (* (/ 1 (pow h0 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))) (sqrt (* (/ 1 (pow h0 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))) (sqrt (* (/ 1 (pow h0 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))) (* 1 (- (* (/ 6004799503160661.0 18014398509481984.0) 2.0) (* h0 1.0))) (* (pow h0 2) (* h0 2.0)) (* 1 (- (pow (/ (/ 6004799503160661.0 18014398509481984.0) h0) 3) (pow (/ 1.0 2.0) 3))) (* (pow h0 2) (+ (* (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ (/ 6004799503160661.0 18014398509481984.0) h0)) (+ (* (/ 1.0 2.0) (/ 1.0 2.0)) (* (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))))) (* 1 (- (* (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ (/ 6004799503160661.0 18014398509481984.0) h0)) (* (/ 1.0 2.0) (/ 1.0 2.0)))) (* (pow h0 2) (+ (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))) (* (sqrt (/ 1 (pow h0 2))) (sqrt (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))) (* (sqrt (/ 1 (pow h0 2))) (sqrt (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))) (* (/ (sqrt 1) (pow (sqrt h0) 2)) (sqrt (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))) (* (/ (sqrt 1) (pow (sqrt h0) 2)) (sqrt (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))) (* (/ (sqrt 1) h0) (sqrt (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))) (* (/ (sqrt 1) h0) (sqrt (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))) (* (/ (sqrt 1) (sqrt (pow h0 2))) (sqrt (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))) (* (/ (sqrt 1) (sqrt (pow h0 2))) (sqrt (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))) (* (/ (sqrt 1) (pow h0 (/ 2 2))) (sqrt (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))) (* (/ (sqrt 1) (pow h0 (/ 2 2))) (sqrt (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))) (* (/ 1 (pow (sqrt h0) 2)) (sqrt (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))) (* (/ 1 (pow (sqrt h0) 2)) (sqrt (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))) (* (/ 1 h0) (sqrt (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))) (* (/ 1 h0) (sqrt (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))) (* (/ 1 (sqrt (pow h0 2))) (sqrt (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))) (* (/ 1 (sqrt (pow h0 2))) (sqrt (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))) (* (/ 1 (pow h0 (/ 2 2))) (sqrt (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))) (* (/ 1 (pow h0 (/ 2 2))) (sqrt (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))) (* (/ 1 (pow h0 2)) (/ (/ 6004799503160661.0 18014398509481984.0) h0)) (* (/ 1 (pow h0 2)) (- (/ 1.0 2.0))) (* (/ 1 (pow h0 2)) (/ (/ 6004799503160661.0 18014398509481984.0) h0)) (* (/ 1 (pow h0 2)) (- (/ 1.0 2.0))) (* (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1 (pow h0 2))) (* (- (/ 1.0 2.0)) (/ 1 (pow h0 2))) (* (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1 (pow h0 2))) (* (- (/ 1.0 2.0)) (/ 1 (pow h0 2))) (* (/ 1 (pow h0 2)) (* (cbrt (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))) (cbrt (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))))) (* (/ 1 (pow h0 2)) (sqrt (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))) (* (/ 1 (pow h0 2)) 1) (* (/ 1 (pow h0 2)) (+ (sqrt (/ (/ 6004799503160661.0 18014398509481984.0) h0)) (sqrt (/ 1.0 2.0)))) (* (/ 1 (pow h0 2)) (+ (sqrt (/ (/ 6004799503160661.0 18014398509481984.0) h0)) (/ (sqrt 1.0) (sqrt 2.0)))) (* (/ 1 (pow h0 2)) (+ (/ (sqrt (/ 6004799503160661.0 18014398509481984.0)) (sqrt h0)) (sqrt (/ 1.0 2.0)))) (* (/ 1 (pow h0 2)) (+ (/ (sqrt (/ 6004799503160661.0 18014398509481984.0)) (sqrt h0)) (/ (sqrt 1.0) (sqrt 2.0)))) (* (/ 1 (pow h0 2)) (+ (/ (/ (sqrt 6004799503160661.0) (sqrt 18014398509481984.0)) (sqrt h0)) (sqrt (/ 1.0 2.0)))) (* (/ 1 (pow h0 2)) (+ (/ (/ (sqrt 6004799503160661.0) (sqrt 18014398509481984.0)) (sqrt h0)) (/ (sqrt 1.0) (sqrt 2.0)))) (* (/ 1 (pow h0 2)) (/ 1 1)) (* (/ 1 (pow h0 2)) 1) (* (cbrt (/ 1 (pow h0 2))) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))) (* (sqrt (/ 1 (pow h0 2))) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))) (* (/ (cbrt 1) (pow (cbrt h0) 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))) (* (/ (cbrt 1) (pow (sqrt h0) 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))) (* (/ (cbrt 1) (pow h0 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))) (* (/ (cbrt 1) h0) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))) (* (/ (cbrt 1) (cbrt (pow h0 2))) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))) (* (/ (cbrt 1) (sqrt (pow h0 2))) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))) (* (/ (cbrt 1) (pow h0 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))) (* (/ (cbrt 1) (pow h0 (/ 2 2))) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))) (* (/ (sqrt 1) (pow (cbrt h0) 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))) (* (/ (sqrt 1) (pow (sqrt h0) 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))) (* (/ (sqrt 1) (pow h0 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))) (* (/ (sqrt 1) h0) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))) (* (/ (sqrt 1) (cbrt (pow h0 2))) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))) (* (/ (sqrt 1) (sqrt (pow h0 2))) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))) (* (/ (sqrt 1) (pow h0 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))) (* (/ (sqrt 1) (pow h0 (/ 2 2))) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))) (* (/ 1 (pow (cbrt h0) 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))) (* (/ 1 (pow (sqrt h0) 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))) (* (/ 1 (pow h0 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))) (* (/ 1 h0) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))) (* (/ 1 (cbrt (pow h0 2))) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))) (* (/ 1 (sqrt (pow h0 2))) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))) (* (/ 1 (pow h0 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))) (* (/ 1 (pow h0 (/ 2 2))) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))) (* (/ 1 (pow h0 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))) (* (/ 1 (pow h0 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))) (* (/ 1 (pow h0 2)) (- (* (/ 6004799503160661.0 18014398509481984.0) 2.0) (* h0 1.0))) (* (/ 1 (pow h0 2)) (- (pow (/ (/ 6004799503160661.0 18014398509481984.0) h0) 3) (pow (/ 1.0 2.0) 3))) (* (/ 1 (pow h0 2)) (- (* (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ (/ 6004799503160661.0 18014398509481984.0) h0)) (* (/ 1.0 2.0) (/ 1.0 2.0)))) (* 1 (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))) (* (exp (* (/ 1 (pow h0 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))) (exp (* 1.0 (/ 1 h0)))) (log (+ (* (/ 1 (pow h0 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))) (* 1.0 (/ 1 h0)))) (exp (+ (* (/ 1 (pow h0 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))) (* 1.0 (/ 1 h0)))) (* (cbrt (+ (* (/ 1 (pow h0 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))) (* 1.0 (/ 1 h0)))) (cbrt (+ (* (/ 1 (pow h0 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))) (* 1.0 (/ 1 h0))))) (cbrt (+ (* (/ 1 (pow h0 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))) (* 1.0 (/ 1 h0)))) (* (* (+ (* (/ 1 (pow h0 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))) (* 1.0 (/ 1 h0))) (+ (* (/ 1 (pow h0 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))) (* 1.0 (/ 1 h0)))) (+ (* (/ 1 (pow h0 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))) (* 1.0 (/ 1 h0)))) (sqrt (+ (* (/ 1 (pow h0 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))) (* 1.0 (/ 1 h0)))) (sqrt (+ (* (/ 1 (pow h0 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))) (* 1.0 (/ 1 h0)))) (+ (* (* 1 (- (* (/ 6004799503160661.0 18014398509481984.0) 2.0) (* h0 1.0))) h0) (* (* (pow h0 2) (* h0 2.0)) 1.0)) (* (* (pow h0 2) (* h0 2.0)) h0) (+ (* (* 1 (- (* (/ 6004799503160661.0 18014398509481984.0) 2.0) (* h0 1.0))) h0) (* (* (pow h0 2) (* h0 2.0)) (* 1.0 1))) (* (* (pow h0 2) (* h0 2.0)) h0) (+ (* (* 1 (- (pow (/ (/ 6004799503160661.0 18014398509481984.0) h0) 3) (pow (/ 1.0 2.0) 3))) h0) (* (* (pow h0 2) (+ (* (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ (/ 6004799503160661.0 18014398509481984.0) h0)) (+ (* (/ 1.0 2.0) (/ 1.0 2.0)) (* (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))))) 1.0)) (* (* (pow h0 2) (+ (* (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ (/ 6004799503160661.0 18014398509481984.0) h0)) (+ (* (/ 1.0 2.0) (/ 1.0 2.0)) (* (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))))) h0) (+ (* (* 1 (- (pow (/ (/ 6004799503160661.0 18014398509481984.0) h0) 3) (pow (/ 1.0 2.0) 3))) h0) (* (* (pow h0 2) (+ (* (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ (/ 6004799503160661.0 18014398509481984.0) h0)) (+ (* (/ 1.0 2.0) (/ 1.0 2.0)) (* (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))))) (* 1.0 1))) (* (* (pow h0 2) (+ (* (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ (/ 6004799503160661.0 18014398509481984.0) h0)) (+ (* (/ 1.0 2.0) (/ 1.0 2.0)) (* (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))))) h0) (+ (* (* 1 (- (* (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ (/ 6004799503160661.0 18014398509481984.0) h0)) (* (/ 1.0 2.0) (/ 1.0 2.0)))) h0) (* (* (pow h0 2) (+ (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))) 1.0)) (* (* (pow h0 2) (+ (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))) h0) (+ (* (* 1 (- (* (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ (/ 6004799503160661.0 18014398509481984.0) h0)) (* (/ 1.0 2.0) (/ 1.0 2.0)))) h0) (* (* (pow h0 2) (+ (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))) (* 1.0 1))) (* (* (pow h0 2) (+ (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))) h0) (+ (* (* (/ 1 (pow h0 2)) (- (* (/ 6004799503160661.0 18014398509481984.0) 2.0) (* h0 1.0))) h0) (* (* h0 2.0) 1.0)) (* (* h0 2.0) h0) (+ (* (* (/ 1 (pow h0 2)) (- (* (/ 6004799503160661.0 18014398509481984.0) 2.0) (* h0 1.0))) h0) (* (* h0 2.0) (* 1.0 1))) (* (* h0 2.0) h0) (+ (* (* (/ 1 (pow h0 2)) (- (pow (/ (/ 6004799503160661.0 18014398509481984.0) h0) 3) (pow (/ 1.0 2.0) 3))) h0) (* (+ (* (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ (/ 6004799503160661.0 18014398509481984.0) h0)) (+ (* (/ 1.0 2.0) (/ 1.0 2.0)) (* (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))) 1.0)) (* (+ (* (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ (/ 6004799503160661.0 18014398509481984.0) h0)) (+ (* (/ 1.0 2.0) (/ 1.0 2.0)) (* (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))) h0) (+ (* (* (/ 1 (pow h0 2)) (- (pow (/ (/ 6004799503160661.0 18014398509481984.0) h0) 3) (pow (/ 1.0 2.0) 3))) h0) (* (+ (* (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ (/ 6004799503160661.0 18014398509481984.0) h0)) (+ (* (/ 1.0 2.0) (/ 1.0 2.0)) (* (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))) (* 1.0 1))) (* (+ (* (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ (/ 6004799503160661.0 18014398509481984.0) h0)) (+ (* (/ 1.0 2.0) (/ 1.0 2.0)) (* (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))) h0) (+ (* (* (/ 1 (pow h0 2)) (- (* (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ (/ 6004799503160661.0 18014398509481984.0) h0)) (* (/ 1.0 2.0) (/ 1.0 2.0)))) h0) (* (+ (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)) 1.0)) (* (+ (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)) h0) (+ (* (* (/ 1 (pow h0 2)) (- (* (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ (/ 6004799503160661.0 18014398509481984.0) h0)) (* (/ 1.0 2.0) (/ 1.0 2.0)))) h0) (* (+ (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)) (* 1.0 1))) (* (+ (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)) h0) (+ (* (* 1 (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))) h0) (* (pow h0 2) 1.0)) (* (pow h0 2) h0) (+ (* (* 1 (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))) h0) (* (pow h0 2) (* 1.0 1))) (* (pow h0 2) h0) (+ (pow (* (/ 1 (pow h0 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))) 3) (pow (* 1.0 (/ 1 h0)) 3)) (+ (* (* (/ 1 (pow h0 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))) (* (/ 1 (pow h0 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))) (- (* (* 1.0 (/ 1 h0)) (* 1.0 (/ 1 h0))) (* (* (/ 1 (pow h0 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))) (* 1.0 (/ 1 h0))))) (- (* (* (/ 1 (pow h0 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))) (* (/ 1 (pow h0 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))) (* (* 1.0 (/ 1 h0)) (* 1.0 (/ 1 h0)))) (- (* (/ 1 (pow h0 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))) (* 1.0 (/ 1 h0))) (+ (* (/ 1 (pow h0 2)) (- (/ 1.0 2.0))) (* 1.0 (/ 1 h0))) (+ (* (/ 1 (pow h0 2)) (- (/ 1.0 2.0))) (* 1.0 (/ 1 h0))) (+ (* (- (/ 1.0 2.0)) (/ 1 (pow h0 2))) (* 1.0 (/ 1 h0))) (+ (* (- (/ 1.0 2.0)) (/ 1 (pow h0 2))) (* 1.0 (/ 1 h0))) (/ 1 (pow h0 2)) (/ 1 (pow h0 2)) (/ 1 (pow h0 2)) (- (* (/ 6004799503160661.0 18014398509481984.0) (/ 1 (pow h0 3))) (* (/ 1.0 2.0) (/ 1 (pow h0 2)))) (- (* (/ 6004799503160661.0 18014398509481984.0) (/ 1 (pow h0 3))) (* (/ 1.0 2.0) (/ 1 (pow h0 2)))) (- (* (/ 6004799503160661.0 18014398509481984.0) (/ 1 (pow h0 3))) (* (/ 1.0 2.0) (/ 1 (pow h0 2)))) (- (+ (* 1.0 (/ 1 h0)) (* (/ 6004799503160661.0 18014398509481984.0) (/ 1 (pow h0 3)))) (* (/ 1.0 2.0) (/ 1 (pow h0 2)))) (- (+ (* (/ 6004799503160661.0 18014398509481984.0) (/ 1 (pow h0 3))) (* 1.0 (/ 1 h0))) (* (/ 1.0 2.0) (/ 1 (pow h0 2)))) (- (+ (* (/ 6004799503160661.0 18014398509481984.0) (/ 1 (pow h0 3))) (* 1.0 (/ 1 h0))) (* (/ 1.0 2.0) (/ 1 (pow h0 2)))) 3.653 * * * [progress]: adding candidates to table 4.138 * * [progress]: iteration 3 / 4 4.138 * * * [progress]: picking best candidate 4.145 * * * * [pick]: Picked # 4.145 * * * [progress]: localizing error 4.151 * * * [progress]: generating rewritten candidates 4.151 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 4.163 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 4.205 * * * [progress]: generating series expansions 4.205 * * * * [progress]: [ 1 / 2 ] generating series at (2) 4.205 * [backup-simplify]: Simplify (log (/ (+ N 1.0) N)) into (log (/ (+ N 1.0) N)) 4.205 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 4.205 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 4.205 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 4.205 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 4.205 * [taylor]: Taking taylor expansion of N in N 4.205 * [backup-simplify]: Simplify 0 into 0 4.205 * [backup-simplify]: Simplify 1 into 1 4.205 * [taylor]: Taking taylor expansion of 1.0 in N 4.205 * [backup-simplify]: Simplify 1.0 into 1.0 4.205 * [taylor]: Taking taylor expansion of N in N 4.205 * [backup-simplify]: Simplify 0 into 0 4.205 * [backup-simplify]: Simplify 1 into 1 4.206 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.206 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 4.207 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 4.207 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 4.207 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 4.207 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 4.207 * [taylor]: Taking taylor expansion of N in N 4.207 * [backup-simplify]: Simplify 0 into 0 4.207 * [backup-simplify]: Simplify 1 into 1 4.207 * [taylor]: Taking taylor expansion of 1.0 in N 4.207 * [backup-simplify]: Simplify 1.0 into 1.0 4.207 * [taylor]: Taking taylor expansion of N in N 4.207 * [backup-simplify]: Simplify 0 into 0 4.207 * [backup-simplify]: Simplify 1 into 1 4.208 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.208 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 4.208 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 4.209 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 4.210 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 4.210 * [backup-simplify]: Simplify (+ 1 0) into 1 4.211 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 4.214 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 4.215 * [backup-simplify]: Simplify 1.0 into 1.0 4.215 * [backup-simplify]: Simplify (+ 0 0) into 0 4.215 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 4.221 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 4.222 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 4.223 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 4.223 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (log (* N (+ (/ 1 N) 1.0))) 4.223 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 4.223 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 4.223 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 4.223 * [taylor]: Taking taylor expansion of N in N 4.223 * [backup-simplify]: Simplify 0 into 0 4.223 * [backup-simplify]: Simplify 1 into 1 4.223 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 4.223 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.223 * [taylor]: Taking taylor expansion of N in N 4.223 * [backup-simplify]: Simplify 0 into 0 4.223 * [backup-simplify]: Simplify 1 into 1 4.224 * [backup-simplify]: Simplify (/ 1 1) into 1 4.224 * [taylor]: Taking taylor expansion of 1.0 in N 4.224 * [backup-simplify]: Simplify 1.0 into 1.0 4.224 * [backup-simplify]: Simplify (+ 1 0) into 1 4.224 * [backup-simplify]: Simplify (* 0 1) into 0 4.