21.925 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.066 * * * [progress]: [2/2] Setting up program. 0.069 * [progress]: [Phase 2 of 3] Improving. 0.070 * [simplify]: Simplifying: (- (log (+ N 1.0)) (log N)) 0.070 * * [simplify]: iteration 0: 6 enodes 0.071 * * [simplify]: iteration 1: 9 enodes 0.073 * * [simplify]: iteration 2: 10 enodes 0.075 * * [simplify]: iteration complete: 10 enodes 0.075 * * [simplify]: Extracting #0: cost 1 inf + 0 0.075 * * [simplify]: Extracting #1: cost 4 inf + 0 0.075 * * [simplify]: Extracting #2: cost 6 inf + 0 0.076 * * [simplify]: Extracting #3: cost 6 inf + 1 0.076 * * [simplify]: Extracting #4: cost 0 inf + 560 0.076 * [simplify]: Simplified to: (- (log (+ 1.0 N)) (log N)) 0.077 * * [progress]: iteration 1 / 4 0.077 * * * [progress]: picking best candidate 0.083 * * * * [pick]: Picked # 0.083 * * * [progress]: localizing error 0.121 * * * [progress]: generating rewritten candidates 0.121 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.142 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.152 * * * [progress]: generating series expansions 0.152 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.152 * [backup-simplify]: Simplify (- (log (+ N 1.0)) (log N)) into (- (log (+ N 1.0)) (log N)) 0.152 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.152 * [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 0.153 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.154 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.154 * [taylor]: Taking taylor expansion of (log N) in N 0.154 * [taylor]: Taking taylor expansion of N in N 0.154 * [backup-simplify]: Simplify 0 into 0 0.154 * [backup-simplify]: Simplify 1 into 1 0.154 * [backup-simplify]: Simplify (log 1) into 0 0.154 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.154 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.154 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.154 * [taylor]: Taking taylor expansion of N in N 0.154 * [backup-simplify]: Simplify 0 into 0 0.154 * [backup-simplify]: Simplify 1 into 1 0.154 * [taylor]: Taking taylor expansion of 1.0 in N 0.154 * [backup-simplify]: Simplify 1.0 into 1.0 0.155 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.155 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.155 * [taylor]: Taking taylor expansion of (log N) in N 0.155 * [taylor]: Taking taylor expansion of N in N 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify 1 into 1 0.156 * [backup-simplify]: Simplify (log 1) into 0 0.156 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.156 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.157 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N)) 0.157 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.158 * [backup-simplify]: Simplify (+ 1 0) into 1 0.163 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.165 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.165 * [backup-simplify]: Simplify (- 0) into 0 0.166 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.166 * [backup-simplify]: Simplify 1.0 into 1.0 0.169 * [backup-simplify]: Simplify (+ 0 0) into 0 0.179 * [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)) 0.182 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.182 * [backup-simplify]: Simplify (- 0) into 0 0.184 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.187 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.190 * [backup-simplify]: Simplify (+ (* (- (* 1/2 (/ 1 (pow 1.0 2)))) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (log 1.0) (* 1.0 N)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 0.191 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) 0.191 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.191 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.191 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.191 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.191 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.191 * [taylor]: Taking taylor expansion of N in N 0.191 * [backup-simplify]: Simplify 0 into 0 0.191 * [backup-simplify]: Simplify 1 into 1 0.191 * [backup-simplify]: Simplify (/ 1 1) into 1 0.191 * [taylor]: Taking taylor expansion of 1.0 in N 0.191 * [backup-simplify]: Simplify 1.0 into 1.0 0.192 * [backup-simplify]: Simplify (+ 1 0) into 1 0.192 * [backup-simplify]: Simplify (log 1) into 0 0.192 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.192 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.192 * [taylor]: Taking taylor expansion of N in N 0.192 * [backup-simplify]: Simplify 0 into 0 0.192 * [backup-simplify]: Simplify 1 into 1 0.193 * [backup-simplify]: Simplify (/ 1 1) into 1 0.193 * [backup-simplify]: Simplify (log 1) into 0 0.193 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.193 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.193 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.193 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.193 * [taylor]: Taking taylor expansion of N in N 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify 1 into 1 0.193 * [backup-simplify]: Simplify (/ 1 1) into 1 0.193 * [taylor]: Taking taylor expansion of 1.0 in N 0.193 * [backup-simplify]: Simplify 1.0 into 1.0 0.194 * [backup-simplify]: Simplify (+ 1 0) into 1 0.194 * [backup-simplify]: Simplify (log 1) into 0 0.194 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.194 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.194 * [taylor]: Taking taylor expansion of N in N 0.194 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify 1 into 1 0.195 * [backup-simplify]: Simplify (/ 1 1) into 1 0.195 * [backup-simplify]: Simplify (log 1) into 0 0.196 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.196 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.196 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.196 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.196 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.197 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.203 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.205 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.206 * [backup-simplify]: Simplify (- 0) into 0 0.206 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.206 * [backup-simplify]: Simplify 1.0 into 1.0 0.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.207 * [backup-simplify]: Simplify (+ 0 0) into 0 0.218 * [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 0.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.223 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.224 * [backup-simplify]: Simplify (- 0) into 0 0.224 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.225 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.226 * [backup-simplify]: Simplify (+ 0 0) into 0 0.242 * [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 0.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.245 * [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 0.246 * [backup-simplify]: Simplify (- 0) into 0 0.246 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.246 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.246 * [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)))) 0.247 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1.0)) (log (/ 1 (- N)))) into (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) 0.247 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.247 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.247 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.247 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.247 * [taylor]: Taking taylor expansion of 1.0 in N 0.247 * [backup-simplify]: Simplify 1.0 into 1.0 0.247 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.247 * [taylor]: Taking taylor expansion of N in N 0.247 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify 1 into 1 0.247 * [backup-simplify]: Simplify (/ 1 1) into 1 0.247 * [backup-simplify]: Simplify (- 1) into -1 0.248 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.248 * [backup-simplify]: Simplify (log -1) into (log -1) 0.248 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.248 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.248 * [taylor]: Taking taylor expansion of -1 in N 0.248 * [backup-simplify]: Simplify -1 into -1 0.248 * [taylor]: Taking taylor expansion of N in N 0.248 * [backup-simplify]: Simplify 0 into 0 0.248 * [backup-simplify]: Simplify 1 into 1 0.248 * [backup-simplify]: Simplify (/ -1 1) into -1 0.248 * [backup-simplify]: Simplify (log -1) into (log -1) 0.248 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.248 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.248 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.249 * [taylor]: Taking taylor expansion of 1.0 in N 0.249 * [backup-simplify]: Simplify 1.0 into 1.0 0.249 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.249 * [taylor]: Taking taylor expansion of N in N 0.249 * [backup-simplify]: Simplify 0 into 0 0.249 * [backup-simplify]: Simplify 1 into 1 0.249 * [backup-simplify]: Simplify (/ 1 1) into 1 0.249 * [backup-simplify]: Simplify (- 1) into -1 0.252 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.252 * [backup-simplify]: Simplify (log -1) into (log -1) 0.252 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.252 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.252 * [taylor]: Taking taylor expansion of -1 in N 0.252 * [backup-simplify]: Simplify -1 into -1 0.252 * [taylor]: Taking taylor expansion of N in N 0.252 * [backup-simplify]: Simplify 0 into 0 0.252 * [backup-simplify]: Simplify 1 into 1 0.253 * [backup-simplify]: Simplify (/ -1 1) into -1 0.253 * [backup-simplify]: Simplify (log -1) into (log -1) 0.253 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.254 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.254 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.255 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.255 * [backup-simplify]: Simplify 0 into 0 0.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.256 * [backup-simplify]: Simplify (- 0) into 0 0.256 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.260 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.260 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.261 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.261 * [backup-simplify]: Simplify (- 0) into 0 0.262 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 0.262 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.263 * [backup-simplify]: Simplify (- 0) into 0 0.263 * [backup-simplify]: Simplify (+ 0 0) into 0 0.269 * [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 0.270 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.271 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.271 * [backup-simplify]: Simplify (- 0) into 0 0.272 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.272 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.273 * [backup-simplify]: Simplify (- 0) into 0 0.273 * [backup-simplify]: Simplify (+ 0 0) into 0 0.283 * [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 0.284 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.287 * [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 0.287 * [backup-simplify]: Simplify (- 0) into 0 0.287 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333) 0.287 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.289 * [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)))) 0.289 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.289 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 0.289 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.289 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.289 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.289 * [taylor]: Taking taylor expansion of N in N 0.289 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify 1 into 1 0.289 * [taylor]: Taking taylor expansion of 1.0 in N 0.289 * [backup-simplify]: Simplify 1.0 into 1.0 0.289 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.290 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.290 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.290 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.290 * [taylor]: Taking taylor expansion of N in N 0.290 * [backup-simplify]: Simplify 0 into 0 0.290 * [backup-simplify]: Simplify 1 into 1 0.290 * [taylor]: Taking taylor expansion of 1.0 in N 0.290 * [backup-simplify]: Simplify 1.0 into 1.0 0.290 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.290 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.291 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.291 * [backup-simplify]: Simplify (+ 1 0) into 1 0.294 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.294 * [backup-simplify]: Simplify 1.0 into 1.0 0.294 * [backup-simplify]: Simplify (+ 0 0) into 0 0.300 * [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)) 0.301 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.302 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (log 1.0))) into (- (+ (log 1.0) (* 1.0 N)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) 0.302 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 0.302 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.302 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.302 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.302 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.302 * [taylor]: Taking taylor expansion of N in N 0.302 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify 1 into 1 0.303 * [backup-simplify]: Simplify (/ 1 1) into 1 0.303 * [taylor]: Taking taylor expansion of 1.0 in N 0.303 * [backup-simplify]: Simplify 1.0 into 1.0 0.303 * [backup-simplify]: Simplify (+ 1 0) into 1 0.303 * [backup-simplify]: Simplify (log 1) into 0 0.303 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.303 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.303 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.303 * [taylor]: Taking taylor expansion of N in N 0.303 * [backup-simplify]: Simplify 0 into 0 0.303 * [backup-simplify]: Simplify 1 into 1 0.303 * [backup-simplify]: Simplify (/ 1 1) into 1 0.303 * [taylor]: Taking taylor expansion of 1.0 in N 0.303 * [backup-simplify]: Simplify 1.0 into 1.0 0.304 * [backup-simplify]: Simplify (+ 1 0) into 1 0.304 * [backup-simplify]: Simplify (log 1) into 0 0.304 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.304 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.305 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.310 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.310 * [backup-simplify]: Simplify 1.0 into 1.0 0.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.311 * [backup-simplify]: Simplify (+ 0 0) into 0 0.322 * [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 0.323 * [backup-simplify]: Simplify -0.5 into -0.5 0.323 * [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)))) 0.323 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 0.323 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.323 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.323 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.323 * [taylor]: Taking taylor expansion of 1.0 in N 0.323 * [backup-simplify]: Simplify 1.0 into 1.0 0.323 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.323 * [taylor]: Taking taylor expansion of N in N 0.323 * [backup-simplify]: Simplify 0 into 0 0.323 * [backup-simplify]: Simplify 1 into 1 0.324 * [backup-simplify]: Simplify (/ 1 1) into 1 0.324 * [backup-simplify]: Simplify (- 1) into -1 0.325 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.325 * [backup-simplify]: Simplify (log -1) into (log -1) 0.325 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.325 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.325 * [taylor]: Taking taylor expansion of 1.0 in N 0.325 * [backup-simplify]: Simplify 1.0 into 1.0 0.325 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.325 * [taylor]: Taking taylor expansion of N in N 0.325 * [backup-simplify]: Simplify 0 into 0 0.325 * [backup-simplify]: Simplify 1 into 1 0.326 * [backup-simplify]: Simplify (/ 1 1) into 1 0.326 * [backup-simplify]: Simplify (- 1) into -1 0.327 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.327 * [backup-simplify]: Simplify (log -1) into (log -1) 0.328 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.328 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.329 * [backup-simplify]: Simplify (- 0) into 0 0.330 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.337 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.337 * [backup-simplify]: Simplify -1.0 into -1.0 0.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.339 * [backup-simplify]: Simplify (- 0) into 0 0.339 * [backup-simplify]: Simplify (+ 0 0) into 0 0.352 * [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 0.352 * [backup-simplify]: Simplify -0.5 into -0.5 0.353 * [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)))) 0.353 * * * [progress]: simplifying candidates 0.354 * [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))) (- (+ (log 1.0) (* 1.0 N)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (log 1.0) (* 1.0 N)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) 0.356 * * [simplify]: iteration 0: 101 enodes 0.400 * * [simplify]: iteration 1: 213 enodes 0.472 * * [simplify]: iteration 2: 530 enodes 0.731 * * [simplify]: iteration 3: 1557 enodes 1.425 * * [simplify]: iteration complete: 5000 enodes 1.425 * * [simplify]: Extracting #0: cost 40 inf + 0 1.427 * * [simplify]: Extracting #1: cost 375 inf + 1 1.433 * * [simplify]: Extracting #2: cost 1143 inf + 5736 1.449 * * [simplify]: Extracting #3: cost 1267 inf + 39950 1.483 * * [simplify]: Extracting #4: cost 399 inf + 175514 1.557 * * [simplify]: Extracting #5: cost 49 inf + 258629 1.620 * * [simplify]: Extracting #6: cost 23 inf + 265432 1.674 * * [simplify]: Extracting #7: cost 3 inf + 268804 1.755 * * [simplify]: Extracting #8: cost 0 inf + 269563 1.813 * [simplify]: Simplified to: (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (/ (+ N 1.0) N) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (* (* (- (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))) (- (* (log (+ N 1.0)) (* (log (+ N 1.0)) (log (+ N 1.0)))) (* (* (log N) (log N)) (log N))) (+ (* (log N) (+ (log (+ N 1.0)) (log N))) (* (log (+ N 1.0)) (log (+ N 1.0)))) (- (log N)) (* (- (log (+ N 1.0)) (log N)) (+ (log (+ N 1.0)) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log N)) (sqrt (log (+ N 1.0)))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (+ (log (cbrt N)) (log (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (log (+ N 1.0)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (+ (* (- 1.0 N) 1.0) (* N N))) (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))) 0 (log (+ N 1.0)) 0 (log (+ N 1.0)) (log (+ (* (* 1.0 1.0) 1.0) (* (* N N) N))) (log (+ (* (- 1.0 N) 1.0) (* N N))) (log (* (+ N 1.0) (- N 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (+ N 1.0) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (log (+ N 1.0)) (* (log (+ N 1.0)) (log (+ N 1.0)))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (+ (- (* (/ N 1.0) (* (/ N 1.0) -1/2)) (- (log N) (log 1.0))) (* N 1.0)) (- (+ (/ 0.3333333333333333 (* (* N N) N)) (/ 1.0 N)) (/ 0.5 (* N N))) (- (+ (/ 0.3333333333333333 (* (* N N) N)) (/ 1.0 N)) (/ 0.5 (* N N))) (+ (* (/ N 1.0) (* (/ N 1.0) -1/2)) (+ (log 1.0) (* N 1.0))) (+ (log N) (- (/ 1.0 N) (/ 0.5 (* N N)))) (+ (/ 1.0 N) (- (+ 0 (log N)) (/ 0.5 (* N N)))) 1.815 * * * [progress]: adding candidates to table 2.011 * * [progress]: iteration 2 / 4 2.011 * * * [progress]: picking best candidate 2.017 * * * * [pick]: Picked # 2.017 * * * [progress]: localizing error 2.026 * * * [progress]: generating rewritten candidates 2.026 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 2.035 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 2.067 * * * [progress]: generating series expansions 2.067 * * * * [progress]: [ 1 / 2 ] generating series at (2) 2.067 * [backup-simplify]: Simplify (log (/ (+ N 1.0) N)) into (log (/ (+ N 1.0) N)) 2.067 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 2.067 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 2.067 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.067 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.067 * [taylor]: Taking taylor expansion of N in N 2.067 * [backup-simplify]: Simplify 0 into 0 2.067 * [backup-simplify]: Simplify 1 into 1 2.067 * [taylor]: Taking taylor expansion of 1.0 in N 2.067 * [backup-simplify]: Simplify 1.0 into 1.0 2.067 * [taylor]: Taking taylor expansion of N in N 2.067 * [backup-simplify]: Simplify 0 into 0 2.067 * [backup-simplify]: Simplify 1 into 1 2.068 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.069 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.069 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 2.069 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 2.069 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.069 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.069 * [taylor]: Taking taylor expansion of N in N 2.069 * [backup-simplify]: Simplify 0 into 0 2.069 * [backup-simplify]: Simplify 1 into 1 2.069 * [taylor]: Taking taylor expansion of 1.0 in N 2.069 * [backup-simplify]: Simplify 1.0 into 1.0 2.069 * [taylor]: Taking taylor expansion of N in N 2.070 * [backup-simplify]: Simplify 0 into 0 2.070 * [backup-simplify]: Simplify 1 into 1 2.070 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.071 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.071 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 2.072 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 2.072 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 2.073 * [backup-simplify]: Simplify (+ 1 0) into 1 2.074 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 2.087 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 2.088 * [backup-simplify]: Simplify 1.0 into 1.0 2.088 * [backup-simplify]: Simplify (+ 0 0) into 0 2.089 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 2.100 * [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)) 2.101 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 2.103 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (log 1.0) (* 1.0 N)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 2.103 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1.0) (/ 1 N))) into (log (* N (+ (/ 1 N) 1.0))) 2.103 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 2.103 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 2.103 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.103 * [taylor]: Taking taylor expansion of N in N 2.103 * [backup-simplify]: Simplify 0 into 0 2.103 * [backup-simplify]: Simplify 1 into 1 2.104 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.104 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.104 * [taylor]: Taking taylor expansion of N in N 2.104 * [backup-simplify]: Simplify 0 into 0 2.104 * [backup-simplify]: Simplify 1 into 1 2.104 * [backup-simplify]: Simplify (/ 1 1) into 1 2.104 * [taylor]: Taking taylor expansion of 1.0 in N 2.104 * [backup-simplify]: Simplify 1.0 into 1.0 2.105 * [backup-simplify]: Simplify (+ 1 0) into 1 2.105 * [backup-simplify]: Simplify (* 0 1) into 0 2.