13.366 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.112 * * * [progress]: [2/2] Setting up program. 0.114 * [progress]: [Phase 2 of 3] Improving. 0.114 * [simplify]: Simplifying: (- (log (+ N 1.0)) (log N)) 0.115 * [simplify]: Sending expressions to egg_math: (- (log (+ h0 1.0)) (log h0)) 0.116 * * [progress]: iteration 1 / 4 0.116 * * * [progress]: picking best candidate 0.118 * * * * [pick]: Picked # 0.118 * * * [progress]: localizing error 0.126 * * * [progress]: generating rewritten candidates 0.126 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.138 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.149 * * * [progress]: generating series expansions 0.149 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.149 * [backup-simplify]: Simplify (- (log (+ N 1.0)) (log N)) into (- (log (+ N 1.0)) (log N)) 0.149 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.149 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.149 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.149 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.149 * [taylor]: Taking taylor expansion of N in N 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify 1 into 1 0.149 * [taylor]: Taking taylor expansion of 1.0 in N 0.149 * [backup-simplify]: Simplify 1.0 into 1.0 0.150 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.151 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.151 * [taylor]: Taking taylor expansion of (log 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 (log 1) into 0 0.151 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.152 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.152 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.152 * [taylor]: Taking taylor expansion of N in N 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify 1 into 1 0.152 * [taylor]: Taking taylor expansion of 1.0 in N 0.152 * [backup-simplify]: Simplify 1.0 into 1.0 0.152 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.153 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.153 * [taylor]: Taking taylor expansion of (log N) in N 0.153 * [taylor]: Taking taylor expansion of N in N 0.153 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify 1 into 1 0.153 * [backup-simplify]: Simplify (log 1) into 0 0.154 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.154 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.155 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N)) 0.155 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.155 * [backup-simplify]: Simplify (+ 1 0) into 1 0.159 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.160 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.160 * [backup-simplify]: Simplify (- 0) into 0 0.160 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.160 * [backup-simplify]: Simplify 1.0 into 1.0 0.161 * [backup-simplify]: Simplify (+ 0 0) into 0 0.168 * [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)) 0.170 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.170 * [backup-simplify]: Simplify (- 0) into 0 0.171 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.173 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.176 * [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))) 0.176 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) 0.176 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.176 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.176 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.176 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.176 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.176 * [taylor]: Taking taylor expansion of N in N 0.176 * [backup-simplify]: Simplify 0 into 0 0.176 * [backup-simplify]: Simplify 1 into 1 0.177 * [backup-simplify]: Simplify (/ 1 1) into 1 0.177 * [taylor]: Taking taylor expansion of 1.0 in N 0.177 * [backup-simplify]: Simplify 1.0 into 1.0 0.177 * [backup-simplify]: Simplify (+ 1 0) into 1 0.177 * [backup-simplify]: Simplify (log 1) into 0 0.177 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.177 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.177 * [taylor]: Taking taylor expansion of N in N 0.177 * [backup-simplify]: Simplify 0 into 0 0.177 * [backup-simplify]: Simplify 1 into 1 0.178 * [backup-simplify]: Simplify (/ 1 1) into 1 0.178 * [backup-simplify]: Simplify (log 1) into 0 0.178 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.178 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.178 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.178 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.178 * [taylor]: Taking taylor expansion of N in N 0.178 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify 1 into 1 0.178 * [backup-simplify]: Simplify (/ 1 1) into 1 0.178 * [taylor]: Taking taylor expansion of 1.0 in N 0.178 * [backup-simplify]: Simplify 1.0 into 1.0 0.179 * [backup-simplify]: Simplify (+ 1 0) into 1 0.179 * [backup-simplify]: Simplify (log 1) into 0 0.179 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.179 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.179 * [taylor]: Taking taylor expansion of N in N 0.179 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify 1 into 1 0.180 * [backup-simplify]: Simplify (/ 1 1) into 1 0.180 * [backup-simplify]: Simplify (log 1) into 0 0.180 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.181 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.181 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.181 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.181 * [backup-simplify]: Simplify 0 into 0 0.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.182 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.185 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.187 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.187 * [backup-simplify]: Simplify (- 0) into 0 0.187 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.187 * [backup-simplify]: Simplify 1.0 into 1.0 0.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.188 * [backup-simplify]: Simplify (+ 0 0) into 0 0.196 * [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 0.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.199 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.199 * [backup-simplify]: Simplify (- 0) into 0 0.199 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.199 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.200 * [backup-simplify]: Simplify (+ 0 0) into 0 0.229 * [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 0.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.235 * [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 0.236 * [backup-simplify]: Simplify (- 0) into 0 0.236 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.236 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.237 * [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)))) 0.238 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1.0)) (log (/ 1 (- N)))) into (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) 0.238 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.238 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.238 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.238 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.238 * [taylor]: Taking taylor expansion of 1.0 in N 0.238 * [backup-simplify]: Simplify 1.0 into 1.0 0.238 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.238 * [taylor]: Taking taylor expansion of N in N 0.238 * [backup-simplify]: Simplify 0 into 0 0.238 * [backup-simplify]: Simplify 1 into 1 0.238 * [backup-simplify]: Simplify (/ 1 1) into 1 0.239 * [backup-simplify]: Simplify (- 1) into -1 0.239 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.240 * [backup-simplify]: Simplify (log -1) into (log -1) 0.240 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.240 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.240 * [taylor]: Taking taylor expansion of -1 in N 0.240 * [backup-simplify]: Simplify -1 into -1 0.240 * [taylor]: Taking taylor expansion of N in N 0.240 * [backup-simplify]: Simplify 0 into 0 0.240 * [backup-simplify]: Simplify 1 into 1 0.240 * [backup-simplify]: Simplify (/ -1 1) into -1 0.241 * [backup-simplify]: Simplify (log -1) into (log -1) 0.241 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.241 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.241 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.241 * [taylor]: Taking taylor expansion of 1.0 in N 0.241 * [backup-simplify]: Simplify 1.0 into 1.0 0.241 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.241 * [taylor]: Taking taylor expansion of N in N 0.241 * [backup-simplify]: Simplify 0 into 0 0.241 * [backup-simplify]: Simplify 1 into 1 0.241 * [backup-simplify]: Simplify (/ 1 1) into 1 0.242 * [backup-simplify]: Simplify (- 1) into -1 0.242 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.242 * [backup-simplify]: Simplify (log -1) into (log -1) 0.243 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.243 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.243 * [taylor]: Taking taylor expansion of -1 in N 0.243 * [backup-simplify]: Simplify -1 into -1 0.243 * [taylor]: Taking taylor expansion of N in N 0.243 * [backup-simplify]: Simplify 0 into 0 0.243 * [backup-simplify]: Simplify 1 into 1 0.243 * [backup-simplify]: Simplify (/ -1 1) into -1 0.244 * [backup-simplify]: Simplify (log -1) into (log -1) 0.244 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.245 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.246 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.247 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.247 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.248 * [backup-simplify]: Simplify (- 0) into 0 0.248 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.255 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.256 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.258 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.258 * [backup-simplify]: Simplify (- 0) into 0 0.259 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 0.259 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.261 * [backup-simplify]: Simplify (- 0) into 0 0.261 * [backup-simplify]: Simplify (+ 0 0) into 0 0.270 * [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 0.271 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.273 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.273 * [backup-simplify]: Simplify (- 0) into 0 0.273 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.274 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.274 * [backup-simplify]: Simplify (- 0) into 0 0.275 * [backup-simplify]: Simplify (+ 0 0) into 0 0.286 * [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 0.287 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.290 * [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 0.290 * [backup-simplify]: Simplify (- 0) into 0 0.290 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333) 0.291 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.293 * [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)))) 0.293 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.293 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 0.293 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.293 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.293 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.293 * [taylor]: Taking taylor expansion of N in N 0.293 * [backup-simplify]: Simplify 0 into 0 0.293 * [backup-simplify]: Simplify 1 into 1 0.293 * [taylor]: Taking taylor expansion of 1.0 in N 0.293 * [backup-simplify]: Simplify 1.0 into 1.0 0.294 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.294 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.294 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.294 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.294 * [taylor]: Taking taylor expansion of N in N 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify 1 into 1 0.294 * [taylor]: Taking taylor expansion of 1.0 in N 0.294 * [backup-simplify]: Simplify 1.0 into 1.0 0.295 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.295 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.296 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.296 * [backup-simplify]: Simplify (+ 1 0) into 1 0.302 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.302 * [backup-simplify]: Simplify 1.0 into 1.0 0.303 * [backup-simplify]: Simplify (+ 0 0) into 0 0.313 * [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)) 0.314 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.316 * [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)))) 0.316 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 0.316 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.316 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.316 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.316 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.316 * [taylor]: Taking taylor expansion of N in N 0.316 * [backup-simplify]: Simplify 0 into 0 0.316 * [backup-simplify]: Simplify 1 into 1 0.317 * [backup-simplify]: Simplify (/ 1 1) into 1 0.317 * [taylor]: Taking taylor expansion of 1.0 in N 0.317 * [backup-simplify]: Simplify 1.0 into 1.0 0.317 * [backup-simplify]: Simplify (+ 1 0) into 1 0.318 * [backup-simplify]: Simplify (log 1) into 0 0.318 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.318 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.318 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.318 * [taylor]: Taking taylor expansion of N in N 0.318 * [backup-simplify]: Simplify 0 into 0 0.318 * [backup-simplify]: Simplify 1 into 1 0.318 * [backup-simplify]: Simplify (/ 1 1) into 1 0.318 * [taylor]: Taking taylor expansion of 1.0 in N 0.318 * [backup-simplify]: Simplify 1.0 into 1.0 0.319 * [backup-simplify]: Simplify (+ 1 0) into 1 0.319 * [backup-simplify]: Simplify (log 1) into 0 0.319 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.320 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.321 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.327 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.327 * [backup-simplify]: Simplify 1.0 into 1.0 0.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.328 * [backup-simplify]: Simplify (+ 0 0) into 0 0.338 * [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 0.338 * [backup-simplify]: Simplify -0.5 into -0.5 0.339 * [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)))) 0.339 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 0.339 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.339 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.339 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.339 * [taylor]: Taking taylor expansion of 1.0 in N 0.339 * [backup-simplify]: Simplify 1.0 into 1.0 0.339 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.339 * [taylor]: Taking taylor expansion of N in N 0.339 * [backup-simplify]: Simplify 0 into 0 0.339 * [backup-simplify]: Simplify 1 into 1 0.340 * [backup-simplify]: Simplify (/ 1 1) into 1 0.340 * [backup-simplify]: Simplify (- 1) into -1 0.340 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.341 * [backup-simplify]: Simplify (log -1) into (log -1) 0.341 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.341 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.341 * [taylor]: Taking taylor expansion of 1.0 in N 0.341 * [backup-simplify]: Simplify 1.0 into 1.0 0.341 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.341 * [taylor]: Taking taylor expansion of N in N 0.341 * [backup-simplify]: Simplify 0 into 0 0.341 * [backup-simplify]: Simplify 1 into 1 0.341 * [backup-simplify]: Simplify (/ 1 1) into 1 0.342 * [backup-simplify]: Simplify (- 1) into -1 0.342 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.342 * [backup-simplify]: Simplify (log -1) into (log -1) 0.343 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.343 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.345 * [backup-simplify]: Simplify (- 0) into 0 0.345 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.352 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.352 * [backup-simplify]: Simplify -1.0 into -1.0 0.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.364 * [backup-simplify]: Simplify (- 0) into 0 0.365 * [backup-simplify]: Simplify (+ 0 0) into 0 0.379 * [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 0.379 * [backup-simplify]: Simplify -0.5 into -0.5 0.380 * [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)))) 0.380 * * * [progress]: simplifying candidates 0.381 * [simplify]: Simplifying: (/ (+ 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)) (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log 1) (log (+ N 1.0)) (log 1) (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (exp (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (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 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)))) 0.382 * [simplify]: Sending expressions to egg_math: (/ (+ 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)) (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))) (- (+ (* 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 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)))) 0.509 * * * [progress]: adding candidates to table 0.659 * * [progress]: iteration 2 / 4 0.659 * * * [progress]: picking best candidate 0.668 * * * * [pick]: Picked # 0.668 * * * [progress]: localizing error 0.673 * * * [progress]: generating rewritten candidates 0.673 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.679 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.706 * * * [progress]: generating series expansions 0.706 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.706 * [backup-simplify]: Simplify (log (/ (+ N 1.0) N)) into (log (/ (+ N 1.0) N)) 0.706 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 0.706 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.706 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.706 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.706 * [taylor]: Taking taylor expansion of N in N 0.706 * [backup-simplify]: Simplify 0 into 0 0.706 * [backup-simplify]: Simplify 1 into 1 0.706 * [taylor]: Taking taylor expansion of 1.0 in N 0.706 * [backup-simplify]: Simplify 1.0 into 1.0 0.706 * [taylor]: Taking taylor expansion of N in N 0.706 * [backup-simplify]: Simplify 0 into 0 0.706 * [backup-simplify]: Simplify 1 into 1 0.707 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.708 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 0.708 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.708 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 0.708 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.708 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.708 * [taylor]: Taking taylor expansion of N in N 0.708 * [backup-simplify]: Simplify 0 into 0 0.708 * [backup-simplify]: Simplify 1 into 1 0.708 * [taylor]: Taking taylor expansion of 1.0 in N 0.708 * [backup-simplify]: Simplify 1.0 into 1.0 0.709 * [taylor]: Taking taylor expansion of N in N 0.709 * [backup-simplify]: Simplify 0 into 0 0.709 * [backup-simplify]: Simplify 