21.204 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.089 * * * [progress]: [2/2] Setting up program. 0.093 * [progress]: [Phase 2 of 3] Improving. 0.093 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.094 * [simplify]: Simplifying: (- (log (+ N 1)) (log N)) 0.094 * * [simplify]: iteration 0: 6 enodes 0.096 * * [simplify]: iteration 1: 11 enodes 0.099 * * [simplify]: iteration 2: 13 enodes 0.102 * * [simplify]: iteration complete: 13 enodes 0.102 * * [simplify]: Extracting #0: cost 1 inf + 0 0.102 * * [simplify]: Extracting #1: cost 4 inf + 0 0.102 * * [simplify]: Extracting #2: cost 6 inf + 0 0.103 * * [simplify]: Extracting #3: cost 2 inf + 475 0.103 * * [simplify]: Extracting #4: cost 0 inf + 518 0.103 * [simplify]: Simplified to: (- (log1p N) (log N)) 0.129 * * [progress]: iteration 1 / 4 0.129 * * * [progress]: picking best candidate 0.134 * * * * [pick]: Picked # 0.134 * * * [progress]: localizing error 0.154 * * * [progress]: generating rewritten candidates 0.154 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.166 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.168 * * * [progress]: generating series expansions 0.168 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.169 * [backup-simplify]: Simplify (- (log1p N) (log N)) into (- (log1p N) (log N)) 0.169 * [approximate]: Taking taylor expansion of (- (log1p N) (log N)) in (N) around 0 0.169 * [taylor]: Taking taylor expansion of (- (log1p N) (log N)) in N 0.169 * [taylor]: Taking taylor expansion of (log1p N) in N 0.170 * [taylor]: Rewrote expression to (log (+ 1 N)) 0.170 * [taylor]: Taking taylor expansion of (+ 1 N) in N 0.170 * [taylor]: Taking taylor expansion of 1 in N 0.170 * [backup-simplify]: Simplify 1 into 1 0.170 * [taylor]: Taking taylor expansion of N in N 0.170 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify 1 into 1 0.172 * [backup-simplify]: Simplify (+ 1 0) into 1 0.172 * [backup-simplify]: Simplify (log 1) into 0 0.172 * [taylor]: Taking taylor expansion of (log N) in N 0.172 * [taylor]: Taking taylor expansion of N in N 0.172 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify 1 into 1 0.173 * [backup-simplify]: Simplify (log 1) into 0 0.173 * [taylor]: Taking taylor expansion of (- (log1p N) (log N)) in N 0.173 * [taylor]: Taking taylor expansion of (log1p N) in N 0.173 * [taylor]: Rewrote expression to (log (+ 1 N)) 0.173 * [taylor]: Taking taylor expansion of (+ 1 N) in N 0.173 * [taylor]: Taking taylor expansion of 1 in N 0.173 * [backup-simplify]: Simplify 1 into 1 0.173 * [taylor]: Taking taylor expansion of N in N 0.173 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify 1 into 1 0.174 * [backup-simplify]: Simplify (+ 1 0) into 1 0.174 * [backup-simplify]: Simplify (log 1) into 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 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.175 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.176 * [backup-simplify]: Simplify (+ 0 (- (log N))) into (- (log N)) 0.176 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.177 * [backup-simplify]: Simplify (+ 0 1) into 1 0.178 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.179 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.180 * [backup-simplify]: Simplify (- 0) into 0 0.180 * [backup-simplify]: Simplify (+ 1 0) into 1 0.180 * [backup-simplify]: Simplify 1 into 1 0.182 * [backup-simplify]: Simplify (+ 0 0) into 0 0.185 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.188 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.189 * [backup-simplify]: Simplify (- 0) into 0 0.189 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.189 * [backup-simplify]: Simplify -1/2 into -1/2 0.190 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 0.190 * [backup-simplify]: Simplify (- (log1p (/ 1 N)) (log (/ 1 N))) into (- (log1p (/ 1 N)) (log (/ 1 N))) 0.190 * [approximate]: Taking taylor expansion of (- (log1p (/ 1 N)) (log (/ 1 N))) in (N) around 0 0.190 * [taylor]: Taking taylor expansion of (- (log1p (/ 1 N)) (log (/ 1 N))) in N 0.190 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 0.190 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 0.190 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 0.190 * [taylor]: Taking taylor expansion of 1 in N 0.190 * [backup-simplify]: Simplify 1 into 1 0.190 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.190 * [taylor]: Taking taylor expansion of N in N 0.190 * [backup-simplify]: Simplify 0 into 0 0.190 * [backup-simplify]: Simplify 1 into 1 0.190 * [backup-simplify]: Simplify (/ 1 1) into 1 0.191 * [backup-simplify]: Simplify (+ 0 1) into 1 0.191 * [backup-simplify]: Simplify (log 1) into 0 0.191 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.191 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.191 * [taylor]: Taking taylor expansion of N in N 0.191 * [backup-simplify]: Simplify 0 into 0 0.191 * [backup-simplify]: Simplify 1 into 1 0.192 * [backup-simplify]: Simplify (/ 1 1) into 1 0.192 * [backup-simplify]: Simplify (log 1) into 0 0.192 * [taylor]: Taking taylor expansion of (- (log1p (/ 1 N)) (log (/ 1 N))) in N 0.192 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 0.192 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 0.192 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 0.192 * [taylor]: Taking taylor expansion of 1 in N 0.192 * [backup-simplify]: Simplify 1 into 1 0.192 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.193 * [taylor]: Taking taylor expansion of N in N 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify 1 into 1 0.193 * [backup-simplify]: Simplify (/ 1 1) into 1 0.193 * [backup-simplify]: Simplify (+ 0 1) into 1 0.194 * [backup-simplify]: Simplify (log 1) into 0 0.194 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.194 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.194 * [taylor]: Taking taylor expansion of N in N 0.194 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify 1 into 1 0.194 * [backup-simplify]: Simplify (/ 1 1) into 1 0.195 * [backup-simplify]: Simplify (log 1) into 0 0.195 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.196 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.196 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.196 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.196 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.197 * [backup-simplify]: Simplify (+ 1 0) into 1 0.198 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.201 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.201 * [backup-simplify]: Simplify (- 0) into 0 0.202 * [backup-simplify]: Simplify (+ 1 0) into 1 0.202 * [backup-simplify]: Simplify 1 into 1 0.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.203 * [backup-simplify]: Simplify (+ 0 0) into 0 0.206 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.210 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.210 * [backup-simplify]: Simplify (- 0) into 0 0.210 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.210 * [backup-simplify]: Simplify -1/2 into -1/2 0.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.212 * [backup-simplify]: Simplify (+ 0 0) into 0 0.217 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 0.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.224 * [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 0.224 * [backup-simplify]: Simplify (- 0) into 0 0.225 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 0.225 * [backup-simplify]: Simplify 1/3 into 1/3 0.225 * [backup-simplify]: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 0.225 * [backup-simplify]: Simplify (- (log1p (/ 1 (- N))) (log (/ 1 (- N)))) into (- (log1p (/ -1 N)) (log (/ -1 N))) 0.225 * [approximate]: Taking taylor expansion of (- (log1p (/ -1 N)) (log (/ -1 N))) in (N) around 0 0.225 * [taylor]: Taking taylor expansion of (- (log1p (/ -1 N)) (log (/ -1 N))) in N 0.226 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 0.226 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 0.226 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 0.226 * [taylor]: Taking taylor expansion of 1 in N 0.226 * [backup-simplify]: Simplify 1 into 1 0.226 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.226 * [taylor]: Taking taylor expansion of -1 in N 0.226 * [backup-simplify]: Simplify -1 into -1 0.226 * [taylor]: Taking taylor expansion of N in N 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify 1 into 1 0.226 * [backup-simplify]: Simplify (/ -1 1) into -1 0.227 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.227 * [backup-simplify]: Simplify (log -1) into (log -1) 0.227 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.227 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.227 * [taylor]: Taking taylor expansion of -1 in N 0.227 * [backup-simplify]: Simplify -1 into -1 0.227 * [taylor]: Taking taylor expansion of N in N 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify 1 into 1 0.228 * [backup-simplify]: Simplify (/ -1 1) into -1 0.228 * [backup-simplify]: Simplify (log -1) into (log -1) 0.228 * [taylor]: Taking taylor expansion of (- (log1p (/ -1 N)) (log (/ -1 N))) in N 0.228 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 0.228 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 0.228 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 0.228 * [taylor]: Taking taylor expansion of 1 in N 0.228 * [backup-simplify]: Simplify 1 into 1 0.228 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.228 * [taylor]: Taking taylor expansion of -1 in N 0.228 * [backup-simplify]: Simplify -1 into -1 0.228 * [taylor]: Taking taylor expansion of N in N 0.228 * [backup-simplify]: Simplify 0 into 0 0.228 * [backup-simplify]: Simplify 1 into 1 0.229 * [backup-simplify]: Simplify (/ -1 1) into -1 0.229 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.230 * [backup-simplify]: Simplify (log -1) into (log -1) 0.230 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.230 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.230 * [taylor]: Taking taylor expansion of -1 in N 0.230 * [backup-simplify]: Simplify -1 into -1 0.230 * [taylor]: Taking taylor expansion of N in N 0.230 * [backup-simplify]: Simplify 0 into 0 0.230 * [backup-simplify]: Simplify 1 into 1 0.230 * [backup-simplify]: Simplify (/ -1 1) into -1 0.231 * [backup-simplify]: Simplify (log -1) into (log -1) 0.231 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.232 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.233 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.233 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.234 * [backup-simplify]: Simplify 0 into 0 0.234 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.235 * [backup-simplify]: Simplify (+ 1 0) into 1 0.236 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.237 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.239 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.239 * [backup-simplify]: Simplify (- 0) into 0 0.240 * [backup-simplify]: Simplify (+ -1 0) into -1 0.240 * [backup-simplify]: Simplify -1 into -1 0.241 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.242 * [backup-simplify]: Simplify (+ 0 0) into 0 0.246 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 0.247 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.252 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.252 * [backup-simplify]: Simplify (- 0) into 0 0.252 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.252 * [backup-simplify]: Simplify -1/2 into -1/2 0.254 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.254 * [backup-simplify]: Simplify (+ 0 0) into 0 0.259 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -1/3 0.259 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.262 * [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 0.263 * [backup-simplify]: Simplify (- 0) into 0 0.263 * [backup-simplify]: Simplify (+ -1/3 0) into -1/3 0.263 * [backup-simplify]: Simplify -1/3 into -1/3 0.263 * [backup-simplify]: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N))))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 0.263 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.263 * [backup-simplify]: Simplify (log1p N) into (log1p N) 0.263 * [approximate]: Taking taylor expansion of (log1p N) in (N) around 0 0.263 * [taylor]: Taking taylor expansion of (log1p N) in N 0.263 * [taylor]: Rewrote expression to (log (+ 1 N)) 0.263 * [taylor]: Taking taylor expansion of (+ 1 N) in N 0.263 * [taylor]: Taking taylor expansion of 1 in N 0.263 * [backup-simplify]: Simplify 1 into 1 0.263 * [taylor]: Taking taylor expansion of N in N 0.263 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify 1 into 1 0.264 * [backup-simplify]: Simplify (+ 1 0) into 1 0.264 * [backup-simplify]: Simplify (log 1) into 0 0.264 * [taylor]: Taking taylor expansion of (log1p N) in N 0.264 * [taylor]: Rewrote expression to (log (+ 1 N)) 0.264 * [taylor]: Taking taylor expansion of (+ 1 N) in N 0.264 * [taylor]: Taking taylor expansion of 1 in N 0.264 * [backup-simplify]: Simplify 1 into 1 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 0.264 * [backup-simplify]: Simplify (+ 1 0) into 1 0.265 * [backup-simplify]: Simplify (log 1) into 0 0.265 * [backup-simplify]: Simplify 0 into 0 0.265 * [backup-simplify]: Simplify (+ 0 1) into 1 0.266 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.266 * [backup-simplify]: Simplify 1 into 1 0.266 * [backup-simplify]: Simplify (+ 0 0) into 0 0.273 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.273 * [backup-simplify]: Simplify -1/2 into -1/2 0.274 * [backup-simplify]: Simplify (+ 0 0) into 0 0.277 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 0.277 * [backup-simplify]: Simplify 1/3 into 1/3 0.277 * [backup-simplify]: Simplify (+ (* 1/3 (pow N 3)) (+ (* -1/2 (pow N 2)) (* 1 N))) into (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) 0.278 * [backup-simplify]: Simplify (log1p (/ 1 N)) into (log1p (/ 1 N)) 0.278 * [approximate]: Taking taylor expansion of (log1p (/ 1 N)) in (N) around 0 0.278 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 0.278 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 0.278 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 0.278 * [taylor]: Taking taylor expansion of 1 in N 0.278 * [backup-simplify]: Simplify 1 into 1 0.278 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.278 * [taylor]: Taking taylor expansion of N in N 0.278 * [backup-simplify]: Simplify 0 into 0 0.278 * [backup-simplify]: Simplify 1 into 1 0.278 * [backup-simplify]: Simplify (/ 1 1) into 1 0.279 * [backup-simplify]: Simplify (+ 0 1) into 1 0.279 * [backup-simplify]: Simplify (log 1) into 0 0.279 * [taylor]: Taking taylor expansion of (log1p (/ 1 N)) in N 0.279 * [taylor]: Rewrote expression to (log (+ 1 (/ 1 N))) 0.279 * [taylor]: Taking taylor expansion of (+ 1 (/ 1 N)) in N 0.279 * [taylor]: Taking taylor expansion of 1 in N 0.279 * [backup-simplify]: Simplify 1 into 1 0.279 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.279 * [taylor]: Taking taylor expansion of N in N 0.279 * [backup-simplify]: Simplify 0 into 0 0.279 * [backup-simplify]: Simplify 1 into 1 0.279 * [backup-simplify]: Simplify (/ 1 1) into 1 0.280 * [backup-simplify]: Simplify (+ 0 1) into 1 0.280 * [backup-simplify]: Simplify (log 1) into 0 0.280 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.280 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.281 * [backup-simplify]: Simplify (+ 1 0) into 1 0.282 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.282 * [backup-simplify]: Simplify 1 into 1 0.