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.107 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.107 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 2.108 * [backup-simplify]: Simplify (log 1) into 0 2.108 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 2.108 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.108 * [taylor]: Taking taylor expansion of N in N 2.108 * [backup-simplify]: Simplify 0 into 0 2.108 * [backup-simplify]: Simplify 1 into 1 2.108 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.108 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.108 * [taylor]: Taking taylor expansion of N in N 2.108 * [backup-simplify]: Simplify 0 into 0 2.108 * [backup-simplify]: Simplify 1 into 1 2.109 * [backup-simplify]: Simplify (/ 1 1) into 1 2.109 * [taylor]: Taking taylor expansion of 1.0 in N 2.109 * [backup-simplify]: Simplify 1.0 into 1.0 2.109 * [backup-simplify]: Simplify (+ 1 0) into 1 2.110 * [backup-simplify]: Simplify (* 0 1) into 0 2.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.111 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.112 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 2.112 * [backup-simplify]: Simplify (log 1) into 0 2.112 * [backup-simplify]: Simplify 0 into 0 2.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.114 * [backup-simplify]: Simplify (+ 0 0) into 0 2.116 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 2.122 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 2.122 * [backup-simplify]: Simplify 1.0 into 1.0 2.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.123 * [backup-simplify]: Simplify (+ 0 0) into 0 2.124 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 2.135 * [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 2.135 * [backup-simplify]: Simplify -0.5 into -0.5 2.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.136 * [backup-simplify]: Simplify (+ 0 0) into 0 2.137 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 2.149 * [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 2.149 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.150 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (+ (* -0.5 (pow (/ 1 N) 2)) (* 1.0 (/ 1 N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 2.150 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N)))) into (log (* -1 (* N (- 1.0 (/ 1 N))))) 2.150 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 2.150 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 2.150 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 2.150 * [taylor]: Taking taylor expansion of -1 in N 2.150 * [backup-simplify]: Simplify -1 into -1 2.150 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.150 * [taylor]: Taking taylor expansion of N in N 2.150 * [backup-simplify]: Simplify 0 into 0 2.150 * [backup-simplify]: Simplify 1 into 1 2.150 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.150 * [taylor]: Taking taylor expansion of 1.0 in N 2.150 * [backup-simplify]: Simplify 1.0 into 1.0 2.150 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.150 * [taylor]: Taking taylor expansion of N in N 2.150 * [backup-simplify]: Simplify 0 into 0 2.150 * [backup-simplify]: Simplify 1 into 1 2.150 * [backup-simplify]: Simplify (/ 1 1) into 1 2.151 * [backup-simplify]: Simplify (- 1) into -1 2.151 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.151 * [backup-simplify]: Simplify (* 0 -1) into 0 2.151 * [backup-simplify]: Simplify (* -1 0) into 0 2.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.152 * [backup-simplify]: Simplify (- 0) into 0 2.152 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.153 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 2.153 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 2.153 * [backup-simplify]: Simplify (log 1) into 0 2.154 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 2.154 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 2.154 * [taylor]: Taking taylor expansion of -1 in N 2.154 * [backup-simplify]: Simplify -1 into -1 2.154 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.154 * [taylor]: Taking taylor expansion of N in N 2.154 * [backup-simplify]: Simplify 0 into 0 2.154 * [backup-simplify]: Simplify 1 into 1 2.154 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.154 * [taylor]: Taking taylor expansion of 1.0 in N 2.154 * [backup-simplify]: Simplify 1.0 into 1.0 2.154 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.154 * [taylor]: Taking taylor expansion of N in N 2.154 * [backup-simplify]: Simplify 0 into 0 2.154 * [backup-simplify]: Simplify 1 into 1 2.154 * [backup-simplify]: Simplify (/ 1 1) into 1 2.154 * [backup-simplify]: Simplify (- 1) into -1 2.155 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.155 * [backup-simplify]: Simplify (* 0 -1) into 0 2.155 * [backup-simplify]: Simplify (* -1 0) into 0 2.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.156 * [backup-simplify]: Simplify (- 0) into 0 2.156 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.156 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 2.157 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 2.157 * [backup-simplify]: Simplify (log 1) into 0 2.157 * [backup-simplify]: Simplify 0 into 0 2.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.159 * [backup-simplify]: Simplify (- 0) into 0 2.159 * [backup-simplify]: Simplify (+ 0 0) into 0 2.161 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 2.162 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 2.167 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 2.167 * [backup-simplify]: Simplify -1.0 into -1.0 2.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.168 * [backup-simplify]: Simplify (- 0) into 0 2.168 * [backup-simplify]: Simplify (+ 0 0) into 0 2.169 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 2.170 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 2.177 * [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 2.177 * [backup-simplify]: Simplify -0.5 into -0.5 2.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.178 * [backup-simplify]: Simplify (- 0) into 0 2.178 * [backup-simplify]: Simplify (+ 0 0) into 0 2.179 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 2.179 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 2.192 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- 1.0)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (- 1.0)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into -0.3333333333333333 2.192 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 2.194 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 (pow (/ 1 (- N)) 3)) (+ (* -0.5 (pow (/ 1 (- N)) 2)) (* -1.0 (/ 1 (- N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 2.194 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 2.194 * [backup-simplify]: Simplify (/ (+ N 1.0) N) into (/ (+ N 1.0) N) 2.194 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 2.194 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.194 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.194 * [taylor]: Taking taylor expansion of N in N 2.194 * [backup-simplify]: Simplify 0 into 0 2.194 * [backup-simplify]: Simplify 1 into 1 2.194 * [taylor]: Taking taylor expansion of 1.0 in N 2.195 * [backup-simplify]: Simplify 1.0 into 1.0 2.195 * [taylor]: Taking taylor expansion of N in N 2.195 * [backup-simplify]: Simplify 0 into 0 2.195 * [backup-simplify]: Simplify 1 into 1 2.195 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.196 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.196 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 2.196 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 2.196 * [taylor]: Taking taylor expansion of N in N 2.196 * [backup-simplify]: Simplify 0 into 0 2.196 * [backup-simplify]: Simplify 1 into 1 2.196 * [taylor]: Taking taylor expansion of 1.0 in N 2.196 * [backup-simplify]: Simplify 1.0 into 1.0 2.196 * [taylor]: Taking taylor expansion of N in N 2.196 * [backup-simplify]: Simplify 0 into 0 2.196 * [backup-simplify]: Simplify 1 into 1 2.196 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.197 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.197 * [backup-simplify]: Simplify 1.0 into 1.0 2.197 * [backup-simplify]: Simplify (+ 1 0) into 1 2.198 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 2.199 * [backup-simplify]: Simplify 1 into 1 2.199 * [backup-simplify]: Simplify (+ 0 0) into 0 2.200 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 2.200 * [backup-simplify]: Simplify 0 into 0 2.200 * [backup-simplify]: Simplify (+ 0 0) into 0 2.202 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.202 * [backup-simplify]: Simplify 0 into 0 2.202 * [backup-simplify]: Simplify (+ 0 0) into 0 2.203 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.203 * [backup-simplify]: Simplify 0 into 0 2.204 * [backup-simplify]: Simplify (+ 0 0) into 0 2.205 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.205 * [backup-simplify]: Simplify 0 into 0 2.205 * [backup-simplify]: Simplify (+ 0 0) into 0 2.206 * [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 2.206 * [backup-simplify]: Simplify 0 into 0 2.207 * [backup-simplify]: Simplify (+ 0 0) into 0 2.208 * [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 2.208 * [backup-simplify]: Simplify 0 into 0 2.208 * [backup-simplify]: Simplify (+ 1 (* 1.0 (/ 1 N))) into (+ (* 1.0 (/ 1 N)) 1) 2.208 * [backup-simplify]: Simplify (/ (+ (/ 1 N) 1.0) (/ 1 N)) into (* N (+ (/ 1 N) 1.0)) 2.208 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 2.208 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.209 * [taylor]: Taking taylor expansion of N in N 2.209 * [backup-simplify]: Simplify 0 into 0 2.209 * [backup-simplify]: Simplify 1 into 1 2.209 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.209 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.209 * [taylor]: Taking taylor expansion of N in N 2.209 * [backup-simplify]: Simplify 0 into 0 2.209 * [backup-simplify]: Simplify 1 into 1 2.209 * [backup-simplify]: Simplify (/ 1 1) into 1 2.209 * [taylor]: Taking taylor expansion of 1.0 in N 2.209 * [backup-simplify]: Simplify 1.0 into 1.0 2.209 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 2.209 * [taylor]: Taking taylor expansion of N in N 2.209 * [backup-simplify]: Simplify 0 into 0 2.209 * [backup-simplify]: Simplify 1 into 1 2.209 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 2.209 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.209 * [taylor]: Taking taylor expansion of N in N 2.209 * [backup-simplify]: Simplify 0 into 0 2.209 * [backup-simplify]: Simplify 1 into 1 2.210 * [backup-simplify]: Simplify (/ 1 1) into 1 2.210 * [taylor]: Taking taylor expansion of 1.0 in N 2.210 * [backup-simplify]: Simplify 1.0 into 1.0 2.210 * [backup-simplify]: Simplify (+ 1 0) into 1 2.211 * [backup-simplify]: Simplify (* 0 1) into 0 2.211 * [backup-simplify]: Simplify 0 into 0 2.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.212 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.213 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 2.213 * [backup-simplify]: Simplify 1 into 1 2.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.214 * [backup-simplify]: Simplify (+ 0 0) into 0 2.217 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 2.217 * [backup-simplify]: Simplify 1.0 into 1.0 2.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.218 * [backup-simplify]: Simplify (+ 0 0) into 0 2.220 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 2.220 * [backup-simplify]: Simplify 0 into 0 2.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.221 * [backup-simplify]: Simplify (+ 0 0) into 0 2.223 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 2.223 * [backup-simplify]: Simplify 0 into 0 2.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.225 * [backup-simplify]: Simplify (+ 0 0) into 0 2.226 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))) into 0 2.227 * [backup-simplify]: Simplify 0 into 0 2.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.228 * [backup-simplify]: Simplify (+ 0 0) into 0 2.230 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))) into 0 2.230 * [backup-simplify]: Simplify 0 into 0 2.231 * [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 2.232 * [backup-simplify]: Simplify (+ 0 0) into 0 2.234 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))))) into 0 2.234 * [backup-simplify]: Simplify 0 into 0 2.235 * [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 2.235 * [backup-simplify]: Simplify (+ 0 0) into 0 2.238 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))))) into 0 2.238 * [backup-simplify]: Simplify 0 into 0 2.238 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) 1) into (+ (* 1.0 (/ 1 N)) 1) 2.238 * [backup-simplify]: Simplify (/ (+ (/ 1 (- N)) 1.0) (/ 1 (- N))) into (* -1 (* N (- 1.0 (/ 1 N)))) 2.238 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 2.238 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 2.238 * [taylor]: Taking taylor expansion of -1 in N 2.238 * [backup-simplify]: Simplify -1 into -1 2.239 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.239 * [taylor]: Taking taylor expansion of N in N 2.239 * [backup-simplify]: Simplify 0 into 0 2.239 * [backup-simplify]: Simplify 1 into 1 2.239 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.239 * [taylor]: Taking taylor expansion of 1.0 in N 2.239 * [backup-simplify]: Simplify 1.0 into 1.0 2.239 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.239 * [taylor]: Taking taylor expansion of N in N 2.239 * [backup-simplify]: Simplify 0 into 0 2.239 * [backup-simplify]: Simplify 1 into 1 2.240 * [backup-simplify]: Simplify (/ 1 1) into 1 2.240 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 2.240 * [taylor]: Taking taylor expansion of -1 in N 2.240 * [backup-simplify]: Simplify -1 into -1 2.240 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 2.240 * [taylor]: Taking taylor expansion of N in N 2.240 * [backup-simplify]: Simplify 0 into 0 2.240 * [backup-simplify]: Simplify 1 into 1 2.240 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 2.240 * [taylor]: Taking taylor expansion of 1.0 in N 2.240 * [backup-simplify]: Simplify 1.0 into 1.0 2.240 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.240 * [taylor]: Taking taylor expansion of N in N 2.240 * [backup-simplify]: Simplify 0 into 0 2.240 * [backup-simplify]: Simplify 1 into 1 2.240 * [backup-simplify]: Simplify (/ 1 1) into 1 2.241 * [backup-simplify]: Simplify (- 1) into -1 2.241 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.242 * [backup-simplify]: Simplify (* 0 -1) into 0 2.242 * [backup-simplify]: Simplify (* -1 0) into 0 2.242 * [backup-simplify]: Simplify 0 into 0 2.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.243 * [backup-simplify]: Simplify (- 0) into 0 2.244 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.245 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 2.245 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 2.245 * [backup-simplify]: Simplify 1 into 1 2.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.247 * [backup-simplify]: Simplify (- 0) into 0 2.247 * [backup-simplify]: Simplify (+ 0 0) into 0 2.251 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 2.253 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 2.253 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 2.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.255 * [backup-simplify]: Simplify (- 0) into 0 2.255 * [backup-simplify]: Simplify (+ 0 0) into 0 2.257 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 2.258 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 2.258 * [backup-simplify]: Simplify 0 into 0 2.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.260 * [backup-simplify]: Simplify (- 0) into 0 2.260 * [backup-simplify]: Simplify (+ 0 0) into 0 2.261 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 2.263 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 2.263 * [backup-simplify]: Simplify 0 into 0 2.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.264 * [backup-simplify]: Simplify (- 0) into 0 2.265 * [backup-simplify]: Simplify (+ 0 0) into 0 2.266 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0 2.268 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))) into 0 2.268 * [backup-simplify]: Simplify 0 into 0 2.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.269 * [backup-simplify]: Simplify (- 0) into 0 2.270 * [backup-simplify]: Simplify (+ 0 0) into 0 2.271 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0 2.273 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))) into 0 2.273 * [backup-simplify]: Simplify 0 into 0 2.275 * [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 2.275 * [backup-simplify]: Simplify (- 0) into 0 2.275 * [backup-simplify]: Simplify (+ 0 0) into 0 2.277 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0 2.279 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))))) into 0 2.279 * [backup-simplify]: Simplify 0 into 0 2.280 * [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 2.280 * [backup-simplify]: Simplify (- 0) into 0 2.280 * [backup-simplify]: Simplify (+ 0 0) into 0 2.281 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))))) into 0 2.283 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))))) into 0 2.283 * [backup-simplify]: Simplify 0 into 0 2.283 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (- N))) 1) into (+ (* 1.0 (/ 1 N)) 1) 2.283 * * * [progress]: simplifying candidates 2.284 * [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)) (- (+ (log 1.0) (* 1.0 N)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) 2.285 * * [simplify]: iteration 0: 108 enodes 2.308 * * [simplify]: iteration 1: 243 enodes 2.372 * * [simplify]: iteration 2: 619 enodes 2.727 * * [simplify]: iteration 3: 2289 enodes 3.445 * * [simplify]: iteration complete: 5001 enodes 3.445 * * [simplify]: Extracting #0: cost 63 inf + 0 3.446 * * [simplify]: Extracting #1: cost 602 inf + 2 3.459 * * [simplify]: Extracting #2: cost 1549 inf + 6248 3.483 * * [simplify]: Extracting #3: cost 1125 inf + 91302 3.551 * * [simplify]: Extracting #4: cost 313 inf + 241581 3.631 * * [simplify]: Extracting #5: cost 12 inf + 316913 3.704 * * [simplify]: Extracting #6: cost 0 inf + 320141 3.762 * [simplify]: Simplified to: (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)) (/ (cbrt (+ N 1.0)) (cbrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt N))) (log (* (/ (cbrt (+ N 1.0)) (sqrt N)) (cbrt (+ N 1.0)))) (log (/ (cbrt (+ N 1.0)) (sqrt N))) (+ (log (cbrt (+ N 1.0))) (log (cbrt (+ N 1.0)))) (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))) (log (/ (sqrt (+ N 1.0)) N)) (- (log (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) (- (log (* (cbrt N) (cbrt N)))) (log (/ (+ N 1.0) (cbrt N))) (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) 0 (log (/ (+ N 1.0) N)) 0 (log (/ (+ N 1.0) N)) (log (+ N 1.0)) (- (log N)) (log (+ N 1.0)) (log N) (log (/ (+ N 1.0) N)) (log (log (/ (+ N 1.0) N))) (/ (+ 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) N)) (log (/ (+ N 1.0) N)) (exp (/ (+ N 1.0) N)) (* (/ (+ N 1.0) N) (* (/ (+ N 1.0) N) (/ (+ N 1.0) 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)) (/ (cbrt (+ N 1.0)) (cbrt N))) (/ (cbrt (+ N 1.0)) (cbrt N)) (* (/ (cbrt (+ N 1.0)) (sqrt N)) (cbrt (+ N 1.0))) (/ (cbrt (+ N 1.0)) (sqrt N)) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (/ (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)) (/ (sqrt (+ N 1.0)) N) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) 1 (/ (+ N 1.0) N) (/ (/ 1 (cbrt N)) (cbrt N)) (/ (+ N 1.0) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N)) 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) (/ N (cbrt (+ N 1.0))) (/ N (sqrt (+ N 1.0))) (/ N (+ N 1.0)) (/ N (+ N 1.0)) (* N (+ (* (- 1.0 N) 1.0) (* N N))) (* (- N 1.0) N) (+ (- (- (* N 1.0) (log N)) (* (/ N 1.0) (* (/ N 1.0) 1/2))) (log 1.0)) (- (+ (/ 0.3333333333333333 (* (* N N) N)) (/ 1.0 N)) (/ 0.5 (* N N))) (- (+ (/ 0.3333333333333333 (* (* N N) N)) (/ 1.0 N)) (/ 0.5 (* N N))) (+ 1 (/ 1.0 N)) (+ 1 (/ 1.0 N)) (+ 1 (/ 1.0 N)) 3.766 * * * [progress]: adding candidates to table 3.967 * * [progress]: iteration 3 / 4 3.967 * * * [progress]: picking best candidate 3.978 * * * * [pick]: Picked # 3.978 * * * [progress]: localizing error 3.999 * * * [progress]: generating rewritten candidates 3.999 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 4.028 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1) 4.057 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 4.067 * * * [progress]: generating series expansions 4.068 * * * * [progress]: [ 1 / 3 ] generating series at (2) 4.068 * [backup-simplify]: Simplify (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N)))) into (- (log (* (sqrt (/ 1 N)) (+ N 1.0))) (log (sqrt N))) 4.068 * [approximate]: Taking taylor expansion of (- (log (* (sqrt (/ 1 N)) (+ N 1.0))) (log (sqrt N))) in (N) around 0 4.068 * [taylor]: Taking taylor expansion of (- (log (* (sqrt (/ 1 N)) (+ N 1.0))) (log (sqrt N))) in N 4.068 * [taylor]: Taking taylor expansion of (log (* (sqrt (/ 1 N)) (+ N 1.0))) in N 4.068 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 N)) (+ N 1.0)) in N 4.068 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 4.068 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.068 * [taylor]: Taking taylor expansion of N in N 4.068 * [backup-simplify]: Simplify 0 into 0 4.068 * [backup-simplify]: Simplify 1 into 1 4.069 * [backup-simplify]: Simplify (/ 1 1) into 1 4.070 * [backup-simplify]: Simplify (sqrt 0) into 0 4.071 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.071 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 4.071 * [taylor]: Taking taylor expansion of N in N 4.071 * [backup-simplify]: Simplify 0 into 0 4.071 * [backup-simplify]: Simplify 1 into 1 4.071 * [taylor]: Taking taylor expansion of 1.0 in N 4.071 * [backup-simplify]: Simplify 1.0 into 1.0 4.072 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.072 * [backup-simplify]: Simplify (* 0 1.0) into 0 4.073 * [backup-simplify]: Simplify (+ 1 0) into 1 4.074 * [backup-simplify]: Simplify (+ (* 0 1) (* +nan.0 1.0)) into (- +nan.0) 4.075 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 4.075 * [taylor]: Taking taylor expansion of (log (sqrt N)) in N 4.075 * [taylor]: Taking taylor expansion of (sqrt N) in N 4.075 * [taylor]: Taking taylor expansion of N in N 4.075 * [backup-simplify]: Simplify 0 into 0 4.075 * [backup-simplify]: Simplify 1 into 1 4.076 * [backup-simplify]: Simplify (sqrt 0) into 0 4.083 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.083 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 4.083 * [taylor]: Taking taylor expansion of (- (log (* (sqrt (/ 1 N)) (+ N 1.0))) (log (sqrt N))) in N 4.083 * [taylor]: Taking taylor expansion of (log (* (sqrt (/ 1 N)) (+ N 1.0))) in N 4.083 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 N)) (+ N 1.0)) in N 4.084 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 4.084 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.084 * [taylor]: Taking taylor expansion of N in N 4.084 * [backup-simplify]: Simplify 0 into 0 4.084 * [backup-simplify]: Simplify 1 into 1 4.084 * [backup-simplify]: Simplify (/ 1 1) into 1 4.084 * [backup-simplify]: Simplify (sqrt 0) into 0 4.086 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.086 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 4.086 * [taylor]: Taking taylor expansion of N in N 4.086 * [backup-simplify]: Simplify 0 into 0 4.086 * [backup-simplify]: Simplify 1 into 1 4.086 * [taylor]: Taking taylor expansion of 1.0 in N 4.086 * [backup-simplify]: Simplify 1.0 into 1.0 4.086 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.087 * [backup-simplify]: Simplify (* 0 1.0) into 0 4.087 * [backup-simplify]: Simplify (+ 1 0) into 1 4.089 * [backup-simplify]: Simplify (+ (* 0 1) (* +nan.0 1.0)) into (- +nan.0) 4.090 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 4.090 * [taylor]: Taking taylor expansion of (log (sqrt N)) in N 4.090 * [taylor]: Taking taylor expansion of (sqrt N) in N 4.090 * [taylor]: Taking taylor expansion of N in N 4.090 * [backup-simplify]: Simplify 0 into 0 4.090 * [backup-simplify]: Simplify 1 into 1 4.090 * [backup-simplify]: Simplify (sqrt 0) into 0 4.091 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.092 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 4.093 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log +nan.0)) into (+ (log N) (log +nan.0)) 4.093 * [backup-simplify]: Simplify (- (+ (log N) (log +nan.0))) into (- (+ (log N) (log +nan.0))) 4.094 * [backup-simplify]: Simplify (+ (log (- +nan.0)) (- (+ (log N) (log +nan.0)))) into (- (log (- +nan.0)) (+ (log N) (log +nan.0))) 4.096 * [backup-simplify]: Simplify (- (log (- +nan.0)) (+ (log N) (log +nan.0))) into (- (log (- +nan.0)) (+ (log N) (log +nan.0))) 4.096 * [backup-simplify]: Simplify (+ 0 0) into 0 4.