21.188 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.082 * * * [progress]: [2/2] Setting up program. 0.088 * [progress]: [Phase 2 of 3] Improving. 0.089 * [simplify]: Simplifying: (- (log (+ N 1.0)) (log N)) 0.089 * * [simplify]: iteration 0: 6 enodes 0.091 * * [simplify]: iteration 1: 9 enodes 0.093 * * [simplify]: iteration 2: 10 enodes 0.096 * * [simplify]: iteration complete: 10 enodes 0.096 * * [simplify]: Extracting #0: cost 1 inf + 0 0.096 * * [simplify]: Extracting #1: cost 4 inf + 0 0.096 * * [simplify]: Extracting #2: cost 6 inf + 0 0.096 * * [simplify]: Extracting #3: cost 6 inf + 1 0.096 * * [simplify]: Extracting #4: cost 0 inf + 560 0.096 * [simplify]: Simplified to: (- (log (+ 1.0 N)) (log N)) 0.097 * * [progress]: iteration 1 / 4 0.097 * * * [progress]: picking best candidate 0.103 * * * * [pick]: Picked # 0.104 * * * [progress]: localizing error 0.121 * * * [progress]: generating rewritten candidates 0.121 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.151 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.164 * * * [progress]: generating series expansions 0.164 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.170 * [backup-simplify]: Simplify (- (log (+ N 1.0)) (log N)) into (- (log (+ N 1.0)) (log N)) 0.170 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.171 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.171 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.171 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.171 * [taylor]: Taking taylor expansion of N in N 0.172 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify 1 into 1 0.172 * [taylor]: Taking taylor expansion of 1.0 in N 0.172 * [backup-simplify]: Simplify 1.0 into 1.0 0.173 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.174 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.174 * [taylor]: Taking taylor expansion of (log N) in N 0.174 * [taylor]: Taking taylor expansion of N in N 0.174 * [backup-simplify]: Simplify 0 into 0 0.174 * [backup-simplify]: Simplify 1 into 1 0.175 * [backup-simplify]: Simplify (log 1) into 0 0.175 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.175 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.175 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.175 * [taylor]: Taking taylor expansion of N in N 0.175 * [backup-simplify]: Simplify 0 into 0 0.175 * [backup-simplify]: Simplify 1 into 1 0.175 * [taylor]: Taking taylor expansion of 1.0 in N 0.175 * [backup-simplify]: Simplify 1.0 into 1.0 0.175 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.176 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.176 * [taylor]: Taking taylor expansion of (log N) in N 0.176 * [taylor]: Taking taylor expansion of N in N 0.176 * [backup-simplify]: Simplify 0 into 0 0.176 * [backup-simplify]: Simplify 1 into 1 0.176 * [backup-simplify]: Simplify (log 1) into 0 0.180 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.180 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.181 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N)) 0.182 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.183 * [backup-simplify]: Simplify (+ 1 0) into 1 0.188 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.189 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.190 * [backup-simplify]: Simplify (- 0) into 0 0.190 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.190 * [backup-simplify]: Simplify 1.0 into 1.0 0.191 * [backup-simplify]: Simplify (+ 0 0) into 0 0.197 * [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)) 0.198 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.198 * [backup-simplify]: Simplify (- 0) into 0 0.200 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.201 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.204 * [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))) 0.204 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) 0.204 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.204 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.204 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.204 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.204 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.204 * [taylor]: Taking taylor expansion of N in N 0.204 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify 1 into 1 0.204 * [backup-simplify]: Simplify (/ 1 1) into 1 0.204 * [taylor]: Taking taylor expansion of 1.0 in N 0.204 * [backup-simplify]: Simplify 1.0 into 1.0 0.205 * [backup-simplify]: Simplify (+ 1 0) into 1 0.205 * [backup-simplify]: Simplify (log 1) into 0 0.205 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.205 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.205 * [taylor]: Taking taylor expansion of N in N 0.205 * [backup-simplify]: Simplify 0 into 0 0.205 * [backup-simplify]: Simplify 1 into 1 0.205 * [backup-simplify]: Simplify (/ 1 1) into 1 0.206 * [backup-simplify]: Simplify (log 1) into 0 0.206 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.206 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.206 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.206 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.206 * [taylor]: Taking taylor expansion of N in N 0.206 * [backup-simplify]: Simplify 0 into 0 0.206 * [backup-simplify]: Simplify 1 into 1 0.206 * [backup-simplify]: Simplify (/ 1 1) into 1 0.206 * [taylor]: Taking taylor expansion of 1.0 in N 0.206 * [backup-simplify]: Simplify 1.0 into 1.0 0.206 * [backup-simplify]: Simplify (+ 1 0) into 1 0.207 * [backup-simplify]: Simplify (log 1) into 0 0.207 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.207 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.207 * [taylor]: Taking taylor expansion of N in N 0.207 * [backup-simplify]: Simplify 0 into 0 0.207 * [backup-simplify]: Simplify 1 into 1 0.207 * [backup-simplify]: Simplify (/ 1 1) into 1 0.207 * [backup-simplify]: Simplify (log 1) into 0 0.207 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.208 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.208 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.208 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.208 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.209 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.214 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.215 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.215 * [backup-simplify]: Simplify (- 0) into 0 0.216 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.216 * [backup-simplify]: Simplify 1.0 into 1.0 0.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.217 * [backup-simplify]: Simplify (+ 0 0) into 0 0.224 * [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 0.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.228 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.228 * [backup-simplify]: Simplify (- 0) into 0 0.229 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.229 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.231 * [backup-simplify]: Simplify (+ 0 0) into 0 0.249 * [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 0.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.261 * [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 0.262 * [backup-simplify]: Simplify (- 0) into 0 0.263 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.263 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.264 * [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)))) 0.264 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1.0)) (log (/ 1 (- N)))) into (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) 0.264 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.264 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.264 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.264 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.264 * [taylor]: Taking taylor expansion of 1.0 in N 0.264 * [backup-simplify]: Simplify 1.0 into 1.0 0.264 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.264 * [taylor]: Taking taylor expansion of N in N 0.264 * [backup-simplify]: Simplify 0 into 0 0.264 * [backup-simplify]: Simplify 1 into 1 0.265 * [backup-simplify]: Simplify (/ 1 1) into 1 0.265 * [backup-simplify]: Simplify (- 1) into -1 0.265 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.266 * [backup-simplify]: Simplify (log -1) into (log -1) 0.266 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.266 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.266 * [taylor]: Taking taylor expansion of -1 in N 0.266 * [backup-simplify]: Simplify -1 into -1 0.266 * [taylor]: Taking taylor expansion of N in N 0.266 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify 1 into 1 0.267 * [backup-simplify]: Simplify (/ -1 1) into -1 0.267 * [backup-simplify]: Simplify (log -1) into (log -1) 0.267 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.267 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.267 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.267 * [taylor]: Taking taylor expansion of 1.0 in N 0.267 * [backup-simplify]: Simplify 1.0 into 1.0 0.267 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.267 * [taylor]: Taking taylor expansion of N in N 0.267 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify 1 into 1 0.268 * [backup-simplify]: Simplify (/ 1 1) into 1 0.268 * [backup-simplify]: Simplify (- 1) into -1 0.269 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.269 * [backup-simplify]: Simplify (log -1) into (log -1) 0.269 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.269 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.269 * [taylor]: Taking taylor expansion of -1 in N 0.269 * [backup-simplify]: Simplify -1 into -1 0.269 * [taylor]: Taking taylor expansion of N in N 0.269 * [backup-simplify]: Simplify 0 into 0 0.269 * [backup-simplify]: Simplify 1 into 1 0.270 * [backup-simplify]: Simplify (/ -1 1) into -1 0.270 * [backup-simplify]: Simplify (log -1) into (log -1) 0.271 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.272 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.272 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.273 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.273 * [backup-simplify]: Simplify 0 into 0 0.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.275 * [backup-simplify]: Simplify (- 0) into 0 0.275 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.282 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.283 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.285 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.285 * [backup-simplify]: Simplify (- 0) into 0 0.286 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 0.286 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.287 * [backup-simplify]: Simplify (- 0) into 0 0.288 * [backup-simplify]: Simplify (+ 0 0) into 0 0.299 * [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 0.301 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.304 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.304 * [backup-simplify]: Simplify (- 0) into 0 0.305 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.305 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.306 * [backup-simplify]: Simplify (- 0) into 0 0.307 * [backup-simplify]: Simplify (+ 0 0) into 0 0.325 * [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 0.326 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.331 * [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 0.332 * [backup-simplify]: Simplify (- 0) into 0 0.332 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333) 0.332 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.334 * [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)))) 0.334 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.334 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 0.334 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.334 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.334 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.334 * [taylor]: Taking taylor expansion of N in N 0.334 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify 1 into 1 0.334 * [taylor]: Taking taylor expansion of 1.0 in N 0.334 * [backup-simplify]: Simplify 1.0 into 1.0 0.335 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.335 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.335 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.335 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.335 * [taylor]: Taking taylor expansion of N in N 0.335 * [backup-simplify]: Simplify 0 into 0 0.335 * [backup-simplify]: Simplify 1 into 1 0.335 * [taylor]: Taking taylor expansion of 1.0 in N 0.335 * [backup-simplify]: Simplify 1.0 into 1.0 0.336 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.336 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.337 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.337 * [backup-simplify]: Simplify (+ 1 0) into 1 0.342 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.342 * [backup-simplify]: Simplify 1.0 into 1.0 0.342 * [backup-simplify]: Simplify (+ 0 0) into 0 0.351 * [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)) 0.352 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.353 * [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)))) 0.353 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 0.354 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.354 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.354 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.354 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.354 * [taylor]: Taking taylor expansion of N in N 0.354 * [backup-simplify]: Simplify 0 into 0 0.354 * [backup-simplify]: Simplify 1 into 1 0.354 * [backup-simplify]: Simplify (/ 1 1) into 1 0.354 * [taylor]: Taking taylor expansion of 1.0 in N 0.354 * [backup-simplify]: Simplify 1.0 into 1.0 0.354 * [backup-simplify]: Simplify (+ 1 0) into 1 0.355 * [backup-simplify]: Simplify (log 1) into 0 0.355 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.355 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.355 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.355 * [taylor]: Taking taylor expansion of N in N 0.355 * [backup-simplify]: Simplify 0 into 0 0.355 * [backup-simplify]: Simplify 1 into 1 0.355 * [backup-simplify]: Simplify (/ 1 1) into 1 0.355 * [taylor]: Taking taylor expansion of 1.0 in N 0.355 * [backup-simplify]: Simplify 1.0 into 1.0 0.356 * [backup-simplify]: Simplify (+ 1 0) into 1 0.357 * [backup-simplify]: Simplify (log 1) into 0 0.357 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.358 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.359 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.363 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.363 * [backup-simplify]: Simplify 1.0 into 1.0 0.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.364 * [backup-simplify]: Simplify (+ 0 0) into 0 0.370 * [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 0.370 * [backup-simplify]: Simplify -0.5 into -0.5 0.370 * [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)))) 0.370 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 0.370 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.370 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.370 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.370 * [taylor]: Taking taylor expansion of 1.0 in N 0.370 * [backup-simplify]: Simplify 1.0 into 1.0 0.370 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.370 * [taylor]: Taking taylor expansion of N in N 0.370 * [backup-simplify]: Simplify 0 into 0 0.370 * [backup-simplify]: Simplify 1 into 1 0.371 * [backup-simplify]: Simplify (/ 1 1) into 1 0.371 * [backup-simplify]: Simplify (- 1) into -1 0.371 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.371 * [backup-simplify]: Simplify (log -1) into (log -1) 0.371 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.372 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.372 * [taylor]: Taking taylor expansion of 1.0 in N 0.372 * [backup-simplify]: Simplify 1.0 into 1.0 0.372 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.372 * [taylor]: Taking taylor expansion of N in N 0.372 * [backup-simplify]: Simplify 0 into 0 0.372 * [backup-simplify]: Simplify 1 into 1 0.372 * [backup-simplify]: Simplify (/ 1 1) into 1 0.372 * [backup-simplify]: Simplify (- 1) into -1 0.372 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.373 * [backup-simplify]: Simplify (log -1) into (log -1) 0.373 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.373 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.374 * [backup-simplify]: Simplify (- 0) into 0 0.374 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.378 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.378 * [backup-simplify]: Simplify -1.0 into -1.0 0.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.379 * [backup-simplify]: Simplify (- 0) into 0 0.379 * [backup-simplify]: Simplify (+ 0 0) into 0 0.387 * [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 0.387 * [backup-simplify]: Simplify -0.5 into -0.5 0.388 * [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)))) 0.388 * * * [progress]: simplifying candidates 0.389 * [simplify]: Simplifying: (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma 1 (log (+ N 1.0)) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma 1 (log (+ N 1.0)) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (expm1 (- (log (+ N 1.0)) (log N))) (log1p (- (log (+ N 1.0)) (log N))) (- (log N)) (- (log N)) (- (log N)) (- (log N)) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (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)) (expm1 (log (+ N 1.0))) (log1p (log (+ N 1.0))) (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log 1) (log (+ N 1.0)) (log 1) (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (exp (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (+ (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)))) 0.390 * * [simplify]: iteration 0: 127 enodes 0.421 * * [simplify]: iteration 1: 286 enodes 0.561 * * [simplify]: iteration 2: 708 enodes 0.940 * * [simplify]: iteration 3: 2040 enodes 2.747 * * [simplify]: iteration complete: 5001 enodes 2.747 * * [simplify]: Extracting #0: cost 44 inf + 0 2.748 * * [simplify]: Extracting #1: cost 359 inf + 1 2.755 * * [simplify]: Extracting #2: cost 1022 inf + 2530 2.780 * * [simplify]: Extracting #3: cost 892 inf + 77982 2.833 * * [simplify]: Extracting #4: cost 193 inf + 256881 2.943 * * [simplify]: Extracting #5: cost 36 inf + 308144 3.018 * * [simplify]: Extracting #6: cost 8 inf + 313581 3.125 * * [simplify]: Extracting #7: cost 0 inf + 315605 3.211 * [simplify]: Simplified to: (- (log (+ 1.0 N)) (log N)) 0 (- (log (+ 1.0 N)) (log N)) 0 (- (log (+ 1.0 N)) (log N)) 0 (- (log (+ 1.0 N)) (log N)) 0 (- (log (+ 1.0 N)) (log N)) 0 (- (log (+ 1.0 N)) (log N)) 0 (- (log (+ 1.0 N)) (log N)) 0 (- (log (+ 1.0 N)) (log N)) 0 (- (log (+ 1.0 N)) (log N)) 0 (- (log (+ 1.0 N)) (log N)) 0 (- (log (+ 1.0 N)) (log N)) 0 (- (log (+ 1.0 N)) (log N)) 0 (- (log (+ 1.0 N)) (log N)) 0 (- (log (+ 1.0 N)) (log N)) 0 (- (log (+ 1.0 N)) (log N)) 0 (- (log (+ 1.0 N)) (log N)) 0 (expm1 (- (log (+ 1.0 N)) (log N))) (log1p (- (log (+ 1.0 N)) (log N))) (- (log N)) (- (log N)) (- (log N)) (- (log N)) (/ (+ 1.0 N) N) (log (- (log (+ 1.0 N)) (log N))) (/ (+ 1.0 N) N) (* (cbrt (- (log (+ 1.0 N)) (log N))) (cbrt (- (log (+ 1.0 N)) (log N)))) (cbrt (- (log (+ 1.0 N)) (log N))) (* (* (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log N))) (- (log (+ 1.0 N)) (log N))) (sqrt (- (log (+ 1.0 N)) (log N))) (sqrt (- (log (+ 1.0 N)) (log N))) (- (* (* (log (+ 1.0 N)) (log (+ 1.0 N))) (log (+ 1.0 N))) (* (* (log N) (log N)) (log N))) (fma (log (+ 1.0 N)) (log (+ 1.0 N)) (* (+ (log (+ 1.0 N)) (log N)) (log N))) (- (log N)) (* (- (log (+ 1.0 N)) (log N)) (+ (log (+ 1.0 N)) (log N))) (+ (log (+ 1.0 N)) (log N)) (+ (sqrt (log N)) (sqrt (log (+ 1.0 N)))) (- (sqrt (log (+ 1.0 N))) (sqrt (log N))) (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log N)) (fma -2 (log (cbrt N)) (log (+ 1.0 N))) (- (log (+ 1.0 N)) (log (sqrt N))) (log (+ 1.0 N)) (- (log (cbrt (+ 1.0 N))) (log N)) (- (log (sqrt (+ 1.0 N))) (log N)) (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log N)) (+ (log (fma (- 1.0 N) 1.0 (* N N))) (log N)) (+ (log N) (log (- N 1.0))) (- (log N)) (expm1 (log (+ 1.0 N))) (log1p (log (+ 1.0 N))) (log (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (log (cbrt (+ 1.0 N))) (log (sqrt (+ 1.0 N))) (log (sqrt (+ 1.0 N))) 0 (log (+ 1.0 N)) 0 (log (+ 1.0 N)) (log (fma 1.0 (* 1.0 1.0) (* (* N N) N))) (log (fma (- 1.0 N) 1.0 (* N N))) (log (* (+ N 1.0) (- N 1.0))) (log (- N 1.0)) (log (+ 1.0 N)) (log (log (+ 1.0 N))) (+ 