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.225 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.225 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 4.226 * [backup-simplify]: Simplify (log 1) into 0 4.226 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 4.226 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 4.226 * [taylor]: Taking taylor expansion of N in N 4.226 * [backup-simplify]: Simplify 0 into 0 4.226 * [backup-simplify]: Simplify 1 into 1 4.226 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 4.226 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.226 * [taylor]: Taking taylor expansion of N in N 4.226 * [backup-simplify]: Simplify 0 into 0 4.226 * [backup-simplify]: Simplify 1 into 1 4.226 * [backup-simplify]: Simplify (/ 1 1) into 1 4.226 * [taylor]: Taking taylor expansion of 1.0 in N 4.226 * [backup-simplify]: Simplify 1.0 into 1.0 4.226 * [backup-simplify]: Simplify (+ 1 0) into 1 4.227 * [backup-simplify]: Simplify (* 0 1) into 0 4.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.227 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.228 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 4.228 * [backup-simplify]: Simplify (log 1) into 0 4.228 * [backup-simplify]: Simplify 0 into 0 4.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.235 * [backup-simplify]: Simplify (+ 0 0) into 0 4.237 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 4.243 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 4.243 * [backup-simplify]: Simplify 1.0 into 1.0 4.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.245 * [backup-simplify]: Simplify (+ 0 0) into 0 4.247 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 4.258 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 4.258 * [backup-simplify]: Simplify -0.5 into -0.5 4.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.259 * [backup-simplify]: Simplify (+ 0 0) into 0 4.260 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 4.270 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0.3333333333333333 4.270 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 4.270 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (+ (* -0.5 (pow (/ 1 N) 2)) (* 1.0 (/ 1 N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 4.270 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (log (* -1 (* N (- 1.0 (/ 1 N))))) 4.270 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 4.270 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 4.270 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 4.270 * [taylor]: Taking taylor expansion of -1 in N 4.271 * [backup-simplify]: Simplify -1 into -1 4.271 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 4.271 * [taylor]: Taking taylor expansion of N in N 4.271 * [backup-simplify]: Simplify 0 into 0 4.271 * [backup-simplify]: Simplify 1 into 1 4.271 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 4.271 * [taylor]: Taking taylor expansion of 1.0 in N 4.271 * [backup-simplify]: Simplify 1.0 into 1.0 4.271 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.271 * [taylor]: Taking taylor expansion of N in N 4.271 * [backup-simplify]: Simplify 0 into 0 4.271 * [backup-simplify]: Simplify 1 into 1 4.271 * [backup-simplify]: Simplify (/ 1 1) into 1 4.271 * [backup-simplify]: Simplify (- 1) into -1 4.271 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.272 * [backup-simplify]: Simplify (* 0 -1) into 0 4.272 * [backup-simplify]: Simplify (* -1 0) into 0 4.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.273 * [backup-simplify]: Simplify (- 0) into 0 4.273 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.273 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 4.274 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 4.274 * [backup-simplify]: Simplify (log 1) into 0 4.274 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 4.274 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 4.274 * [taylor]: Taking taylor expansion of -1 in N 4.274 * [backup-simplify]: Simplify -1 into -1 4.274 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 4.274 * [taylor]: Taking taylor expansion of N in N 4.274 * [backup-simplify]: Simplify 0 into 0 4.274 * [backup-simplify]: Simplify 1 into 1 4.274 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 4.274 * [taylor]: Taking taylor expansion of 1.0 in N 4.274 * [backup-simplify]: Simplify 1.0 into 1.0 4.274 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.274 * [taylor]: Taking taylor expansion of N in N 4.274 * [backup-simplify]: Simplify 0 into 0 4.274 * [backup-simplify]: Simplify 1 into 1 4.275 * [backup-simplify]: Simplify (/ 1 1) into 1 4.275 * [backup-simplify]: Simplify (- 1) into -1 4.275 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.275 * [backup-simplify]: Simplify (* 0 -1) into 0 4.276 * [backup-simplify]: Simplify (* -1 0) into 0 4.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.277 * [backup-simplify]: Simplify (- 0) into 0 4.277 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.278 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 4.279 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 4.279 * [backup-simplify]: Simplify (log 1) into 0 4.279 * [backup-simplify]: Simplify 0 into 0 4.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.281 * [backup-simplify]: Simplify (- 0) into 0 4.281 * [backup-simplify]: Simplify (+ 0 0) into 0 4.284 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 4.286 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 4.295 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 4.295 * [backup-simplify]: Simplify -1.0 into -1.0 4.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.296 * [backup-simplify]: Simplify (- 0) into 0 4.296 * [backup-simplify]: Simplify (+ 0 0) into 0 4.298 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 4.299 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 4.311 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 1.0)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 4.311 * [backup-simplify]: Simplify -0.5 into -0.5 4.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.313 * [backup-simplify]: Simplify (- 0) into 0 4.313 * [backup-simplify]: Simplify (+ 0 0) into 0 4.315 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 4.316 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 4.330 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- 1.0)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (- 1.0)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into -0.3333333333333333 4.330 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 4.331 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 (pow (/ 1 (- N)) 3)) (+ (* -0.5 (pow (/ 1 (- N)) 2)) (* -1.0 (/ 1 (- N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 4.331 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 4.331 * [backup-simplify]: Simplify (/ (+ N 1.0) N) into (/ (+ N 1.0) N) 4.331 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 4.331 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 4.331 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 4.331 * [taylor]: Taking taylor expansion of N in N 4.331 * [backup-simplify]: Simplify 0 into 0 4.331 * [backup-simplify]: Simplify 1 into 1 4.331 * [taylor]: Taking taylor expansion of 1.0 in N 4.331 * [backup-simplify]: Simplify 1.0 into 1.0 4.331 * [taylor]: Taking taylor expansion of N in N 4.331 * [backup-simplify]: Simplify 0 into 0 4.331 * [backup-simplify]: Simplify 1 into 1 4.331 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.332 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 4.332 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 4.332 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 4.332 * [taylor]: Taking taylor expansion of N in N 4.332 * [backup-simplify]: Simplify 0 into 0 4.332 * [backup-simplify]: Simplify 1 into 1 4.332 * [taylor]: Taking taylor expansion of 1.0 in N 4.332 * [backup-simplify]: Simplify 1.0 into 1.0 4.332 * [taylor]: Taking taylor expansion of N in N 4.332 * [backup-simplify]: Simplify 0 into 0 4.332 * [backup-simplify]: Simplify 1 into 1 4.332 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.332 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 4.332 * [backup-simplify]: Simplify 1.0 into 1.0 4.333 * [backup-simplify]: Simplify (+ 1 0) into 1 4.333 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 4.333 * [backup-simplify]: Simplify 1 into 1 4.333 * [backup-simplify]: Simplify (+ 0 0) into 0 4.334 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 4.334 * [backup-simplify]: Simplify 0 into 0 4.334 * [backup-simplify]: Simplify (+ 0 0) into 0 4.335 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.335 * [backup-simplify]: Simplify 0 into 0 4.335 * [backup-simplify]: Simplify (+ 0 0) into 0 4.336 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.336 * [backup-simplify]: Simplify 0 into 0 4.336 * [backup-simplify]: Simplify (+ 0 0) into 0 4.337 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.337 * [backup-simplify]: Simplify 0 into 0 4.337 * [backup-simplify]: Simplify (+ 0 0) into 0 4.338 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.338 * [backup-simplify]: Simplify 0 into 0 4.338 * [backup-simplify]: Simplify (+ 0 0) into 0 4.339 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.339 * [backup-simplify]: Simplify 0 into 0 4.339 * [backup-simplify]: Simplify (+ 1 (* 1.0 (/ 1 N))) into (+ (* 1.0 (/ 1 N)) 1) 4.339 * [backup-simplify]: Simplify (/ (+ (/ 1 N) 1.0) (/ 1 N)) into (* N (+ (/ 1 N) 1.0)) 4.339 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 4.339 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 4.339 * [taylor]: Taking taylor expansion of N in N 4.339 * [backup-simplify]: Simplify 0 into 0 4.339 * [backup-simplify]: Simplify 1 into 1 4.339 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 4.339 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.339 * [taylor]: Taking taylor expansion of N in N 4.339 * [backup-simplify]: Simplify 0 into 0 4.339 * [backup-simplify]: Simplify 1 into 1 4.339 * [backup-simplify]: Simplify (/ 1 1) into 1 4.339 * [taylor]: Taking taylor expansion of 1.0 in N 4.339 * [backup-simplify]: Simplify 1.0 into 1.0 4.339 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 4.339 * [taylor]: Taking taylor expansion of N in N 4.339 * [backup-simplify]: Simplify 0 into 0 4.339 * [backup-simplify]: Simplify 1 into 1 4.339 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 4.339 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.339 * [taylor]: Taking taylor expansion of N in N 4.339 * [backup-simplify]: Simplify 0 into 0 4.339 * [backup-simplify]: Simplify 1 into 1 4.340 * [backup-simplify]: Simplify (/ 1 1) into 1 4.340 * [taylor]: Taking taylor expansion of 1.0 in N 4.340 * [backup-simplify]: Simplify 1.0 into 1.0 4.340 * [backup-simplify]: Simplify (+ 1 0) into 1 4.340 * [backup-simplify]: Simplify (* 0 1) into 0 4.340 * [backup-simplify]: Simplify 0 into 0 4.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.341 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.341 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 4.341 * [backup-simplify]: Simplify 1 into 1 4.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.342 * [backup-simplify]: Simplify (+ 0 0) into 0 4.344 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 4.344 * [backup-simplify]: Simplify 1.0 into 1.0 4.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.345 * [backup-simplify]: Simplify (+ 0 0) into 0 4.345 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 4.345 * [backup-simplify]: Simplify 0 into 0 4.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.346 * [backup-simplify]: Simplify (+ 0 0) into 0 4.347 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 4.347 * [backup-simplify]: Simplify 0 into 0 4.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.348 * [backup-simplify]: Simplify (+ 0 0) into 0 4.355 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))) into 0 4.355 * [backup-simplify]: Simplify 0 into 0 4.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.357 * [backup-simplify]: Simplify (+ 0 0) into 0 4.358 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))) into 0 4.358 * [backup-simplify]: Simplify 0 into 0 4.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.360 * [backup-simplify]: Simplify (+ 0 0) into 0 4.362 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))))) into 0 4.362 * [backup-simplify]: Simplify 0 into 0 4.