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.100 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.103 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 1) (* +nan.0 1.0))) into (- +nan.0) 4.109 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 4.111 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.115 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 4.115 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.116 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 4.116 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.116 * [backup-simplify]: Simplify (+ 0 0) into 0 4.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.119 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.122 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 1) (* +nan.0 1.0)))) into (- +nan.0) 4.131 * [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 4.134 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.142 * [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 4.142 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.142 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 4.143 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.144 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow N 2)) (+ (* (- +nan.0) N) (- (log (- +nan.0)) (+ (log N) (log +nan.0))))) into (- (log (- +nan.0)) (+ (* +nan.0 N) (- (+ (log N) (log +nan.0)) (* +nan.0 (pow N 2))))) 4.144 * [backup-simplify]: Simplify (+ (- (log (sqrt (/ 1 N)))) (log (/ (+ (/ 1 N) 1.0) (sqrt (/ 1 N))))) into (- (log (* (sqrt N) (+ (/ 1 N) 1.0))) (log (sqrt (/ 1 N)))) 4.144 * [approximate]: Taking taylor expansion of (- (log (* (sqrt N) (+ (/ 1 N) 1.0))) (log (sqrt (/ 1 N)))) in (N) around 0 4.144 * [taylor]: Taking taylor expansion of (- (log (* (sqrt N) (+ (/ 1 N) 1.0))) (log (sqrt (/ 1 N)))) in N 4.144 * [taylor]: Taking taylor expansion of (log (* (sqrt N) (+ (/ 1 N) 1.0))) in N 4.144 * [taylor]: Taking taylor expansion of (* (sqrt N) (+ (/ 1 N) 1.0)) in N 4.144 * [taylor]: Taking taylor expansion of (sqrt N) in N 4.144 * [taylor]: Taking taylor expansion of N in N 4.144 * [backup-simplify]: Simplify 0 into 0 4.145 * [backup-simplify]: Simplify 1 into 1 4.145 * [backup-simplify]: Simplify (sqrt 0) into 0 4.146 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.146 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 4.146 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.146 * [taylor]: Taking taylor expansion of N in N 4.146 * [backup-simplify]: Simplify 0 into 0 4.146 * [backup-simplify]: Simplify 1 into 1 4.146 * [backup-simplify]: Simplify (/ 1 1) into 1 4.146 * [taylor]: Taking taylor expansion of 1.0 in N 4.146 * [backup-simplify]: Simplify 1.0 into 1.0 4.146 * [backup-simplify]: Simplify (+ 1 0) into 1 4.147 * [backup-simplify]: Simplify (* 0 1) into 0 4.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.147 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.148 * [backup-simplify]: Simplify (+ (* 0 1.0) (* +nan.0 1)) into (- +nan.0) 4.149 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 4.149 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 N))) in N 4.149 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 4.149 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.149 * [taylor]: Taking taylor expansion of N in N 4.149 * [backup-simplify]: Simplify 0 into 0 4.149 * [backup-simplify]: Simplify 1 into 1 4.149 * [backup-simplify]: Simplify (/ 1 1) into 1 4.149 * [backup-simplify]: Simplify (sqrt 0) into 0 4.150 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.150 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 4.150 * [taylor]: Taking taylor expansion of (- (log (* (sqrt N) (+ (/ 1 N) 1.0))) (log (sqrt (/ 1 N)))) in N 4.150 * [taylor]: Taking taylor expansion of (log (* (sqrt N) (+ (/ 1 N) 1.0))) in N 4.150 * [taylor]: Taking taylor expansion of (* (sqrt N) (+ (/ 1 N) 1.0)) in N 4.150 * [taylor]: Taking taylor expansion of (sqrt N) in N 4.150 * [taylor]: Taking taylor expansion of N in N 4.150 * [backup-simplify]: Simplify 0 into 0 4.150 * [backup-simplify]: Simplify 1 into 1 4.151 * [backup-simplify]: Simplify (sqrt 0) into 0 4.151 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.151 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 4.151 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.151 * [taylor]: Taking taylor expansion of N in N 4.151 * [backup-simplify]: Simplify 0 into 0 4.151 * [backup-simplify]: Simplify 1 into 1 4.152 * [backup-simplify]: Simplify (/ 1 1) into 1 4.152 * [taylor]: Taking taylor expansion of 1.0 in N 4.152 * [backup-simplify]: Simplify 1.0 into 1.0 4.152 * [backup-simplify]: Simplify (+ 1 0) into 1 4.152 * [backup-simplify]: Simplify (* 0 1) into 0 4.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.153 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.154 * [backup-simplify]: Simplify (+ (* 0 1.0) (* +nan.0 1)) into (- +nan.0) 4.154 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 4.154 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 N))) in N 4.155 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 4.155 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.155 * [taylor]: Taking taylor expansion of N in N 4.155 * [backup-simplify]: Simplify 0 into 0 4.155 * [backup-simplify]: Simplify 1 into 1 4.155 * [backup-simplify]: Simplify (/ 1 1) into 1 4.155 * [backup-simplify]: Simplify (sqrt 0) into 0 4.156 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.156 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 4.157 * [backup-simplify]: Simplify (- (log +nan.0)) into (- (log +nan.0)) 4.158 * [backup-simplify]: Simplify (+ (log (- +nan.0)) (- (log +nan.0))) into (- (log (- +nan.0)) (log +nan.0)) 4.159 * [backup-simplify]: Simplify (- (log (- +nan.0)) (log +nan.0)) into (- (log (- +nan.0)) (log +nan.0)) 4.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.160 * [backup-simplify]: Simplify (+ 0 0) into 0 4.162 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.163 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 1.0) (* +nan.0 1))) into (- +nan.0) 4.168 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 4.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.170 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.175 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 4.176 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.176 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 4.176 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.177 * [backup-simplify]: Simplify (+ 0 0) into 0 4.179 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.182 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 1.0) (* +nan.0 1)))) into (- +nan.0) 4.194 * [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 4.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.197 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.205 * [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 4.205 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.205 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 4.206 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.207 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 N) 2)) (+ (* (- +nan.0) (/ 1 N)) (- (log (- +nan.0)) (log +nan.0)))) into (- (log (- +nan.0)) (+ (* +nan.0 (/ 1 (pow N 2))) (- (log +nan.0) (* +nan.0 (/ 1 N))))) 4.208 * [backup-simplify]: Simplify (+ (- (log (sqrt (/ 1 (- N))))) (log (/ (+ (/ 1 (- N)) 1.0) (sqrt (/ 1 (- N)))))) into (- (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))) (log (sqrt (/ -1 N)))) 4.208 * [approximate]: Taking taylor expansion of (- (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))) (log (sqrt (/ -1 N)))) in (N) around 0 4.208 * [taylor]: Taking taylor expansion of (- (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))) (log (sqrt (/ -1 N)))) in N 4.208 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))) in N 4.208 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) in N 4.208 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 4.208 * [taylor]: Taking taylor expansion of 1.0 in N 4.208 * [backup-simplify]: Simplify 1.0 into 1.0 4.208 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.208 * [taylor]: Taking taylor expansion of N in N 4.208 * [backup-simplify]: Simplify 0 into 0 4.208 * [backup-simplify]: Simplify 1 into 1 4.208 * [backup-simplify]: Simplify (/ 1 1) into 1 4.208 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 4.208 * [taylor]: Taking taylor expansion of (/ -1 N) in N 4.208 * [taylor]: Taking taylor expansion of -1 in N 4.208 * [backup-simplify]: Simplify -1 into -1 4.208 * [taylor]: Taking taylor expansion of N in N 4.208 * [backup-simplify]: Simplify 0 into 0 4.208 * [backup-simplify]: Simplify 1 into 1 4.208 * [backup-simplify]: Simplify (/ -1 1) into -1 4.209 * [backup-simplify]: Simplify (sqrt 0) into 0 4.209 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.210 * [backup-simplify]: Simplify (- 1) into -1 4.210 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.210 * [backup-simplify]: Simplify (/ -1 +nan.0) into +nan.0 4.210 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 4.210 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 N))) in N 4.210 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 4.210 * [taylor]: Taking taylor expansion of (/ -1 N) in N 4.210 * [taylor]: Taking taylor expansion of -1 in N 4.211 * [backup-simplify]: Simplify -1 into -1 4.211 * [taylor]: Taking taylor expansion of N in N 4.211 * [backup-simplify]: Simplify 0 into 0 4.211 * [backup-simplify]: Simplify 1 into 1 4.211 * [backup-simplify]: Simplify (/ -1 1) into -1 4.211 * [backup-simplify]: Simplify (sqrt 0) into 0 4.212 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.212 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 4.212 * [taylor]: Taking taylor expansion of (- (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))) (log (sqrt (/ -1 N)))) in N 4.212 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))) in N 4.212 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) in N 4.212 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 4.212 * [taylor]: Taking taylor expansion of 1.0 in N 4.212 * [backup-simplify]: Simplify 1.0 into 1.0 4.212 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.212 * [taylor]: Taking taylor expansion of N in N 4.212 * [backup-simplify]: Simplify 0 into 0 4.212 * [backup-simplify]: Simplify 1 into 1 4.212 * [backup-simplify]: Simplify (/ 1 1) into 1 4.213 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 4.213 * [taylor]: Taking taylor expansion of (/ -1 N) in N 4.213 * [taylor]: Taking taylor expansion of -1 in N 4.213 * [backup-simplify]: Simplify -1 into -1 4.213 * [taylor]: Taking taylor expansion of N in N 4.213 * [backup-simplify]: Simplify 0 into 0 4.213 * [backup-simplify]: Simplify 1 into 1 4.213 * [backup-simplify]: Simplify (/ -1 1) into -1 4.213 * [backup-simplify]: Simplify (sqrt 0) into 0 4.214 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.214 * [backup-simplify]: Simplify (- 1) into -1 4.214 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.215 * [backup-simplify]: Simplify (/ -1 +nan.0) into +nan.0 4.215 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 4.215 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 N))) in N 4.215 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 4.215 * [taylor]: Taking taylor expansion of (/ -1 N) in N 4.215 * [taylor]: Taking taylor expansion of -1 in N 4.215 * [backup-simplify]: Simplify -1 into -1 4.215 * [taylor]: Taking taylor expansion of N in N 4.215 * [backup-simplify]: Simplify 0 into 0 4.215 * [backup-simplify]: Simplify 1 into 1 4.215 * [backup-simplify]: Simplify (/ -1 1) into -1 4.215 * [backup-simplify]: Simplify (sqrt 0) into 0 4.216 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.216 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 4.217 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log +nan.0)) into (- (log +nan.0) (log N)) 4.218 * [backup-simplify]: Simplify (- (log +nan.0)) into (- (log +nan.0)) 4.218 * [backup-simplify]: Simplify (+ (- (log +nan.0) (log N)) (- (log +nan.0))) into (- (log N)) 4.218 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 4.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.219 * [backup-simplify]: Simplify (- 0) into 0 4.220 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.221 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.224 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.227 * [backup-simplify]: Simplify (- (/ 1.0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 4.234 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow +nan.0 1)))) 1) into +nan.0 4.235 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.238 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.245 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 4.245 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.246 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 4.247 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.248 * [backup-simplify]: Simplify (- 0) into 0 4.248 * [backup-simplify]: Simplify (+ 0 0) into 0 4.250 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.254 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.258 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 4.274 * [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 4.275 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.279 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.296 * [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 4.296 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.297 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 4.297 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.299 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- N)) 2)) (+ (* (- +nan.0) (/ 1 (- N))) (- (log (/ 1 (- N)))))) into (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (log (/ -1 N)) (* +nan.0 (/ 1 N))))) 4.299 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1) 4.299 * [backup-simplify]: Simplify (/ (+ N 1.0) (sqrt N)) into (* (sqrt (/ 1 N)) (+ N 1.0)) 4.299 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 N)) (+ N 1.0)) in (N) around 0 4.299 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 N)) (+ N 1.0)) in N 4.299 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 4.299 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.299 * [taylor]: Taking taylor expansion of N in N 4.299 * [backup-simplify]: Simplify 0 into 0 4.299 * [backup-simplify]: Simplify 1 into 1 4.299 * [backup-simplify]: Simplify (/ 1 1) into 1 4.300 * [backup-simplify]: Simplify (sqrt 0) into 0 4.301 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.301 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 4.301 * [taylor]: Taking taylor expansion of N in N 4.301 * [backup-simplify]: Simplify 0 into 0 4.301 * [backup-simplify]: Simplify 1 into 1 4.301 * [taylor]: Taking taylor expansion of 1.0 in N 4.301 * [backup-simplify]: Simplify 1.0 into 1.0 4.301 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 N)) (+ N 1.0)) in N 4.301 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 4.301 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.301 * [taylor]: Taking taylor expansion of N in N 4.301 * [backup-simplify]: Simplify 0 into 0 4.301 * [backup-simplify]: Simplify 1 into 1 4.302 * [backup-simplify]: Simplify (/ 1 1) into 1 4.302 * [backup-simplify]: Simplify (sqrt 0) into 0 4.303 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.303 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 4.303 * [taylor]: Taking taylor expansion of N in N 4.303 * [backup-simplify]: Simplify 0 into 0 4.303 * [backup-simplify]: Simplify 1 into 1 4.303 * [taylor]: Taking taylor expansion of 1.0 in N 4.303 * [backup-simplify]: Simplify 1.0 into 1.0 4.303 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.304 * [backup-simplify]: Simplify (* 0 1.0) into 0 4.304 * [backup-simplify]: Simplify 0 into 0 4.304 * [backup-simplify]: Simplify (+ 1 0) into 1 4.305 * [backup-simplify]: Simplify (+ (* 0 1) (* +nan.0 1.0)) into (- +nan.0) 4.305 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.305 * [backup-simplify]: Simplify (+ 0 0) into 0 4.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.308 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.309 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 1) (* +nan.0 1.0))) into (- +nan.0) 4.310 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.310 * [backup-simplify]: Simplify (+ 0 0) into 0 4.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.313 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.315 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 1) (* +nan.0 1.0)))) into (- +nan.0) 4.315 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.316 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow N 2)) (+ (* (- +nan.0) N) (- +nan.0))) into (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) 4.317 * [backup-simplify]: Simplify (/ (+ (/ 1 N) 1.0) (sqrt (/ 1 N))) into (* (sqrt N) (+ (/ 1 N) 1.0)) 4.317 * [approximate]: Taking taylor expansion of (* (sqrt N) (+ (/ 1 N) 1.0)) in (N) around 0 4.317 * [taylor]: Taking taylor expansion of (* (sqrt N) (+ (/ 1 N) 1.0)) in N 4.317 * [taylor]: Taking taylor expansion of (sqrt N) in N 4.317 * [taylor]: Taking taylor expansion of N in N 4.317 * [backup-simplify]: Simplify 0 into 0 4.317 * [backup-simplify]: Simplify 1 into 1 4.317 * [backup-simplify]: Simplify (sqrt 0) into 0 4.318 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.318 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 4.318 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.318 * [taylor]: Taking taylor expansion of N in N 4.318 * [backup-simplify]: Simplify 0 into 0 4.318 * [backup-simplify]: Simplify 1 into 1 4.318 * [backup-simplify]: Simplify (/ 1 1) into 1 4.318 * [taylor]: Taking taylor expansion of 1.0 in N 4.318 * [backup-simplify]: Simplify 1.0 into 1.0 4.318 * [taylor]: Taking taylor expansion of (* (sqrt N) (+ (/ 1 N) 1.0)) in N 4.318 * [taylor]: Taking taylor expansion of (sqrt N) in N 4.318 * [taylor]: Taking taylor expansion of N in N 4.318 * [backup-simplify]: Simplify 0 into 0 4.318 * [backup-simplify]: Simplify 1 into 1 4.318 * [backup-simplify]: Simplify (sqrt 0) into 0 4.319 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.319 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 4.319 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.319 * [taylor]: Taking taylor expansion of N in N 4.319 * [backup-simplify]: Simplify 0 into 0 4.319 * [backup-simplify]: Simplify 1 into 1 4.319 * [backup-simplify]: Simplify (/ 1 1) into 1 4.319 * [taylor]: Taking taylor expansion of 1.0 in N 4.319 * [backup-simplify]: Simplify 1.0 into 1.0 4.320 * [backup-simplify]: Simplify (+ 1 0) into 1 4.320 * [backup-simplify]: Simplify (* 0 1) into 0 4.320 * [backup-simplify]: Simplify 0 into 0 4.