1 into 1 0.709 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.710 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 0.710 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.711 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 0.712 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.712 * [backup-simplify]: Simplify (+ 1 0) into 1 0.713 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 0.719 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.719 * [backup-simplify]: Simplify 1.0 into 1.0 0.719 * [backup-simplify]: Simplify (+ 0 0) into 0 0.720 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 0.728 * [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)) 0.730 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.732 * [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))) 0.732 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (log (* N (+ (/ 1 N) 1.0))) 0.732 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 0.732 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.732 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.732 * [taylor]: Taking taylor expansion of N in N 0.732 * [backup-simplify]: Simplify 0 into 0 0.732 * [backup-simplify]: Simplify 1 into 1 0.732 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.732 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.732 * [taylor]: Taking taylor expansion of N in N 0.732 * [backup-simplify]: Simplify 0 into 0 0.732 * [backup-simplify]: Simplify 1 into 1 0.732 * [backup-simplify]: Simplify (/ 1 1) into 1 0.732 * [taylor]: Taking taylor expansion of 1.0 in N 0.732 * [backup-simplify]: Simplify 1.0 into 1.0 0.733 * [backup-simplify]: Simplify (+ 1 0) into 1 0.733 * [backup-simplify]: Simplify (* 0 1) into 0 0.733 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.734 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.734 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 0.735 * [backup-simplify]: Simplify (log 1) into 0 0.735 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 0.735 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.735 * [taylor]: Taking taylor expansion of N in N 0.735 * [backup-simplify]: Simplify 0 into 0 0.735 * [backup-simplify]: Simplify 1 into 1 0.735 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.735 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.735 * [taylor]: Taking taylor expansion of N in N 0.735 * [backup-simplify]: Simplify 0 into 0 0.735 * [backup-simplify]: Simplify 1 into 1 0.735 * [backup-simplify]: Simplify (/ 1 1) into 1 0.735 * [taylor]: Taking taylor expansion of 1.0 in N 0.735 * [backup-simplify]: Simplify 1.0 into 1.0 0.735 * [backup-simplify]: Simplify (+ 1 0) into 1 0.736 * [backup-simplify]: Simplify (* 0 1) into 0 0.736 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.736 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.737 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 0.737 * [backup-simplify]: Simplify (log 1) into 0 0.737 * [backup-simplify]: Simplify 0 into 0 0.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.738 * [backup-simplify]: Simplify (+ 0 0) into 0 0.740 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 0.743 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.743 * [backup-simplify]: Simplify 1.0 into 1.0 0.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.744 * [backup-simplify]: Simplify (+ 0 0) into 0 0.745 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 0.752 * [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 0.752 * [backup-simplify]: Simplify -0.5 into -0.5 0.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.753 * [backup-simplify]: Simplify (+ 0 0) into 0 0.753 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 0.769 * [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 0.769 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.769 * [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)))) 0.769 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (log (* -1 (* N (- 1.0 (/ 1 N))))) 0.769 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 0.769 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.769 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.770 * [taylor]: Taking taylor expansion of -1 in N 0.770 * [backup-simplify]: Simplify -1 into -1 0.770 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.770 * [taylor]: Taking taylor expansion of N in N 0.770 * [backup-simplify]: Simplify 0 into 0 0.770 * [backup-simplify]: Simplify 1 into 1 0.770 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.770 * [taylor]: Taking taylor expansion of 1.0 in N 0.770 * [backup-simplify]: Simplify 1.0 into 1.0 0.770 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.770 * [taylor]: Taking taylor expansion of N in N 0.770 * [backup-simplify]: Simplify 0 into 0 0.770 * [backup-simplify]: Simplify 1 into 1 0.770 * [backup-simplify]: Simplify (/ 1 1) into 1 0.770 * [backup-simplify]: Simplify (- 1) into -1 0.770 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.771 * [backup-simplify]: Simplify (* 0 -1) into 0 0.771 * [backup-simplify]: Simplify (* -1 0) into 0 0.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.772 * [backup-simplify]: Simplify (- 0) into 0 0.772 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.772 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 0.773 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 0.773 * [backup-simplify]: Simplify (log 1) into 0 0.773 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 0.773 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.773 * [taylor]: Taking taylor expansion of -1 in N 0.773 * [backup-simplify]: Simplify -1 into -1 0.773 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.773 * [taylor]: Taking taylor expansion of N in N 0.773 * [backup-simplify]: Simplify 0 into 0 0.773 * [backup-simplify]: Simplify 1 into 1 0.773 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.773 * [taylor]: Taking taylor expansion of 1.0 in N 0.773 * [backup-simplify]: Simplify 1.0 into 1.0 0.773 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.773 * [taylor]: Taking taylor expansion of N in N 0.773 * [backup-simplify]: Simplify 0 into 0 0.773 * [backup-simplify]: Simplify 1 into 1 0.773 * [backup-simplify]: Simplify (/ 1 1) into 1 0.774 * [backup-simplify]: Simplify (- 1) into -1 0.774 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.774 * [backup-simplify]: Simplify (* 0 -1) into 0 0.774 * [backup-simplify]: Simplify (* -1 0) into 0 0.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.775 * [backup-simplify]: Simplify (- 0) into 0 0.775 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.776 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 0.776 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 0.776 * [backup-simplify]: Simplify (log 1) into 0 0.777 * [backup-simplify]: Simplify 0 into 0 0.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.777 * [backup-simplify]: Simplify (- 0) into 0 0.777 * [backup-simplify]: Simplify (+ 0 0) into 0 0.779 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 0.780 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 0.787 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 0.787 * [backup-simplify]: Simplify -1.0 into -1.0 0.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.788 * [backup-simplify]: Simplify (- 0) into 0 0.788 * [backup-simplify]: Simplify (+ 0 0) into 0 0.790 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 0.791 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 0.799 * [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 0.799 * [backup-simplify]: Simplify -0.5 into -0.5 0.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.800 * [backup-simplify]: Simplify (- 0) into 0 0.800 * [backup-simplify]: Simplify (+ 0 0) into 0 0.801 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 0.802 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 0.814 * [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 0.814 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 0.815 * [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)))) 0.815 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.815 * [backup-simplify]: Simplify (/ (+ N 1.0) N) into (/ (+ N 1.0) N) 0.815 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 0.815 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.815 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.815 * [taylor]: Taking taylor expansion of N in N 0.815 * [backup-simplify]: Simplify 0 into 0 0.815 * [backup-simplify]: Simplify 1 into 1 0.815 * [taylor]: Taking taylor expansion of 1.0 in N 0.815 * [backup-simplify]: Simplify 1.0 into 1.0 0.815 * [taylor]: Taking taylor expansion of N in N 0.815 * [backup-simplify]: Simplify 0 into 0 0.815 * [backup-simplify]: Simplify 1 into 1 0.815 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.816 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 0.816 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 0.816 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.816 * [taylor]: Taking taylor expansion of N in N 0.816 * [backup-simplify]: Simplify 0 into 0 0.816 * [backup-simplify]: Simplify 1 into 1 0.816 * [taylor]: Taking taylor expansion of 1.0 in N 0.816 * [backup-simplify]: Simplify 1.0 into 1.0 0.816 * [taylor]: Taking taylor expansion of N in N 0.816 * [backup-simplify]: Simplify 0 into 0 0.816 * [backup-simplify]: Simplify 1 into 1 0.816 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.817 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 0.817 * [backup-simplify]: Simplify 1.0 into 1.0 0.817 * [backup-simplify]: Simplify (+ 1 0) into 1 0.818 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 0.818 * [backup-simplify]: Simplify 1 into 1 0.818 * [backup-simplify]: Simplify (+ 0 0) into 0 0.819 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 0.819 * [backup-simplify]: Simplify 0 into 0 0.819 * [backup-simplify]: Simplify (+ 0 0) into 0 0.820 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.820 * [backup-simplify]: Simplify 0 into 0 0.821 * [backup-simplify]: Simplify (+ 0 0) into 0 0.821 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.821 * [backup-simplify]: Simplify 0 into 0 0.822 * [backup-simplify]: Simplify (+ 0 0) into 0 0.822 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.822 * [backup-simplify]: Simplify 0 into 0 0.823 * [backup-simplify]: Simplify (+ 0 0) into 0 0.823 * [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 0.823 * [backup-simplify]: Simplify 0 into 0 0.824 * [backup-simplify]: Simplify (+ 0 0) into 0 0.824 * [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 0.825 * [backup-simplify]: Simplify 0 into 0 0.825 * [backup-simplify]: Simplify (+ 1 (* 1.0 (/ 1 N))) into (+ (* 1.0 (/ 1 N)) 1) 0.825 * [backup-simplify]: Simplify (/ (+ (/ 1 N) 1.0) (/ 1 N)) into (* N (+ (/ 1 N) 1.0)) 0.825 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 0.825 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.825 * [taylor]: Taking taylor expansion of N in N 0.825 * [backup-simplify]: Simplify 0 into 0 0.825 * [backup-simplify]: Simplify 1 into 1 0.825 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.825 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.825 * [taylor]: Taking taylor expansion of N in N 0.825 * [backup-simplify]: Simplify 0 into 0 0.825 * [backup-simplify]: Simplify 1 into 1 0.825 * [backup-simplify]: Simplify (/ 1 1) into 1 0.825 * [taylor]: Taking taylor expansion of 1.0 in N 0.825 * [backup-simplify]: Simplify 1.0 into 1.0 0.825 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 0.825 * [taylor]: Taking taylor expansion of N in N 0.825 * [backup-simplify]: Simplify 0 into 0 0.825 * [backup-simplify]: Simplify 1 into 1 0.825 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.825 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.825 * [taylor]: Taking taylor expansion of N in N 0.825 * [backup-simplify]: Simplify 0 into 0 0.825 * [backup-simplify]: Simplify 1 into 1 0.826 * [backup-simplify]: Simplify (/ 1 1) into 1 0.826 * [taylor]: Taking taylor expansion of 1.0 in N 0.826 * [backup-simplify]: Simplify 1.0 into 1.0 0.826 * [backup-simplify]: Simplify (+ 1 0) into 1 0.826 * [backup-simplify]: Simplify (* 0 1) into 0 0.826 * [backup-simplify]: Simplify 0 into 0 0.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.827 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.827 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 0.828 * [backup-simplify]: Simplify 1 into 1 0.828 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.828 * [backup-simplify]: Simplify (+ 0 0) into 0 0.830 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 0.830 * [backup-simplify]: Simplify 1.0 into 1.0 0.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.831 * [backup-simplify]: Simplify (+ 0 0) into 0 0.832 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 0.832 * [backup-simplify]: Simplify 0 into 0 0.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.833 * [backup-simplify]: Simplify (+ 0 0) into 0 0.834 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 0.834 * [backup-simplify]: Simplify 0 into 0 0.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.835 * [backup-simplify]: Simplify (+ 0 0) into 0 0.836 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))) into 0 0.836 * [backup-simplify]: Simplify 0 into 0 0.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.837 * [backup-simplify]: Simplify (+ 0 0) into 0 0.838 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))) into 0 0.838 * [backup-simplify]: Simplify 0 into 0 0.839 * [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 0.839 * [backup-simplify]: Simplify (+ 0 0) into 0 0.840 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))))) into 0 0.840 * [backup-simplify]: Simplify 0 into 0 0.841 * [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 0.841 * [backup-simplify]: Simplify (+ 0 0) into 0 0.842 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))))) into 0 0.842 * [backup-simplify]: Simplify 0 into 0 0.842 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) 1) into (+ (* 1.0 (/ 1 N)) 1) 0.843 * [backup-simplify]: Simplify (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N))) into (* -1 (* N (- 1.0 (/ 1 N)))) 0.843 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 0.843 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.843 * [taylor]: Taking taylor expansion of -1 in N 0.843 * [backup-simplify]: Simplify -1 into -1 0.843 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.843 * [taylor]: Taking taylor expansion of N in N 0.843 * [backup-simplify]: Simplify 0 into 0 0.843 * [backup-simplify]: Simplify 1 into 1 0.843 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.843 * [taylor]: Taking taylor expansion of 1.0 in N 0.843 * [backup-simplify]: Simplify 1.0 into 1.0 0.843 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.843 * [taylor]: Taking taylor expansion of N in N 0.843 * [backup-simplify]: Simplify 0 into 0 0.843 * [backup-simplify]: Simplify 1 into 1 0.843 * [backup-simplify]: Simplify (/ 1 1) into 1 0.843 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 0.843 * [taylor]: Taking taylor expansion of -1 in N 0.843 * [backup-simplify]: Simplify -1 into -1 0.843 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 0.843 * [taylor]: Taking taylor expansion of N in N 0.843 * [backup-simplify]: Simplify 0 into 0 0.843 * [backup-simplify]: Simplify 1 into 1 0.843 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.843 * [taylor]: Taking taylor expansion of 1.0 in N 0.843 * [backup-simplify]: Simplify 1.0 into 1.0 0.843 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.843 * [taylor]: Taking taylor expansion of N in N 0.843 * [backup-simplify]: Simplify 0 into 0 0.843 * [backup-simplify]: Simplify 1 into 1 0.843 * [backup-simplify]: Simplify (/ 1 1) into 1 0.844 * [backup-simplify]: Simplify (- 1) into -1 0.844 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.844 * [backup-simplify]: Simplify (* 0 -1) into 0 0.845 * [backup-simplify]: Simplify (* -1 0) into 0 0.845 * [backup-simplify]: Simplify 0 into 0 0.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.845 * [backup-simplify]: Simplify (- 0) into 0 0.846 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.846 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 0.846 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 0.846 * [backup-simplify]: Simplify 1 into 1 0.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.847 * [backup-simplify]: Simplify (- 0) into 0 0.847 * [backup-simplify]: Simplify (+ 0 0) into 0 0.849 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 0.850 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 0.851 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.851 * [backup-simplify]: Simplify (- 0) into 0 0.852 * [backup-simplify]: Simplify (+ 0 0) into 0 0.852 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 0.853 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 0.853 * [backup-simplify]: Simplify 0 into 0 0.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.854 * [backup-simplify]: Simplify (- 0) into 0 0.854 * [backup-simplify]: Simplify (+ 0 0) into 0 0.855 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 0.856 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 0.856 * [backup-simplify]: Simplify 0 into 0 0.