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.283 * [backup-simplify]: Simplify (+ 0 0) into 0 0.285 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.285 * [backup-simplify]: Simplify -1/2 into -1/2 0.285 * [backup-simplify]: Simplify (+ (* -1/2 (pow (/ 1 N) 2)) (+ (* 1 (/ 1 N)) (- (log (/ 1 N))))) into (- (/ 1 N) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ 1 N)))) 0.285 * [backup-simplify]: Simplify (log1p (/ 1 (- N))) into (log1p (/ -1 N)) 0.285 * [approximate]: Taking taylor expansion of (log1p (/ -1 N)) in (N) around 0 0.285 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 0.285 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 0.285 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 0.285 * [taylor]: Taking taylor expansion of 1 in N 0.285 * [backup-simplify]: Simplify 1 into 1 0.285 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.285 * [taylor]: Taking taylor expansion of -1 in N 0.285 * [backup-simplify]: Simplify -1 into -1 0.285 * [taylor]: Taking taylor expansion of N in N 0.285 * [backup-simplify]: Simplify 0 into 0 0.285 * [backup-simplify]: Simplify 1 into 1 0.285 * [backup-simplify]: Simplify (/ -1 1) into -1 0.286 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.286 * [backup-simplify]: Simplify (log -1) into (log -1) 0.286 * [taylor]: Taking taylor expansion of (log1p (/ -1 N)) in N 0.286 * [taylor]: Rewrote expression to (log (+ 1 (/ -1 N))) 0.286 * [taylor]: Taking taylor expansion of (+ 1 (/ -1 N)) in N 0.286 * [taylor]: Taking taylor expansion of 1 in N 0.286 * [backup-simplify]: Simplify 1 into 1 0.286 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.286 * [taylor]: Taking taylor expansion of -1 in N 0.286 * [backup-simplify]: Simplify -1 into -1 0.286 * [taylor]: Taking taylor expansion of N in N 0.286 * [backup-simplify]: Simplify 0 into 0 0.286 * [backup-simplify]: Simplify 1 into 1 0.287 * [backup-simplify]: Simplify (/ -1 1) into -1 0.287 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.287 * [backup-simplify]: Simplify (log -1) into (log -1) 0.288 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.288 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.289 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.289 * [backup-simplify]: Simplify (+ 1 0) into 1 0.290 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.290 * [backup-simplify]: Simplify -1 into -1 0.290 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.291 * [backup-simplify]: Simplify (+ 0 0) into 0 0.292 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 0.292 * [backup-simplify]: Simplify -1/2 into -1/2 0.293 * [backup-simplify]: Simplify (+ (* -1/2 (pow (/ 1 (- N)) 2)) (+ (* -1 (/ 1 (- N))) (- (log -1) (log (/ 1 (- N)))))) into (- (+ (/ 1 N) (log -1)) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ -1 N)))) 0.293 * * * [progress]: simplifying candidates 0.293 * * * * [progress]: [ 1 / 55 ] simplifiying candidate # 0.293 * * * * [progress]: [ 2 / 55 ] simplifiying candidate # 0.293 * * * * [progress]: [ 3 / 55 ] simplifiying candidate # 0.293 * * * * [progress]: [ 4 / 55 ] simplifiying candidate # 0.293 * * * * [progress]: [ 5 / 55 ] simplifiying candidate # 0.293 * * * * [progress]: [ 6 / 55 ] simplifiying candidate # 0.293 * * * * [progress]: [ 7 / 55 ] simplifiying candidate # 0.293 * * * * [progress]: [ 8 / 55 ] simplifiying candidate # 0.293 * * * * [progress]: [ 9 / 55 ] simplifiying candidate # 0.293 * * * * [progress]: [ 10 / 55 ] simplifiying candidate # 0.293 * * * * [progress]: [ 11 / 55 ] simplifiying candidate # 0.293 * * * * [progress]: [ 12 / 55 ] simplifiying candidate # 0.293 * * * * [progress]: [ 13 / 55 ] simplifiying candidate # 0.294 * * * * [progress]: [ 14 / 55 ] simplifiying candidate # 0.294 * * * * [progress]: [ 15 / 55 ] simplifiying candidate # 0.294 * * * * [progress]: [ 16 / 55 ] simplifiying candidate # 0.294 * * * * [progress]: [ 17 / 55 ] simplifiying candidate # 0.294 * * * * [progress]: [ 18 / 55 ] simplifiying candidate # 0.294 * * * * [progress]: [ 19 / 55 ] simplifiying candidate # 0.294 * * * * [progress]: [ 20 / 55 ] simplifiying candidate # 0.294 * * * * [progress]: [ 21 / 55 ] simplifiying candidate # 0.294 * * * * [progress]: [ 22 / 55 ] simplifiying candidate # 0.294 * * * * [progress]: [ 23 / 55 ] simplifiying candidate # 0.294 * * * * [progress]: [ 24 / 55 ] simplifiying candidate # 0.294 * * * * [progress]: [ 25 / 55 ] simplifiying candidate # 0.294 * * * * [progress]: [ 26 / 55 ] simplifiying candidate # 0.294 * * * * [progress]: [ 27 / 55 ] simplifiying candidate # 0.294 * * * * [progress]: [ 28 / 55 ] simplifiying candidate # 0.294 * * * * [progress]: [ 29 / 55 ] simplifiying candidate # 0.294 * * * * [progress]: [ 30 / 55 ] simplifiying candidate # 0.294 * * * * [progress]: [ 31 / 55 ] simplifiying candidate # 0.294 * * * * [progress]: [ 32 / 55 ] simplifiying candidate # 0.294 * * * * [progress]: [ 33 / 55 ] simplifiying candidate # 0.294 * * * * [progress]: [ 34 / 55 ] simplifiying candidate # 0.294 * * * * [progress]: [ 35 / 55 ] simplifiying candidate # 0.294 * * * * [progress]: [ 36 / 55 ] simplifiying candidate # 0.294 * * * * [progress]: [ 37 / 55 ] simplifiying candidate #real (real->posit16 (- (log1p N) (log N)))))> 0.294 * * * * [progress]: [ 38 / 55 ] simplifiying candidate # 0.294 * * * * [progress]: [ 39 / 55 ] simplifiying candidate # 0.294 * * * * [progress]: [ 40 / 55 ] simplifiying candidate # 0.294 * * * * [progress]: [ 41 / 55 ] simplifiying candidate # 0.294 * * * * [progress]: [ 42 / 55 ] simplifiying candidate # 0.295 * * * * [progress]: [ 43 / 55 ] simplifiying candidate # 0.295 * * * * [progress]: [ 44 / 55 ] simplifiying candidate # 0.295 * * * * [progress]: [ 45 / 55 ] simplifiying candidate # 0.295 * * * * [progress]: [ 46 / 55 ] simplifiying candidate # 0.295 * * * * [progress]: [ 47 / 55 ] simplifiying candidate # 0.295 * * * * [progress]: [ 48 / 55 ] simplifiying candidate # 0.295 * * * * [progress]: [ 49 / 55 ] simplifiying candidate #real (real->posit16 (log1p N))) (log N)))> 0.295 * * * * [progress]: [ 50 / 55 ] simplifiying candidate # 0.295 * * * * [progress]: [ 51 / 55 ] simplifiying candidate # 0.295 * * * * [progress]: [ 52 / 55 ] simplifiying candidate # 0.295 * * * * [progress]: [ 53 / 55 ] simplifiying candidate # 0.295 * * * * [progress]: [ 54 / 55 ] simplifiying candidate # 0.295 * * * * [progress]: [ 55 / 55 ] simplifiying candidate # 0.296 * [simplify]: Simplifying: (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N)) (- (* (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 (log1p N)) (cbrt (log1p N))) (cbrt (log1p N)) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (* (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 (log1p N)) (sqrt (log1p N)) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (sqrt (log1p N)) (sqrt (log1p N)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log1p N) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log1p N) (- (* (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 (log1p N) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma 1 (log1p N) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (expm1 (- (log1p N) (log N))) (log1p (- (log1p N) (log N))) (- (log N)) (- (log N)) (- (log N)) (/ (+ 1 N) N) (/ (exp (log1p N)) N) (log (- (log1p N) (log N))) (exp (- (log1p N) (log N))) (* (cbrt (- (log1p N) (log N))) (cbrt (- (log1p N) (log N)))) (cbrt (- (log1p N) (log N))) (* (* (- (log1p N) (log N)) (- (log1p N) (log N))) (- (log1p N) (log N))) (sqrt (- (log1p N) (log N))) (sqrt (- (log1p N) (log N))) (- (pow (log1p N) 3) (pow (log N) 3)) (+ (* (log1p N) (log1p N)) (+ (* (log N) (log N)) (* (log1p N) (log N)))) (- (log N)) (- (* (log1p N) (log1p N)) (* (log N) (log N))) (+ (log1p N) (log N)) (+ (sqrt (log1p N)) (sqrt (log N))) (- (sqrt (log1p N)) (sqrt (log N))) (- (log1p N) (log N)) (- (log1p N) (log N)) (- (log1p N) (log (* (cbrt N) (cbrt N)))) (- (log1p N) (log (sqrt N))) (- (log1p N) (log 1)) (- (log N)) (real->posit16 (- (log1p N) (log N))) (+ 1 N) (expm1 (log1p N)) (log1p (log1p N)) (log (log1p N)) (exp (log1p N)) (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N)) (* (* (log1p N) (log1p N)) (log1p N)) (sqrt (log1p N)) (sqrt (log1p N)) (real->posit16 (log1p N)) (- N (+ (log N) (* 1/2 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) (- (+ N (* 1/3 (pow N 3))) (* 1/2 (pow N 2))) (- (/ 1 N) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (/ 1 N) (log -1)) (+ (* 1/2 (/ 1 (pow N 2))) (log (/ -1 N)))) 0.296 * * [simplify]: iteration 0: 101 enodes 0.322 * * [simplify]: iteration 1: 231 enodes 0.411 * * [simplify]: iteration 2: 580 enodes 0.749 * * [simplify]: iteration 3: 1723 enodes 2.340 * * [simplify]: iteration complete: 5001 enodes 2.341 * * [simplify]: Extracting #0: cost 37 inf + 0 2.342 * * [simplify]: Extracting #1: cost 360 inf + 2 2.351 * * [simplify]: Extracting #2: cost 1019 inf + 8371 2.386 * * [simplify]: Extracting #3: cost 652 inf + 99566 2.461 * * [simplify]: Extracting #4: cost 169 inf + 237362 2.540 * * [simplify]: Extracting #5: cost 16 inf + 290383 2.614 * * [simplify]: Extracting #6: cost 0 inf + 294440 2.677 * [simplify]: Simplified to: (- (log1p N) (log N)) 0 (- (log1p N) (log N)) 0 (- (log1p N) (log N)) 0 (- (log1p N) (log N)) 0 (- (log1p N) (log N)) 0 (- (log1p N) (log N)) 0 (- (log1p N) (log N)) 0 (- (log1p N) (log N)) 0 (- (log1p N) (log N)) 0 (- (log1p N) (log N)) 0 (- (log1p N) (log N)) 0 (- (log1p N) (log N)) 0 (expm1 (- (log1p N) (log N))) (log1p (- (log1p N) (log N))) (- (log N)) (- (log N)) (- (log N)) (/ (+ 1 N) N) (/ (exp (log1p N)) N) (log (- (log1p N) (log N))) (/ (exp (log1p N)) N) (* (cbrt (- (log1p N) (log N))) (cbrt (- (log1p N) (log N)))) (cbrt (- (log1p N) (log N))) (* (* (- (log1p N) (log N)) (- (log1p N) (log N))) (- (log1p N) (log N))) (sqrt (- (log1p N) (log N))) (sqrt (- (log1p N) (log N))) (- (* (* (log1p N) (log1p N)) (log1p N)) (* (* (log N) (log N)) (log N))) (fma (log N) (+ (log N) (log1p N)) (* (log1p N) (log1p N))) (- (log N)) (- (* (log1p N) (log1p N)) (* (log N) (log N))) (+ (log N) (log1p N)) (+ (sqrt (log N)) (sqrt (log1p N))) (- (sqrt (log1p N)) (sqrt (log N))) (- (log1p N) (log N)) (- (log1p N) (log N)) (fma -2 (log (cbrt N)) (log1p N)) (- (log1p N) (log (sqrt N))) (log1p N) (- (log N)) (real->posit16 (- (log1p N) (log N))) (+ 1 N) N (log1p (log1p N)) (log (log1p N)) (exp (log1p N)) (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N)) (* (* (log1p N) (log1p N)) (log1p N)) (sqrt (log1p N)) (sqrt (log1p N)) (real->posit16 (log1p N)) (- N (fma (* N N) 1/2 (log N))) (fma 1/3 (/ (/ (/ 1 N) N) N) (fma -1/2 (/ (/ 1 N) N) (/ 1 N))) (fma 1/3 (/ (/ (/ 1 N) N) N) (fma -1/2 (/ (/ 1 N) N) (/ 1 N))) (fma N (* N (- (* N 1/3) 1/2)) N) (+ (fma -1/2 (/ (/ 1 N) N) (/ 1 N)) (log N)) (+ (+ (/ 1 N) (log N)) (/ -1/2 (* N N))) 2.681 * * * [progress]: adding candidates to table 2.856 * * [progress]: iteration 2 / 4 2.856 * * * [progress]: picking best candidate 2.870 * * * * [pick]: Picked # 2.870 * * * [progress]: localizing error 2.882 * * * [progress]: generating rewritten candidates 2.882 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 2.885 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 2.900 * * * [progress]: generating series expansions 2.900 * * * * [progress]: [ 1 / 2 ] generating series at (2) 2.900 * [backup-simplify]: Simplify (log (/ (+ 1 N) N)) into (log (/ (+ N 1) N)) 2.900 * [approximate]: Taking taylor expansion of (log (/ (+ N 1) N)) in (N) around 0 2.900 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 2.900 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 2.900 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.900 * [taylor]: Taking taylor expansion of N in N 2.900 * [backup-simplify]: Simplify 0 into 0 2.900 * [backup-simplify]: Simplify 1 into 1 2.900 * [taylor]: Taking taylor expansion of 1 in N 2.900 * [backup-simplify]: Simplify 1 into 1 2.900 * [taylor]: Taking taylor expansion of N in N 2.901 * [backup-simplify]: Simplify 0 into 0 2.901 * [backup-simplify]: Simplify 1 into 1 2.901 * [backup-simplify]: Simplify (+ 0 1) into 1 2.901 * [backup-simplify]: Simplify (/ 1 1) into 1 2.901 * [backup-simplify]: Simplify (log 1) into 0 2.902 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 2.902 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 2.902 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.902 * [taylor]: Taking taylor expansion of N in N 2.902 * [backup-simplify]: Simplify 0 into 0 2.902 * [backup-simplify]: Simplify 1 into 1 2.902 * [taylor]: Taking taylor expansion of 1 in N 2.902 * [backup-simplify]: Simplify 1 into 1 2.902 * [taylor]: Taking taylor expansion of N in N 2.902 * [backup-simplify]: Simplify 0 into 0 2.902 * [backup-simplify]: Simplify 1 into 1 2.902 * [backup-simplify]: Simplify (+ 0 1) into 1 2.902 * [backup-simplify]: Simplify (/ 1 1) into 1 2.902 * [backup-simplify]: Simplify (log 1) into 0 2.903 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 2.903 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 2.903 * [backup-simplify]: Simplify (+ 1 0) into 1 2.904 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 2.904 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.904 * [backup-simplify]: Simplify 1 into 1 2.905 * [backup-simplify]: Simplify (+ 0 0) into 0 2.905 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 2.908 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.908 * [backup-simplify]: Simplify -1/2 into -1/2 2.909 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 2.909 * [backup-simplify]: Simplify (log (/ (+ 1 (/ 1 N)) (/ 1 N))) into (log (* N (+ (/ 1 N) 1))) 2.909 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in (N) around 0 2.909 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 2.909 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 2.909 * [taylor]: Taking taylor expansion of N in N 2.909 * [backup-simplify]: Simplify 0 into 0 2.909 * [backup-simplify]: Simplify 1 into 1 2.909 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.909 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.909 * [taylor]: Taking taylor expansion of N in N 2.909 * [backup-simplify]: Simplify 0 into 0 2.909 * [backup-simplify]: Simplify 1 into 1 2.910 * [backup-simplify]: Simplify (/ 1 1) into 1 2.910 * [taylor]: Taking taylor expansion of 1 in N 2.910 * [backup-simplify]: Simplify 1 into 1 2.910 * [backup-simplify]: Simplify (+ 1 0) into 1 2.910 * [backup-simplify]: Simplify (* 0 1) into 0 2.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.912 * [backup-simplify]: Simplify (+ 0 1) into 1 2.912 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 2.912 * [backup-simplify]: Simplify (log 1) into 0 2.913 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 2.913 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 2.913 * [taylor]: Taking taylor expansion of N in N 2.913 * [backup-simplify]: Simplify 0 into 0 2.913 * [backup-simplify]: Simplify 1 into 1 2.913 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.913 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.913 * [taylor]: Taking taylor expansion of N in N 2.913 * [backup-simplify]: Simplify 0 into 0 2.913 * [backup-simplify]: Simplify 1 into 1 2.913 * [backup-simplify]: Simplify (/ 1 1) into 1 2.913 * [taylor]: Taking taylor expansion of 1 in N 2.913 * [backup-simplify]: Simplify 1 into 1 2.914 * [backup-simplify]: Simplify (+ 1 0) into 1 2.914 * [backup-simplify]: Simplify (* 0 1) into 0 2.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.915 * [backup-simplify]: Simplify (+ 0 1) into 1 2.916 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 2.916 * [backup-simplify]: Simplify (log 1) into 0 2.916 * [backup-simplify]: Simplify 0 into 0 2.