1.0 N) (* (cbrt (log (+ 1.0 N))) (cbrt (log (+ 1.0 N)))) (cbrt (log (+ 1.0 N))) (* (* (log (+ 1.0 N)) (log (+ 1.0 N))) (log (+ 1.0 N))) (sqrt (log (+ 1.0 N))) (sqrt (log (+ 1.0 N))) (fma -1/2 (* (/ N 1.0) (/ N 1.0)) (- (fma 1.0 N (log 1.0)) (log N))) (fma 1.0 (/ 1 N) (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5))) (fma 1.0 (/ 1 N) (* (/ (/ 1 N) N) (- (/ 0.3333333333333333 N) 0.5))) (fma 1.0 N (fma (* (/ N 1.0) (/ N 1.0)) -1/2 (log 1.0))) (+ (/ 1.0 N) (- (log N) (/ (/ 0.5 N) N))) (- (+ (+ (/ 1.0 N) 0) (log N)) (/ (/ 0.5 N) N)) 3.214 * * * [progress]: adding candidates to table 3.499 * * [progress]: iteration 2 / 4 3.499 * * * [progress]: picking best candidate 3.517 * * * * [pick]: Picked # 3.517 * * * [progress]: localizing error 3.532 * * * [progress]: generating rewritten candidates 3.532 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 3.541 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 3.572 * * * [progress]: generating series expansions 3.573 * * * * [progress]: [ 1 / 2 ] generating series at (2) 3.573 * [backup-simplify]: Simplify (log (/ (+ 1.0 N) N)) into (log (/ (+ N 1.0) N)) 3.573 * [approximate]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in (N) around 0 3.573 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 3.573 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 3.573 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.573 * [taylor]: Taking taylor expansion of N in N 3.573 * [backup-simplify]: Simplify 0 into 0 3.573 * [backup-simplify]: Simplify 1 into 1 3.573 * [taylor]: Taking taylor expansion of 1.0 in N 3.573 * [backup-simplify]: Simplify 1.0 into 1.0 3.573 * [taylor]: Taking taylor expansion of N in N 3.573 * [backup-simplify]: Simplify 0 into 0 3.573 * [backup-simplify]: Simplify 1 into 1 3.574 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.574 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.574 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 3.574 * [taylor]: Taking taylor expansion of (log (/ (+ N 1.0) N)) in N 3.574 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 3.574 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.574 * [taylor]: Taking taylor expansion of N in N 3.574 * [backup-simplify]: Simplify 0 into 0 3.574 * [backup-simplify]: Simplify 1 into 1 3.574 * [taylor]: Taking taylor expansion of 1.0 in N 3.574 * [backup-simplify]: Simplify 1.0 into 1.0 3.574 * [taylor]: Taking taylor expansion of N in N 3.574 * [backup-simplify]: Simplify 0 into 0 3.574 * [backup-simplify]: Simplify 1 into 1 3.575 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.575 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.575 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 3.576 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 3.576 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 3.576 * [backup-simplify]: Simplify (+ 1 0) into 1 3.577 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 3.580 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 3.580 * [backup-simplify]: Simplify 1.0 into 1.0 3.580 * [backup-simplify]: Simplify (+ 0 0) into 0 3.581 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 3.586 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 3.587 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 3.588 * [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))) 3.588 * [backup-simplify]: Simplify (log (/ (+ 1.0 (/ 1 N)) (/ 1 N))) into (log (* N (+ (/ 1 N) 1.0))) 3.588 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in (N) around 0 3.588 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 3.588 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 3.588 * [taylor]: Taking taylor expansion of N in N 3.588 * [backup-simplify]: Simplify 0 into 0 3.588 * [backup-simplify]: Simplify 1 into 1 3.588 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.588 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.588 * [taylor]: Taking taylor expansion of N in N 3.588 * [backup-simplify]: Simplify 0 into 0 3.588 * [backup-simplify]: Simplify 1 into 1 3.588 * [backup-simplify]: Simplify (/ 1 1) into 1 3.588 * [taylor]: Taking taylor expansion of 1.0 in N 3.589 * [backup-simplify]: Simplify 1.0 into 1.0 3.589 * [backup-simplify]: Simplify (+ 1 0) into 1 3.589 * [backup-simplify]: Simplify (* 0 1) into 0 3.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.590 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.590 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 3.591 * [backup-simplify]: Simplify (log 1) into 0 3.591 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1.0))) in N 3.591 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 3.591 * [taylor]: Taking taylor expansion of N in N 3.591 * [backup-simplify]: Simplify 0 into 0 3.591 * [backup-simplify]: Simplify 1 into 1 3.591 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.591 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.591 * [taylor]: Taking taylor expansion of N in N 3.591 * [backup-simplify]: Simplify 0 into 0 3.591 * [backup-simplify]: Simplify 1 into 1 3.591 * [backup-simplify]: Simplify (/ 1 1) into 1 3.591 * [taylor]: Taking taylor expansion of 1.0 in N 3.591 * [backup-simplify]: Simplify 1.0 into 1.0 3.591 * [backup-simplify]: Simplify (+ 1 0) into 1 3.592 * [backup-simplify]: Simplify (* 0 1) into 0 3.592 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.592 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.593 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 3.593 * [backup-simplify]: Simplify (log 1) into 0 3.593 * [backup-simplify]: Simplify 0 into 0 3.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.594 * [backup-simplify]: Simplify (+ 0 0) into 0 3.595 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 3.599 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 3.599 * [backup-simplify]: Simplify 1.0 into 1.0 3.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.600 * [backup-simplify]: Simplify (+ 0 0) into 0 3.601 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 3.607 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 3.608 * [backup-simplify]: Simplify -0.5 into -0.5 3.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.609 * [backup-simplify]: Simplify (+ 0 0) into 0 3.610 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 3.631 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0.3333333333333333 3.632 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.632 * [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)))) 3.632 * [backup-simplify]: Simplify (log (/ (+ 1.0 (/ 1 (- N))) (/ 1 (- N)))) into (log (* -1 (* N (- 1.0 (/ 1 N))))) 3.632 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in (N) around 0 3.632 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 3.632 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 3.632 * [taylor]: Taking taylor expansion of -1 in N 3.632 * [backup-simplify]: Simplify -1 into -1 3.632 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 3.632 * [taylor]: Taking taylor expansion of N in N 3.633 * [backup-simplify]: Simplify 0 into 0 3.633 * [backup-simplify]: Simplify 1 into 1 3.633 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.633 * [taylor]: Taking taylor expansion of 1.0 in N 3.633 * [backup-simplify]: Simplify 1.0 into 1.0 3.633 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.633 * [taylor]: Taking taylor expansion of N in N 3.633 * [backup-simplify]: Simplify 0 into 0 3.633 * [backup-simplify]: Simplify 1 into 1 3.633 * [backup-simplify]: Simplify (/ 1 1) into 1 3.634 * [backup-simplify]: Simplify (- 1) into -1 3.634 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.634 * [backup-simplify]: Simplify (* 0 -1) into 0 3.635 * [backup-simplify]: Simplify (* -1 0) into 0 3.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.636 * [backup-simplify]: Simplify (- 0) into 0 3.636 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.637 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 3.638 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.638 * [backup-simplify]: Simplify (log 1) into 0 3.638 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1.0 (/ 1 N))))) in N 3.638 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 3.638 * [taylor]: Taking taylor expansion of -1 in N 3.638 * [backup-simplify]: Simplify -1 into -1 3.638 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 3.638 * [taylor]: Taking taylor expansion of N in N 3.638 * [backup-simplify]: Simplify 0 into 0 3.638 * [backup-simplify]: Simplify 1 into 1 3.638 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.638 * [taylor]: Taking taylor expansion of 1.0 in N 3.638 * [backup-simplify]: Simplify 1.0 into 1.0 3.638 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.638 * [taylor]: Taking taylor expansion of N in N 3.638 * [backup-simplify]: Simplify 0 into 0 3.639 * [backup-simplify]: Simplify 1 into 1 3.639 * [backup-simplify]: Simplify (/ 1 1) into 1 3.639 * [backup-simplify]: Simplify (- 1) into -1 3.640 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.640 * [backup-simplify]: Simplify (* 0 -1) into 0 3.641 * [backup-simplify]: Simplify (* -1 0) into 0 3.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.642 * [backup-simplify]: Simplify (- 0) into 0 3.642 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.643 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 3.643 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.644 * [backup-simplify]: Simplify (log 1) into 0 3.644 * [backup-simplify]: Simplify 0 into 0 3.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.645 * [backup-simplify]: Simplify (- 0) into 0 3.646 * [backup-simplify]: Simplify (+ 0 0) into 0 3.648 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 3.651 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 3.658 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 1.0)) 1)) (pow 1 1)))) 1) into -1.0 3.658 * [backup-simplify]: Simplify -1.0 into -1.0 3.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.659 * [backup-simplify]: Simplify (- 0) into 0 3.660 * [backup-simplify]: Simplify (+ 0 0) into 0 3.661 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 3.662 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 3.674 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 1.0)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 3.675 * [backup-simplify]: Simplify -0.5 into -0.5 3.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.676 * [backup-simplify]: Simplify (- 0) into 0 3.676 * [backup-simplify]: Simplify (+ 0 0) into 0 3.678 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 3.678 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 3.689 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- 1.0)) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (- 1.0)) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into -0.3333333333333333 3.689 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 3.689 * [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)))) 3.689 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 3.689 * [backup-simplify]: Simplify (/ (+ 1.0 N) N) into (/ (+ N 1.0) N) 3.689 * [approximate]: Taking taylor expansion of (/ (+ N 1.0) N) in (N) around 0 3.689 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 3.690 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.690 * [taylor]: Taking taylor expansion of N in N 3.690 * [backup-simplify]: Simplify 0 into 0 3.690 * [backup-simplify]: Simplify 1 into 1 3.690 * [taylor]: Taking taylor expansion of 1.0 in N 3.690 * [backup-simplify]: Simplify 1.0 into 1.0 3.690 * [taylor]: Taking taylor expansion of N in N 3.690 * [backup-simplify]: Simplify 0 into 0 3.690 * [backup-simplify]: Simplify 1 into 1 3.690 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.690 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.690 * [taylor]: Taking taylor expansion of (/ (+ N 1.0) N) in N 3.690 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 3.690 * [taylor]: Taking taylor expansion of N in N 3.690 * [backup-simplify]: Simplify 0 into 0 3.690 * [backup-simplify]: Simplify 1 into 1 3.690 * [taylor]: Taking taylor expansion of 1.0 in N 3.690 * [backup-simplify]: Simplify 1.0 into 1.0 3.690 * [taylor]: Taking taylor expansion of N in N 3.690 * [backup-simplify]: Simplify 0 into 0 3.690 * [backup-simplify]: Simplify 1 into 1 3.691 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.691 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.691 * [backup-simplify]: Simplify 1.0 into 1.0 3.691 * [backup-simplify]: Simplify (+ 1 0) into 1 3.692 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)))) into 1 3.692 * [backup-simplify]: Simplify 1 into 1 3.692 * [backup-simplify]: Simplify (+ 0 0) into 0 3.693 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 3.693 * [backup-simplify]: Simplify 0 into 0 3.693 * [backup-simplify]: Simplify (+ 0 0) into 0 3.694 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.694 * [backup-simplify]: Simplify 0 into 0 3.694 * [backup-simplify]: Simplify (+ 0 0) into 0 3.695 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.695 * [backup-simplify]: Simplify 0 into 0 3.695 * [backup-simplify]: Simplify (+ 0 0) into 0 3.696 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.696 * [backup-simplify]: Simplify 0 into 0 3.696 * [backup-simplify]: Simplify (+ 0 0) into 0 3.697 * [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 3.697 * [backup-simplify]: Simplify 0 into 0 3.697 * [backup-simplify]: Simplify (+ 0 0) into 0 3.697 * [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 3.698 * [backup-simplify]: Simplify 0 into 0 3.698 * [backup-simplify]: Simplify (+ 1 (* 1.0 (/ 1 N))) into (+ (* 1.0 (/ 1 N)) 1) 3.698 * [backup-simplify]: Simplify (/ (+ 1.0 (/ 1 N)) (/ 1 N)) into (* N (+ (/ 1 N) 1.0)) 3.698 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in (N) around 0 3.698 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 3.698 * [taylor]: Taking taylor expansion of N in N 3.698 * [backup-simplify]: Simplify 0 into 0 3.698 * [backup-simplify]: Simplify 1 into 1 3.698 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.698 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.698 * [taylor]: Taking taylor expansion of N in N 3.698 * [backup-simplify]: Simplify 0 into 0 3.698 * [backup-simplify]: Simplify 1 into 1 3.698 * [backup-simplify]: Simplify (/ 1 1) into 1 3.698 * [taylor]: Taking taylor expansion of 1.0 in N 3.698 * [backup-simplify]: Simplify 1.0 into 1.0 3.698 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1.0)) in N 3.698 * [taylor]: Taking taylor expansion of N in N 3.698 * [backup-simplify]: Simplify 0 into 0 3.698 * [backup-simplify]: Simplify 1 into 1 3.698 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 3.698 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.698 * [taylor]: Taking taylor expansion of N in N 3.698 * [backup-simplify]: Simplify 0 into 0 3.698 * [backup-simplify]: Simplify 1 into 1 3.699 * [backup-simplify]: Simplify (/ 1 1) into 1 3.699 * [taylor]: Taking taylor expansion of 1.0 in N 3.699 * [backup-simplify]: Simplify 1.0 into 1.0 3.699 * [backup-simplify]: Simplify (+ 1 0) into 1 3.699 * [backup-simplify]: Simplify (* 0 1) into 0 3.699 * [backup-simplify]: Simplify 0 into 0 3.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.700 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 3.700 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 1)) into 1 3.700 * [backup-simplify]: Simplify 1 into 1 3.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.701 * [backup-simplify]: Simplify (+ 0 0) into 0 3.703 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 1))) into 1.0 3.703 * [backup-simplify]: Simplify 1.0 into 1.0 3.703 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.704 * [backup-simplify]: Simplify (+ 0 0) into 0 3.704 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 1)))) into 0 3.704 * [backup-simplify]: Simplify 0 into 0 3.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.705 * [backup-simplify]: Simplify (+ 0 0) into 0 3.706 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))) into 0 3.706 * [backup-simplify]: Simplify 0 into 0 3.707 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.707 * [backup-simplify]: Simplify (+ 0 0) into 0 3.708 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))) into 0 3.708 * [backup-simplify]: Simplify 0 into 0 3.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.708 * [backup-simplify]: Simplify (+ 0 0) into 0 3.710 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))) into 0 3.710 * [backup-simplify]: Simplify 0 into 0 3.711 * [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 3.711 * [backup-simplify]: Simplify (+ 0 0) into 0 3.713 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1)))))))) into 0 3.713 * [backup-simplify]: Simplify 0 into 0 3.714 * [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 3.714 * [backup-simplify]: Simplify (+ 0 0) into 0 3.716 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 1))))))))) into 0 3.716 * [backup-simplify]: Simplify 0 into 0 3.717 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) 1) into (+ (* 1.0 (/ 1 N)) 1) 3.717 * [backup-simplify]: Simplify (/ (+ 1.0 (/ 1 (- N))) (/ 1 (- N))) into (* -1 (* N (- 1.0 (/ 1 N)))) 3.717 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in (N) around 0 3.717 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 3.717 * [taylor]: Taking taylor expansion of -1 in N 3.717 * [backup-simplify]: Simplify -1 into -1 3.717 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 3.717 * [taylor]: Taking taylor expansion of N in N 3.717 * [backup-simplify]: Simplify 0 into 0 3.717 * [backup-simplify]: Simplify 1 into 1 3.717 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.717 * [taylor]: Taking taylor expansion of 1.0 in N 3.717 * [backup-simplify]: Simplify 1.0 into 1.0 3.717 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.717 * [taylor]: Taking taylor expansion of N in N 3.717 * [backup-simplify]: Simplify 0 into 0 3.717 * [backup-simplify]: Simplify 1 into 1 3.718 * [backup-simplify]: Simplify (/ 1 1) into 1 3.718 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1.0 (/ 1 N)))) in N 3.718 * [taylor]: Taking taylor expansion of -1 in N 3.718 * [backup-simplify]: Simplify -1 into -1 3.718 * [taylor]: Taking taylor expansion of (* N (- 1.0 (/ 1 N))) in N 3.718 * [taylor]: Taking taylor expansion of N in N 3.718 * [backup-simplify]: Simplify 0 into 0 3.718 * [backup-simplify]: Simplify 1 into 1 3.718 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 3.718 * [taylor]: Taking taylor expansion of 1.0 in N 3.718 * [backup-simplify]: Simplify 1.0 into 1.0 3.718 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.718 * [taylor]: Taking taylor expansion of N in N 3.718 * [backup-simplify]: Simplify 0 into 0 3.718 * [backup-simplify]: Simplify 1 into 1 3.718 * [backup-simplify]: Simplify (/ 1 1) into 1 3.719 * [backup-simplify]: Simplify (- 1) into -1 3.719 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.720 * [backup-simplify]: Simplify (* 0 -1) into 0 3.720 * [backup-simplify]: Simplify (* -1 0) into 0 3.720 * [backup-simplify]: Simplify 0 into 0 3.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.721 * [backup-simplify]: Simplify (- 0) into 0 3.722 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.722 * [backup-simplify]: Simplify (+ (* 0 1.0) (* 1 -1)) into -1 3.723 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.723 * [backup-simplify]: Simplify 1 into 1 3.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.724 * [backup-simplify]: Simplify (- 0) into 0 3.725 * [backup-simplify]: Simplify (+ 0 0) into 0 3.727 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (* 0 -1))) into 1.0 3.728 * [backup-simplify]: Simplify (+ (* -1 1.0) (+ (* 0 -1) (* 0 0))) into (- 1.0) 3.728 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 3.729 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.729 * [backup-simplify]: Simplify (- 0) into 0 3.729 * [backup-simplify]: Simplify (+ 0 0) into 0 3.730 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1.0) (* 0 -1)))) into 0 3.731 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))) into 0 3.731 * [backup-simplify]: Simplify 0 into 0 3.733 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.733 * [backup-simplify]: Simplify (- 0) into 0 3.733 * [backup-simplify]: Simplify (+ 0 0) into 0 3.734 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))) into 0 3.735 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))) into 0 3.735 * [backup-simplify]: Simplify 0 into 0 3.736 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.736 * [backup-simplify]: Simplify (- 0) into 0 3.736 * [backup-simplify]: Simplify (+ 0 0) into 0 3.737 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))) into 0 3.738 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))) into 0 3.738 * [backup-simplify]: Simplify 0 into 0 3.