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.857 * [backup-simplify]: Simplify (- 0) into 0 0.857 * [backup-simplify]: Simplify (+ 0 0) into 0 0.858 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0 0.866 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))) into 0 0.866 * [backup-simplify]: Simplify 0 into 0 0.867 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.867 * [backup-simplify]: Simplify (- 0) into 0 0.867 * [backup-simplify]: Simplify (+ 0 0) into 0 0.869 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0 0.870 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))) into 0 0.870 * [backup-simplify]: Simplify 0 into 0 0.870 * [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 0.871 * [backup-simplify]: Simplify (- 0) into 0 0.871 * [backup-simplify]: Simplify (+ 0 0) into 0 0.872 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0 0.873 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))))) into 0 0.873 * [backup-simplify]: Simplify 0 into 0 0.874 * [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 0.874 * [backup-simplify]: Simplify (- 0) into 0 0.874 * [backup-simplify]: Simplify (+ 0 0) into 0 0.876 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))))) into 0 0.877 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))))) into 0 0.877 * [backup-simplify]: Simplify 0 into 0 0.877 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (- N))) 1) into (+ (* 1.0 (/ 1 N)) 1) 0.878 * * * [progress]: simplifying candidates 0.879 * [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) 0.879 * [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) 0.927 * * * [progress]: adding candidates to table 1.121 * * [progress]: iteration 3 / 4 1.121 * * * [progress]: picking best candidate 1.130 * * * * [pick]: Picked # 1.130 * * * [progress]: localizing error 1.142 * * * [progress]: generating rewritten candidates 1.142 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.151 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.159 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 1.176 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 1.226 * * * [progress]: generating series expansions 1.226 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.226 * [backup-simplify]: Simplify (log (/ (sqrt (+ N 1.0)) (sqrt N))) into (log (sqrt (/ (+ N 1.0) N))) 1.226 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in (N) around 0 1.226 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 1.226 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 1.226 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.226 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.226 * [taylor]: Taking taylor expansion of N in N 1.226 * [backup-simplify]: Simplify 0 into 0 1.226 * [backup-simplify]: Simplify 1 into 1 1.226 * [taylor]: Taking taylor expansion of 1.0 in N 1.226 * [backup-simplify]: Simplify 1.0 into 1.0 1.226 * [taylor]: Taking taylor expansion of N in N 1.226 * [backup-simplify]: Simplify 0 into 0 1.226 * [backup-simplify]: Simplify 1 into 1 1.227 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.227 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.227 * [backup-simplify]: Simplify (sqrt 0) into 0 1.228 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 1.229 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 1.229 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 1.229 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 1.229 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.229 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.229 * [taylor]: Taking taylor expansion of N in N 1.229 * [backup-simplify]: Simplify 0 into 0 1.229 * [backup-simplify]: Simplify 1 into 1 1.229 * [taylor]: Taking taylor expansion of 1.0 in N 1.229 * [backup-simplify]: Simplify 1.0 into 1.0 1.229 * [taylor]: Taking taylor expansion of N in N 1.229 * [backup-simplify]: Simplify 0 into 0 1.229 * [backup-simplify]: Simplify 1 into 1 1.229 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.230 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.230 * [backup-simplify]: Simplify (sqrt 0) into 0 1.231 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 1.231 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 1.231 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 1.232 * [backup-simplify]: Simplify (+ 1 0) into 1 1.232 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 1.234 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.238 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 1.238 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.238 * [backup-simplify]: Simplify (+ 0 0) into 0 1.239 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1.241 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.249 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 1.249 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.250 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 (pow N 2)) (- (* +nan.0 N)))) 1.250 * [backup-simplify]: Simplify (log (/ (sqrt (+ (/ 1 N) 1.0)) (sqrt (/ 1 N)))) into (log (sqrt (* N (+ (/ 1 N) 1.0)))) 1.250 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in (N) around 0 1.250 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 1.250 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 1.250 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.250 * [taylor]: Taking taylor expansion of N in N 1.250 * [backup-simplify]: Simplify 0 into 0 1.250 * [backup-simplify]: Simplify 1 into 1 1.250 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.250 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.250 * [taylor]: Taking taylor expansion of N in N 1.250 * [backup-simplify]: Simplify 0 into 0 1.250 * [backup-simplify]: Simplify 1 into 1 1.250 * [backup-simplify]: Simplify (/ 1 1) into 1 1.250 * [taylor]: Taking taylor expansion of 1.0 in N 1.250 * [backup-simplify]: Simplify 1.0 into 1.0 1.250 * [backup-simplify]: Simplify (+ 1 0) into 1 1.251 * [backup-simplify]: Simplify (* 0 1) into 0 1.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.251 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.252 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 1.252 * [backup-simplify]: Simplify (sqrt 1) into 1 1.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.253 * [backup-simplify]: Simplify (+ 0 0) into 0 1.254 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 1.256 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 1.256 * [backup-simplify]: Simplify (log 1) into 0 1.256 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 1.256 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 1.256 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.256 * [taylor]: Taking taylor expansion of N in N 1.256 * [backup-simplify]: Simplify 0 into 0 1.256 * [backup-simplify]: Simplify 1 into 1 1.256 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.256 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.256 * [taylor]: Taking taylor expansion of N in N 1.256 * [backup-simplify]: Simplify 0 into 0 1.256 * [backup-simplify]: Simplify 1 into 1 1.257 * [backup-simplify]: Simplify (/ 1 1) into 1 1.257 * [taylor]: Taking taylor expansion of 1.0 in N 1.257 * [backup-simplify]: Simplify 1.0 into 1.0 1.257 * [backup-simplify]: Simplify (+ 1 0) into 1 1.257 * [backup-simplify]: Simplify (* 0 1) into 0 1.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.259 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.259 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 1.260 * [backup-simplify]: Simplify (sqrt 1) into 1 1.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.261 * [backup-simplify]: Simplify (+ 0 0) into 0 1.264 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 1.265 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 1.266 * [backup-simplify]: Simplify (log 1) into 0 1.266 * [backup-simplify]: Simplify 0 into 0 1.273 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0.5) 1)) (pow 1 1)))) 1) into 0.5 1.273 * [backup-simplify]: Simplify 0.5 into 0.5 1.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.275 * [backup-simplify]: Simplify (+ 0 0) into 0 1.276 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 1.279 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+)) (* 2 1)) into -0.125 1.306 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0.5) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -0.125) 1)) (pow 1 1)))) 2) into -0.25 1.306 * [backup-simplify]: Simplify -0.25 into -0.25 1.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.307 * [backup-simplify]: Simplify (+ 0 0) into 0 1.309 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 1.314 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0.5 -0.125)))) (* 2 1)) into 0.0625 1.341 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0.5) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0.5) 1) (pow (* 2 -0.125) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0.0625) 1)) (pow 1 1)))) 6) into 0.16666666666666666 1.341 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 1.342 * [backup-simplify]: Simplify (+ (* 0.16666666666666666 (pow (/ 1 N) 3)) (+ (* -0.25 (pow (/ 1 N) 2)) (* 0.5 (/ 1 N)))) into (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 0.5 (/ 1 N))) (* 0.25 (/ 1 (pow N 2)))) 1.342 * [backup-simplify]: Simplify (log (/ (sqrt (+ (/ 1 (- N)) 1.0)) (sqrt (/ 1 (- N))))) into (log (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N))))) 1.342 * [approximate]: Taking taylor expansion of (log (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N))))) in (N) around 0 1.342 * [taylor]: Taking taylor expansion of (log (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N))))) in N 1.342 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N)))) in N 1.342 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.342 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.342 * [taylor]: Taking taylor expansion of 1.0 in N 1.342 * [backup-simplify]: Simplify 1.0 into 1.0 1.342 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.343 * [taylor]: Taking taylor expansion of N in N 1.343 * [backup-simplify]: Simplify 0 into 0 1.343 * [backup-simplify]: Simplify 1 into 1 1.343 * [backup-simplify]: Simplify (/ 1 1) into 1 1.344 * [backup-simplify]: Simplify (- 1) into -1 1.344 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.344 * [backup-simplify]: Simplify (sqrt 0) into 0 1.346 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.346 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 1.346 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 1.346 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.346 * [taylor]: Taking taylor expansion of -1 in N 1.346 * [backup-simplify]: Simplify -1 into -1 1.346 * [taylor]: Taking taylor expansion of N in N 1.346 * [backup-simplify]: Simplify 0 into 0 1.346 * [backup-simplify]: Simplify 1 into 1 1.346 * [backup-simplify]: Simplify (/ -1 1) into -1 1.347 * [backup-simplify]: Simplify (sqrt 0) into 0 1.348 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.348 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 1.349 * [backup-simplify]: Simplify (* 0 +nan.0) into 0 1.350 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.352 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.354 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 1.355 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (* +nan.0 +nan.0)) into (- +nan.0) 1.355 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 1.355 * [taylor]: Taking taylor expansion of (log (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N))))) in N 1.355 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N)))) in N 1.355 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.355 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.355 * [taylor]: Taking taylor expansion of 1.0 in N 1.355 * [backup-simplify]: Simplify 1.0 into 1.0 1.356 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.356 * [taylor]: Taking taylor expansion of N in N 1.356 * [backup-simplify]: Simplify 0 into 0 1.356 * [backup-simplify]: Simplify 1 into 1 1.356 * [backup-simplify]: Simplify (/ 1 1) into 1 1.356 * [backup-simplify]: Simplify (- 1) into -1 1.356 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.357 * [backup-simplify]: Simplify (sqrt 0) into 0 1.357 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.357 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 1.357 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 1.358 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.358 * [taylor]: Taking taylor expansion of -1 in N 1.358 * [backup-simplify]: Simplify -1 into -1 1.358 * [taylor]: Taking taylor expansion of N in N 1.358 * [backup-simplify]: Simplify 0 into 0 1.358 * [backup-simplify]: Simplify 1 into 1 1.358 * [backup-simplify]: Simplify (/ -1 1) into -1 1.358 * [backup-simplify]: Simplify (sqrt 0) into 0 1.359 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.359 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 1.360 * [backup-simplify]: Simplify (* 0 +nan.0) into 0 1.360 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.362 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.363 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 1.364 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (* +nan.0 +nan.0)) into (- +nan.0) 1.364 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 1.365 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 1.366 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.368 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.370 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 1.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.371 * [backup-simplify]: Simplify (- 0) into 0 1.371 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.373 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.375 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.0))) into (- +nan.0) 1.380 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 1.380 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.380 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.383 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.386 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 1.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.387 * [backup-simplify]: Simplify (- 0) into 0 1.387 * [backup-simplify]: Simplify (+ 0 0) into 0 1.390 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.394 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.0)))) into (- +nan.0) 1.409 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- +nan.0)) 2)) (pow (- +nan.0) 2))) (* 1 (/ (* 1 (pow (* 2 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 2) into +nan.0 1.409 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.410 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- N)) 2)) (+ (* +nan.0 (/ 1 (- N))) (log (- +nan.0)))) into (- (log (- +nan.0)) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 1.410 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.410 * [backup-simplify]: Simplify (log (/ (sqrt (+ N 1.0)) (sqrt N))) into (log (sqrt (/ (+ N 1.0) N))) 1.410 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in (N) around 0 1.410 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 1.410 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 1.410 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.410 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.410 * [taylor]: Taking taylor expansion of N in N 1.410 * [backup-simplify]: Simplify 0 into 0 1.410 * [backup-simplify]: Simplify 1 into 1 1.410 * [taylor]: Taking taylor expansion of 1.0 in N 1.410 * [backup-simplify]: Simplify 1.0 into 1.0 1.410 * [taylor]: Taking taylor expansion of N in N 1.410 * [backup-simplify]: Simplify 0 into 0 1.410 * [backup-simplify]: Simplify 1 into 1 1.410 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.411 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.411 * [backup-simplify]: Simplify (sqrt 0) into 0 1.412 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 1.412 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 1.412 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1.0) N))) in N 1.412 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 1.412 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.412 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.412 * [taylor]: Taking taylor expansion of N in N 1.412 * [backup-simplify]: Simplify 0 into 0 1.412 * [backup-simplify]: Simplify 1 into 1 1.412 * [taylor]: Taking taylor expansion of 1.0 in N 1.412 * [backup-simplify]: Simplify 1.0 into 1.0 1.412 * [taylor]: Taking taylor expansion of N in N 1.412 * [backup-simplify]: Simplify 0 into 0 1.412 * [backup-simplify]: Simplify 1 into 1 1.413 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.419 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.419 * [backup-simplify]: Simplify (sqrt 0) into 0 1.420 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 1.420 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 1.421 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 1.421 * [backup-simplify]: Simplify (+ 1 0) into 1 1.422 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 1.424 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.427 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 1.427 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.428 * [backup-simplify]: Simplify (+ 0 0) into 0 1.428 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1.431 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.439 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 +nan.0) 2)) (pow +nan.0 2))) (* 1 (/ (* 1 (pow (* 2 +nan.0) 1)) (pow +nan.0 1)))) 2) into +nan.0 1.439 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.439 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 (pow N 2)) (- (* +nan.0 N)))) 1.440 * [backup-simplify]: Simplify (log (/ (sqrt (+ (/ 1 N) 1.0)) (sqrt (/ 1 N)))) into (log (sqrt (* N (+ (/ 1 N) 1.0)))) 1.440 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in (N) around 0 1.440 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 1.440 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 1.440 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.440 * [taylor]: Taking taylor expansion of N in N 1.440 * [backup-simplify]: Simplify 0 into 0 1.440 * [backup-simplify]: Simplify 1 into 1 1.440 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.440 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.440 * [taylor]: Taking taylor expansion of N in N 1.440 * [backup-simplify]: Simplify 0 into 0 1.440 * [backup-simplify]: Simplify 1 into 1 1.440 * [backup-simplify]: Simplify (/ 1 1) into 1 1.440 * [taylor]: Taking taylor expansion of 1.0 in N 1.440 * [backup-simplify]: Simplify 1.0 into 1.0 1.441 * [backup-simplify]: Simplify (+ 1 0) into 1 1.441 * [backup-simplify]: Simplify (* 0 1) into 0 1.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.442 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.443 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 1.443 * [backup-simplify]: Simplify (sqrt 1) into 1 1.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.444 * [backup-simplify]: Simplify (+ 0 0) into 0 1.447 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 1.448 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 1.448 * [backup-simplify]: Simplify (log 1) into 0 1.448 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1.0)))) in N 1.449 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 1.449 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.449 * [taylor]: Taking taylor expansion of N in N 1.449 * [backup-simplify]: Simplify 0 into 0 1.449 * [backup-simplify]: Simplify 1 into 1 1.449 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.449 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.449 * [taylor]: Taking taylor expansion of N in N 1.449 * [backup-simplify]: Simplify 0 into 0 1.449 * [backup-simplify]: Simplify 1 into 1 1.449 * [backup-simplify]: Simplify (/ 1 1) into 1 1.449 * [taylor]: Taking taylor expansion of 1.0 in N 1.449 * [backup-simplify]: Simplify 1.0 into 1.0 1.450 * [backup-simplify]: Simplify (+ 1 0) into 1 1.450 * [backup-simplify]: Simplify (* 0 1) into 0 1.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.451 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.452 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 1.452 * [backup-simplify]: Simplify (sqrt 1) into 1 1.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.453 * [backup-simplify]: Simplify (+ 0 0) into 0 1.456 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 1.457 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 1.457 * [backup-simplify]: Simplify (log 1) into 0 1.457 * [backup-simplify]: Simplify 0 into 0 1.463 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0.5) 1)) (pow 1 1)))) 1) into 0.5 1.463 * [backup-simplify]: Simplify 0.5 into 0.5 1.