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.918 * [backup-simplify]: Simplify (+ 0 0) into 0 2.919 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 2.920 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 2.920 * [backup-simplify]: Simplify 1 into 1 2.921 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.921 * [backup-simplify]: Simplify (+ 0 0) into 0 2.922 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 2.929 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.930 * [backup-simplify]: Simplify -1/2 into -1/2 2.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.931 * [backup-simplify]: Simplify (+ 0 0) into 0 2.932 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 2.937 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 2.937 * [backup-simplify]: Simplify 1/3 into 1/3 2.937 * [backup-simplify]: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 2.938 * [backup-simplify]: Simplify (log (/ (+ 1 (/ 1 (- N))) (/ 1 (- N)))) into (log (* -1 (* N (- 1 (/ 1 N))))) 2.938 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 2.938 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 2.938 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 2.938 * [taylor]: Taking taylor expansion of -1 in N 2.938 * [backup-simplify]: Simplify -1 into -1 2.938 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 2.938 * [taylor]: Taking taylor expansion of N in N 2.938 * [backup-simplify]: Simplify 0 into 0 2.938 * [backup-simplify]: Simplify 1 into 1 2.938 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 2.938 * [taylor]: Taking taylor expansion of 1 in N 2.938 * [backup-simplify]: Simplify 1 into 1 2.938 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.938 * [taylor]: Taking taylor expansion of N in N 2.938 * [backup-simplify]: Simplify 0 into 0 2.938 * [backup-simplify]: Simplify 1 into 1 2.939 * [backup-simplify]: Simplify (/ 1 1) into 1 2.939 * [backup-simplify]: Simplify (- 1) into -1 2.940 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.940 * [backup-simplify]: Simplify (* 0 -1) into 0 2.941 * [backup-simplify]: Simplify (* -1 0) into 0 2.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.942 * [backup-simplify]: Simplify (- 0) into 0 2.942 * [backup-simplify]: Simplify (+ 1 0) into 1 2.943 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 2.944 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 2.944 * [backup-simplify]: Simplify (log 1) into 0 2.944 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 2.944 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 2.944 * [taylor]: Taking taylor expansion of -1 in N 2.944 * [backup-simplify]: Simplify -1 into -1 2.944 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 2.944 * [taylor]: Taking taylor expansion of N in N 2.944 * [backup-simplify]: Simplify 0 into 0 2.944 * [backup-simplify]: Simplify 1 into 1 2.944 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 2.944 * [taylor]: Taking taylor expansion of 1 in N 2.944 * [backup-simplify]: Simplify 1 into 1 2.944 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.944 * [taylor]: Taking taylor expansion of N in N 2.944 * [backup-simplify]: Simplify 0 into 0 2.944 * [backup-simplify]: Simplify 1 into 1 2.945 * [backup-simplify]: Simplify (/ 1 1) into 1 2.945 * [backup-simplify]: Simplify (- 1) into -1 2.946 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.946 * [backup-simplify]: Simplify (* 0 -1) into 0 2.947 * [backup-simplify]: Simplify (* -1 0) into 0 2.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.948 * [backup-simplify]: Simplify (- 0) into 0 2.948 * [backup-simplify]: Simplify (+ 1 0) into 1 2.949 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 2.949 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 2.950 * [backup-simplify]: Simplify (log 1) into 0 2.950 * [backup-simplify]: Simplify 0 into 0 2.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.951 * [backup-simplify]: Simplify (- 0) into 0 2.952 * [backup-simplify]: Simplify (+ 0 0) into 0 2.953 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 2.954 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 2.955 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 2.955 * [backup-simplify]: Simplify -1 into -1 2.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.956 * [backup-simplify]: Simplify (- 0) into 0 2.957 * [backup-simplify]: Simplify (+ 0 0) into 0 2.958 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 2.960 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 2.962 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 2.962 * [backup-simplify]: Simplify -1/2 into -1/2 2.964 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.964 * [backup-simplify]: Simplify (- 0) into 0 2.965 * [backup-simplify]: Simplify (+ 0 0) into 0 2.966 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 2.968 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 2.973 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into -1/3 2.973 * [backup-simplify]: Simplify -1/3 into -1/3 2.974 * [backup-simplify]: Simplify (+ (* -1/3 (pow (/ 1 (- N)) 3)) (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N))))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) 2.974 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 2.974 * [backup-simplify]: Simplify (/ (+ 1 N) N) into (/ (+ N 1) N) 2.974 * [approximate]: Taking taylor expansion of (/ (+ N 1) N) in (N) around 0 2.974 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 2.974 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.974 * [taylor]: Taking taylor expansion of N in N 2.974 * [backup-simplify]: Simplify 0 into 0 2.974 * [backup-simplify]: Simplify 1 into 1 2.974 * [taylor]: Taking taylor expansion of 1 in N 2.974 * [backup-simplify]: Simplify 1 into 1 2.974 * [taylor]: Taking taylor expansion of N in N 2.974 * [backup-simplify]: Simplify 0 into 0 2.974 * [backup-simplify]: Simplify 1 into 1 2.975 * [backup-simplify]: Simplify (+ 0 1) into 1 2.975 * [backup-simplify]: Simplify (/ 1 1) into 1 2.975 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 2.975 * [taylor]: Taking taylor expansion of (+ N 1) in N 2.975 * [taylor]: Taking taylor expansion of N in N 2.976 * [backup-simplify]: Simplify 0 into 0 2.976 * [backup-simplify]: Simplify 1 into 1 2.976 * [taylor]: Taking taylor expansion of 1 in N 2.976 * [backup-simplify]: Simplify 1 into 1 2.976 * [taylor]: Taking taylor expansion of N in N 2.976 * [backup-simplify]: Simplify 0 into 0 2.976 * [backup-simplify]: Simplify 1 into 1 2.976 * [backup-simplify]: Simplify (+ 0 1) into 1 2.977 * [backup-simplify]: Simplify (/ 1 1) into 1 2.977 * [backup-simplify]: Simplify 1 into 1 2.977 * [backup-simplify]: Simplify (+ 1 0) into 1 2.978 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 2.979 * [backup-simplify]: Simplify 1 into 1 2.979 * [backup-simplify]: Simplify (+ 0 0) into 0 2.980 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 2.980 * [backup-simplify]: Simplify 0 into 0 2.980 * [backup-simplify]: Simplify (+ 0 0) into 0 2.982 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.982 * [backup-simplify]: Simplify 0 into 0 2.982 * [backup-simplify]: Simplify (+ 0 0) into 0 2.983 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.983 * [backup-simplify]: Simplify 0 into 0 2.984 * [backup-simplify]: Simplify (+ 0 0) into 0 2.985 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.986 * [backup-simplify]: Simplify 0 into 0 2.986 * [backup-simplify]: Simplify (+ 0 0) into 0 2.987 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.987 * [backup-simplify]: Simplify 0 into 0 2.988 * [backup-simplify]: Simplify (+ 0 0) into 0 2.989 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.989 * [backup-simplify]: Simplify 0 into 0 2.989 * [backup-simplify]: Simplify (+ 1 (* 1 (/ 1 N))) into (+ (/ 1 N) 1) 2.989 * [backup-simplify]: Simplify (/ (+ 1 (/ 1 N)) (/ 1 N)) into (* N (+ (/ 1 N) 1)) 2.989 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in (N) around 0 2.989 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 2.989 * [taylor]: Taking taylor expansion of N in N 2.989 * [backup-simplify]: Simplify 0 into 0 2.989 * [backup-simplify]: Simplify 1 into 1 2.989 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.989 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.989 * [taylor]: Taking taylor expansion of N in N 2.989 * [backup-simplify]: Simplify 0 into 0 2.989 * [backup-simplify]: Simplify 1 into 1 2.990 * [backup-simplify]: Simplify (/ 1 1) into 1 2.990 * [taylor]: Taking taylor expansion of 1 in N 2.990 * [backup-simplify]: Simplify 1 into 1 2.990 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 2.990 * [taylor]: Taking taylor expansion of N in N 2.990 * [backup-simplify]: Simplify 0 into 0 2.990 * [backup-simplify]: Simplify 1 into 1 2.990 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 2.990 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.990 * [taylor]: Taking taylor expansion of N in N 2.990 * [backup-simplify]: Simplify 0 into 0 2.990 * [backup-simplify]: Simplify 1 into 1 2.991 * [backup-simplify]: Simplify (/ 1 1) into 1 2.991 * [taylor]: Taking taylor expansion of 1 in N 2.991 * [backup-simplify]: Simplify 1 into 1 2.991 * [backup-simplify]: Simplify (+ 1 0) into 1 2.992 * [backup-simplify]: Simplify (* 0 1) into 0 2.992 * [backup-simplify]: Simplify 0 into 0 2.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.993 * [backup-simplify]: Simplify (+ 0 1) into 1 2.994 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 2.994 * [backup-simplify]: Simplify 1 into 1 2.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.995 * [backup-simplify]: Simplify (+ 0 0) into 0 2.996 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 2.996 * [backup-simplify]: Simplify 1 into 1 2.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.998 * [backup-simplify]: Simplify (+ 0 0) into 0 2.999 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 2.999 * [backup-simplify]: Simplify 0 into 0 3.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.001 * [backup-simplify]: Simplify (+ 0 0) into 0 3.002 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 3.002 * [backup-simplify]: Simplify 0 into 0 3.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.004 * [backup-simplify]: Simplify (+ 0 0) into 0 3.006 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))) into 0 3.006 * [backup-simplify]: Simplify 0 into 0 3.007 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.007 * [backup-simplify]: Simplify (+ 0 0) into 0 3.009 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))) into 0 3.009 * [backup-simplify]: Simplify 0 into 0 3.010 * [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 3.010 * [backup-simplify]: Simplify (+ 0 0) into 0 3.012 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))))) into 0 3.012 * [backup-simplify]: Simplify 0 into 0 3.013 * [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 3.013 * [backup-simplify]: Simplify (+ 0 0) into 0 3.015 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))))) into 0 3.016 * [backup-simplify]: Simplify 0 into 0 3.016 * [backup-simplify]: Simplify (+ (* 1 (/ 1 N)) 1) into (+ (/ 1 N) 1) 3.016 * [backup-simplify]: Simplify (/ (+ 1 (/ 1 (- N))) (/ 1 (- N))) into (* -1 (* N (- 1 (/ 1 N)))) 3.016 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in (N) around 0 3.016 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 3.016 * [taylor]: Taking taylor expansion of -1 in N 3.016 * [backup-simplify]: Simplify -1 into -1 3.016 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 3.016 * [taylor]: Taking taylor expansion of N in N 3.017 * [backup-simplify]: Simplify 0 into 0 3.017 * [backup-simplify]: Simplify 1 into 1 3.017 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 3.017 * [taylor]: Taking taylor expansion of 1 in N 3.017 * [backup-simplify]: Simplify 1 into 1 3.017 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.017 * [taylor]: Taking taylor expansion of N in N 3.017 * [backup-simplify]: Simplify 0 into 0 3.017 * [backup-simplify]: Simplify 1 into 1 3.017 * [backup-simplify]: Simplify (/ 1 1) into 1 3.017 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 3.017 * [taylor]: Taking taylor expansion of -1 in N 3.017 * [backup-simplify]: Simplify -1 into -1 3.018 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 3.018 * [taylor]: Taking taylor expansion of N in N 3.018 * [backup-simplify]: Simplify 0 into 0 3.018 * [backup-simplify]: Simplify 1 into 1 3.018 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 3.018 * [taylor]: Taking taylor expansion of 1 in N 3.018 * [backup-simplify]: Simplify 1 into 1 3.018 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.018 * [taylor]: Taking taylor expansion of N in N 3.018 * [backup-simplify]: Simplify 0 into 0 3.018 * [backup-simplify]: Simplify 1 into 1 3.018 * [backup-simplify]: Simplify (/ 1 1) into 1 3.019 * [backup-simplify]: Simplify (- 1) into -1 3.019 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.020 * [backup-simplify]: Simplify (* 0 -1) into 0 3.020 * [backup-simplify]: Simplify (* -1 0) into 0 3.020 * [backup-simplify]: Simplify 0 into 0 3.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.022 * [backup-simplify]: Simplify (- 0) into 0 3.022 * [backup-simplify]: Simplify (+ 1 0) into 1 3.023 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 3.024 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 3.024 * [backup-simplify]: Simplify 1 into 1 3.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.026 * [backup-simplify]: Simplify (- 0) into 0 3.026 * [backup-simplify]: Simplify (+ 0 0) into 0 3.027 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 3.028 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 3.028 * [backup-simplify]: Simplify -1 into -1 3.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.029 * [backup-simplify]: Simplify (- 0) into 0 3.030 * [backup-simplify]: Simplify (+ 0 0) into 0 3.031 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 3.032 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 3.032 * [backup-simplify]: Simplify 0 into 0 3.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.034 * [backup-simplify]: Simplify (- 0) into 0 3.034 * [backup-simplify]: Simplify (+ 0 0) into 0 3.036 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 3.037 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 3.038 * [backup-simplify]: Simplify 0 into 0 3.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.039 * [backup-simplify]: Simplify (- 0) into 0 3.039 * [backup-simplify]: Simplify (+ 0 0) into 0 3.041 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 3.043 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))) into 0 3.043 * [backup-simplify]: Simplify 0 into 0 3.