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.739 * [backup-simplify]: Simplify (- 0) into 0 3.739 * [backup-simplify]: Simplify (+ 0 0) into 0 3.740 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))) into 0 3.741 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))) into 0 3.741 * [backup-simplify]: Simplify 0 into 0 3.741 * [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 3.742 * [backup-simplify]: Simplify (- 0) into 0 3.742 * [backup-simplify]: Simplify (+ 0 0) into 0 3.743 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1)))))))) into 0 3.744 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0)))))))) into 0 3.744 * [backup-simplify]: Simplify 0 into 0 3.745 * [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 3.745 * [backup-simplify]: Simplify (- 0) into 0 3.745 * [backup-simplify]: Simplify (+ 0 0) into 0 3.746 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 -1))))))))) into 0 3.748 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (+ (* 0 -1) (* 0 0))))))))) into 0 3.748 * [backup-simplify]: Simplify 0 into 0 3.748 * [backup-simplify]: Simplify (+ (* (- 1.0) (/ 1 (- N))) 1) into (+ (* 1.0 (/ 1 N)) 1) 3.748 * * * [progress]: simplifying candidates 3.749 * [simplify]: Simplifying: (expm1 (log (/ (+ 1.0 N) N))) (log1p (log (/ (+ 1.0 N) N))) (log (* (cbrt (/ (+ 1.0 N) N)) (cbrt (/ (+ 1.0 N) N)))) (log (cbrt (/ (+ 1.0 N) N))) (log (sqrt (/ (+ 1.0 N) N))) (log (sqrt (/ (+ 1.0 N) N))) (log (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ 1.0 N)) (cbrt N))) (log (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (sqrt N))) (log (/ (cbrt (+ 1.0 N)) (sqrt N))) (log (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) 1)) (log (/ (cbrt (+ 1.0 N)) N)) (log (/ (sqrt (+ 1.0 N)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ 1.0 N)) (cbrt N))) (log (/ (sqrt (+ 1.0 N)) (sqrt N))) (log (/ (sqrt (+ 1.0 N)) (sqrt N))) (log (/ (sqrt (+ 1.0 N)) 1)) (log (/ (sqrt (+ 1.0 N)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ 1.0 N) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ 1.0 N) (sqrt N))) (log (/ 1 1)) (log (/ (+ 1.0 N) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ 1.0 N) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ 1.0 N) (sqrt N))) (log (/ 1 1)) (log (/ (+ 1.0 N) N)) (log 1) (log (/ (+ 1.0 N) N)) (log (+ 1.0 N)) (log (/ 1 N)) (log (+ 1.0 N)) (log N) (log (/ (+ 1.0 N) N)) (log (log (/ (+ 1.0 N) N))) (exp (log (/ (+ 1.0 N) N))) (* (cbrt (log (/ (+ 1.0 N) N))) (cbrt (log (/ (+ 1.0 N) N)))) (cbrt (log (/ (+ 1.0 N) N))) (* (* (log (/ (+ 1.0 N) N)) (log (/ (+ 1.0 N) N))) (log (/ (+ 1.0 N) N))) (sqrt (log (/ (+ 1.0 N) N))) (sqrt (log (/ (+ 1.0 N) N))) (expm1 (/ (+ 1.0 N) N)) (log1p (/ (+ 1.0 N) N)) (- (log (+ 1.0 N)) (log N)) (log (/ (+ 1.0 N) N)) (exp (/ (+ 1.0 N) N)) (/ (* (* (+ 1.0 N) (+ 1.0 N)) (+ 1.0 N)) (* (* N N) N)) (* (cbrt (/ (+ 1.0 N) N)) (cbrt (/ (+ 1.0 N) N))) (cbrt (/ (+ 1.0 N) N)) (* (* (/ (+ 1.0 N) N) (/ (+ 1.0 N) N)) (/ (+ 1.0 N) N)) (sqrt (/ (+ 1.0 N) N)) (sqrt (/ (+ 1.0 N) N)) (- (+ 1.0 N)) (- N) (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ 1.0 N)) (cbrt N)) (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (sqrt N)) (/ (cbrt (+ 1.0 N)) (sqrt N)) (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) 1) (/ (cbrt (+ 1.0 N)) N) (/ (sqrt (+ 1.0 N)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ 1.0 N)) (cbrt N)) (/ (sqrt (+ 1.0 N)) (sqrt N)) (/ (sqrt (+ 1.0 N)) (sqrt N)) (/ (sqrt (+ 1.0 N)) 1) (/ (sqrt (+ 1.0 N)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ 1.0 N) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1.0 N) (sqrt N)) (/ 1 1) (/ (+ 1.0 N) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ 1.0 N) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1.0 N) (sqrt N)) (/ 1 1) (/ (+ 1.0 N) N) (/ 1 N) (/ N (+ 1.0 N)) (/ (+ 1.0 N) (* (cbrt N) (cbrt N))) (/ (+ 1.0 N) (sqrt N)) (/ (+ 1.0 N) 1) (/ N (cbrt (+ 1.0 N))) (/ N (sqrt (+ 1.0 N))) (/ N (+ 1.0 N)) (/ N (+ 1.0 N)) (* N (+ (* 1.0 1.0) (- (* N N) (* 1.0 N)))) (* N (- 1.0 N)) (- (+ (log 1.0) (* 1.0 N)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) (+ (* 1.0 (/ 1 N)) 1) 3.750 * * [simplify]: iteration 0: 111 enodes 3.789 * * [simplify]: iteration 1: 249 enodes 3.924 * * [simplify]: iteration 2: 632 enodes 4.378 * * [simplify]: iteration 3: 2267 enodes 5.371 * * [simplify]: iteration complete: 5000 enodes 5.371 * * [simplify]: Extracting #0: cost 67 inf + 0 5.374 * * [simplify]: Extracting #1: cost 663 inf + 2 5.384 * * [simplify]: Extracting #2: cost 1446 inf + 4648 5.403 * * [simplify]: Extracting #3: cost 967 inf + 82177 5.448 * * [simplify]: Extracting #4: cost 242 inf + 213778 5.522 * * [simplify]: Extracting #5: cost 12 inf + 274632 5.604 * * [simplify]: Extracting #6: cost 0 inf + 278479 5.678 * [simplify]: Simplified to: (expm1 (log (/ (+ N 1.0) N))) (log1p (log (/ (+ N 1.0) N))) (log (* (cbrt (/ (+ N 1.0) N)) (cbrt (/ (+ N 1.0) N)))) (log (cbrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (sqrt (/ (+ N 1.0) N))) (log (* (/ (cbrt (+ N 1.0)) (cbrt N)) (/ (cbrt (+ N 1.0)) (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))) (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))) (- (log (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))) (- (log (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))) (expm1 (/ (+ N 1.0) N)) (log1p (/ (+ 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)) (/ (cbrt (+ N 1.0)) (sqrt N))) (/ (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)) (* (fma 1.0 1.0 (* (- N 1.0) N)) N) (* N (- 1.0 N)) (fma 1.0 N (- (log 1.0) (fma (/ N 1.0) (* (/ N 1.0) 1/2) (log N)))) (- (+ (/ 1.0 N) (/ (/ 0.3333333333333333 N) (* N N))) (/ 0.5 (* N N))) (- (+ (/ 1.0 N) (/ (/ 0.3333333333333333 N) (* N N))) (/ 0.5 (* N N))) (+ 1 (/ 1.0 N)) (+ 1 (/ 1.0 N)) (+ 1 (/ 1.0 N)) 5.682 * * * [progress]: adding candidates to table 6.011 * * [progress]: iteration 3 / 4 6.011 * * * [progress]: picking best candidate 6.025 * * * * [pick]: Picked # 6.025 * * * [progress]: localizing error 6.050 * * * [progress]: generating rewritten candidates 6.050 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 6.087 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1) 6.113 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 6.120 * * * [progress]: generating series expansions 6.120 * * * * [progress]: [ 1 / 3 ] generating series at (2) 6.121 * [backup-simplify]: Simplify (+ (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N)))) into (- (log (* (sqrt (/ 1 N)) (+ N 1.0))) (log (sqrt N))) 6.121 * [approximate]: Taking taylor expansion of (- (log (* (sqrt (/ 1 N)) (+ N 1.0))) (log (sqrt N))) in (N) around 0 6.121 * [taylor]: Taking taylor expansion of (- (log (* (sqrt (/ 1 N)) (+ N 1.0))) (log (sqrt N))) in N 6.121 * [taylor]: Taking taylor expansion of (log (* (sqrt (/ 1 N)) (+ N 1.0))) in N 6.121 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 N)) (+ N 1.0)) in N 6.121 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 6.121 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.121 * [taylor]: Taking taylor expansion of N in N 6.121 * [backup-simplify]: Simplify 0 into 0 6.121 * [backup-simplify]: Simplify 1 into 1 6.121 * [backup-simplify]: Simplify (/ 1 1) into 1 6.122 * [backup-simplify]: Simplify (sqrt 0) into 0 6.123 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.123 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.123 * [taylor]: Taking taylor expansion of N in N 6.123 * [backup-simplify]: Simplify 0 into 0 6.123 * [backup-simplify]: Simplify 1 into 1 6.123 * [taylor]: Taking taylor expansion of 1.0 in N 6.123 * [backup-simplify]: Simplify 1.0 into 1.0 6.124 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.124 * [backup-simplify]: Simplify (* 0 1.0) into 0 6.124 * [backup-simplify]: Simplify (+ 1 0) into 1 6.125 * [backup-simplify]: Simplify (+ (* 0 1) (* +nan.0 1.0)) into (- +nan.0) 6.126 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 6.126 * [taylor]: Taking taylor expansion of (log (sqrt N)) in N 6.126 * [taylor]: Taking taylor expansion of (sqrt N) in N 6.126 * [taylor]: Taking taylor expansion of N in N 6.126 * [backup-simplify]: Simplify 0 into 0 6.126 * [backup-simplify]: Simplify 1 into 1 6.127 * [backup-simplify]: Simplify (sqrt 0) into 0 6.128 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.128 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 6.128 * [taylor]: Taking taylor expansion of (- (log (* (sqrt (/ 1 N)) (+ N 1.0))) (log (sqrt N))) in N 6.128 * [taylor]: Taking taylor expansion of (log (* (sqrt (/ 1 N)) (+ N 1.0))) in N 6.128 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 N)) (+ N 1.0)) in N 6.128 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 6.128 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.128 * [taylor]: Taking taylor expansion of N in N 6.128 * [backup-simplify]: Simplify 0 into 0 6.128 * [backup-simplify]: Simplify 1 into 1 6.129 * [backup-simplify]: Simplify (/ 1 1) into 1 6.129 * [backup-simplify]: Simplify (sqrt 0) into 0 6.130 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.130 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.130 * [taylor]: Taking taylor expansion of N in N 6.130 * [backup-simplify]: Simplify 0 into 0 6.130 * [backup-simplify]: Simplify 1 into 1 6.130 * [taylor]: Taking taylor expansion of 1.0 in N 6.130 * [backup-simplify]: Simplify 1.0 into 1.0 6.130 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.131 * [backup-simplify]: Simplify (* 0 1.0) into 0 6.131 * [backup-simplify]: Simplify (+ 1 0) into 1 6.132 * [backup-simplify]: Simplify (+ (* 0 1) (* +nan.0 1.0)) into (- +nan.0) 6.132 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 6.132 * [taylor]: Taking taylor expansion of (log (sqrt N)) in N 6.132 * [taylor]: Taking taylor expansion of (sqrt N) in N 6.132 * [taylor]: Taking taylor expansion of N in N 6.132 * [backup-simplify]: Simplify 0 into 0 6.132 * [backup-simplify]: Simplify 1 into 1 6.133 * [backup-simplify]: Simplify (sqrt 0) into 0 6.133 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.134 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 6.134 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log +nan.0)) into (+ (log N) (log +nan.0)) 6.134 * [backup-simplify]: Simplify (- (+ (log N) (log +nan.0))) into (- (+ (log N) (log +nan.0))) 6.135 * [backup-simplify]: Simplify (+ (log (- +nan.0)) (- (+ (log N) (log +nan.0)))) into (- (log (- +nan.0)) (+ (log N) (log +nan.0))) 6.136 * [backup-simplify]: Simplify (- (log (- +nan.0)) (+ (log N) (log +nan.0))) into (- (log (- +nan.0)) (+ (log N) (log +nan.0))) 6.136 * [backup-simplify]: Simplify (+ 0 0) into 0 6.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.139 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.140 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 1) (* +nan.0 1.0))) into (- +nan.0) 6.148 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 6.151 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.162 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 6.162 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.163 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 6.163 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.164 * [backup-simplify]: Simplify (+ 0 0) into 0 6.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.169 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.173 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 1) (* +nan.0 1.0)))) into (- +nan.0) 6.191 * [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 6.195 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.206 * [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 6.206 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.207 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 6.207 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.209 * [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))))) 6.209 * [backup-simplify]: Simplify (+ (- (log (sqrt (/ 1 N)))) (log (/ (+ 1.0 (/ 1 N)) (sqrt (/ 1 N))))) into (- (log (* (sqrt N) (+ (/ 1 N) 1.0))) (log (sqrt (/ 1 N)))) 6.209 * [approximate]: Taking taylor expansion of (- (log (* (sqrt N) (+ (/ 1 N) 1.0))) (log (sqrt (/ 1 N)))) in (N) around 0 6.209 * [taylor]: Taking taylor expansion of (- (log (* (sqrt N) (+ (/ 1 N) 1.0))) (log (sqrt (/ 1 N)))) in N 6.209 * [taylor]: Taking taylor expansion of (log (* (sqrt N) (+ (/ 1 N) 1.0))) in N 6.209 * [taylor]: Taking taylor expansion of (* (sqrt N) (+ (/ 1 N) 1.0)) in N 6.209 * [taylor]: Taking taylor expansion of (sqrt N) in N 6.209 * [taylor]: Taking taylor expansion of N in N 6.209 * [backup-simplify]: Simplify 0 into 0 6.209 * [backup-simplify]: Simplify 1 into 1 6.210 * [backup-simplify]: Simplify (sqrt 0) into 0 6.210 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.210 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.210 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.210 * [taylor]: Taking taylor expansion of N in N 6.211 * [backup-simplify]: Simplify 0 into 0 6.211 * [backup-simplify]: Simplify 1 into 1 6.211 * [backup-simplify]: Simplify (/ 1 1) into 1 6.211 * [taylor]: Taking taylor expansion of 1.0 in N 6.211 * [backup-simplify]: Simplify 1.0 into 1.0 6.211 * [backup-simplify]: Simplify (+ 1 0) into 1 6.211 * [backup-simplify]: Simplify (* 0 1) into 0 6.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.212 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.213 * [backup-simplify]: Simplify (+ (* 0 1.0) (* +nan.0 1)) into (- +nan.0) 6.214 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 6.214 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 N))) in N 6.214 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 6.214 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.214 * [taylor]: Taking taylor expansion of N in N 6.214 * [backup-simplify]: Simplify 0 into 0 6.214 * [backup-simplify]: Simplify 1 into 1 6.214 * [backup-simplify]: Simplify (/ 1 1) into 1 6.214 * [backup-simplify]: Simplify (sqrt 0) into 0 6.215 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.215 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 6.216 * [taylor]: Taking taylor expansion of (- (log (* (sqrt N) (+ (/ 1 N) 1.0))) (log (sqrt (/ 1 N)))) in N 6.216 * [taylor]: Taking taylor expansion of (log (* (sqrt N) (+ (/ 1 N) 1.0))) in N 6.216 * [taylor]: Taking taylor expansion of (* (sqrt N) (+ (/ 1 N) 1.0)) in N 6.216 * [taylor]: Taking taylor expansion of (sqrt N) in N 6.216 * [taylor]: Taking taylor expansion of N in N 6.216 * [backup-simplify]: Simplify 0 into 0 6.216 * [backup-simplify]: Simplify 1 into 1 6.216 * [backup-simplify]: Simplify (sqrt 0) into 0 6.217 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.217 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.217 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.217 * [taylor]: Taking taylor expansion of N in N 6.217 * [backup-simplify]: Simplify 0 into 0 6.217 * [backup-simplify]: Simplify 1 into 1 6.217 * [backup-simplify]: Simplify (/ 1 1) into 1 6.217 * [taylor]: Taking taylor expansion of 1.0 in N 6.217 * [backup-simplify]: Simplify 1.0 into 1.0 6.217 * [backup-simplify]: Simplify (+ 1 0) into 1 6.218 * [backup-simplify]: Simplify (* 0 1) into 0 6.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.218 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.219 * [backup-simplify]: Simplify (+ (* 0 1.0) (* +nan.0 1)) into (- +nan.0) 6.220 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 6.220 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 N))) in N 6.220 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 6.220 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.220 * [taylor]: Taking taylor expansion of N in N 6.220 * [backup-simplify]: Simplify 0 into 0 6.220 * [backup-simplify]: Simplify 1 into 1 6.220 * [backup-simplify]: Simplify (/ 1 1) into 1 6.220 * [backup-simplify]: Simplify (sqrt 0) into 0 6.221 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.221 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 6.222 * [backup-simplify]: Simplify (- (log +nan.0)) into (- (log +nan.0)) 6.223 * [backup-simplify]: Simplify (+ (log (- +nan.0)) (- (log +nan.0))) into (- (log (- +nan.0)) (log +nan.0)) 6.224 * [backup-simplify]: Simplify (- (log (- +nan.0)) (log +nan.0)) into (- (log (- +nan.0)) (log +nan.0)) 6.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.225 * [backup-simplify]: Simplify (+ 0 0) into 0 6.227 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.229 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 1.0) (* +nan.0 1))) into (- +nan.0) 6.233 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 6.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.236 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.239 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 6.239 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.240 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 6.240 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.241 * [backup-simplify]: Simplify (+ 0 0) into 0 6.245 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.250 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 1.0) (* +nan.0 1)))) into (- +nan.0) 6.267 * [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 6.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.272 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.289 * [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 6.289 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.290 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 6.290 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.293 * [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))))) 6.294 * [backup-simplify]: Simplify (+ (- (log (sqrt (/ 1 (- N))))) (log (/ (+ 1.0 (/ 1 (- N))) (sqrt (/ 1 (- N)))))) into (- (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))) (log (sqrt (/ -1 N)))) 6.294 * [approximate]: Taking taylor expansion of (- (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))) (log (sqrt (/ -1 N)))) in (N) around 0 6.294 * [taylor]: Taking taylor expansion of (- (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))) (log (sqrt (/ -1 N)))) in N 6.294 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))) in N 6.294 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) in N 6.294 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.294 * [taylor]: Taking taylor expansion of 1.0 in N 6.294 * [backup-simplify]: Simplify 1.0 into 1.0 6.294 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.294 * [taylor]: Taking taylor expansion of N in N 6.294 * [backup-simplify]: Simplify 0 into 0 6.294 * [backup-simplify]: Simplify 1 into 1 6.294 * [backup-simplify]: Simplify (/ 1 1) into 1 6.294 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 6.295 * [taylor]: Taking taylor expansion of (/ -1 N) in N 6.295 * [taylor]: Taking taylor expansion of -1 in N 6.295 * [backup-simplify]: Simplify -1 into -1 6.295 * [taylor]: Taking taylor expansion of N in N 6.295 * [backup-simplify]: Simplify 0 into 0 6.295 * [backup-simplify]: Simplify 1 into 1 6.295 * [backup-simplify]: Simplify (/ -1 1) into -1 6.295 * [backup-simplify]: Simplify (sqrt 0) into 0 6.297 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.297 * [backup-simplify]: Simplify (- 1) into -1 6.298 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.298 * [backup-simplify]: Simplify (/ -1 +nan.0) into +nan.0 6.299 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 6.299 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 N))) in N 6.299 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 6.299 * [taylor]: Taking taylor expansion of (/ -1 N) in N 6.299 * [taylor]: Taking taylor expansion of -1 in N 6.299 * [backup-simplify]: Simplify -1 into -1 6.299 * [taylor]: Taking taylor expansion of N in N 6.299 * [backup-simplify]: Simplify 0 into 0 6.299 * [backup-simplify]: Simplify 1 into 1 6.299 * [backup-simplify]: Simplify (/ -1 1) into -1 6.300 * [backup-simplify]: Simplify (sqrt 0) into 0 6.301 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.301 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 6.301 * [taylor]: Taking taylor expansion of (- (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))) (log (sqrt (/ -1 N)))) in N 6.301 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))) in N 6.302 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) in N 6.302 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.302 * [taylor]: Taking taylor expansion of 1.0 in N 6.302 * [backup-simplify]: Simplify 1.0 into 1.0 6.302 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.302 * [taylor]: Taking taylor expansion of N in N 6.302 * [backup-simplify]: Simplify 0 into 0 6.302 * [backup-simplify]: Simplify 1 into 1 6.302 * [backup-simplify]: Simplify (/ 1 1) into 1 6.302 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 6.302 * [taylor]: Taking taylor expansion of (/ -1 N) in N 6.302 * [taylor]: Taking taylor expansion of -1 in N 6.302 * [backup-simplify]: Simplify -1 into -1 6.302 * [taylor]: Taking taylor expansion of N in N 6.302 * [backup-simplify]: Simplify 0 into 0 6.302 * [backup-simplify]: Simplify 1 into 1 6.303 * [backup-simplify]: Simplify (/ -1 1) into -1 6.303 * [backup-simplify]: Simplify (sqrt 0) into 0 6.304 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.305 * [backup-simplify]: Simplify (- 1) into -1 6.305 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.306 * [backup-simplify]: Simplify (/ -1 +nan.0) into +nan.0 6.306 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 6.306 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 N))) in N 6.306 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 6.306 * [taylor]: Taking taylor expansion of (/ -1 N) in N 6.306 * [taylor]: Taking taylor expansion of -1 in N 6.306 * [backup-simplify]: Simplify -1 into -1 6.306 * [taylor]: Taking taylor expansion of N in N 6.306 * [backup-simplify]: Simplify 0 into 0 6.306 * [backup-simplify]: Simplify 1 into 1 6.307 * [backup-simplify]: Simplify (/ -1 1) into -1 6.307 * [backup-simplify]: Simplify (sqrt 0) into 0 6.309 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.309 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 6.310 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log +nan.0)) into (- (log +nan.0) (log N)) 6.311 * [backup-simplify]: Simplify (- (log +nan.0)) into (- (log +nan.0)) 6.312 * [backup-simplify]: Simplify (+ (- (log +nan.0) (log N)) (- (log +nan.0))) into (- (log N)) 6.312 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 6.