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.465 * [backup-simplify]: Simplify (+ 0 0) into 0 1.466 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 1.469 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+)) (* 2 1)) into -0.125 1.482 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0.5) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -0.125) 1)) (pow 1 1)))) 2) into -0.25 1.482 * [backup-simplify]: Simplify -0.25 into -0.25 1.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.484 * [backup-simplify]: Simplify (+ 0 0) into 0 1.485 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 1.490 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0.5 -0.125)))) (* 2 1)) into 0.0625 1.521 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0.5) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0.5) 1) (pow (* 2 -0.125) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0.0625) 1)) (pow 1 1)))) 6) into 0.16666666666666666 1.521 * [backup-simplify]: Simplify 0.16666666666666666 into 0.16666666666666666 1.522 * [backup-simplify]: Simplify (+ (* 0.16666666666666666 (pow (/ 1 N) 3)) (+ (* -0.25 (pow (/ 1 N) 2)) (* 0.5 (/ 1 N)))) into (- (+ (* 0.16666666666666666 (/ 1 (pow N 3))) (* 0.5 (/ 1 N))) (* 0.25 (/ 1 (pow N 2)))) 1.522 * [backup-simplify]: Simplify (log (/ (sqrt (+ (/ 1 (- N)) 1.0)) (sqrt (/ 1 (- N))))) into (log (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N))))) 1.522 * [approximate]: Taking taylor expansion of (log (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N))))) in (N) around 0 1.522 * [taylor]: Taking taylor expansion of (log (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N))))) in N 1.522 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N)))) in N 1.522 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.522 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.522 * [taylor]: Taking taylor expansion of 1.0 in N 1.522 * [backup-simplify]: Simplify 1.0 into 1.0 1.522 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.522 * [taylor]: Taking taylor expansion of N in N 1.522 * [backup-simplify]: Simplify 0 into 0 1.522 * [backup-simplify]: Simplify 1 into 1 1.523 * [backup-simplify]: Simplify (/ 1 1) into 1 1.523 * [backup-simplify]: Simplify (- 1) into -1 1.524 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.524 * [backup-simplify]: Simplify (sqrt 0) into 0 1.525 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.525 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 1.525 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 1.525 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.525 * [taylor]: Taking taylor expansion of -1 in N 1.525 * [backup-simplify]: Simplify -1 into -1 1.525 * [taylor]: Taking taylor expansion of N in N 1.525 * [backup-simplify]: Simplify 0 into 0 1.525 * [backup-simplify]: Simplify 1 into 1 1.526 * [backup-simplify]: Simplify (/ -1 1) into -1 1.526 * [backup-simplify]: Simplify (sqrt 0) into 0 1.528 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.528 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 1.528 * [backup-simplify]: Simplify (* 0 +nan.0) into 0 1.529 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.532 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.534 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 1.536 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (* +nan.0 +nan.0)) into (- +nan.0) 1.537 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 1.537 * [taylor]: Taking taylor expansion of (log (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N))))) in N 1.537 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N)))) in N 1.537 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.537 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.537 * [taylor]: Taking taylor expansion of 1.0 in N 1.537 * [backup-simplify]: Simplify 1.0 into 1.0 1.537 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.537 * [taylor]: Taking taylor expansion of N in N 1.537 * [backup-simplify]: Simplify 0 into 0 1.537 * [backup-simplify]: Simplify 1 into 1 1.537 * [backup-simplify]: Simplify (/ 1 1) into 1 1.538 * [backup-simplify]: Simplify (- 1) into -1 1.538 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.539 * [backup-simplify]: Simplify (sqrt 0) into 0 1.540 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.540 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 1.540 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 1.540 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.540 * [taylor]: Taking taylor expansion of -1 in N 1.540 * [backup-simplify]: Simplify -1 into -1 1.540 * [taylor]: Taking taylor expansion of N in N 1.540 * [backup-simplify]: Simplify 0 into 0 1.540 * [backup-simplify]: Simplify 1 into 1 1.541 * [backup-simplify]: Simplify (/ -1 1) into -1 1.541 * [backup-simplify]: Simplify (sqrt 0) into 0 1.542 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.543 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 1.543 * [backup-simplify]: Simplify (* 0 +nan.0) into 0 1.544 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.556 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.559 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 1.561 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (* +nan.0 +nan.0)) into (- +nan.0) 1.561 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 1.562 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 1.564 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.568 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.572 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 1.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.573 * [backup-simplify]: Simplify (- 0) into 0 1.574 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.578 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.582 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.0))) into (- +nan.0) 1.588 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 1.588 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.589 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.593 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.596 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 1.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.597 * [backup-simplify]: Simplify (- 0) into 0 1.598 * [backup-simplify]: Simplify (+ 0 0) into 0 1.600 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.603 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.0)))) into (- +nan.0) 1.614 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- +nan.0)) 2)) (pow (- +nan.0) 2))) (* 1 (/ (* 1 (pow (* 2 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 2) into +nan.0 1.614 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.615 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (/ 1 (- N)) 2)) (+ (* +nan.0 (/ 1 (- N))) (log (- +nan.0)))) into (- (log (- +nan.0)) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 1.615 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 1.615 * [backup-simplify]: Simplify (/ (sqrt (+ N 1.0)) (sqrt N)) into (sqrt (/ (+ N 1.0) N)) 1.615 * [approximate]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in (N) around 0 1.615 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 1.615 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.615 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.615 * [taylor]: Taking taylor expansion of N in N 1.615 * [backup-simplify]: Simplify 0 into 0 1.615 * [backup-simplify]: Simplify 1 into 1 1.615 * [taylor]: Taking taylor expansion of 1.0 in N 1.615 * [backup-simplify]: Simplify 1.0 into 1.0 1.615 * [taylor]: Taking taylor expansion of N in N 1.615 * [backup-simplify]: Simplify 0 into 0 1.615 * [backup-simplify]: Simplify 1 into 1 1.615 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.616 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.616 * [backup-simplify]: Simplify (sqrt 0) into 0 1.617 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 1.617 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 1.617 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.617 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.617 * [taylor]: Taking taylor expansion of N in N 1.617 * [backup-simplify]: Simplify 0 into 0 1.617 * [backup-simplify]: Simplify 1 into 1 1.617 * [taylor]: Taking taylor expansion of 1.0 in N 1.617 * [backup-simplify]: Simplify 1.0 into 1.0 1.617 * [taylor]: Taking taylor expansion of N in N 1.617 * [backup-simplify]: Simplify 0 into 0 1.617 * [backup-simplify]: Simplify 1 into 1 1.617 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.618 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.618 * [backup-simplify]: Simplify (sqrt 0) into 0 1.619 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 1.619 * [backup-simplify]: Simplify 0 into 0 1.619 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.619 * [backup-simplify]: Simplify (+ 1 0) into 1 1.620 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 1.621 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.621 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.622 * [backup-simplify]: Simplify (+ 0 0) into 0 1.622 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1.625 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.625 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.625 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) +nan.0)) into (- (+ (* +nan.0 (pow N 2)) (- (+ (* +nan.0 N) (- +nan.0))))) 1.625 * [backup-simplify]: Simplify (/ (sqrt (+ (/ 1 N) 1.0)) (sqrt (/ 1 N))) into (sqrt (* N (+ (/ 1 N) 1.0))) 1.625 * [approximate]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in (N) around 0 1.625 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 1.625 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.625 * [taylor]: Taking taylor expansion of N in N 1.625 * [backup-simplify]: Simplify 0 into 0 1.625 * [backup-simplify]: Simplify 1 into 1 1.625 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.625 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.625 * [taylor]: Taking taylor expansion of N in N 1.625 * [backup-simplify]: Simplify 0 into 0 1.625 * [backup-simplify]: Simplify 1 into 1 1.626 * [backup-simplify]: Simplify (/ 1 1) into 1 1.626 * [taylor]: Taking taylor expansion of 1.0 in N 1.626 * [backup-simplify]: Simplify 1.0 into 1.0 1.626 * [backup-simplify]: Simplify (+ 1 0) into 1 1.626 * [backup-simplify]: Simplify (* 0 1) into 0 1.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.627 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.627 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 1.628 * [backup-simplify]: Simplify (sqrt 1) into 1 1.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.628 * [backup-simplify]: Simplify (+ 0 0) into 0 1.630 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 1.631 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 1.631 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 1.631 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.631 * [taylor]: Taking taylor expansion of N in N 1.631 * [backup-simplify]: Simplify 0 into 0 1.631 * [backup-simplify]: Simplify 1 into 1 1.631 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.631 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.631 * [taylor]: Taking taylor expansion of N in N 1.631 * [backup-simplify]: Simplify 0 into 0 1.631 * [backup-simplify]: Simplify 1 into 1 1.631 * [backup-simplify]: Simplify (/ 1 1) into 1 1.631 * [taylor]: Taking taylor expansion of 1.0 in N 1.631 * [backup-simplify]: Simplify 1.0 into 1.0 1.632 * [backup-simplify]: Simplify (+ 1 0) into 1 1.632 * [backup-simplify]: Simplify (* 0 1) into 0 1.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.633 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.633 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 1.633 * [backup-simplify]: Simplify (sqrt 1) into 1 1.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.634 * [backup-simplify]: Simplify (+ 0 0) into 0 1.636 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 1.637 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 1.637 * [backup-simplify]: Simplify 1 into 1 1.637 * [backup-simplify]: Simplify 0.5 into 0.5 1.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.638 * [backup-simplify]: Simplify (+ 0 0) into 0 1.638 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 1.640 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+)) (* 2 1)) into -0.125 1.640 * [backup-simplify]: Simplify -0.125 into -0.125 1.641 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 N) 2)) (+ (* 0.5 (/ 1 N)) 1)) into (- (+ (* 0.5 (/ 1 N)) 1) (* 0.125 (/ 1 (pow N 2)))) 1.641 * [backup-simplify]: Simplify (/ (sqrt (+ (/ 1 (- N)) 1.0)) (sqrt (/ 1 (- N)))) into (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N)))) 1.641 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N)))) in (N) around 0 1.641 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N)))) in N 1.641 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.641 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.641 * [taylor]: Taking taylor expansion of 1.0 in N 1.641 * [backup-simplify]: Simplify 1.0 into 1.0 1.641 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.641 * [taylor]: Taking taylor expansion of N in N 1.641 * [backup-simplify]: Simplify 0 into 0 1.641 * [backup-simplify]: Simplify 1 into 1 1.641 * [backup-simplify]: Simplify (/ 1 1) into 1 1.641 * [backup-simplify]: Simplify (- 1) into -1 1.642 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.642 * [backup-simplify]: Simplify (sqrt 0) into 0 1.643 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.643 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 1.643 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 1.643 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.643 * [taylor]: Taking taylor expansion of -1 in N 1.643 * [backup-simplify]: Simplify -1 into -1 1.643 * [taylor]: Taking taylor expansion of N in N 1.643 * [backup-simplify]: Simplify 0 into 0 1.643 * [backup-simplify]: Simplify 1 into 1 1.643 * [backup-simplify]: Simplify (/ -1 1) into -1 1.643 * [backup-simplify]: Simplify (sqrt 0) into 0 1.644 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.645 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 1.645 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N)))) in N 1.645 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.645 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.645 * [taylor]: Taking taylor expansion of 1.0 in N 1.645 * [backup-simplify]: Simplify 1.0 into 1.0 1.645 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.645 * [taylor]: Taking taylor expansion of N in N 1.645 * [backup-simplify]: Simplify 0 into 0 1.645 * [backup-simplify]: Simplify 1 into 1 1.645 * [backup-simplify]: Simplify (/ 1 1) into 1 1.645 * [backup-simplify]: Simplify (- 1) into -1 1.646 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.646 * [backup-simplify]: Simplify (sqrt 0) into 0 1.647 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.647 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 1.647 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 1.647 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.647 * [taylor]: Taking taylor expansion of -1 in N 1.647 * [backup-simplify]: Simplify -1 into -1 1.647 * [taylor]: Taking taylor expansion of N in N 1.647 * [backup-simplify]: Simplify 0 into 0 1.647 * [backup-simplify]: Simplify 1 into 1 1.647 * [backup-simplify]: Simplify (/ -1 1) into -1 1.647 * [backup-simplify]: Simplify (sqrt 0) into 0 1.648 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.649 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 1.649 * [backup-simplify]: Simplify (* 0 +nan.0) into 0 1.649 * [backup-simplify]: Simplify 0 into 0 1.649 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.651 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.653 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 1.654 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (* +nan.0 +nan.0)) into (- +nan.0) 1.654 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.654 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.657 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.669 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 1.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.670 * [backup-simplify]: Simplify (- 0) into 0 1.671 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.677 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.680 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.0))) into (- +nan.0) 1.681 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.682 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.687 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.692 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 1.693 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.694 * [backup-simplify]: Simplify (- 0) into 0 1.694 * [backup-simplify]: Simplify (+ 0 0) into 0 1.698 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.703 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.0)))) into (- +nan.0) 1.704 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.705 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- N)) 2)) (+ (* (- +nan.0) (/ 1 (- N))) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 N)) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- +nan.0))))) 1.705 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 1.706 * [backup-simplify]: Simplify (/ (sqrt (+ N 1.0)) (sqrt N)) into (sqrt (/ (+ N 1.0) N)) 1.706 * [approximate]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in (N) around 0 1.706 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 1.706 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.706 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.706 * [taylor]: Taking taylor expansion of N in N 1.706 * [backup-simplify]: Simplify 0 into 0 1.706 * [backup-simplify]: Simplify 1 into 1 1.706 * [taylor]: Taking taylor expansion of 1.0 in N 1.706 * [backup-simplify]: Simplify 1.0 into 1.0 1.706 * [taylor]: Taking taylor expansion of N in N 1.706 * [backup-simplify]: Simplify 0 into 0 1.706 * [backup-simplify]: Simplify 1 into 1 1.706 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.707 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.707 * [backup-simplify]: Simplify (sqrt 0) into 0 1.709 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 1.709 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1.0) N)) in N 1.709 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 1.709 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 1.709 * [taylor]: Taking taylor expansion of N in N 1.709 * [backup-simplify]: Simplify 0 into 0 1.709 * [backup-simplify]: Simplify 1 into 1 1.709 * [taylor]: Taking taylor expansion of 1.0 in N 1.709 * [backup-simplify]: Simplify 1.0 into 1.0 1.709 * [taylor]: Taking taylor expansion of N in N 1.709 * [backup-simplify]: Simplify 0 into 0 1.709 * [backup-simplify]: Simplify 1 into 1 1.710 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.710 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 1.710 * [backup-simplify]: Simplify (sqrt 0) into 0 1.712 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 0))) into +nan.0 1.712 * [backup-simplify]: Simplify 0 into 0 1.712 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.712 * [backup-simplify]: Simplify (+ 1 0) into 1 1.713 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 1.717 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.717 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.717 * [backup-simplify]: Simplify (+ 0 0) into 0 1.718 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 1.722 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.723 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.723 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) +nan.0)) into (- (+ (* +nan.0 (pow N 2)) (- (+ (* +nan.0 N) (- +nan.0))))) 1.723 * [backup-simplify]: Simplify (/ (sqrt (+ (/ 1 N) 1.0)) (sqrt (/ 1 N))) into (sqrt (* N (+ (/ 1 N) 1.0))) 1.723 * [approximate]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in (N) around 0 1.723 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 1.723 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.723 * [taylor]: Taking taylor expansion of N in N 1.723 * [backup-simplify]: Simplify 0 into 0 1.723 * [backup-simplify]: Simplify 1 into 1 1.723 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.723 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.724 * [taylor]: Taking taylor expansion of N in N 1.724 * [backup-simplify]: Simplify 0 into 0 1.724 * [backup-simplify]: Simplify 1 into 1 1.724 * [backup-simplify]: Simplify (/ 1 1) into 1 1.724 * [taylor]: Taking taylor expansion of 1.0 in N 1.724 * [backup-simplify]: Simplify 1.0 into 1.0 1.725 * [backup-simplify]: Simplify (+ 1 0) into 1 1.725 * [backup-simplify]: Simplify (* 0 1) into 0 1.