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.044 * [backup-simplify]: Simplify (- 0) into 0 3.045 * [backup-simplify]: Simplify (+ 0 0) into 0 3.047 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 3.049 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))) into 0 3.049 * [backup-simplify]: Simplify 0 into 0 3.050 * [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 3.050 * [backup-simplify]: Simplify (- 0) into 0 3.051 * [backup-simplify]: Simplify (+ 0 0) into 0 3.053 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 3.055 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))))) into 0 3.055 * [backup-simplify]: Simplify 0 into 0 3.056 * [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 3.056 * [backup-simplify]: Simplify (- 0) into 0 3.057 * [backup-simplify]: Simplify (+ 0 0) into 0 3.059 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))))) into 0 3.061 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))))) into 0 3.061 * [backup-simplify]: Simplify 0 into 0 3.061 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (- N))) 1) into (+ (/ 1 N) 1) 3.061 * * * [progress]: simplifying candidates 3.061 * * * * [progress]: [ 1 / 72 ] simplifiying candidate # 3.061 * * * * [progress]: [ 2 / 72 ] simplifiying candidate # 3.061 * * * * [progress]: [ 3 / 72 ] simplifiying candidate # 3.061 * * * * [progress]: [ 4 / 72 ] simplifiying candidate # 3.061 * * * * [progress]: [ 5 / 72 ] simplifiying candidate # 3.061 * * * * [progress]: [ 6 / 72 ] simplifiying candidate # 3.062 * * * * [progress]: [ 7 / 72 ] simplifiying candidate # 3.062 * * * * [progress]: [ 8 / 72 ] simplifiying candidate # 3.062 * * * * [progress]: [ 9 / 72 ] simplifiying candidate # 3.062 * * * * [progress]: [ 10 / 72 ] simplifiying candidate # 3.062 * * * * [progress]: [ 11 / 72 ] simplifiying candidate # 3.062 * * * * [progress]: [ 12 / 72 ] simplifiying candidate # 3.062 * * * * [progress]: [ 13 / 72 ] simplifiying candidate # 3.062 * * * * [progress]: [ 14 / 72 ] simplifiying candidate # 3.062 * * * * [progress]: [ 15 / 72 ] simplifiying candidate # 3.062 * * * * [progress]: [ 16 / 72 ] simplifiying candidate # 3.062 * * * * [progress]: [ 17 / 72 ] simplifiying candidate # 3.062 * * * * [progress]: [ 18 / 72 ] simplifiying candidate # 3.062 * * * * [progress]: [ 19 / 72 ] simplifiying candidate # 3.062 * * * * [progress]: [ 20 / 72 ] simplifiying candidate # 3.062 * * * * [progress]: [ 21 / 72 ] simplifiying candidate # 3.062 * * * * [progress]: [ 22 / 72 ] simplifiying candidate # 3.062 * * * * [progress]: [ 23 / 72 ] simplifiying candidate # 3.062 * * * * [progress]: [ 24 / 72 ] simplifiying candidate # 3.062 * * * * [progress]: [ 25 / 72 ] simplifiying candidate # 3.062 * * * * [progress]: [ 26 / 72 ] simplifiying candidate # 3.062 * * * * [progress]: [ 27 / 72 ] simplifiying candidate # 3.062 * * * * [progress]: [ 28 / 72 ] simplifiying candidate # 3.062 * * * * [progress]: [ 29 / 72 ] simplifiying candidate # 3.062 * * * * [progress]: [ 30 / 72 ] simplifiying candidate #real (real->posit16 (log (/ (+ 1 N) N)))))> 3.062 * * * * [progress]: [ 31 / 72 ] simplifiying candidate # 3.062 * * * * [progress]: [ 32 / 72 ] simplifiying candidate # 3.062 * * * * [progress]: [ 33 / 72 ] simplifiying candidate # 3.062 * * * * [progress]: [ 34 / 72 ] simplifiying candidate # 3.063 * * * * [progress]: [ 35 / 72 ] simplifiying candidate # 3.063 * * * * [progress]: [ 36 / 72 ] simplifiying candidate # 3.063 * * * * [progress]: [ 37 / 72 ] simplifiying candidate # 3.063 * * * * [progress]: [ 38 / 72 ] simplifiying candidate # 3.063 * * * * [progress]: [ 39 / 72 ] simplifiying candidate # 3.063 * * * * [progress]: [ 40 / 72 ] simplifiying candidate # 3.063 * * * * [progress]: [ 41 / 72 ] simplifiying candidate # 3.063 * * * * [progress]: [ 42 / 72 ] simplifiying candidate # 3.063 * * * * [progress]: [ 43 / 72 ] simplifiying candidate # 3.063 * * * * [progress]: [ 44 / 72 ] simplifiying candidate # 3.063 * * * * [progress]: [ 45 / 72 ] simplifiying candidate # 3.063 * * * * [progress]: [ 46 / 72 ] simplifiying candidate # 3.063 * * * * [progress]: [ 47 / 72 ] simplifiying candidate # 3.063 * * * * [progress]: [ 48 / 72 ] simplifiying candidate # 3.063 * * * * [progress]: [ 49 / 72 ] simplifiying candidate # 3.063 * * * * [progress]: [ 50 / 72 ] simplifiying candidate # 3.063 * * * * [progress]: [ 51 / 72 ] simplifiying candidate # 3.063 * * * * [progress]: [ 52 / 72 ] simplifiying candidate # 3.063 * * * * [progress]: [ 53 / 72 ] simplifiying candidate # 3.063 * * * * [progress]: [ 54 / 72 ] simplifiying candidate # 3.063 * * * * [progress]: [ 55 / 72 ] simplifiying candidate # 3.063 * * * * [progress]: [ 56 / 72 ] simplifiying candidate # 3.063 * * * * [progress]: [ 57 / 72 ] simplifiying candidate # 3.063 * * * * [progress]: [ 58 / 72 ] simplifiying candidate # 3.063 * * * * [progress]: [ 59 / 72 ] simplifiying candidate # 3.063 * * * * [progress]: [ 60 / 72 ] simplifiying candidate # 3.063 * * * * [progress]: [ 61 / 72 ] simplifiying candidate # 3.063 * * * * [progress]: [ 62 / 72 ] simplifiying candidate # 3.064 * * * * [progress]: [ 63 / 72 ] simplifiying candidate # 3.064 * * * * [progress]: [ 64 / 72 ] simplifiying candidate # 3.064 * * * * [progress]: [ 65 / 72 ] simplifiying candidate # 3.064 * * * * [progress]: [ 66 / 72 ] simplifiying candidate #real (real->posit16 (/ (+ 1 N) N)))))> 3.064 * * * * [progress]: [ 67 / 72 ] simplifiying candidate # 3.064 * * * * [progress]: [ 68 / 72 ] simplifiying candidate # 3.064 * * * * [progress]: [ 69 / 72 ] simplifiying candidate # 3.064 * * * * [progress]: [ 70 / 72 ] simplifiying candidate # 3.064 * * * * [progress]: [ 71 / 72 ] simplifiying candidate # 3.064 * * * * [progress]: [ 72 / 72 ] simplifiying candidate # 3.064 * [simplify]: Simplifying: (expm1 (log (/ (+ 1 N) N))) (log1p (log (/ (+ 1 N) N))) (log (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N)))) (log (cbrt (/ (+ 1 N) N))) (log (sqrt (/ (+ 1 N) N))) (log (sqrt (/ (+ 1 N) N))) (log (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ 1 N)) (cbrt N))) (log (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (sqrt N))) (log (/ (cbrt (+ 1 N)) (sqrt N))) (log (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) 1)) (log (/ (cbrt (+ 1 N)) N)) (log (/ (sqrt (+ 1 N)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ 1 N)) (cbrt N))) (log (/ (sqrt (+ 1 N)) (sqrt N))) (log (/ (sqrt (+ 1 N)) (sqrt N))) (log (/ (sqrt (+ 1 N)) 1)) (log (/ (sqrt (+ 1 N)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ 1 N) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ 1 N) (sqrt N))) (log (/ 1 1)) (log (/ (+ 1 N) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ 1 N) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ 1 N) (sqrt N))) (log (/ 1 1)) (log (/ (+ 1 N) N)) (log 1) (log (/ (+ 1 N) N)) (log (+ 1 N)) (log (/ 1 N)) (log (+ 1 N)) (log N) (log (/ (+ 1 N) N)) (log (log (/ (+ 1 N) N))) (exp (log (/ (+ 1 N) N))) (* (cbrt (log (/ (+ 1 N) N))) (cbrt (log (/ (+ 1 N) N)))) (cbrt (log (/ (+ 1 N) N))) (* (* (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N))) (log (/ (+ 1 N) N))) (sqrt (log (/ (+ 1 N) N))) (sqrt (log (/ (+ 1 N) N))) (real->posit16 (log (/ (+ 1 N) N))) (expm1 (/ (+ 1 N) N)) (log1p (/ (+ 1 N) N)) (- (log (+ 1 N)) (log N)) (log (/ (+ 1 N) N)) (exp (/ (+ 1 N) N)) (/ (* (* (+ 1 N) (+ 1 N)) (+ 1 N)) (* (* N N) N)) (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N))) (cbrt (/ (+ 1 N) N)) (* (* (/ (+ 1 N) N) (/ (+ 1 N) N)) (/ (+ 1 N) N)) (sqrt (/ (+ 1 N) N)) (sqrt (/ (+ 1 N) N)) (- (+ 1 N)) (- N) (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ 1 N)) (cbrt N)) (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (sqrt N)) (/ (cbrt (+ 1 N)) (sqrt N)) (/ (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) 1) (/ (cbrt (+ 1 N)) N) (/ (sqrt (+ 1 N)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ 1 N)) (cbrt N)) (/ (sqrt (+ 1 N)) (sqrt N)) (/ (sqrt (+ 1 N)) (sqrt N)) (/ (sqrt (+ 1 N)) 1) (/ (sqrt (+ 1 N)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1 N) (sqrt N)) (/ 1 1) (/ (+ 1 N) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1 N) (sqrt N)) (/ 1 1) (/ (+ 1 N) N) (/ 1 N) (/ N (+ 1 N)) (/ (+ 1 N) (* (cbrt N) (cbrt N))) (/ (+ 1 N) (sqrt N)) (/ (+ 1 N) 1) (/ N (cbrt (+ 1 N))) (/ N (sqrt (+ 1 N))) (/ N (+ 1 N)) (/ N (+ 1 N)) (* N (+ (* 1 1) (- (* N N) (* 1 N)))) (* N (- 1 N)) (real->posit16 (/ (+ 1 N) N)) (- N (+ (log N) (* 1/2 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (* 1/2 (/ 1 (pow N 2)))) (+ (/ 1 N) 1) (+ (/ 1 N) 1) (+ (/ 1 N) 1) 3.065 * * [simplify]: iteration 0: 106 enodes 3.095 * * [simplify]: iteration 1: 244 enodes 3.183 * * [simplify]: iteration 2: 583 enodes 3.479 * * [simplify]: iteration 3: 2586 enodes 4.518 * * [simplify]: iteration complete: 5052 enodes 4.518 * * [simplify]: Extracting #0: cost 69 inf + 0 4.519 * * [simplify]: Extracting #1: cost 506 inf + 2 4.524 * * [simplify]: Extracting #2: cost 1571 inf + 6687 4.550 * * [simplify]: Extracting #3: cost 1134 inf + 97525 4.600 * * [simplify]: Extracting #4: cost 333 inf + 265722 4.672 * * [simplify]: Extracting #5: cost 4 inf + 366616 4.762 * * [simplify]: Extracting #6: cost 0 inf + 367906 4.834 * [simplify]: Simplified to: (expm1 (log (/ (+ 1 N) N))) (log1p (log (/ (+ 1 N) N))) (log (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N)))) (log (cbrt (/ (+ 1 N) N))) (log (sqrt (/ (+ 1 N) N))) (log (sqrt (/ (+ 1 N) N))) (+ (log (/ (cbrt (+ 1 N)) (cbrt N))) (log (/ (cbrt (+ 1 N)) (cbrt N)))) (log (/ (cbrt (+ 1 N)) (cbrt N))) (log (/ (cbrt (+ 1 N)) (/ (sqrt N) (cbrt (+ 1 N))))) (log (/ (cbrt (+ 1 N)) (sqrt N))) (+ (log (cbrt (+ 1 N))) (log (cbrt (+ 1 N)))) (log (/ (cbrt (+ 1 N)) N)) (log (/ (sqrt (+ 1 N)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ 1 N)) (cbrt N))) (log (/ (sqrt (+ 1 N)) (sqrt N))) (log (/ (sqrt (+ 1 N)) (sqrt N))) (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)) (- (log (* (cbrt N) (cbrt N)))) (log (/ (+ 1 N) (cbrt N))) (- (log (sqrt N))) (log (/ (+ 1 N) (sqrt N))) 0 (log (/ (+ 1 N) N)) (- (log (* (cbrt N) (cbrt N)))) (log (/ (+ 1 N) (cbrt N))) (- (log (sqrt N))) (log (/ (+ 1 N) (sqrt N))) 0 (log (/ (+ 1 N) N)) 0 (log (/ (+ 1 N) N)) (log1p N) (- (log N)) (log1p N) (log N) (log (/ (+ 1 N) N)) (log (log (/ (+ 1 N) N))) (/ (+ 1 N) N) (* (cbrt (log (/ (+ 1 N) N))) (cbrt (log (/ (+ 1 N) N)))) (cbrt (log (/ (+ 1 N) N))) (* (* (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N))) (log (/ (+ 1 N) N))) (sqrt (log (/ (+ 1 N) N))) (sqrt (log (/ (+ 1 N) N))) (real->posit16 (log (/ (+ 1 N) N))) (expm1 (/ (+ 1 N) N)) (log1p (/ (+ 1 N) N)) (log (/ (+ 1 N) N)) (log (/ (+ 1 N) N)) (exp (/ (+ 1 N) N)) (* (* (/ (+ 1 N) N) (/ (+ 1 N) N)) (/ (+ 1 N) N)) (* (cbrt (/ (+ 1 N) N)) (cbrt (/ (+ 1 N) N))) (cbrt (/ (+ 1 N) N)) (* (* (/ (+ 1 N) N) (/ (+ 1 N) N)) (/ (+ 1 N) N)) (sqrt (/ (+ 1 N) N)) (sqrt (/ (+ 1 N) N)) (- -1 N) (- N) (* (/ (cbrt (+ 1 N)) (cbrt N)) (/ (cbrt (+ 1 N)) (cbrt N))) (/ (cbrt (+ 1 N)) (cbrt N)) (/ (cbrt (+ 1 N)) (/ (sqrt N) (cbrt (+ 1 N)))) (/ (cbrt (+ 1 N)) (sqrt N)) (* (cbrt (+ 1 N)) (cbrt (+ 1 N))) (/ (cbrt (+ 1 N)) N) (/ (sqrt (+ 1 N)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ 1 N)) (cbrt N)) (/ (sqrt (+ 1 N)) (sqrt N)) (/ (sqrt (+ 1 N)) (sqrt N)) (sqrt (+ 1 N)) (/ (sqrt (+ 1 N)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1 N) (sqrt N)) 1 (/ (+ 1 N) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ 1 N) (cbrt N)) (/ 1 (sqrt N)) (/ (+ 1 N) (sqrt N)) 1 (/ (+ 1 N) N) (/ 1 N) (/ N (+ 1 N)) (/ (+ 1 N) (* (cbrt N) (cbrt N))) (/ (+ 1 N) (sqrt N)) (+ 1 N) (/ N (cbrt (+ 1 N))) (/ N (sqrt (+ 1 N))) (/ N (+ 1 N)) (/ N (+ 1 N)) (fma (- (* N N) N) N N) (* (- 1 N) N) (real->posit16 (/ (+ 1 N) N)) (- N (fma N (* N 1/2) (log N))) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)) (fma (/ 1 (* N N)) (- (/ 1/3 N) 1/2) (/ 1 N)) (+ (/ 1 N) 1) (+ (/ 1 N) 1) (+ (/ 1 N) 1) 4.838 * * * [progress]: adding candidates to table 5.066 * * [progress]: iteration 3 / 4 5.066 * * * [progress]: picking best candidate 5.074 * * * * [pick]: Picked # 5.075 * * * [progress]: localizing error 5.091 * * * [progress]: generating rewritten candidates 5.091 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 5.105 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 5.109 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 5.119 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1) 5.127 * * * [progress]: generating series expansions 5.127 * * * * [progress]: [ 1 / 4 ] generating series at (2) 5.127 * [backup-simplify]: Simplify (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))) into (+ (log (* (sqrt (+ N 1)) (/ 1 N))) (log (sqrt (+ N 1)))) 5.127 * [approximate]: Taking taylor expansion of (+ (log (* (sqrt (+ N 1)) (/ 1 N))) (log (sqrt (+ N 1)))) in (N) around 0 5.127 * [taylor]: Taking taylor expansion of (+ (log (* (sqrt (+ N 1)) (/ 1 N))) (log (sqrt (+ N 1)))) in N 5.127 * [taylor]: Taking taylor expansion of (log (* (sqrt (+ N 1)) (/ 1 N))) in N 5.127 * [taylor]: Taking taylor expansion of (* (sqrt (+ N 1)) (/ 1 N)) in N 5.127 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 5.127 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.127 * [taylor]: Taking taylor expansion of N in N 5.127 * [backup-simplify]: Simplify 0 into 0 5.127 * [backup-simplify]: Simplify 1 into 1 5.127 * [taylor]: Taking taylor expansion of 1 in N 5.127 * [backup-simplify]: Simplify 1 into 1 5.128 * [backup-simplify]: Simplify (+ 0 1) into 1 5.128 * [backup-simplify]: Simplify (sqrt 1) into 1 5.129 * [backup-simplify]: Simplify (+ 1 0) into 1 5.129 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 5.129 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.129 * [taylor]: Taking taylor expansion of N in N 5.129 * [backup-simplify]: Simplify 0 into 0 5.129 * [backup-simplify]: Simplify 1 into 1 5.129 * [backup-simplify]: Simplify (/ 1 1) into 1 5.130 * [backup-simplify]: Simplify (* 1 1) into 1 5.130 * [backup-simplify]: Simplify (log 1) into 0 5.130 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1))) in N 5.130 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 5.130 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.130 * [taylor]: Taking taylor expansion of N in N 5.130 * [backup-simplify]: Simplify 0 into 0 5.130 * [backup-simplify]: Simplify 1 into 1 5.130 * [taylor]: Taking taylor expansion of 1 in N 5.130 * [backup-simplify]: Simplify 1 into 1 5.130 * [backup-simplify]: Simplify (+ 0 1) into 1 5.131 * [backup-simplify]: Simplify (sqrt 1) into 1 5.131 * [backup-simplify]: Simplify (+ 1 0) into 1 5.131 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 5.131 * [backup-simplify]: Simplify (log 1) into 0 5.132 * [taylor]: Taking taylor expansion of (+ (log (* (sqrt (+ N 1)) (/ 1 N))) (log (sqrt (+ N 1)))) in N 5.132 * [taylor]: Taking taylor expansion of (log (* (sqrt (+ N 1)) (/ 1 N))) in N 5.132 * [taylor]: Taking taylor expansion of (* (sqrt (+ N 1)) (/ 1 N)) in N 5.132 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 5.132 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.132 * [taylor]: Taking taylor expansion of N in N 5.132 * [backup-simplify]: Simplify 0 into 0 5.132 * [backup-simplify]: Simplify 1 into 1 5.132 * [taylor]: Taking taylor expansion of 1 in N 5.132 * [backup-simplify]: Simplify 1 into 1 5.132 * [backup-simplify]: Simplify (+ 0 1) into 1 5.132 * [backup-simplify]: Simplify (sqrt 1) into 1 5.132 * [backup-simplify]: Simplify (+ 1 0) into 1 5.133 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 5.133 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.133 * [taylor]: Taking taylor expansion of N in N 5.133 * [backup-simplify]: Simplify 0 into 0 5.133 * [backup-simplify]: Simplify 1 into 1 5.133 * [backup-simplify]: Simplify (/ 1 1) into 1 5.133 * [backup-simplify]: Simplify (* 1 1) into 1 5.134 * [backup-simplify]: Simplify (log 1) into 0 5.134 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1))) in N 5.134 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 5.134 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.134 * [taylor]: Taking taylor expansion of N in N 5.134 * [backup-simplify]: Simplify 0 into 0 5.134 * [backup-simplify]: Simplify 1 into 1 5.134 * [taylor]: Taking taylor expansion of 1 in N 5.134 * [backup-simplify]: Simplify 1 into 1 5.134 * [backup-simplify]: Simplify (+ 0 1) into 1 5.134 * [backup-simplify]: Simplify (sqrt 1) into 1 5.135 * [backup-simplify]: Simplify (+ 1 0) into 1 5.135 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 5.135 * [backup-simplify]: Simplify (log 1) into 0 5.141 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 5.142 * [backup-simplify]: Simplify (+ (- (log N)) 0) into (- (log N)) 5.142 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 5.