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.363 * [backup-simplify]: Simplify (+ 0 0) into 0 4.366 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))))) into 0 4.366 * [backup-simplify]: Simplify 0 into 0 4.366 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) 1) into (+ (* 1.0 (/ 1 N)) 1) 4.366 * [backup-simplify]: Simplify (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N))) into (* -1 (* N (- 1.0 (/ 1 N)))) 4.366 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 4.366 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 4.366 * [taylor]: Taking taylor expansion of -1 in N 4.366 * [backup-simplify]: Simplify -1 into -1 4.366 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 4.366 * [taylor]: Taking taylor expansion of N in N 4.366 * [backup-simplify]: Simplify 0 into 0 4.366 * [backup-simplify]: Simplify 1 into 1 4.367 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 4.367 * [taylor]: Taking taylor expansion of 1.0 in N 4.367 * [backup-simplify]: Simplify 1.0 into 1.0 4.367 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.367 * [taylor]: Taking taylor expansion of N in N 4.367 * [backup-simplify]: Simplify 0 into 0 4.367 * [backup-simplify]: Simplify 1 into 1 4.367 * [backup-simplify]: Simplify (/ 1 1) into 1 4.367 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 4.367 * [taylor]: Taking taylor expansion of -1 in N 4.367 * [backup-simplify]: Simplify -1 into -1 4.367 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 4.367 * [taylor]: Taking taylor expansion of N in N 4.367 * [backup-simplify]: Simplify 0 into 0 4.367 * [backup-simplify]: Simplify 1 into 1 4.367 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 4.367 * [taylor]: Taking taylor expansion of 1.0 in N 4.367 * [backup-simplify]: Simplify 1.0 into 1.0 4.367 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.367 * [taylor]: Taking taylor expansion of N in N 4.367 * [backup-simplify]: Simplify 0 into 0 4.367 * [backup-simplify]: Simplify 1 into 1 4.368 * [backup-simplify]: Simplify (/ 1 1) into 1 4.368 * [backup-simplify]: Simplify (- 1) into -1 4.368 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.368 * [backup-simplify]: Simplify (* 0 -1) into 0 4.369 * [backup-simplify]: Simplify (* -1 0) into 0 4.369 * [backup-simplify]: Simplify 0 into 0 4.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.369 * [backup-simplify]: Simplify (- 0) into 0 4.370 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.370 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 4.370 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 4.370 * [backup-simplify]: Simplify 1 into 1 4.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.371 * [backup-simplify]: Simplify (- 0) into 0 4.371 * [backup-simplify]: Simplify (+ 0 0) into 0 4.373 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 4.374 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 4.374 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 4.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.375 * [backup-simplify]: Simplify (- 0) into 0 4.376 * [backup-simplify]: Simplify (+ 0 0) into 0 4.376 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 4.377 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 4.377 * [backup-simplify]: Simplify 0 into 0 4.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.378 * [backup-simplify]: Simplify (- 0) into 0 4.378 * [backup-simplify]: Simplify (+ 0 0) into 0 4.379 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 4.380 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 4.380 * [backup-simplify]: Simplify 0 into 0 4.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.380 * [backup-simplify]: Simplify (- 0) into 0 4.381 * [backup-simplify]: Simplify (+ 0 0) into 0 4.381 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0 4.382 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))) into 0 4.382 * [backup-simplify]: Simplify 0 into 0 4.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.383 * [backup-simplify]: Simplify (- 0) into 0 4.383 * [backup-simplify]: Simplify (+ 0 0) into 0 4.384 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0 4.385 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))) into 0 4.385 * [backup-simplify]: Simplify 0 into 0 4.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.386 * [backup-simplify]: Simplify (- 0) into 0 4.386 * [backup-simplify]: Simplify (+ 0 0) into 0 4.387 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0 4.388 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))))) into 0 4.388 * [backup-simplify]: Simplify 0 into 0 4.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.389 * [backup-simplify]: Simplify (- 0) into 0 4.389 * [backup-simplify]: Simplify (+ 0 0) into 0 4.391 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))))) into 0 4.392 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))))) into 0 4.392 * [backup-simplify]: Simplify 0 into 0 4.392 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (- N))) 1) into (+ (* 1.0 (/ 1 N)) 1) 4.392 * * * [progress]: simplifying candidates 4.393 * [simplify]: Simplifying: (log (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1)) (log (/ (cbrt (+ N 1.0)) N)) (log (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1.0)) (cbrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt N))) (log (/ (sqrt (+ N 1.0)) 1)) (log (/ (sqrt (+ N 1.0)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1.0) N)) (log 1) (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (log (/ 1 N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (exp (log (/ (+ N 1.0) N))) (* (cbrt (log (/ (+ N 1.0) N))) (cbrt (log (/ (+ N 1.0) N)))) (cbrt (log (/ (+ N 1.0) N))) (* (* (log (/ (+ N 1.0) N)) (log (/ (+ N 1.0) N))) (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (sqrt (log (/ (+ N 1.0) N))) (- (log (+ N 1.0)) (log N)) (log (/ (+ N 1.0) N)) (exp (/ (+ N 1.0) N)) (/ (* (* (+ N 1.0) (+ N 1.0)) (+ N 1.0)) (* (* N N) N)) (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N))) (cbrt (/ (+ N 1.0) N)) (* (* (/ (+ N 1.0) N) (/ (+ N 1.0) N)) (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (sqrt (/ (+ N 1.0) N)) (- (+ N 1.0)) (- N) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ N 1.0)) (cbrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt N)) (/ (cbrt (+ N 1.0)) (sqrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1) (/ (cbrt (+ N 1.0)) N) (/ (sqrt (+ N 1.0)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1.0)) (cbrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) 1) (/ (sqrt (+ N 1.0)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) (/ 1 1) (/ (+ N 1.0) N) (/ 1 N) (/ N (+ N 1.0)) (/ (+ N 1.0) (* (cbrt N) (cbrt N))) (/ (+ N 1.0) (sqrt N)) (/ (+ N 1.0) 1) (/ N (cbrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (+ N 1.0)) (/ N (+ N 1.0)) (* N (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (* N (- N 1.0)) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) 4.394 * [simplify]: Sending expressions to egg_math: (log (* (cbrt (/ (+ h0 1.0) h0)) (cbrt (/ (+ h0 1.0) h0)))) (log (cbrt (/ (+ h0 1.0) h0))) (log (sqrt (/ (+ h0 1.0) h0))) (log (sqrt (/ (+ h0 1.0) h0))) (log (/ (* (cbrt (+ h0 1.0)) (cbrt (+ h0 1.0))) (* (cbrt h0) (cbrt h0)))) (log (/ (cbrt (+ h0 1.0)) (cbrt h0))) (log (/ (* (cbrt (+ h0 1.0)) (cbrt (+ h0 1.0))) (sqrt h0))) (log (/ (cbrt (+ h0 1.0)) (sqrt h0))) (log (/ (* (cbrt (+ h0 1.0)) (cbrt (+ h0 1.0))) 1)) (log (/ (cbrt (+ h0 1.0)) h0)) (log (/ (sqrt (+ h0 1.0)) (* (cbrt h0) (cbrt h0)))) (log (/ (sqrt (+ h0 1.0)) (cbrt h0))) (log (/ (sqrt (+ h0 1.0)) (sqrt h0))) (log (/ (sqrt (+ h0 1.0)) (sqrt h0))) (log (/ (sqrt (+ h0 1.0)) 1)) (log (/ (sqrt (+ h0 1.0)) h0)) (log (/ 1 (* (cbrt h0) (cbrt h0)))) (log (/ (+ h0 1.0) (cbrt h0))) (log (/ 1 (sqrt h0))) (log (/ (+ h0 1.0) (sqrt h0))) (log (/ 1 1)) (log (/ (+ h0 1.0) h0)) (log (/ 1 (* (cbrt h0) (cbrt h0)))) (log (/ (+ h0 1.0) (cbrt h0))) (log (/ 1 (sqrt h0))) (log (/ (+ h0 1.0) (sqrt h0))) (log (/ 1 1)) (log (/ (+ h0 1.0) h0)) (log 1) (log (/ (+ h0 1.0) h0)) (log (+ h0 1.0)) (log (/ 1 h0)) (log (+ h0 1.0)) (log h0) (log (/ (+ h0 1.0) h0)) (log (log (/ (+ h0 1.0) h0))) (exp (log (/ (+ h0 1.0) h0))) (* (cbrt (log (/ (+ h0 1.0) h0))) (cbrt (log (/ (+ h0 1.0) h0)))) (cbrt (log (/ (+ h0 1.0) h0))) (* (* (log (/ (+ h0 1.0) h0)) (log (/ (+ h0 1.0) h0))) (log (/ (+ h0 1.0) h0))) (sqrt (log (/ (+ h0 1.0) h0))) (sqrt (log (/ (+ h0 1.0) h0))) (- (log (+ h0 1.0)) (log h0)) (log (/ (+ h0 1.0) h0)) (exp (/ (+ h0 1.0) h0)) (/ (* (* (+ h0 1.0) (+ h0 1.0)) (+ h0 1.0)) (* (* h0 h0) h0)) (* (cbrt (/ (+ h0 1.0) h0)) (cbrt (/ (+ h0 1.0) h0))) (cbrt (/ (+ h0 1.0) h0)) (* (* (/ (+ h0 1.0) h0) (/ (+ h0 1.0) h0)) (/ (+ h0 1.0) h0)) (sqrt (/ (+ h0 1.0) h0)) (sqrt (/ (+ h0 1.0) h0)) (- (+ h0 1.0)) (- h0) (/ (* (cbrt (+ h0 1.0)) (cbrt (+ h0 1.0))) (* (cbrt h0) (cbrt h0))) (/ (cbrt (+ h0 1.0)) (cbrt h0)) (/ (* (cbrt (+ h0 1.0)) (cbrt (+ h0 1.0))) (sqrt h0)) (/ (cbrt (+ h0 1.0)) (sqrt h0)) (/ (* (cbrt (+ h0 1.0)) (cbrt (+ h0 1.0))) 1) (/ (cbrt (+ h0 1.0)) h0) (/ (sqrt (+ h0 1.0)) (* (cbrt h0) (cbrt h0))) (/ (sqrt (+ h0 1.0)) (cbrt h0)) (/ (sqrt (+ h0 1.0)) (sqrt h0)) (/ (sqrt (+ h0 1.0)) (sqrt h0)) (/ (sqrt (+ h0 1.0)) 1) (/ (sqrt (+ h0 1.0)) h0) (/ 1 (* (cbrt h0) (cbrt h0))) (/ (+ h0 1.0) (cbrt h0)) (/ 1 (sqrt h0)) (/ (+ h0 1.0) (sqrt h0)) (/ 1 1) (/ (+ h0 1.0) h0) (/ 1 (* (cbrt h0) (cbrt h0))) (/ (+ h0 1.0) (cbrt h0)) (/ 1 (sqrt h0)) (/ (+ h0 1.0) (sqrt h0)) (/ 1 1) (/ (+ h0 1.0) h0) (/ 1 h0) (/ h0 (+ h0 1.0)) (/ (+ h0 1.0) (* (cbrt h0) (cbrt h0))) (/ (+ h0 1.0) (sqrt h0)) (/ (+ h0 1.0) 1) (/ h0 (cbrt (+ h0 1.0))) (/ h0 (sqrt (+ h0 1.0))) (/ h0 (+ h0 1.0)) (/ h0 (+ h0 1.0)) (* h0 (+ (* h0 h0) (- (* 1.0 1.0) (* h0 1.0)))) (* h0 (- h0 1.0)) (- (+ (* 1.0 h0) (log 1.0)) (+ (* (/ 1 2) (/ (pow h0 2) (pow 1.0 2))) (log h0))) (- (+ (* (/ 6004799503160661.0 18014398509481984.0) (/ 1 (pow h0 3))) (* 1.0 (/ 1 h0))) (* (/ 1.0 2.0) (/ 1 (pow h0 2)))) (- (+ (* (/ 6004799503160661.0 18014398509481984.0) (/ 1 (pow h0 3))) (* 1.0 (/ 1 h0))) (* (/ 1.0 2.0) (/ 1 (pow h0 2)))) (+ (* 1.0 (/ 1 h0)) 1) (+ (* 1.0 (/ 1 h0)) 1) (+ (* 1.0 (/ 1 h0)) 1) 5.614 * * * [progress]: adding candidates to table 5.779 * * [progress]: iteration 4 / 4 5.779 * * * [progress]: picking best candidate 5.785 * * * * [pick]: Picked # 5.785 * * * [progress]: localizing error 5.804 * * * [progress]: generating rewritten candidates 5.804 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 5.844 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 1) 5.854 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 6.113 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 6.172 * * * [progress]: generating series expansions 6.172 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 6.174 * [backup-simplify]: Simplify (log (exp (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))))) into (/ (- (* 0.3333333333333333 (/ 1 N)) 0.5) (pow N 2)) 6.174 * [approximate]: Taking taylor expansion of (/ (- (* 0.3333333333333333 (/ 1 N)) 0.5) (pow N 2)) in (N) around 0 6.174 * [taylor]: Taking taylor expansion of (/ (- (* 0.3333333333333333 (/ 1 N)) 0.5) (pow N 2)) in N 6.174 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 N)) 0.5) in N 6.174 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 N)) in N 6.174 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 6.174 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.174 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.174 * [taylor]: Taking taylor expansion of N in N 6.174 * [backup-simplify]: Simplify 0 into 0 6.174 * [backup-simplify]: Simplify 1 into 1 6.175 * [backup-simplify]: Simplify (/ 1 1) into 1 6.175 * [taylor]: Taking taylor expansion of 0.5 in N 6.175 * [backup-simplify]: Simplify 0.5 into 0.5 6.175 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.175 * [taylor]: Taking taylor expansion of N in N 6.175 * [backup-simplify]: Simplify 0 into 0 6.175 * [backup-simplify]: Simplify 1 into 1 6.175 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 6.175 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 6.176 * [backup-simplify]: Simplify (* 1 1) into 1 6.176 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 6.176 * [taylor]: Taking taylor expansion of (/ (- (* 0.3333333333333333 (/ 1 N)) 0.5) (pow N 2)) in N 6.176 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 N)) 0.5) in N 6.176 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 N)) in N 6.176 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 6.176 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.176 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.176 * [taylor]: Taking taylor expansion of N in N 6.176 * [backup-simplify]: Simplify 0 into 0 6.176 * [backup-simplify]: Simplify 1 into 1 6.176 * [backup-simplify]: Simplify (/ 1 1) into 1 6.176 * [taylor]: Taking taylor expansion of 0.5 in N 6.176 * [backup-simplify]: Simplify 0.5 into 0.5 6.177 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.177 * [taylor]: Taking taylor expansion of N in N 6.177 * [backup-simplify]: Simplify 0 into 0 6.177 * [backup-simplify]: Simplify 1 into 1 6.177 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 6.177 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 6.177 * [backup-simplify]: Simplify (* 1 1) into 1 6.178 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 6.178 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.179 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 6.179 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 6.180 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 6.180 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.182 * [backup-simplify]: Simplify (- (/ (- 0.5) 1) (+ (* 0.3333333333333333 (/ 0 1)))) into (- 0.5) 6.182 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 6.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.183 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 6.183 * [backup-simplify]: Simplify (- 0) into 0 6.184 * [backup-simplify]: Simplify (+ 0 0) into 0 6.184 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.185 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* (- 0.5) (/ 0 1)))) into 0 6.185 * [backup-simplify]: Simplify 0 into 0 6.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.186 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.186 * [backup-simplify]: Simplify (- 0) into 0 6.187 * [backup-simplify]: Simplify (+ 0 0) into 0 6.187 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.188 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* (- 0.5) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.188 * [backup-simplify]: Simplify 0 into 0 6.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.189 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.190 * [backup-simplify]: Simplify (- 0) into 0 6.190 * [backup-simplify]: Simplify (+ 0 0) into 0 6.191 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.191 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* (- 0.5) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.191 * [backup-simplify]: Simplify 0 into 0 6.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.193 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.193 * [backup-simplify]: Simplify (- 0) into 0 6.193 * [backup-simplify]: Simplify (+ 0 0) into 0 6.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.195 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* (- 0.5) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.195 * [backup-simplify]: Simplify 0 into 0 6.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.197 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.198 * [backup-simplify]: Simplify (- 0) into 0 6.198 * [backup-simplify]: Simplify (+ 0 0) into 0 6.200 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.201 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* (- 0.5) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.201 * [backup-simplify]: Simplify 0 into 0 6.