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.321 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.322 * [backup-simplify]: Simplify (+ (* 0 1.0) (* +nan.0 1)) into (- +nan.0) 4.322 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.323 * [backup-simplify]: Simplify (+ 0 0) into 0 4.325 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.326 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 1.0) (* +nan.0 1))) into (- +nan.0) 4.326 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.327 * [backup-simplify]: Simplify (+ 0 0) into 0 4.329 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.332 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 1.0) (* +nan.0 1)))) into (- +nan.0) 4.332 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.333 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 N) 2)) (+ (* (- +nan.0) (/ 1 N)) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 N)) (- +nan.0))))) 4.333 * [backup-simplify]: Simplify (/ (+ (/ 1 (- N)) 1.0) (sqrt (/ 1 (- N)))) into (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) 4.333 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) in (N) around 0 4.333 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) in N 4.333 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 4.334 * [taylor]: Taking taylor expansion of 1.0 in N 4.334 * [backup-simplify]: Simplify 1.0 into 1.0 4.334 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.334 * [taylor]: Taking taylor expansion of N in N 4.334 * [backup-simplify]: Simplify 0 into 0 4.334 * [backup-simplify]: Simplify 1 into 1 4.334 * [backup-simplify]: Simplify (/ 1 1) into 1 4.334 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 4.334 * [taylor]: Taking taylor expansion of (/ -1 N) in N 4.334 * [taylor]: Taking taylor expansion of -1 in N 4.334 * [backup-simplify]: Simplify -1 into -1 4.334 * [taylor]: Taking taylor expansion of N in N 4.334 * [backup-simplify]: Simplify 0 into 0 4.334 * [backup-simplify]: Simplify 1 into 1 4.334 * [backup-simplify]: Simplify (/ -1 1) into -1 4.334 * [backup-simplify]: Simplify (sqrt 0) into 0 4.335 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.335 * [backup-simplify]: Simplify (- 1) into -1 4.336 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.336 * [backup-simplify]: Simplify (/ -1 +nan.0) into +nan.0 4.336 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) in N 4.336 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 4.336 * [taylor]: Taking taylor expansion of 1.0 in N 4.336 * [backup-simplify]: Simplify 1.0 into 1.0 4.336 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.336 * [taylor]: Taking taylor expansion of N in N 4.336 * [backup-simplify]: Simplify 0 into 0 4.336 * [backup-simplify]: Simplify 1 into 1 4.336 * [backup-simplify]: Simplify (/ 1 1) into 1 4.336 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 4.336 * [taylor]: Taking taylor expansion of (/ -1 N) in N 4.336 * [taylor]: Taking taylor expansion of -1 in N 4.336 * [backup-simplify]: Simplify -1 into -1 4.336 * [taylor]: Taking taylor expansion of N in N 4.336 * [backup-simplify]: Simplify 0 into 0 4.336 * [backup-simplify]: Simplify 1 into 1 4.337 * [backup-simplify]: Simplify (/ -1 1) into -1 4.337 * [backup-simplify]: Simplify (sqrt 0) into 0 4.338 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.338 * [backup-simplify]: Simplify (- 1) into -1 4.338 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.338 * [backup-simplify]: Simplify (/ -1 +nan.0) into +nan.0 4.339 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.339 * [backup-simplify]: Simplify (- 0) into 0 4.340 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.340 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.342 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.343 * [backup-simplify]: Simplify (- (/ 1.0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 4.344 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.344 * [backup-simplify]: Simplify (- 0) into 0 4.345 * [backup-simplify]: Simplify (+ 0 0) into 0 4.345 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.347 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.350 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 4.350 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.351 * [backup-simplify]: Simplify (+ (* (- +nan.0) (/ 1 (- N))) (+ (- +nan.0) (* +nan.0 (/ 1 (/ 1 (- N)))))) into (- (+ (* +nan.0 (/ 1 N)) (- (+ (* +nan.0 N) (- +nan.0))))) 4.351 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 4.351 * [backup-simplify]: Simplify (log (sqrt N)) into (log (sqrt N)) 4.351 * [approximate]: Taking taylor expansion of (log (sqrt N)) in (N) around 0 4.351 * [taylor]: Taking taylor expansion of (log (sqrt N)) in N 4.351 * [taylor]: Taking taylor expansion of (sqrt N) in N 4.351 * [taylor]: Taking taylor expansion of N in N 4.351 * [backup-simplify]: Simplify 0 into 0 4.351 * [backup-simplify]: Simplify 1 into 1 4.351 * [backup-simplify]: Simplify (sqrt 0) into 0 4.352 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.353 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 4.353 * [taylor]: Taking taylor expansion of (log (sqrt N)) in N 4.353 * [taylor]: Taking taylor expansion of (sqrt N) in N 4.353 * [taylor]: Taking taylor expansion of N in N 4.353 * [backup-simplify]: Simplify 0 into 0 4.353 * [backup-simplify]: Simplify 1 into 1 4.353 * [backup-simplify]: Simplify (sqrt 0) into 0 4.354 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.354 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 4.354 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log +nan.0)) into (+ (log N) (log +nan.0)) 4.355 * [backup-simplify]: Simplify (+ (log N) (log +nan.0)) into (+ (log N) (log +nan.0)) 4.356 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.360 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 4.360 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.362 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.377 * [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 4.377 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.378 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) (+ (log N) (log +nan.0)))) into (- (+ (log N) (log +nan.0)) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) 4.378 * [backup-simplify]: Simplify (log (sqrt (/ 1 N))) into (log (sqrt (/ 1 N))) 4.378 * [approximate]: Taking taylor expansion of (log (sqrt (/ 1 N))) in (N) around 0 4.378 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 N))) in N 4.378 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 4.378 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.378 * [taylor]: Taking taylor expansion of N in N 4.378 * [backup-simplify]: Simplify 0 into 0 4.378 * [backup-simplify]: Simplify 1 into 1 4.378 * [backup-simplify]: Simplify (/ 1 1) into 1 4.379 * [backup-simplify]: Simplify (sqrt 0) into 0 4.380 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.380 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 4.380 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 N))) in N 4.381 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 4.381 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.381 * [taylor]: Taking taylor expansion of N in N 4.381 * [backup-simplify]: Simplify 0 into 0 4.381 * [backup-simplify]: Simplify 1 into 1 4.381 * [backup-simplify]: Simplify (/ 1 1) into 1 4.383 * [backup-simplify]: Simplify (sqrt 0) into 0 4.385 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 4.385 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 4.386 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 4.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.389 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.395 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 4.395 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.400 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.415 * [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 4.415 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.415 * [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))))) 4.416 * [backup-simplify]: Simplify (log (sqrt (/ 1 (- N)))) into (log (sqrt (/ -1 N))) 4.416 * [approximate]: Taking taylor expansion of (log (sqrt (/ -1 N))) in (N) around 0 4.416 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 N))) in N 4.416 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 4.416 * [taylor]: Taking taylor expansion of (/ -1 N) in N 4.416 * [taylor]: Taking taylor expansion of -1 in N 4.416 * [backup-simplify]: Simplify -1 into -1 4.416 * [taylor]: Taking taylor expansion of N in N 4.416 * [backup-simplify]: Simplify 0 into 0 4.416 * [backup-simplify]: Simplify 1 into 1 4.416 * [backup-simplify]: Simplify (/ -1 1) into -1 4.417 * [backup-simplify]: Simplify (sqrt 0) into 0 4.418 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.418 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 4.418 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 N))) in N 4.419 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 4.419 * [taylor]: Taking taylor expansion of (/ -1 N) in N 4.419 * [taylor]: Taking taylor expansion of -1 in N 4.419 * [backup-simplify]: Simplify -1 into -1 4.419 * [taylor]: Taking taylor expansion of N in N 4.419 * [backup-simplify]: Simplify 0 into 0 4.419 * [backup-simplify]: Simplify 1 into 1 4.419 * [backup-simplify]: Simplify (/ -1 1) into -1 4.419 * [backup-simplify]: Simplify (sqrt 0) into 0 4.421 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.421 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 4.422 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 4.422 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.426 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.432 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 4.432 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.433 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.437 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.450 * [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 4.451 * [backup-simplify]: Simplify +nan.0 into +nan.0 4.451 * [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))))) 4.451 * * * [progress]: simplifying candidates 4.454 * [simplify]: Simplifying: (* (/ 1 (sqrt N)) (/ (+ N 1.0) (sqrt N))) (* (exp (- (log (sqrt N)))) (/ (+ N 1.0) (sqrt N))) (log (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))))) (exp (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))))) (* (cbrt (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))))) (cbrt (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N)))))) (cbrt (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))))) (* (* (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N)))) (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))))) (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))))) (sqrt (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))))) (sqrt (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))))) (+ (pow (- (log (sqrt N))) 3) (pow (log (/ (+ N 1.0) (sqrt N))) 3)) (+ (* (- (log (sqrt N))) (- (log (sqrt N)))) (- (* (log (/ (+ N 1.0) (sqrt N))) (log (/ (+ N 1.0) (sqrt N)))) (* (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N)))))) (- (* (- (log (sqrt N))) (- (log (sqrt N)))) (* (log (/ (+ N 1.0) (sqrt N))) (log (/ (+ N 1.0) (sqrt N))))) (- (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N)))) (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N)))) (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N)))) (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N)))) (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N)))) (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N)))) (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N)))) (+ (- (log (sqrt N))) (log (* (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N)))))) (+ (- (log (sqrt N))) (log (sqrt (/ (+ N 1.0) (sqrt N))))) (+ (- (log (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (sqrt N)) (cbrt (sqrt N)))))) (+ (- (log (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt (* (cbrt N) (cbrt N)))))) (+ (- (log (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt (sqrt N))))) (+ (- (log (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt 1)))) (+ (- (log (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt (sqrt N))))) (+ (- (log (sqrt N))) (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1))) (+ (- (log (sqrt N))) (log (/ (sqrt (+ N 1.0)) (* (cbrt (sqrt N)) (cbrt (sqrt N)))))) (+ (- (log (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt (* (cbrt N) (cbrt N)))))) (+ (- (log (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt (sqrt N))))) (+ (- (log (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt 1)))) (+ (- (log (sqrt N))) (log (/ (sqrt (+ N 1.0)) (sqrt (sqrt N))))) (+ (- (log (sqrt N))) (log (/ (sqrt (+ N 1.0)) 1))) (+ (- (log (sqrt N))) (log (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N)))))) (+ (- (log (sqrt N))) (log (/ 1 (sqrt (* (cbrt N) (cbrt N)))))) (+ (- (log (sqrt N))) (log (/ 1 (sqrt (sqrt N))))) (+ (- (log (sqrt N))) (log (/ 1 (sqrt 1)))) (+ (- (log (sqrt N))) (log (/ 1 (sqrt (sqrt N))))) (+ (- (log (sqrt N))) (log (/ 1 1))) (+ (- (log (sqrt N))) (log (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N)))))) (+ (- (log (sqrt N))) (log (/ 1 (sqrt (* (cbrt N) (cbrt N)))))) (+ (- (log (sqrt N))) (log (/ 1 (sqrt (sqrt N))))) (+ (- (log (sqrt N))) (log (/ 1 (sqrt 1)))) (+ (- (log (sqrt N))) (log (/ 1 (sqrt (sqrt N))))) (+ (- (log (sqrt N))) (log (/ 1 1))) (+ (- (log (sqrt N))) (log 1)) (+ (- (log (sqrt N))) (log (+ N 1.0))) (+ (- (log (cbrt (sqrt N)))) (log (/ (+ N 1.0) (sqrt N)))) (+ (- (log (sqrt (cbrt N)))) (log (/ (+ N 1.0) (sqrt N)))) (+ (- (log (sqrt (sqrt N)))) (log (/ (+ N 1.0) (sqrt N)))) (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N)))) (+ (- (log (sqrt (sqrt N)))) (log (/ (+ N 1.0) (sqrt N)))) (+ (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N)))) (+ (- (log (sqrt N))) (log (+ N 1.0))) (- (log (sqrt N)) (log (/ (+ N 1.0) (sqrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (exp (/ (+ N 1.0) (sqrt N))) (/ (* (* (+ N 1.0) (+ N 1.0)) (+ N 1.0)) (* (* (sqrt N) (sqrt N)) (sqrt N))) (* (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N)))) (cbrt (/ (+ N 1.0) (sqrt N))) (* (* (/ (+ N 1.0) (sqrt N)) (/ (+ N 1.0) (sqrt N))) (/ (+ N 1.0) (sqrt N))) (sqrt (/ (+ N 1.0) (sqrt N))) (sqrt (/ (+ N 1.0) (sqrt N))) (- (+ N 1.0)) (- (sqrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (* (cbrt (sqrt N)) (cbrt (sqrt N)))) (/ (cbrt (+ N 1.0)) (cbrt (sqrt N))) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt (* (cbrt N) (cbrt N)))) (/ (cbrt (+ N 1.0)) (sqrt (cbrt N))) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt (sqrt N))) (/ (cbrt (+ N 1.0)) (sqrt (sqrt N))) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt 1)) (/ (cbrt (+ N 1.0)) (sqrt N)) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (sqrt (sqrt N))) (/ (cbrt (+ N 1.0)) (sqrt (sqrt N))) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) 1) (/ (cbrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (* (cbrt (sqrt N)) (cbrt (sqrt N)))) (/ (sqrt (+ N 1.0)) (cbrt (sqrt N))) (/ (sqrt (+ N 1.0)) (sqrt (* (cbrt N) (cbrt N)))) (/ (sqrt (+ N 1.0)) (sqrt (cbrt N))) (/ (sqrt (+ N 1.0)) (sqrt (sqrt N))) (/ (sqrt (+ N 1.0)) (sqrt (sqrt N))) (/ (sqrt (+ N 1.0)) (sqrt 1)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt (sqrt N))) (/ (sqrt (+ N 1.0)) (sqrt (sqrt N))) (/ (sqrt (+ N 1.0)) 1) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N)))) (/ (+ N 1.0) (cbrt (sqrt N))) (/ 1 (sqrt (* (cbrt N) (cbrt N)))) (/ (+ N 1.0) (sqrt (cbrt N))) (/ 1 (sqrt (sqrt N))) (/ (+ N 1.0) (sqrt (sqrt N))) (/ 1 (sqrt 1)) (/ (+ N 1.0) (sqrt N)) (/ 1 (sqrt (sqrt N))) (/ (+ N 1.0) (sqrt (sqrt N))) (/ 1 1) (/ (+ N 1.0) (sqrt N)) (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N)))) (/ (+ N 1.0) (cbrt (sqrt N))) (/ 1 (sqrt (* (cbrt N) (cbrt N)))) (/ (+ N 1.0) (sqrt (cbrt N))) (/ 1 (sqrt (sqrt N))) (/ (+ N 1.0) (sqrt (sqrt N))) (/ 1 (sqrt 1)) (/ (+ N 1.0) (sqrt N)) (/ 1 (sqrt (sqrt N))) (/ (+ N 1.0) (sqrt (sqrt N))) (/ 1 1) (/ (+ N 1.0) (sqrt N)) (/ 1 (sqrt N)) (/ (sqrt N) (+ N 1.0)) (/ (+ N 1.0) (* (cbrt (sqrt N)) (cbrt (sqrt N)))) (/ (+ N 1.0) (sqrt (* (cbrt N) (cbrt N)))) (/ (+ N 1.0) (sqrt (sqrt N))) (/ (+ N 1.0) (sqrt 1)) (/ (+ N 1.0) (sqrt (sqrt N))) (/ (+ N 1.0) 1) (/ (sqrt N) (cbrt (+ N 1.0))) (/ (sqrt N) (sqrt (+ N 1.0))) (/ (sqrt N) (+ N 1.0)) (/ (sqrt N) (+ N 1.0)) (* (sqrt N) (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (* (sqrt N) (- N 1.0)) (log (* (cbrt (sqrt N)) (cbrt (sqrt N)))) (log (cbrt (sqrt N))) (log (sqrt (* (cbrt N) (cbrt N)))) (log (sqrt (cbrt N))) (log (sqrt (sqrt N))) (log (sqrt (sqrt N))) (log (sqrt 1)) (log (sqrt N)) (log (sqrt (sqrt N))) (log (sqrt (sqrt N))) (log 1) (log (sqrt N)) (log N) (log (sqrt N)) (log N) (log (log (sqrt N))) (exp (log (sqrt N))) (* (cbrt (log (sqrt N))) (cbrt (log (sqrt N)))) (cbrt (log (sqrt N))) (* (* (log (sqrt N)) (log (sqrt N))) (log (sqrt N))) (sqrt (log (sqrt N))) (sqrt (log (sqrt N))) (- (log (- +nan.0)) (+ (* +nan.0 N) (- (+ (log N) (log +nan.0)) (* +nan.0 (pow N 2))))) (- (log (- +nan.0)) (+ (* +nan.0 (/ 1 (pow N 2))) (- (log +nan.0) (* +nan.0 (/ 1 N))))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (log (/ -1 N)) (* +nan.0 (/ 1 N))))) (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 N)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 N)) (- (+ (* +nan.0 N) (- +nan.0))))) (- (+ (log N) (log +nan.0)) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) (- (log +nan.0) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 4.458 * * [simplify]: iteration 0: 199 enodes 4.507 * * [simplify]: iteration 1: 463 enodes 4.633 * * [simplify]: iteration 2: 1294 enodes 5.098 * * [simplify]: iteration complete: 5000 enodes 5.098 * * [simplify]: Extracting #0: cost 91 inf + 0 5.100 * * [simplify]: Extracting #1: cost 790 inf + 2 5.105 * * [simplify]: Extracting #2: cost 1764 inf + 1812 5.115 * * [simplify]: Extracting #3: cost 1904 inf + 37003 5.191 * * [simplify]: Extracting #4: cost 834 inf + 337691 5.344 * * [simplify]: Extracting #5: cost 91 inf + 624605 5.522 * * [simplify]: Extracting #6: cost 5 inf + 656274 5.701 * * [simplify]: Extracting #7: cost 0 inf + 656871 5.865 * [simplify]: Simplified to: (/ (/ (+ N 1.0) (sqrt N)) (sqrt N)) (/ (/ (+ N 1.0) (sqrt N)) (sqrt N)) (log (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N)))) (/ (/ (+ N 1.0) (sqrt N)) (sqrt N)) (* (cbrt (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N)))) (cbrt (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N))))) (cbrt (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N)))) (* (* (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N))) (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N)))) (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N)))) (sqrt (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N)))) (sqrt (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N)))) (+ (* (* (log (/ (+ N 1.0) (sqrt N))) (log (/ (+ N 1.0) (sqrt N)))) (log (/ (+ N 1.0) (sqrt N)))) (* (* (log (sqrt N)) (log (sqrt N))) (- (log (sqrt N))))) (+ (+ (* (log (sqrt N)) (log (sqrt N))) (* (log (/ (+ N 1.0) (sqrt N))) (log (/ (+ N 1.0) (sqrt N))))) (* (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N)))) (- (* (log (sqrt N)) (log (sqrt N))) (* (log (/ (+ N 1.0) (sqrt N))) (log (/ (+ N 1.0) (sqrt N))))) (- 0 (log (+ N 1.0))) (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N))) (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N))) (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N))) (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N))) (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N))) (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N))) (- (log (* (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N))))) (log (sqrt N))) (- (log (sqrt (/ (+ N 1.0) (sqrt N)))) (log (sqrt N))) (- (+ (log (/ (cbrt (+ N 1.0)) (cbrt (sqrt N)))) (log (/ (cbrt (+ N 1.0)) (cbrt (sqrt N))))) (log (sqrt N))) (- (log (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (fabs (cbrt N)))) (log (sqrt N))) (- (log (/ (cbrt (+ N 1.0)) (/ (sqrt (sqrt N)) (cbrt (+ N 1.0))))) (log (sqrt N))) (- (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (sqrt N))) (- (log (/ (cbrt (+ N 1.0)) (/ (sqrt (sqrt N)) (cbrt (+ N 1.0))))) (log (sqrt N))) (- (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (sqrt N))) (- (log (/ (/ (sqrt (+ N 1.0)) (cbrt (sqrt N))) (cbrt (sqrt N)))) (log (sqrt N))) (- (log (/ (sqrt (+ N 1.0)) (fabs (cbrt N)))) (log (sqrt N))) (- (log (/ (sqrt (+ N 1.0)) (sqrt (sqrt N)))) (log (sqrt N))) (- (log (sqrt (+ N 1.0))) (log (sqrt N))) (- (log (/ (sqrt (+ N 1.0)) (sqrt (sqrt N)))) (log (sqrt N))) (- (log (sqrt (+ N 1.0))) (log (sqrt N))) (- (- (log (sqrt N))) (+ (log (cbrt (sqrt N))) (log (cbrt (sqrt N))))) (- (- (log (sqrt N))) (log (fabs (cbrt N)))) (- (+ (log (sqrt (sqrt N))) (log (sqrt N)))) (- (log (sqrt N))) (- (+ (log (sqrt (sqrt N))) (log (sqrt N)))) (- (log (sqrt N))) (- (- (log (sqrt N))) (+ (log (cbrt (sqrt N))) (log (cbrt (sqrt N))))) (- (- (log (sqrt N))) (log (fabs (cbrt N)))) (- (+ (log (sqrt (sqrt N))) (log (sqrt N)))) (- (log (sqrt N))) (- (+ (log (sqrt (sqrt N))) (log (sqrt N)))) (- (log (sqrt N))) (- (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (- (log (/ (+ N 1.0) (sqrt N))) (log (cbrt (sqrt N)))) (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt (cbrt N)))) (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt (sqrt N)))) (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N))) (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt (sqrt N)))) (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (- (log (sqrt N)) (log (/ (+ N 1.0) (sqrt N)))) (log (/ (+ N 1.0) (sqrt N))) (log (/ (+ N 1.0) (sqrt N))) (exp (/ (+ N 1.0) (sqrt N))) (* (* (/ (+ N 1.0) (sqrt N)) (/ (+ N 1.0) (sqrt N))) (/ (+ N 1.0) (sqrt N))) (* (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N)))) (cbrt (/ (+ N 1.0) (sqrt N))) (* (* (/ (+ N 1.0) (sqrt N)) (/ (+ N 1.0) (sqrt N))) (/ (+ N 1.0) (sqrt N))) (sqrt (/ (+ N 1.0) (sqrt N))) (sqrt (/ (+ N 1.0) (sqrt N))) (- (+ 1.0 N)) (- (sqrt N)) (* (/ (cbrt (+ N 1.0)) (cbrt (sqrt N))) (/ (cbrt (+ N 1.0)) (cbrt (sqrt N)))) (/ (cbrt (+ N 1.0)) (cbrt (sqrt N))) (/ (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (fabs (cbrt N))) (/ (cbrt (+ N 1.0)) (sqrt (cbrt N))) (/ (cbrt (+ N 1.0)) (/ (sqrt (sqrt N)) (cbrt (+ N 1.0)))) (/ (cbrt (+ N 1.0)) (sqrt (sqrt N))) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (/ (cbrt (+ N 1.0)) (sqrt N)) (/ (cbrt (+ N 1.0)) (/ (sqrt (sqrt N)) (cbrt (+ N 1.0)))) (/ (cbrt (+ N 1.0)) (sqrt (sqrt N))) (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (/ (cbrt (+ N 1.0)) (sqrt N)) (/ (/ (sqrt (+ N 1.0)) (cbrt (sqrt N))) (cbrt (sqrt N))) (/ (sqrt (+ N 1.0)) (cbrt (sqrt N))) (/ (sqrt (+ N 1.0)) (fabs (cbrt N))) (/ (sqrt (+ N 1.0)) (sqrt (cbrt N))) (/ (sqrt (+ N 1.0)) (sqrt (sqrt N))) (/ (sqrt (+ N 1.0)) (sqrt (sqrt N))) (sqrt (+ N 1.0)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (sqrt (+ N 1.0)) (sqrt (sqrt N))) (/ (sqrt (+ N 1.0)) (sqrt (sqrt N))) (sqrt (+ N 1.0)) (/ (sqrt (+ N 1.0)) (sqrt N)) (/ (/ 1 (cbrt (sqrt N))) (cbrt (sqrt N))) (/ (+ N 1.0) (cbrt (sqrt N))) (/ 1 (fabs (cbrt N))) (/ (+ N 1.0) (sqrt (cbrt N))) (/ 1 (sqrt (sqrt N))) (/ (+ N 1.0) (sqrt (sqrt N))) 1 (/ (+ N 1.0) (sqrt N)) (/ 1 (sqrt (sqrt N))) (/ (+ N 1.0) (sqrt (sqrt N))) 1 (/ (+ N 1.0) (sqrt N)) (/ (/ 1 (cbrt (sqrt N))) (cbrt (sqrt N))) (/ (+ N 1.0) (cbrt (sqrt N))) (/ 1 (fabs (cbrt N))) (/ (+ N 1.0) (sqrt (cbrt N))) (/ 1 (sqrt (sqrt N))) (/ (+ N 1.0) (sqrt (sqrt N))) 1 (/ (+ N 1.0) (sqrt N)) (/ 1 (sqrt (sqrt N))) (/ (+ N 1.0) (sqrt (sqrt N))) 1 (/ (+ N 1.0) (sqrt N)) (/ 1 (sqrt N)) (/ (sqrt N) (+ N 1.0)) (/ (/ (+ N 1.0) (cbrt (sqrt N))) (cbrt (sqrt N))) (/ (+ N 1.0) (fabs (cbrt N))) (/ (+ N 1.0) (sqrt (sqrt N))) (+ N 1.0) (/ (+ N 1.0) (sqrt (sqrt N))) (+ N 1.0) (/ (sqrt N) (cbrt (+ N 1.0))) (/ (sqrt N) (sqrt (+ N 1.0))) (/ (sqrt N) (+ N 1.0)) (/ (sqrt N) (+ N 1.0)) (* (sqrt N) (+ (* 1.0 (- 1.0 N)) (* N N))) (* (- N 1.0) (sqrt N)) (+ (log (cbrt (sqrt N))) (log (cbrt (sqrt N)))) (log (cbrt (sqrt N))) (log (fabs (cbrt N))) (log (sqrt (cbrt N))) (log (sqrt (sqrt N))) (log (sqrt (sqrt N))) 0 (log (sqrt N)) (log (sqrt (sqrt N))) (log (sqrt (sqrt N))) 0 (log (sqrt N)) (log N) (log (sqrt N)) (log N) (log (log (sqrt N))) (sqrt N) (* (cbrt (log (sqrt N))) (cbrt (log (sqrt N)))) (cbrt (log (sqrt N))) (* (* (log (sqrt N)) (log (sqrt N))) (log (sqrt N))) (sqrt (log (sqrt N))) (sqrt (log (sqrt N))) (- (log (- +nan.0)) (+ (+ (log +nan.0) (log N)) (* +nan.0 (- N (* N N))))) (- (log (- +nan.0)) (+ (- (log +nan.0) (/ +nan.0 N)) (/ +nan.0 (* N N)))) (- (/ (- +nan.0) (* N N)) (- (log (/ -1 N)) (/ +nan.0 N))) (- (+ +nan.0 (* +nan.0 (- N (* N N))))) (+ (+ (/ +nan.0 N) (/ (- +nan.0) (* N N))) (- +nan.0)) (- (+ (- (/ +nan.0 N) (* +nan.0 N)) +nan.0)) (+ (log N) (- (log +nan.0) (* +nan.0 (- N (* N N))))) (+ (- (log +nan.0) (/ +nan.0 (* N N))) (/ +nan.0 N)) (+ (- (log +nan.0) (/ +nan.0 (* N N))) (/ +nan.0 N)) 5.880 * * * [progress]: adding candidates to table 6.510 * * [progress]: iteration 4 / 4 6.511 * * * [progress]: picking best candidate 6.529 * * * * [pick]: Picked # 6.529 * * * [progress]: localizing error 6.575 * * * [progress]: generating rewritten candidates 6.575 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 6.914 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 7.001 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 7.006 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 2) 7.029 * * * [progress]: generating series expansions 7.029 * * * * [progress]: [ 1 / 4 ] generating series at (2) 7.029 * [backup-simplify]: Simplify (+ (- (log (sqrt N))) (log (* (* (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N)))) (cbrt (/ (+ N 1.0) (sqrt N)))))) into (- (log (* (sqrt (/ 1 N)) (+ N 1.0))) (log (sqrt N))) 7.029 * [approximate]: Taking taylor expansion of (- (log (* (sqrt (/ 1 N)) (+ N 1.0))) (log (sqrt N))) in (N) around 0 7.029 * [taylor]: Taking taylor expansion of (- (log (* (sqrt (/ 1 N)) (+ N 1.0))) (log (sqrt N))) in N 7.029 * [taylor]: Taking taylor expansion of (log (* (sqrt (/ 1 N)) (+ N 1.0))) in N 7.029 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 N)) (+ N 1.0)) in N 7.029 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 7.029 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.030 * [taylor]: Taking taylor expansion of N in N 7.030 * [backup-simplify]: Simplify 0 into 0 7.030 * [backup-simplify]: Simplify 1 into 1 7.030 * [backup-simplify]: Simplify (/ 1 1) into 1 7.030 * [backup-simplify]: Simplify (sqrt 0) into 0 7.032 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.032 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.032 * [taylor]: Taking taylor expansion of N in N 7.032 * [backup-simplify]: Simplify 0 into 0 7.032 * [backup-simplify]: Simplify 1 into 1 7.032 * [taylor]: Taking taylor expansion of 1.0 in N 7.032 * [backup-simplify]: Simplify 1.0 into 1.0 7.033 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.033 * [backup-simplify]: Simplify (* 0 1.0) into 0 7.034 * [backup-simplify]: Simplify (+ 1 0) into 1 7.035 * [backup-simplify]: Simplify (+ (* 0 1) (* +nan.0 1.0)) into (- +nan.0) 7.036 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 7.036 * [taylor]: Taking taylor expansion of (log (sqrt N)) in N 7.036 * [taylor]: Taking taylor expansion of (sqrt N) in N 7.036 * [taylor]: Taking taylor expansion of N in N 7.036 * [backup-simplify]: Simplify 0 into 0 7.036 * [backup-simplify]: Simplify 1 into 1 7.037 * [backup-simplify]: Simplify (sqrt 0) into 0 7.038 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.038 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 7.038 * [taylor]: Taking taylor expansion of (- (log (* (sqrt (/ 1 N)) (+ N 1.0))) (log (sqrt N))) in N 7.038 * [taylor]: Taking taylor expansion of (log (* (sqrt (/ 1 N)) (+ N 1.0))) in N 7.038 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 N)) (+ N 1.0)) in N 7.038 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 7.038 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.039 * [taylor]: Taking taylor expansion of N in N 7.039 * [backup-simplify]: Simplify 0 into 0 7.039 * [backup-simplify]: Simplify 1 into 1 7.039 * [backup-simplify]: Simplify (/ 1 1) into 1 7.039 * [backup-simplify]: Simplify (sqrt 0) into 0 7.041 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.041 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.041 * [taylor]: Taking taylor expansion of N in N 7.041 * [backup-simplify]: Simplify 0 into 0 7.041 * [backup-simplify]: Simplify 1 into 1 7.041 * [taylor]: Taking taylor expansion of 1.0 in N 7.041 * [backup-simplify]: Simplify 1.0 into 1.0 7.041 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.042 * [backup-simplify]: Simplify (* 0 1.0) into 0 7.042 * [backup-simplify]: Simplify (+ 1 0) into 1 7.044 * [backup-simplify]: Simplify (+ (* 0 1) (* +nan.0 1.0)) into (- +nan.0) 7.045 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 7.045 * [taylor]: Taking taylor expansion of (log (sqrt N)) in N 7.045 * [taylor]: Taking taylor expansion of (sqrt N) in N 7.045 * [taylor]: Taking taylor expansion of N in N 7.045 * [backup-simplify]: Simplify 0 into 0 7.045 * [backup-simplify]: Simplify 1 into 1 7.045 * [backup-simplify]: Simplify (sqrt 0) into 0 7.046 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.047 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 7.048 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log +nan.0)) into (+ (log N) (log +nan.0)) 7.048 * [backup-simplify]: Simplify (- (+ (log N) (log +nan.0))) into (- (+ (log N) (log +nan.0))) 7.049 * [backup-simplify]: Simplify (+ (log (- +nan.0)) (- (+ (log N) (log +nan.0)))) into (- (log (- +nan.0)) (+ (log N) (log +nan.0))) 7.051 * [backup-simplify]: Simplify (- (log (- +nan.0)) (+ (log N) (log +nan.0))) into (- (log (- +nan.0)) (+ (log N) (log +nan.0))) 7.051 * [backup-simplify]: Simplify (+ 0 0) into 0 7.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.055 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.058 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 1) (* +nan.0 1.0))) into (- +nan.0) 7.066 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 7.069 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.076 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 7.076 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.077 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 7.077 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.078 * [backup-simplify]: Simplify (+ 0 0) into 0 7.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.083 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.087 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 1) (* +nan.0 1.0)))) into (- +nan.0) 7.105 * [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 7.108 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.116 * [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 7.116 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.117 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 7.117 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.118 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow N 2)) (+ (* (- +nan.0) N) (- (log (- +nan.0)) (+ (log N) (log +nan.0))))) into (- (log (- +nan.0)) (+ (* +nan.0 N) (- (+ (log N) (log +nan.0)) (* +nan.0 (pow N 2))))) 7.119 * [backup-simplify]: Simplify (+ (- (log (sqrt (/ 1 N)))) (log (* (* (cbrt (/ (+ (/ 1 N) 1.0) (sqrt (/ 1 N)))) (cbrt (/ (+ (/ 1 N) 1.0) (sqrt (/ 1 N))))) (cbrt (/ (+ (/ 1 N) 1.0) (sqrt (/ 1 N))))))) into (- (log (* (sqrt N) (+ (/ 1 N) 1.0))) (log (sqrt (/ 1 N)))) 7.119 * [approximate]: Taking taylor expansion of (- (log (* (sqrt N) (+ (/ 1 N) 1.0))) (log (sqrt (/ 1 N)))) in (N) around 0 7.119 * [taylor]: Taking taylor expansion of (- (log (* (sqrt N) (+ (/ 1 N) 1.0))) (log (sqrt (/ 1 N)))) in N 7.119 * [taylor]: Taking taylor expansion of (log (* (sqrt N) (+ (/ 1 N) 1.0))) in N 7.119 * [taylor]: Taking taylor expansion of (* (sqrt N) (+ (/ 1 N) 1.0)) in N 7.119 * [taylor]: Taking taylor expansion of (sqrt N) in N 7.119 * [taylor]: Taking taylor expansion of N in N 7.119 * [backup-simplify]: Simplify 0 into 0 7.119 * [backup-simplify]: Simplify 1 into 1 7.119 * [backup-simplify]: Simplify (sqrt 0) into 0 7.120 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.120 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.121 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.121 * [taylor]: Taking taylor expansion of N in N 7.121 * [backup-simplify]: Simplify 0 into 0 7.121 * [backup-simplify]: Simplify 1 into 1 7.121 * [backup-simplify]: Simplify (/ 1 1) into 1 7.121 * [taylor]: Taking taylor expansion of 1.0 in N 7.121 * [backup-simplify]: Simplify 1.0 into 1.0 7.121 * [backup-simplify]: Simplify (+ 1 0) into 1 7.121 * [backup-simplify]: Simplify (* 0 1) into 0 7.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.122 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.123 * [backup-simplify]: Simplify (+ (* 0 1.0) (* +nan.0 1)) into (- +nan.0) 7.124 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 7.124 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 N))) in N 7.124 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 7.124 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.124 * [taylor]: Taking taylor expansion of N in N 7.124 * [backup-simplify]: Simplify 0 into 0 7.124 * [backup-simplify]: Simplify 1 into 1 7.124 * [backup-simplify]: Simplify (/ 1 1) into 1 7.124 * [backup-simplify]: Simplify (sqrt 0) into 0 7.125 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.125 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 7.125 * [taylor]: Taking taylor expansion of (- (log (* (sqrt N) (+ (/ 1 N) 1.0))) (log (sqrt (/ 1 N)))) in N 7.125 * [taylor]: Taking taylor expansion of (log (* (sqrt N) (+ (/ 1 N) 1.0))) in N 7.125 * [taylor]: Taking taylor expansion of (* (sqrt N) (+ (/ 1 N) 1.0)) in N 7.125 * [taylor]: Taking taylor expansion of (sqrt N) in N 7.125 * [taylor]: Taking taylor expansion of N in N 7.125 * [backup-simplify]: Simplify 0 into 0 7.125 * [backup-simplify]: Simplify 1 into 1 7.126 * [backup-simplify]: Simplify (sqrt 0) into 0 7.126 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.126 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.126 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.126 * [taylor]: Taking taylor expansion of N in N 7.126 * [backup-simplify]: Simplify 0 into 0 7.126 * [backup-simplify]: Simplify 1 into 1 7.127 * [backup-simplify]: Simplify (/ 1 1) into 1 7.127 * [taylor]: Taking taylor expansion of 1.0 in N 7.127 * [backup-simplify]: Simplify 1.0 into 1.0 7.127 * [backup-simplify]: Simplify (+ 1 0) into 1 7.128 * [backup-simplify]: Simplify (* 0 1) into 0 7.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.132 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.133 * [backup-simplify]: Simplify (+ (* 0 1.0) (* +nan.0 1)) into (- +nan.0) 7.134 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 7.134 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 N))) in N 7.134 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 7.134 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.134 * [taylor]: Taking taylor expansion of N in N 7.134 * [backup-simplify]: Simplify 0 into 0 7.134 * [backup-simplify]: Simplify 1 into 1 7.134 * [backup-simplify]: Simplify (/ 1 1) into 1 7.134 * [backup-simplify]: Simplify (sqrt 0) into 0 7.136 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.137 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 7.138 * [backup-simplify]: Simplify (- (log +nan.0)) into (- (log +nan.0)) 7.140 * [backup-simplify]: Simplify (+ (log (- +nan.0)) (- (log +nan.0))) into (- (log (- +nan.0)) (log +nan.0)) 7.142 * [backup-simplify]: Simplify (- (log (- +nan.0)) (log +nan.0)) into (- (log (- +nan.0)) (log +nan.0)) 7.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.143 * [backup-simplify]: Simplify (+ 0 0) into 0 7.146 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.149 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 1.0) (* +nan.0 1))) into (- +nan.0) 7.157 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 7.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.161 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.167 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 7.168 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.169 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 7.169 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.170 * [backup-simplify]: Simplify (+ 0 0) into 0 7.174 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.177 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 1.0) (* +nan.0 1)))) into (- +nan.0) 7.187 * [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 7.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.190 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.198 * [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 7.199 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.199 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 7.200 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.201 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 N) 2)) (+ (* (- +nan.0) (/ 1 N)) (- (log (- +nan.0)) (log +nan.0)))) into (- (log (- +nan.0)) (+ (* +nan.0 (/ 1 (pow N 2))) (- (log +nan.0) (* +nan.0 (/ 1 N))))) 7.202 * [backup-simplify]: Simplify (+ (- (log (sqrt (/ 1 (- N))))) (log (* (* (cbrt (/ (+ (/ 1 (- N)) 1.0) (sqrt (/ 1 (- N))))) (cbrt (/ (+ (/ 1 (- N)) 1.0) (sqrt (/ 1 (- N)))))) (cbrt (/ (+ (/ 1 (- N)) 1.0) (sqrt (/ 1 (- N)))))))) into (- (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))) (log (sqrt (/ -1 N)))) 7.202 * [approximate]: Taking taylor expansion of (- (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))) (log (sqrt (/ -1 N)))) in (N) around 0 7.202 * [taylor]: Taking taylor expansion of (- (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))) (log (sqrt (/ -1 N)))) in N 7.202 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))) in N 7.202 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) in N 7.202 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.202 * [taylor]: Taking taylor expansion of 1.0 in N 7.202 * [backup-simplify]: Simplify 1.0 into 1.0 7.202 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.202 * [taylor]: Taking taylor expansion of N in N 7.202 * [backup-simplify]: Simplify 0 into 0 7.202 * [backup-simplify]: Simplify 1 into 1 7.202 * [backup-simplify]: Simplify (/ 1 1) into 1 7.202 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 7.202 * [taylor]: Taking taylor expansion of (/ -1 N) in N 7.202 * [taylor]: Taking taylor expansion of -1 in N 7.202 * [backup-simplify]: Simplify -1 into -1 7.202 * [taylor]: Taking taylor expansion of N in N 7.202 * [backup-simplify]: Simplify 0 into 0 7.202 * [backup-simplify]: Simplify 1 into 1 7.203 * [backup-simplify]: Simplify (/ -1 1) into -1 7.203 * [backup-simplify]: Simplify (sqrt 0) into 0 7.204 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.204 * [backup-simplify]: Simplify (- 1) into -1 7.204 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.205 * [backup-simplify]: Simplify (/ -1 +nan.0) into +nan.0 7.205 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 7.205 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 N))) in N 7.205 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 7.205 * [taylor]: Taking taylor expansion of (/ -1 N) in N 7.205 * [taylor]: Taking taylor expansion of -1 in N 7.205 * [backup-simplify]: Simplify -1 into -1 7.205 * [taylor]: Taking taylor expansion of N in N 7.205 * [backup-simplify]: Simplify 0 into 0 7.205 * [backup-simplify]: Simplify 1 into 1 7.205 * [backup-simplify]: Simplify (/ -1 1) into -1 7.205 * [backup-simplify]: Simplify (sqrt 0) into 0 7.206 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.206 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 7.207 * [taylor]: Taking taylor expansion of (- (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))) (log (sqrt (/ -1 N)))) in N 7.207 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))) in N 7.207 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) in N 7.207 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.207 * [taylor]: Taking taylor expansion of 1.0 in N 7.207 * [backup-simplify]: Simplify 1.0 into 1.0 7.207 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.207 * [taylor]: Taking taylor expansion of N in N 7.207 * [backup-simplify]: Simplify 0 into 0 7.207 * [backup-simplify]: Simplify 1 into 1 7.207 * [backup-simplify]: Simplify (/ 1 1) into 1 7.207 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 7.207 * [taylor]: Taking taylor expansion of (/ -1 N) in N 7.207 * [taylor]: Taking taylor expansion of -1 in N 7.207 * [backup-simplify]: Simplify -1 into -1 7.207 * [taylor]: Taking taylor expansion of N in N 7.207 * [backup-simplify]: Simplify 0 into 0 7.207 * [backup-simplify]: Simplify 1 into 1 7.208 * [backup-simplify]: Simplify (/ -1 1) into -1 7.208 * [backup-simplify]: Simplify (sqrt 0) into 0 7.209 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.210 * [backup-simplify]: Simplify (- 1) into -1 7.210 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.211 * [backup-simplify]: Simplify (/ -1 +nan.0) into +nan.0 7.211 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 7.211 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 N))) in N 7.211 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 7.211 * [taylor]: Taking taylor expansion of (/ -1 N) in N 7.211 * [taylor]: Taking taylor expansion of -1 in N 7.211 * [backup-simplify]: Simplify -1 into -1 7.211 * [taylor]: Taking taylor expansion of N in N 7.211 * [backup-simplify]: Simplify 0 into 0 7.211 * [backup-simplify]: Simplify 1 into 1 7.212 * [backup-simplify]: Simplify (/ -1 1) into -1 7.212 * [backup-simplify]: Simplify (sqrt 0) into 0 7.213 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.214 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 7.215 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log +nan.0)) into (- (log +nan.0) (log N)) 7.216 * [backup-simplify]: Simplify (- (log +nan.0)) into (- (log +nan.0)) 7.217 * [backup-simplify]: Simplify (+ (- (log +nan.0) (log N)) (- (log +nan.0))) into (- (log N)) 7.217 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 7.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.218 * [backup-simplify]: Simplify (- 0) into 0 7.219 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.220 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.223 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.225 * [backup-simplify]: Simplify (- (/ 1.0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 7.230 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow +nan.0 1)))) 1) into +nan.0 7.231 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.233 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.237 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 7.237 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.237 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 7.238 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.238 * [backup-simplify]: Simplify (- 0) into 0 7.239 * [backup-simplify]: Simplify (+ 0 0) into 0 7.242 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.244 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.247 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 7.257 * [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 7.258 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.262 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.276 * [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 7.277 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.278 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 7.278 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.280 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- N)) 2)) (+ (* (- +nan.0) (/ 1 (- N))) (- (log (/ 1 (- N)))))) into (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (log (/ -1 N)) (* +nan.0 (/ 1 N))))) 7.280 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 7.280 * [backup-simplify]: Simplify (* (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N)))) into (pow (/ (pow (+ N 1.0) 2) N) 1/3) 7.280 * [approximate]: Taking taylor expansion of (pow (/ (pow (+ N 1.0) 2) N) 1/3) in (N) around 0 7.280 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ N 1.0) 2) N) 1/3) in N 7.280 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ N 1.0) 2) N)))) in N 7.280 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ N 1.0) 2) N))) in N 7.280 * [taylor]: Taking taylor expansion of 1/3 in N 7.280 * [backup-simplify]: Simplify 1/3 into 1/3 7.280 * [taylor]: Taking taylor expansion of (log (/ (pow (+ N 1.0) 2) N)) in N 7.280 * [taylor]: Taking taylor expansion of (/ (pow (+ N 1.0) 2) N) in N 7.280 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 2) in N 7.280 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.280 * [taylor]: Taking taylor expansion of N in N 7.280 * [backup-simplify]: Simplify 0 into 0 7.280 * [backup-simplify]: Simplify 1 into 1 7.280 * [taylor]: Taking taylor expansion of 1.0 in N 7.280 * [backup-simplify]: Simplify 1.0 into 1.0 7.281 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.281 * [taylor]: Taking taylor expansion of N in N 7.281 * [backup-simplify]: Simplify 0 into 0 7.281 * [backup-simplify]: Simplify 1 into 1 7.281 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 7.282 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 7.282 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.283 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 7.284 * [backup-simplify]: Simplify (* 1/3 (- (log 1.0) (log N))) into (* 1/3 (- (log 1.0) (log N))) 7.284 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1.0) (log N)))) into (exp (* 1/3 (- (log 1.0) (log N)))) 7.284 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ N 1.0) 2) N) 1/3) in N 7.284 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ N 1.0) 2) N)))) in N 7.284 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ N 1.0) 2) N))) in N 7.284 * [taylor]: Taking taylor expansion of 1/3 in N 7.284 * [backup-simplify]: Simplify 1/3 into 1/3 7.284 * [taylor]: Taking taylor expansion of (log (/ (pow (+ N 1.0) 2) N)) in N 7.284 * [taylor]: Taking taylor expansion of (/ (pow (+ N 1.0) 2) N) in N 7.285 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 2) in N 7.285 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.285 * [taylor]: Taking taylor expansion of N in N 7.285 * [backup-simplify]: Simplify 0 into 