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.143 * [backup-simplify]: Simplify (+ (* 1 0) (* 1/2 1)) into 1/2 5.144 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 5.144 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 5.145 * [backup-simplify]: Simplify (+ 1/2 1/2) into 1 5.145 * [backup-simplify]: Simplify 1 into 1 5.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.146 * [backup-simplify]: Simplify (+ 0 0) into 0 5.146 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 5.147 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1/2 0) (* -1/8 1))) into -1/8 5.149 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/4 5.149 * [backup-simplify]: Simplify (+ 0 0) into 0 5.150 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 5.151 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/4 5.152 * [backup-simplify]: Simplify (+ -1/4 -1/4) into -1/2 5.152 * [backup-simplify]: Simplify -1/2 into -1/2 5.152 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 5.152 * [backup-simplify]: Simplify (+ (log (sqrt (+ 1 (/ 1 N)))) (log (/ (sqrt (+ 1 (/ 1 N))) (/ 1 N)))) into (+ (log (* N (sqrt (+ (/ 1 N) 1)))) (log (sqrt (+ (/ 1 N) 1)))) 5.152 * [approximate]: Taking taylor expansion of (+ (log (* N (sqrt (+ (/ 1 N) 1)))) (log (sqrt (+ (/ 1 N) 1)))) in (N) around 0 5.152 * [taylor]: Taking taylor expansion of (+ (log (* N (sqrt (+ (/ 1 N) 1)))) (log (sqrt (+ (/ 1 N) 1)))) in N 5.152 * [taylor]: Taking taylor expansion of (log (* N (sqrt (+ (/ 1 N) 1)))) in N 5.152 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1))) in N 5.152 * [taylor]: Taking taylor expansion of N in N 5.152 * [backup-simplify]: Simplify 0 into 0 5.152 * [backup-simplify]: Simplify 1 into 1 5.152 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 5.152 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.152 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.152 * [taylor]: Taking taylor expansion of N in N 5.152 * [backup-simplify]: Simplify 0 into 0 5.152 * [backup-simplify]: Simplify 1 into 1 5.153 * [backup-simplify]: Simplify (/ 1 1) into 1 5.153 * [taylor]: Taking taylor expansion of 1 in N 5.153 * [backup-simplify]: Simplify 1 into 1 5.153 * [backup-simplify]: Simplify (+ 1 0) into 1 5.153 * [backup-simplify]: Simplify (sqrt 0) into 0 5.154 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.155 * [backup-simplify]: Simplify (* 0 0) into 0 5.155 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 5.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.156 * [backup-simplify]: Simplify (+ 0 1) into 1 5.158 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.160 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 5.160 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 5.160 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1))) in N 5.160 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 5.160 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.160 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.160 * [taylor]: Taking taylor expansion of N in N 5.160 * [backup-simplify]: Simplify 0 into 0 5.160 * [backup-simplify]: Simplify 1 into 1 5.160 * [backup-simplify]: Simplify (/ 1 1) into 1 5.160 * [taylor]: Taking taylor expansion of 1 in N 5.161 * [backup-simplify]: Simplify 1 into 1 5.161 * [backup-simplify]: Simplify (+ 1 0) into 1 5.161 * [backup-simplify]: Simplify (sqrt 0) into 0 5.162 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.162 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.162 * [taylor]: Taking taylor expansion of (+ (log (* N (sqrt (+ (/ 1 N) 1)))) (log (sqrt (+ (/ 1 N) 1)))) in N 5.162 * [taylor]: Taking taylor expansion of (log (* N (sqrt (+ (/ 1 N) 1)))) in N 5.162 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1))) in N 5.162 * [taylor]: Taking taylor expansion of N in N 5.162 * [backup-simplify]: Simplify 0 into 0 5.162 * [backup-simplify]: Simplify 1 into 1 5.162 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 5.162 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.162 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.162 * [taylor]: Taking taylor expansion of N in N 5.162 * [backup-simplify]: Simplify 0 into 0 5.162 * [backup-simplify]: Simplify 1 into 1 5.163 * [backup-simplify]: Simplify (/ 1 1) into 1 5.163 * [taylor]: Taking taylor expansion of 1 in N 5.163 * [backup-simplify]: Simplify 1 into 1 5.163 * [backup-simplify]: Simplify (+ 1 0) into 1 5.163 * [backup-simplify]: Simplify (sqrt 0) into 0 5.164 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.164 * [backup-simplify]: Simplify (* 0 0) into 0 5.165 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 5.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.166 * [backup-simplify]: Simplify (+ 0 1) into 1 5.169 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.172 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 5.173 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 5.173 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1))) in N 5.173 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 5.173 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.173 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.173 * [taylor]: Taking taylor expansion of N in N 5.173 * [backup-simplify]: Simplify 0 into 0 5.173 * [backup-simplify]: Simplify 1 into 1 5.174 * [backup-simplify]: Simplify (/ 1 1) into 1 5.174 * [taylor]: Taking taylor expansion of 1 in N 5.174 * [backup-simplify]: Simplify 1 into 1 5.174 * [backup-simplify]: Simplify (+ 1 0) into 1 5.174 * [backup-simplify]: Simplify (sqrt 0) into 0 5.176 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.176 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.177 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log (- +nan.0))) into (+ (log (- +nan.0)) (log N)) 5.178 * [backup-simplify]: Simplify (+ (+ (log (- +nan.0)) (log N)) (log +nan.0)) into (+ (log (- +nan.0)) (+ (log N) (log +nan.0))) 5.180 * [backup-simplify]: Simplify (+ (log (- +nan.0)) (+ (log N) (log +nan.0))) into (+ (log (- +nan.0)) (+ (log N) (log +nan.0))) 5.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.181 * [backup-simplify]: Simplify (+ 0 0) into 0 5.185 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.188 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 5.196 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 5.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.197 * [backup-simplify]: Simplify (+ 0 1) into 1 5.200 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.206 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 5.207 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 5.207 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.208 * [backup-simplify]: Simplify (+ 0 0) into 0 5.213 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.217 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- +nan.0) 5.235 * [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 5.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.236 * [backup-simplify]: Simplify (+ 0 0) into 0 5.241 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.255 * [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 5.256 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 5.256 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.258 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 N) 2)) (+ (* (- +nan.0) (/ 1 N)) (+ (log (- +nan.0)) (+ (log (/ 1 N)) (log +nan.0))))) into (- (+ (log (/ 1 N)) (+ (log +nan.0) (log (- +nan.0)))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 5.259 * [backup-simplify]: Simplify (+ (log (sqrt (+ 1 (/ 1 (- N))))) (log (/ (sqrt (+ 1 (/ 1 (- N)))) (/ 1 (- N))))) into (+ (log (sqrt (- 1 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1 (/ 1 N))))))) 5.259 * [approximate]: Taking taylor expansion of (+ (log (sqrt (- 1 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1 (/ 1 N))))))) in (N) around 0 5.259 * [taylor]: Taking taylor expansion of (+ (log (sqrt (- 1 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1 (/ 1 N))))))) in N 5.259 * [taylor]: Taking taylor expansion of (log (sqrt (- 1 (/ 1 N)))) in N 5.259 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 5.259 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.259 * [taylor]: Taking taylor expansion of 1 in N 5.259 * [backup-simplify]: Simplify 1 into 1 5.259 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.259 * [taylor]: Taking taylor expansion of N in N 5.259 * [backup-simplify]: Simplify 0 into 0 5.259 * [backup-simplify]: Simplify 1 into 1 5.259 * [backup-simplify]: Simplify (/ 1 1) into 1 5.260 * [backup-simplify]: Simplify (- 1) into -1 5.260 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.261 * [backup-simplify]: Simplify (sqrt 0) into 0 5.262 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.262 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.262 * [taylor]: Taking taylor expansion of (log (* -1 (* N (sqrt (- 1 (/ 1 N)))))) in N 5.262 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1 (/ 1 N))))) in N 5.262 * [taylor]: Taking taylor expansion of -1 in N 5.262 * [backup-simplify]: Simplify -1 into -1 5.263 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1 (/ 1 N)))) in N 5.263 * [taylor]: Taking taylor expansion of N in N 5.263 * [backup-simplify]: Simplify 0 into 0 5.263 * [backup-simplify]: Simplify 1 into 1 5.263 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 5.263 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.263 * [taylor]: Taking taylor expansion of 1 in N 5.263 * [backup-simplify]: Simplify 1 into 1 5.263 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.263 * [taylor]: Taking taylor expansion of N in N 5.263 * [backup-simplify]: Simplify 0 into 0 5.263 * [backup-simplify]: Simplify 1 into 1 5.263 * [backup-simplify]: Simplify (/ 1 1) into 1 5.264 * [backup-simplify]: Simplify (- 1) into -1 5.264 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.264 * [backup-simplify]: Simplify (sqrt 0) into 0 5.269 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.269 * [backup-simplify]: Simplify (* 0 0) into 0 5.270 * [backup-simplify]: Simplify (* -1 0) into 0 5.271 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 5.271 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 0)) into 0 5.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.272 * [backup-simplify]: Simplify (- 0) into 0 5.273 * [backup-simplify]: Simplify (+ 1 0) into 1 5.276 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.279 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 5.281 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 0) (* 0 0))) into (- +nan.0) 5.282 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 5.282 * [taylor]: Taking taylor expansion of (+ (log (sqrt (- 1 (/ 1 N)))) (log (* -1 (* N (sqrt (- 1 (/ 1 N))))))) in N 5.282 * [taylor]: Taking taylor expansion of (log (sqrt (- 1 (/ 1 N)))) in N 5.282 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 5.282 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.283 * [taylor]: Taking taylor expansion of 1 in N 5.283 * [backup-simplify]: Simplify 1 into 1 5.283 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.283 * [taylor]: Taking taylor expansion of N in N 5.283 * [backup-simplify]: Simplify 0 into 0 5.283 * [backup-simplify]: Simplify 1 into 1 5.283 * [backup-simplify]: Simplify (/ 1 1) into 1 5.283 * [backup-simplify]: Simplify (- 1) into -1 5.284 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.284 * [backup-simplify]: Simplify (sqrt 0) into 0 5.285 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.286 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.286 * [taylor]: Taking taylor expansion of (log (* -1 (* N (sqrt (- 1 (/ 1 N)))))) in N 5.286 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1 (/ 1 N))))) in N 5.286 * [taylor]: Taking taylor expansion of -1 in N 5.286 * [backup-simplify]: Simplify -1 into -1 5.286 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1 (/ 1 N)))) in N 5.286 * [taylor]: Taking taylor expansion of N in N 5.286 * [backup-simplify]: Simplify 0 into 0 5.286 * [backup-simplify]: Simplify 1 into 1 5.286 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 5.286 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.286 * [taylor]: Taking taylor expansion of 1 in N 5.286 * [backup-simplify]: Simplify 1 into 1 5.286 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.286 * [taylor]: Taking taylor expansion of N in N 5.286 * [backup-simplify]: Simplify 0 into 0 5.286 * [backup-simplify]: Simplify 1 into 1 5.287 * [backup-simplify]: Simplify (/ 1 1) into 1 5.287 * [backup-simplify]: Simplify (- 1) into -1 5.288 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.288 * [backup-simplify]: Simplify (sqrt 0) into 0 5.290 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.290 * [backup-simplify]: Simplify (* 0 0) into 0 5.290 * [backup-simplify]: Simplify (* -1 0) into 0 5.291 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 5.292 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 0)) into 0 5.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.294 * [backup-simplify]: Simplify (- 0) into 0 5.294 * [backup-simplify]: Simplify (+ 1 0) into 1 5.297 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.300 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 5.302 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 0) (* 0 0))) into (- +nan.0) 5.303 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 5.304 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log (- +nan.0))) into (+ (log (- +nan.0)) (log N)) 5.305 * [backup-simplify]: Simplify (+ (log +nan.0) (+ (log (- +nan.0)) (log N))) into (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) 5.306 * [backup-simplify]: Simplify (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) into (+ (log (- +nan.0)) (+ (log +nan.0) (log N))) 5.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.307 * [backup-simplify]: Simplify (- 0) into 0 5.308 * [backup-simplify]: Simplify (+ 1 0) into 1 5.310 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.314 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 5.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.315 * [backup-simplify]: Simplify (- 0) into 0 5.315 * [backup-simplify]: Simplify (+ 0 0) into 0 5.317 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.319 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 5.321 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0)))) into (- +nan.0) 5.326 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 5.326 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 5.327 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.327 * [backup-simplify]: Simplify (- 0) into 0 5.328 * [backup-simplify]: Simplify (+ 0 0) into 0 5.330 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.339 * [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 5.