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.204 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 6.205 * [backup-simplify]: Simplify (- 0) into 0 6.205 * [backup-simplify]: Simplify (+ 0 0) into 0 6.207 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 6.209 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* (- 0.5) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.209 * [backup-simplify]: Simplify 0 into 0 6.211 * [backup-simplify]: Simplify (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 0.3333333333333333 (pow (/ 1 N) 3))) into (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) 6.213 * [backup-simplify]: Simplify (log (exp (* (/ 1 (pow (/ 1 N) 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) (/ 1 N)) (/ 1.0 2.0))))) into (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) 6.213 * [approximate]: Taking taylor expansion of (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) in (N) around 0 6.213 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) in N 6.213 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.213 * [taylor]: Taking taylor expansion of N in N 6.213 * [backup-simplify]: Simplify 0 into 0 6.213 * [backup-simplify]: Simplify 1 into 1 6.213 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 N) 0.5) in N 6.213 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 6.213 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 6.213 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.213 * [taylor]: Taking taylor expansion of N in N 6.213 * [backup-simplify]: Simplify 0 into 0 6.213 * [backup-simplify]: Simplify 1 into 1 6.213 * [taylor]: Taking taylor expansion of 0.5 in N 6.213 * [backup-simplify]: Simplify 0.5 into 0.5 6.213 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) in N 6.213 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.213 * [taylor]: Taking taylor expansion of N in N 6.213 * [backup-simplify]: Simplify 0 into 0 6.213 * [backup-simplify]: Simplify 1 into 1 6.213 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 N) 0.5) in N 6.213 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 6.213 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 6.214 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.214 * [taylor]: Taking taylor expansion of N in N 6.214 * [backup-simplify]: Simplify 0 into 0 6.214 * [backup-simplify]: Simplify 1 into 1 6.214 * [taylor]: Taking taylor expansion of 0.5 in N 6.214 * [backup-simplify]: Simplify 0.5 into 0.5 6.214 * [backup-simplify]: Simplify (* 1 1) into 1 6.215 * [backup-simplify]: Simplify (* 0.3333333333333333 0) into 0 6.215 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 6.216 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 6.217 * [backup-simplify]: Simplify (* 1 (- 0.5)) into -0.5 6.217 * [backup-simplify]: Simplify -0.5 into -0.5 6.219 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 1) (* 0 0)) into 0.3333333333333333 6.219 * [backup-simplify]: Simplify (- 0) into 0 6.220 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 6.220 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.222 * [backup-simplify]: Simplify (+ (* 1 0.3333333333333333) (* 0 (- 0.5))) into 0.3333333333333333 6.222 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.223 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 1) (* 0 0))) into 0 6.223 * [backup-simplify]: Simplify (- 0) into 0 6.224 * [backup-simplify]: Simplify (+ 0 0) into 0 6.225 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.226 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0.3333333333333333) (* 0 (- 0.5)))) into 0 6.226 * [backup-simplify]: Simplify 0 into 0 6.227 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.228 * [backup-simplify]: Simplify (- 0) into 0 6.228 * [backup-simplify]: Simplify (+ 0 0) into 0 6.229 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.231 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 (- 0.5))))) into 0 6.231 * [backup-simplify]: Simplify 0 into 0 6.232 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 6.232 * [backup-simplify]: Simplify (- 0) into 0 6.233 * [backup-simplify]: Simplify (+ 0 0) into 0 6.234 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.236 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 (- 0.5)))))) into 0 6.236 * [backup-simplify]: Simplify 0 into 0 6.237 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 6.238 * [backup-simplify]: Simplify (- 0) into 0 6.238 * [backup-simplify]: Simplify (+ 0 0) into 0 6.239 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.241 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 (- 0.5))))))) into 0 6.241 * [backup-simplify]: Simplify 0 into 0 6.243 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 6.243 * [backup-simplify]: Simplify (- 0) into 0 6.244 * [backup-simplify]: Simplify (+ 0 0) into 0 6.245 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.248 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 (- 0.5)))))))) into 0 6.248 * [backup-simplify]: Simplify 0 into 0 6.250 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 6.250 * [backup-simplify]: Simplify (- 0) into 0 6.250 * [backup-simplify]: Simplify (+ 0 0) into 0 6.252 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 6.254 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 (- 0.5))))))))) into 0 6.254 * [backup-simplify]: Simplify 0 into 0 6.255 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (* -0.5 (pow (/ 1 N) 2))) into (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) 6.257 * [backup-simplify]: Simplify (log (exp (* (/ 1 (pow (/ 1 (- N)) 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) (/ 1 (- N))) (/ 1.0 2.0))))) into (* -1 (* (+ (* 0.3333333333333333 N) 0.5) (pow N 2))) 6.257 * [approximate]: Taking taylor expansion of (* -1 (* (+ (* 0.3333333333333333 N) 0.5) (pow N 2))) in (N) around 0 6.257 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 0.3333333333333333 N) 0.5) (pow N 2))) in N 6.257 * [taylor]: Taking taylor expansion of -1 in N 6.257 * [backup-simplify]: Simplify -1 into -1 6.257 * [taylor]: Taking taylor expansion of (* (+ (* 0.3333333333333333 N) 0.5) (pow N 2)) in N 6.257 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 N) 0.5) in N 6.257 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 6.257 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 6.257 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.257 * [taylor]: Taking taylor expansion of N in N 6.257 * [backup-simplify]: Simplify 0 into 0 6.257 * [backup-simplify]: Simplify 1 into 1 6.257 * [taylor]: Taking taylor expansion of 0.5 in N 6.257 * [backup-simplify]: Simplify 0.5 into 0.5 6.257 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.257 * [taylor]: Taking taylor expansion of N in N 6.257 * [backup-simplify]: Simplify 0 into 0 6.257 * [backup-simplify]: Simplify 1 into 1 6.257 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 0.3333333333333333 N) 0.5) (pow N 2))) in N 6.257 * [taylor]: Taking taylor expansion of -1 in N 6.258 * [backup-simplify]: Simplify -1 into -1 6.258 * [taylor]: Taking taylor expansion of (* (+ (* 0.3333333333333333 N) 0.5) (pow N 2)) in N 6.258 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 N) 0.5) in N 6.258 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 6.258 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 6.258 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.258 * [taylor]: Taking taylor expansion of N in N 6.258 * [backup-simplify]: Simplify 0 into 0 6.258 * [backup-simplify]: Simplify 1 into 1 6.258 * [taylor]: Taking taylor expansion of 0.5 in N 6.258 * [backup-simplify]: Simplify 0.5 into 0.5 6.258 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.258 * [taylor]: Taking taylor expansion of N in N 6.258 * [backup-simplify]: Simplify 0 into 0 6.258 * [backup-simplify]: Simplify 1 into 1 6.259 * [backup-simplify]: Simplify (* 0.3333333333333333 0) into 0 6.259 * [backup-simplify]: Simplify (+ 0 0.5) into 0.5 6.260 * [backup-simplify]: Simplify (* 1 1) into 1 6.260 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 6.261 * [backup-simplify]: Simplify (* -1 0.5) into -0.5 6.261 * [backup-simplify]: Simplify -0.5 into -0.5 6.262 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.263 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 1) (* 0 0)) into 0.3333333333333333 6.264 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 6.265 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0.3333333333333333 1)) into 0.3333333333333333 6.276 * [backup-simplify]: Simplify (+ (* -1 0.3333333333333333) (* 0 0.5)) into (- 0.3333333333333333) 6.277 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 6.278 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.279 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 1) (* 0 0))) into 0 6.279 * [backup-simplify]: Simplify (+ 0 0) into 0 6.280 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0.3333333333333333 0) (* 0 1))) into 0 6.282 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0.3333333333333333) (* 0 0.5))) into 0 6.282 * [backup-simplify]: Simplify 0 into 0 6.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.286 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.286 * [backup-simplify]: Simplify (+ 0 0) into 0 6.288 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1)))) into 0 6.289 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 0.5)))) into 0 6.289 * [backup-simplify]: Simplify 0 into 0 6.291 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.292 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 6.293 * [backup-simplify]: Simplify (+ 0 0) into 0 6.294 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.296 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 0.5))))) into 0 6.296 * [backup-simplify]: Simplify 0 into 0 6.298 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.299 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 6.299 * [backup-simplify]: Simplify (+ 0 0) into 0 6.301 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.303 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 0.5)))))) into 0 6.303 * [backup-simplify]: Simplify 0 into 0 6.304 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.306 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 6.306 * [backup-simplify]: Simplify (+ 0 0) into 0 6.308 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.310 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 0.5))))))) into 0 6.310 * [backup-simplify]: Simplify 0 into 0 6.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 6.314 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 6.314 * [backup-simplify]: Simplify (+ 0 0) into 0 6.316 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 6.318 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 0.5)))))))) into 0 6.318 * [backup-simplify]: Simplify 0 into 0 6.319 * [backup-simplify]: Simplify (+ (* (- 0.3333333333333333) (pow (/ 1 (- N)) 3)) (* -0.5 (pow (/ 1 (- N)) 2))) into (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) 6.319 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 1) 6.320 * [backup-simplify]: Simplify (/ 1 (pow N 2)) into (/ 1 (pow N 2)) 6.320 * [approximate]: Taking taylor expansion of (/ 1 (pow N 2)) in (N) around 0 6.320 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 6.320 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.320 * [taylor]: Taking taylor expansion of N in N 6.320 * [backup-simplify]: Simplify 0 into 0 6.320 * [backup-simplify]: Simplify 1 into 1 6.320 * [backup-simplify]: Simplify (* 1 1) into 1 6.321 * [backup-simplify]: Simplify (/ 1 1) into 1 6.321 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 6.321 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.321 * [taylor]: Taking taylor expansion of N in N 6.321 * [backup-simplify]: Simplify 0 into 0 6.321 * [backup-simplify]: Simplify 1 into 1 6.321 * [backup-simplify]: Simplify (* 1 1) into 1 6.322 * [backup-simplify]: Simplify (/ 1 1) into 1 6.322 * [backup-simplify]: Simplify 1 into 1 6.322 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.323 * [backup-simplify]: Simplify 0 into 0 6.324 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.325 * [backup-simplify]: Simplify 0 into 0 6.326 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.327 * [backup-simplify]: Simplify 0 into 0 6.328 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.329 * [backup-simplify]: Simplify 0 into 0 6.331 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.332 * [backup-simplify]: Simplify 0 into 0 6.333 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 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 (pow (/ 1 N) 2)) into (/ 1 (pow N 2)) 6.335 * [backup-simplify]: Simplify (/ 1 (pow (/ 1 N) 2)) into (pow N 2) 6.335 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 6.335 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.335 * [taylor]: Taking taylor expansion of N in N 6.335 * [backup-simplify]: Simplify 0 into 0 6.335 * [backup-simplify]: Simplify 1 into 1 6.335 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.335 * [taylor]: Taking taylor expansion of N in N 6.335 * [backup-simplify]: Simplify 0 into 0 6.335 * [backup-simplify]: Simplify 1 into 1 6.336 * [backup-simplify]: Simplify (* 1 1) into 1 6.336 * [backup-simplify]: Simplify 1 into 1 6.337 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.337 * [backup-simplify]: Simplify 0 into 0 6.338 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.338 * [backup-simplify]: Simplify 0 into 0 6.339 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.339 * [backup-simplify]: Simplify 0 into 0 6.340 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.340 * [backup-simplify]: Simplify 0 into 0 6.342 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.342 * [backup-simplify]: Simplify 0 into 0 6.343 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.343 * [backup-simplify]: Simplify 0 into 0 6.344 * [backup-simplify]: Simplify (* 1 (pow (/ 1 N) 2)) into (/ 1 (pow N 2)) 6.344 * [backup-simplify]: Simplify (/ 1 (pow (/ 1 (- N)) 2)) into (pow N 2) 6.344 * [approximate]: Taking taylor expansion of (pow N 2) in (N) around 0 6.344 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.344 * [taylor]: Taking taylor expansion of N in N 6.344 * [backup-simplify]: Simplify 0 into 0 6.344 * [backup-simplify]: Simplify 1 into 1 6.344 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.344 * [taylor]: Taking taylor expansion of N in N 6.344 * [backup-simplify]: Simplify 0 into 0 6.344 * [backup-simplify]: Simplify 1 into 1 6.345 * [backup-simplify]: Simplify (* 1 1) into 1 6.345 * [backup-simplify]: Simplify 1 into 1 6.346 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.346 * [backup-simplify]: Simplify 0 into 0 6.346 * [backup-simplify]: Simplify (+ (* 1 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 1)))) into 0 6.348 * [backup-simplify]: Simplify 0 into 0 6.349 * [backup-simplify]: Simplify (+ (* 1 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 6.350 * [backup-simplify]: Simplify 0 into 0 6.