0 7.285 * [backup-simplify]: Simplify 1 into 1 7.285 * [taylor]: Taking taylor expansion of 1.0 in N 7.285 * [backup-simplify]: Simplify 1.0 into 1.0 7.285 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.285 * [taylor]: Taking taylor expansion of N in N 7.285 * [backup-simplify]: Simplify 0 into 0 7.285 * [backup-simplify]: Simplify 1 into 1 7.286 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 7.286 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 7.286 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.287 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 7.288 * [backup-simplify]: Simplify (* 1/3 (- (log 1.0) (log N))) into (* 1/3 (- (log 1.0) (log N))) 7.288 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1.0) (log N)))) into (exp (* 1/3 (- (log 1.0) (log N)))) 7.289 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1.0) (log N)))) into (exp (* 1/3 (- (log 1.0) (log N)))) 7.290 * [backup-simplify]: Simplify (+ 1 0) into 1 7.291 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 1 1.0)) into 2.0 7.293 * [backup-simplify]: Simplify (- (/ 2.0 1) (+ (* 1.0 (/ 0 1)))) into 2.0 7.300 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2.0) 1)) (pow 1.0 1)))) 1) into 2.0 7.301 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 7.302 * [backup-simplify]: Simplify (+ (* 1/3 2.0) (* 0 (- (log 1.0) (log N)))) into 0.6666666666666666 7.305 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1.0) (log N)))) (+ (* (/ (pow 0.6666666666666666 1) 1)))) into (* 0.6666666666666666 (exp (* 1/3 (- (log 1.0) (log N))))) 7.305 * [backup-simplify]: Simplify (* 0.6666666666666666 (exp (* 1/3 (- (log 1.0) (log N))))) into (* 0.6666666666666666 (exp (* 1/3 (- (log 1.0) (log N))))) 7.306 * [backup-simplify]: Simplify (+ 0 0) into 0 7.307 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 1 1) (* 0 1.0))) into 1 7.308 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)) (* 2.0 (/ 0 1)))) into 1 7.319 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 2.0) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow 1.0 1)))) 2) into (* 1/2 (- 2.0 (* 4.0 (/ 1 (pow 1.0 2))))) 7.319 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 7.323 * [backup-simplify]: Simplify (+ (* 1/3 (* 1/2 (- 2.0 (* 4.0 (/ 1 (pow 1.0 2)))))) (+ (* 0 2.0) (* 0 (- (log 1.0) (log N))))) into (- 0.3333333333333333 (* 0.6666666666666666 (/ 1 (pow 1.0 2)))) 7.330 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 1.0) (log N)))) (+ (* (/ (pow 0.6666666666666666 2) 2)) (* (/ (pow (- 0.3333333333333333 (* 0.6666666666666666 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (- 0.5555555555555556 (* 0.6666666666666666 (/ 1 (pow 1.0 2)))) (exp (* 1/3 (- (log 1.0) (log N))))) 7.332 * [backup-simplify]: Simplify (* (- 0.5555555555555556 (* 0.6666666666666666 (/ 1 (pow 1.0 2)))) (exp (* 1/3 (- (log 1.0) (log N))))) into (* (- 0.5555555555555556 (* 0.6666666666666666 (/ 1 (pow 1.0 2)))) (exp (* 1/3 (- (log 1.0) (log N))))) 7.335 * [backup-simplify]: Simplify (+ (* (* (- 0.5555555555555556 (* 0.6666666666666666 (/ 1 (pow 1.0 2)))) (exp (* 1/3 (- (log 1.0) (log N))))) (pow N 2)) (+ (* (* 0.6666666666666666 (exp (* 1/3 (- (log 1.0) (log N))))) N) (exp (* 1/3 (- (log 1.0) (log N)))))) into (- (+ (* 0.6666666666666666 (* N (exp (* 1/3 (- (log 1.0) (log N)))))) (+ (* 0.5555555555555556 (* (pow N 2) (exp (* 1/3 (- (log 1.0) (log N)))))) (exp (* 1/3 (- (log 1.0) (log N)))))) (* 0.6666666666666666 (/ (* (pow N 2) (exp (* 1/3 (- (log 1.0) (log N))))) (pow 1.0 2)))) 7.335 * [backup-simplify]: Simplify (* (cbrt (/ (+ (/ 1 N) 1.0) (sqrt (/ 1 N)))) (cbrt (/ (+ (/ 1 N) 1.0) (sqrt (/ 1 N))))) into (pow (* N (pow (+ (/ 1 N) 1.0) 2)) 1/3) 7.335 * [approximate]: Taking taylor expansion of (pow (* N (pow (+ (/ 1 N) 1.0) 2)) 1/3) in (N) around 0 7.335 * [taylor]: Taking taylor expansion of (pow (* N (pow (+ (/ 1 N) 1.0) 2)) 1/3) in N 7.335 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (pow (+ (/ 1 N) 1.0) 2))))) in N 7.335 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (pow (+ (/ 1 N) 1.0) 2)))) in N 7.335 * [taylor]: Taking taylor expansion of 1/3 in N 7.335 * [backup-simplify]: Simplify 1/3 into 1/3 7.335 * [taylor]: Taking taylor expansion of (log (* N (pow (+ (/ 1 N) 1.0) 2))) in N 7.335 * [taylor]: Taking taylor expansion of (* N (pow (+ (/ 1 N) 1.0) 2)) in N 7.335 * [taylor]: Taking taylor expansion of N in N 7.335 * [backup-simplify]: Simplify 0 into 0 7.335 * [backup-simplify]: Simplify 1 into 1 7.335 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 2) in N 7.335 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.335 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.335 * [taylor]: Taking taylor expansion of N in N 7.336 * [backup-simplify]: Simplify 0 into 0 7.336 * [backup-simplify]: Simplify 1 into 1 7.336 * [backup-simplify]: Simplify (/ 1 1) into 1 7.336 * [taylor]: Taking taylor expansion of 1.0 in N 7.336 * [backup-simplify]: Simplify 1.0 into 1.0 7.336 * [backup-simplify]: Simplify (+ 1 0) into 1 7.336 * [backup-simplify]: Simplify (* 1 1) into 1 7.337 * [backup-simplify]: Simplify (* 0 1) into 0 7.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.337 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.338 * [backup-simplify]: Simplify (+ (* 1 1.0) (* 1.0 1)) into 2.0 7.339 * [backup-simplify]: Simplify (+ (* 0 2.0) (* 1 1)) into 1 7.339 * [backup-simplify]: Simplify (log 1) into 0 7.339 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.339 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 7.339 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 7.340 * [taylor]: Taking taylor expansion of (pow (* N (pow (+ (/ 1 N) 1.0) 2)) 1/3) in N 7.340 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (pow (+ (/ 1 N) 1.0) 2))))) in N 7.340 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (pow (+ (/ 1 N) 1.0) 2)))) in N 7.340 * [taylor]: Taking taylor expansion of 1/3 in N 7.340 * [backup-simplify]: Simplify 1/3 into 1/3 7.340 * [taylor]: Taking taylor expansion of (log (* N (pow (+ (/ 1 N) 1.0) 2))) in N 7.340 * [taylor]: Taking taylor expansion of (* N (pow (+ (/ 1 N) 1.0) 2)) in N 7.340 * [taylor]: Taking taylor expansion of N in N 7.340 * [backup-simplify]: Simplify 0 into 0 7.340 * [backup-simplify]: Simplify 1 into 1 7.340 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 2) in N 7.340 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.340 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.340 * [taylor]: Taking taylor expansion of N in N 7.340 * [backup-simplify]: Simplify 0 into 0 7.340 * [backup-simplify]: Simplify 1 into 1 7.340 * [backup-simplify]: Simplify (/ 1 1) into 1 7.340 * [taylor]: Taking taylor expansion of 1.0 in N 7.340 * [backup-simplify]: Simplify 1.0 into 1.0 7.340 * [backup-simplify]: Simplify (+ 1 0) into 1 7.341 * [backup-simplify]: Simplify (* 1 1) into 1 7.341 * [backup-simplify]: Simplify (* 0 1) into 0 7.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.342 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.342 * [backup-simplify]: Simplify (+ (* 1 1.0) (* 1.0 1)) into 2.0 7.343 * [backup-simplify]: Simplify (+ (* 0 2.0) (* 1 1)) into 1 7.344 * [backup-simplify]: Simplify (log 1) into 0 7.344 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.344 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 7.344 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 7.344 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 7.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.346 * [backup-simplify]: Simplify (+ 0 0) into 0 7.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1.0 1.0) (* 0 1))) into 1.0 7.351 * [backup-simplify]: Simplify (+ (* 0 1.0) (+ (* 1 2.0) (* 0 1))) into 2.0 7.360 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2.0) 1)) (pow 1 1)))) 1) into 2.0 7.361 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.361 * [backup-simplify]: Simplify (+ (* 1/3 2.0) (* 0 (- (log N)))) into 0.6666666666666666 7.364 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0.6666666666666666 1) 1)))) into (* 0.6666666666666666 (pow (/ 1 N) 1/3)) 7.364 * [backup-simplify]: Simplify (* 0.6666666666666666 (pow (/ 1 N) 1/3)) into (* 0.6666666666666666 (pow (/ 1 N) 1/3)) 7.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.365 * [backup-simplify]: Simplify (+ 0 0) into 0 7.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1.0 0) (+ (* 0 1.0) (* 0 1)))) into 0 7.370 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (+ (* 0 2.0) (* 0 1)))) into 1.0 7.382 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 2.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1.0) 1)) (pow 1 1)))) 2) into -1.0 7.382 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.383 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (+ (* 0 2.0) (* 0 (- (log N))))) into (- 0.3333333333333333) 7.386 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0.6666666666666666 2) 2)) (* (/ (pow (- 0.3333333333333333) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 N) 1/3)) 7.386 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 N) 1/3)) into (* -0.1111111111111111 (pow (/ 1 N) 1/3)) 7.386 * [backup-simplify]: Simplify (+ (* (* -0.1111111111111111 (pow (/ 1 (/ 1 N)) 1/3)) (pow (/ 1 N) 2)) (+ (* (* 0.6666666666666666 (pow (/ 1 (/ 1 N)) 1/3)) (/ 1 N)) (pow (/ 1 N) -1/3))) into (- (+ (pow (/ 1 N) -1/3) (* 0.6666666666666666 (pow (/ 1 (pow N 2)) 1/3))) (* 0.1111111111111111 (pow (/ 1 (pow N 5)) 1/3))) 7.387 * [backup-simplify]: Simplify (* (cbrt (/ (+ (/ 1 (- N)) 1.0) (sqrt (/ 1 (- N))))) (cbrt (/ (+ (/ 1 (- N)) 1.0) (sqrt (/ 1 (- N)))))) into (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow (sqrt (/ -1 N)) 2)) 1/3) 7.387 * [approximate]: Taking taylor expansion of (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow (sqrt (/ -1 N)) 2)) 1/3) in (N) around 0 7.387 * [taylor]: Taking taylor expansion of (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow (sqrt (/ -1 N)) 2)) 1/3) in N 7.387 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow (sqrt (/ -1 N)) 2))))) in N 7.387 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow (sqrt (/ -1 N)) 2)))) in N 7.387 * [taylor]: Taking taylor expansion of 1/3 in N 7.387 * [backup-simplify]: Simplify 1/3 into 1/3 7.387 * [taylor]: Taking taylor expansion of (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow (sqrt (/ -1 N)) 2))) in N 7.387 * [taylor]: Taking taylor expansion of (/ (pow (- 1.0 (/ 1 N)) 2) (pow (sqrt (/ -1 N)) 2)) in N 7.387 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 2) in N 7.387 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.387 * [taylor]: Taking taylor expansion of 1.0 in N 7.387 * [backup-simplify]: Simplify 1.0 into 1.0 7.387 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.387 * [taylor]: Taking taylor expansion of N in N 7.387 * [backup-simplify]: Simplify 0 into 0 7.387 * [backup-simplify]: Simplify 1 into 1 7.387 * [backup-simplify]: Simplify (/ 1 1) into 1 7.387 * [backup-simplify]: Simplify (- 1) into -1 7.388 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.388 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 N)) 2) in N 7.388 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 7.388 * [taylor]: Taking taylor expansion of (/ -1 N) in N 7.388 * [taylor]: Taking taylor expansion of -1 in N 7.388 * [backup-simplify]: Simplify -1 into -1 7.388 * [taylor]: Taking taylor expansion of N in N 7.388 * [backup-simplify]: Simplify 0 into 0 7.388 * [backup-simplify]: Simplify 1 into 1 7.388 * [backup-simplify]: Simplify (/ -1 1) into -1 7.389 * [backup-simplify]: Simplify (sqrt 0) into 0 7.389 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.390 * [backup-simplify]: Simplify (* -1 -1) into 1 7.390 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 7.390 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 7.390 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 7.391 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log +nan.0)) into (- (log +nan.0) (* 2 (log N))) 7.391 * [backup-simplify]: Simplify (* 1/3 (- (log +nan.0) (* 2 (log N)))) into (* 1/3 (- (log +nan.0) (* 2 (log N)))) 7.392 * [backup-simplify]: Simplify (exp (* 1/3 (- (log +nan.0) (* 2 (log N))))) into (exp (* 1/3 (- (log +nan.0) (* 2 (log N))))) 7.392 * [taylor]: Taking taylor expansion of (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow (sqrt (/ -1 N)) 2)) 1/3) in N 7.392 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow (sqrt (/ -1 N)) 2))))) in N 7.392 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow (sqrt (/ -1 N)) 2)))) in N 7.392 * [taylor]: Taking taylor expansion of 1/3 in N 7.392 * [backup-simplify]: Simplify 1/3 into 1/3 7.392 * [taylor]: Taking taylor expansion of (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow (sqrt (/ -1 N)) 2))) in N 7.392 * [taylor]: Taking taylor expansion of (/ (pow (- 1.0 (/ 1 N)) 2) (pow (sqrt (/ -1 N)) 2)) in N 7.392 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 2) in N 7.392 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.392 * [taylor]: Taking taylor expansion of 1.0 in N 7.392 * [backup-simplify]: Simplify 1.0 into 1.0 7.392 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.392 * [taylor]: Taking taylor expansion of N in N 7.392 * [backup-simplify]: Simplify 0 into 0 7.392 * [backup-simplify]: Simplify 1 into 1 7.392 * [backup-simplify]: Simplify (/ 1 1) into 1 7.392 * [backup-simplify]: Simplify (- 1) into -1 7.393 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.393 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 N)) 2) in N 7.393 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 7.393 * [taylor]: Taking taylor expansion of (/ -1 N) in N 7.393 * [taylor]: Taking taylor expansion of -1 in N 7.393 * [backup-simplify]: Simplify -1 into -1 7.393 * [taylor]: Taking taylor expansion of N in N 7.393 * [backup-simplify]: Simplify 0 into 0 7.393 * [backup-simplify]: Simplify 1 into 1 7.393 * [backup-simplify]: Simplify (/ -1 1) into -1 7.393 * [backup-simplify]: Simplify (sqrt 0) into 0 7.394 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.394 * [backup-simplify]: Simplify (* -1 -1) into 1 7.395 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 7.395 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 7.395 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 7.396 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log +nan.0)) into (- (log +nan.0) (* 2 (log N))) 7.396 * [backup-simplify]: Simplify (* 1/3 (- (log +nan.0) (* 2 (log N)))) into (* 1/3 (- (log +nan.0) (* 2 (log N)))) 7.396 * [backup-simplify]: Simplify (exp (* 1/3 (- (log +nan.0) (* 2 (log N))))) into (exp (* 1/3 (- (log +nan.0) (* 2 (log N))))) 7.397 * [backup-simplify]: Simplify (exp (* 1/3 (- (log +nan.0) (* 2 (log N))))) into (exp (* 1/3 (- (log +nan.0) (* 2 (log N))))) 7.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.397 * [backup-simplify]: Simplify (- 0) into 0 7.398 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.399 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 1.0 -1)) into (- 2.0) 7.399 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.401 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.402 * [backup-simplify]: Simplify (+ (* +nan.0 +nan.0) (* +nan.0 +nan.0)) into (- +nan.0) 7.405 * [backup-simplify]: Simplify (- (/ (- 2.0) +nan.0) (+ (* +nan.0 (/ (- +nan.0) +nan.0)))) into (- +nan.0) 7.409 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow +nan.0 1)))) 1) into +nan.0 7.409 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log +nan.0)) into (- (log +nan.0) (* 2 (log N))) 7.410 * [backup-simplify]: Simplify (+ (* 1/3 +nan.0) (* 0 (- (log +nan.0) (* 2 (log N))))) into (- +nan.0) 7.413 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log +nan.0) (* 2 (log N))))) (+ (* (/ (pow (- +nan.0) 1) 1)))) into (* +nan.0 (exp (* 1/3 (- (log +nan.0) (* 2 (log N)))))) 7.414 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/3 (- (log +nan.0) (* 2 (log N)))))) into (* +nan.0 (exp (* 1/3 (- (log +nan.0) (* 2 (log N)))))) 7.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.415 * [backup-simplify]: Simplify (- 0) into 0 7.416 * [backup-simplify]: Simplify (+ 0 0) into 0 7.419 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 1.0 1.0) (* 0 -1))) into 1.0 7.420 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.424 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.426 * [backup-simplify]: Simplify (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 +nan.0))) into (- +nan.0) 7.431 * [backup-simplify]: Simplify (- (/ 1.0 +nan.0) (+ (* +nan.0 (/ (- +nan.0) +nan.0)) (* (- +nan.0) (/ (- +nan.0) +nan.0)))) into (- +nan.0) 7.446 * [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 7.446 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log +nan.0)) into (- (log +nan.0) (* 2 (log N))) 7.447 * [backup-simplify]: Simplify (+ (* 1/3 +nan.0) (+ (* 0 +nan.0) (* 0 (- (log +nan.0) (* 2 (log N)))))) into (- +nan.0) 7.451 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log +nan.0) (* 2 (log N))))) (+ (* (/ (pow (- +nan.0) 2) 2)) (* (/ (pow (- +nan.0) 1) 1)))) into (* +nan.0 (exp (* 1/3 (- (log +nan.0) (* 2 (log N)))))) 7.451 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/3 (- (log +nan.0) (* 2 (log N)))))) into (* +nan.0 (exp (* 1/3 (- (log +nan.0) (* 2 (log N)))))) 7.453 * [backup-simplify]: Simplify (+ (* (* +nan.0 (exp (* 1/3 (- (log +nan.0) (* 2 (log (/ 1 (- N)))))))) (pow (/ 1 (- N)) 2)) (+ (* (* +nan.0 (exp (* 1/3 (- (log +nan.0) (* 2 (log (/ 1 (- N)))))))) (/ 1 (- N))) (exp (* 1/3 (- (log +nan.0) (* 2 (log (/ 1 (- N))))))))) into (- (exp (* 1/3 (- (log +nan.0) (* 2 (log (/ -1 N)))))) (+ (* +nan.0 (/ (exp (* 1/3 (- (log +nan.0) (* 2 (log (/ -1 N)))))) N)) (- (* +nan.0 (/ (exp (* 1/3 (- (log +nan.0) (* 2 (log (/ -1 N)))))) (pow N 2)))))) 7.453 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 7.453 * [backup-simplify]: Simplify (cbrt (/ (+ N 1.0) (sqrt N))) into (* (pow (/ 1 N) 1/6) (pow (+ N 1.0) 1/3)) 7.453 * [approximate]: Taking taylor expansion of (* (pow (/ 1 N) 1/6) (pow (+ N 1.0) 1/3)) in (N) around 0 7.453 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/6) (pow (+ N 1.0) 1/3)) in N 7.453 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/6) in N 7.453 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (/ 1 N)))) in N 7.453 * [taylor]: Taking taylor expansion of (* 1/6 (log (/ 1 N))) in N 7.453 * [taylor]: Taking taylor expansion of 1/6 in N 7.453 * [backup-simplify]: Simplify 1/6 into 1/6 7.453 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 7.453 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.453 * [taylor]: Taking taylor expansion of N in N 7.453 * [backup-simplify]: Simplify 0 into 0 7.453 * [backup-simplify]: Simplify 1 into 1 7.453 * [backup-simplify]: Simplify (/ 1 1) into 1 7.454 * [backup-simplify]: Simplify (log 1) into 0 7.454 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.454 * [backup-simplify]: Simplify (* 1/6 (- (log N))) into (* -1/6 (log N)) 7.454 * [backup-simplify]: Simplify (exp (* -1/6 (log N))) into (pow N -1/6) 7.454 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 7.454 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 7.454 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 7.454 * [taylor]: Taking taylor expansion of 1/3 in N 7.454 * [backup-simplify]: Simplify 1/3 into 1/3 7.454 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 7.454 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.454 * [taylor]: Taking taylor expansion of N in N 7.454 * [backup-simplify]: Simplify 0 into 0 7.454 * [backup-simplify]: Simplify 1 into 1 7.454 * [taylor]: Taking taylor expansion of 1.0 in N 7.454 * [backup-simplify]: Simplify 1.0 into 1.0 7.454 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.455 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.455 * [backup-simplify]: Simplify (* 1/3 (log 1.0)) into (* 1/3 (log 1.0)) 7.456 * [backup-simplify]: Simplify (exp (* 1/3 (log 1.0))) into (pow 1.0 1/3) 7.456 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/6) (pow (+ N 1.0) 1/3)) in N 7.456 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/6) in N 7.456 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (/ 1 N)))) in N 7.456 * [taylor]: Taking taylor expansion of (* 1/6 (log (/ 1 N))) in N 7.456 * [taylor]: Taking taylor expansion of 1/6 in N 7.456 * [backup-simplify]: Simplify 1/6 into 1/6 7.456 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 7.456 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.456 * [taylor]: Taking taylor expansion of N in N 7.456 * [backup-simplify]: Simplify 0 into 0 7.456 * [backup-simplify]: Simplify 1 into 1 7.457 * [backup-simplify]: Simplify (/ 1 1) into 1 7.457 * [backup-simplify]: Simplify (log 1) into 0 7.457 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.457 * [backup-simplify]: Simplify (* 1/6 (- (log N))) into (* -1/6 (log N)) 7.457 * [backup-simplify]: Simplify (exp (* -1/6 (log N))) into (pow N -1/6) 7.457 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 7.457 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 7.457 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 7.457 * [taylor]: Taking taylor expansion of 1/3 in N 7.457 * [backup-simplify]: Simplify 1/3 into 1/3 7.457 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 7.457 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.457 * [taylor]: Taking taylor expansion of N in N 7.457 * [backup-simplify]: Simplify 0 into 0 7.457 * [backup-simplify]: Simplify 1 into 1 7.457 * [taylor]: Taking taylor expansion of 1.0 in N 7.457 * [backup-simplify]: Simplify 1.0 into 1.0 7.458 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.458 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.458 * [backup-simplify]: Simplify (* 1/3 (log 1.0)) into (* 1/3 (log 1.0)) 7.459 * [backup-simplify]: Simplify (exp (* 1/3 (log 1.0))) into (pow 1.0 1/3) 7.460 * [backup-simplify]: Simplify (* (pow N -1/6) (pow 1.0 1/3)) into (* (pow (/ 1 N) 1/6) (pow 1.0 1/3)) 7.460 * [backup-simplify]: Simplify (* (pow (/ 1 N) 1/6) (pow 1.0 1/3)) into (* (pow (/ 1 N) 1/6) (pow 1.0 1/3)) 7.461 * [backup-simplify]: Simplify (+ 1 0) into 1 7.465 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 7.467 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (log 1.0))) into 0.3333333333333333 7.470 * [backup-simplify]: Simplify (* (exp (* 1/3 (log 1.0))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow 1.0 1/3)) 7.