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.340 * [backup-simplify]: Simplify (- 0) into 0 5.341 * [backup-simplify]: Simplify (+ 0 0) into 0 5.346 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.350 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- +nan.0) 5.354 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0))))) into (- +nan.0) 5.373 * [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 5.374 * [backup-simplify]: Simplify (+ +nan.0 +nan.0) into (- +nan.0) 5.374 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.376 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- N)) 2)) (+ (* (- +nan.0) (/ 1 (- N))) (+ (log (- +nan.0)) (+ (log +nan.0) (log (/ 1 (- N))))))) into (- (+ (log (/ -1 N)) (+ (log (- +nan.0)) (log +nan.0))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) 5.377 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 5.377 * [backup-simplify]: Simplify (log (sqrt (+ 1 N))) into (log (sqrt (+ N 1))) 5.377 * [approximate]: Taking taylor expansion of (log (sqrt (+ N 1))) in (N) around 0 5.377 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1))) in N 5.377 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 5.377 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.377 * [taylor]: Taking taylor expansion of N in N 5.377 * [backup-simplify]: Simplify 0 into 0 5.377 * [backup-simplify]: Simplify 1 into 1 5.377 * [taylor]: Taking taylor expansion of 1 in N 5.377 * [backup-simplify]: Simplify 1 into 1 5.378 * [backup-simplify]: Simplify (+ 0 1) into 1 5.378 * [backup-simplify]: Simplify (sqrt 1) into 1 5.378 * [backup-simplify]: Simplify (+ 1 0) into 1 5.379 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 5.380 * [backup-simplify]: Simplify (log 1) into 0 5.380 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1))) in N 5.380 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 5.380 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.380 * [taylor]: Taking taylor expansion of N in N 5.380 * [backup-simplify]: Simplify 0 into 0 5.380 * [backup-simplify]: Simplify 1 into 1 5.380 * [taylor]: Taking taylor expansion of 1 in N 5.380 * [backup-simplify]: Simplify 1 into 1 5.380 * [backup-simplify]: Simplify (+ 0 1) into 1 5.381 * [backup-simplify]: Simplify (sqrt 1) into 1 5.381 * [backup-simplify]: Simplify (+ 1 0) into 1 5.382 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 5.382 * [backup-simplify]: Simplify (log 1) into 0 5.382 * [backup-simplify]: Simplify 0 into 0 5.384 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 5.384 * [backup-simplify]: Simplify 1/2 into 1/2 5.384 * [backup-simplify]: Simplify (+ 0 0) into 0 5.385 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 5.389 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/4 5.389 * [backup-simplify]: Simplify -1/4 into -1/4 5.389 * [backup-simplify]: Simplify (+ 0 0) into 0 5.394 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 5.401 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1/2) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1/2) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 1/16) 1)) (pow 1 1)))) 6) into 1/6 5.401 * [backup-simplify]: Simplify 1/6 into 1/6 5.401 * [backup-simplify]: Simplify (+ (* 1/6 (pow N 3)) (+ (* -1/4 (pow N 2)) (* 1/2 N))) into (- (+ (* 1/2 N) (* 1/6 (pow N 3))) (* 1/4 (pow N 2))) 5.401 * [backup-simplify]: Simplify (log (sqrt (+ 1 (/ 1 N)))) into (log (sqrt (+ (/ 1 N) 1))) 5.401 * [approximate]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1))) in (N) around 0 5.401 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1))) in N 5.401 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 5.402 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.402 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.402 * [taylor]: Taking taylor expansion of N in N 5.402 * [backup-simplify]: Simplify 0 into 0 5.402 * [backup-simplify]: Simplify 1 into 1 5.402 * [backup-simplify]: Simplify (/ 1 1) into 1 5.402 * [taylor]: Taking taylor expansion of 1 in N 5.402 * [backup-simplify]: Simplify 1 into 1 5.403 * [backup-simplify]: Simplify (+ 1 0) into 1 5.403 * [backup-simplify]: Simplify (sqrt 0) into 0 5.405 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.405 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.405 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1))) in N 5.405 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 5.405 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.405 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.406 * [taylor]: Taking taylor expansion of N in N 5.406 * [backup-simplify]: Simplify 0 into 0 5.406 * [backup-simplify]: Simplify 1 into 1 5.406 * [backup-simplify]: Simplify (/ 1 1) into 1 5.406 * [taylor]: Taking taylor expansion of 1 in N 5.406 * [backup-simplify]: Simplify 1 into 1 5.407 * [backup-simplify]: Simplify (+ 1 0) into 1 5.407 * [backup-simplify]: Simplify (sqrt 0) into 0 5.409 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.409 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.409 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.410 * [backup-simplify]: Simplify (+ 0 1) into 1 5.412 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.416 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 5.416 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.417 * [backup-simplify]: Simplify (+ 0 0) into 0 5.419 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.427 * [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 5.427 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.427 * [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))))) 5.428 * [backup-simplify]: Simplify (log (sqrt (+ 1 (/ 1 (- N))))) into (log (sqrt (- 1 (/ 1 N)))) 5.428 * [approximate]: Taking taylor expansion of (log (sqrt (- 1 (/ 1 N)))) in (N) around 0 5.428 * [taylor]: Taking taylor expansion of (log (sqrt (- 1 (/ 1 N)))) in N 5.428 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 5.428 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.428 * [taylor]: Taking taylor expansion of 1 in N 5.428 * [backup-simplify]: Simplify 1 into 1 5.428 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.428 * [taylor]: Taking taylor expansion of N in N 5.428 * [backup-simplify]: Simplify 0 into 0 5.428 * [backup-simplify]: Simplify 1 into 1 5.428 * [backup-simplify]: Simplify (/ 1 1) into 1 5.428 * [backup-simplify]: Simplify (- 1) into -1 5.429 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.429 * [backup-simplify]: Simplify (sqrt 0) into 0 5.430 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.430 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.430 * [taylor]: Taking taylor expansion of (log (sqrt (- 1 (/ 1 N)))) in N 5.430 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 5.430 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.430 * [taylor]: Taking taylor expansion of 1 in N 5.430 * [backup-simplify]: Simplify 1 into 1 5.430 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.430 * [taylor]: Taking taylor expansion of N in N 5.430 * [backup-simplify]: Simplify 0 into 0 5.430 * [backup-simplify]: Simplify 1 into 1 5.430 * [backup-simplify]: Simplify (/ 1 1) into 1 5.430 * [backup-simplify]: Simplify (- 1) into -1 5.431 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.431 * [backup-simplify]: Simplify (sqrt 0) into 0 5.432 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.432 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.432 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 5.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.433 * [backup-simplify]: Simplify (- 0) into 0 5.433 * [backup-simplify]: Simplify (+ 1 0) into 1 5.435 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.439 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 5.439 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.440 * [backup-simplify]: Simplify (- 0) into 0 5.440 * [backup-simplify]: Simplify (+ 0 0) into 0 5.442 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.454 * [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 5.454 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.455 * [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))))) 5.455 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 5.455 * [backup-simplify]: Simplify (/ (sqrt (+ 1 N)) N) into (* (sqrt (+ N 1)) (/ 1 N)) 5.455 * [approximate]: Taking taylor expansion of (* (sqrt (+ N 1)) (/ 1 N)) in (N) around 0 5.455 * [taylor]: Taking taylor expansion of (* (sqrt (+ N 1)) (/ 1 N)) in N 5.455 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 5.455 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.455 * [taylor]: Taking taylor expansion of N in N 5.455 * [backup-simplify]: Simplify 0 into 0 5.455 * [backup-simplify]: Simplify 1 into 1 5.455 * [taylor]: Taking taylor expansion of 1 in N 5.455 * [backup-simplify]: Simplify 1 into 1 5.455 * [backup-simplify]: Simplify (+ 0 1) into 1 5.456 * [backup-simplify]: Simplify (sqrt 1) into 1 5.456 * [backup-simplify]: Simplify (+ 1 0) into 1 5.457 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 5.457 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.457 * [taylor]: Taking taylor expansion of N in N 5.457 * [backup-simplify]: Simplify 0 into 0 5.457 * [backup-simplify]: Simplify 1 into 1 5.457 * [backup-simplify]: Simplify (/ 1 1) into 1 5.457 * [taylor]: Taking taylor expansion of (* (sqrt (+ N 1)) (/ 1 N)) in N 5.457 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 5.457 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.458 * [taylor]: Taking taylor expansion of N in N 5.458 * [backup-simplify]: Simplify 0 into 0 5.458 * [backup-simplify]: Simplify 1 into 1 5.458 * [taylor]: Taking taylor expansion of 1 in N 5.458 * [backup-simplify]: Simplify 1 into 1 5.458 * [backup-simplify]: Simplify (+ 0 1) into 1 5.458 * [backup-simplify]: Simplify (sqrt 1) into 1 5.459 * [backup-simplify]: Simplify (+ 1 0) into 1 5.460 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 5.460 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.460 * [taylor]: Taking taylor expansion of N in N 5.460 * [backup-simplify]: Simplify 0 into 0 5.460 * [backup-simplify]: Simplify 1 into 1 5.460 * [backup-simplify]: Simplify (/ 1 1) into 1 5.461 * [backup-simplify]: Simplify (* 1 1) into 1 5.461 * [backup-simplify]: Simplify 1 into 1 5.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.462 * [backup-simplify]: Simplify (+ (* 1 0) (* 1/2 1)) into 1/2 5.462 * [backup-simplify]: Simplify 1/2 into 1/2 5.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.464 * [backup-simplify]: Simplify (+ 0 0) into 0 5.465 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 5.466 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 1/2 0) (* -1/8 1))) into -1/8 5.466 * [backup-simplify]: Simplify -1/8 into -1/8 5.467 * [backup-simplify]: Simplify (+ (* -1/8 N) (+ 1/2 (* 1 (/ 1 N)))) into (- (+ (/ 1 N) 1/2) (* 1/8 N)) 5.467 * [backup-simplify]: Simplify (/ (sqrt (+ 1 (/ 1 N))) (/ 1 N)) into (* N (sqrt (+ (/ 1 N) 1))) 5.467 * [approximate]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1))) in (N) around 0 5.467 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1))) in N 5.467 * [taylor]: Taking taylor expansion of N in N 5.467 * [backup-simplify]: Simplify 0 into 0 5.467 * [backup-simplify]: Simplify 1 into 1 5.467 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 5.467 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.467 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.467 * [taylor]: Taking taylor expansion of N in N 5.467 * [backup-simplify]: Simplify 0 into 0 5.467 * [backup-simplify]: Simplify 1 into 1 5.467 * [backup-simplify]: Simplify (/ 1 1) into 1 5.468 * [taylor]: Taking taylor expansion of 1 in N 5.468 * [backup-simplify]: Simplify 1 into 1 5.468 * [backup-simplify]: Simplify (+ 1 0) into 1 5.468 * [backup-simplify]: Simplify (sqrt 0) into 0 5.470 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.470 * [taylor]: Taking taylor expansion of (* N (sqrt (+ (/ 1 N) 1))) in N 5.470 * [taylor]: Taking taylor expansion of N in N 5.470 * [backup-simplify]: Simplify 0 into 0 5.470 * [backup-simplify]: Simplify 1 into 1 5.470 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 5.470 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.470 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.470 * [taylor]: Taking taylor expansion of N in N 5.470 * [backup-simplify]: Simplify 0 into 0 5.470 * [backup-simplify]: Simplify 1 into 1 5.470 * [backup-simplify]: Simplify (/ 1 1) into 1 5.471 * [taylor]: Taking taylor expansion of 1 in N 5.471 * [backup-simplify]: Simplify 1 into 1 5.471 * [backup-simplify]: Simplify (+ 1 0) into 1 5.471 * [backup-simplify]: Simplify (sqrt 0) into 0 5.473 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.473 * [backup-simplify]: Simplify (* 0 0) into 0 5.473 * [backup-simplify]: Simplify 0 into 0 5.474 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 5.474 * [backup-simplify]: Simplify 0 into 0 5.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.475 * [backup-simplify]: Simplify (+ 0 1) into 1 5.478 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.481 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 5.482 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.483 * [backup-simplify]: Simplify (+ 0 0) into 0 5.487 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.490 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 5.490 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.491 * [backup-simplify]: Simplify (+ 0 0) into 0 5.494 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.496 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- +nan.0) 5.496 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.497 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 N) 3)) (+ (* (- +nan.0) (pow (/ 1 N) 2)) (* (- +nan.0) (/ 1 N)))) into (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (* +nan.0 (/ 1 N))))))) 5.497 * [backup-simplify]: Simplify (/ (sqrt (+ 1 (/ 1 (- N)))) (/ 1 (- N))) into (* -1 (* N (sqrt (- 1 (/ 1 N))))) 5.497 * [approximate]: Taking taylor expansion of (* -1 (* N (sqrt (- 1 (/ 1 N))))) in (N) around 0 5.497 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1 (/ 1 N))))) in N 5.497 * [taylor]: Taking taylor expansion of -1 in N 5.497 * [backup-simplify]: Simplify -1 into -1 5.497 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1 (/ 1 N)))) in N 5.497 * [taylor]: Taking taylor expansion of N in N 5.497 * [backup-simplify]: Simplify 0 into 0 5.497 * [backup-simplify]: Simplify 1 into 1 5.497 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 5.497 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.497 * [taylor]: Taking taylor expansion of 1 in N 5.497 * [backup-simplify]: Simplify 1 into 1 5.497 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.498 * [taylor]: Taking taylor expansion of N in N 5.498 * [backup-simplify]: Simplify 0 into 0 5.498 * [backup-simplify]: Simplify 1 into 1 5.498 * [backup-simplify]: Simplify (/ 1 1) into 1 5.498 * [backup-simplify]: Simplify (- 1) into -1 5.498 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.499 * [backup-simplify]: Simplify (sqrt 0) into 0 5.499 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.499 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt (- 1 (/ 1 N))))) in N 5.499 * [taylor]: Taking taylor expansion of -1 in N 5.499 * [backup-simplify]: Simplify -1 into -1 5.499 * [taylor]: Taking taylor expansion of (* N (sqrt (- 1 (/ 1 N)))) in N 5.499 * [taylor]: Taking taylor expansion of N in N 5.499 * [backup-simplify]: Simplify 0 into 0 5.499 * [backup-simplify]: Simplify 1 into 1 5.499 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 5.499 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.499 * [taylor]: Taking taylor expansion of 1 in N 5.500 * [backup-simplify]: Simplify 1 into 1 5.500 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.500 * [taylor]: Taking taylor expansion of N in N 5.500 * [backup-simplify]: Simplify 0 into 0 5.500 * [backup-simplify]: Simplify 1 into 1 5.500 * [backup-simplify]: Simplify (/ 1 1) into 1 5.500 * [backup-simplify]: Simplify (- 1) into -1 5.500 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.501 * [backup-simplify]: Simplify (sqrt 0) into 0 5.501 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.502 * [backup-simplify]: Simplify (* 0 0) into 0 5.504 * [backup-simplify]: Simplify (* -1 0) into 0 5.504 * [backup-simplify]: Simplify 0 into 0 5.504 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (* 1 0)) into 0 5.505 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 0)) into 0 5.505 * [backup-simplify]: Simplify 0 into 0 5.