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.352 * [backup-simplify]: Simplify 0 into 0 6.352 * [backup-simplify]: Simplify (* 1 (pow (/ 1 (- N)) 2)) into (/ 1 (pow N 2)) 6.352 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 6.353 * [backup-simplify]: Simplify (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) into (/ (- (* 0.3333333333333333 (/ 1 N)) 0.5) (pow N 2)) 6.354 * [approximate]: Taking taylor expansion of (/ (- (* 0.3333333333333333 (/ 1 N)) 0.5) (pow N 2)) in (N) around 0 6.354 * [taylor]: Taking taylor expansion of (/ (- (* 0.3333333333333333 (/ 1 N)) 0.5) (pow N 2)) in N 6.354 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 N)) 0.5) in N 6.354 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 N)) in N 6.354 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 6.354 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.354 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.354 * [taylor]: Taking taylor expansion of N in N 6.354 * [backup-simplify]: Simplify 0 into 0 6.354 * [backup-simplify]: Simplify 1 into 1 6.354 * [backup-simplify]: Simplify (/ 1 1) into 1 6.354 * [taylor]: Taking taylor expansion of 0.5 in N 6.354 * [backup-simplify]: Simplify 0.5 into 0.5 6.354 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.354 * [taylor]: Taking taylor expansion of N in N 6.354 * [backup-simplify]: Simplify 0 into 0 6.354 * [backup-simplify]: Simplify 1 into 1 6.355 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 6.355 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 6.356 * [backup-simplify]: Simplify (* 1 1) into 1 6.356 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 6.356 * [taylor]: Taking taylor expansion of (/ (- (* 0.3333333333333333 (/ 1 N)) 0.5) (pow N 2)) in N 6.356 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 (/ 1 N)) 0.5) in N 6.356 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 N)) in N 6.356 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 6.356 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.356 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.357 * [taylor]: Taking taylor expansion of N in N 6.357 * [backup-simplify]: Simplify 0 into 0 6.357 * [backup-simplify]: Simplify 1 into 1 6.357 * [backup-simplify]: Simplify (/ 1 1) into 1 6.357 * [taylor]: Taking taylor expansion of 0.5 in N 6.357 * [backup-simplify]: Simplify 0.5 into 0.5 6.357 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.357 * [taylor]: Taking taylor expansion of N in N 6.357 * [backup-simplify]: Simplify 0 into 0 6.357 * [backup-simplify]: Simplify 1 into 1 6.358 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 6.358 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 6.358 * [backup-simplify]: Simplify (* 1 1) into 1 6.359 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 6.359 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.361 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 6.361 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 6.362 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 6.363 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.365 * [backup-simplify]: Simplify (- (/ (- 0.5) 1) (+ (* 0.3333333333333333 (/ 0 1)))) into (- 0.5) 6.366 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 6.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.368 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 6.368 * [backup-simplify]: Simplify (- 0) into 0 6.369 * [backup-simplify]: Simplify (+ 0 0) into 0 6.370 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.371 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* (- 0.5) (/ 0 1)))) into 0 6.371 * [backup-simplify]: Simplify 0 into 0 6.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.373 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.374 * [backup-simplify]: Simplify (- 0) into 0 6.374 * [backup-simplify]: Simplify (+ 0 0) into 0 6.376 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.378 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* (- 0.5) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.378 * [backup-simplify]: Simplify 0 into 0 6.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.381 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.381 * [backup-simplify]: Simplify (- 0) into 0 6.382 * [backup-simplify]: Simplify (+ 0 0) into 0 6.383 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.384 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* (- 0.5) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.385 * [backup-simplify]: Simplify 0 into 0 6.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.387 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.387 * [backup-simplify]: Simplify (- 0) into 0 6.388 * [backup-simplify]: Simplify (+ 0 0) into 0 6.389 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.391 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* (- 0.5) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.391 * [backup-simplify]: Simplify 0 into 0 6.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.394 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.394 * [backup-simplify]: Simplify (- 0) into 0 6.394 * [backup-simplify]: Simplify (+ 0 0) into 0 6.396 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.398 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* (- 0.5) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.398 * [backup-simplify]: Simplify 0 into 0 6.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.400 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 6.400 * [backup-simplify]: Simplify (- 0) into 0 6.400 * [backup-simplify]: Simplify (+ 0 0) into 0 6.401 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 6.402 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* (- 0.5) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.402 * [backup-simplify]: Simplify 0 into 0 6.403 * [backup-simplify]: Simplify (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 0.3333333333333333 (pow (/ 1 N) 3))) into (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) 6.403 * [backup-simplify]: Simplify (* (/ 1 (pow (/ 1 N) 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) (/ 1 N)) (/ 1.0 2.0))) into (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) 6.404 * [approximate]: Taking taylor expansion of (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) in (N) around 0 6.404 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) in N 6.404 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.404 * [taylor]: Taking taylor expansion of N in N 6.404 * [backup-simplify]: Simplify 0 into 0 6.404 * [backup-simplify]: Simplify 1 into 1 6.404 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 N) 0.5) in N 6.404 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 6.404 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 6.404 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.404 * [taylor]: Taking taylor expansion of N in N 6.404 * [backup-simplify]: Simplify 0 into 0 6.404 * [backup-simplify]: Simplify 1 into 1 6.404 * [taylor]: Taking taylor expansion of 0.5 in N 6.404 * [backup-simplify]: Simplify 0.5 into 0.5 6.404 * [taylor]: Taking taylor expansion of (* (pow N 2) (- (* 0.3333333333333333 N) 0.5)) in N 6.404 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.404 * [taylor]: Taking taylor expansion of N in N 6.404 * [backup-simplify]: Simplify 0 into 0 6.404 * [backup-simplify]: Simplify 1 into 1 6.404 * [taylor]: Taking taylor expansion of (- (* 0.3333333333333333 N) 0.5) in N 6.404 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 6.404 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 6.404 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.404 * [taylor]: Taking taylor expansion of N in N 6.404 * [backup-simplify]: Simplify 0 into 0 6.404 * [backup-simplify]: Simplify 1 into 1 6.404 * [taylor]: Taking taylor expansion of 0.5 in N 6.404 * [backup-simplify]: Simplify 0.5 into 0.5 6.404 * [backup-simplify]: Simplify (* 1 1) into 1 6.405 * [backup-simplify]: Simplify (* 0.3333333333333333 0) into 0 6.405 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 6.405 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 6.406 * [backup-simplify]: Simplify (* 1 (- 0.5)) into -0.5 6.406 * [backup-simplify]: Simplify -0.5 into -0.5 6.407 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 1) (* 0 0)) into 0.3333333333333333 6.407 * [backup-simplify]: Simplify (- 0) into 0 6.407 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 6.408 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.409 * [backup-simplify]: Simplify (+ (* 1 0.3333333333333333) (* 0 (- 0.5))) into 0.3333333333333333 6.409 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.409 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 1) (* 0 0))) into 0 6.409 * [backup-simplify]: Simplify (- 0) into 0 6.410 * [backup-simplify]: Simplify (+ 0 0) into 0 6.410 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.411 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0.3333333333333333) (* 0 (- 0.5)))) into 0 6.411 * [backup-simplify]: Simplify 0 into 0 6.412 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.412 * [backup-simplify]: Simplify (- 0) into 0 6.412 * [backup-simplify]: Simplify (+ 0 0) into 0 6.413 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.415 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 (- 0.5))))) into 0 6.415 * [backup-simplify]: Simplify 0 into 0 6.416 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 6.417 * [backup-simplify]: Simplify (- 0) into 0 6.417 * [backup-simplify]: Simplify (+ 0 0) into 0 6.418 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.420 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 (- 0.5)))))) into 0 6.420 * [backup-simplify]: Simplify 0 into 0 6.428 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 6.429 * [backup-simplify]: Simplify (- 0) into 0 6.430 * [backup-simplify]: Simplify (+ 0 0) into 0 6.431 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.433 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 (- 0.5))))))) into 0 6.433 * [backup-simplify]: Simplify 0 into 0 6.435 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 6.436 * [backup-simplify]: Simplify (- 0) into 0 6.436 * [backup-simplify]: Simplify (+ 0 0) into 0 6.438 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.440 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 (- 0.5)))))))) into 0 6.440 * [backup-simplify]: Simplify 0 into 0 6.442 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 6.443 * [backup-simplify]: Simplify (- 0) into 0 6.443 * [backup-simplify]: Simplify (+ 0 0) into 0 6.444 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 6.446 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 (- 0.5))))))))) into 0 6.447 * [backup-simplify]: Simplify 0 into 0 6.447 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (* -0.5 (pow (/ 1 N) 2))) into (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) 6.448 * [backup-simplify]: Simplify (* (/ 1 (pow (/ 1 (- N)) 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) (/ 1 (- N))) (/ 1.0 2.0))) into (* -1 (* (+ (* 0.3333333333333333 N) 0.5) (pow N 2))) 6.448 * [approximate]: Taking taylor expansion of (* -1 (* (+ (* 0.3333333333333333 N) 0.5) (pow N 2))) in (N) around 0 6.448 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 0.3333333333333333 N) 0.5) (pow N 2))) in N 6.448 * [taylor]: Taking taylor expansion of -1 in N 6.448 * [backup-simplify]: Simplify -1 into -1 6.448 * [taylor]: Taking taylor expansion of (* (+ (* 0.3333333333333333 N) 0.5) (pow N 2)) in N 6.448 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 N) 0.5) in N 6.448 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 6.448 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 6.448 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.448 * [taylor]: Taking taylor expansion of N in N 6.449 * [backup-simplify]: Simplify 0 into 0 6.449 * [backup-simplify]: Simplify 1 into 1 6.449 * [taylor]: Taking taylor expansion of 0.5 in N 6.449 * [backup-simplify]: Simplify 0.5 into 0.5 6.449 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.449 * [taylor]: Taking taylor expansion of N in N 6.449 * [backup-simplify]: Simplify 0 into 0 6.449 * [backup-simplify]: Simplify 1 into 1 6.449 * [taylor]: Taking taylor expansion of (* -1 (* (+ (* 0.3333333333333333 N) 0.5) (pow N 2))) in N 6.449 * [taylor]: Taking taylor expansion of -1 in N 6.449 * [backup-simplify]: Simplify -1 into -1 6.449 * [taylor]: Taking taylor expansion of (* (+ (* 0.3333333333333333 N) 0.5) (pow N 2)) in N 6.449 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 N) 0.5) in N 6.449 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 N) in N 6.449 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 6.449 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.449 * [taylor]: Taking taylor expansion of N in N 6.449 * [backup-simplify]: Simplify 0 into 0 6.449 * [backup-simplify]: Simplify 1 into 1 6.449 * [taylor]: Taking taylor expansion of 0.5 in N 6.449 * [backup-simplify]: Simplify 0.5 into 0.5 6.449 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.449 * [taylor]: Taking taylor expansion of N in N 6.449 * [backup-simplify]: Simplify 0 into 0 6.449 * [backup-simplify]: Simplify 1 into 1 6.450 * [backup-simplify]: Simplify (* 0.3333333333333333 0) into 0 6.450 * [backup-simplify]: Simplify (+ 0 0.5) into 0.5 6.450 * [backup-simplify]: Simplify (* 1 1) into 1 6.451 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 6.451 * [backup-simplify]: Simplify (* -1 0.5) into -0.5 6.451 * [backup-simplify]: Simplify -0.5 into -0.5 6.452 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.453 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 1) (* 0 0)) into 0.3333333333333333 6.453 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 6.455 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0.3333333333333333 1)) into 0.3333333333333333 6.456 * [backup-simplify]: Simplify (+ (* -1 0.3333333333333333) (* 0 0.5)) into (- 0.3333333333333333) 6.456 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 6.457 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.459 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 1) (* 0 0))) into 0 6.459 * [backup-simplify]: Simplify (+ 0 0) into 0 6.460 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0.3333333333333333 0) (* 0 1))) into 0 6.461 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0.3333333333333333) (* 0 0.5))) into 0 6.461 * [backup-simplify]: Simplify 0 into 0 6.462 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.464 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.464 * [backup-simplify]: Simplify (+ 0 0) into 0 6.465 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1)))) into 0 6.467 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 0.5)))) into 0 6.468 * [backup-simplify]: Simplify 0 into 0 6.468 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.469 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 6.469 * [backup-simplify]: Simplify (+ 0 0) into 0 6.470 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.471 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 0.5))))) into 0 6.471 * [backup-simplify]: Simplify 0 into 0 6.472 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.473 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 6.473 * [backup-simplify]: Simplify (+ 0 0) into 0 6.474 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.475 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 