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.314 * [backup-simplify]: Simplify (- 0) into 0 6.314 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.315 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.318 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.319 * [backup-simplify]: Simplify (- (/ 1.0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 6.324 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow +nan.0 1)))) 1) into +nan.0 6.325 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.326 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.330 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 6.330 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.331 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 6.331 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.332 * [backup-simplify]: Simplify (- 0) into 0 6.332 * [backup-simplify]: Simplify (+ 0 0) into 0 6.333 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.335 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.338 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 6.347 * [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 6.347 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.350 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.361 * [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 6.361 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.362 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 6.362 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.364 * [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))))) 6.364 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1) 6.364 * [backup-simplify]: Simplify (/ (+ 1.0 N) (sqrt N)) into (* (sqrt (/ 1 N)) (+ N 1.0)) 6.364 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 N)) (+ N 1.0)) in (N) around 0 6.364 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 N)) (+ N 1.0)) in N 6.364 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 6.364 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.364 * [taylor]: Taking taylor expansion of N in N 6.364 * [backup-simplify]: Simplify 0 into 0 6.364 * [backup-simplify]: Simplify 1 into 1 6.365 * [backup-simplify]: Simplify (/ 1 1) into 1 6.365 * [backup-simplify]: Simplify (sqrt 0) into 0 6.366 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.366 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.366 * [taylor]: Taking taylor expansion of N in N 6.366 * [backup-simplify]: Simplify 0 into 0 6.366 * [backup-simplify]: Simplify 1 into 1 6.366 * [taylor]: Taking taylor expansion of 1.0 in N 6.366 * [backup-simplify]: Simplify 1.0 into 1.0 6.366 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 N)) (+ N 1.0)) in N 6.367 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 6.367 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.367 * [taylor]: Taking taylor expansion of N in N 6.367 * [backup-simplify]: Simplify 0 into 0 6.367 * [backup-simplify]: Simplify 1 into 1 6.367 * [backup-simplify]: Simplify (/ 1 1) into 1 6.367 * [backup-simplify]: Simplify (sqrt 0) into 0 6.369 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.369 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 6.369 * [taylor]: Taking taylor expansion of N in N 6.369 * [backup-simplify]: Simplify 0 into 0 6.369 * [backup-simplify]: Simplify 1 into 1 6.369 * [taylor]: Taking taylor expansion of 1.0 in N 6.369 * [backup-simplify]: Simplify 1.0 into 1.0 6.370 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.370 * [backup-simplify]: Simplify (* 0 1.0) into 0 6.370 * [backup-simplify]: Simplify 0 into 0 6.371 * [backup-simplify]: Simplify (+ 1 0) into 1 6.372 * [backup-simplify]: Simplify (+ (* 0 1) (* +nan.0 1.0)) into (- +nan.0) 6.373 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.373 * [backup-simplify]: Simplify (+ 0 0) into 0 6.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.377 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.380 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 1) (* +nan.0 1.0))) into (- +nan.0) 6.380 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.380 * [backup-simplify]: Simplify (+ 0 0) into 0 6.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.384 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.386 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 1) (* +nan.0 1.0)))) into (- +nan.0) 6.388 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.390 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow N 2)) (+ (* (- +nan.0) N) (- +nan.0))) into (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) 6.390 * [backup-simplify]: Simplify (/ (+ 1.0 (/ 1 N)) (sqrt (/ 1 N))) into (* (sqrt N) (+ (/ 1 N) 1.0)) 6.390 * [approximate]: Taking taylor expansion of (* (sqrt N) (+ (/ 1 N) 1.0)) in (N) around 0 6.390 * [taylor]: Taking taylor expansion of (* (sqrt N) (+ (/ 1 N) 1.0)) in N 6.390 * [taylor]: Taking taylor expansion of (sqrt N) in N 6.390 * [taylor]: Taking taylor expansion of N in N 6.390 * [backup-simplify]: Simplify 0 into 0 6.390 * [backup-simplify]: Simplify 1 into 1 6.390 * [backup-simplify]: Simplify (sqrt 0) into 0 6.391 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.391 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.391 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.391 * [taylor]: Taking taylor expansion of N in N 6.391 * [backup-simplify]: Simplify 0 into 0 6.391 * [backup-simplify]: Simplify 1 into 1 6.392 * [backup-simplify]: Simplify (/ 1 1) into 1 6.392 * [taylor]: Taking taylor expansion of 1.0 in N 6.392 * [backup-simplify]: Simplify 1.0 into 1.0 6.392 * [taylor]: Taking taylor expansion of (* (sqrt N) (+ (/ 1 N) 1.0)) in N 6.392 * [taylor]: Taking taylor expansion of (sqrt N) in N 6.392 * [taylor]: Taking taylor expansion of N in N 6.392 * [backup-simplify]: Simplify 0 into 0 6.392 * [backup-simplify]: Simplify 1 into 1 6.392 * [backup-simplify]: Simplify (sqrt 0) into 0 6.393 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.393 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 6.393 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.393 * [taylor]: Taking taylor expansion of N in N 6.393 * [backup-simplify]: Simplify 0 into 0 6.393 * [backup-simplify]: Simplify 1 into 1 6.393 * [backup-simplify]: Simplify (/ 1 1) into 1 6.393 * [taylor]: Taking taylor expansion of 1.0 in N 6.393 * [backup-simplify]: Simplify 1.0 into 1.0 6.394 * [backup-simplify]: Simplify (+ 1 0) into 1 6.394 * [backup-simplify]: Simplify (* 0 1) into 0 6.394 * [backup-simplify]: Simplify 0 into 0 6.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.395 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.396 * [backup-simplify]: Simplify (+ (* 0 1.0) (* +nan.0 1)) into (- +nan.0) 6.396 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.397 * [backup-simplify]: Simplify (+ 0 0) into 0 6.398 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.400 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 1.0) (* +nan.0 1))) into (- +nan.0) 6.400 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.401 * [backup-simplify]: Simplify (+ 0 0) into 0 6.403 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.406 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 1.0) (* +nan.0 1)))) into (- +nan.0) 6.406 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.407 * [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))))) 6.407 * [backup-simplify]: Simplify (/ (+ 1.0 (/ 1 (- N))) (sqrt (/ 1 (- N)))) into (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) 6.408 * [approximate]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) in (N) around 0 6.408 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) in N 6.408 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.408 * [taylor]: Taking taylor expansion of 1.0 in N 6.408 * [backup-simplify]: Simplify 1.0 into 1.0 6.408 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.408 * [taylor]: Taking taylor expansion of N in N 6.408 * [backup-simplify]: Simplify 0 into 0 6.408 * [backup-simplify]: Simplify 1 into 1 6.408 * [backup-simplify]: Simplify (/ 1 1) into 1 6.408 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 6.408 * [taylor]: Taking taylor expansion of (/ -1 N) in N 6.408 * [taylor]: Taking taylor expansion of -1 in N 6.408 * [backup-simplify]: Simplify -1 into -1 6.408 * [taylor]: Taking taylor expansion of N in N 6.408 * [backup-simplify]: Simplify 0 into 0 6.408 * [backup-simplify]: Simplify 1 into 1 6.408 * [backup-simplify]: Simplify (/ -1 1) into -1 6.409 * [backup-simplify]: Simplify (sqrt 0) into 0 6.409 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.410 * [backup-simplify]: Simplify (- 1) into -1 6.410 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.410 * [backup-simplify]: Simplify (/ -1 +nan.0) into +nan.0 6.410 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) in N 6.410 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 6.410 * [taylor]: Taking taylor expansion of 1.0 in N 6.410 * [backup-simplify]: Simplify 1.0 into 1.0 6.410 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.410 * [taylor]: Taking taylor expansion of N in N 6.410 * [backup-simplify]: Simplify 0 into 0 6.410 * [backup-simplify]: Simplify 1 into 1 6.411 * [backup-simplify]: Simplify (/ 1 1) into 1 6.411 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 6.411 * [taylor]: Taking taylor expansion of (/ -1 N) in N 6.411 * [taylor]: Taking taylor expansion of -1 in N 6.411 * [backup-simplify]: Simplify -1 into -1 6.411 * [taylor]: Taking taylor expansion of N in N 6.411 * [backup-simplify]: Simplify 0 into 0 6.411 * [backup-simplify]: Simplify 1 into 1 6.411 * [backup-simplify]: Simplify (/ -1 1) into -1 6.411 * [backup-simplify]: Simplify (sqrt 0) into 0 6.412 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.412 * [backup-simplify]: Simplify (- 1) into -1 6.413 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.413 * [backup-simplify]: Simplify (/ -1 +nan.0) into +nan.0 6.413 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.414 * [backup-simplify]: Simplify (- 0) into 0 6.414 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.415 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.418 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.421 * [backup-simplify]: Simplify (- (/ 1.0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 6.421 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.422 * [backup-simplify]: Simplify (- 0) into 0 6.423 * [backup-simplify]: Simplify (+ 0 0) into 0 6.424 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.428 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.432 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 6.433 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 6.434 * [backup-simplify]: Simplify (+ (* (- +nan.0) (/ 1 (- N))) (+ (- +nan.0) (* +nan.0 (/ 1 (/ 1 (- N)))))) into (- (+ (* +nan.0 (/ 1 N)) (- (+ (* +nan.0 N) (- +nan.0))))) 6.434 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 6.434 * [backup-simplify]: Simplify (log (sqrt N)) into (log (sqrt N)) 6.434 * [approximate]: Taking taylor expansion of (log (sqrt N)) in (N) around 0 6.434 * [taylor]: Taking taylor expansion of (log (sqrt N)) in N 6.434 * [taylor]: Taking taylor expansion of (sqrt N) in N 6.434 * [taylor]: Taking taylor expansion of N in N 6.434 * [backup-simplify]: Simplify 0 into 0 6.434 * [backup-simplify]: Simplify 1 into 1 6.434 * [backup-simplify]: Simplify (sqrt 0) into 0 6.436 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.437 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 6.437 * [taylor]: Taking taylor expansion of (log (sqrt N)) in N 6.437 * [taylor]: Taking taylor expansion of (sqrt N) in N 6.437 * [taylor]: Taking taylor expansion of N in N 6.437 * [backup-simplify]: Simplify 0 into 0 6.437 * [backup-simplify]: Simplify 1 into 1 6.437 * [backup-simplify]: Simplify (sqrt 0) into 0 6.439 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.439 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 6.440 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log +nan.0)) into (+ (log N) (log +nan.0)) 6.440 * [backup-simplify]: Simplify (+ (log N) (log +nan.0)) into (+ (log N) (log +nan.0)) 6.443 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.450 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 6.450 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.454 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.468 * [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 6.468 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.469 * [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))))) 6.469 * [backup-simplify]: Simplify (log (sqrt (/ 1 N))) into (log (sqrt (/ 1 N))) 6.469 * [approximate]: Taking taylor expansion of (log (sqrt (/ 1 N))) in (N) around 0 6.469 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 N))) in N 6.469 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 6.469 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.469 * [taylor]: Taking taylor expansion of N in N 6.469 * [backup-simplify]: Simplify 0 into 0 6.469 * [backup-simplify]: Simplify 1 into 1 6.469 * [backup-simplify]: Simplify (/ 1 1) into 1 6.470 * [backup-simplify]: Simplify (sqrt 0) into 0 6.470 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.471 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 6.471 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 N))) in N 6.471 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 6.471 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.471 * [taylor]: Taking taylor expansion of N in N 6.471 * [backup-simplify]: Simplify 0 into 0 6.471 * [backup-simplify]: Simplify 1 into 1 6.471 * [backup-simplify]: Simplify (/ 1 1) into 1 6.471 * [backup-simplify]: Simplify (sqrt 0) into 0 6.472 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.472 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 6.473 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 6.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.475 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.479 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 6.479 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.482 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.490 * [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 6.490 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.490 * [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))))) 6.490 * [backup-simplify]: Simplify (log (sqrt (/ 1 (- N)))) into (log (sqrt (/ -1 N))) 6.490 * [approximate]: Taking taylor expansion of (log (sqrt (/ -1 N))) in (N) around 0 6.490 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 N))) in N 6.490 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 6.490 * [taylor]: Taking taylor expansion of (/ -1 N) in N 6.490 * [taylor]: Taking taylor expansion of -1 in N 6.490 * [backup-simplify]: Simplify -1 into -1 6.490 * [taylor]: Taking taylor expansion of N in N 6.490 * [backup-simplify]: Simplify 0 into 0 6.490 * [backup-simplify]: Simplify 1 into 1 6.491 * [backup-simplify]: Simplify (/ -1 1) into -1 6.491 * [backup-simplify]: Simplify (sqrt 0) into 0 6.492 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.492 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 6.492 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 N))) in N 6.492 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 6.492 * [taylor]: Taking taylor expansion of (/ -1 N) in N 6.492 * [taylor]: Taking taylor expansion of -1 in N 6.492 * [backup-simplify]: Simplify -1 into -1 6.492 * [taylor]: Taking taylor expansion of N in N 6.492 * [backup-simplify]: Simplify 0 into 0 6.492 * [backup-simplify]: Simplify 1 into 1 6.492 * [backup-simplify]: Simplify (/ -1 1) into -1 6.493 * [backup-simplify]: Simplify (sqrt 0) into 0 6.493 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 6.494 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 6.494 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 6.494 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 6.499 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.505 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 6.505 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.506 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.510 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.519 * [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 6.519 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.520 * [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))))) 6.520 * * * [progress]: simplifying candidates 6.522 * [simplify]: Simplifying: (expm1 (+ (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N))))) (log1p (+ (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N))))) (* (/ 1 (sqrt N)) (/ (+ 1.0 N) (sqrt N))) (* (exp (- (log (sqrt N)))) (/ (+ 1.0 N) (sqrt N))) (log (+ (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N))))) (exp (+ (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N))))) (* (cbrt (+ (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N))))) (cbrt (+ (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N)))))) (cbrt (+ (- (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))) (log (/ (+ 1.0 N) (sqrt N))))) (sqrt (+ (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N))))) (sqrt (+ (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N))))) (+ (pow (- (log (sqrt N))) 3) (pow (log (/ (+ 1.0 N) (sqrt N))) 3)) (+ (* (- (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 (/ (+ 1.0 N) (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))) (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))) (log (/ (+ 1.0 N) (sqrt N)))) (+ (- (log (sqrt N))) (log (* (cbrt (/ (+ 1.0 N) (sqrt N))) (cbrt (/ (+ 1.0 N) (sqrt N)))))) (+ (- (log (sqrt N))) (log (sqrt (/ (+ 1.0 N) (sqrt N))))) (+ (- (log (sqrt N))) (log (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (* (cbrt (sqrt N)) (cbrt (sqrt N)))))) (+ (- (log (sqrt N))) (log (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (sqrt (* (cbrt N) (cbrt N)))))) (+ (- (log (sqrt N))) (log (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (sqrt (sqrt N))))) (+ (- (log (sqrt N))) (log (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (sqrt 1)))) (+ (- (log (sqrt N))) (log (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (sqrt (sqrt N))))) (+ (- (log (sqrt N))) (log (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) 1))) (+ (- (log (sqrt N))) (log (/ (sqrt (+ 1.0 N)) (* (cbrt (sqrt N)) (cbrt (sqrt N)))))) (+ (- (log (sqrt N))) (log (/ (sqrt (+ 1.0 N)) (sqrt (* (cbrt N) (cbrt N)))))) (+ (- (log (sqrt N))) (log (/ (sqrt (+ 1.0 N)) (sqrt (sqrt N))))) (+ (- (log (sqrt N))) (log (/ (sqrt (+ 1.0 N)) (sqrt 1)))) (+ (- (log (sqrt N))) (log (/ (sqrt (+ 1.0 N)) (sqrt (sqrt N))))) (+ (- (log (sqrt N))) (log (/ (sqrt (+ 1.0 N)) 