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.726 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.727 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 1.727 * [backup-simplify]: Simplify (sqrt 1) into 1 1.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.729 * [backup-simplify]: Simplify (+ 0 0) into 0 1.732 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 1.733 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 1.733 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1.0))) in N 1.733 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 1.733 * [taylor]: Taking taylor expansion of N in N 1.733 * [backup-simplify]: Simplify 0 into 0 1.733 * [backup-simplify]: Simplify 1 into 1 1.733 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 1.733 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.733 * [taylor]: Taking taylor expansion of N in N 1.733 * [backup-simplify]: Simplify 0 into 0 1.733 * [backup-simplify]: Simplify 1 into 1 1.734 * [backup-simplify]: Simplify (/ 1 1) into 1 1.734 * [taylor]: Taking taylor expansion of 1.0 in N 1.734 * [backup-simplify]: Simplify 1.0 into 1.0 1.734 * [backup-simplify]: Simplify (+ 1 0) into 1 1.735 * [backup-simplify]: Simplify (* 0 1) into 0 1.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.736 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 1.737 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 1.737 * [backup-simplify]: Simplify (sqrt 1) into 1 1.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.738 * [backup-simplify]: Simplify (+ 0 0) into 0 1.741 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 1.742 * [backup-simplify]: Simplify (/ 1.0 (* 2 (sqrt 1))) into 0.5 1.742 * [backup-simplify]: Simplify 1 into 1 1.742 * [backup-simplify]: Simplify 0.5 into 0.5 1.743 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.743 * [backup-simplify]: Simplify (+ 0 0) into 0 1.744 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 1.747 * [backup-simplify]: Simplify (/ (- 0 (pow 0.5 2) (+)) (* 2 1)) into -0.125 1.747 * [backup-simplify]: Simplify -0.125 into -0.125 1.747 * [backup-simplify]: Simplify (+ (* -0.125 (pow (/ 1 N) 2)) (+ (* 0.5 (/ 1 N)) 1)) into (- (+ (* 0.5 (/ 1 N)) 1) (* 0.125 (/ 1 (pow N 2)))) 1.747 * [backup-simplify]: Simplify (/ (sqrt (+ (/ 1 (- N)) 1.0)) (sqrt (/ 1 (- N)))) into (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N)))) 1.747 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N)))) in (N) around 0 1.747 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N)))) in N 1.747 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.747 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.747 * [taylor]: Taking taylor expansion of 1.0 in N 1.748 * [backup-simplify]: Simplify 1.0 into 1.0 1.748 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.748 * [taylor]: Taking taylor expansion of N in N 1.748 * [backup-simplify]: Simplify 0 into 0 1.748 * [backup-simplify]: Simplify 1 into 1 1.748 * [backup-simplify]: Simplify (/ 1 1) into 1 1.748 * [backup-simplify]: Simplify (- 1) into -1 1.749 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.749 * [backup-simplify]: Simplify (sqrt 0) into 0 1.751 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.751 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 1.751 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 1.751 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.751 * [taylor]: Taking taylor expansion of -1 in N 1.751 * [backup-simplify]: Simplify -1 into -1 1.751 * [taylor]: Taking taylor expansion of N in N 1.751 * [backup-simplify]: Simplify 0 into 0 1.751 * [backup-simplify]: Simplify 1 into 1 1.752 * [backup-simplify]: Simplify (/ -1 1) into -1 1.752 * [backup-simplify]: Simplify (sqrt 0) into 0 1.753 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.754 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 1.754 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (/ 1 N))) (/ 1 (sqrt (/ -1 N)))) in N 1.754 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 N))) in N 1.754 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 1.754 * [taylor]: Taking taylor expansion of 1.0 in N 1.754 * [backup-simplify]: Simplify 1.0 into 1.0 1.754 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.754 * [taylor]: Taking taylor expansion of N in N 1.754 * [backup-simplify]: Simplify 0 into 0 1.754 * [backup-simplify]: Simplify 1 into 1 1.754 * [backup-simplify]: Simplify (/ 1 1) into 1 1.755 * [backup-simplify]: Simplify (- 1) into -1 1.755 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.755 * [backup-simplify]: Simplify (sqrt 0) into 0 1.756 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.757 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 1.757 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 1.757 * [taylor]: Taking taylor expansion of (/ -1 N) in N 1.757 * [taylor]: Taking taylor expansion of -1 in N 1.757 * [backup-simplify]: Simplify -1 into -1 1.757 * [taylor]: Taking taylor expansion of N in N 1.757 * [backup-simplify]: Simplify 0 into 0 1.757 * [backup-simplify]: Simplify 1 into 1 1.757 * [backup-simplify]: Simplify (/ -1 1) into -1 1.757 * [backup-simplify]: Simplify (sqrt 0) into 0 1.758 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1.759 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 1.759 * [backup-simplify]: Simplify (* 0 +nan.0) into 0 1.759 * [backup-simplify]: Simplify 0 into 0 1.760 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.763 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.764 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 1.766 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (* +nan.0 +nan.0)) into (- +nan.0) 1.766 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.767 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.770 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.774 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 1.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.775 * [backup-simplify]: Simplify (- 0) into 0 1.775 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 1.778 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.780 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.0))) into (- +nan.0) 1.781 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.782 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.786 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.791 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 1.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.792 * [backup-simplify]: Simplify (- 0) into 0 1.792 * [backup-simplify]: Simplify (+ 0 0) into 0 1.796 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.801 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.0)))) into (- +nan.0) 1.801 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.803 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- N)) 2)) (+ (* (- +nan.0) (/ 1 (- N))) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 N)) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- +nan.0))))) 1.803 * * * [progress]: simplifying candidates 1.815 * [simplify]: Simplifying: (log (* (cbrt (/ (sqrt (+ N 1.0)) (sqrt N))) (cbrt (/ (sqrt (+ N 1.0)) (sqrt N))))) (log (cbrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (sqrt (/ (sqrt (+ N 1.0)) (sqrt N)))) (log (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (* (cbrt (sqrt N)) (cbrt (sqrt N))))) (log (/ (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt N)))) (log (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (sqrt (* (cbrt N) (cbrt N))))) (log (/ (cbrt (sqrt (+ N 1.0))) (sqrt (cbrt N)))) (log (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (sqrt (sqrt N)))) (log (/ (cbrt (sqrt (+ N 1.0))) (sqrt (sqrt N)))) (log (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (sqrt 1))) (log (/ (cbrt (sqrt (+ N 1.0))) (sqrt N))) (log (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) (sqrt (sqrt N)))) (log (/ (cbrt (sqrt (+ N 1.0))) (sqrt (sqrt N)))) (log (/ (* (cbrt (sqrt (+ N 1.0))) (cbrt (sqrt (+ N 1.0)))) 1)) (log (/ (cbrt (sqrt (+ N 1.0))) (sqrt N))) (log (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (* (cbrt (sqrt N)) (cbrt (sqrt N))))) (log (/ (sqrt (cbrt (+ N 1.0))) (cbrt (sqrt N)))) (log (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (sqrt (* (cbrt N) (cbrt N))))) (log (/ (sqrt (cbrt (+ N 1.0))) (sqrt (cbrt N)))) (log (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (sqrt (sqrt N)))) (log (/ (sqrt (cbrt (+ N 1.0))) (sqrt (sqrt N)))) (log (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (sqrt 1))) (log (/ (sqrt (cbrt (+ N 1.0))) (sqrt N))) (log (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (sqrt (sqrt N)))) (log (/ (sqrt (cbrt (+ N 1.0))) (sqrt (sqrt N)))) (log (/ (sqrt (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) 1)) (log (/ (sqrt (cbrt (+ N 1.0))) (sqrt N))) (log (/ (sqrt (sqrt (+ N 1.0))) (* (cbrt (sqrt N)) (cbrt (sqrt N))))) (log (/ (sqrt (sqrt (+ N 1.0))) (cbrt (sqrt N)))) (log (/ (sqrt (sqrt (+ N 1.0))) (sqrt (* (cbrt N) (cbrt N))))) (log (/ (sqrt (sqrt (+ N 1.0))) (sqrt (cbrt N)))) (log (/ (sqrt (sqrt (+ N 1.0))) (sqrt (sqrt N)))) (log (/ (sqrt (sqrt (+ N 1.0))) (sqrt (sqrt N)))) (log (/ (sqrt (sqrt (+ N 1.0))) (sqrt 1))) (log (/ (sqrt (sqrt (+ N 1.0))) (sqrt N))) (log (/ (sqrt (sqrt (+ N 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(* (sqrt h0) (sqrt h0)) (sqrt h0))) (* (cbrt (/ (sqrt (+ h0 1.0)) (sqrt h0))) (cbrt (/ (sqrt (+ h0 1.0)) (sqrt h0)))) (cbrt (/ (sqrt (+ h0 1.0)) (sqrt h0))) (* (* (/ (sqrt (+ h0 1.0)) (sqrt h0)) (/ (sqrt (+ h0 1.0)) (sqrt h0))) (/ (sqrt (+ h0 1.0)) (sqrt h0))) (/ (+ h0 1.0) h0) (sqrt (/ (sqrt (+ h0 1.0)) (sqrt h0))) (sqrt (/ (sqrt (+ h0 1.0)) (sqrt h0))) (- (sqrt (+ h0 1.0))) (- (sqrt h0)) (/ (* (cbrt (sqrt (+ h0 1.0))) (cbrt (sqrt (+ h0 1.0)))) (* (cbrt (sqrt h0)) (cbrt (sqrt h0)))) (/ (cbrt (sqrt (+ h0 1.0))) (cbrt (sqrt h0))) (/ (* (cbrt (sqrt (+ h0 1.0))) (cbrt (sqrt (+ h0 1.0)))) (sqrt (* (cbrt h0) (cbrt h0)))) (/ (cbrt (sqrt (+ h0 1.0))) (sqrt (cbrt h0))) (/ (* (cbrt (sqrt (+ h0 1.0))) (cbrt (sqrt (+ h0 1.0)))) (sqrt (sqrt h0))) (/ (cbrt (sqrt (+ h0 1.0))) (sqrt (sqrt h0))) (/ (* (cbrt (sqrt (+ h0 1.0))) (cbrt (sqrt (+ h0 1.0)))) (sqrt 1)) (/ (cbrt (sqrt (+ h0 1.0))) (sqrt h0)) (/ (* (cbrt (sqrt (+ h0 1.0))) (cbrt (sqrt (+ h0 1.0)))) (sqrt (sqrt h0))) (/ (cbrt (sqrt (+ h0 1.0))) (sqrt (sqrt h0))) (/ (* (cbrt (sqrt (+ h0 1.0))) (cbrt (sqrt (+ h0 1.0)))) 1) (/ (cbrt (sqrt (+ h0 1.0))) (sqrt h0)) (/ (sqrt (* (cbrt (+ h0 1.0)) (cbrt (+ h0 1.0)))) (* (cbrt (sqrt h0)) (cbrt (sqrt h0)))) (/ (sqrt (cbrt (+ h0 1.0))) (cbrt (sqrt h0))) (/ (sqrt (* (cbrt (+ h0 1.0)) (cbrt (+ h0 1.0)))) (sqrt (* (cbrt h0) (cbrt h0)))) (/ (sqrt (cbrt (+ h0 1.0))) (sqrt (cbrt h0))) (/ (sqrt (* (cbrt (+ h0 1.0)) (cbrt (+ h0 1.0)))) (sqrt (sqrt h0))) (/ (sqrt (cbrt (+ h0 1.0))) (sqrt (sqrt h0))) (/ (sqrt (* (cbrt (+ h0 1.0)) (cbrt (+ h0 1.0)))) (sqrt 1)) (/ (sqrt (cbrt (+ h0 1.0))) (sqrt h0)) (/ (sqrt (* (cbrt (+ h0 1.0)) (cbrt (+ h0 1.0)))) (sqrt (sqrt h0))) (/ (sqrt (cbrt (+ h0 1.0))) (sqrt (sqrt h0))) (/ (sqrt (* (cbrt (+ h0 1.0)) (cbrt (+ h0 1.0)))) 1) (/ (sqrt (cbrt (+ h0 1.0))) (sqrt h0)) (/ (sqrt (sqrt (+ h0 1.0))) (* (cbrt (sqrt h0)) (cbrt (sqrt h0)))) (/ (sqrt (sqrt (+ h0 1.0))) (cbrt (sqrt h0))) (/ (sqrt (sqrt (+ h0 1.0))) (sqrt (* (cbrt h0) (cbrt h0)))) (/ (sqrt (sqrt (+ h0 1.0))) (sqrt (cbrt h0))) (/ (sqrt (sqrt (+ h0 1.0))) (sqrt (sqrt h0))) (/ (sqrt (sqrt (+ h0 1.0))) (sqrt (sqrt h0))) (/ (sqrt (sqrt (+ h0 1.0))) (sqrt 1)) (/ (sqrt (sqrt (+ h0 1.0))) (sqrt h0)) (/ (sqrt (sqrt (+ h0 1.0))) (sqrt (sqrt h0))) (/ (sqrt (sqrt (+ h0 1.0))) (sqrt (sqrt h0))) (/ (sqrt (sqrt (+ h0 1.0))) 1) (/ (sqrt (sqrt (+ h0 1.0))) (sqrt h0)) (/ (sqrt 1) (* (cbrt (sqrt h0)) (cbrt (sqrt h0)))) (/ (sqrt (+ h0 1.0)) (cbrt (sqrt h0))) (/ (sqrt 1) (sqrt (* (cbrt h0) (cbrt h0)))) (/ (sqrt (+ h0 1.0)) (sqrt (cbrt h0))) (/ (sqrt 1) (sqrt (sqrt h0))) (/ (sqrt (+ h0 1.0)) (sqrt (sqrt h0))) (/ (sqrt 1) (sqrt 1)) (/ (sqrt (+ h0 1.0)) (sqrt h0)) (/ (sqrt 1) (sqrt (sqrt h0))) (/ (sqrt (+ h0 1.0)) (sqrt (sqrt h0))) (/ (sqrt 1) 1) (/ (sqrt (+ h0 1.0)) (sqrt h0)) (/ (sqrt 1) (* (cbrt (sqrt h0)) (cbrt (sqrt h0)))) (/ (sqrt (+ h0 1.0)) (cbrt (sqrt h0))) (/ (sqrt 1) (sqrt (* (cbrt h0) (cbrt h0)))) (/ (sqrt (+ h0 1.0)) (sqrt (cbrt h0))) (/ (sqrt 1) (sqrt (sqrt h0))) (/ (sqrt (+ h0 1.0)) (sqrt (sqrt h0))) (/ (sqrt 1) (sqrt 1)) (/ (sqrt (+ h0 1.0)) (sqrt h0)) (/ (sqrt 1) (sqrt (sqrt h0))) (/ (sqrt (+ h0 1.0)) (sqrt (sqrt h0))) (/ (sqrt 1) 1) (/ (sqrt (+ h0 1.0)) (sqrt h0)) (/ (sqrt (sqrt (+ h0 1.0))) (* (cbrt (sqrt h0)) (cbrt (sqrt h0)))) (/ (sqrt (sqrt (+ h0 1.0))) (cbrt (sqrt h0))) (/ (sqrt (sqrt (+ h0 1.0))) (sqrt (* (cbrt h0) (cbrt h0)))) (/ (sqrt (sqrt (+ h0 1.0))) (sqrt (cbrt h0))) (/ (sqrt (sqrt (+ h0 1.0))) (sqrt (sqrt h0))) (/ (sqrt (sqrt (+ h0 1.0))) (sqrt (sqrt h0))) (/ (sqrt (sqrt (+ h0 1.0))) (sqrt 1)) (/ (sqrt (sqrt (+ h0 1.0))) (sqrt h0)) (/ (sqrt (sqrt (+ h0 1.0))) (sqrt (sqrt h0))) (/ (sqrt (sqrt (+ h0 1.0))) (sqrt (sqrt h0))) (/ (sqrt (sqrt (+ h0 1.0))) 1) (/ (sqrt (sqrt (+ h0 1.0))) (sqrt h0)) (/ 1 (* (cbrt (sqrt h0)) (cbrt (sqrt h0)))) (/ (sqrt (+ h0 1.0)) (cbrt (sqrt h0))) (/ 1 (sqrt (* (cbrt h0) (cbrt h0)))) (/ (sqrt (+ h0 1.0)) (sqrt (cbrt h0))) (/ 1 (sqrt (sqrt h0))) (/ (sqrt (+ h0 1.0)) (sqrt (sqrt h0))) (/ 1 (sqrt 1)) (/ (sqrt (+ h0 1.0)) (sqrt h0)) (/ 1 (sqrt (sqrt h0))) (/ (sqrt (+ h0 1.0)) (sqrt (sqrt h0))) (/ 1 1) (/ (sqrt (+ h0 1.0)) (sqrt h0)) (/ 1 (sqrt h0)) (/ (sqrt h0) (sqrt (+ h0 1.0))) (/ (sqrt (+ h0 1.0)) (* (cbrt (sqrt h0)) (cbrt (sqrt h0)))) (/ (sqrt (+ h0 1.0)) (sqrt (* (cbrt h0) (cbrt h0)))) (/ (sqrt (+ h0 1.0)) (sqrt (sqrt h0))) (/ (sqrt (+ h0 1.0)) (sqrt 1)) (/ (sqrt (+ h0 1.0)) (sqrt (sqrt h0))) (/ (sqrt (+ h0 1.0)) 1) (/ (sqrt h0) (cbrt (sqrt (+ h0 1.0)))) (/ (sqrt h0) (sqrt (cbrt (+ h0 1.0)))) (/ (sqrt h0) (sqrt (sqrt (+ h0 1.0)))) (/ (sqrt h0) (sqrt (+ h0 1.0))) (/ (sqrt h0) (sqrt (+ h0 1.0))) (/ (sqrt h0) (sqrt (sqrt (+ h0 1.0)))) (/ (sqrt h0) (sqrt (+ h0 1.0))) (* (sqrt h0) (sqrt (+ (* h0 h0) (- (* 1.0 1.0) (* h0 1.0))))) (* (sqrt h0) (sqrt (- h0 1.0))) (- (log h1) (+ (* h1 (pow h0 2)) (- (* h1 h0)))) (- (+ (* (/ 6004799503160661.0 3.602879701896397e+16) (/ 1 (pow h0 3))) (* (/ 1.0 2.0) (/ 1 h0))) (* (/ 1.0 4.0) (/ 1 (pow h0 2)))) (- (log (- h1)) (+ (* h1 (/ 1 (pow h0 2))) (- (* h1 (/ 1 h0))))) (- (log h1) (+ (* h1 (pow h0 2)) (- (* h1 h0)))) (- (+ (* (/ 6004799503160661.0 3.602879701896397e+16) (/ 1 (pow h0 3))) (* (/ 1.0 2.0) (/ 1 h0))) (* (/ 1.0 4.0) (/ 1 (pow h0 2)))) (- (log (- h1)) (+ (* h1 (/ 1 (pow h0 2))) (- (* h1 (/ 1 h0))))) (- (+ (* h1 (pow h0 2)) (- (+ (* h1 h0) (- h1))))) (- (+ (* (/ 1.0 2.0) (/ 1 h0)) 1) (* (/ 1.0 8.0) (/ 1 (pow h0 2)))) (- (+ (* h1 (/ 1 h0)) (- (+ (* h1 (/ 1 (pow h0 2))) (- h1))))) (- (+ (* h1 (pow h0 2)) (- (+ (* h1 h0) (- h1))))) (- (+ (* (/ 1.0 2.0) (/ 1 h0)) 1) (* (/ 1.0 8.0) (/ 1 (pow h0 2)))) (- (+ (* h1 (/ 1 h0)) (- (+ (* h1 (/ 1 (pow h0 2))) (- h1))))) 1.887 * * * [progress]: adding candidates to table 2.746 * * [progress]: iteration 4 / 4 2.746 * * * [progress]: picking best candidate 2.750 * * * * [pick]: Picked # 2.750 * * * [progress]: localizing error 2.763 * * * [progress]: generating rewritten candidates 2.763 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 2.823 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 2.828 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 2.829 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2 1) 2.831 * * * [progress]: generating series expansions 2.831 * * * * [progress]: [ 1 / 4 ] generating series at (2) 2.832 * [backup-simplify]: Simplify (- (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log (cbrt N))) into (- (log (+ N 1.0)) (* 3 (log (pow N 1/3)))) 2.832 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (* 3 (log (pow N 1/3)))) in (N) around 0 2.832 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (* 3 (log (pow N 1/3)))) in N 2.832 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 2.832 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.832 * [taylor]: Taking taylor expansion of N in N 2.832 * [backup-simplify]: Simplify 0 into 0 2.832 * [backup-simplify]: Simplify 1 into 1 2.832 * [taylor]: Taking taylor expansion of 1.0 in N 2.832 * [backup-simplify]: Simplify 1.0 into 1.0 2.832 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.833 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 2.833 * [taylor]: Taking taylor expansion of (* 3 (log (pow N 1/3))) in N 2.833 * [taylor]: Taking taylor expansion of 3 in N 2.833 * [backup-simplify]: Simplify 3 into 3 2.833 * [taylor]: Taking taylor expansion of (log (pow N 1/3)) in N 2.833 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 2.833 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 2.833 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 2.833 * [taylor]: Taking taylor expansion of 1/3 in N 2.833 * [backup-simplify]: Simplify 1/3 into 1/3 2.833 * [taylor]: Taking taylor expansion of (log N) in N 2.833 * [taylor]: Taking taylor expansion of N in N 2.833 * [backup-simplify]: Simplify 0 into 0 2.833 * [backup-simplify]: Simplify 1 into 1 2.833 * [backup-simplify]: Simplify (log 1) into 0 2.834 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.834 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 2.834 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 2.834 * [backup-simplify]: Simplify (log (pow N 1/3)) into (log (pow N 1/3)) 2.834 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (* 3 (log (pow N 1/3)))) in N 2.834 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 2.834 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.834 * [taylor]: Taking taylor expansion of N in N 2.834 * [backup-simplify]: Simplify 0 into 