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.471 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 7.471 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.472 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (log N)))) into 0 7.472 * [backup-simplify]: Simplify (* (exp (* -1/6 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 7.473 * [backup-simplify]: Simplify (+ (* (pow N -1/6) (* 0.3333333333333333 (pow 1.0 1/3))) (* 0 (pow 1.0 1/3))) into (* 0.3333333333333333 (* (pow (/ 1 N) 1/6) (pow 1.0 1/3))) 7.474 * [backup-simplify]: Simplify (* 0.3333333333333333 (* (pow (/ 1 N) 1/6) (pow 1.0 1/3))) into (* 0.3333333333333333 (* (pow (/ 1 N) 1/6) (pow 1.0 1/3))) 7.474 * [backup-simplify]: Simplify (+ 0 0) into 0 7.484 * [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)) 7.488 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (log 1.0)))) into (- (* 1/6 (/ 1 (pow 1.0 2)))) 7.504 * [backup-simplify]: Simplify (* (exp (* 1/3 (log 1.0))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (pow 1.0 1/3) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 7.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.507 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 7.508 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.509 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 7.510 * [backup-simplify]: Simplify (* (exp (* -1/6 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.517 * [backup-simplify]: Simplify (+ (* (pow N -1/6) (* (pow 1.0 1/3) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2)))))) (+ (* 0 (* 0.3333333333333333 (pow 1.0 1/3))) (* 0 (pow 1.0 1/3)))) into (- (* 0.05555555555555555 (* (pow (/ 1 N) 1/6) (pow 1.0 1/3))) (* 1/6 (* (pow (/ 1 N) 1/6) (pow (/ 1 (pow 1.0 5)) 1/3)))) 7.520 * [backup-simplify]: Simplify (- (* 0.05555555555555555 (* (pow (/ 1 N) 1/6) (pow 1.0 1/3))) (* 1/6 (* (pow (/ 1 N) 1/6) (pow (/ 1 (pow 1.0 5)) 1/3)))) into (- (* 0.05555555555555555 (* (pow (/ 1 N) 1/6) (pow 1.0 1/3))) (* 1/6 (* (pow (/ 1 N) 1/6) (pow (/ 1 (pow 1.0 5)) 1/3)))) 7.525 * [backup-simplify]: Simplify (+ (* (- (* 0.05555555555555555 (* (pow (/ 1 N) 1/6) (pow 1.0 1/3))) (* 1/6 (* (pow (/ 1 N) 1/6) (pow (/ 1 (pow 1.0 5)) 1/3)))) (pow N 2)) (+ (* (* 0.3333333333333333 (* (pow (/ 1 N) 1/6) (pow 1.0 1/3))) N) (* (pow (/ 1 N) 1/6) (pow 1.0 1/3)))) into (- (+ (* 0.05555555555555555 (* (pow (pow N 11) 1/6) (pow 1.0 1/3))) (+ (* (pow (/ 1 N) 1/6) (pow 1.0 1/3)) (* 0.3333333333333333 (* (pow (pow N 5) 1/6) (pow 1.0 1/3))))) (* 1/6 (* (pow (pow N 11) 1/6) (pow (/ 1 (pow 1.0 5)) 1/3)))) 7.526 * [backup-simplify]: Simplify (cbrt (/ (+ (/ 1 N) 1.0) (sqrt (/ 1 N)))) into (* (pow N 1/6) (pow (+ (/ 1 N) 1.0) 1/3)) 7.526 * [approximate]: Taking taylor expansion of (* (pow N 1/6) (pow (+ (/ 1 N) 1.0) 1/3)) in (N) around 0 7.526 * [taylor]: Taking taylor expansion of (* (pow N 1/6) (pow (+ (/ 1 N) 1.0) 1/3)) in N 7.526 * [taylor]: Taking taylor expansion of (pow N 1/6) in N 7.526 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log N))) in N 7.526 * [taylor]: Taking taylor expansion of (* 1/6 (log N)) in N 7.526 * [taylor]: Taking taylor expansion of 1/6 in N 7.526 * [backup-simplify]: Simplify 1/6 into 1/6 7.526 * [taylor]: Taking taylor expansion of (log N) in N 7.526 * [taylor]: Taking taylor expansion of N in N 7.526 * [backup-simplify]: Simplify 0 into 0 7.526 * [backup-simplify]: Simplify 1 into 1 7.526 * [backup-simplify]: Simplify (log 1) into 0 7.527 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 7.527 * [backup-simplify]: Simplify (* 1/6 (log N)) into (* 1/6 (log N)) 7.527 * [backup-simplify]: Simplify (exp (* 1/6 (log N))) into (pow N 1/6) 7.527 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 7.527 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 7.527 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 7.527 * [taylor]: Taking taylor expansion of 1/3 in N 7.527 * [backup-simplify]: Simplify 1/3 into 1/3 7.527 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 7.527 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.527 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.527 * [taylor]: Taking taylor expansion of N in N 7.527 * [backup-simplify]: Simplify 0 into 0 7.527 * [backup-simplify]: Simplify 1 into 1 7.528 * [backup-simplify]: Simplify (/ 1 1) into 1 7.528 * [taylor]: Taking taylor expansion of 1.0 in N 7.528 * [backup-simplify]: Simplify 1.0 into 1.0 7.528 * [backup-simplify]: Simplify (+ 1 0) into 1 7.529 * [backup-simplify]: Simplify (log 1) into 0 7.529 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.529 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 7.529 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 7.529 * [taylor]: Taking taylor expansion of (* (pow N 1/6) (pow (+ (/ 1 N) 1.0) 1/3)) in N 7.529 * [taylor]: Taking taylor expansion of (pow N 1/6) in N 7.529 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log N))) in N 7.530 * [taylor]: Taking taylor expansion of (* 1/6 (log N)) in N 7.530 * [taylor]: Taking taylor expansion of 1/6 in N 7.530 * [backup-simplify]: Simplify 1/6 into 1/6 7.530 * [taylor]: Taking taylor expansion of (log N) in N 7.530 * [taylor]: Taking taylor expansion of N in N 7.530 * [backup-simplify]: Simplify 0 into 0 7.530 * [backup-simplify]: Simplify 1 into 1 7.530 * [backup-simplify]: Simplify (log 1) into 0 7.530 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 7.531 * [backup-simplify]: Simplify (* 1/6 (log N)) into (* 1/6 (log N)) 7.531 * [backup-simplify]: Simplify (exp (* 1/6 (log N))) into (pow N 1/6) 7.531 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 7.531 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 7.531 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 7.531 * [taylor]: Taking taylor expansion of 1/3 in N 7.531 * [backup-simplify]: Simplify 1/3 into 1/3 7.531 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 7.531 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.531 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.531 * [taylor]: Taking taylor expansion of N in N 7.531 * [backup-simplify]: Simplify 0 into 0 7.531 * [backup-simplify]: Simplify 1 into 1 7.531 * [backup-simplify]: Simplify (/ 1 1) into 1 7.531 * [taylor]: Taking taylor expansion of 1.0 in N 7.531 * [backup-simplify]: Simplify 1.0 into 1.0 7.532 * [backup-simplify]: Simplify (+ 1 0) into 1 7.532 * [backup-simplify]: Simplify (log 1) into 0 7.533 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.533 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 7.533 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 7.533 * [backup-simplify]: Simplify (* (pow N 1/6) (pow N -1/3)) into (pow (/ 1 N) 1/6) 7.533 * [backup-simplify]: Simplify (pow (/ 1 N) 1/6) into (pow (/ 1 N) 1/6) 7.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.535 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.541 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 7.541 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.541 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (log N)))) into 0.3333333333333333 7.544 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 N) 1/3)) 7.545 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 7.546 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 7.546 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (log N))) into 0 7.547 * [backup-simplify]: Simplify (* (exp (* 1/6 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 7.547 * [backup-simplify]: Simplify (+ (* (pow N 1/6) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0 (pow N -1/3))) into (* 0.3333333333333333 (pow (/ 1 N) 1/6)) 7.548 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 1/6)) into (* 0.3333333333333333 (pow (/ 1 N) 1/6)) 7.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.549 * [backup-simplify]: Simplify (+ 0 0) into 0 7.559 * [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 7.559 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.560 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (log N))))) into (- 0.16666666666666666) 7.566 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 N) 1/3)) 7.568 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 7.569 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 7.570 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (log N)))) into 0 7.571 * [backup-simplify]: Simplify (* (exp (* 1/6 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.572 * [backup-simplify]: Simplify (+ (* (pow N 1/6) (* -0.1111111111111111 (pow (/ 1 N) 1/3))) (+ (* 0 (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0 (pow N -1/3)))) into (- (* 0.1111111111111111 (pow (/ 1 N) 1/6))) 7.572 * [backup-simplify]: Simplify (- (* 0.1111111111111111 (pow (/ 1 N) 1/6))) into (- (* 0.1111111111111111 (pow (/ 1 N) 1/6))) 7.573 * [backup-simplify]: Simplify (+ (* (- (* 0.1111111111111111 (pow (/ 1 (/ 1 N)) 1/6))) (pow (/ 1 N) 2)) (+ (* (* 0.3333333333333333 (pow (/ 1 (/ 1 N)) 1/6)) (/ 1 N)) (pow (/ 1 (/ 1 N)) 1/6))) into (- (+ (pow N 1/6) (* 0.3333333333333333 (pow (/ 1 (pow N 5)) 1/6))) (* 0.1111111111111111 (pow (/ 1 (pow N 11)) 1/6))) 7.574 * [backup-simplify]: Simplify (cbrt (/ (+ (/ 1 (- N)) 1.0) (sqrt (/ 1 (- N))))) into (pow (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) 1/3) 7.574 * [approximate]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) 1/3) in (N) around 0 7.574 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) 1/3) in N 7.574 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))))) in N 7.574 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))))) in N 7.574 * [taylor]: Taking taylor expansion of 1/3 in N 7.574 * [backup-simplify]: Simplify 1/3 into 1/3 7.574 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))) in N 7.574 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) in N 7.574 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.574 * [taylor]: Taking taylor expansion of 1.0 in N 7.574 * [backup-simplify]: Simplify 1.0 into 1.0 7.574 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.574 * [taylor]: Taking taylor expansion of N in N 7.574 * [backup-simplify]: Simplify 0 into 0 7.574 * [backup-simplify]: Simplify 1 into 1 7.575 * [backup-simplify]: Simplify (/ 1 1) into 1 7.575 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 7.575 * [taylor]: Taking taylor expansion of (/ -1 N) in N 7.575 * [taylor]: Taking taylor expansion of -1 in N 7.575 * [backup-simplify]: Simplify -1 into -1 7.575 * [taylor]: Taking taylor expansion of N in N 7.575 * [backup-simplify]: Simplify 0 into 0 7.575 * [backup-simplify]: Simplify 1 into 1 7.575 * [backup-simplify]: Simplify (/ -1 1) into -1 7.576 * [backup-simplify]: Simplify (sqrt 0) into 0 7.577 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.578 * [backup-simplify]: Simplify (- 1) into -1 7.578 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.579 * [backup-simplify]: Simplify (/ -1 +nan.0) into +nan.0 7.579 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 7.580 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log +nan.0)) into (- (log +nan.0) (log N)) 7.580 * [backup-simplify]: Simplify (* 1/3 (- (log +nan.0) (log N))) into (* 1/3 (- (log +nan.0) (log N))) 7.581 * [backup-simplify]: Simplify (exp (* 1/3 (- (log +nan.0) (log N)))) into (exp (* 1/3 (- (log +nan.0) (log N)))) 7.581 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) 1/3) in N 7.581 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))))) in N 7.581 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))))) in N 7.581 * [taylor]: Taking taylor expansion of 1/3 in N 7.581 * [backup-simplify]: Simplify 1/3 into 1/3 7.581 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))) in N 7.581 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) in N 7.581 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.581 * [taylor]: Taking taylor expansion of 1.0 in N 7.581 * [backup-simplify]: Simplify 1.0 into 1.0 7.581 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.581 * [taylor]: Taking taylor expansion of N in N 7.581 * [backup-simplify]: Simplify 0 into 0 7.581 * [backup-simplify]: Simplify 1 into 1 7.582 * [backup-simplify]: Simplify (/ 1 1) into 1 7.582 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 7.582 * [taylor]: Taking taylor expansion of (/ -1 N) in N 7.582 * [taylor]: Taking taylor expansion of -1 in N 7.582 * [backup-simplify]: Simplify -1 into -1 7.582 * [taylor]: Taking taylor expansion of N in N 7.582 * [backup-simplify]: Simplify 0 into 0 7.582 * [backup-simplify]: Simplify 1 into 1 7.582 * [backup-simplify]: Simplify (/ -1 1) into -1 7.583 * [backup-simplify]: Simplify (sqrt 0) into 0 7.584 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.584 * [backup-simplify]: Simplify (- 1) into -1 7.585 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.585 * [backup-simplify]: Simplify (/ -1 +nan.0) into +nan.0 7.586 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 7.587 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log +nan.0)) into (- (log +nan.0) (log N)) 7.587 * [backup-simplify]: Simplify (* 1/3 (- (log +nan.0) (log N))) into (* 1/3 (- (log +nan.0) (log N))) 7.588 * [backup-simplify]: Simplify (exp (* 1/3 (- (log +nan.0) (log N)))) into (exp (* 1/3 (- (log +nan.0) (log N)))) 7.588 * [backup-simplify]: Simplify (exp (* 1/3 (- (log +nan.0) (log N)))) into (exp (* 1/3 (- (log +nan.0) (log N)))) 7.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.589 * [backup-simplify]: Simplify (- 0) into 0 7.590 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.590 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.593 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.596 * [backup-simplify]: Simplify (- (/ 1.0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 7.606 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow +nan.0 1)))) 1) into +nan.0 7.607 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log +nan.0)) into (- (log +nan.0) (log N)) 7.608 * [backup-simplify]: Simplify (+ (* 1/3 +nan.0) (* 0 (- (log +nan.0) (log N)))) into (- +nan.0) 7.612 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log +nan.0) (log N)))) (+ (* (/ (pow (- +nan.0) 1) 1)))) into (* +nan.0 (exp (* 1/3 (- (log +nan.0) (log N))))) 7.612 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/3 (- (log +nan.0) (log N))))) into (* +nan.0 (exp (* 1/3 (- (log +nan.0) (log N))))) 7.613 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.614 * [backup-simplify]: Simplify (- 0) into 0 7.614 * [backup-simplify]: Simplify (+ 0 0) into 0 7.615 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.619 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.624 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 7.641 * [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 7.642 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log +nan.0)) into (- (log +nan.0) (log N)) 7.643 * [backup-simplify]: Simplify (+ (* 1/3 +nan.0) (+ (* 0 +nan.0) (* 0 (- (log +nan.0) (log N))))) into (- +nan.0) 7.650 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log +nan.0) (log N)))) (+ (* (/ (pow (- +nan.0) 2) 2)) (* (/ (pow (- +nan.0) 1) 1)))) into (* +nan.0 (exp (* 1/3 (- (log +nan.0) (log N))))) 7.650 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/3 (- (log +nan.0) (log N))))) into (* +nan.0 (exp (* 1/3 (- (log +nan.0) (log N))))) 7.652 * [backup-simplify]: Simplify (+ (* (* +nan.0 (exp (* 1/3 (- (log +nan.0) (log (/ 1 (- N))))))) (pow (/ 1 (- N)) 2)) (+ (* (* +nan.0 (exp (* 1/3 (- (log +nan.0) (log (/ 1 (- N))))))) (/ 1 (- N))) (exp (* 1/3 (- (log +nan.0) (log (/ 1 (- N)))))))) into (- (exp (* 1/3 (- (log +nan.0) (log (/ -1 N))))) (+ (* +nan.0 (/ (exp (* 1/3 (- (log +nan.0) (log (/ -1 N))))) (pow N 2))) (- (* +nan.0 (/ (exp (* 1/3 (- (log +nan.0) (log (/ -1 N))))) N))))) 7.653 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 2) 7.653 * [backup-simplify]: Simplify (cbrt (/ (+ N 1.0) (sqrt N))) into (* (pow (/ 1 N) 1/6) (pow (+ N 1.0) 1/3)) 7.653 * [approximate]: Taking taylor expansion of (* (pow (/ 1 N) 1/6) (pow (+ N 1.0) 1/3)) in (N) around 0 7.653 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/6) (pow (+ N 1.0) 1/3)) in N 7.653 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/6) in N 7.653 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (/ 1 N)))) in N 7.653 * [taylor]: Taking taylor expansion of (* 1/6 (log (/ 1 N))) in N 7.653 * [taylor]: Taking taylor expansion of 1/6 in N 7.653 * [backup-simplify]: Simplify 1/6 into 1/6 7.653 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 7.653 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.653 * [taylor]: Taking taylor expansion of N in N 7.653 * [backup-simplify]: Simplify 0 into 0 7.653 * [backup-simplify]: Simplify 1 into 1 7.654 * [backup-simplify]: Simplify (/ 1 1) into 1 7.654 * [backup-simplify]: Simplify (log 1) into 0 7.654 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.654 * [backup-simplify]: Simplify (* 1/6 (- (log N))) into (* -1/6 (log N)) 7.655 * [backup-simplify]: Simplify (exp (* -1/6 (log N))) into (pow N -1/6) 7.655 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 7.655 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 7.655 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 7.655 * [taylor]: Taking taylor expansion of 1/3 in N 7.655 * [backup-simplify]: Simplify 1/3 into 1/3 7.655 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 7.655 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.655 * [taylor]: Taking taylor expansion of N in N 7.655 * [backup-simplify]: Simplify 0 into 0 7.655 * [backup-simplify]: Simplify 1 into 1 7.655 * [taylor]: Taking taylor expansion of 1.0 in N 7.655 * [backup-simplify]: Simplify 1.0 into 1.0 7.655 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.656 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.657 * [backup-simplify]: Simplify (* 1/3 (log 1.0)) into (* 1/3 (log 1.0)) 7.658 * [backup-simplify]: Simplify (exp (* 1/3 (log 1.0))) into (pow 1.0 1/3) 7.658 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/6) (pow (+ N 1.0) 1/3)) in N 7.658 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/6) in N 7.658 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (/ 1 N)))) in N 7.658 * [taylor]: Taking taylor expansion of (* 1/6 (log (/ 1 N))) in N 7.658 * [taylor]: Taking taylor expansion of 1/6 in N 7.658 * [backup-simplify]: Simplify 1/6 into 1/6 7.658 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 7.658 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.658 * [taylor]: Taking taylor expansion of N in N 7.659 * [backup-simplify]: Simplify 0 into 0 7.659 * [backup-simplify]: Simplify 1 into 1 7.659 * [backup-simplify]: Simplify (/ 1 1) into 1 7.659 * [backup-simplify]: Simplify (log 1) into 0 7.660 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.660 * [backup-simplify]: Simplify (* 1/6 (- (log N))) into (* -1/6 (log N)) 7.660 * [backup-simplify]: Simplify (exp (* -1/6 (log N))) into (pow N -1/6) 7.660 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 7.660 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 7.660 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 7.660 * [taylor]: Taking taylor expansion of 1/3 in N 7.660 * [backup-simplify]: Simplify 1/3 into 1/3 7.660 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 7.660 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 7.660 * [taylor]: Taking taylor expansion of N in N 7.660 * [backup-simplify]: Simplify 0 into 0 7.660 * [backup-simplify]: Simplify 1 into 1 7.660 * [taylor]: Taking taylor expansion of 1.0 in N 7.660 * [backup-simplify]: Simplify 1.0 into 1.0 7.661 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.661 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 7.662 * [backup-simplify]: Simplify (* 1/3 (log 1.0)) into (* 1/3 (log 1.0)) 7.664 * [backup-simplify]: Simplify (exp (* 1/3 (log 1.0))) into (pow 1.0 1/3) 7.664 * [backup-simplify]: Simplify (* (pow N -1/6) (pow 1.0 1/3)) into (* (pow (/ 1 N) 1/6) (pow 1.0 1/3)) 7.665 * [backup-simplify]: Simplify (* (pow (/ 1 N) 1/6) (pow 1.0 1/3)) into (* (pow (/ 1 N) 1/6) (pow 1.0 1/3)) 7.665 * [backup-simplify]: Simplify (+ 1 0) into 1 7.671 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 7.672 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (log 1.0))) into 0.3333333333333333 7.678 * [backup-simplify]: Simplify (* (exp (* 1/3 (log 1.0))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow 1.0 1/3)) 7.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.680 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 7.680 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.681 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (log N)))) into 0 7.682 * [backup-simplify]: Simplify (* (exp (* -1/6 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 7.683 * [backup-simplify]: Simplify (+ (* (pow N -1/6) (* 0.3333333333333333 (pow 1.0 1/3))) (* 0 (pow 1.0 1/3))) into (* 0.3333333333333333 (* (pow (/ 1 N) 1/6) (pow 1.0 1/3))) 7.684 * [backup-simplify]: Simplify (* 0.3333333333333333 (* (pow (/ 1 N) 1/6) (pow 1.0 1/3))) into (* 0.3333333333333333 (* (pow (/ 1 N) 1/6) (pow 1.0 1/3))) 7.684 * [backup-simplify]: Simplify (+ 0 0) into 0 7.690 * [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)) 7.692 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow 1.0 2))) (+ (* 0 1.0) (* 0 (log 1.0)))) into (- (* 1/6 (/ 1 (pow 1.0 2)))) 7.701 * [backup-simplify]: Simplify (* (exp (* 1/3 (log 1.0))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (pow 1.0 1/3) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2))))) 7.