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 (+ 1.0 N))) (+ (- (log (cbrt (sqrt N)))) (log (/ (+ 1.0 N) (sqrt N)))) (+ (- (log (sqrt (cbrt N)))) (log (/ (+ 1.0 N) (sqrt N)))) (+ (- (log (sqrt (sqrt N)))) (log (/ (+ 1.0 N) (sqrt N)))) (+ (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N)))) (+ (- (log (sqrt (sqrt N)))) (log (/ (+ 1.0 N) (sqrt N)))) (+ (- (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N)))) (+ (- (log (sqrt N))) (log (+ 1.0 N))) (- (log (sqrt N)) (log (/ (+ 1.0 N) (sqrt N)))) (expm1 (/ (+ 1.0 N) (sqrt N))) (log1p (/ (+ 1.0 N) (sqrt N))) (- (log (+ 1.0 N)) (log (sqrt N))) (log (/ (+ 1.0 N) (sqrt N))) (exp (/ (+ 1.0 N) (sqrt N))) (/ (* (* (+ 1.0 N) (+ 1.0 N)) (+ 1.0 N)) (* (* (sqrt N) (sqrt N)) (sqrt N))) (* (cbrt (/ (+ 1.0 N) (sqrt N))) (cbrt (/ (+ 1.0 N) (sqrt N)))) (cbrt (/ (+ 1.0 N) (sqrt N))) (* (* (/ (+ 1.0 N) (sqrt N)) (/ (+ 1.0 N) (sqrt N))) (/ (+ 1.0 N) (sqrt N))) (sqrt (/ (+ 1.0 N) (sqrt N))) (sqrt (/ (+ 1.0 N) (sqrt N))) (- (+ 1.0 N)) (- (sqrt N)) (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (* (cbrt (sqrt N)) (cbrt (sqrt N)))) (/ (cbrt (+ 1.0 N)) (cbrt (sqrt N))) (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (sqrt (* (cbrt N) (cbrt N)))) (/ (cbrt (+ 1.0 N)) (sqrt (cbrt N))) (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (sqrt (sqrt N))) (/ (cbrt (+ 1.0 N)) (sqrt (sqrt N))) (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (sqrt 1)) (/ (cbrt (+ 1.0 N)) (sqrt N)) (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) (sqrt (sqrt N))) (/ (cbrt (+ 1.0 N)) (sqrt (sqrt N))) (/ (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N))) 1) (/ (cbrt (+ 1.0 N)) (sqrt N)) (/ (sqrt (+ 1.0 N)) (* (cbrt (sqrt N)) (cbrt (sqrt N)))) (/ (sqrt (+ 1.0 N)) (cbrt (sqrt N))) (/ (sqrt (+ 1.0 N)) (sqrt (* (cbrt N) (cbrt N)))) (/ (sqrt (+ 1.0 N)) (sqrt (cbrt N))) (/ (sqrt (+ 1.0 N)) (sqrt (sqrt N))) (/ (sqrt (+ 1.0 N)) (sqrt (sqrt N))) (/ (sqrt (+ 1.0 N)) (sqrt 1)) (/ (sqrt (+ 1.0 N)) (sqrt N)) (/ (sqrt (+ 1.0 N)) (sqrt (sqrt N))) (/ (sqrt (+ 1.0 N)) (sqrt (sqrt N))) (/ (sqrt (+ 1.0 N)) 1) (/ (sqrt (+ 1.0 N)) (sqrt N)) (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N)))) (/ (+ 1.0 N) (cbrt (sqrt N))) (/ 1 (sqrt (* (cbrt N) (cbrt N)))) (/ (+ 1.0 N) (sqrt (cbrt N))) (/ 1 (sqrt (sqrt N))) (/ (+ 1.0 N) (sqrt (sqrt N))) (/ 1 (sqrt 1)) (/ (+ 1.0 N) (sqrt N)) (/ 1 (sqrt (sqrt N))) (/ (+ 1.0 N) (sqrt (sqrt N))) (/ 1 1) (/ (+ 1.0 N) (sqrt N)) (/ 1 (* (cbrt (sqrt N)) (cbrt (sqrt N)))) (/ (+ 1.0 N) (cbrt (sqrt N))) (/ 1 (sqrt (* (cbrt N) (cbrt N)))) (/ (+ 1.0 N) (sqrt (cbrt N))) (/ 1 (sqrt (sqrt N))) (/ (+ 1.0 N) (sqrt (sqrt N))) (/ 1 (sqrt 1)) (/ (+ 1.0 N) (sqrt N)) (/ 1 (sqrt (sqrt N))) (/ (+ 1.0 N) (sqrt (sqrt N))) (/ 1 1) (/ (+ 1.0 N) (sqrt N)) (/ 1 (sqrt N)) (/ (sqrt N) (+ 1.0 N)) (/ (+ 1.0 N) (* (cbrt (sqrt N)) (cbrt (sqrt N)))) (/ (+ 1.0 N) (sqrt (* (cbrt N) (cbrt N)))) (/ (+ 1.0 N) (sqrt (sqrt N))) (/ (+ 1.0 N) (sqrt 1)) (/ (+ 1.0 N) (sqrt (sqrt N))) (/ (+ 1.0 N) 1) (/ (sqrt N) (cbrt (+ 1.0 N))) (/ (sqrt N) (sqrt (+ 1.0 N))) (/ (sqrt N) (+ 1.0 N)) (/ (sqrt N) (+ 1.0 N)) (* (sqrt N) (+ (* 1.0 1.0) (- (* N N) (* 1.0 N)))) (* (sqrt N) (- 1.0 N)) (expm1 (log (sqrt N))) (log1p (log (sqrt N))) (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))))) 6.524 * * [simplify]: iteration 0: 205 enodes 6.587 * * [simplify]: iteration 1: 487 enodes 6.754 * * [simplify]: iteration 2: 1369 enodes 7.396 * * [simplify]: iteration complete: 5000 enodes 7.397 * * [simplify]: Extracting #0: cost 97 inf + 0 7.398 * * [simplify]: Extracting #1: cost 737 inf + 2 7.406 * * [simplify]: Extracting #2: cost 1550 inf + 6664 7.432 * * [simplify]: Extracting #3: cost 1470 inf + 71558 7.533 * * [simplify]: Extracting #4: cost 377 inf + 377554 7.631 * * [simplify]: Extracting #5: cost 13 inf + 512033 7.719 * * [simplify]: Extracting #6: cost 0 inf + 517236 7.816 * [simplify]: Simplified to: (expm1 (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N)))) (log1p (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N)))) (/ (/ (+ 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)))) (fma (- (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))))) (fma (log (sqrt N)) (log (sqrt N)) (fma (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))))) (- 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)))) (log (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))) (log (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))) (log (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))) (- (fma 2 (log (cbrt (sqrt N))) (log (sqrt N)))) (- (- (log (sqrt N))) (log (fabs (cbrt N)))) (- (- (log (sqrt N))) (log (sqrt (sqrt N)))) (- (log (sqrt N))) (- (- (log (sqrt N))) (log (sqrt (sqrt N)))) (- (log (sqrt N))) (- (fma 2 (log (cbrt (sqrt N))) (log (sqrt N)))) (- (- (log (sqrt N))) (log (fabs (cbrt N)))) (- (- (log (sqrt N))) (log (sqrt (sqrt N)))) (- (log (sqrt N))) (- (- (log (sqrt N))) (log (sqrt (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)))) (expm1 (/ (+ N 1.0) (sqrt N))) (log1p (/ (+ 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) (fma 1.0 1.0 (* N (- N 1.0)))) (* (sqrt N) (- 1.0 N)) (expm1 (log (sqrt N))) (log1p (log (sqrt N))) (log (* (cbrt (sqrt N)) (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))) (- (+ (fma +nan.0 (/ -1 N) (log (/ -1 N))) (/ +nan.0 (* N N)))) (- (fma +nan.0 (- N (* N N)) +nan.0)) (fma +nan.0 (/ -1 (* N N)) (- (/ +nan.0 N) +nan.0)) (fma +nan.0 (/ -1 N) (- (* N +nan.0) +nan.0)) (- (+ (log +nan.0) (log N)) (* +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)) 7.824 * * * [progress]: adding candidates to table 8.585 * * [progress]: iteration 4 / 4 8.585 * * * [progress]: picking best candidate 8.601 * * * * [pick]: Picked # 8.601 * * * [progress]: localizing error 8.643 * * * [progress]: generating rewritten candidates 8.643 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 8.989 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 9.068 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 9.074 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 2) 9.104 * * * [progress]: generating series expansions 9.104 * * * * [progress]: [ 1 / 4 ] generating series at (2) 9.104 * [backup-simplify]: Simplify (+ (- (log (sqrt N))) (log (* (* (cbrt (/ (+ 1.0 N) (sqrt N))) (cbrt (/ (+ 1.0 N) (sqrt N)))) (cbrt (/ (+ 1.0 N) (sqrt N)))))) into (- (log (* (sqrt (/ 1 N)) (+ N 1.0))) (log (sqrt N))) 9.104 * [approximate]: Taking taylor expansion of (- (log (* (sqrt (/ 1 N)) (+ N 1.0))) (log (sqrt N))) in (N) around 0 9.104 * [taylor]: Taking taylor expansion of (- (log (* (sqrt (/ 1 N)) (+ N 1.0))) (log (sqrt N))) in N 9.104 * [taylor]: Taking taylor expansion of (log (* (sqrt (/ 1 N)) (+ N 1.0))) in N 9.104 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 N)) (+ N 1.0)) in N 9.104 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 9.104 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.104 * [taylor]: Taking taylor expansion of N in N 9.104 * [backup-simplify]: Simplify 0 into 0 9.104 * [backup-simplify]: Simplify 1 into 1 9.105 * [backup-simplify]: Simplify (/ 1 1) into 1 9.105 * [backup-simplify]: Simplify (sqrt 0) into 0 9.106 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.106 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 9.106 * [taylor]: Taking taylor expansion of N in N 9.106 * [backup-simplify]: Simplify 0 into 0 9.106 * [backup-simplify]: Simplify 1 into 1 9.106 * [taylor]: Taking taylor expansion of 1.0 in N 9.106 * [backup-simplify]: Simplify 1.0 into 1.0 9.107 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.107 * [backup-simplify]: Simplify (* 0 1.0) into 0 9.107 * [backup-simplify]: Simplify (+ 1 0) into 1 9.108 * [backup-simplify]: Simplify (+ (* 0 1) (* +nan.0 1.0)) into (- +nan.0) 9.109 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 9.109 * [taylor]: Taking taylor expansion of (log (sqrt N)) in N 9.109 * [taylor]: Taking taylor expansion of (sqrt N) in N 9.109 * [taylor]: Taking taylor expansion of N in N 9.109 * [backup-simplify]: Simplify 0 into 0 9.109 * [backup-simplify]: Simplify 1 into 1 9.109 * [backup-simplify]: Simplify (sqrt 0) into 0 9.110 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.110 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.110 * [taylor]: Taking taylor expansion of (- (log (* (sqrt (/ 1 N)) (+ N 1.0))) (log (sqrt N))) in N 9.110 * [taylor]: Taking taylor expansion of (log (* (sqrt (/ 1 N)) (+ N 1.0))) in N 9.110 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 N)) (+ N 1.0)) in N 9.110 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 9.110 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.110 * [taylor]: Taking taylor expansion of N in N 9.110 * [backup-simplify]: Simplify 0 into 0 9.110 * [backup-simplify]: Simplify 1 into 1 9.111 * [backup-simplify]: Simplify (/ 1 1) into 1 9.111 * [backup-simplify]: Simplify (sqrt 0) into 0 9.112 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.112 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 9.112 * [taylor]: Taking taylor expansion of N in N 9.112 * [backup-simplify]: Simplify 0 into 0 9.112 * [backup-simplify]: Simplify 1 into 1 9.112 * [taylor]: Taking taylor expansion of 1.0 in N 9.112 * [backup-simplify]: Simplify 1.0 into 1.0 9.112 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.112 * [backup-simplify]: Simplify (* 0 1.0) into 0 9.113 * [backup-simplify]: Simplify (+ 1 0) into 1 9.114 * [backup-simplify]: Simplify (+ (* 0 1) (* +nan.0 1.0)) into (- +nan.0) 9.114 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 9.114 * [taylor]: Taking taylor expansion of (log (sqrt N)) in N 9.114 * [taylor]: Taking taylor expansion of (sqrt N) in N 9.114 * [taylor]: Taking taylor expansion of N in N 9.114 * [backup-simplify]: Simplify 0 into 0 9.114 * [backup-simplify]: Simplify 1 into 1 9.114 * [backup-simplify]: Simplify (sqrt 0) into 0 9.115 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.115 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.116 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log +nan.0)) into (+ (log N) (log +nan.0)) 9.116 * [backup-simplify]: Simplify (- (+ (log N) (log +nan.0))) into (- (+ (log N) (log +nan.0))) 9.117 * [backup-simplify]: Simplify (+ (log (- +nan.0)) (- (+ (log N) (log +nan.0)))) into (- (log (- +nan.0)) (+ (log N) (log +nan.0))) 9.118 * [backup-simplify]: Simplify (- (log (- +nan.0)) (+ (log N) (log +nan.0))) into (- (log (- +nan.0)) (+ (log N) (log +nan.0))) 9.118 * [backup-simplify]: Simplify (+ 0 0) into 0 9.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.121 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.122 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 1) (* +nan.0 1.0))) into (- +nan.0) 9.136 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 9.139 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.145 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 9.146 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.146 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 9.147 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.147 * [backup-simplify]: Simplify (+ 0 0) into 0 9.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.152 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.157 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 1) (* +nan.0 1.0)))) into (- +nan.0) 9.175 * [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 9.179 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.193 * [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 9.194 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.195 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 9.195 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.197 * [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))))) 9.198 * [backup-simplify]: Simplify (+ (- (log (sqrt (/ 1 N)))) (log (* (* (cbrt (/ (+ 1.0 (/ 1 N)) (sqrt (/ 1 N)))) (cbrt (/ (+ 1.0 (/ 1 N)) (sqrt (/ 1 N))))) (cbrt (/ (+ 1.0 (/ 1 N)) (sqrt (/ 1 N))))))) into (- (log (* (sqrt N) (+ (/ 1 N) 1.0))) (log (sqrt (/ 1 N)))) 9.198 * [approximate]: Taking taylor expansion of (- (log (* (sqrt N) (+ (/ 1 N) 1.0))) (log (sqrt (/ 1 N)))) in (N) around 0 9.198 * [taylor]: Taking taylor expansion of (- (log (* (sqrt N) (+ (/ 1 N) 1.0))) (log (sqrt (/ 1 N)))) in N 9.198 * [taylor]: Taking taylor expansion of (log (* (sqrt N) (+ (/ 1 N) 1.0))) in N 9.198 * [taylor]: Taking taylor expansion of (* (sqrt N) (+ (/ 1 N) 1.0)) in N 9.198 * [taylor]: Taking taylor expansion of (sqrt N) in N 9.198 * [taylor]: Taking taylor expansion of N in N 9.198 * [backup-simplify]: Simplify 0 into 0 9.198 * [backup-simplify]: Simplify 1 into 1 9.199 * [backup-simplify]: Simplify (sqrt 0) into 0 9.200 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.200 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 9.200 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.200 * [taylor]: Taking taylor expansion of N in N 9.200 * [backup-simplify]: Simplify 0 into 0 9.200 * [backup-simplify]: Simplify 1 into 1 9.200 * [backup-simplify]: Simplify (/ 1 1) into 1 9.200 * [taylor]: Taking taylor expansion of 1.0 in N 9.201 * [backup-simplify]: Simplify 1.0 into 1.0 9.201 * [backup-simplify]: Simplify (+ 1 0) into 1 9.201 * [backup-simplify]: Simplify (* 0 1) into 0 9.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.203 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.204 * [backup-simplify]: Simplify (+ (* 0 1.0) (* +nan.0 1)) into (- +nan.0) 9.205 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 9.205 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 N))) in N 9.205 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 9.205 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.205 * [taylor]: Taking taylor expansion of N in N 9.205 * [backup-simplify]: Simplify 0 into 0 9.205 * [backup-simplify]: Simplify 1 into 1 9.206 * [backup-simplify]: Simplify (/ 1 1) into 1 9.206 * [backup-simplify]: Simplify (sqrt 0) into 0 9.207 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.208 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.208 * [taylor]: Taking taylor expansion of (- (log (* (sqrt N) (+ (/ 1 N) 1.0))) (log (sqrt (/ 1 N)))) in N 9.208 * [taylor]: Taking taylor expansion of (log (* (sqrt N) (+ (/ 1 N) 1.0))) in N 9.208 * [taylor]: Taking taylor expansion of (* (sqrt N) (+ (/ 1 N) 1.0)) in N 9.208 * [taylor]: Taking taylor expansion of (sqrt N) in N 9.208 * [taylor]: Taking taylor expansion of N in N 9.208 * [backup-simplify]: Simplify 0 into 0 9.208 * [backup-simplify]: Simplify 1 into 1 9.208 * [backup-simplify]: Simplify (sqrt 0) into 0 9.209 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.209 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 9.210 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.210 * [taylor]: Taking taylor expansion of N in N 9.210 * [backup-simplify]: Simplify 0 into 0 9.210 * [backup-simplify]: Simplify 1 into 1 9.210 * [backup-simplify]: Simplify (/ 1 1) into 1 9.210 * [taylor]: Taking taylor expansion of 1.0 in N 9.210 * [backup-simplify]: Simplify 1.0 into 1.0 9.210 * [backup-simplify]: Simplify (+ 1 0) into 1 9.211 * [backup-simplify]: Simplify (* 0 1) into 0 9.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.212 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.214 * [backup-simplify]: Simplify (+ (* 0 1.0) (* +nan.0 1)) into (- +nan.0) 9.215 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 9.215 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 N))) in N 9.215 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 9.215 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.215 * [taylor]: Taking taylor expansion of N in N 9.215 * [backup-simplify]: Simplify 0 into 0 9.215 * [backup-simplify]: Simplify 1 into 1 9.215 * [backup-simplify]: Simplify (/ 1 1) into 1 9.216 * [backup-simplify]: Simplify (sqrt 0) into 0 9.217 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.218 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.219 * [backup-simplify]: Simplify (- (log +nan.0)) into (- (log +nan.0)) 9.221 * [backup-simplify]: Simplify (+ (log (- +nan.0)) (- (log +nan.0))) into (- (log (- +nan.0)) (log +nan.0)) 9.223 * [backup-simplify]: Simplify (- (log (- +nan.0)) (log +nan.0)) into (- (log (- +nan.0)) (log +nan.0)) 9.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.224 * [backup-simplify]: Simplify (+ 0 0) into 0 9.227 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.230 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 1.0) (* +nan.0 1))) into (- +nan.0) 9.238 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 9.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.242 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.249 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 9.250 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.250 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 9.251 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.252 * [backup-simplify]: Simplify (+ 0 0) into 0 9.256 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.261 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 1.0) (* +nan.0 1)))) into (- +nan.0) 9.284 * [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 9.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.289 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.304 * [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 9.304 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.305 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 9.305 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.308 * [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))))) 9.309 * [backup-simplify]: Simplify (+ (- (log (sqrt (/ 1 (- N))))) (log (* (* (cbrt (/ (+ 1.0 (/ 1 (- N))) (sqrt (/ 1 (- N))))) (cbrt (/ (+ 1.0 (/ 1 (- N))) (sqrt (/ 1 (- N)))))) (cbrt (/ (+ 1.0 (/ 1 (- N))) (sqrt (/ 1 (- N)))))))) into (- (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))) (log (sqrt (/ -1 N)))) 9.309 * [approximate]: Taking taylor expansion of (- (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))) (log (sqrt (/ -1 N)))) in (N) around 0 9.309 * [taylor]: Taking taylor expansion of (- (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))) (log (sqrt (/ -1 N)))) in N 9.309 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))) in N 9.309 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) in N 9.309 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 9.309 * [taylor]: Taking taylor expansion of 1.0 in N 9.309 * [backup-simplify]: Simplify 1.0 into 1.0 9.309 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.309 * [taylor]: Taking taylor expansion of N in N 9.309 * [backup-simplify]: Simplify 0 into 0 9.309 * [backup-simplify]: Simplify 1 into 1 9.310 * [backup-simplify]: Simplify (/ 1 1) into 1 9.310 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 9.310 * [taylor]: Taking taylor expansion of (/ -1 N) in N 9.310 * [taylor]: Taking taylor expansion of -1 in N 9.310 * [backup-simplify]: Simplify -1 into -1 9.310 * [taylor]: Taking taylor expansion of N in N 9.310 * [backup-simplify]: Simplify 0 into 0 9.310 * [backup-simplify]: Simplify 1 into 1 9.311 * [backup-simplify]: Simplify (/ -1 1) into -1 9.311 * [backup-simplify]: Simplify (sqrt 0) into 0 9.313 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.313 * [backup-simplify]: Simplify (- 1) into -1 9.314 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.314 * [backup-simplify]: Simplify (/ -1 +nan.0) into +nan.0 9.314 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.314 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 N))) in N 9.314 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 9.315 * [taylor]: Taking taylor expansion of (/ -1 N) in N 9.315 * [taylor]: Taking taylor expansion of -1 in N 9.315 * [backup-simplify]: Simplify -1 into -1 9.315 * [taylor]: Taking taylor expansion of N in N 9.315 * [backup-simplify]: Simplify 0 into 0 9.315 * [backup-simplify]: Simplify 1 into 1 9.315 * [backup-simplify]: Simplify (/ -1 1) into -1 9.315 * [backup-simplify]: Simplify (sqrt 0) into 0 9.317 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.317 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.317 * [taylor]: Taking taylor expansion of (- (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))) (log (sqrt (/ -1 N)))) in N 9.317 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))) in N 9.317 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) in N 9.317 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 9.317 * [taylor]: Taking taylor expansion of 1.0 in N 9.317 * [backup-simplify]: Simplify 1.0 into 1.0 9.317 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.317 * [taylor]: Taking taylor expansion of N in N 9.317 * [backup-simplify]: Simplify 0 into 0 9.317 * [backup-simplify]: Simplify 1 into 1 9.318 * [backup-simplify]: Simplify (/ 1 1) into 1 9.318 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 9.318 * [taylor]: Taking taylor expansion of (/ -1 N) in N 9.318 * [taylor]: Taking taylor expansion of -1 in N 9.318 * [backup-simplify]: Simplify -1 into -1 9.318 * [taylor]: Taking taylor expansion of N in N 9.318 * [backup-simplify]: Simplify 0 into 0 9.318 * [backup-simplify]: Simplify 1 into 1 9.318 * [backup-simplify]: Simplify (/ -1 1) into -1 9.319 * [backup-simplify]: Simplify (sqrt 0) into 0 9.320 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.321 * [backup-simplify]: Simplify (- 1) into -1 9.321 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.321 * [backup-simplify]: Simplify (/ -1 +nan.0) into +nan.0 9.322 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.322 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 N))) in N 9.322 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 9.322 * [taylor]: Taking taylor expansion of (/ -1 N) in N 9.322 * [taylor]: Taking taylor expansion of -1 in N 9.322 * [backup-simplify]: Simplify -1 into -1 9.322 * [taylor]: Taking taylor expansion of N in N 9.322 * [backup-simplify]: Simplify 0 into 0 9.322 * [backup-simplify]: Simplify 1 into 1 9.323 * [backup-simplify]: Simplify (/ -1 1) into -1 9.323 * [backup-simplify]: Simplify (sqrt 0) into 0 9.324 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.325 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.326 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log +nan.0)) into (- (log +nan.0) (log N)) 9.326 * [backup-simplify]: Simplify (- (log +nan.0)) into (- (log +nan.0)) 9.328 * [backup-simplify]: Simplify (+ (- (log +nan.0) (log N)) (- (log +nan.0))) into (- (log N)) 9.328 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 9.