0.5)))))) into 0 6.475 * [backup-simplify]: Simplify 0 into 0 6.476 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.477 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 6.477 * [backup-simplify]: Simplify (+ 0 0) into 0 6.478 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.480 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 0.5))))))) into 0 6.480 * [backup-simplify]: Simplify 0 into 0 6.480 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 6.481 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 6.482 * [backup-simplify]: Simplify (+ 0 0) into 0 6.483 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 6.484 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.3333333333333333) (* 0 0.5)))))))) into 0 6.484 * [backup-simplify]: Simplify 0 into 0 6.485 * [backup-simplify]: Simplify (+ (* (- 0.3333333333333333) (pow (/ 1 (- N)) 3)) (* -0.5 (pow (/ 1 (- N)) 2))) into (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) 6.485 * * * * [progress]: [ 4 / 4 ] generating series at (2) 6.486 * [backup-simplify]: Simplify (+ (log (exp (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))))) (* 1.0 (/ 1 N))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 6.486 * [approximate]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in (N) around 0 6.486 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in N 6.486 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) in N 6.486 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 6.486 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 6.486 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.486 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 6.486 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.486 * [taylor]: Taking taylor expansion of N in N 6.486 * [backup-simplify]: Simplify 0 into 0 6.486 * [backup-simplify]: Simplify 1 into 1 6.486 * [backup-simplify]: Simplify (* 1 1) into 1 6.486 * [backup-simplify]: Simplify (* 1 1) into 1 6.486 * [backup-simplify]: Simplify (/ 1 1) into 1 6.486 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 6.487 * [taylor]: Taking taylor expansion of 1.0 in N 6.487 * [backup-simplify]: Simplify 1.0 into 1.0 6.487 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.487 * [taylor]: Taking taylor expansion of N in N 6.487 * [backup-simplify]: Simplify 0 into 0 6.487 * [backup-simplify]: Simplify 1 into 1 6.487 * [backup-simplify]: Simplify (/ 1 1) into 1 6.487 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 6.487 * [taylor]: Taking taylor expansion of 0.5 in N 6.487 * [backup-simplify]: Simplify 0.5 into 0.5 6.487 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 6.487 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.487 * [taylor]: Taking taylor expansion of N in N 6.487 * [backup-simplify]: Simplify 0 into 0 6.487 * [backup-simplify]: Simplify 1 into 1 6.487 * [backup-simplify]: Simplify (* 1 1) into 1 6.487 * [backup-simplify]: Simplify (/ 1 1) into 1 6.487 * [taylor]: Taking taylor expansion of (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) in N 6.488 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) in N 6.488 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 6.488 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 6.488 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.488 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 6.488 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.488 * [taylor]: Taking taylor expansion of N in N 6.488 * [backup-simplify]: Simplify 0 into 0 6.488 * [backup-simplify]: Simplify 1 into 1 6.488 * [backup-simplify]: Simplify (* 1 1) into 1 6.488 * [backup-simplify]: Simplify (* 1 1) into 1 6.488 * [backup-simplify]: Simplify (/ 1 1) into 1 6.488 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 6.488 * [taylor]: Taking taylor expansion of 1.0 in N 6.488 * [backup-simplify]: Simplify 1.0 into 1.0 6.488 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.488 * [taylor]: Taking taylor expansion of N in N 6.488 * [backup-simplify]: Simplify 0 into 0 6.489 * [backup-simplify]: Simplify 1 into 1 6.489 * [backup-simplify]: Simplify (/ 1 1) into 1 6.489 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 6.489 * [taylor]: Taking taylor expansion of 0.5 in N 6.489 * [backup-simplify]: Simplify 0.5 into 0.5 6.489 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 6.489 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.489 * [taylor]: Taking taylor expansion of N in N 6.489 * [backup-simplify]: Simplify 0 into 0 6.489 * [backup-simplify]: Simplify 1 into 1 6.489 * [backup-simplify]: Simplify (* 1 1) into 1 6.489 * [backup-simplify]: Simplify (/ 1 1) into 1 6.490 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 6.490 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 6.490 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 6.490 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.491 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.491 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.492 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 6.492 * [backup-simplify]: Simplify (+ 0 0) into 0 6.492 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 6.493 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 6.493 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 6.494 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 6.494 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.495 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.496 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 6.496 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 6.496 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.497 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.498 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 6.498 * [backup-simplify]: Simplify (- 0) into 0 6.498 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.498 * [backup-simplify]: Simplify 1.0 into 1.0 6.499 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 0.3333333333333333 (pow (/ 1 N) 3)))) into (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) 6.500 * [backup-simplify]: Simplify (+ (log (exp (* (/ 1 (pow (/ 1 N) 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) (/ 1 N)) (/ 1.0 2.0))))) (* 1.0 (/ 1 (/ 1 N)))) into (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) 6.500 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in (N) around 0 6.500 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 6.500 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 6.500 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 6.500 * [taylor]: Taking taylor expansion of 1.0 in N 6.500 * [backup-simplify]: Simplify 1.0 into 1.0 6.500 * [taylor]: Taking taylor expansion of N in N 6.500 * [backup-simplify]: Simplify 0 into 0 6.500 * [backup-simplify]: Simplify 1 into 1 6.500 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 6.500 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 6.500 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.500 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.500 * [taylor]: Taking taylor expansion of N in N 6.500 * [backup-simplify]: Simplify 0 into 0 6.500 * [backup-simplify]: Simplify 1 into 1 6.500 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 6.500 * [taylor]: Taking taylor expansion of 0.5 in N 6.500 * [backup-simplify]: Simplify 0.5 into 0.5 6.500 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.500 * [taylor]: Taking taylor expansion of N in N 6.500 * [backup-simplify]: Simplify 0 into 0 6.500 * [backup-simplify]: Simplify 1 into 1 6.500 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 6.500 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 6.500 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 6.500 * [taylor]: Taking taylor expansion of 1.0 in N 6.500 * [backup-simplify]: Simplify 1.0 into 1.0 6.500 * [taylor]: Taking taylor expansion of N in N 6.500 * [backup-simplify]: Simplify 0 into 0 6.500 * [backup-simplify]: Simplify 1 into 1 6.500 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 6.500 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 6.500 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.500 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.500 * [taylor]: Taking taylor expansion of N in N 6.500 * [backup-simplify]: Simplify 0 into 0 6.500 * [backup-simplify]: Simplify 1 into 1 6.500 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 6.500 * [taylor]: Taking taylor expansion of 0.5 in N 6.500 * [backup-simplify]: Simplify 0.5 into 0.5 6.500 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.500 * [taylor]: Taking taylor expansion of N in N 6.500 * [backup-simplify]: Simplify 0 into 0 6.500 * [backup-simplify]: Simplify 1 into 1 6.501 * [backup-simplify]: Simplify (* 1.0 0) into 0 6.501 * [backup-simplify]: Simplify (+ 0 0) into 0 6.501 * [backup-simplify]: Simplify (+ 0 0) into 0 6.501 * [backup-simplify]: Simplify 0 into 0 6.502 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 6.502 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.503 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.503 * [backup-simplify]: Simplify 1.0 into 1.0 6.503 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 6.503 * [backup-simplify]: Simplify (+ 0 0) into 0 6.504 * [backup-simplify]: Simplify (* 1 1) into 1 6.504 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 6.504 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 6.505 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 6.505 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 6.506 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.506 * [backup-simplify]: Simplify (* 1 1) into 1 6.506 * [backup-simplify]: Simplify (* 1 1) into 1 6.506 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 6.507 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 6.507 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.507 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 6.508 * [backup-simplify]: Simplify (- 0) into 0 6.508 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 6.508 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.509 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 1.0 (/ 1 N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 6.510 * [backup-simplify]: Simplify (+ (log (exp (* (/ 1 (pow (/ 1 (- N)) 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) (/ 1 (- N))) (/ 1.0 2.0))))) (* 1.0 (/ 1 (/ 1 (- N))))) into (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) 6.511 * [approximate]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in (N) around 0 6.511 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 6.511 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 6.511 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 6.511 * [taylor]: Taking taylor expansion of 0.5 in N 6.511 * [backup-simplify]: Simplify 0.5 into 0.5 6.511 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.511 * [taylor]: Taking taylor expansion of N in N 6.511 * [backup-simplify]: Simplify 0 into 0 6.511 * [backup-simplify]: Simplify 1 into 1 6.511 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 6.511 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 6.511 * [taylor]: Taking taylor expansion of 1.0 in N 6.511 * [backup-simplify]: Simplify 1.0 into 1.0 6.511 * [taylor]: Taking taylor expansion of N in N 6.511 * [backup-simplify]: Simplify 0 into 0 6.511 * [backup-simplify]: Simplify 1 into 1 6.511 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 6.511 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 6.511 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.511 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.511 * [taylor]: Taking taylor expansion of N in N 6.511 * [backup-simplify]: Simplify 0 into 0 6.511 * [backup-simplify]: Simplify 1 into 1 6.511 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 6.511 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 6.511 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 6.511 * [taylor]: Taking taylor expansion of 0.5 in N 6.511 * [backup-simplify]: Simplify 0.5 into 0.5 6.511 * [taylor]: Taking taylor expansion of (pow N 2) in N 6.511 * [taylor]: Taking taylor expansion of N in N 6.511 * [backup-simplify]: Simplify 0 into 0 6.511 * [backup-simplify]: Simplify 1 into 1 6.511 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 6.511 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 6.511 * [taylor]: Taking taylor expansion of 1.0 in N 6.511 * [backup-simplify]: Simplify 1.0 into 1.0 6.511 * [taylor]: Taking taylor expansion of N in N 6.511 * [backup-simplify]: Simplify 0 into 0 6.511 * [backup-simplify]: Simplify 1 into 1 6.512 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 6.512 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 6.512 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.512 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.512 * [taylor]: Taking taylor expansion of N in N 6.512 * [backup-simplify]: Simplify 0 into 0 6.512 * [backup-simplify]: Simplify 1 into 1 6.512 * [backup-simplify]: Simplify (* 1.0 0) into 0 6.512 * [backup-simplify]: Simplify (+ 0 0) into 0 6.513 * [backup-simplify]: Simplify (+ 0 0) into 0 6.513 * [backup-simplify]: Simplify (- 0) into 0 6.513 * [backup-simplify]: Simplify 0 into 0 6.514 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 6.515 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.515 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.515 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 6.516 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 6.516 * [backup-simplify]: Simplify (* 1 1) into 1 6.517 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 6.517 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 6.518 * [backup-simplify]: Simplify (+ 0 0) into 0 6.518 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 6.518 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 6.519 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 6.519 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.520 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 6.521 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.521 * [backup-simplify]: Simplify (* 1 1) into 1 6.522 * [backup-simplify]: Simplify (* 1 1) into 1 6.522 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 6.523 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 6.523 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 6.523 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 6.524 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 6.525 * [backup-simplify]: Simplify (+ (* (- 0.3333333333333333) (pow (/ 1 (- N)) 3)) (+ (* (- 0.5) (pow (/ 1 (- N)) 2)) (* (- 1.0) (/ 1 (- N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 6.525 * * * [progress]: simplifying candidates 6.534 * [simplify]: Simplifying: (log (exp (* (/ 1 (pow N 2)) (/ (/ 6004799503160661.0 18014398509481984.0) N)))) (log (exp (* (/ 1 (pow N 2)) (- (/ 1.0 2.0))))) (log (exp (* (/ 1 (pow N 2)) (/ (/ 6004799503160661.0 18014398509481984.0) N)))) (log (exp (* (/ 1 (pow N 2)) (- (/ 1.0 2.0))))) (log (exp (* (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1 (pow N 2))))) (log (exp (* (- (/ 1.0 2.0)) (/ 1 (pow N 2))))) (log (exp (* (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1 (pow N 2))))) (log (exp (* (- (/ 1.0 2.0)) (/ 1 (pow N 2))))) (log (* (cbrt (exp (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))))) (cbrt (exp (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))))))) (log (cbrt (exp (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))))) (log (sqrt (exp (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))))) (log (sqrt (exp (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))))) (log 1) (log (exp (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))))) (log (exp (/ 1 (pow N 2)))) (log (exp (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))))) (log (exp (/ 1 (pow N 2)))) (log (log (exp (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))))) (exp (log (exp (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))))) (* (cbrt (log (exp (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))))) (cbrt (log (exp (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))))))) (cbrt (log (exp (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))))) (* (* (log (exp (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))))) (log (exp (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))))) (log (exp (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))))) (sqrt (log (exp (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))))) (sqrt (log (exp (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))))) (- 2) (- (* (log N) 2)) (- (* (log N) 2)) (- (log (pow N 2))) (- 0 (* (log N) 2)) (- 0 (* (log N) 2)) (- 0 (log (pow N 2))) (- (log 1) (* (log N) 2)) (- (log 1) (* (log N) 2)) (- (log 1) (log (pow N 2))) (log (/ 1 (pow N 2))) (exp (/ 1 (pow N 2))) (/ (* (* 1 1) 1) (* (* (pow N 2) (pow N 2)) (pow N 2))) (* (cbrt (/ 1 (pow N 2))) (cbrt (/ 1 (pow N 2)))) (cbrt (/ 1 (pow N 2))) (* (* (/ 1 (pow N 2)) (/ 1 (pow N 2))) (/ 1 (pow N 2))) (sqrt (/ 1 (pow N 2))) (sqrt (/ 1 (pow N 2))) (- 1) (- (pow N 2)) (/ (* (cbrt 1) (cbrt 1)) (pow (* (cbrt N) (cbrt N)) 2)) (/ (cbrt 1) (pow (cbrt N) 2)) (/ (* (cbrt 1) (cbrt 1)) (pow (sqrt N) 2)) (/ (cbrt 1) (pow (sqrt N) 2)) (/ (* (cbrt 1) (cbrt 1)) (pow 1 2)) (/ (cbrt 1) (pow N 2)) (/ (* (cbrt 1) (cbrt 1)) N) (/ (cbrt 1) N) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ (cbrt 1) (cbrt (pow N 2))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow N 2))) (/ (cbrt 1) (sqrt (pow N 2))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (pow N 2)) (/ (* (cbrt 1) (cbrt 1)) (pow N (/ 2 2))) (/ (cbrt 1) (pow N (/ 2 2))) (/ (sqrt 1) (pow (* (cbrt N) (cbrt N)) 2)) (/ (sqrt 1) (pow (cbrt N) 2)) (/ (sqrt 1) (pow (sqrt N) 2)) (/ (sqrt 1) (pow (sqrt N) 2)) (/ (sqrt 1) (pow 1 2)) (/ (sqrt 1) (pow N 2)) (/ (sqrt 1) N) (/ (sqrt 1) N) (/ (sqrt 1) (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ (sqrt 1) (cbrt (pow N 2))) (/ (sqrt 1) (sqrt (pow N 2))) (/ (sqrt 1) (sqrt (pow N 2))) (/ (sqrt 1) 1) (/ (sqrt 1) (pow N 2)) (/ (sqrt 1) (pow N (/ 2 2))) (/ (sqrt 1) (pow N (/ 2 2))) (/ 1 (pow (* (cbrt N) (cbrt N)) 2)) (/ 1 (pow (cbrt N) 2)) (/ 1 (pow (sqrt N) 2)) (/ 1 (pow (sqrt N) 2)) (/ 1 (pow 1 2)) (/ 1 (pow N 2)) (/ 1 N) (/ 1 N) (/ 1 (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ 1 (cbrt (pow N 2))) (/ 1 (sqrt (pow N 2))) (/ 1 (sqrt (pow N 2))) (/ 1 1) (/ 1 (pow N 2)) (/ 1 (pow N (/ 2 2))) (/ 1 (pow N (/ 2 2))) (/ 1 (pow N 2)) (/ (pow N 2) 1) (/ 1 (pow (* (cbrt N) (cbrt N)) 2)) (/ 1 (pow (sqrt N) 2)) (/ 1 (pow 1 2)) (/ 1 N) (/ 1 (* (cbrt (pow N 2)) (cbrt (pow N 2)))) (/ 1 (sqrt (pow N 2))) (/ 1 1) (/ 1 (pow N (/ 2 2))) (/ (pow N 2) (cbrt 1)) (/ (pow N 2) (sqrt 1)) (/ (pow N 2) 1) (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) (+ (- (* (log N) 2)) (log (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))) (+ (- (* (log N) 2)) (log (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))) (+ (- (log (pow N 2))) (log (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))) (+ (- 0 (* (log N) 2)) (log (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))) (+ (- 0 (* (log N) 2)) (log (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))) (+ (- 0 (log (pow N 2))) (log (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))) (+ (- (log 1) (* (log N) 2)) (log (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))) (+ (- (log 1) (* (log N) 2)) (log (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))) (+ (- (log 1) (log (pow N 2))) (log (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))) (+ (log (/ 1 (pow N 2))) (log (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))) (log (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))) (exp (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))) (* (/ (* (* 1 1) 1) (* (* (pow N 2) (pow N 2)) (pow N 2))) (* (* (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))) (* (* (* (/ 1 (pow N 2)) (/ 1 (pow N 2))) (/ 1 (pow N 2))) (* (* (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))) (* (cbrt (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))) (cbrt (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))))) (cbrt (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))) (* (* (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))) (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))) (sqrt (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))) (sqrt (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))) (* 1 (- (* (/ 6004799503160661.0 18014398509481984.0) 2.0) (* N 1.0))) (* (pow N 2) (* N 2.0)) (* 1 (- (pow (/ (/ 6004799503160661.0 18014398509481984.0) N) 3) (pow (/ 1.0 2.0) 3))) (* (pow N 2) (+ (* (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ (/ 6004799503160661.0 18014398509481984.0) N)) (+ (* (/ 1.0 2.0) (/ 1.0 2.0)) (* (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))))) (* 1 (- (* (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ (/ 6004799503160661.0 18014398509481984.0) N)) (* (/ 1.0 2.0) (/ 1.0 2.0)))) (* (pow N 2) (+ (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) (* (sqrt (/ 1 (pow N 2))) (sqrt (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))) (* (sqrt (/ 1 (pow N 2))) (sqrt (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))) (* (/ (sqrt 1) (pow (sqrt N) 2)) (sqrt (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))) (* (/ (sqrt 1) (pow (sqrt N) 2)) (sqrt (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))) (* (/ (sqrt 1) N) (sqrt (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))) (* (/ (sqrt 1) N) (sqrt (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))) (* (/ (sqrt 1) (sqrt (pow N 2))) (sqrt (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))) (* (/ (sqrt 1) (sqrt (pow N 2))) (sqrt (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))) (* (/ (sqrt 1) (pow N (/ 2 2))) (sqrt (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))) (* (/ (sqrt 1) (pow N (/ 2 2))) (sqrt (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))) (* (/ 1 (pow (sqrt N) 2)) (sqrt (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))) (* (/ 1 (pow (sqrt N) 2)) (sqrt (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))) (* (/ 1 N) (sqrt (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))) (* (/ 1 N) (sqrt (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))) (* (/ 1 (sqrt (pow N 2))) (sqrt (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))) (* (/ 1 (sqrt (pow N 2))) (sqrt (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))) (* (/ 1 (pow N (/ 2 2))) (sqrt (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))) (* (/ 1 (pow N (/ 2 2))) (sqrt (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))) (* (/ 1 (pow N 2)) (/ (/ 6004799503160661.0 18014398509481984.0) N)) (* (/ 1 (pow N 2)) (- (/ 1.0 2.0))) (* (/ 1 (pow N 2)) (/ (/ 6004799503160661.0 18014398509481984.0) N)) (* (/ 1 (pow N 2)) (- (/ 1.0 2.0))) (* (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1 (pow N 2))) (* (- (/ 1.0 2.0)) (/ 1 (pow N 2))) (* (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1 (pow N 2))) (* (- (/ 1.0 2.0)) (/ 1 (pow N 2))) (* (/ 1 (pow N 2)) (* (cbrt (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) (cbrt (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))))) (* (/ 1 (pow N 2)) (sqrt (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))) (* (/ 1 (pow N 2)) 1) (* (/ 1 (pow N 2)) (+ (sqrt (/ (/ 6004799503160661.0 18014398509481984.0) N)) (sqrt (/ 1.0 2.0)))) (* (/ 1 (pow N 2)) (+ (sqrt (/ (/ 6004799503160661.0 18014398509481984.0) N)) (/ (sqrt 1.0) (sqrt 2.0)))) (* (/ 1 (pow N 2)) (+ (/ (sqrt (/ 6004799503160661.0 18014398509481984.0)) (sqrt N)) (sqrt (/ 1.0 2.0)))) (* (/ 1 (pow N 2)) (+ (/ (sqrt (/ 6004799503160661.0 18014398509481984.0)) (sqrt N)) (/ (sqrt 1.0) (sqrt 2.0)))) (* (/ 1 (pow N 2)) (+ (/ (/ (sqrt 6004799503160661.0) (sqrt 18014398509481984.0)) (sqrt N)) (sqrt (/ 1.0 2.0)))) (* (/ 1 (pow N 2)) (+ (/ (/ (sqrt 6004799503160661.0) (sqrt 18014398509481984.0)) (sqrt N)) (/ (sqrt 1.0) (sqrt 2.0)))) (* (/ 1 (pow N 2)) (/ 1 1)) (* (/ 1 (pow N 2)) 1) (* (cbrt (/ 1 (pow N 2))) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) (* (sqrt (/ 1 (pow N 2))) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) (* (/ (cbrt 1) (pow (cbrt N) 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) (* (/ (cbrt 1) (pow (sqrt N) 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) (* (/ (cbrt 1) (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) (* (/ (cbrt 1) N) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) (* (/ (cbrt 1) (cbrt (pow N 2))) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) (* (/ (cbrt 1) (sqrt (pow N 2))) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) (* (/ (cbrt 1) (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) (* (/ (cbrt 1) (pow N (/ 2 2))) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) (* (/ (sqrt 1) (pow (cbrt N) 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) (* (/ (sqrt 1) (pow (sqrt N) 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) (* (/ (sqrt 1) (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) (* (/ (sqrt 1) N) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) (* (/ (sqrt 1) (cbrt (pow N 2))) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) (* (/ (sqrt 1) (sqrt (pow N 2))) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) (* (/ (sqrt 1) (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) (* (/ (sqrt 1) (pow N (/ 2 2))) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) (* (/ 1 (pow (cbrt N) 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) (* (/ 1 (pow (sqrt N) 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) (* (/ 1 N) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) (* (/ 1 (cbrt (pow N 2))) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) (* (/ 1 (sqrt (pow N 2))) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) (* (/ 1 (pow N (/ 2 2))) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) (* (/ 1 (pow N 2)) (- (* (/ 6004799503160661.0 18014398509481984.0) 2.0) (* N 1.0))) (* (/ 1 (pow N 2)) (- (pow (/ (/ 6004799503160661.0 18014398509481984.0) N) 3) (pow (/ 1.0 2.0) 3))) (* (/ 1 (pow N 2)) (- (* (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ (/ 6004799503160661.0 18014398509481984.0) N)) (* (/ 1.0 2.0) (/ 1.0 2.0)))) (* 1 (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) (* (exp (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))) (exp (* 1.0 (/ 1 N)))) (log (+ (log (exp (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))))) (* 1.0 (/ 1 N)))) (exp (+ (log (exp (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))))) (* 1.0 (/ 1 N)))) (* (cbrt (+ (log (exp (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))))) (* 1.0 (/ 1 N)))) (cbrt (+ (log (exp (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))))) (* 1.0 (/ 1 N))))) (cbrt (+ (log (exp (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))))) (* 1.0 (/ 1 N)))) (* (* (+ (log (exp (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))))) (* 1.0 (/ 1 N))) (+ (log (exp (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))))) (* 1.0 (/ 1 N)))) (+ (log (exp (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))))) (* 1.0 (/ 1 N)))) (sqrt (+ (log (exp (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))))) (* 1.0 (/ 1 N)))) (sqrt (+ (log (exp (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))))) (* 1.0 (/ 1 N)))) (+ (pow (log (exp (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))))) 3) (pow (* 1.0 (/ 1 N)) 3)) (+ (* (log (exp (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))))) (log (exp (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))))) (- (* (* 1.0 (/ 1 N)) (* 1.0 (/ 1 N))) (* (log (exp (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))))) (* 1.0 (/ 1 N))))) (- (* (log (exp (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))))) (log (exp (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))))) (* (* 1.0 (/ 1 N)) (* 1.0 (/ 1 N)))) (- (log (exp (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))))) (* 1.0 (/ 1 N))) (+ (log (exp (* (/ 1 (pow N 2)) (- (/ 1.0 2.0))))) (* 1.0 (/ 1 N))) (+ (log (exp (* (/ 1 (pow N 2)) (- (/ 1.0 2.0))))) (* 1.0 (/ 1 N))) (+ (log (exp (* (- (/ 1.0 2.0)) (/ 1 (pow N 2))))) (* 1.0 (/ 1 N))) (+ (log (exp (* (- (/ 1.0 2.0)) (/ 1 (pow N 2))))) (* 1.0 (/ 1 N))) (+ (log (cbrt (exp (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))))) (* 1.0 (/ 1 N))) (+ (log (sqrt (exp (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))))) (* 1.0 (/ 1 N))) (+ (log (exp (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))))) (* 1.0 (/ 1 N))) (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (/ 1 (pow N 2)) (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) (- (* 0.3333333333333333 (/ 1 (pow N 3))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 6.537 * [simplify]: Sending expressions to egg_math: (log (exp (* (/ 1 (pow h0 2)) (/ (/ 6004799503160661.0 18014398509481984.0) h0)))) (log (exp (* (/ 1 (pow h0 2)) (- (/ 1.0 2.0))))) (log (exp (* (/ 1 (pow h0 2)) (/ (/ 6004799503160661.0 18014398509481984.0) h0)))) (log (exp (* (/ 1 (pow h0 2)) (- (/ 1.0 2.0))))) (log (exp (* (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1 (pow h0 2))))) (log (exp (* (- (/ 1.0 2.0)) (/ 1 (pow h0 2))))) (log (exp (* (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1 (pow h0 2))))) (log (exp (* (- (/ 1.0 2.0)) (/ 1 (pow h0 2))))) (log (* (cbrt (exp (* (/ 1 (pow h0 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))))) (cbrt (exp (* (/ 1 (pow h0 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))))))) (log (cbrt (exp (* (/ 1 (pow h0 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))))) (log (sqrt (exp (* (/ 1 (pow h0 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))))) (log (sqrt (exp (* (/ 1 (pow h0 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))))) (log 1) (log (exp (* (/ 1 (pow h0 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))))) (log (exp (/ 1 (pow h0 2)))) (log (exp (* (/ 1 (pow h0 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))))) (log (exp (/ 1 (pow h0 2)))) (log (log (exp (* (/ 1 (pow h0 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))))) (exp (log (exp (* (/ 1 (pow h0 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))))) (* (cbrt (log (exp (* (/ 1 (pow h0 