0 2.834 * [backup-simplify]: Simplify 1 into 1 2.834 * [taylor]: Taking taylor expansion of 1.0 in N 2.834 * [backup-simplify]: Simplify 1.0 into 1.0 2.834 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.835 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 2.835 * [taylor]: Taking taylor expansion of (* 3 (log (pow N 1/3))) in N 2.835 * [taylor]: Taking taylor expansion of 3 in N 2.835 * [backup-simplify]: Simplify 3 into 3 2.835 * [taylor]: Taking taylor expansion of (log (pow N 1/3)) in N 2.835 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 2.835 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 2.835 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 2.835 * [taylor]: Taking taylor expansion of 1/3 in N 2.835 * [backup-simplify]: Simplify 1/3 into 1/3 2.835 * [taylor]: Taking taylor expansion of (log N) in N 2.835 * [taylor]: Taking taylor expansion of N in N 2.835 * [backup-simplify]: Simplify 0 into 0 2.835 * [backup-simplify]: Simplify 1 into 1 2.835 * [backup-simplify]: Simplify (log 1) into 0 2.836 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.836 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 2.836 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 2.836 * [backup-simplify]: Simplify (log (pow N 1/3)) into (log (pow N 1/3)) 2.836 * [backup-simplify]: Simplify (* 3 (log (pow N 1/3))) into (* 3 (log (pow N 1/3))) 2.836 * [backup-simplify]: Simplify (- (* 3 (log (pow N 1/3)))) into (- (* 3 (log (pow N 1/3)))) 2.837 * [backup-simplify]: Simplify (+ (log 1.0) (- (* 3 (log (pow N 1/3))))) into (- (log 1.0) (* 3 (log (pow N 1/3)))) 2.837 * [backup-simplify]: Simplify (- (log 1.0) (* 3 (log (pow N 1/3)))) into (- (log 1.0) (* 3 (log (pow N 1/3)))) 2.837 * [backup-simplify]: Simplify (+ 1 0) into 1 2.841 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 2.842 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.842 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.843 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 2.844 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 2.844 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow N 1/3) 1)))) 1) into 0 2.845 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (log (pow N 1/3)))) into 0 2.845 * [backup-simplify]: Simplify (- 0) into 0 2.845 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.845 * [backup-simplify]: Simplify 1.0 into 1.0 2.846 * [backup-simplify]: Simplify (+ 0 0) into 0 2.852 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 2.854 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 2.855 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 2.855 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 2.856 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.858 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow N 1/3) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow N 1/3) 1)))) 2) into 0 2.858 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (pow N 1/3))))) into 0 2.859 * [backup-simplify]: Simplify (- 0) into 0 2.860 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 2.868 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 2.871 * [backup-simplify]: Simplify (+ (* (- (* 1/2 (/ 1 (pow 1.0 2)))) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (* 3 (log (pow N 1/3)))))) into (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (* 3 (log (pow N 1/3))))) 2.871 * [backup-simplify]: Simplify (- (- (log (+ (/ 1 N) 1.0)) (* 2 (log (cbrt (/ 1 N))))) (log (cbrt (/ 1 N)))) into (- (log (+ (/ 1 N) 1.0)) (* 3 (log (pow (/ 1 N) 1/3)))) 2.871 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (* 3 (log (pow (/ 1 N) 1/3)))) in (N) around 0 2.871 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (* 3 (log (pow (/ 1 N) 1/3)))) in N 2.871 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 2.871 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.872 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.872 * [taylor]: Taking taylor expansion of N in N 2.872 * [backup-simplify]: Simplify 0 into 0 2.872 * [backup-simplify]: Simplify 1 into 1 2.874 * [backup-simplify]: Simplify (/ 1 1) into 1 2.874 * [taylor]: Taking taylor expansion of 1.0 in N 2.874 * [backup-simplify]: Simplify 1.0 into 1.0 2.874 * [backup-simplify]: Simplify (+ 1 0) into 1 2.874 * [backup-simplify]: Simplify (log 1) into 0 2.874 * [taylor]: Taking taylor expansion of (* 3 (log (pow (/ 1 N) 1/3))) in N 2.874 * [taylor]: Taking taylor expansion of 3 in N 2.874 * [backup-simplify]: Simplify 3 into 3 2.875 * [taylor]: Taking taylor expansion of (log (pow (/ 1 N) 1/3)) in N 2.875 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 2.875 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 2.875 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 2.875 * [taylor]: Taking taylor expansion of 1/3 in N 2.875 * [backup-simplify]: Simplify 1/3 into 1/3 2.875 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.875 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.875 * [taylor]: Taking taylor expansion of N in N 2.875 * [backup-simplify]: Simplify 0 into 0 2.875 * [backup-simplify]: Simplify 1 into 1 2.875 * [backup-simplify]: Simplify (/ 1 1) into 1 2.875 * [backup-simplify]: Simplify (log 1) into 0 2.876 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.876 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 2.876 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 2.876 * [backup-simplify]: Simplify (log (pow N -1/3)) into (log (pow N -1/3)) 2.876 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (* 3 (log (pow (/ 1 N) 1/3)))) in N 2.876 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 2.876 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.876 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.876 * [taylor]: Taking taylor expansion of N in N 2.876 * [backup-simplify]: Simplify 0 into 0 2.876 * [backup-simplify]: Simplify 1 into 1 2.876 * [backup-simplify]: Simplify (/ 1 1) into 1 2.876 * [taylor]: Taking taylor expansion of 1.0 in N 2.876 * [backup-simplify]: Simplify 1.0 into 1.0 2.877 * [backup-simplify]: Simplify (+ 1 0) into 1 2.877 * [backup-simplify]: Simplify (log 1) into 0 2.877 * [taylor]: Taking taylor expansion of (* 3 (log (pow (/ 1 N) 1/3))) in N 2.877 * [taylor]: Taking taylor expansion of 3 in N 2.877 * [backup-simplify]: Simplify 3 into 3 2.877 * [taylor]: Taking taylor expansion of (log (pow (/ 1 N) 1/3)) in N 2.877 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 2.877 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 2.877 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 2.877 * [taylor]: Taking taylor expansion of 1/3 in N 2.877 * [backup-simplify]: Simplify 1/3 into 1/3 2.877 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.877 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.877 * [taylor]: Taking taylor expansion of N in N 2.877 * [backup-simplify]: Simplify 0 into 0 2.877 * [backup-simplify]: Simplify 1 into 1 2.878 * [backup-simplify]: Simplify (/ 1 1) into 1 2.878 * [backup-simplify]: Simplify (log 1) into 0 2.878 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.878 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 2.878 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 2.879 * [backup-simplify]: Simplify (log (pow N -1/3)) into (log (pow N -1/3)) 2.879 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.879 * [backup-simplify]: Simplify (* 3 (log (pow N -1/3))) into (* 3 (log (pow N -1/3))) 2.879 * [backup-simplify]: Simplify (- (* 3 (log (pow N -1/3)))) into (- (* 3 (log (pow N -1/3)))) 2.879 * [backup-simplify]: Simplify (+ (- (log N)) (- (* 3 (log (pow N -1/3))))) into (- (+ (* 3 (log (pow N -1/3))) (log N))) 2.880 * [backup-simplify]: Simplify (- (+ (* 3 (log (pow N -1/3))) (log N))) into (- (+ (* 3 (log (pow N -1/3))) (log N))) 2.880 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.881 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.884 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 2.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.886 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.886 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.886 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 2.887 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 2.888 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow N -1/3) 1)))) 1) into 0 2.888 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (log (pow N -1/3)))) into 0 2.888 * [backup-simplify]: Simplify (- 0) into 0 2.888 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.888 * [backup-simplify]: Simplify 1.0 into 1.0 2.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.889 * [backup-simplify]: Simplify (+ 0 0) into 0 2.896 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 2.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.900 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 2.901 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.901 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 2.903 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.905 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow N -1/3) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow N -1/3) 1)))) 2) into 0 2.905 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (pow N -1/3))))) into 0 2.906 * [backup-simplify]: Simplify (- 0) into 0 2.906 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 2.907 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 2.908 * [backup-simplify]: Simplify (+ (* (- 0.5) (pow (/ 1 N) 2)) (+ (* 1.0 (/ 1 N)) (- (+ (* 3 (log (pow (/ 1 N) -1/3))) (log (/ 1 N)))))) into (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (+ (* 3 (log (pow (/ 1 N) -1/3))) (log (/ 1 N))))) 2.908 * [backup-simplify]: Simplify (- (- (log (+ (/ 1 (- N)) 1.0)) (* 2 (log (cbrt (/ 1 (- N)))))) (log (cbrt (/ 1 (- N))))) into (- (log (- 1.0 (/ 1 N))) (* 3 (log (* (cbrt -1) (pow (/ 1 N) 1/3))))) 2.908 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (* 3 (log (* (cbrt -1) (pow (/ 1 N) 1/3))))) in (N) around 0 2.908 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (* 3 (log (* (cbrt -1) (pow (/ 1 N) 1/3))))) in N 2.908 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 2.908 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.908 * [taylor]: Taking taylor expansion of 1.0 in N 2.908 * [backup-simplify]: Simplify 1.0 into 1.0 2.908 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.908 * [taylor]: Taking taylor expansion of N in N 2.908 * [backup-simplify]: Simplify 0 into 0 2.908 * [backup-simplify]: Simplify 1 into 1 2.909 * [backup-simplify]: Simplify (/ 1 1) into 1 2.909 * [backup-simplify]: Simplify (- 1) into -1 2.910 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.910 * [backup-simplify]: Simplify (log -1) into (log -1) 2.910 * [taylor]: Taking taylor expansion of (* 3 (log (* (cbrt -1) (pow (/ 1 N) 1/3)))) in N 2.910 * [taylor]: Taking taylor expansion of 3 in N 2.910 * [backup-simplify]: Simplify 3 into 3 2.910 * [taylor]: Taking taylor expansion of (log (* (cbrt -1) (pow (/ 1 N) 1/3))) in N 2.910 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 2.910 * [taylor]: Taking taylor expansion of (cbrt -1) in N 2.910 * [taylor]: Taking taylor expansion of -1 in N 2.910 * [backup-simplify]: Simplify -1 into -1 2.911 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.912 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.912 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 2.912 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 2.912 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 2.912 * [taylor]: Taking taylor expansion of 1/3 in N 2.912 * [backup-simplify]: Simplify 1/3 into 1/3 2.912 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.912 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.912 * [taylor]: Taking taylor expansion of N in N 2.912 * [backup-simplify]: Simplify 0 into 0 2.912 * [backup-simplify]: Simplify 1 into 1 2.912 * [backup-simplify]: Simplify (/ 1 1) into 1 2.912 * [backup-simplify]: Simplify (log 1) into 0 2.914 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.914 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 2.914 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 2.915 * [backup-simplify]: Simplify (* (cbrt -1) (pow N -1/3)) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 2.915 * [backup-simplify]: Simplify (log (* (cbrt -1) (pow (/ 1 N) 1/3))) into (log (* (cbrt -1) (pow (/ 1 N) 1/3))) 2.915 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (* 3 (log (* (cbrt -1) (pow (/ 1 N) 1/3))))) in N 2.915 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 2.915 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.915 * [taylor]: Taking taylor expansion of 1.0 in N 2.915 * [backup-simplify]: Simplify 1.0 into 1.0 2.915 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.916 * [taylor]: Taking taylor expansion of N in N 2.916 * [backup-simplify]: Simplify 0 into 0 2.916 * [backup-simplify]: Simplify 1 into 1 2.916 * [backup-simplify]: Simplify (/ 1 1) into 1 2.916 * [backup-simplify]: Simplify (- 1) into -1 2.917 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.917 * [backup-simplify]: Simplify (log -1) into (log -1) 2.917 * [taylor]: Taking taylor expansion of (* 3 (log (* (cbrt -1) (pow (/ 1 N) 1/3)))) in N 2.917 * [taylor]: Taking taylor expansion of 3 in N 2.917 * [backup-simplify]: Simplify 3 into 3 2.917 * [taylor]: Taking taylor expansion of (log (* (cbrt -1) (pow (/ 1 N) 1/3))) in N 2.917 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 2.917 * [taylor]: Taking taylor expansion of (cbrt -1) in N 2.917 * [taylor]: Taking taylor expansion of -1 in N 2.917 * [backup-simplify]: Simplify -1 into -1 2.918 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 2.918 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 2.918 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 2.918 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 2.918 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 2.918 * [taylor]: Taking taylor expansion of 1/3 in N 2.918 * [backup-simplify]: Simplify 1/3 into 1/3 2.918 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 2.918 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.918 * [taylor]: Taking taylor expansion of N in N 2.918 * [backup-simplify]: Simplify 0 into 0 2.918 * [backup-simplify]: Simplify 1 into 1 2.919 * [backup-simplify]: Simplify (/ 1 1) into 1 2.919 * [backup-simplify]: Simplify (log 1) into 0 2.920 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.920 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 2.920 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 2.920 * [backup-simplify]: Simplify (* (cbrt -1) (pow N -1/3)) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 2.921 * [backup-simplify]: Simplify (log (* (cbrt -1) (pow (/ 1 N) 1/3))) into (log (* (cbrt -1) (pow (/ 1 N) 1/3))) 2.922 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 2.922 * [backup-simplify]: Simplify (* 3 (log (* (cbrt -1) (pow (/ 1 N) 1/3)))) into (* 3 (log (* (cbrt -1) (pow (/ 1 N) 1/3)))) 2.923 * [backup-simplify]: Simplify (- (* 3 (log (* (cbrt -1) (pow (/ 1 N) 1/3))))) into (- (* 3 (log (* (cbrt -1) (pow (/ 1 N) 1/3))))) 2.925 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (* 3 (log (* (cbrt -1) (pow (/ 1 N) 1/3)))))) into (- (log -1) (+ (* 3 (log (* (cbrt -1) (pow (/ 1 N) 1/3)))) (log N))) 2.926 * [backup-simplify]: Simplify (- (log -1) (+ (* 3 (log (* (cbrt -1) (pow (/ 1 N) 1/3)))) (log N))) into (- (log -1) (+ (* 3 (log (* (cbrt -1) (pow (/ 1 N) 1/3)))) (log N))) 2.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.927 * [backup-simplify]: Simplify (- 0) into 0 2.928 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.935 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 2.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.937 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.938 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.939 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 2.940 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 2.940 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow N -1/3))) into 0 2.942 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* (cbrt -1) (pow (/ 1 N) 1/3)) 1)))) 1) into 0 2.943 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (log (* (cbrt -1) (pow (/ 1 N) 1/3))))) into 0 2.943 * [backup-simplify]: Simplify (- 0) into 0 2.944 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 2.944 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 2.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.946 * [backup-simplify]: Simplify (- 0) into 0 2.946 * [backup-simplify]: Simplify (+ 0 0) into 0 2.955 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 2.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.957 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 2.957 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.958 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 2.959 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.960 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 2.960 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow N -1/3)))) into 0 2.962 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* (cbrt -1) (pow (/ 1 N) 1/3)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* (cbrt -1) (pow (/ 1 N) 1/3)) 1)))) 2) into 0 2.963 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (log (* (cbrt -1) (pow (/ 1 N) 1/3)))))) into 0 2.963 * [backup-simplify]: Simplify (- 0) into 0 2.964 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 2.964 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 2.965 * [backup-simplify]: Simplify (+ (* (- 0.5) (pow (/ 1 (- N)) 2)) (+ (* (- 1.0) (/ 1 (- N))) (- (log -1) (+ (* 3 (log (* (cbrt -1) (pow (/ 1 (/ 1 (- N))) 1/3)))) (log (/ 1 (- N))))))) into (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (+ (log (/ -1 N)) (* 3 (log (* (pow (* -1 N) 1/3) (cbrt -1))))))) 2.965 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 2.965 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 2.965 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 2.965 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 2.965 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.965 * [taylor]: Taking taylor expansion of N in N 2.966 * [backup-simplify]: Simplify 0 into 0 2.966 * [backup-simplify]: Simplify 1 into 1 2.966 * [taylor]: Taking taylor expansion of 1.0 in N 2.966 * [backup-simplify]: Simplify 1.0 into 1.0 2.966 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.966 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 2.966 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 2.966 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.966 * [taylor]: Taking taylor expansion of N in N 2.966 * [backup-simplify]: Simplify 0 into 0 2.966 * [backup-simplify]: Simplify 1 into 1 2.966 * [taylor]: Taking taylor expansion of 1.0 in N 2.966 * [backup-simplify]: Simplify 1.0 into 1.0 2.967 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.967 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 2.967 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 2.967 * [backup-simplify]: Simplify (+ 1 0) into 1 2.970 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 2.971 * [backup-simplify]: Simplify 1.0 into 1.0 2.971 * [backup-simplify]: Simplify (+ 0 0) into 0 2.977 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 2.978 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 2.979 * [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)))) 2.979 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 2.979 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 2.979 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 2.979 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.979 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.979 * [taylor]: Taking taylor expansion of N in N 2.979 * [backup-simplify]: Simplify 0 into 0 2.979 * [backup-simplify]: Simplify 1 into 1 2.980 * [backup-simplify]: Simplify (/ 1 1) into 1 2.980 * [taylor]: Taking taylor expansion of 1.0 in N 2.980 * [backup-simplify]: Simplify 1.0 into 1.0 2.980 * [backup-simplify]: Simplify (+ 1 0) into 1 2.981 * [backup-simplify]: Simplify (log 1) into 0 2.981 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 2.981 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.981 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.981 * [taylor]: Taking taylor expansion of N in N 2.981 * [backup-simplify]: Simplify 0 into 0 2.981 * [backup-simplify]: Simplify 1 into 1 2.981 * [backup-simplify]: Simplify (/ 1 1) into 1 2.981 * [taylor]: Taking taylor expansion of 1.0 in N 2.981 * [backup-simplify]: Simplify 1.0 into 1.0 2.982 * [backup-simplify]: Simplify (+ 1 0) into 1 2.982 * [backup-simplify]: Simplify (log 1) into 0 2.983 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.983 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 2.