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.329 * [backup-simplify]: Simplify (- 0) into 0 9.329 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.330 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.333 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.336 * [backup-simplify]: Simplify (- (/ 1.0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 9.344 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow +nan.0 1)))) 1) into +nan.0 9.345 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.348 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.354 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 9.355 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.356 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 9.356 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.357 * [backup-simplify]: Simplify (- 0) into 0 9.358 * [backup-simplify]: Simplify (+ 0 0) into 0 9.359 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.362 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.365 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 9.375 * [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 9.375 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.378 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.386 * [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 9.386 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.387 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 9.387 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.388 * [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))))) 9.388 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 9.388 * [backup-simplify]: Simplify (* (cbrt (/ (+ 1.0 N) (sqrt N))) (cbrt (/ (+ 1.0 N) (sqrt N)))) into (pow (/ (pow (+ N 1.0) 2) N) 1/3) 9.388 * [approximate]: Taking taylor expansion of (pow (/ (pow (+ N 1.0) 2) N) 1/3) in (N) around 0 9.388 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ N 1.0) 2) N) 1/3) in N 9.388 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ N 1.0) 2) N)))) in N 9.388 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ N 1.0) 2) N))) in N 9.388 * [taylor]: Taking taylor expansion of 1/3 in N 9.388 * [backup-simplify]: Simplify 1/3 into 1/3 9.388 * [taylor]: Taking taylor expansion of (log (/ (pow (+ N 1.0) 2) N)) in N 9.388 * [taylor]: Taking taylor expansion of (/ (pow (+ N 1.0) 2) N) in N 9.388 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 2) in N 9.388 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 9.388 * [taylor]: Taking taylor expansion of N in N 9.388 * [backup-simplify]: Simplify 0 into 0 9.388 * [backup-simplify]: Simplify 1 into 1 9.388 * [taylor]: Taking taylor expansion of 1.0 in N 9.388 * [backup-simplify]: Simplify 1.0 into 1.0 9.389 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.389 * [taylor]: Taking taylor expansion of N in N 9.389 * [backup-simplify]: Simplify 0 into 0 9.389 * [backup-simplify]: Simplify 1 into 1 9.389 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 9.390 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 9.390 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 9.390 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 9.391 * [backup-simplify]: Simplify (* 1/3 (- (log 1.0) (log N))) into (* 1/3 (- (log 1.0) (log N))) 9.391 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1.0) (log N)))) into (exp (* 1/3 (- (log 1.0) (log N)))) 9.391 * [taylor]: Taking taylor expansion of (pow (/ (pow (+ N 1.0) 2) N) 1/3) in N 9.391 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (+ N 1.0) 2) N)))) in N 9.391 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (+ N 1.0) 2) N))) in N 9.391 * [taylor]: Taking taylor expansion of 1/3 in N 9.391 * [backup-simplify]: Simplify 1/3 into 1/3 9.391 * [taylor]: Taking taylor expansion of (log (/ (pow (+ N 1.0) 2) N)) in N 9.391 * [taylor]: Taking taylor expansion of (/ (pow (+ N 1.0) 2) N) in N 9.391 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 2) in N 9.392 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 9.392 * [taylor]: Taking taylor expansion of N in N 9.392 * [backup-simplify]: Simplify 0 into 0 9.392 * [backup-simplify]: Simplify 1 into 1 9.392 * [taylor]: Taking taylor expansion of 1.0 in N 9.392 * [backup-simplify]: Simplify 1.0 into 1.0 9.392 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.392 * [taylor]: Taking taylor expansion of N in N 9.392 * [backup-simplify]: Simplify 0 into 0 9.392 * [backup-simplify]: Simplify 1 into 1 9.392 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 9.393 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 9.393 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 9.394 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 9.399 * [backup-simplify]: Simplify (* 1/3 (- (log 1.0) (log N))) into (* 1/3 (- (log 1.0) (log N))) 9.399 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1.0) (log N)))) into (exp (* 1/3 (- (log 1.0) (log N)))) 9.400 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 1.0) (log N)))) into (exp (* 1/3 (- (log 1.0) (log N)))) 9.400 * [backup-simplify]: Simplify (+ 1 0) into 1 9.401 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 1 1.0)) into 2.0 9.403 * [backup-simplify]: Simplify (- (/ 2.0 1) (+ (* 1.0 (/ 0 1)))) into 2.0 9.407 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2.0) 1)) (pow 1.0 1)))) 1) into 2.0 9.407 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 9.408 * [backup-simplify]: Simplify (+ (* 1/3 2.0) (* 0 (- (log 1.0) (log N)))) into 0.6666666666666666 9.410 * [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))))) 9.410 * [backup-simplify]: Simplify (* 0.6666666666666666 (exp (* 1/3 (- (log 1.0) (log N))))) into (* 0.6666666666666666 (exp (* 1/3 (- (log 1.0) (log N))))) 9.411 * [backup-simplify]: Simplify (+ 0 0) into 0 9.411 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 1 1) (* 0 1.0))) into 1 9.412 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1.0 (/ 0 1)) (* 2.0 (/ 0 1)))) into 1 9.421 * [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))))) 9.422 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log 1.0)) into (- (log 1.0) (log N)) 9.429 * [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)))) 9.441 * [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))))) 9.445 * [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))))) 9.450 * [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)))) 9.450 * [backup-simplify]: Simplify (* (cbrt (/ (+ 1.0 (/ 1 N)) (sqrt (/ 1 N)))) (cbrt (/ (+ 1.0 (/ 1 N)) (sqrt (/ 1 N))))) into (pow (* N (pow (+ (/ 1 N) 1.0) 2)) 1/3) 9.450 * [approximate]: Taking taylor expansion of (pow (* N (pow (+ (/ 1 N) 1.0) 2)) 1/3) in (N) around 0 9.450 * [taylor]: Taking taylor expansion of (pow (* N (pow (+ (/ 1 N) 1.0) 2)) 1/3) in N 9.450 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (pow (+ (/ 1 N) 1.0) 2))))) in N 9.450 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (pow (+ (/ 1 N) 1.0) 2)))) in N 9.450 * [taylor]: Taking taylor expansion of 1/3 in N 9.450 * [backup-simplify]: Simplify 1/3 into 1/3 9.450 * [taylor]: Taking taylor expansion of (log (* N (pow (+ (/ 1 N) 1.0) 2))) in N 9.450 * [taylor]: Taking taylor expansion of (* N (pow (+ (/ 1 N) 1.0) 2)) in N 9.450 * [taylor]: Taking taylor expansion of N in N 9.450 * [backup-simplify]: Simplify 0 into 0 9.450 * [backup-simplify]: Simplify 1 into 1 9.451 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 2) in N 9.451 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 9.451 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.451 * [taylor]: Taking taylor expansion of N in N 9.451 * [backup-simplify]: Simplify 0 into 0 9.451 * [backup-simplify]: Simplify 1 into 1 9.451 * [backup-simplify]: Simplify (/ 1 1) into 1 9.451 * [taylor]: Taking taylor expansion of 1.0 in N 9.451 * [backup-simplify]: Simplify 1.0 into 1.0 9.452 * [backup-simplify]: Simplify (+ 1 0) into 1 9.452 * [backup-simplify]: Simplify (* 1 1) into 1 9.452 * [backup-simplify]: Simplify (* 0 1) into 0 9.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.454 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.455 * [backup-simplify]: Simplify (+ (* 1 1.0) (* 1.0 1)) into 2.0 9.456 * [backup-simplify]: Simplify (+ (* 0 2.0) (* 1 1)) into 1 9.456 * [backup-simplify]: Simplify (log 1) into 0 9.457 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.457 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 9.457 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 9.457 * [taylor]: Taking taylor expansion of (pow (* N (pow (+ (/ 1 N) 1.0) 2)) 1/3) in N 9.457 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* N (pow (+ (/ 1 N) 1.0) 2))))) in N 9.457 * [taylor]: Taking taylor expansion of (* 1/3 (log (* N (pow (+ (/ 1 N) 1.0) 2)))) in N 9.457 * [taylor]: Taking taylor expansion of 1/3 in N 9.457 * [backup-simplify]: Simplify 1/3 into 1/3 9.457 * [taylor]: Taking taylor expansion of (log (* N (pow (+ (/ 1 N) 1.0) 2))) in N 9.457 * [taylor]: Taking taylor expansion of (* N (pow (+ (/ 1 N) 1.0) 2)) in N 9.457 * [taylor]: Taking taylor expansion of N in N 9.457 * [backup-simplify]: Simplify 0 into 0 9.457 * [backup-simplify]: Simplify 1 into 1 9.457 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 2) in N 9.457 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 9.457 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.457 * [taylor]: Taking taylor expansion of N in N 9.457 * [backup-simplify]: Simplify 0 into 0 9.457 * [backup-simplify]: Simplify 1 into 1 9.458 * [backup-simplify]: Simplify (/ 1 1) into 1 9.458 * [taylor]: Taking taylor expansion of 1.0 in N 9.458 * [backup-simplify]: Simplify 1.0 into 1.0 9.458 * [backup-simplify]: Simplify (+ 1 0) into 1 9.459 * [backup-simplify]: Simplify (* 1 1) into 1 9.459 * [backup-simplify]: Simplify (* 0 1) into 0 9.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.460 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.462 * [backup-simplify]: Simplify (+ (* 1 1.0) (* 1.0 1)) into 2.0 9.463 * [backup-simplify]: Simplify (+ (* 0 2.0) (* 1 1)) into 1 9.463 * [backup-simplify]: Simplify (log 1) into 0 9.463 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.463 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 9.464 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 9.464 * [backup-simplify]: Simplify (pow N -1/3) into (pow N -1/3) 9.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.465 * [backup-simplify]: Simplify (+ 0 0) into 0 9.468 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1.0 1.0) (* 0 1))) into 1.0 9.471 * [backup-simplify]: Simplify (+ (* 0 1.0) (+ (* 1 2.0) (* 0 1))) into 2.0 9.477 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2.0) 1)) (pow 1 1)))) 1) into 2.0 9.478 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.478 * [backup-simplify]: Simplify (+ (* 1/3 2.0) (* 0 (- (log N)))) into 0.6666666666666666 9.481 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0.6666666666666666 1) 1)))) into (* 0.6666666666666666 (pow (/ 1 N) 1/3)) 9.481 * [backup-simplify]: Simplify (* 0.6666666666666666 (pow (/ 1 N) 1/3)) into (* 0.6666666666666666 (pow (/ 1 N) 1/3)) 9.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.483 * [backup-simplify]: Simplify (+ 0 0) into 0 9.484 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1.0 0) (+ (* 0 1.0) (* 0 1)))) into 0 9.488 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1.0) (+ (* 0 2.0) (* 0 1)))) into 1.0 9.504 * [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 9.505 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.506 * [backup-simplify]: Simplify (+ (* 1/3 -1.0) (+ (* 0 2.0) (* 0 (- (log N))))) into (- 0.3333333333333333) 9.512 * [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)) 9.512 * [backup-simplify]: Simplify (* -0.1111111111111111 (pow (/ 1 N) 1/3)) into (* -0.1111111111111111 (pow (/ 1 N) 1/3)) 9.513 * [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))) 9.514 * [backup-simplify]: Simplify (* (cbrt (/ (+ 1.0 (/ 1 (- N))) (sqrt (/ 1 (- N))))) (cbrt (/ (+ 1.0 (/ 1 (- N))) (sqrt (/ 1 (- N)))))) into (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow (sqrt (/ -1 N)) 2)) 1/3) 9.514 * [approximate]: Taking taylor expansion of (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow (sqrt (/ -1 N)) 2)) 1/3) in (N) around 0 9.514 * [taylor]: Taking taylor expansion of (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow (sqrt (/ -1 N)) 2)) 1/3) in N 9.514 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow (sqrt (/ -1 N)) 2))))) in N 9.514 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow (sqrt (/ -1 N)) 2)))) in N 9.514 * [taylor]: Taking taylor expansion of 1/3 in N 9.514 * [backup-simplify]: Simplify 1/3 into 1/3 9.514 * [taylor]: Taking taylor expansion of (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow (sqrt (/ -1 N)) 2))) in N 9.514 * [taylor]: Taking taylor expansion of (/ (pow (- 1.0 (/ 1 N)) 2) (pow (sqrt (/ -1 N)) 2)) in N 9.514 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 2) in N 9.514 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 9.514 * [taylor]: Taking taylor expansion of 1.0 in N 9.514 * [backup-simplify]: Simplify 1.0 into 1.0 9.514 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.514 * [taylor]: Taking taylor expansion of N in N 9.514 * [backup-simplify]: Simplify 0 into 0 9.514 * [backup-simplify]: Simplify 1 into 1 9.515 * [backup-simplify]: Simplify (/ 1 1) into 1 9.515 * [backup-simplify]: Simplify (- 1) into -1 9.516 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.516 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 N)) 2) in N 9.516 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 9.516 * [taylor]: Taking taylor expansion of (/ -1 N) in N 9.516 * [taylor]: Taking taylor expansion of -1 in N 9.516 * [backup-simplify]: Simplify -1 into -1 9.516 * [taylor]: Taking taylor expansion of N in N 9.516 * [backup-simplify]: Simplify 0 into 0 9.516 * [backup-simplify]: Simplify 1 into 1 9.516 * [backup-simplify]: Simplify (/ -1 1) into -1 9.517 * [backup-simplify]: Simplify (sqrt 0) into 0 9.518 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.519 * [backup-simplify]: Simplify (* -1 -1) into 1 9.519 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 9.520 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 9.520 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.521 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log +nan.0)) into (- (log +nan.0) (* 2 (log N))) 9.521 * [backup-simplify]: Simplify (* 1/3 (- (log +nan.0) (* 2 (log N)))) into (* 1/3 (- (log +nan.0) (* 2 (log N)))) 9.522 * [backup-simplify]: Simplify (exp (* 1/3 (- (log +nan.0) (* 2 (log N))))) into (exp (* 1/3 (- (log +nan.0) (* 2 (log N))))) 9.522 * [taylor]: Taking taylor expansion of (pow (/ (pow (- 1.0 (/ 1 N)) 2) (pow (sqrt (/ -1 N)) 2)) 1/3) in N 9.522 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow (sqrt (/ -1 N)) 2))))) in N 9.522 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow (sqrt (/ -1 N)) 2)))) in N 9.522 * [taylor]: Taking taylor expansion of 1/3 in N 9.522 * [backup-simplify]: Simplify 1/3 into 1/3 9.522 * [taylor]: Taking taylor expansion of (log (/ (pow (- 1.0 (/ 1 N)) 2) (pow (sqrt (/ -1 N)) 2))) in N 9.522 * [taylor]: Taking taylor expansion of (/ (pow (- 1.0 (/ 1 N)) 2) (pow (sqrt (/ -1 N)) 2)) in N 9.522 * [taylor]: Taking taylor expansion of (pow (- 1.0 (/ 1 N)) 2) in N 9.522 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 9.522 * [taylor]: Taking taylor expansion of 1.0 in N 9.522 * [backup-simplify]: Simplify 1.0 into 1.0 9.522 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.522 * [taylor]: Taking taylor expansion of N in N 9.522 * [backup-simplify]: Simplify 0 into 0 9.523 * [backup-simplify]: Simplify 1 into 1 9.523 * [backup-simplify]: Simplify (/ 1 1) into 1 9.523 * [backup-simplify]: Simplify (- 1) into -1 9.524 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.524 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 N)) 2) in N 9.524 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 9.524 * [taylor]: Taking taylor expansion of (/ -1 N) in N 9.524 * [taylor]: Taking taylor expansion of -1 in N 9.524 * [backup-simplify]: Simplify -1 into -1 9.524 * [taylor]: Taking taylor expansion of N in N 9.524 * [backup-simplify]: Simplify 0 into 0 9.524 * [backup-simplify]: Simplify 1 into 1 9.524 * [backup-simplify]: Simplify (/ -1 1) into -1 9.525 * [backup-simplify]: Simplify (sqrt 0) into 0 9.527 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.527 * [backup-simplify]: Simplify (* -1 -1) into 1 9.528 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 9.528 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 9.529 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.530 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log +nan.0)) into (- (log +nan.0) (* 2 (log N))) 9.530 * [backup-simplify]: Simplify (* 1/3 (- (log +nan.0) (* 2 (log N)))) into (* 1/3 (- (log +nan.0) (* 2 (log N)))) 9.530 * [backup-simplify]: Simplify (exp (* 1/3 (- (log +nan.0) (* 2 (log N))))) into (exp (* 1/3 (- (log +nan.0) (* 2 (log N))))) 9.531 * [backup-simplify]: Simplify (exp (* 1/3 (- (log +nan.0) (* 2 (log N))))) into (exp (* 1/3 (- (log +nan.0) (* 2 (log N))))) 9.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.537 * [backup-simplify]: Simplify (- 0) into 0 9.537 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.538 * [backup-simplify]: Simplify (+ (* -1 1.0) (* 1.0 -1)) into (- 2.0) 9.538 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.540 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.541 * [backup-simplify]: Simplify (+ (* +nan.0 +nan.0) (* +nan.0 +nan.0)) into (- +nan.0) 9.543 * [backup-simplify]: Simplify (- (/ (- 2.0) +nan.0) (+ (* +nan.0 (/ (- +nan.0) +nan.0)))) into (- +nan.0) 9.548 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow +nan.0 1)))) 1) into +nan.0 9.549 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log +nan.0)) into (- (log +nan.0) (* 2 (log N))) 9.549 * [backup-simplify]: Simplify (+ (* 1/3 +nan.0) (* 0 (- (log +nan.0) (* 2 (log N))))) into (- +nan.0) 9.551 * [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)))))) 9.552 * [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)))))) 9.