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))))) (cbrt (log (exp (* (/ 1 (pow h0 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))))))) (cbrt (log (exp (* (/ 1 (pow h0 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))))) (* (* (log (exp (* (/ 1 (pow h0 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))))) (log (exp (* (/ 1 (pow h0 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))))) (log (exp (* (/ 1 (pow h0 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))))) (sqrt (log (exp (* (/ 1 (pow h0 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))))) (sqrt (log (exp (* (/ 1 (pow h0 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))))) (- 2) (- (* (log h0) 2)) (- (* (log h0) 2)) (- (log (pow h0 2))) (- 0 (* (log h0) 2)) (- 0 (* (log h0) 2)) (- 0 (log (pow h0 2))) (- (log 1) (* (log h0) 2)) (- (log 1) (* (log h0) 2)) (- (log 1) (log (pow h0 2))) (log (/ 1 (pow h0 2))) (exp (/ 1 (pow h0 2))) (/ (* (* 1 1) 1) (* (* (pow h0 2) (pow h0 2)) (pow h0 2))) (* (cbrt (/ 1 (pow h0 2))) (cbrt (/ 1 (pow h0 2)))) (cbrt (/ 1 (pow h0 2))) (* (* (/ 1 (pow h0 2)) (/ 1 (pow h0 2))) (/ 1 (pow h0 2))) (sqrt (/ 1 (pow h0 2))) (sqrt (/ 1 (pow h0 2))) (- 1) (- (pow h0 2)) (/ (* (cbrt 1) (cbrt 1)) (pow (* (cbrt h0) (cbrt h0)) 2)) (/ (cbrt 1) (pow (cbrt h0) 2)) (/ (* (cbrt 1) (cbrt 1)) (pow (sqrt h0) 2)) (/ (cbrt 1) (pow (sqrt h0) 2)) (/ (* (cbrt 1) (cbrt 1)) (pow 1 2)) (/ (cbrt 1) (pow h0 2)) (/ (* (cbrt 1) (cbrt 1)) h0) (/ (cbrt 1) h0) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (pow h0 2)) (cbrt (pow h0 2)))) (/ (cbrt 1) (cbrt (pow h0 2))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (pow h0 2))) (/ (cbrt 1) (sqrt (pow h0 2))) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (pow h0 2)) (/ (* (cbrt 1) (cbrt 1)) (pow h0 (/ 2 2))) (/ (cbrt 1) (pow h0 (/ 2 2))) (/ (sqrt 1) (pow (* (cbrt h0) (cbrt h0)) 2)) (/ (sqrt 1) (pow (cbrt h0) 2)) (/ (sqrt 1) (pow (sqrt h0) 2)) (/ (sqrt 1) (pow (sqrt h0) 2)) (/ (sqrt 1) (pow 1 2)) (/ (sqrt 1) (pow h0 2)) (/ (sqrt 1) h0) (/ (sqrt 1) h0) (/ (sqrt 1) (* (cbrt (pow h0 2)) (cbrt (pow h0 2)))) (/ (sqrt 1) (cbrt (pow h0 2))) (/ (sqrt 1) (sqrt (pow h0 2))) (/ (sqrt 1) (sqrt (pow h0 2))) (/ (sqrt 1) 1) (/ (sqrt 1) (pow h0 2)) (/ (sqrt 1) (pow h0 (/ 2 2))) (/ (sqrt 1) (pow h0 (/ 2 2))) (/ 1 (pow (* (cbrt h0) (cbrt h0)) 2)) (/ 1 (pow (cbrt h0) 2)) (/ 1 (pow (sqrt h0) 2)) (/ 1 (pow (sqrt h0) 2)) (/ 1 (pow 1 2)) (/ 1 (pow h0 2)) (/ 1 h0) (/ 1 h0) (/ 1 (* (cbrt (pow h0 2)) (cbrt (pow h0 2)))) (/ 1 (cbrt (pow h0 2))) (/ 1 (sqrt (pow h0 2))) (/ 1 (sqrt (pow h0 2))) (/ 1 1) (/ 1 (pow h0 2)) (/ 1 (pow h0 (/ 2 2))) (/ 1 (pow h0 (/ 2 2))) (/ 1 (pow h0 2)) (/ (pow h0 2) 1) (/ 1 (pow (* (cbrt h0) (cbrt h0)) 2)) (/ 1 (pow (sqrt h0) 2)) (/ 1 (pow 1 2)) (/ 1 h0) (/ 1 (* (cbrt (pow h0 2)) (cbrt (pow h0 2)))) (/ 1 (sqrt (pow h0 2))) (/ 1 1) (/ 1 (pow h0 (/ 2 2))) (/ (pow h0 2) (cbrt 1)) (/ (pow h0 2) (sqrt 1)) (/ (pow h0 2) 1) (* (/ 1 (pow h0 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))) (+ (- (* (log h0) 2)) (log (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))) (+ (- (* (log h0) 2)) (log (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))) (+ (- (log (pow h0 2))) (log (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))) (+ (- 0 (* (log h0) 2)) (log (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))) (+ (- 0 (* (log h0) 2)) (log (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))) (+ (- 0 (log (pow h0 2))) (log (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))) (+ (- (log 1) (* (log h0) 2)) (log (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))) (+ (- (log 1) (* (log h0) 2)) (log (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))) (+ (- (log 1) (log (pow h0 2))) (log (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))) (+ (log (/ 1 (pow h0 2))) (log (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))) (log (* (/ 1 (pow h0 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))) (exp (* (/ 1 (pow h0 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))) (* (/ (* (* 1 1) 1) (* (* (pow h0 2) (pow h0 2)) (pow h0 2))) (* (* (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))) (* (* (* (/ 1 (pow h0 2)) (/ 1 (pow h0 2))) (/ 1 (pow h0 2))) (* (* (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))) (* (cbrt (* (/ 1 (pow h0 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))) (cbrt (* (/ 1 (pow h0 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))))) (cbrt (* (/ 1 (pow h0 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))) (* (* (* (/ 1 (pow h0 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))) (* (/ 1 (pow h0 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))) (* (/ 1 (pow h0 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))) (sqrt (* (/ 1 (pow h0 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))) (sqrt (* (/ 1 (pow h0 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))) (* 1 (- (* (/ 6004799503160661.0 18014398509481984.0) 2.0) (* h0 1.0))) (* (pow h0 2) (* h0 2.0)) (* 1 (- (pow (/ (/ 6004799503160661.0 18014398509481984.0) h0) 3) (pow (/ 1.0 2.0) 3))) (* (pow h0 2) (+ (* (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ (/ 6004799503160661.0 18014398509481984.0) h0)) (+ (* (/ 1.0 2.0) (/ 1.0 2.0)) (* (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))))) (* 1 (- (* (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ (/ 6004799503160661.0 18014398509481984.0) h0)) (* (/ 1.0 2.0) (/ 1.0 2.0)))) (* (pow h0 2) (+ (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))) (* (sqrt (/ 1 (pow h0 2))) (sqrt (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))) (* (sqrt (/ 1 (pow h0 2))) (sqrt (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))) (* (/ (sqrt 1) (pow (sqrt h0) 2)) (sqrt (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))) (* (/ (sqrt 1) (pow (sqrt h0) 2)) (sqrt (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))) (* (/ (sqrt 1) h0) (sqrt (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))) (* (/ (sqrt 1) h0) (sqrt (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))) (* (/ (sqrt 1) (sqrt (pow h0 2))) (sqrt (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))) (* (/ (sqrt 1) (sqrt (pow h0 2))) (sqrt (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))) (* (/ (sqrt 1) (pow h0 (/ 2 2))) (sqrt (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))) (* (/ (sqrt 1) (pow h0 (/ 2 2))) (sqrt (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))) (* (/ 1 (pow (sqrt h0) 2)) (sqrt (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))) (* (/ 1 (pow (sqrt h0) 2)) (sqrt (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))) (* (/ 1 h0) (sqrt (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))) (* (/ 1 h0) (sqrt (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))) (* (/ 1 (sqrt (pow h0 2))) (sqrt (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))) (* (/ 1 (sqrt (pow h0 2))) (sqrt (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))) (* (/ 1 (pow h0 (/ 2 2))) (sqrt (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))) (* (/ 1 (pow h0 (/ 2 2))) (sqrt (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))) (* (/ 1 (pow h0 2)) (/ (/ 6004799503160661.0 18014398509481984.0) h0)) (* (/ 1 (pow h0 2)) (- (/ 1.0 2.0))) (* (/ 1 (pow h0 2)) (/ (/ 6004799503160661.0 18014398509481984.0) h0)) (* (/ 1 (pow h0 2)) (- (/ 1.0 2.0))) (* (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1 (pow h0 2))) (* (- (/ 1.0 2.0)) (/ 1 (pow h0 2))) (* (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1 (pow h0 2))) (* (- (/ 1.0 2.0)) (/ 1 (pow h0 2))) (* (/ 1 (pow h0 2)) (* (cbrt (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))) (cbrt (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))))) (* (/ 1 (pow h0 2)) (sqrt (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))) (* (/ 1 (pow h0 2)) 1) (* (/ 1 (pow h0 2)) (+ (sqrt (/ (/ 6004799503160661.0 18014398509481984.0) h0)) (sqrt (/ 1.0 2.0)))) (* (/ 1 (pow h0 2)) (+ (sqrt (/ (/ 6004799503160661.0 18014398509481984.0) h0)) (/ (sqrt 1.0) (sqrt 2.0)))) (* (/ 1 (pow h0 2)) (+ (/ (sqrt (/ 6004799503160661.0 18014398509481984.0)) (sqrt h0)) (sqrt (/ 1.0 2.0)))) (* (/ 1 (pow h0 2)) (+ (/ (sqrt (/ 6004799503160661.0 18014398509481984.0)) (sqrt h0)) (/ (sqrt 1.0) (sqrt 2.0)))) (* (/ 1 (pow h0 2)) (+ (/ (/ (sqrt 6004799503160661.0) (sqrt 18014398509481984.0)) (sqrt h0)) (sqrt (/ 1.0 2.0)))) (* (/ 1 (pow h0 2)) (+ (/ (/ (sqrt 6004799503160661.0) (sqrt 18014398509481984.0)) (sqrt h0)) (/ (sqrt 1.0) (sqrt 2.0)))) (* (/ 1 (pow h0 2)) (/ 1 1)) (* (/ 1 (pow h0 2)) 1) (* (cbrt (/ 1 (pow h0 2))) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))) (* (sqrt (/ 1 (pow h0 2))) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))) (* (/ (cbrt 1) (pow (cbrt h0) 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))) (* (/ (cbrt 1) (pow (sqrt h0) 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))) (* (/ (cbrt 1) (pow h0 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))) (* (/ (cbrt 1) h0) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))) (* (/ (cbrt 1) (cbrt (pow h0 2))) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))) (* (/ (cbrt 1) (sqrt (pow h0 2))) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))) (* (/ (cbrt 1) (pow h0 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))) (* (/ (cbrt 1) (pow h0 (/ 2 2))) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))) (* (/ (sqrt 1) (pow (cbrt h0) 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))) (* (/ (sqrt 1) (pow (sqrt h0) 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))) (* (/ (sqrt 1) (pow h0 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))) (* (/ (sqrt 1) h0) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))) (* (/ (sqrt 1) (cbrt (pow h0 2))) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))) (* (/ (sqrt 1) (sqrt (pow h0 2))) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))) (* (/ (sqrt 1) (pow h0 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))) (* (/ (sqrt 1) (pow h0 (/ 2 2))) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))) (* (/ 1 (pow (cbrt h0) 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))) (* (/ 1 (pow (sqrt h0) 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))) (* (/ 1 (pow h0 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))) (* (/ 1 h0) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))) (* (/ 1 (cbrt (pow h0 2))) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))) (* (/ 1 (sqrt (pow h0 2))) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))) (* (/ 1 (pow h0 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))) (* (/ 1 (pow h0 (/ 2 2))) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))) (* (/ 1 (pow h0 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))) (* (/ 1 (pow h0 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))) (* (/ 1 (pow h0 2)) (- (* (/ 6004799503160661.0 18014398509481984.0) 2.0) (* h0 1.0))) (* (/ 1 (pow h0 2)) (- (pow (/ (/ 6004799503160661.0 18014398509481984.0) h0) 3) (pow (/ 1.0 2.0) 3))) (* (/ 1 (pow h0 2)) (- (* (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ (/ 6004799503160661.0 18014398509481984.0) h0)) (* (/ 1.0 2.0) (/ 1.0 2.0)))) (* 1 (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))) (* (exp (* (/ 1 (pow h0 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))) (exp (* 1.0 (/ 1 h0)))) (log (+ (log (exp (* (/ 1 (pow h0 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))))) (* 1.0 (/ 1 h0)))) (exp (+ (log (exp (* (/ 1 (pow h0 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))))) (* 1.0 (/ 1 h0)))) (* (cbrt (+ (log (exp (* (/ 1 (pow h0 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))))) (* 1.0 (/ 1 h0)))) (cbrt (+ (log (exp (* (/ 1 (pow h0 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))))) (* 1.0 (/ 1 h0))))) (cbrt (+ (log (exp (* (/ 1 (pow h0 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))))) (* 1.0 (/ 1 h0)))) (* (* (+ (log (exp (* (/ 1 (pow h0 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))))) (* 1.0 (/ 1 h0))) (+ (log (exp (* (/ 1 (pow h0 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))))) (* 1.0 (/ 1 h0)))) (+ (log (exp (* (/ 1 (pow h0 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))))) (* 1.0 (/ 1 h0)))) (sqrt (+ (log (exp (* (/ 1 (pow h0 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))))) (* 1.0 (/ 1 h0)))) (sqrt (+ (log (exp (* (/ 1 (pow h0 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))))) (* 1.0 (/ 1 h0)))) (+ (pow (log (exp (* (/ 1 (pow h0 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))))) 3) (pow (* 1.0 (/ 1 h0)) 3)) (+ (* (log (exp (* (/ 1 (pow h0 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))))) (log (exp (* (/ 1 (pow h0 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))))) (- (* (* 1.0 (/ 1 h0)) (* 1.0 (/ 1 h0))) (* (log (exp (* (/ 1 (pow h0 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))))) (* 1.0 (/ 1 h0))))) (- (* (log (exp (* (/ 1 (pow h0 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))))) (log (exp (* (/ 1 (pow h0 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))))) (* (* 1.0 (/ 1 h0)) (* 1.0 (/ 1 h0)))) (- (log (exp (* (/ 1 (pow h0 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))))) (* 1.0 (/ 1 h0))) (+ (log (exp (* (/ 1 (pow h0 2)) (- (/ 1.0 2.0))))) (* 1.0 (/ 1 h0))) (+ (log (exp (* (/ 1 (pow h0 2)) (- (/ 1.0 2.0))))) (* 1.0 (/ 1 h0))) (+ (log (exp (* (- (/ 1.0 2.0)) (/ 1 (pow h0 2))))) (* 1.0 (/ 1 h0))) (+ (log (exp (* (- (/ 1.0 2.0)) (/ 1 (pow h0 2))))) (* 1.0 (/ 1 h0))) (+ (log (cbrt (exp (* (/ 1 (pow h0 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))))) (* 1.0 (/ 1 h0))) (+ (log (sqrt (exp (* (/ 1 (pow h0 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0)))))) (* 1.0 (/ 1 h0))) (+ (log (exp (* (/ 1 (pow h0 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) h0) (/ 1.0 2.0))))) (* 1.0 (/ 1 h0))) (- (* (/ 6004799503160661.0 18014398509481984.0) (/ 1 (pow h0 3))) (* (/ 1.0 2.0) (/ 1 (pow h0 2)))) (- (* (/ 6004799503160661.0 18014398509481984.0) (/ 1 (pow h0 3))) (* (/ 1.0 2.0) (/ 1 (pow h0 2)))) (- (* (/ 6004799503160661.0 18014398509481984.0) (/ 1 (pow h0 3))) (* (/ 1.0 2.0) (/ 1 (pow h0 2)))) (/ 1 (pow h0 2)) (/ 1 (pow h0 2)) (/ 1 (pow h0 2)) (- (* (/ 6004799503160661.0 18014398509481984.0) (/ 1 (pow h0 3))) (* (/ 1.0 2.0) (/ 1 (pow h0 2)))) (- (* (/ 6004799503160661.0 18014398509481984.0) (/ 1 (pow h0 3))) (* (/ 1.0 2.0) (/ 1 (pow h0 2)))) (- (* (/ 6004799503160661.0 18014398509481984.0) (/ 1 (pow h0 3))) (* (/ 1.0 2.0) (/ 1 (pow h0 2)))) (- (+ (* 1.0 (/ 1 h0)) (* (/ 6004799503160661.0 18014398509481984.0) (/ 1 (pow h0 3)))) (* (/ 1.0 2.0) (/ 1 (pow h0 2)))) (- (+ (* (/ 6004799503160661.0 18014398509481984.0) (/ 1 (pow h0 3))) (* 1.0 (/ 1 h0))) (* (/ 1.0 2.0) (/ 1 (pow h0 2)))) (- (+ (* (/ 6004799503160661.0 18014398509481984.0) (/ 1 (pow h0 3))) (* 1.0 (/ 1 h0))) (* (/ 1.0 2.0) (/ 1 (pow h0 2)))) 7.993 * * * [progress]: adding candidates to table 8.613 * [progress]: [Phase 3 of 3] Extracting. 8.613 * * [regime]: Finding splitpoints for: (# # # #) 8.615 * * * [regime-changes]: Trying 1 branch expressions: (N) 8.615 * * * * [regimes]: Trying to branch on N from (# # # #) 8.642 * * * [regime]: Found split indices: #