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.984 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.002 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 3.003 * [backup-simplify]: Simplify 1.0 into 1.0 3.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.004 * [backup-simplify]: Simplify (+ 0 0) into 0 3.024 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 3.024 * [backup-simplify]: Simplify -0.5 into -0.5 3.025 * [backup-simplify]: Simplify (+ (* -0.5 (pow (/ 1 N) 2)) (+ (* 1.0 (/ 1 N)) (- (log (/ 1 N))))) into (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) 3.025 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 3.025 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 3.025 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 3.025 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.025 * [taylor]: Taking taylor expansion of 1.0 in N 3.025 * [backup-simplify]: Simplify 1.0 into 1.0 3.025 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.025 * [taylor]: Taking taylor expansion of N in N 3.025 * [backup-simplify]: Simplify 0 into 0 3.025 * [backup-simplify]: Simplify 1 into 1 3.026 * [backup-simplify]: Simplify (/ 1 1) into 1 3.026 * [backup-simplify]: Simplify (- 1) into -1 3.026 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.027 * [backup-simplify]: Simplify (log -1) into (log -1) 3.027 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 3.027 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.027 * [taylor]: Taking taylor expansion of 1.0 in N 3.027 * [backup-simplify]: Simplify 1.0 into 1.0 3.027 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.027 * [taylor]: Taking taylor expansion of N in N 3.027 * [backup-simplify]: Simplify 0 into 0 3.027 * [backup-simplify]: Simplify 1 into 1 3.027 * [backup-simplify]: Simplify (/ 1 1) into 1 3.028 * [backup-simplify]: Simplify (- 1) into -1 3.028 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.028 * [backup-simplify]: Simplify (log -1) into (log -1) 3.029 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 3.029 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 3.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.031 * [backup-simplify]: Simplify (- 0) into 0 3.031 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.038 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 3.038 * [backup-simplify]: Simplify -1.0 into -1.0 3.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.039 * [backup-simplify]: Simplify (- 0) into 0 3.040 * [backup-simplify]: Simplify (+ 0 0) into 0 3.051 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 3.051 * [backup-simplify]: Simplify -0.5 into -0.5 3.052 * [backup-simplify]: Simplify (+ (* -0.5 (pow (/ 1 (- N)) 2)) (+ (* -1.0 (/ 1 (- N))) (- (log -1) (log (/ 1 (- N)))))) into (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) 3.052 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 3.052 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3) 3.052 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 3.052 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 3.052 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 3.052 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 3.052 * [taylor]: Taking taylor expansion of 1/3 in N 3.052 * [backup-simplify]: Simplify 1/3 into 1/3 3.052 * [taylor]: Taking taylor expansion of (log N) in N 3.052 * [taylor]: Taking taylor expansion of N in N 3.052 * [backup-simplify]: Simplify 0 into 0 3.052 * [backup-simplify]: Simplify 1 into 1 3.052 * [backup-simplify]: Simplify (log 1) into 0 3.053 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.053 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 3.053 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 3.053 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 3.053 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 3.053 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 3.053 * [taylor]: Taking taylor expansion of 1/3 in N 3.053 * [backup-simplify]: Simplify 1/3 into 1/3 3.053 * [taylor]: Taking taylor expansion of (log N) in N 3.053 * [taylor]: Taking taylor expansion of N in N 3.053 * [backup-simplify]: Simplify 0 into 0 3.053 * [backup-simplify]: Simplify 1 into 1 3.054 * [backup-simplify]: Simplify (log 1) into 0 3.054 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.054 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 3.054 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 3.054 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 3.056 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.056 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.057 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 3.057 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 3.057 * [backup-simplify]: Simplify 0 into 0 3.060 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 3.060 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.061 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 3.063 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.063 * [backup-simplify]: Simplify 0 into 0 3.069 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 3.070 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.071 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 3.073 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.073 * [backup-simplify]: Simplify 0 into 0 3.084 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 3.085 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.086 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0 3.089 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.089 * [backup-simplify]: Simplify 0 into 0 3.108 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 3.108 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.110 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0 3.115 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.115 * [backup-simplify]: Simplify 0 into 0 3.146 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 3.147 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.149 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0 3.155 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.155 * [backup-simplify]: Simplify 0 into 0 3.156 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 3.156 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3) 3.156 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 3.156 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 3.156 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 3.156 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 3.156 * [taylor]: Taking taylor expansion of 1/3 in N 3.156 * [backup-simplify]: Simplify 1/3 into 1/3 3.156 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 3.156 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.156 * [taylor]: Taking taylor expansion of N in N 3.156 * [backup-simplify]: Simplify 0 into 0 3.156 * [backup-simplify]: Simplify 1 into 1 3.157 * [backup-simplify]: Simplify (/ 1 1) into 1 3.166 * [backup-simplify]: Simplify (log 1) into 0 3.167 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.167 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 3.167 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 3.167 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 3.167 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 3.167 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 3.167 * [taylor]: Taking taylor expansion of 1/3 in N 3.167 * [backup-simplify]: Simplify 1/3 into 1/3 3.167 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 3.167 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.167 * [taylor]: Taking taylor expansion of N in N 3.167 * [backup-simplify]: Simplify 0 into 0 3.167 * [backup-simplify]: Simplify 1 into 1 3.168 * [backup-simplify]: Simplify (/ 1 1) into 1 3.168 * [backup-simplify]: Simplify (log 1) into 0 3.169 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.169 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 3.169 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 3.169 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 3.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.171 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.172 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.172 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 3.173 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 3.173 * [backup-simplify]: Simplify 0 into 0 3.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.177 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 3.178 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.179 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 3.180 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.180 * [backup-simplify]: Simplify 0 into 0 3.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.187 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 3.188 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.189 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 3.191 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.191 * [backup-simplify]: Simplify 0 into 0 3.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.203 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 3.204 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.206 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 3.211 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.211 * [backup-simplify]: Simplify 0 into 0 3.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.231 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 3.232 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.234 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 3.238 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.238 * [backup-simplify]: Simplify 0 into 0 3.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.272 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 3.273 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.275 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 3.281 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.281 * [backup-simplify]: Simplify 0 into 0 3.282 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3) 3.282 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 3.282 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 3.282 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 3.282 * [taylor]: Taking taylor expansion of (cbrt -1) in N 3.282 * [taylor]: Taking taylor expansion of -1 in N 3.282 * [backup-simplify]: Simplify -1 into -1 3.283 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.283 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.283 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 3.283 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 3.283 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 3.283 * [taylor]: Taking taylor expansion of 1/3 in N 3.284 * [backup-simplify]: Simplify 1/3 into 1/3 3.284 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 3.284 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.284 * [taylor]: Taking taylor expansion of N in N 3.284 * [backup-simplify]: Simplify 0 into 0 3.284 * [backup-simplify]: Simplify 1 into 1 3.284 * [backup-simplify]: Simplify (/ 1 1) into 1 3.284 * [backup-simplify]: Simplify (log 1) into 0 3.285 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.285 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 3.285 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 3.285 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 3.285 * [taylor]: Taking taylor expansion of (cbrt -1) in N 3.285 * [taylor]: Taking taylor expansion of -1 in N 3.285 * [backup-simplify]: Simplify -1 into -1 3.286 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.286 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.286 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 3.287 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 3.287 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 3.287 * [taylor]: Taking taylor expansion of 1/3 in N 3.287 * [backup-simplify]: Simplify 1/3 into 1/3 3.287 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 3.287 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.287 * [taylor]: Taking taylor expansion of N in N 3.287 * [backup-simplify]: Simplify 0 into 0 3.287 * [backup-simplify]: Simplify 1 into 1 3.287 * [backup-simplify]: Simplify (/ 1 1) into 1 3.288 * [backup-simplify]: Simplify (log 1) into 0 3.288 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.288 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 3.288 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 3.289 * [backup-simplify]: Simplify (* (cbrt -1) (pow N -1/3)) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 3.290 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 N) 1/3)) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 3.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.292 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.292 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.293 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 3.293 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 3.294 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow N -1/3))) into 0 3.294 * [backup-simplify]: Simplify 0 into 0 3.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.298 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 3.299 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.299 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 3.301 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.302 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 3.303 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow N -1/3)))) into 0 3.303 * [backup-simplify]: Simplify 0 into 0 3.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.309 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 3.310 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.311 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 3.313 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.315 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 3.316 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3))))) into 0 3.316 * [backup-simplify]: Simplify 0 into 0 3.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.338 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 3.339 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.340 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 3.343 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.345 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 3.347 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3)))))) into 0 3.347 * [backup-simplify]: Simplify 0 into 0 3.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.357 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 3.357 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.359 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 3.361 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.362 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 3.363 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3))))))) into 0 3.363 * [backup-simplify]: Simplify 0 into 0 3.