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.552 * [backup-simplify]: Simplify (- 0) into 0 9.553 * [backup-simplify]: Simplify (+ 0 0) into 0 9.554 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 1.0 1.0) (* 0 -1))) into 1.0 9.555 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.557 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.559 * [backup-simplify]: Simplify (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 +nan.0))) into (- +nan.0) 9.562 * [backup-simplify]: Simplify (- (/ 1.0 +nan.0) (+ (* +nan.0 (/ (- +nan.0) +nan.0)) (* (- +nan.0) (/ (- +nan.0) +nan.0)))) into (- +nan.0) 9.579 * [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 9.580 * [backup-simplify]: Simplify (+ (* (- 2) (log N)) (log +nan.0)) into (- (log +nan.0) (* 2 (log N))) 9.581 * [backup-simplify]: Simplify (+ (* 1/3 +nan.0) (+ (* 0 +nan.0) (* 0 (- (log +nan.0) (* 2 (log N)))))) into (- +nan.0) 9.588 * [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)))))) 9.588 * [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)))))) 9.591 * [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)))))) 9.591 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 9.591 * [backup-simplify]: Simplify (cbrt (/ (+ 1.0 N) (sqrt N))) into (* (pow (/ 1 N) 1/6) (pow (+ N 1.0) 1/3)) 9.591 * [approximate]: Taking taylor expansion of (* (pow (/ 1 N) 1/6) (pow (+ N 1.0) 1/3)) in (N) around 0 9.591 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/6) (pow (+ N 1.0) 1/3)) in N 9.591 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/6) in N 9.591 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (/ 1 N)))) in N 9.591 * [taylor]: Taking taylor expansion of (* 1/6 (log (/ 1 N))) in N 9.591 * [taylor]: Taking taylor expansion of 1/6 in N 9.591 * [backup-simplify]: Simplify 1/6 into 1/6 9.591 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 9.592 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.592 * [taylor]: Taking taylor expansion of N in N 9.592 * [backup-simplify]: Simplify 0 into 0 9.592 * [backup-simplify]: Simplify 1 into 1 9.592 * [backup-simplify]: Simplify (/ 1 1) into 1 9.592 * [backup-simplify]: Simplify (log 1) into 0 9.593 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.593 * [backup-simplify]: Simplify (* 1/6 (- (log N))) into (* -1/6 (log N)) 9.593 * [backup-simplify]: Simplify (exp (* -1/6 (log N))) into (pow N -1/6) 9.593 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 9.593 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 9.593 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 9.593 * [taylor]: Taking taylor expansion of 1/3 in N 9.593 * [backup-simplify]: Simplify 1/3 into 1/3 9.593 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 9.593 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 9.593 * [taylor]: Taking taylor expansion of N in N 9.593 * [backup-simplify]: Simplify 0 into 0 9.593 * [backup-simplify]: Simplify 1 into 1 9.593 * [taylor]: Taking taylor expansion of 1.0 in N 9.594 * [backup-simplify]: Simplify 1.0 into 1.0 9.594 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.595 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 9.596 * [backup-simplify]: Simplify (* 1/3 (log 1.0)) into (* 1/3 (log 1.0)) 9.597 * [backup-simplify]: Simplify (exp (* 1/3 (log 1.0))) into (pow 1.0 1/3) 9.597 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/6) (pow (+ N 1.0) 1/3)) in N 9.597 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/6) in N 9.597 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (/ 1 N)))) in N 9.597 * [taylor]: Taking taylor expansion of (* 1/6 (log (/ 1 N))) in N 9.597 * [taylor]: Taking taylor expansion of 1/6 in N 9.597 * [backup-simplify]: Simplify 1/6 into 1/6 9.598 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 9.598 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.598 * [taylor]: Taking taylor expansion of N in N 9.598 * [backup-simplify]: Simplify 0 into 0 9.598 * [backup-simplify]: Simplify 1 into 1 9.598 * [backup-simplify]: Simplify (/ 1 1) into 1 9.598 * [backup-simplify]: Simplify (log 1) into 0 9.599 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.599 * [backup-simplify]: Simplify (* 1/6 (- (log N))) into (* -1/6 (log N)) 9.599 * [backup-simplify]: Simplify (exp (* -1/6 (log N))) into (pow N -1/6) 9.599 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 9.599 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 9.599 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 9.599 * [taylor]: Taking taylor expansion of 1/3 in N 9.599 * [backup-simplify]: Simplify 1/3 into 1/3 9.599 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 9.599 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 9.599 * [taylor]: Taking taylor expansion of N in N 9.599 * [backup-simplify]: Simplify 0 into 0 9.599 * [backup-simplify]: Simplify 1 into 1 9.599 * [taylor]: Taking taylor expansion of 1.0 in N 9.599 * [backup-simplify]: Simplify 1.0 into 1.0 9.600 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.600 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 9.601 * [backup-simplify]: Simplify (* 1/3 (log 1.0)) into (* 1/3 (log 1.0)) 9.603 * [backup-simplify]: Simplify (exp (* 1/3 (log 1.0))) into (pow 1.0 1/3) 9.603 * [backup-simplify]: Simplify (* (pow N -1/6) (pow 1.0 1/3)) into (* (pow (/ 1 N) 1/6) (pow 1.0 1/3)) 9.604 * [backup-simplify]: Simplify (* (pow (/ 1 N) 1/6) (pow 1.0 1/3)) into (* (pow (/ 1 N) 1/6) (pow 1.0 1/3)) 9.605 * [backup-simplify]: Simplify (+ 1 0) into 1 9.610 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 9.612 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (log 1.0))) into 0.3333333333333333 9.617 * [backup-simplify]: Simplify (* (exp (* 1/3 (log 1.0))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow 1.0 1/3)) 9.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.619 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 9.620 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.620 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (log N)))) into 0 9.621 * [backup-simplify]: Simplify (* (exp (* -1/6 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 9.623 * [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))) 9.624 * [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))) 9.624 * [backup-simplify]: Simplify (+ 0 0) into 0 9.634 * [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)) 9.639 * [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)))) 9.655 * [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))))) 9.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.658 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 9.658 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.659 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 9.664 * [backup-simplify]: Simplify (* (exp (* -1/6 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.667 * [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)))) 9.669 * [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)))) 9.672 * [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)))) 9.672 * [backup-simplify]: Simplify (cbrt (/ (+ 1.0 (/ 1 N)) (sqrt (/ 1 N)))) into (* (pow N 1/6) (pow (+ (/ 1 N) 1.0) 1/3)) 9.672 * [approximate]: Taking taylor expansion of (* (pow N 1/6) (pow (+ (/ 1 N) 1.0) 1/3)) in (N) around 0 9.672 * [taylor]: Taking taylor expansion of (* (pow N 1/6) (pow (+ (/ 1 N) 1.0) 1/3)) in N 9.672 * [taylor]: Taking taylor expansion of (pow N 1/6) in N 9.672 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log N))) in N 9.672 * [taylor]: Taking taylor expansion of (* 1/6 (log N)) in N 9.672 * [taylor]: Taking taylor expansion of 1/6 in N 9.672 * [backup-simplify]: Simplify 1/6 into 1/6 9.672 * [taylor]: Taking taylor expansion of (log N) in N 9.672 * [taylor]: Taking taylor expansion of N in N 9.672 * [backup-simplify]: Simplify 0 into 0 9.672 * [backup-simplify]: Simplify 1 into 1 9.673 * [backup-simplify]: Simplify (log 1) into 0 9.673 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 9.673 * [backup-simplify]: Simplify (* 1/6 (log N)) into (* 1/6 (log N)) 9.673 * [backup-simplify]: Simplify (exp (* 1/6 (log N))) into (pow N 1/6) 9.673 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 9.673 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 9.673 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 9.673 * [taylor]: Taking taylor expansion of 1/3 in N 9.673 * [backup-simplify]: Simplify 1/3 into 1/3 9.673 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 9.673 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 9.673 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.673 * [taylor]: Taking taylor expansion of N in N 9.673 * [backup-simplify]: Simplify 0 into 0 9.673 * [backup-simplify]: Simplify 1 into 1 9.674 * [backup-simplify]: Simplify (/ 1 1) into 1 9.674 * [taylor]: Taking taylor expansion of 1.0 in N 9.674 * [backup-simplify]: Simplify 1.0 into 1.0 9.674 * [backup-simplify]: Simplify (+ 1 0) into 1 9.674 * [backup-simplify]: Simplify (log 1) into 0 9.674 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.675 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 9.675 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 9.675 * [taylor]: Taking taylor expansion of (* (pow N 1/6) (pow (+ (/ 1 N) 1.0) 1/3)) in N 9.675 * [taylor]: Taking taylor expansion of (pow N 1/6) in N 9.675 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log N))) in N 9.675 * [taylor]: Taking taylor expansion of (* 1/6 (log N)) in N 9.675 * [taylor]: Taking taylor expansion of 1/6 in N 9.675 * [backup-simplify]: Simplify 1/6 into 1/6 9.675 * [taylor]: Taking taylor expansion of (log N) in N 9.675 * [taylor]: Taking taylor expansion of N in N 9.675 * [backup-simplify]: Simplify 0 into 0 9.675 * [backup-simplify]: Simplify 1 into 1 9.675 * [backup-simplify]: Simplify (log 1) into 0 9.675 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 9.675 * [backup-simplify]: Simplify (* 1/6 (log N)) into (* 1/6 (log N)) 9.675 * [backup-simplify]: Simplify (exp (* 1/6 (log N))) into (pow N 1/6) 9.675 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 9.675 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 9.676 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 9.676 * [taylor]: Taking taylor expansion of 1/3 in N 9.676 * [backup-simplify]: Simplify 1/3 into 1/3 9.676 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 9.676 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 9.676 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.676 * [taylor]: Taking taylor expansion of N in N 9.676 * [backup-simplify]: Simplify 0 into 0 9.676 * [backup-simplify]: Simplify 1 into 1 9.676 * [backup-simplify]: Simplify (/ 1 1) into 1 9.676 * [taylor]: Taking taylor expansion of 1.0 in N 9.676 * [backup-simplify]: Simplify 1.0 into 1.0 9.676 * [backup-simplify]: Simplify (+ 1 0) into 1 9.676 * [backup-simplify]: Simplify (log 1) into 0 9.677 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.677 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 9.677 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 9.678 * [backup-simplify]: Simplify (* (pow N 1/6) (pow N -1/3)) into (pow (/ 1 N) 1/6) 9.678 * [backup-simplify]: Simplify (pow (/ 1 N) 1/6) into (pow (/ 1 N) 1/6) 9.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.679 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.683 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 9.683 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.683 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (log N)))) into 0.3333333333333333 9.685 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 N) 1/3)) 9.686 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 9.686 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 9.686 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (log N))) into 0 9.687 * [backup-simplify]: Simplify (* (exp (* 1/6 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 9.687 * [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)) 9.687 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 1/6)) into (* 0.3333333333333333 (pow (/ 1 N) 1/6)) 9.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.688 * [backup-simplify]: Simplify (+ 0 0) into 0 9.695 * [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 9.695 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.695 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (log N))))) into (- 0.16666666666666666) 9.699 * [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)) 9.700 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 9.701 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 9.701 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (log N)))) into 0 9.702 * [backup-simplify]: Simplify (* (exp (* 1/6 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.702 * [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))) 9.702 * [backup-simplify]: Simplify (- (* 0.1111111111111111 (pow (/ 1 N) 1/6))) into (- (* 0.1111111111111111 (pow (/ 1 N) 1/6))) 9.703 * [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))) 9.703 * [backup-simplify]: Simplify (cbrt (/ (+ 1.0 (/ 1 (- N))) (sqrt (/ 1 (- N))))) into (pow (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) 1/3) 9.703 * [approximate]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) 1/3) in (N) around 0 9.703 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) 1/3) in N 9.703 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))))) in N 9.703 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))))) in N 9.703 * [taylor]: Taking taylor expansion of 1/3 in N 9.703 * [backup-simplify]: Simplify 1/3 into 1/3 9.703 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))) in N 9.703 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) in N 9.703 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 9.703 * [taylor]: Taking taylor expansion of 1.0 in N 9.703 * [backup-simplify]: Simplify 1.0 into 1.0 9.703 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.703 * [taylor]: Taking taylor expansion of N in N 9.703 * [backup-simplify]: Simplify 0 into 0 9.703 * [backup-simplify]: Simplify 1 into 1 9.704 * [backup-simplify]: Simplify (/ 1 1) into 1 9.704 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 9.704 * [taylor]: Taking taylor expansion of (/ -1 N) in N 9.704 * [taylor]: Taking taylor expansion of -1 in N 9.704 * [backup-simplify]: Simplify -1 into -1 9.704 * [taylor]: Taking taylor expansion of N in N 9.704 * [backup-simplify]: Simplify 0 into 0 9.704 * [backup-simplify]: Simplify 1 into 1 9.704 * [backup-simplify]: Simplify (/ -1 1) into -1 9.704 * [backup-simplify]: Simplify (sqrt 0) into 0 9.705 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.705 * [backup-simplify]: Simplify (- 1) into -1 9.706 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.706 * [backup-simplify]: Simplify (/ -1 +nan.0) into +nan.0 9.706 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.707 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log +nan.0)) into (- (log +nan.0) (log N)) 9.707 * [backup-simplify]: Simplify (* 1/3 (- (log +nan.0) (log N))) into (* 1/3 (- (log +nan.0) (log N))) 9.707 * [backup-simplify]: Simplify (exp (* 1/3 (- (log +nan.0) (log N)))) into (exp (* 1/3 (- (log +nan.0) (log N)))) 9.707 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) 1/3) in N 9.707 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))))) in N 9.707 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))))) in N 9.708 * [taylor]: Taking taylor expansion of 1/3 in N 9.708 * [backup-simplify]: Simplify 1/3 into 1/3 9.708 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))) in N 9.708 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) in N 9.708 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 9.708 * [taylor]: Taking taylor expansion of 1.0 in N 9.708 * [backup-simplify]: Simplify 1.0 into 1.0 9.708 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.708 * [taylor]: Taking taylor expansion of N in N 9.708 * [backup-simplify]: Simplify 0 into 0 9.708 * [backup-simplify]: Simplify 1 into 1 9.708 * [backup-simplify]: Simplify (/ 1 1) into 1 9.708 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 9.708 * [taylor]: Taking taylor expansion of (/ -1 N) in N 9.708 * [taylor]: Taking taylor expansion of -1 in N 9.708 * [backup-simplify]: Simplify -1 into -1 9.708 * [taylor]: Taking taylor expansion of N in N 9.708 * [backup-simplify]: Simplify 0 into 0 9.708 * [backup-simplify]: Simplify 1 into 1 9.708 * [backup-simplify]: Simplify (/ -1 1) into -1 9.709 * [backup-simplify]: Simplify (sqrt 0) into 0 9.709 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.710 * [backup-simplify]: Simplify (- 1) into -1 9.710 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.710 * [backup-simplify]: Simplify (/ -1 +nan.0) into +nan.0 9.710 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.711 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log +nan.0)) into (- (log +nan.0) (log N)) 9.711 * [backup-simplify]: Simplify (* 1/3 (- (log +nan.0) (log N))) into (* 1/3 (- (log +nan.0) (log N))) 9.711 * [backup-simplify]: Simplify (exp (* 1/3 (- (log +nan.0) (log N)))) into (exp (* 1/3 (- (log +nan.0) (log N)))) 9.712 * [backup-simplify]: Simplify (exp (* 1/3 (- (log +nan.0) (log N)))) into (exp (* 1/3 (- (log +nan.0) (log N)))) 9.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.713 * [backup-simplify]: Simplify (- 0) into 0 9.713 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.713 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.715 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.717 * [backup-simplify]: Simplify (- (/ 1.0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 9.721 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow +nan.0 1)))) 1) into +nan.0 9.722 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log +nan.0)) into (- (log +nan.0) (log N)) 9.722 * [backup-simplify]: Simplify (+ (* 1/3 +nan.0) (* 0 (- (log +nan.0) (log N)))) into (- +nan.0) 9.724 * [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))))) 9.725 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/3 (- (log +nan.0) (log N))))) into (* +nan.0 (exp (* 1/3 (- (log +nan.0) (log N))))) 9.725 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.725 * [backup-simplify]: Simplify (- 0) into 0 9.726 * [backup-simplify]: Simplify (+ 0 0) into 0 9.727 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.731 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.735 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 9.753 * [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 9.754 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log +nan.0)) into (- (log +nan.0) (log N)) 9.756 * [backup-simplify]: Simplify (+ (* 1/3 +nan.0) (+ (* 0 +nan.0) (* 0 (- (log +nan.0) (log N))))) into (- +nan.0) 9.762 * [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))))) 9.763 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/3 (- (log +nan.0) (log N))))) into (* +nan.0 (exp (* 1/3 (- (log +nan.0) (log N))))) 9.765 * [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))))) 9.765 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 2) 9.765 * [backup-simplify]: Simplify (cbrt (/ (+ 1.0 N) (sqrt N))) into (* (pow (/ 1 N) 1/6) (pow (+ N 1.0) 1/3)) 9.765 * [approximate]: Taking taylor expansion of (* (pow (/ 1 N) 1/6) (pow (+ N 1.0) 1/3)) in (N) around 0 9.765 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/6) (pow (+ N 1.0) 1/3)) in N 9.765 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/6) in N 9.765 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (/ 1 N)))) in N 9.765 * [taylor]: Taking taylor expansion of (* 1/6 (log (/ 1 N))) in N 9.765 * [taylor]: Taking taylor expansion of 1/6 in N 9.765 * [backup-simplify]: Simplify 1/6 into 1/6 9.765 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 9.765 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.765 * [taylor]: Taking taylor expansion of N in N 9.765 * [backup-simplify]: Simplify 0 into 0 9.765 * [backup-simplify]: Simplify 1 into 1 9.766 * [backup-simplify]: Simplify (/ 1 1) into 1 9.766 * [backup-simplify]: Simplify (log 1) into 0 9.767 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.767 * [backup-simplify]: Simplify (* 1/6 (- (log N))) into (* -1/6 (log N)) 9.767 * [backup-simplify]: Simplify (exp (* -1/6 (log N))) into (pow N -1/6) 9.767 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 9.767 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 9.767 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 9.767 * [taylor]: Taking taylor expansion of 1/3 in N 9.767 * [backup-simplify]: Simplify 1/3 into 1/3 9.767 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 9.767 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 9.767 * [taylor]: Taking taylor expansion of N in N 9.767 * [backup-simplify]: Simplify 0 into 0 9.767 * [backup-simplify]: Simplify 1 into 1 9.767 * [taylor]: Taking taylor expansion of 1.0 in N 9.767 * [backup-simplify]: Simplify 1.0 into 1.0 9.773 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.774 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 9.774 * [backup-simplify]: Simplify (* 1/3 (log 1.0)) into (* 1/3 (log 1.0)) 9.776 * [backup-simplify]: Simplify (exp (* 1/3 (log 1.0))) into (pow 1.0 1/3) 9.776 * [taylor]: Taking taylor expansion of (* (pow (/ 1 N) 1/6) (pow (+ N 1.0) 1/3)) in N 9.776 * [taylor]: Taking taylor expansion of (pow (/ 1 N) 1/6) in N 9.776 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (/ 1 N)))) in N 9.776 * [taylor]: Taking taylor expansion of (* 1/6 (log (/ 1 N))) in N 9.776 * [taylor]: Taking taylor expansion of 1/6 in N 9.776 * [backup-simplify]: Simplify 1/6 into 1/6 9.776 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 9.776 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.776 * [taylor]: Taking taylor expansion of N in N 9.776 * [backup-simplify]: Simplify 0 into 0 9.776 * [backup-simplify]: Simplify 1 into 1 9.777 * [backup-simplify]: Simplify (/ 1 1) into 1 9.777 * [backup-simplify]: Simplify (log 1) into 0 9.777 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.778 * [backup-simplify]: Simplify (* 1/6 (- (log N))) into (* -1/6 (log N)) 9.778 * [backup-simplify]: Simplify (exp (* -1/6 (log N))) into (pow N -1/6) 9.778 * [taylor]: Taking taylor expansion of (pow (+ N 1.0) 1/3) in N 9.778 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ N 1.0)))) in N 9.778 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ N 1.0))) in N 9.778 * [taylor]: Taking taylor expansion of 1/3 in N 9.778 * [backup-simplify]: Simplify 1/3 into 1/3 9.778 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 9.778 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 9.778 * [taylor]: Taking taylor expansion of N in N 9.778 * [backup-simplify]: Simplify 0 into 0 9.778 * [backup-simplify]: Simplify 1 into 1 9.778 * [taylor]: Taking taylor expansion of 1.0 in N 9.778 * [backup-simplify]: Simplify 1.0 into 1.0 9.779 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.779 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 9.780 * [backup-simplify]: Simplify (* 1/3 (log 1.0)) into (* 1/3 (log 1.0)) 9.781 * [backup-simplify]: Simplify (exp (* 1/3 (log 1.0))) into (pow 1.0 1/3) 9.782 * [backup-simplify]: Simplify (* (pow N -1/6) (pow 1.0 1/3)) into (* (pow (/ 1 N) 1/6) (pow 1.0 1/3)) 9.784 * [backup-simplify]: Simplify (* (pow (/ 1 N) 1/6) (pow 1.0 1/3)) into (* (pow (/ 1 N) 1/6) (pow 1.0 1/3)) 9.784 * [backup-simplify]: Simplify (+ 1 0) into 1 9.789 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 9.792 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (log 1.0))) into 0.3333333333333333 9.797 * [backup-simplify]: Simplify (* (exp (* 1/3 (log 1.0))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow 1.0 1/3)) 9.