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.703 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 7.703 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.704 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 7.705 * [backup-simplify]: Simplify (* (exp (* -1/6 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.708 * [backup-simplify]: Simplify (+ (* (pow N -1/6) (* (pow 1.0 1/3) (- 0.05555555555555555 (* 1/6 (/ 1 (pow 1.0 2)))))) (+ (* 0 (* 0.3333333333333333 (pow 1.0 1/3))) (* 0 (pow 1.0 1/3)))) into (- (* 0.05555555555555555 (* (pow (/ 1 N) 1/6) (pow 1.0 1/3))) (* 1/6 (* (pow (/ 1 N) 1/6) (pow (/ 1 (pow 1.0 5)) 1/3)))) 7.711 * [backup-simplify]: Simplify (- (* 0.05555555555555555 (* (pow (/ 1 N) 1/6) (pow 1.0 1/3))) (* 1/6 (* (pow (/ 1 N) 1/6) (pow (/ 1 (pow 1.0 5)) 1/3)))) into (- (* 0.05555555555555555 (* (pow (/ 1 N) 1/6) (pow 1.0 1/3))) (* 1/6 (* (pow (/ 1 N) 1/6) (pow (/ 1 (pow 1.0 5)) 1/3)))) 7.716 * [backup-simplify]: Simplify (+ (* (- (* 0.05555555555555555 (* (pow (/ 1 N) 1/6) (pow 1.0 1/3))) (* 1/6 (* (pow (/ 1 N) 1/6) (pow (/ 1 (pow 1.0 5)) 1/3)))) (pow N 2)) (+ (* (* 0.3333333333333333 (* (pow (/ 1 N) 1/6) (pow 1.0 1/3))) N) (* (pow (/ 1 N) 1/6) (pow 1.0 1/3)))) into (- (+ (* 0.05555555555555555 (* (pow (pow N 11) 1/6) (pow 1.0 1/3))) (+ (* (pow (/ 1 N) 1/6) (pow 1.0 1/3)) (* 0.3333333333333333 (* (pow (pow N 5) 1/6) (pow 1.0 1/3))))) (* 1/6 (* (pow (pow N 11) 1/6) (pow (/ 1 (pow 1.0 5)) 1/3)))) 7.716 * [backup-simplify]: Simplify (cbrt (/ (+ (/ 1 N) 1.0) (sqrt (/ 1 N)))) into (* (pow N 1/6) (pow (+ (/ 1 N) 1.0) 1/3)) 7.716 * [approximate]: Taking taylor expansion of (* (pow N 1/6) (pow (+ (/ 1 N) 1.0) 1/3)) in (N) around 0 7.716 * [taylor]: Taking taylor expansion of (* (pow N 1/6) (pow (+ (/ 1 N) 1.0) 1/3)) in N 7.716 * [taylor]: Taking taylor expansion of (pow N 1/6) in N 7.716 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log N))) in N 7.716 * [taylor]: Taking taylor expansion of (* 1/6 (log N)) in N 7.716 * [taylor]: Taking taylor expansion of 1/6 in N 7.716 * [backup-simplify]: Simplify 1/6 into 1/6 7.716 * [taylor]: Taking taylor expansion of (log N) in N 7.716 * [taylor]: Taking taylor expansion of N in N 7.716 * [backup-simplify]: Simplify 0 into 0 7.716 * [backup-simplify]: Simplify 1 into 1 7.717 * [backup-simplify]: Simplify (log 1) into 0 7.717 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 7.717 * [backup-simplify]: Simplify (* 1/6 (log N)) into (* 1/6 (log N)) 7.717 * [backup-simplify]: Simplify (exp (* 1/6 (log N))) into (pow N 1/6) 7.717 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 7.717 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 7.717 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 7.717 * [taylor]: Taking taylor expansion of 1/3 in N 7.717 * [backup-simplify]: Simplify 1/3 into 1/3 7.717 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 7.717 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.717 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.717 * [taylor]: Taking taylor expansion of N in N 7.717 * [backup-simplify]: Simplify 0 into 0 7.717 * [backup-simplify]: Simplify 1 into 1 7.718 * [backup-simplify]: Simplify (/ 1 1) into 1 7.718 * [taylor]: Taking taylor expansion of 1.0 in N 7.718 * [backup-simplify]: Simplify 1.0 into 1.0 7.718 * [backup-simplify]: Simplify (+ 1 0) into 1 7.719 * [backup-simplify]: Simplify (log 1) into 0 7.719 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.719 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 7.719 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 7.719 * [taylor]: Taking taylor expansion of (* (pow N 1/6) (pow (+ (/ 1 N) 1.0) 1/3)) in N 7.719 * [taylor]: Taking taylor expansion of (pow N 1/6) in N 7.719 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log N))) in N 7.719 * [taylor]: Taking taylor expansion of (* 1/6 (log N)) in N 7.720 * [taylor]: Taking taylor expansion of 1/6 in N 7.720 * [backup-simplify]: Simplify 1/6 into 1/6 7.720 * [taylor]: Taking taylor expansion of (log N) in N 7.720 * [taylor]: Taking taylor expansion of N in N 7.720 * [backup-simplify]: Simplify 0 into 0 7.720 * [backup-simplify]: Simplify 1 into 1 7.720 * [backup-simplify]: Simplify (log 1) into 0 7.720 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 7.721 * [backup-simplify]: Simplify (* 1/6 (log N)) into (* 1/6 (log N)) 7.721 * [backup-simplify]: Simplify (exp (* 1/6 (log N))) into (pow N 1/6) 7.721 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 7.721 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 7.721 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 7.721 * [taylor]: Taking taylor expansion of 1/3 in N 7.721 * [backup-simplify]: Simplify 1/3 into 1/3 7.721 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 7.721 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 7.721 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.721 * [taylor]: Taking taylor expansion of N in N 7.721 * [backup-simplify]: Simplify 0 into 0 7.721 * [backup-simplify]: Simplify 1 into 1 7.721 * [backup-simplify]: Simplify (/ 1 1) into 1 7.721 * [taylor]: Taking taylor expansion of 1.0 in N 7.721 * [backup-simplify]: Simplify 1.0 into 1.0 7.722 * [backup-simplify]: Simplify (+ 1 0) into 1 7.722 * [backup-simplify]: Simplify (log 1) into 0 7.723 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.723 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 7.723 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 7.723 * [backup-simplify]: Simplify (* (pow N 1/6) (pow N -1/3)) into (pow (/ 1 N) 1/6) 7.723 * [backup-simplify]: Simplify (pow (/ 1 N) 1/6) into (pow (/ 1 N) 1/6) 7.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.725 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.733 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 7.734 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.734 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (log N)))) into 0.3333333333333333 7.737 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 N) 1/3)) 7.738 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 7.739 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 7.739 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (log N))) into 0 7.740 * [backup-simplify]: Simplify (* (exp (* 1/6 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 7.740 * [backup-simplify]: Simplify (+ (* (pow N 1/6) (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0 (pow N -1/3))) into (* 0.3333333333333333 (pow (/ 1 N) 1/6)) 7.741 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 1/6)) into (* 0.3333333333333333 (pow (/ 1 N) 1/6)) 7.742 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.742 * [backup-simplify]: Simplify (+ 0 0) into 0 7.748 * [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 7.749 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 7.749 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (log N))))) into (- 0.16666666666666666) 7.753 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0.3333333333333333 2) 2)) (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.1111111111111111 (pow (/ 1 N) 1/3)) 7.754 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 7.755 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 7.755 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (log N)))) into 0 7.756 * [backup-simplify]: Simplify (* (exp (* 1/6 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.756 * [backup-simplify]: Simplify (+ (* (pow N 1/6) (* -0.1111111111111111 (pow (/ 1 N) 1/3))) (+ (* 0 (* 0.3333333333333333 (pow (/ 1 N) 1/3))) (* 0 (pow N -1/3)))) into (- (* 0.1111111111111111 (pow (/ 1 N) 1/6))) 7.756 * [backup-simplify]: Simplify (- (* 0.1111111111111111 (pow (/ 1 N) 1/6))) into (- (* 0.1111111111111111 (pow (/ 1 N) 1/6))) 7.757 * [backup-simplify]: Simplify (+ (* (- (* 0.1111111111111111 (pow (/ 1 (/ 1 N)) 1/6))) (pow (/ 1 N) 2)) (+ (* (* 0.3333333333333333 (pow (/ 1 (/ 1 N)) 1/6)) (/ 1 N)) (pow (/ 1 (/ 1 N)) 1/6))) into (- (+ (pow N 1/6) (* 0.3333333333333333 (pow (/ 1 (pow N 5)) 1/6))) (* 0.1111111111111111 (pow (/ 1 (pow N 11)) 1/6))) 7.757 * [backup-simplify]: Simplify (cbrt (/ (+ (/ 1 (- N)) 1.0) (sqrt (/ 1 (- N))))) into (pow (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) 1/3) 7.757 * [approximate]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) 1/3) in (N) around 0 7.757 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) 1/3) in N 7.757 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))))) in N 7.757 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))))) in N 7.757 * [taylor]: Taking taylor expansion of 1/3 in N 7.757 * [backup-simplify]: Simplify 1/3 into 1/3 7.757 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))) in N 7.757 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) in N 7.757 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.757 * [taylor]: Taking taylor expansion of 1.0 in N 7.757 * [backup-simplify]: Simplify 1.0 into 1.0 7.757 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.757 * [taylor]: Taking taylor expansion of N in N 7.757 * [backup-simplify]: Simplify 0 into 0 7.757 * [backup-simplify]: Simplify 1 into 1 7.758 * [backup-simplify]: Simplify (/ 1 1) into 1 7.758 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 7.758 * [taylor]: Taking taylor expansion of (/ -1 N) in N 7.758 * [taylor]: Taking taylor expansion of -1 in N 7.758 * [backup-simplify]: Simplify -1 into -1 7.758 * [taylor]: Taking taylor expansion of N in N 7.758 * [backup-simplify]: Simplify 0 into 0 7.758 * [backup-simplify]: Simplify 1 into 1 7.758 * [backup-simplify]: Simplify (/ -1 1) into -1 7.758 * [backup-simplify]: Simplify (sqrt 0) into 0 7.759 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.760 * [backup-simplify]: Simplify (- 1) into -1 7.760 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.760 * [backup-simplify]: Simplify (/ -1 +nan.0) into +nan.0 7.761 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 7.761 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log +nan.0)) into (- (log +nan.0) (log N)) 7.761 * [backup-simplify]: Simplify (* 1/3 (- (log +nan.0) (log N))) into (* 1/3 (- (log +nan.0) (log N))) 7.762 * [backup-simplify]: Simplify (exp (* 1/3 (- (log +nan.0) (log N)))) into (exp (* 1/3 (- (log +nan.0) (log N)))) 7.762 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) 1/3) in N 7.762 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))))) in N 7.762 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))))) in N 7.762 * [taylor]: Taking taylor expansion of 1/3 in N 7.762 * [backup-simplify]: Simplify 1/3 into 1/3 7.762 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))) in N 7.762 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) in N 7.762 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 7.762 * [taylor]: Taking taylor expansion of 1.0 in N 7.762 * [backup-simplify]: Simplify 1.0 into 1.0 7.762 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.762 * [taylor]: Taking taylor expansion of N in N 7.762 * [backup-simplify]: Simplify 0 into 0 7.762 * [backup-simplify]: Simplify 1 into 1 7.762 * [backup-simplify]: Simplify (/ 1 1) into 1 7.762 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 7.762 * [taylor]: Taking taylor expansion of (/ -1 N) in N 7.762 * [taylor]: Taking taylor expansion of -1 in N 7.762 * [backup-simplify]: Simplify -1 into -1 7.762 * [taylor]: Taking taylor expansion of N in N 7.762 * [backup-simplify]: Simplify 0 into 0 7.762 * [backup-simplify]: Simplify 1 into 1 7.763 * [backup-simplify]: Simplify (/ -1 1) into -1 7.763 * [backup-simplify]: Simplify (sqrt 0) into 0 7.764 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.764 * [backup-simplify]: Simplify (- 1) into -1 7.764 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.764 * [backup-simplify]: Simplify (/ -1 +nan.0) into +nan.0 7.765 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 7.765 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log +nan.0)) into (- (log +nan.0) (log N)) 7.766 * [backup-simplify]: Simplify (* 1/3 (- (log +nan.0) (log N))) into (* 1/3 (- (log +nan.0) (log N))) 7.766 * [backup-simplify]: Simplify (exp (* 1/3 (- (log +nan.0) (log N)))) into (exp (* 1/3 (- (log +nan.0) (log N)))) 7.766 * [backup-simplify]: Simplify (exp (* 1/3 (- (log +nan.0) (log N)))) into (exp (* 1/3 (- (log +nan.0) (log N)))) 7.767 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.767 * [backup-simplify]: Simplify (- 0) into 0 7.767 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.768 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.770 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.772 * [backup-simplify]: Simplify (- (/ 1.0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 7.777 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow +nan.0 1)))) 1) into +nan.0 7.777 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log +nan.0)) into (- (log +nan.0) (log N)) 7.778 * [backup-simplify]: Simplify (+ (* 1/3 +nan.0) (* 0 (- (log +nan.0) (log N)))) into (- +nan.0) 7.781 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log +nan.0) (log N)))) (+ (* (/ (pow (- +nan.0) 1) 1)))) into (* +nan.0 (exp (* 1/3 (- (log +nan.0) (log N))))) 7.781 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/3 (- (log +nan.0) (log N))))) into (* +nan.0 (exp (* 1/3 (- (log +nan.0) (log N))))) 7.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.783 * [backup-simplify]: Simplify (- 0) into 0 7.783 * [backup-simplify]: Simplify (+ 0 0) into 0 7.784 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.788 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.793 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 7.809 * [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 7.810 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log +nan.0)) into (- (log +nan.0) (log N)) 7.812 * [backup-simplify]: Simplify (+ (* 1/3 +nan.0) (+ (* 0 +nan.0) (* 0 (- (log +nan.0) (log N))))) into (- +nan.0) 7.818 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log +nan.0) (log N)))) (+ (* (/ (pow (- +nan.0) 2) 2)) (* (/ (pow (- +nan.0) 1) 1)))) into (* +nan.0 (exp (* 1/3 (- (log +nan.0) (log N))))) 7.819 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/3 (- (log +nan.0) (log N))))) into (* +nan.0 (exp (* 1/3 (- (log +nan.0) (log N))))) 7.821 * [backup-simplify]: Simplify (+ (* (* +nan.0 (exp (* 1/3 (- (log +nan.0) (log (/ 1 (- N))))))) (pow (/ 1 (- N)) 2)) (+ (* (* +nan.0 (exp (* 1/3 (- (log +nan.0) (log (/ 1 (- N))))))) (/ 1 (- N))) (exp (* 1/3 (- (log +nan.0) (log (/ 1 (- N)))))))) into (- (exp (* 1/3 (- (log +nan.0) (log (/ -1 N))))) (+ (* +nan.0 (/ (exp (* 1/3 (- (log +nan.0) (log (/ -1 N))))) (pow N 2))) (- (* +nan.0 (/ (exp (* 1/3 (- (log +nan.0) (log (/ -1 N))))) N))))) 7.821 * * * [progress]: simplifying candidates 7.831 * [simplify]: Simplifying: (* (/ 1 (sqrt N)) (* (* (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N)))) (cbrt (/ (+ N 1.0) (sqrt N))))) (* (exp (- (log (sqrt N)))) (* (* (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N)))) (cbrt (/ (+ N 1.0) (sqrt N))))) (log (+ (- (log (sqrt N))) (log (* (* (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N)))) (cbrt (/ (+ N 1.0) (sqrt N))))))) (exp (+ (- (log (sqrt N))) (log (* (* (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N)))) (cbrt (/ (+ N 1.0) (sqrt N))))))) (* (cbrt (+ (- (log (sqrt N))) (log (* (* (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N)))) (cbrt (/ (+ N 1.0) (sqrt N))))))) (cbrt (+ (- (log (sqrt N))) (log (* (* (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N)))) (cbrt (/ (+ N 1.0) (sqrt N)))))))) (cbrt (+ (- (log (sqrt N))) (log (* (* (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N)))) (cbrt (/ (+ N 1.0) (sqrt N))))))) (* (* (+ (- (log (sqrt N))) (log (* (* (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N)))) (cbrt (/ (+ N 1.0) (sqrt N)))))) (+ (- (log (sqrt N))) (log (* (* (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N)))) (cbrt (/ (+ N 1.0) (sqrt N))))))) (+ (- (log (sqrt N))) (log (* (* (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N)))) (cbrt (/ (+ N 1.0) (sqrt N))))))) (sqrt (+ (- (log (sqrt N))) (log (* (* (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N)))) (cbrt (/ (+ N 1.0) (sqrt N))))))) (sqrt (+ (- (log (sqrt N))) (log (* (* (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N)))) (cbrt (/ (+ N 1.0) (sqrt N))))))) (+ (pow (- (log (sqrt N))) 3) (pow (log (* (* (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N)))) (cbrt (/ (+ N 1.0) (sqrt N))))) 3)) (+ (* (- (log (sqrt N))) (- (log (sqrt N)))) (- (* (log (* (* (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N)))) (cbrt (/ (+ N 1.0) (sqrt N))))) (log (* (* (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N)))) (cbrt (/ (+ N 1.0) (sqrt N)))))) (* (- (log (sqrt N))) (log (* (* (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N)))) (cbrt (/ (+ N 1.0) (sqrt N)))))))) (- (* (- (log (sqrt N))) (- (log (sqrt N)))) (* (log (* (* (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N)))) (cbrt (/ (+ N 1.0) (sqrt N))))) (log (* (* (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N)))) (cbrt (/ (+ N 1.0) (sqrt N))))))) (- (- (log (sqrt N))) (log (* (* (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N)))) (cbrt (/ (+ N 1.0) (sqrt N)))))) (+ (- (log (sqrt N))) (log (* (* (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N)))) (cbrt (/ (+ N 1.0) (sqrt N)))))) (+ (- (log (sqrt N))) (log (* (* (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N)))) (cbrt (/ (+ N 1.0) (sqrt N)))))) (+ (- (log (sqrt N))) (log (* (* (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N)))) (cbrt (/ (+ N 1.0) (sqrt N)))))) (+ (- (log (sqrt N))) (log (* (* (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N)))) (cbrt (/ (+ N 1.0) (sqrt N)))))) (+ (- (log (sqrt N))) (log (* (* (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N)))) (cbrt (/ (+ N 1.0) (sqrt N)))))) (+ (- (log (sqrt N))) (log (* (* (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N)))) (cbrt (/ (+ N 1.0) (sqrt N)))))) (+ (- (log (sqrt N))) (log (* (* (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N)))) (cbrt (/ (+ N 1.0) (sqrt N)))))) (+ (- (log (sqrt N))) (log (* (* (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N)))) (cbrt (/ (+ N 1.0) (sqrt N)))))) (+ (- (log (sqrt N))) (log (* (* (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N)))) (cbrt (/ (+ N 1.0) (sqrt N)))))) (+ (- (log (sqrt N))) (log (* (* (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N)))) (cbrt (/ (+ N 1.0) (sqrt N)))))) (+ (- (log (sqrt N))) (log (* (* (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N)))) (cbrt (/ (+ N 1.0) (sqrt N)))))) (+ (- (log (sqrt N))) (log (* (* (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N)))) (cbrt (/ (+ N 1.0) (sqrt N)))))) (+ (- (log (sqrt N))) (log (* (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N)))))) (+ (- (log (cbrt (sqrt N)))) (log (* (* (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N)))) (cbrt (/ (+ N 1.0) (sqrt N)))))) (+ (- (log (sqrt (cbrt N)))) (log (* (* (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N)))) (cbrt (/ (+ N 1.0) (sqrt N)))))) (+ (- (log (sqrt (sqrt N)))) (log (* (* (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N)))) (cbrt (/ (+ N 1.0) (sqrt N)))))) (+ (- (log (sqrt N))) (log (* (* (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N)))) (cbrt (/ (+ N 1.0) (sqrt N)))))) (+ (- (log (sqrt (sqrt N)))) (log (* (* (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N)))) (cbrt (/ (+ N 1.0) (sqrt N)))))) (+ (- (log (sqrt N))) (log (* (* (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N)))) (cbrt (/ (+ N 1.0) (sqrt N)))))) (+ (- (log (sqrt N))) (log (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (cbrt (+ N 1.0))))) (+ (- (log (sqrt N))) (log (* (* (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (+ N 1.0))) (cbrt (+ N 1.0))))) (+ (- (log (sqrt N))) (log (* (* (cbrt (+ N 1.0)) (cbrt (/ (+ N 1.0) (sqrt N)))) (cbrt (+ N 1.0))))) (+ (- (log (sqrt N))) (log (* (* (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N)))) (cbrt (+ N 1.0))))) (+ (- (log (sqrt N))) (log (* (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0))) (cbrt (/ (+ N 1.0) (sqrt N)))))) (+ (- (log (sqrt N))) (log (* (* (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (+ N 1.0))) (cbrt (/ (+ N 1.0) (sqrt N)))))) (+ (- (log (sqrt N))) (log (* (* (cbrt (+ N 1.0)) (cbrt (/ (+ N 1.0) (sqrt N)))) (cbrt (/ (+ N 1.0) (sqrt N)))))) (- (log (sqrt N)) (log (* (* (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N)))) (cbrt (/ (+ N 1.0) (sqrt N)))))) (+ 1/3 1/3) (+ 1 1) (* (/ (+ N 1.0) (sqrt N)) (/ (+ N 1.0) (sqrt N))) (* (cbrt (/ (+ N 1.0) (sqrt N))) (cbrt (/ (+ N 1.0) (sqrt N)))) (+ 1 1) (+ (log (cbrt (/ (+ N 1.0) (sqrt N)))) (log 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Extracting #10: cost 0 inf + 835401 9.725 * [simplify]: Simplified to: (/ (/ (+ 1.0 N) (sqrt N)) (sqrt N)) (/ (/ (+ 1.0 N) (sqrt N)) (sqrt N)) (log (- (log (/ (+ 1.0 N) (sqrt N))) (log (sqrt N)))) (/ (/ (+ 1.0 N) (sqrt N)) (sqrt N)) (* (cbrt (- (log (/ (+ 1.0 N) (sqrt N))) (log (sqrt N)))) (cbrt (- (log (/ (+ 1.0 N) (sqrt N))) (log (sqrt N))))) (cbrt (- (log (/ (+ 1.0 N) (sqrt N))) (log (sqrt N)))) (* (- (log (/ (+ 1.0 N) (sqrt N))) (log (sqrt N))) (* (- (log (/ (+ 1.0 N) (sqrt N))) (log (sqrt N))) (- (log (/ (+ 1.0 N) (sqrt N))) (log (sqrt N))))) (sqrt (- (log (/ (+ 1.0 N) (sqrt N))) (log (sqrt N)))) (sqrt (- (log (/ (+ 1.0 N) (sqrt N))) (log (sqrt N)))) (- (* (log (/ (+ 1.0 N) (sqrt N))) (* (log (/ (+ 1.0 N) (sqrt N))) (log (/ (+ 1.0 N) (sqrt N))))) (* (* (log (sqrt N)) (log (sqrt N))) (log (sqrt N)))) (+ (* (log (/ (+ 1.0 N) (sqrt N))) (log (/ (+ 1.0 N) (sqrt N)))) (* (log (sqrt N)) (+ (log (/ (+ 1.0 N) (sqrt N))) (log (sqrt N))))) (- (* (log (sqrt N)) (log (sqrt N))) (* (log (/ (+ 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(sqrt (sqrt N)))) 1 (cbrt (/ (+ 1.0 N) (sqrt N))) (cbrt (/ 1 (sqrt (sqrt N)))) (cbrt (/ (+ 1.0 N) (sqrt (sqrt N)))) 1 (cbrt (/ (+ 1.0 N) (sqrt N))) 1 (cbrt (/ (+ 1.0 N) (sqrt N))) (cbrt (+ 1.0 N)) (cbrt (/ 1 (sqrt N))) (cbrt (+ 1.0 N)) (cbrt (sqrt N)) (* (cbrt (cbrt (/ (+ 1.0 N) (sqrt N)))) (cbrt (cbrt (/ (+ 1.0 N) (sqrt N))))) (cbrt (cbrt (/ (+ 1.0 N) (sqrt N)))) (/ (+ 1.0 N) (sqrt N)) (sqrt (cbrt (/ (+ 1.0 N) (sqrt N)))) (sqrt (cbrt (/ (+ 1.0 N) (sqrt N)))) (- (- (log (- +nan.0)) (+ (log +nan.0) (- (log N) (* (* +nan.0 N) N)))) (* +nan.0 N)) (+ (log (- +nan.0)) (- (/ (- +nan.0) (* N N)) (- (log +nan.0) (/ +nan.0 N)))) (+ (- (+ (log (/ -1 N)) (/ +nan.0 (* N N)))) (/ +nan.0 N)) (- (+ (exp (* 1/3 (- (log 1.0) (log N)))) (* (exp (* 1/3 (- (log 1.0) (log N)))) (+ (* 0.6666666666666666 N) (* (* N N) 0.5555555555555556)))) (* (* 0.6666666666666666 (* (/ N 1.0) (/ N 1.0))) (exp (* 1/3 (- (log 1.0) (log N)))))) (- (+ (pow (/ 1 N) -1/3) (* (cbrt (/ 1 (* N N))) 0.6666666666666666)) (* 0.1111111111111111 (cbrt (/ 1 (pow N 5))))) (- (exp (* 1/3 (+ (log +nan.0) (* (log (/ -1 N)) -2)))) (* +nan.0 (- (/ (exp (* 1/3 (+ (log +nan.0) (* (log (/ -1 N)) -2)))) N) (/ (exp (* 1/3 (+ (log +nan.0) (* (log (/ -1 N)) -2)))) (* N N))))) (+ (* (cbrt 1.0) (+ (* (pow (pow N 5) 1/6) 0.3333333333333333) (pow (/ 1 N) 1/6))) (* (pow (pow N 11) 1/6) (- (* 0.05555555555555555 (cbrt 1.0)) (* 1/6 (cbrt (/ 1 (pow 1.0 5))))))) (- (+ (pow N 1/6) (* 0.3333333333333333 (pow (/ 1 (pow N 5)) 1/6))) (* 0.1111111111111111 (pow (/ 1 (pow N 11)) 1/6))) (- (exp (* (- (log +nan.0) (log (/ -1 N))) 1/3)) (* +nan.0 (- (/ (exp (* (- (log +nan.0) (log (/ -1 N))) 1/3)) (* N N)) (/ (exp (* (- (log +nan.0) (log (/ -1 N))) 1/3)) N)))) (+ (* (cbrt 1.0) (+ (* (pow (pow N 5) 1/6) 0.3333333333333333) (pow (/ 1 N) 1/6))) (* (pow (pow N 11) 1/6) (- (* 0.05555555555555555 (cbrt 1.0)) (* 1/6 (cbrt (/ 1 (pow 1.0 5))))))) (- (+ (pow N 1/6) (* 0.3333333333333333 (pow (/ 1 (pow N 5)) 1/6))) (* 0.1111111111111111 (pow (/ 1 (pow N 11)) 1/6))) (- (exp (* (- (log +nan.0) (log (/ -1 N))) 1/3)) (* +nan.0 (- (/ (exp (* (- (log +nan.0) (log (/ -1 N))) 1/3)) (* N N)) (/ (exp (* (- (log +nan.0) (log (/ -1 N))) 1/3)) N)))) 9.800 * * * [progress]: adding candidates to table 11.262 * [progress]: [Phase 3 of 3] Extracting. 11.262 * * [regime]: Finding splitpoints for: (# # # #) 11.263 * * * [regime-changes]: Trying 1 branch expressions: (N) 11.263 * * * * [regimes]: Trying to branch on N from (# # # #) 11.318 * * * [regime]: Found split indices: #