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.396 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 3.397 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.400 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 3.406 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.408 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 3.411 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3)))))))) into 0 3.411 * [backup-simplify]: Simplify 0 into 0 3.412 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 (/ 1 (- N))) 1/3)) into (* (pow (* -1 N) 1/3) (cbrt -1)) 3.412 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2 1) 3.412 * [backup-simplify]: Simplify (cbrt N) into (pow N 1/3) 3.412 * [approximate]: Taking taylor expansion of (pow N 1/3) in (N) around 0 3.412 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 3.412 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 3.412 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 3.412 * [taylor]: Taking taylor expansion of 1/3 in N 3.412 * [backup-simplify]: Simplify 1/3 into 1/3 3.412 * [taylor]: Taking taylor expansion of (log N) in N 3.412 * [taylor]: Taking taylor expansion of N in N 3.412 * [backup-simplify]: Simplify 0 into 0 3.412 * [backup-simplify]: Simplify 1 into 1 3.413 * [backup-simplify]: Simplify (log 1) into 0 3.413 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.413 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 3.413 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 3.413 * [taylor]: Taking taylor expansion of (pow N 1/3) in N 3.413 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log N))) in N 3.413 * [taylor]: Taking taylor expansion of (* 1/3 (log N)) in N 3.413 * [taylor]: Taking taylor expansion of 1/3 in N 3.413 * [backup-simplify]: Simplify 1/3 into 1/3 3.413 * [taylor]: Taking taylor expansion of (log N) in N 3.413 * [taylor]: Taking taylor expansion of N in N 3.413 * [backup-simplify]: Simplify 0 into 0 3.414 * [backup-simplify]: Simplify 1 into 1 3.414 * [backup-simplify]: Simplify (log 1) into 0 3.414 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.414 * [backup-simplify]: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) 3.415 * [backup-simplify]: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) 3.415 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 3.416 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.417 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.417 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log N))) into 0 3.419 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 3.419 * [backup-simplify]: Simplify 0 into 0 3.422 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 3.423 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.424 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log N)))) into 0 3.426 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.426 * [backup-simplify]: Simplify 0 into 0 3.431 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 3.432 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.433 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))) into 0 3.435 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.435 * [backup-simplify]: Simplify 0 into 0 3.447 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 3.448 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.449 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0 3.452 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.452 * [backup-simplify]: Simplify 0 into 0 3.470 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 3.470 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.473 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0 3.477 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.477 * [backup-simplify]: Simplify 0 into 0 3.525 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 3.525 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 3.528 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0 3.534 * [backup-simplify]: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.535 * [backup-simplify]: Simplify 0 into 0 3.535 * [backup-simplify]: Simplify (pow N 1/3) into (pow N 1/3) 3.535 * [backup-simplify]: Simplify (cbrt (/ 1 N)) into (pow (/ 1 N) 1/3) 3.535 * [approximate]: Taking taylor expansion of (pow (/ 1 N) 1/3) in (N) around 0 3.535 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 3.535 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 3.535 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 3.535 * [taylor]: Taking taylor expansion of 1/3 in N 3.535 * [backup-simplify]: Simplify 1/3 into 1/3 3.535 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 3.535 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.535 * [taylor]: Taking taylor expansion of N in N 3.535 * [backup-simplify]: Simplify 0 into 0 3.535 * [backup-simplify]: Simplify 1 into 1 3.536 * [backup-simplify]: Simplify (/ 1 1) into 1 3.536 * [backup-simplify]: Simplify (log 1) into 0 3.537 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.537 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 3.537 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 3.537 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 3.537 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 3.537 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 3.537 * [taylor]: Taking taylor expansion of 1/3 in N 3.537 * [backup-simplify]: Simplify 1/3 into 1/3 3.537 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 3.537 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.537 * [taylor]: Taking taylor expansion of N in N 3.537 * [backup-simplify]: Simplify 0 into 0 3.537 * [backup-simplify]: Simplify 1 into 1 3.538 * [backup-simplify]: Simplify (/ 1 1) into 1 3.538 * [backup-simplify]: Simplify (log 1) into 0 3.539 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.539 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 3.539 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 3.539 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 3.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.542 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.542 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.543 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 3.544 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 3.544 * [backup-simplify]: Simplify 0 into 0 3.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.548 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 3.548 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.549 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 3.551 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.551 * [backup-simplify]: Simplify 0 into 0 3.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.557 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 3.558 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.559 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 3.561 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.562 * [backup-simplify]: Simplify 0 into 0 3.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.575 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 3.575 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.577 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 3.580 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.580 * [backup-simplify]: Simplify 0 into 0 3.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.600 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 3.601 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.603 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 3.605 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.605 * [backup-simplify]: Simplify 0 into 0 3.606 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.623 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 3.624 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.625 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 3.629 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.629 * [backup-simplify]: Simplify 0 into 0 3.629 * [backup-simplify]: Simplify (pow (/ 1 N) -1/3) into (pow (/ 1 N) -1/3) 3.629 * [backup-simplify]: Simplify (cbrt (/ 1 (- N))) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 3.629 * [approximate]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in (N) around 0 3.629 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 3.629 * [taylor]: Taking taylor expansion of (cbrt -1) in N 3.629 * [taylor]: Taking taylor expansion of -1 in N 3.629 * [backup-simplify]: Simplify -1 into -1 3.630 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.630 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.630 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 3.630 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 3.630 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 3.630 * [taylor]: Taking taylor expansion of 1/3 in N 3.630 * [backup-simplify]: Simplify 1/3 into 1/3 3.630 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 3.630 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.630 * [taylor]: Taking taylor expansion of N in N 3.630 * [backup-simplify]: Simplify 0 into 0 3.630 * [backup-simplify]: Simplify 1 into 1 3.631 * [backup-simplify]: Simplify (/ 1 1) into 1 3.631 * [backup-simplify]: Simplify (log 1) into 0 3.631 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.631 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 3.631 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 3.631 * [taylor]: Taking taylor expansion of (* (cbrt -1) (pow (/ 1 N) 1/3)) in N 3.632 * [taylor]: Taking taylor expansion of (cbrt -1) in N 3.632 * [taylor]: Taking taylor expansion of -1 in N 3.632 * [backup-simplify]: Simplify -1 into -1 3.632 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 3.632 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 3.632 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/3) in N 3.632 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 N)))) in N 3.632 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 N))) in N 3.632 * [taylor]: Taking taylor expansion of 1/3 in N 3.632 * [backup-simplify]: Simplify 1/3 into 1/3 3.632 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 3.632 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.633 * [taylor]: Taking taylor expansion of N in N 3.633 * [backup-simplify]: Simplify 0 into 0 3.633 * [backup-simplify]: Simplify 1 into 1 3.633 * [backup-simplify]: Simplify (/ 1 1) into 1 3.633 * [backup-simplify]: Simplify (log 1) into 0 3.633 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.633 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 3.634 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 3.634 * [backup-simplify]: Simplify (* (cbrt -1) (pow N -1/3)) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 3.635 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 N) 1/3)) into (* (cbrt -1) (pow (/ 1 N) 1/3)) 3.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.647 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 3.648 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.648 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log N)))) into 0 3.649 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 3.650 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow N -1/3))) into 0 3.650 * [backup-simplify]: Simplify 0 into 0 3.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.654 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 3.654 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.655 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 3.657 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.658 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 3.660 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow N -1/3)))) into 0 3.660 * [backup-simplify]: Simplify 0 into 0 3.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.666 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 3.666 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.667 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 3.668 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.669 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 3.670 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3))))) into 0 3.670 * [backup-simplify]: Simplify 0 into 0 3.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.676 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 3.677 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.678 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 3.679 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.680 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 3.681 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3)))))) into 0 3.681 * [backup-simplify]: Simplify 0 into 0 3.682 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.691 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 3.692 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.693 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 3.695 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 3.696 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0 3.697 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3))))))) into 0 3.697 * [backup-simplify]: Simplify 0 into 0 3.698 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.718 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 3.719 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 3.721 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 3.728 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 3.730 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 3.732 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow N -1/3)))))))) into 0 3.733 * [backup-simplify]: Simplify 0 into 0 3.733 * [backup-simplify]: Simplify (* (cbrt -1) (pow (/ 1 (/ 1 (- N))) 1/3)) into (* (pow (* -1 N) 1/3) (cbrt -1)) 3.733 * * * [progress]: simplifying candidates 3.735 * [simplify]: Simplifying: (/ (/ (+ N 1.0) (exp (* 2 (log (cbrt N))))) (cbrt N)) (/ (exp (- (log (+ N 1.0)) (* 2 (log (cbrt N))))) (cbrt N)) (log (- (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log (cbrt N)))) (exp (- (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log (cbrt N)))) (* (cbrt (- (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log (cbrt N)))) (cbrt (- (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log (cbrt N))))) (cbrt (- (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log (cbrt N)))) (* (* (- (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log (cbrt N))) (- (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log (cbrt N)))) (- (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log (cbrt N)))) (sqrt (- (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log (cbrt N)))) (sqrt (- (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log (cbrt N)))) (- (pow (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) 3) (pow (log (cbrt N)) 3)) (+ (* (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (- (log (+ N 1.0)) (* 2 (log (cbrt N))))) (+ (* (log (cbrt N)) (log (cbrt N))) (* (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log (cbrt N))))) (- (log (cbrt N))) (- (* (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (- (log (+ N 1.0)) (* 2 (log (cbrt N))))) (* (log (cbrt N)) (log (cbrt N)))) (+ (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log (cbrt N))) (+ (sqrt (- (log (+ N 1.0)) (* 2 (log (cbrt N))))) (sqrt (log (cbrt N)))) (- (sqrt (- (log (+ N 1.0)) (* 2 (log (cbrt N))))) (sqrt (log (cbrt N)))) (- (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log (cbrt N))) (- (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log (cbrt N))) (- (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log (cbrt (* (cbrt N) (cbrt N))))) (- (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log (cbrt (sqrt N)))) (- (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log (cbrt 1))) (- (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log (* (cbrt (cbrt N)) (cbrt (cbrt N))))) (- (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log (sqrt (cbrt N)))) (- (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log 1)) (- (- (* 2 (log (cbrt N)))) (log (cbrt N))) (- (- (log (cbrt (+ N 1.0))) (* 2 (log (cbrt N)))) (log (cbrt N))) (- (- (log (sqrt (+ N 1.0))) (* 2 (log (cbrt N)))) (log (cbrt N))) (- (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log (cbrt N))) (- (- (log (+ N 1.0)) (* 2 (log (cbrt N)))) (log (cbrt N))) (- (- (* 2 (log (cbrt N)))) (log (cbrt N))) (+ (* 2 (log (cbrt N))) (log (cbrt N))) (- (log (cbrt N))) (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log 1) (log (+ N 1.0)) (log 1) (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (exp (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (log (cbrt N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) (cbrt 1) (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) (* (* (cbrt N) (cbrt N)) (cbrt N)) (sqrt (cbrt N)) (sqrt (cbrt N)) (log (cbrt N)) (exp (cbrt N)) (cbrt (* (cbrt N) (cbrt N))) (cbrt (cbrt N)) (cbrt (sqrt N)) (cbrt (sqrt N)) (cbrt 1) (cbrt N) (* (cbrt (cbrt N)) (cbrt (cbrt N))) (cbrt (cbrt N)) (* (* (cbrt N) (cbrt N)) (cbrt N)) (sqrt (cbrt N)) (sqrt (cbrt N)) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (* 3 (log (pow N 1/3))))) (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (+ (* 3 (log (pow (/ 1 N) -1/3))) (log (/ 1 N))))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (+ (log (/ -1 N)) (* 3 (log (* (pow (* -1 N) 1/3) (cbrt -1))))))) (- (+ (* 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)))) (pow N 1/3) (pow (/ 1 N) -1/3) (* (pow (* -1 N) 1/3) (cbrt -1)) (pow N 1/3) (pow (/ 1 N) -1/3) (* (pow (* -1 N) 1/3) (cbrt -1)) 3.736 * [simplify]: Sending expressions to egg_math: (/ (/ (+ h0 1.0) (exp (* 2 (log (cbrt h0))))) (cbrt h0)) (/ (exp (- (log (+ h0 1.0)) (* 2 (log (cbrt h0))))) (cbrt h0)) (log (- (- (log (+ h0 1.0)) (* 2 (log (cbrt h0)))) (log (cbrt h0)))) (exp (- (- (log (+ h0 1.0)) (* 2 (log (cbrt h0)))) (log (cbrt h0)))) (* (cbrt (- (- (log (+ h0 1.0)) (* 2 (log (cbrt h0)))) (log (cbrt h0)))) (cbrt (- (- (log (+ h0 1.0)) (* 2 (log (cbrt h0)))) (log (cbrt h0))))) (cbrt (- (- (log (+ h0 1.0)) (* 2 (log (cbrt h0)))) (log (cbrt h0)))) (* (* (- (- (log (+ h0 1.0)) (* 2 (log (cbrt h0)))) (log (cbrt h0))) (- (- (log (+ h0 1.0)) (* 2 (log (cbrt h0)))) (log (cbrt h0)))) (- (- (log (+ h0 1.0)) (* 2 (log (cbrt h0)))) (log (cbrt h0)))) (sqrt (- (- (log (+ h0 1.0)) (* 2 (log (cbrt h0)))) (log (cbrt h0)))) (sqrt (- (- (log (+ h0 1.0)) (* 2 (log (cbrt h0)))) (log (cbrt h0)))) (- (pow (- (log (+ h0 1.0)) (* 2 (log (cbrt h0)))) 3) (pow (log (cbrt h0)) 3)) (+ (* (- (log (+ h0 1.0)) (* 2 (log (cbrt h0)))) (- (log (+ h0 1.0)) (* 2 (log (cbrt h0))))) (+ (* (log (cbrt h0)) (log (cbrt h0))) (* (- (log (+ h0 1.0)) (* 2 (log (cbrt h0)))) (log (cbrt h0))))) (- (log (cbrt h0))) (- (* (- (log (+ h0 1.0)) (* 2 (log (cbrt h0)))) (- (log (+ h0 1.0)) (* 2 (log (cbrt h0))))) (* (log (cbrt h0)) (log (cbrt h0)))) (+ (- (log (+ h0 1.0)) (* 2 (log (cbrt h0)))) (log (cbrt h0))) (+ (sqrt (- (log (+ h0 1.0)) (* 2 (log (cbrt h0))))) (sqrt (log (cbrt h0)))) (- (sqrt (- (log (+ h0 1.0)) (* 2 (log (cbrt h0))))) (sqrt (log (cbrt h0)))) (- (- (log (+ h0 1.0)) (* 2 (log (cbrt h0)))) (log (cbrt h0))) (- (- (log (+ h0 1.0)) (* 2 (log (cbrt h0)))) (log (cbrt h0))) (- (- (log (+ h0 1.0)) (* 2 (log (cbrt h0)))) (log (cbrt (* (cbrt h0) (cbrt h0))))) (- (- (log (+ h0 1.0)) (* 2 (log (cbrt h0)))) (log (cbrt (sqrt h0)))) (- (- (log (+ h0 1.0)) (* 2 (log (cbrt h0)))) (log (cbrt 1))) (- (- (log (+ h0 1.0)) (* 2 (log (cbrt h0)))) (log (* (cbrt (cbrt h0)) (cbrt (cbrt h0))))) (- (- (log (+ h0 1.0)) (* 2 (log (cbrt h0)))) (log (sqrt (cbrt h0)))) (- (- (log (+ h0 1.0)) (* 2 (log (cbrt h0)))) (log 1)) (- (- (* 2 (log (cbrt h0)))) (log (cbrt h0))) (- (- (log (cbrt (+ h0 1.0))) (* 2 (log (cbrt h0)))) (log (cbrt h0))) (- (- (log (sqrt (+ h0 1.0))) (* 2 (log (cbrt h0)))) (log (cbrt h0))) (- (- (log (+ h0 1.0)) (* 2 (log (cbrt h0)))) (log (cbrt h0))) (- (- (log (+ h0 1.0)) (* 2 (log (cbrt h0)))) (log (cbrt h0))) (- (- (* 2 (log (cbrt h0)))) (log (cbrt h0))) (+ (* 2 (log (cbrt h0))) (log (cbrt h0))) (- (log (cbrt h0))) (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))) (log (cbrt h0)) (exp (cbrt h0)) (cbrt (* (cbrt h0) (cbrt h0))) (cbrt (cbrt h0)) (cbrt (sqrt h0)) (cbrt (sqrt h0)) (cbrt 1) (cbrt h0) (* (cbrt (cbrt h0)) (cbrt (cbrt h0))) (cbrt (cbrt h0)) (* (* (cbrt h0) (cbrt h0)) (cbrt h0)) (sqrt (cbrt h0)) (sqrt (cbrt h0)) (log (cbrt h0)) (exp (cbrt h0)) (cbrt (* (cbrt h0) (cbrt h0))) (cbrt (cbrt h0)) (cbrt (sqrt h0)) (cbrt (sqrt h0)) (cbrt 1) (cbrt h0) (* (cbrt (cbrt h0)) (cbrt (cbrt h0))) (cbrt (cbrt h0)) (* (* (cbrt h0) (cbrt h0)) (cbrt h0)) (sqrt (cbrt h0)) (sqrt (cbrt h0)) (- (+ (* 1.0 h0) (log 1.0)) (+ (* (/ 1 2) (/ (pow h0 2) (pow 1.0 2))) (* 3 (log (pow h0 (/ 1 3)))))) (- (* 1.0 (/ 1 h0)) (+ (* (/ 1.0 2.0) (/ 1 (pow h0 2))) (+ (* 3 (log (pow (/ 1 h0) (/ -1 3)))) (log (/ 1 h0))))) (- (+ (* 1.0 (/ 1 h0)) (log -1)) (+ (* (/ 1.0 2.0) (/ 1 (pow h0 2))) (+ (log (/ -1 h0)) (* 3 (log (* (pow (* -1 h0) (/ 1 3)) (cbrt -1))))))) (- (+ (* 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)))) (pow h0 (/ 1 3)) (pow (/ 1 h0) (/ -1 3)) (* (pow (* -1 h0) (/ 1 3)) (cbrt -1)) (pow h0 (/ 1 3)) (pow (/ 1 h0) (/ -1 3)) (* (pow (* -1 h0) (/ 1 3)) (cbrt -1)) 3.829 * * * [progress]: adding candidates to table 4.112 * [progress]: [Phase 3 of 3] Extracting. 4.112 * * [regime]: Finding splitpoints for: (# # # #) 4.113 * * * [regime-changes]: Trying 1 branch expressions: (N) 4.113 * * * * [regimes]: Trying to branch on N from (# # # #) 4.141 * * * [regime]: Found split indices: #