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.800 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 9.800 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.801 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (log N)))) into 0 9.802 * [backup-simplify]: Simplify (* (exp (* -1/6 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 9.804 * [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))) 9.804 * [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))) 9.805 * [backup-simplify]: Simplify (+ 0 0) into 0 9.816 * [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)) 9.820 * [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)))) 9.835 * [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))))) 9.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.837 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 9.838 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.838 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 9.839 * [backup-simplify]: Simplify (* (exp (* -1/6 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.843 * [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)))) 9.844 * [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)))) 9.847 * [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)))) 9.848 * [backup-simplify]: Simplify (cbrt (/ (+ 1.0 (/ 1 N)) (sqrt (/ 1 N)))) into (* (pow N 1/6) (pow (+ (/ 1 N) 1.0) 1/3)) 9.848 * [approximate]: Taking taylor expansion of (* (pow N 1/6) (pow (+ (/ 1 N) 1.0) 1/3)) in (N) around 0 9.848 * [taylor]: Taking taylor expansion of (* (pow N 1/6) (pow (+ (/ 1 N) 1.0) 1/3)) in N 9.848 * [taylor]: Taking taylor expansion of (pow N 1/6) in N 9.848 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log N))) in N 9.848 * [taylor]: Taking taylor expansion of (* 1/6 (log N)) in N 9.848 * [taylor]: Taking taylor expansion of 1/6 in N 9.848 * [backup-simplify]: Simplify 1/6 into 1/6 9.848 * [taylor]: Taking taylor expansion of (log N) in N 9.848 * [taylor]: Taking taylor expansion of N in N 9.848 * [backup-simplify]: Simplify 0 into 0 9.848 * [backup-simplify]: Simplify 1 into 1 9.848 * [backup-simplify]: Simplify (log 1) into 0 9.848 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 9.848 * [backup-simplify]: Simplify (* 1/6 (log N)) into (* 1/6 (log N)) 9.848 * [backup-simplify]: Simplify (exp (* 1/6 (log N))) into (pow N 1/6) 9.848 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 9.848 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 9.848 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 9.849 * [taylor]: Taking taylor expansion of 1/3 in N 9.849 * [backup-simplify]: Simplify 1/3 into 1/3 9.849 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 9.849 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 9.849 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.849 * [taylor]: Taking taylor expansion of N in N 9.849 * [backup-simplify]: Simplify 0 into 0 9.849 * [backup-simplify]: Simplify 1 into 1 9.849 * [backup-simplify]: Simplify (/ 1 1) into 1 9.849 * [taylor]: Taking taylor expansion of 1.0 in N 9.849 * [backup-simplify]: Simplify 1.0 into 1.0 9.849 * [backup-simplify]: Simplify (+ 1 0) into 1 9.849 * [backup-simplify]: Simplify (log 1) into 0 9.850 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.850 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 9.850 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 9.850 * [taylor]: Taking taylor expansion of (* (pow N 1/6) (pow (+ (/ 1 N) 1.0) 1/3)) in N 9.850 * [taylor]: Taking taylor expansion of (pow N 1/6) in N 9.850 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log N))) in N 9.850 * [taylor]: Taking taylor expansion of (* 1/6 (log N)) in N 9.850 * [taylor]: Taking taylor expansion of 1/6 in N 9.850 * [backup-simplify]: Simplify 1/6 into 1/6 9.850 * [taylor]: Taking taylor expansion of (log N) in N 9.850 * [taylor]: Taking taylor expansion of N in N 9.850 * [backup-simplify]: Simplify 0 into 0 9.850 * [backup-simplify]: Simplify 1 into 1 9.850 * [backup-simplify]: Simplify (log 1) into 0 9.851 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 9.851 * [backup-simplify]: Simplify (* 1/6 (log N)) into (* 1/6 (log N)) 9.851 * [backup-simplify]: Simplify (exp (* 1/6 (log N))) into (pow N 1/6) 9.851 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 N) 1.0) 1/3) in N 9.851 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1.0)))) in N 9.851 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1.0))) in N 9.851 * [taylor]: Taking taylor expansion of 1/3 in N 9.851 * [backup-simplify]: Simplify 1/3 into 1/3 9.851 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 9.851 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 9.851 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.851 * [taylor]: Taking taylor expansion of N in N 9.851 * [backup-simplify]: Simplify 0 into 0 9.851 * [backup-simplify]: Simplify 1 into 1 9.851 * [backup-simplify]: Simplify (/ 1 1) into 1 9.851 * [taylor]: Taking taylor expansion of 1.0 in N 9.851 * [backup-simplify]: Simplify 1.0 into 1.0 9.851 * [backup-simplify]: Simplify (+ 1 0) into 1 9.852 * [backup-simplify]: Simplify (log 1) into 0 9.852 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.852 * [backup-simplify]: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) 9.852 * [backup-simplify]: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) 9.852 * [backup-simplify]: Simplify (* (pow N 1/6) (pow N -1/3)) into (pow (/ 1 N) 1/6) 9.853 * [backup-simplify]: Simplify (pow (/ 1 N) 1/6) into (pow (/ 1 N) 1/6) 9.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.853 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.857 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 9.857 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.858 * [backup-simplify]: Simplify (+ (* 1/3 1.0) (* 0 (- (log N)))) into 0.3333333333333333 9.859 * [backup-simplify]: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 0.3333333333333333 1) 1)))) into (* 0.3333333333333333 (pow (/ 1 N) 1/3)) 9.860 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 9.860 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 9.861 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (log N))) into 0 9.861 * [backup-simplify]: Simplify (* (exp (* 1/6 (log N))) (+ (* (/ (pow 0 1) 1)))) into 0 9.861 * [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)) 9.862 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 1/6)) into (* 0.3333333333333333 (pow (/ 1 N) 1/6)) 9.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.863 * [backup-simplify]: Simplify (+ 0 0) into 0 9.876 * [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 9.876 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 9.877 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (+ (* 0 1.0) (* 0 (- (log N))))) into (- 0.16666666666666666) 9.883 * [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)) 9.886 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 9.887 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 9.888 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (log N)))) into 0 9.889 * [backup-simplify]: Simplify (* (exp (* 1/6 (log N))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 9.890 * [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))) 9.890 * [backup-simplify]: Simplify (- (* 0.1111111111111111 (pow (/ 1 N) 1/6))) into (- (* 0.1111111111111111 (pow (/ 1 N) 1/6))) 9.891 * [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))) 9.891 * [backup-simplify]: Simplify (cbrt (/ (+ 1.0 (/ 1 (- N))) (sqrt (/ 1 (- N))))) into (pow (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) 1/3) 9.891 * [approximate]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) 1/3) in (N) around 0 9.891 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) 1/3) in N 9.891 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))))) in N 9.891 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))))) in N 9.891 * [taylor]: Taking taylor expansion of 1/3 in N 9.891 * [backup-simplify]: Simplify 1/3 into 1/3 9.891 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))) in N 9.891 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) in N 9.892 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 9.892 * [taylor]: Taking taylor expansion of 1.0 in N 9.892 * [backup-simplify]: Simplify 1.0 into 1.0 9.892 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.892 * [taylor]: Taking taylor expansion of N in N 9.892 * [backup-simplify]: Simplify 0 into 0 9.892 * [backup-simplify]: Simplify 1 into 1 9.892 * [backup-simplify]: Simplify (/ 1 1) into 1 9.892 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 9.892 * [taylor]: Taking taylor expansion of (/ -1 N) in N 9.892 * [taylor]: Taking taylor expansion of -1 in N 9.892 * [backup-simplify]: Simplify -1 into -1 9.892 * [taylor]: Taking taylor expansion of N in N 9.892 * [backup-simplify]: Simplify 0 into 0 9.892 * [backup-simplify]: Simplify 1 into 1 9.893 * [backup-simplify]: Simplify (/ -1 1) into -1 9.893 * [backup-simplify]: Simplify (sqrt 0) into 0 9.895 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.895 * [backup-simplify]: Simplify (- 1) into -1 9.896 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.896 * [backup-simplify]: Simplify (/ -1 +nan.0) into +nan.0 9.896 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.897 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log +nan.0)) into (- (log +nan.0) (log N)) 9.898 * [backup-simplify]: Simplify (* 1/3 (- (log +nan.0) (log N))) into (* 1/3 (- (log +nan.0) (log N))) 9.898 * [backup-simplify]: Simplify (exp (* 1/3 (- (log +nan.0) (log N)))) into (exp (* 1/3 (- (log +nan.0) (log N)))) 9.898 * [taylor]: Taking taylor expansion of (pow (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) 1/3) in N 9.898 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))))) in N 9.898 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))))) in N 9.898 * [taylor]: Taking taylor expansion of 1/3 in N 9.898 * [backup-simplify]: Simplify 1/3 into 1/3 9.898 * [taylor]: Taking taylor expansion of (log (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N)))) in N 9.898 * [taylor]: Taking taylor expansion of (/ (- 1.0 (/ 1 N)) (sqrt (/ -1 N))) in N 9.899 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 9.899 * [taylor]: Taking taylor expansion of 1.0 in N 9.899 * [backup-simplify]: Simplify 1.0 into 1.0 9.899 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.899 * [taylor]: Taking taylor expansion of N in N 9.899 * [backup-simplify]: Simplify 0 into 0 9.899 * [backup-simplify]: Simplify 1 into 1 9.899 * [backup-simplify]: Simplify (/ 1 1) into 1 9.899 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 9.899 * [taylor]: Taking taylor expansion of (/ -1 N) in N 9.899 * [taylor]: Taking taylor expansion of -1 in N 9.899 * [backup-simplify]: Simplify -1 into -1 9.899 * [taylor]: Taking taylor expansion of N in N 9.899 * [backup-simplify]: Simplify 0 into 0 9.899 * [backup-simplify]: Simplify 1 into 1 9.900 * [backup-simplify]: Simplify (/ -1 1) into -1 9.900 * [backup-simplify]: Simplify (sqrt 0) into 0 9.901 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.907 * [backup-simplify]: Simplify (- 1) into -1 9.908 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.909 * [backup-simplify]: Simplify (/ -1 +nan.0) into +nan.0 9.909 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.910 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log +nan.0)) into (- (log +nan.0) (log N)) 9.910 * [backup-simplify]: Simplify (* 1/3 (- (log +nan.0) (log N))) into (* 1/3 (- (log +nan.0) (log N))) 9.910 * [backup-simplify]: Simplify (exp (* 1/3 (- (log +nan.0) (log N)))) into (exp (* 1/3 (- (log +nan.0) (log N)))) 9.911 * [backup-simplify]: Simplify (exp (* 1/3 (- (log +nan.0) (log N)))) into (exp (* 1/3 (- (log +nan.0) (log N)))) 9.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.911 * [backup-simplify]: Simplify (- 0) into 0 9.912 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.912 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.914 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.916 * [backup-simplify]: Simplify (- (/ 1.0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 9.920 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow +nan.0 1)))) 1) into +nan.0 9.921 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log +nan.0)) into (- (log +nan.0) (log N)) 9.921 * [backup-simplify]: Simplify (+ (* 1/3 +nan.0) (* 0 (- (log +nan.0) (log N)))) into (- +nan.0) 9.923 * [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))))) 9.924 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/3 (- (log +nan.0) (log N))))) into (* +nan.0 (exp (* 1/3 (- (log +nan.0) (log N))))) 9.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.925 * [backup-simplify]: Simplify (- 0) into 0 9.925 * [backup-simplify]: Simplify (+ 0 0) into 0 9.925 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.928 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.931 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 9.941 * [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 9.942 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log +nan.0)) into (- (log +nan.0) (log N)) 9.942 * [backup-simplify]: Simplify (+ (* 1/3 +nan.0) (+ (* 0 +nan.0) (* 0 (- (log +nan.0) (log N))))) into (- +nan.0) 9.947 * [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))))) 9.948 * [backup-simplify]: Simplify (* +nan.0 (exp (* 1/3 (- (log +nan.0) (log N))))) into (* +nan.0 (exp (* 1/3 (- (log +nan.0) (log N))))) 9.949 * [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))))) 9.949 * * * [progress]: simplifying candidates 9.959 * [simplify]: Simplifying: (expm1 (+ (- (log (sqrt N))) (log (* (* (cbrt (/ (+ 1.0 N) (sqrt N))) (cbrt (/ (+ 1.0 N) (sqrt N)))) (cbrt (/ (+ 1.0 N) (sqrt N))))))) (log1p (+ (- (log (sqrt N))) (log (* (* (cbrt (/ (+ 1.0 N) (sqrt N))) (cbrt (/ (+ 1.0 N) (sqrt N)))) (cbrt (/ (+ 1.0 N) (sqrt N))))))) (* (/ 1 (sqrt N)) (* (* (cbrt (/ (+ 1.0 N) (sqrt N))) (cbrt (/ (+ 1.0 N) (sqrt N)))) (cbrt (/ (+ 1.0 N) (sqrt N))))) (* (exp (- (log (sqrt N)))) (* (* (cbrt (/ (+ 1.0 N) (sqrt N))) (cbrt (/ (+ 1.0 N) (sqrt N)))) (cbrt (/ (+ 1.0 N) (sqrt N))))) (log (+ (- (log (sqrt N))) (log (* (* (cbrt (/ (+ 1.0 N) (sqrt N))) (cbrt (/ (+ 1.0 N) (sqrt N)))) (cbrt (/ (+ 1.0 N) (sqrt N))))))) (exp (+ (- (log (sqrt N))) (log (* (* (cbrt (/ (+ 1.0 N) (sqrt N))) (cbrt (/ (+ 1.0 N) (sqrt N)))) (cbrt (/ (+ 1.0 N) (sqrt N))))))) (* (cbrt (+ (- (log (sqrt N))) (log (* (* (cbrt (/ (+ 1.0 N) (sqrt N))) (cbrt (/ (+ 1.0 N) (sqrt N)))) (cbrt (/ (+ 1.0 N) (sqrt N))))))) (cbrt (+ (- (log (sqrt N))) (log (* (* (cbrt (/ (+ 1.0 N) (sqrt N))) (cbrt (/ (+ 1.0 N) (sqrt N)))) (cbrt (/ (+ 1.0 N) (sqrt N)))))))) (cbrt (+ (- (log (sqrt N))) (log (* (* (cbrt (/ (+ 1.0 N) (sqrt N))) (cbrt (/ (+ 1.0 N) (sqrt N)))) (cbrt (/ (+ 1.0 N) (sqrt N))))))) (* (* (+ (- (log (sqrt N))) (log (* (* (cbrt (/ (+ 1.0 N) (sqrt N))) (cbrt (/ (+ 1.0 N) (sqrt N)))) (cbrt (/ (+ 1.0 N) (sqrt N)))))) (+ (- (log (sqrt N))) (log (* (* (cbrt (/ (+ 1.0 N) (sqrt N))) (cbrt (/ (+ 1.0 N) (sqrt N)))) (cbrt (/ (+ 1.0 N) (sqrt N))))))) (+ (- (log (sqrt N))) (log (* (* (cbrt (/ (+ 1.0 N) (sqrt N))) (cbrt (/ (+ 1.0 N) (sqrt N)))) (cbrt (/ (+ 1.0 N) (sqrt N))))))) (sqrt (+ (- (log (sqrt N))) (log (* (* (cbrt (/ (+ 1.0 N) (sqrt N))) (cbrt (/ (+ 1.0 N) (sqrt N)))) (cbrt (/ (+ 1.0 N) (sqrt N))))))) (sqrt (+ (- (log (sqrt N))) (log (* (* (cbrt (/ (+ 1.0 N) (sqrt N))) (cbrt (/ (+ 1.0 N) (sqrt N)))) (cbrt (/ (+ 1.0 N) (sqrt N))))))) (+ (pow (- (log (sqrt N))) 3) (pow (log (* (* (cbrt (/ (+ 1.0 N) (sqrt N))) (cbrt (/ (+ 1.0 N) (sqrt N)))) (cbrt (/ (+ 1.0 N) (sqrt N))))) 3)) (+ (* (- (log (sqrt N))) (- (log (sqrt N)))) (- (* (log (* (* (cbrt (/ (+ 1.0 N) (sqrt N))) (cbrt (/ (+ 1.0 N) (sqrt N)))) (cbrt (/ (+ 1.0 N) (sqrt N))))) (log (* (* (cbrt (/ (+ 1.0 N) (sqrt N))) (cbrt (/ (+ 1.0 N) (sqrt N)))) (cbrt (/ (+ 1.0 N) (sqrt N)))))) (* (- (log (sqrt N))) (log (* (* (cbrt (/ (+ 1.0 N) (sqrt N))) (cbrt (/ (+ 1.0 N) (sqrt N)))) (cbrt (/ (+ 1.0 N) (sqrt N)))))))) (- (* (- (log (sqrt N))) (- (log (sqrt N)))) (* (log (* (* (cbrt (/ (+ 1.0 N) (sqrt N))) (cbrt (/ (+ 1.0 N) (sqrt N)))) (cbrt (/ (+ 1.0 N) (sqrt N))))) (log (* (* (cbrt (/ (+ 1.0 N) (sqrt N))) (cbrt (/ (+ 1.0 N) (sqrt N)))) (cbrt (/ (+ 1.0 N) (sqrt N))))))) (- (- (log (sqrt N))) (log (* (* (cbrt (/ (+ 1.0 N) (sqrt N))) (cbrt (/ (+ 1.0 N) (sqrt N)))) (cbrt (/ (+ 1.0 N) (sqrt N)))))) (+ (- (log (sqrt N))) (log (* (* (cbrt (/ (+ 1.0 N) (sqrt N))) (cbrt (/ (+ 1.0 N) (sqrt N)))) (cbrt (/ (+ 1.0 N) (sqrt N)))))) (+ (- (log (sqrt N))) (log (* (* (cbrt (/ (+ 1.0 N) (sqrt N))) (cbrt (/ (+ 1.0 N) (sqrt N)))) (cbrt (/ (+ 1.0 N) (sqrt N)))))) (+ (- (log (sqrt N))) (log (* (* (cbrt (/ (+ 1.0 N) (sqrt N))) (cbrt (/ (+ 1.0 N) (sqrt N)))) (cbrt (/ (+ 1.0 N) (sqrt N)))))) (+ (- (log (sqrt N))) (log (* (* (cbrt (/ (+ 1.0 N) (sqrt N))) (cbrt (/ (+ 1.0 N) (sqrt N)))) (cbrt (/ (+ 1.0 N) (sqrt N)))))) (+ (- (log (sqrt N))) (log (* (* (cbrt (/ (+ 1.0 N) (sqrt N))) (cbrt (/ (+ 1.0 N) (sqrt N)))) (cbrt (/ (+ 1.0 N) (sqrt N)))))) (+ (- (log (sqrt N))) (log (* (* 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inf + 758953 11.653 * * [simplify]: Extracting #9: cost 0 inf + 762213 11.837 * [simplify]: Simplified to: (expm1 (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N)))) (log1p (- (log (/ (+ N 1.0) (sqrt N))) (log (sqrt N)))) (/ (/ (+ 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))))) (fma (log (/ (+ N 1.0) (sqrt N))) (+ 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(/ (* +nan.0 (exp (* (- (log +nan.0) (log (/ -1 N))) 1/3))) (* N N)) (/ (* +nan.0 (exp (* (- (log +nan.0) (log (/ -1 N))) 1/3))) N))) (fma (cbrt 1.0) (fma 0.3333333333333333 (pow (pow N 5) 1/6) (pow (/ 1 N) 1/6)) (* (pow (pow N 11) 1/6) (- (* (cbrt 1.0) 0.05555555555555555) (* (cbrt (/ 1 (pow 1.0 5))) 1/6)))) (fma 0.3333333333333333 (pow (/ 1 (pow N 5)) 1/6) (- (pow N 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)) (/ (* +nan.0 (exp (* (- (log +nan.0) (log (/ -1 N))) 1/3))) N))) 11.879 * * * [progress]: adding candidates to table 13.461 * [progress]: [Phase 3 of 3] Extracting. 13.461 * * [regime]: Finding splitpoints for: (# # # # #) 13.463 * * * [regime-changes]: Trying 1 branch expressions: (N) 13.463 * * * * [regimes]: Trying to branch on N from (# # # # #) 13.545 * * * [regime]: Found split indices: #