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.505 * [backup-simplify]: Simplify (- 0) into 0 5.506 * [backup-simplify]: Simplify (+ 1 0) into 1 5.508 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.510 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (* 0 0))) into (- +nan.0) 5.511 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 0) (* 0 0))) into (- +nan.0) 5.511 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.512 * [backup-simplify]: Simplify (- 0) into 0 5.512 * [backup-simplify]: Simplify (+ 0 0) into 0 5.515 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.517 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 5.518 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0)))) into (- +nan.0) 5.519 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.519 * [backup-simplify]: Simplify (- 0) into 0 5.520 * [backup-simplify]: Simplify (+ 0 0) into 0 5.524 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.528 * [backup-simplify]: Simplify (+ (* 0 +nan.0) (+ (* 1 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- +nan.0) 5.531 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 (- +nan.0)) (+ (* 0 0) (* 0 0))))) into (- +nan.0) 5.531 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.533 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- N)) 3)) (+ (* (- +nan.0) (pow (/ 1 (- N)) 2)) (* (- +nan.0) (/ 1 (- N))))) into (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (* +nan.0 (/ 1 N))))))) 5.533 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1) 5.533 * [backup-simplify]: Simplify (sqrt (+ 1 N)) into (sqrt (+ N 1)) 5.533 * [approximate]: Taking taylor expansion of (sqrt (+ N 1)) in (N) around 0 5.533 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 5.533 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.533 * [taylor]: Taking taylor expansion of N in N 5.533 * [backup-simplify]: Simplify 0 into 0 5.533 * [backup-simplify]: Simplify 1 into 1 5.533 * [taylor]: Taking taylor expansion of 1 in N 5.533 * [backup-simplify]: Simplify 1 into 1 5.534 * [backup-simplify]: Simplify (+ 0 1) into 1 5.534 * [backup-simplify]: Simplify (sqrt 1) into 1 5.534 * [backup-simplify]: Simplify (+ 1 0) into 1 5.535 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 5.535 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 5.535 * [taylor]: Taking taylor expansion of (+ N 1) in N 5.535 * [taylor]: Taking taylor expansion of N in N 5.535 * [backup-simplify]: Simplify 0 into 0 5.535 * [backup-simplify]: Simplify 1 into 1 5.535 * [taylor]: Taking taylor expansion of 1 in N 5.535 * [backup-simplify]: Simplify 1 into 1 5.536 * [backup-simplify]: Simplify (+ 0 1) into 1 5.536 * [backup-simplify]: Simplify (sqrt 1) into 1 5.536 * [backup-simplify]: Simplify (+ 1 0) into 1 5.537 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 5.537 * [backup-simplify]: Simplify 1 into 1 5.537 * [backup-simplify]: Simplify 1/2 into 1/2 5.537 * [backup-simplify]: Simplify (+ 0 0) into 0 5.538 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 5.538 * [backup-simplify]: Simplify -1/8 into -1/8 5.539 * [backup-simplify]: Simplify (+ (* -1/8 (pow N 2)) (+ (* 1/2 N) 1)) into (- (+ (* 1/2 N) 1) (* 1/8 (pow N 2))) 5.539 * [backup-simplify]: Simplify (sqrt (+ 1 (/ 1 N))) into (sqrt (+ (/ 1 N) 1)) 5.539 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in (N) around 0 5.539 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 5.539 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.539 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.539 * [taylor]: Taking taylor expansion of N in N 5.539 * [backup-simplify]: Simplify 0 into 0 5.539 * [backup-simplify]: Simplify 1 into 1 5.539 * [backup-simplify]: Simplify (/ 1 1) into 1 5.539 * [taylor]: Taking taylor expansion of 1 in N 5.539 * [backup-simplify]: Simplify 1 into 1 5.540 * [backup-simplify]: Simplify (+ 1 0) into 1 5.540 * [backup-simplify]: Simplify (sqrt 0) into 0 5.541 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.541 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 5.542 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 5.542 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.542 * [taylor]: Taking taylor expansion of N in N 5.542 * [backup-simplify]: Simplify 0 into 0 5.542 * [backup-simplify]: Simplify 1 into 1 5.542 * [backup-simplify]: Simplify (/ 1 1) into 1 5.542 * [taylor]: Taking taylor expansion of 1 in N 5.542 * [backup-simplify]: Simplify 1 into 1 5.542 * [backup-simplify]: Simplify (+ 1 0) into 1 5.543 * [backup-simplify]: Simplify (sqrt 0) into 0 5.544 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 5.544 * [backup-simplify]: Simplify 0 into 0 5.544 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.545 * [backup-simplify]: Simplify (+ 0 1) into 1 5.548 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.548 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.550 * [backup-simplify]: Simplify (+ 0 0) into 0 5.553 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.553 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.554 * [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))))) 5.554 * [backup-simplify]: Simplify (sqrt (+ 1 (/ 1 (- N)))) into (sqrt (- 1 (/ 1 N))) 5.554 * [approximate]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in (N) around 0 5.554 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 5.554 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.554 * [taylor]: Taking taylor expansion of 1 in N 5.554 * [backup-simplify]: Simplify 1 into 1 5.554 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.554 * [taylor]: Taking taylor expansion of N in N 5.554 * [backup-simplify]: Simplify 0 into 0 5.554 * [backup-simplify]: Simplify 1 into 1 5.554 * [backup-simplify]: Simplify (/ 1 1) into 1 5.555 * [backup-simplify]: Simplify (- 1) into -1 5.555 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.556 * [backup-simplify]: Simplify (sqrt 0) into 0 5.557 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.557 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 5.557 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 5.557 * [taylor]: Taking taylor expansion of 1 in N 5.557 * [backup-simplify]: Simplify 1 into 1 5.557 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.557 * [taylor]: Taking taylor expansion of N in N 5.557 * [backup-simplify]: Simplify 0 into 0 5.557 * [backup-simplify]: Simplify 1 into 1 5.557 * [backup-simplify]: Simplify (/ 1 1) into 1 5.557 * [backup-simplify]: Simplify (- 1) into -1 5.558 * [backup-simplify]: Simplify (+ 0 -1) into -1 5.558 * [backup-simplify]: Simplify (sqrt 0) into 0 5.559 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.559 * [backup-simplify]: Simplify 0 into 0 5.559 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.560 * [backup-simplify]: Simplify (- 0) into 0 5.560 * [backup-simplify]: Simplify (+ 1 0) into 1 5.562 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.562 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.563 * [backup-simplify]: Simplify (- 0) into 0 5.563 * [backup-simplify]: Simplify (+ 0 0) into 0 5.565 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.565 * [backup-simplify]: Simplify +nan.0 into +nan.0 5.565 * [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))))) 5.565 * * * [progress]: simplifying candidates 5.565 * * * * [progress]: [ 1 / 164 ] simplifiying candidate # 5.565 * * * * [progress]: [ 2 / 164 ] simplifiying candidate # 5.565 * * * * [progress]: [ 3 / 164 ] simplifiying candidate # 5.566 * * * * [progress]: [ 4 / 164 ] simplifiying candidate # 5.566 * * * * [progress]: [ 5 / 164 ] simplifiying candidate # 5.566 * * * * [progress]: [ 6 / 164 ] simplifiying candidate # 5.566 * * * * [progress]: [ 7 / 164 ] simplifiying candidate # 5.566 * * * * [progress]: [ 8 / 164 ] simplifiying candidate # 5.566 * * * * [progress]: [ 9 / 164 ] simplifiying candidate # 5.566 * * * * [progress]: [ 10 / 164 ] simplifiying candidate # 5.566 * * * * [progress]: [ 11 / 164 ] simplifiying candidate # 5.566 * * * * [progress]: [ 12 / 164 ] simplifiying candidate # 5.566 * * * * [progress]: [ 13 / 164 ] simplifiying candidate # 5.566 * * * * [progress]: [ 14 / 164 ] simplifiying candidate # 5.566 * * * * [progress]: [ 15 / 164 ] simplifiying candidate # 5.566 * * * * [progress]: [ 16 / 164 ] simplifiying candidate # 5.566 * * * * [progress]: [ 17 / 164 ] simplifiying candidate # 5.566 * * * * [progress]: [ 18 / 164 ] simplifiying candidate # 5.566 * * * * [progress]: [ 19 / 164 ] simplifiying candidate # 5.566 * * * * [progress]: [ 20 / 164 ] simplifiying candidate # 5.566 * * * * [progress]: [ 21 / 164 ] simplifiying candidate # 5.566 * * * * [progress]: [ 22 / 164 ] simplifiying candidate # 5.566 * * * * [progress]: [ 23 / 164 ] simplifiying candidate # 5.566 * * * * [progress]: [ 24 / 164 ] simplifiying candidate # 5.566 * * * * [progress]: [ 25 / 164 ] simplifiying candidate # 5.566 * * * * [progress]: [ 26 / 164 ] simplifiying candidate # 5.566 * * * * [progress]: [ 27 / 164 ] simplifiying candidate # 5.566 * * * * [progress]: [ 28 / 164 ] simplifiying candidate # 5.566 * * * * [progress]: [ 29 / 164 ] simplifiying candidate # 5.567 * * * * [progress]: [ 30 / 164 ] simplifiying candidate # 5.567 * * * * [progress]: [ 31 / 164 ] simplifiying candidate # 5.567 * * * * [progress]: [ 32 / 164 ] simplifiying candidate # 5.567 * * * * [progress]: [ 33 / 164 ] simplifiying candidate # 5.567 * * * * [progress]: [ 34 / 164 ] simplifiying candidate # 5.567 * * * * [progress]: [ 35 / 164 ] simplifiying candidate # 5.567 * * * * [progress]: [ 36 / 164 ] simplifiying candidate # 5.567 * * * * [progress]: [ 37 / 164 ] simplifiying candidate # 5.567 * * * * [progress]: [ 38 / 164 ] simplifiying candidate # 5.567 * * * * [progress]: [ 39 / 164 ] simplifiying candidate # 5.567 * * * * [progress]: [ 40 / 164 ] simplifiying candidate # 5.567 * * * * [progress]: [ 41 / 164 ] simplifiying candidate # 5.567 * * * * [progress]: [ 42 / 164 ] simplifiying candidate # 5.567 * * * * [progress]: [ 43 / 164 ] simplifiying candidate # 5.567 * * * * [progress]: [ 44 / 164 ] simplifiying candidate # 5.567 * * * * [progress]: [ 45 / 164 ] simplifiying candidate # 5.567 * * * * [progress]: [ 46 / 164 ] simplifiying candidate # 5.567 * * * * [progress]: [ 47 / 164 ] simplifiying candidate # 5.567 * * * * [progress]: [ 48 / 164 ] simplifiying candidate # 5.567 * * * * [progress]: [ 49 / 164 ] simplifiying candidate # 5.567 * * * * [progress]: [ 50 / 164 ] simplifiying candidate # 5.567 * * * * [progress]: [ 51 / 164 ] simplifiying candidate # 5.567 * * * * [progress]: [ 52 / 164 ] simplifiying candidate # 5.567 * * * * [progress]: [ 53 / 164 ] simplifiying candidate # 5.568 * * * * [progress]: [ 54 / 164 ] simplifiying candidate # 5.568 * * * * [progress]: [ 55 / 164 ] simplifiying candidate # 5.568 * * * * [progress]: [ 56 / 164 ] simplifiying candidate # 5.568 * * * * [progress]: [ 57 / 164 ] simplifiying candidate # 5.568 * * * * [progress]: [ 58 / 164 ] simplifiying candidate #real (real->posit16 (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))))))> 5.568 * * * * [progress]: [ 59 / 164 ] simplifiying candidate # 5.568 * * * * [progress]: [ 60 / 164 ] simplifiying candidate # 5.568 * * * * [progress]: [ 61 / 164 ] simplifiying candidate # 5.568 * * * * [progress]: [ 62 / 164 ] simplifiying candidate # 5.568 * * * * [progress]: [ 63 / 164 ] simplifiying candidate # 5.568 * * * * [progress]: [ 64 / 164 ] simplifiying candidate # 5.568 * * * * [progress]: [ 65 / 164 ] simplifiying candidate # 5.568 * * * * [progress]: [ 66 / 164 ] simplifiying candidate # 5.568 * * * * [progress]: [ 67 / 164 ] simplifiying candidate # 5.568 * * * * [progress]: [ 68 / 164 ] simplifiying candidate # 5.568 * * * * [progress]: [ 69 / 164 ] simplifiying candidate # 5.568 * * * * [progress]: [ 70 / 164 ] simplifiying candidate # 5.568 * * * * [progress]: [ 71 / 164 ] simplifiying candidate # 5.568 * * * * [progress]: [ 72 / 164 ] simplifiying candidate # 5.568 * * * * [progress]: [ 73 / 164 ] simplifiying candidate # 5.568 * * * * [progress]: [ 74 / 164 ] simplifiying candidate # 5.568 * * * * [progress]: [ 75 / 164 ] simplifiying candidate # 5.568 * * * * [progress]: [ 76 / 164 ] simplifiying candidate # 5.568 * * * * [progress]: [ 77 / 164 ] simplifiying candidate # 5.568 * * * * [progress]: [ 78 / 164 ] simplifiying candidate # 5.568 * * * * [progress]: [ 79 / 164 ] simplifiying candidate # 5.568 * * * * [progress]: [ 80 / 164 ] simplifiying candidate # 5.569 * * * * [progress]: [ 81 / 164 ] simplifiying candidate # 5.569 * * * * [progress]: [ 82 / 164 ] simplifiying candidate #real (real->posit16 (log (sqrt (+ 1 N))))) (log (/ (sqrt (+ 1 N)) N))))> 5.569 * * * * [progress]: [ 83 / 164 ] simplifiying candidate # 5.569 * * * * [progress]: [ 84 / 164 ] simplifiying candidate # 5.569 * * * * [progress]: [ 85 / 164 ] simplifiying candidate # 5.569 * * * * [progress]: [ 86 / 164 ] simplifiying candidate # 5.569 * * * * [progress]: [ 87 / 164 ] simplifiying candidate # 5.569 * * * * [progress]: [ 88 / 164 ] simplifiying candidate # 5.569 * * * * [progress]: [ 89 / 164 ] simplifiying candidate # 5.569 * * * * [progress]: [ 90 / 164 ] simplifiying candidate # 5.569 * * * * [progress]: [ 91 / 164 ] simplifiying candidate # 5.569 * * * * [progress]: [ 92 / 164 ] simplifiying candidate # 5.569 * * * * [progress]: [ 93 / 164 ] simplifiying candidate # 5.569 * * * * [progress]: [ 94 / 164 ] simplifiying candidate # 5.569 * * * * [progress]: [ 95 / 164 ] simplifiying candidate # 5.569 * * * * [progress]: [ 96 / 164 ] simplifiying candidate # 5.569 * * * * [progress]: [ 97 / 164 ] simplifiying candidate # 5.569 * * * * [progress]: [ 98 / 164 ] simplifiying candidate # 5.569 * * * * [progress]: [ 99 / 164 ] simplifiying candidate # 5.569 * * * * [progress]: [ 100 / 164 ] simplifiying candidate # 5.569 * * * * [progress]: [ 101 / 164 ] simplifiying candidate # 5.569 * * * * [progress]: [ 102 / 164 ] simplifiying candidate # 5.569 * * * * [progress]: [ 103 / 164 ] simplifiying candidate # 5.569 * * * * [progress]: [ 104 / 164 ] simplifiying candidate # 5.569 * * * * [progress]: [ 105 / 164 ] simplifiying candidate # 5.569 * * * * [progress]: [ 106 / 164 ] simplifiying candidate # 5.570 * * * * [progress]: [ 107 / 164 ] simplifiying candidate # 5.570 * * * * [progress]: [ 108 / 164 ] simplifiying candidate # 5.570 * * * * [progress]: [ 109 / 164 ] simplifiying candidate # 5.570 * * * * [progress]: [ 110 / 164 ] simplifiying candidate # 5.570 * * * * [progress]: [ 111 / 164 ] simplifiying candidate # 5.570 * * * * [progress]: [ 112 / 164 ] simplifiying candidate # 5.570 * * * * [progress]: [ 113 / 164 ] simplifiying candidate # 5.570 * * * * [progress]: [ 114 / 164 ] simplifiying candidate # 5.570 * * * * [progress]: [ 115 / 164 ] simplifiying candidate # 5.570 * * * * [progress]: [ 116 / 164 ] simplifiying candidate # 5.570 * * * * [progress]: [ 117 / 164 ] simplifiying candidate # 5.570 * * * * [progress]: [ 118 / 164 ] simplifiying candidate # 5.570 * * * * [progress]: [ 119 / 164 ] simplifiying candidate # 5.570 * * * * [progress]: [ 120 / 164 ] simplifiying candidate # 5.570 * * * * [progress]: [ 121 / 164 ] simplifiying candidate # 5.570 * * * * [progress]: [ 122 / 164 ] simplifiying candidate # 5.570 * * * * [progress]: [ 123 / 164 ] simplifiying candidate # 5.570 * * * * [progress]: [ 124 / 164 ] simplifiying candidate # 5.570 * * * * [progress]: [ 125 / 164 ] simplifiying candidate # 5.570 * * * * [progress]: [ 126 / 164 ] simplifiying candidate # 5.570 * * * * [progress]: [ 127 / 164 ] simplifiying candidate # 5.570 * * * * [progress]: [ 128 / 164 ] simplifiying candidate # 5.571 * * * * [progress]: [ 129 / 164 ] simplifiying candidate # 5.571 * * * * [progress]: [ 130 / 164 ] simplifiying candidate #real (real->posit16 (/ (sqrt (+ 1 N)) N))))))> 5.571 * * * * [progress]: [ 131 / 164 ] simplifiying candidate # 5.571 * * * * [progress]: [ 132 / 164 ] simplifiying candidate # 5.571 * * * * [progress]: [ 133 / 164 ] simplifiying candidate # 5.571 * * * * [progress]: [ 134 / 164 ] simplifiying candidate # 5.571 * * * * [progress]: [ 135 / 164 ] simplifiying candidate # 5.571 * * * * [progress]: [ 136 / 164 ] simplifiying candidate # 5.571 * * * * [progress]: [ 137 / 164 ] simplifiying candidate # 5.571 * * * * [progress]: [ 138 / 164 ] simplifiying candidate # 5.571 * * * * [progress]: [ 139 / 164 ] simplifiying candidate # 5.571 * * * * [progress]: [ 140 / 164 ] simplifiying candidate # 5.571 * * * * [progress]: [ 141 / 164 ] simplifiying candidate # 5.571 * * * * [progress]: [ 142 / 164 ] simplifiying candidate # 5.571 * * * * [progress]: [ 143 / 164 ] simplifiying candidate # 5.571 * * * * [progress]: [ 144 / 164 ] simplifiying candidate # 5.571 * * * * [progress]: [ 145 / 164 ] simplifiying candidate # 5.571 * * * * [progress]: [ 146 / 164 ] simplifiying candidate # 5.571 * * * * [progress]: [ 147 / 164 ] simplifiying candidate # 5.571 * * * * [progress]: [ 148 / 164 ] simplifiying candidate # 5.571 * * * * [progress]: [ 149 / 164 ] simplifiying candidate # 5.571 * * * * [progress]: [ 150 / 164 ] simplifiying candidate # 5.571 * * * * [progress]: [ 151 / 164 ] simplifiying candidate # 5.571 * * * * [progress]: [ 152 / 164 ] simplifiying candidate #real (real->posit16 (sqrt (+ 1 N)))) N))))> 5.571 * * * * [progress]: [ 153 / 164 ] simplifiying candidate # 5.572 * * * * [progress]: [ 154 / 164 ] simplifiying candidate # 5.572 * * * * [progress]: [ 155 / 164 ] simplifiying candidate # 5.572 * * * * [progress]: [ 156 / 164 ] simplifiying candidate # 5.572 * * * * [progress]: [ 157 / 164 ] simplifiying candidate # 5.572 * * * * [progress]: [ 158 / 164 ] simplifiying candidate # 5.572 * * * * [progress]: [ 159 / 164 ] simplifiying candidate # 5.572 * * * * [progress]: [ 160 / 164 ] simplifiying candidate # 5.572 * * * * [progress]: [ 161 / 164 ] simplifiying candidate # 5.572 * * * * [progress]: [ 162 / 164 ] simplifiying candidate # 5.572 * * * * [progress]: [ 163 / 164 ] simplifiying candidate # 5.572 * * * * [progress]: [ 164 / 164 ] simplifiying candidate # 5.574 * [simplify]: Simplifying: (expm1 (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)))) (log1p (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)))) (* (sqrt (+ 1 N)) (/ (sqrt (+ 1 N)) N)) (log (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)))) (exp (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)))) (* (cbrt (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)))) (cbrt (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))))) (cbrt (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)))) (* (* (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)))) (sqrt (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)))) (sqrt (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N)))) (+ (pow (log (sqrt (+ 1 N))) 3) (pow (log (/ (sqrt (+ 1 N)) N)) 3)) (+ (* (log (sqrt (+ 1 N))) (log (sqrt (+ 1 N)))) (- (* (log (/ (sqrt (+ 1 N)) N)) (log (/ (sqrt (+ 1 N)) N))) (* (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))))) (- (* (log (sqrt (+ 1 N))) (log (sqrt (+ 1 N)))) (* (log (/ (sqrt (+ 1 N)) N)) (log (/ (sqrt (+ 1 N)) N)))) (- (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (+ 1 N)) N))) (+ (log (sqrt (+ 1 N))) (log (* (cbrt (/ (sqrt (+ 1 N)) N)) (cbrt (/ (sqrt (+ 1 N)) N))))) (+ (log (sqrt (+ 1 N))) (log (sqrt (/ (sqrt (+ 1 N)) N)))) (+ (log (sqrt (+ 1 N))) (log (/ (* (cbrt (sqrt (+ 1 N))) (cbrt (sqrt (+ 1 N)))) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ 1 N))) (log (/ (* (cbrt (sqrt (+ 1 N))) (cbrt (sqrt (+ 1 N)))) (sqrt N)))) (+ (log (sqrt (+ 1 N))) (log (/ (* (cbrt (sqrt (+ 1 N))) (cbrt (sqrt (+ 1 N)))) 1))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (sqrt N)))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) 1))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (sqrt (+ 1 N))) (* (cbrt N) (cbrt N))))) (+ (log (sqrt (+ 1 N))) (log (/ (sqrt (sqrt (+ 1 N))) (sqrt N)))) 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(sqrt (- 1 N))) (log (+ 1 N)) (log (sqrt (+ 1 N))) (log (+ 1 N)) (log (log (sqrt (+ 1 N)))) (exp (log (sqrt (+ 1 N)))) (* (cbrt (log (sqrt (+ 1 N)))) (cbrt (log (sqrt (+ 1 N))))) (cbrt (log (sqrt (+ 1 N)))) (* (* (log (sqrt (+ 1 N))) (log (sqrt (+ 1 N)))) (log (sqrt (+ 1 N)))) (sqrt (log (sqrt (+ 1 N)))) (sqrt (log (sqrt (+ 1 N)))) (real->posit16 (log (sqrt (+ 1 N)))) (expm1 (/ (sqrt (+ 1 N)) N)) (log1p (/ (sqrt (+ 1 N)) N)) (- (log (sqrt (+ 1 N))) (log N)) (log (/ (sqrt (+ 1 N)) N)) (exp (/ (sqrt (+ 1 N)) N)) (/ (* (* (sqrt (+ 1 N)) (sqrt (+ 1 N))) (sqrt (+ 1 N))) (* (* N N) N)) (* (cbrt (/ (sqrt (+ 1 N)) N)) (cbrt (/ (sqrt (+ 1 N)) N))) (cbrt (/ (sqrt (+ 1 N)) N)) (* (* (/ (sqrt (+ 1 N)) N) (/ (sqrt (+ 1 N)) N)) (/ (sqrt (+ 1 N)) N)) (sqrt (/ (sqrt (+ 1 N)) N)) (sqrt (/ (sqrt (+ 1 N)) N)) (- (sqrt (+ 1 N))) (- N) (/ (* (cbrt (sqrt (+ 1 N))) (cbrt (sqrt (+ 1 N)))) (* (cbrt N) (cbrt N))) (/ (cbrt (sqrt (+ 1 N))) (cbrt N)) (/ (* (cbrt (sqrt (+ 1 N))) (cbrt (sqrt (+ 1 N)))) (sqrt N)) (/ 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N)) (/ (sqrt (sqrt (+ 1 N))) (sqrt N)) (/ (sqrt (sqrt (+ 1 N))) 1) (/ (sqrt (sqrt (+ 1 N))) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (sqrt (+ 1 N)) (cbrt N)) (/ 1 (sqrt N)) (/ (sqrt (+ 1 N)) (sqrt N)) (/ 1 1) (/ (sqrt (+ 1 N)) N) (/ 1 N) (/ N (sqrt (+ 1 N))) (/ (sqrt (+ 1 N)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ 1 N)) (sqrt N)) (/ (sqrt (+ 1 N)) 1) (/ N (cbrt (sqrt (+ 1 N)))) (/ N (sqrt (cbrt (+ 1 N)))) (/ N (sqrt (sqrt (+ 1 N)))) (/ N (sqrt (+ 1 N))) (/ N (sqrt (+ 1 N))) (/ N (sqrt (sqrt (+ 1 N)))) (/ N (sqrt (+ 1 N))) (* N (sqrt (+ (* 1 1) (- (* N N) (* 1 N))))) (* N (sqrt (- 1 N))) (real->posit16 (/ (sqrt (+ 1 N)) N)) (expm1 (sqrt (+ 1 N))) (log1p (sqrt (+ 1 N))) (log (sqrt (+ 1 N))) (exp (sqrt (+ 1 N))) (* (cbrt (sqrt (+ 1 N))) (cbrt (sqrt (+ 1 N)))) (cbrt (sqrt (+ 1 N))) (* (* (sqrt (+ 1 N)) (sqrt (+ 1 N))) (sqrt (+ 1 N))) (sqrt (* (cbrt (+ 1 N)) (cbrt (+ 1 N)))) (sqrt (cbrt (+ 1 N))) (sqrt (sqrt (+ 1 N))) (sqrt (sqrt (+ 1 N))) (sqrt 1) (sqrt (+ 1 N)) (sqrt 1) (sqrt (+ 1 N)) (sqrt (+ (pow 1 3) (pow N 3))) (sqrt (+ (* 1 1) (- (* N N) (* 1 N)))) (sqrt (- (* 1 1) (* N N))) (sqrt (- 1 N)) (/ 1 2) (sqrt (sqrt (+ 1 N))) (sqrt (sqrt (+ 1 N))) (real->posit16 (sqrt (+ 1 N))) (- N (+ (log N) (* 1/2 (pow N 2)))) (- (+ (log (/ 1 N)) (+ (log +nan.0) (log (- +nan.0)))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) (- (+ (log (/ -1 N)) (+ (log (- +nan.0)) (log +nan.0))) (+ (* +nan.0 (/ 1 (pow N 2))) (- (* +nan.0 (/ 1 N))))) (- (+ (* 1/2 N) (* 1/6 (pow N 3))) (* 1/4 (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))))) (- (+ (/ 1 N) 1/2) (* 1/8 N)) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (* +nan.0 (/ 1 N))))))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (* +nan.0 (/ 1 N))))))) (- (+ (* 1/2 N) 1) (* 1/8 (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 N)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 N)) (- +nan.0))))) 5.576 * * [simplify]: iteration 0: 223 enodes 5.649 * * [simplify]: iteration 1: 479 enodes 5.897 * * [simplify]: iteration 2: 1234 enodes 6.819 * * [simplify]: iteration 3: 4875 enodes 7.896 * * [simplify]: iteration complete: 5000 enodes 7.896 * * [simplify]: Extracting #0: cost 116 inf + 0 7.901 * * [simplify]: Extracting #1: cost 703 inf + 3 7.906 * * [simplify]: Extracting #2: cost 1436 inf + 1551 7.921 * * [simplify]: Extracting #3: cost 1215 inf + 45001 7.962 * * [simplify]: Extracting #4: cost 911 inf + 110379 8.011 * * [simplify]: Extracting #5: cost 394 inf + 257503 8.099 * * [simplify]: Extracting #6: cost 30 inf + 382183 8.202 * * [simplify]: Extracting #7: cost 0 inf + 389333 8.306 * [simplify]: Simplified to: (expm1 (- (log1p N) (log N))) (log1p (- (log1p N) (log N))) (/ (+ 1 N) N) (log (- (log1p N) (log N))) (/ (+ 1 N) N) (* (cbrt (- (log1p N) (log N))) (cbrt (- (log1p N) (log N)))) (cbrt (- (log1p N) (log N))) (* (- (log1p N) (log N)) 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(log (/ (sqrt (+ 1 N)) N)) (log (sqrt (cbrt (+ 1 N))))) (+ (log (/ (sqrt (+ 1 N)) N)) (log (sqrt (sqrt (+ 1 N))))) (- (log1p N) (log N)) (- (log1p N) (log N)) (+ (log (/ (sqrt (+ 1 N)) N)) (log (sqrt (sqrt (+ 1 N))))) (- (log1p N) (log N)) (log1p N) (- (log (sqrt (- (fma N N 1) N))) (log (/ (sqrt (+ 1 N)) N))) (- (log (sqrt (- 1 N))) (log (/ (sqrt (+ 1 N)) N))) (real->posit16 (- (log1p N) (log N))) (expm1 (log (sqrt (+ 1 N)))) (log1p (log (sqrt (+ 1 N)))) (+ (log (cbrt (sqrt (+ 1 N)))) (log (cbrt (sqrt (+ 1 N))))) (log (cbrt (sqrt (+ 1 N)))) (log (fabs (cbrt (+ 1 N)))) (log (sqrt (cbrt (+ 1 N)))) (log (sqrt (sqrt (+ 1 N)))) (log (sqrt (sqrt (+ 1 N)))) 0 (log (sqrt (+ 1 N))) 0 (log (sqrt (+ 1 N))) (log (sqrt (sqrt (+ 1 N)))) (log (sqrt (sqrt (+ 1 N)))) 0 (log (sqrt (+ 1 N))) (log (sqrt (fma N (* N N) 1))) (log (sqrt (- (fma N N 1) N))) (log (sqrt (- 1 (* N N)))) (log (sqrt (- 1 N))) (log1p N) (log (sqrt (+ 1 N))) (log1p N) (log (log (sqrt (+ 1 N)))) (sqrt (+ 1 N)) (* (cbrt (log (sqrt (+ 1 N)))) (cbrt (log (sqrt (+ 1 N))))) (cbrt (log (sqrt (+ 1 N)))) (* (log (sqrt (+ 1 N))) (* (log (sqrt (+ 1 N))) (log (sqrt (+ 1 N))))) (sqrt (log (sqrt (+ 1 N)))) (sqrt (log (sqrt (+ 1 N)))) (real->posit16 (log (sqrt (+ 1 N)))) (expm1 (/ (sqrt (+ 1 N)) N)) (log1p (/ (sqrt (+ 1 N)) N)) (log (/ (sqrt (+ 1 N)) N)) (log (/ (sqrt (+ 1 N)) N)) (exp (/ (sqrt (+ 1 N)) N)) (* (/ (/ (+ 1 N) N) (* N N)) (sqrt (+ 1 N))) (* (cbrt (/ (sqrt (+ 1 N)) N)) (cbrt (/ (sqrt (+ 1 N)) N))) (cbrt (/ (sqrt (+ 1 N)) N)) (* (/ (/ (+ 1 N) N) (* N N)) (sqrt (+ 1 N))) (sqrt (/ (sqrt (+ 1 N)) N)) (sqrt (/ (sqrt (+ 1 N)) N)) (- (sqrt (+ 1 N))) (- N) (* (/ (cbrt (sqrt (+ 1 N))) (cbrt N)) (/ (cbrt (sqrt (+ 1 N))) (cbrt N))) (/ (cbrt (sqrt (+ 1 N))) (cbrt N)) (* (cbrt (sqrt (+ 1 N))) (/ (cbrt (sqrt (+ 1 N))) (sqrt N))) (/ (cbrt (sqrt (+ 1 N))) (sqrt N)) (* (cbrt (sqrt (+ 1 N))) (cbrt (sqrt (+ 1 N)))) (/ (cbrt (sqrt (+ 1 N))) N) (/ (/ (fabs (cbrt (+ 1 N))) (cbrt N)) (cbrt N)) (/ (sqrt (cbrt (+ 1 N))) (cbrt N)) (/ (fabs (cbrt (+ 1 N))) (sqrt N)) (/ (sqrt (cbrt (+ 1 N))) (sqrt N)) (fabs (cbrt (+ 1 N))) (/ (sqrt (cbrt (+ 1 N))) N) (/ (sqrt (sqrt (+ 1 N))) (* (cbrt N) (cbrt N))) (/ (sqrt (sqrt (+ 1 N))) (cbrt N)) (/ (sqrt (sqrt (+ 1 N))) (sqrt N)) (/ (sqrt (sqrt (+ 1 N))) (sqrt N)) (sqrt (sqrt (+ 1 N))) (/ (sqrt (sqrt (+ 1 N))) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (sqrt (+ 1 N)) (cbrt N)) (/ 1 (sqrt N)) (/ (sqrt (+ 1 N)) (sqrt N)) 1 (/ (sqrt (+ 1 N)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (sqrt (+ 1 N)) (cbrt N)) (/ 1 (sqrt N)) (/ (sqrt (+ 1 N)) (sqrt N)) 1 (/ (sqrt (+ 1 N)) N) (/ (sqrt (sqrt (+ 1 N))) (* (cbrt N) (cbrt N))) (/ (sqrt (sqrt (+ 1 N))) (cbrt N)) (/ (sqrt (sqrt (+ 1 N))) (sqrt N)) (/ (sqrt (sqrt (+ 1 N))) (sqrt N)) (sqrt (sqrt (+ 1 N))) (/ (sqrt (sqrt (+ 1 N))) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (sqrt (+ 1 N)) (cbrt N)) (/ 1 (sqrt N)) (/ (sqrt (+ 1 N)) (sqrt N)) 1 (/ (sqrt (+ 1 N)) N) (/ 1 N) (/ N (sqrt (+ 1 N))) (/ (sqrt (+ 1 N)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ 1 N)) (sqrt N)) (sqrt (+ 1 N)) (/ N (cbrt (sqrt (+ 1 N)))) (/ N (sqrt (cbrt (+ 1 N)))) (/ N (sqrt (sqrt (+ 1 N)))) (/ N (sqrt (+ 1 N))) (/ N (sqrt (+ 1 N))) (/ N (sqrt (sqrt (+ 1 N)))) (/ N (sqrt (+ 1 N))) (* (sqrt (- (fma N N 1) N)) N) (* (sqrt (- 1 N)) N) (real->posit16 (/ (sqrt (+ 1 N)) N)) (expm1 (sqrt (+ 1 N))) (log1p (sqrt (+ 1 N))) (log (sqrt (+ 1 N))) (exp (sqrt (+ 1 N))) (* (cbrt (sqrt (+ 1 N))) (cbrt (sqrt (+ 1 N)))) (cbrt (sqrt (+ 1 N))) (* (sqrt (+ 1 N)) (+ 1 N)) (fabs (cbrt (+ 1 N))) (sqrt (cbrt (+ 1 N))) (sqrt (sqrt (+ 1 N))) (sqrt (sqrt (+ 1 N))) 1 (sqrt (+ 1 N)) 1 (sqrt (+ 1 N)) (sqrt (fma N (* N N) 1)) (sqrt (- (fma N N 1) N)) (sqrt (- 1 (* N N))) (sqrt (- 1 N)) 1/2 (sqrt (sqrt (+ 1 N))) (sqrt (sqrt (+ 1 N))) (real->posit16 (sqrt (+ 1 N))) (- N (fma (* N N) 1/2 (log N))) (+ (- (+ (log (- +nan.0)) (- (log +nan.0) (log N))) (/ +nan.0 (* N N))) (/ +nan.0 N)) (- (+ (log +nan.0) (log (- +nan.0))) (- (fma (/ -1 N) +nan.0 (/ +nan.0 (* N N))) (log (/ -1 N)))) (fma (* N N) -1/4 (* N (+ (* 1/6 (* N N)) 1/2))) (+ (- (log +nan.0) (/ +nan.0 (* N N))) (/ +nan.0 N)) (+ (- (log +nan.0) (/ +nan.0 (* N N))) (/ +nan.0 N)) (+ (/ 1 N) (fma N -1/8 1/2)) (fma (/ -1 (* N N)) +nan.0 (- (/ +nan.0 (* (* N N) N)) (/ +nan.0 N))) (fma (/ -1 (* N N)) +nan.0 (- (/ +nan.0 (* (* N N) N)) (/ +nan.0 N))) (fma (* N N) -1/8 (fma N 1/2 1)) (- (- (/ +nan.0 N) (/ +nan.0 (* N N))) +nan.0) (- (- (/ +nan.0 N) (/ +nan.0 (* N N))) +nan.0) 8.315 * * * [progress]: adding candidates to table 9.013 * * [progress]: iteration 4 / 4 9.013 * * * [progress]: picking best candidate 9.022 * * * * [pick]: Picked # 9.022 * * * [progress]: localizing error 9.071 * * * [progress]: generating rewritten candidates 9.071 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 9.096 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 9.104 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 9.111 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 9.132 * * * [progress]: generating series expansions 9.132 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 9.132 * [backup-simplify]: Simplify (- (log (sqrt (+ 1 N))) (log (sqrt N))) into (- (log (sqrt (+ N 1))) (log (sqrt N))) 9.132 * [approximate]: Taking taylor expansion of (- (log (sqrt (+ N 1))) (log (sqrt N))) in (N) around 0 9.132 * [taylor]: Taking taylor expansion of (- (log (sqrt (+ N 1))) (log (sqrt N))) in N 9.133 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1))) in N 9.133 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 9.133 * [taylor]: Taking taylor expansion of (+ N 1) in N 9.133 * [taylor]: Taking taylor expansion of N in N 9.133 * [backup-simplify]: Simplify 0 into 0 9.133 * [backup-simplify]: Simplify 1 into 1 9.133 * [taylor]: Taking taylor expansion of 1 in N 9.133 * [backup-simplify]: Simplify 1 into 1 9.133 * [backup-simplify]: Simplify (+ 0 1) into 1 9.134 * [backup-simplify]: Simplify (sqrt 1) into 1 9.134 * [backup-simplify]: Simplify (+ 1 0) into 1 9.134 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 9.135 * [backup-simplify]: Simplify (log 1) into 0 9.135 * [taylor]: Taking taylor expansion of (log (sqrt N)) in N 9.135 * [taylor]: Taking taylor expansion of (sqrt N) in N 9.135 * [taylor]: Taking taylor expansion of N in N 9.135 * [backup-simplify]: Simplify 0 into 0 9.135 * [backup-simplify]: Simplify 1 into 1 9.135 * [backup-simplify]: Simplify (sqrt 0) into 0 9.136 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.136 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.136 * [taylor]: Taking taylor expansion of (- (log (sqrt (+ N 1))) (log (sqrt N))) in N 9.136 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1))) in N 9.136 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 9.136 * [taylor]: Taking taylor expansion of (+ N 1) in N 9.136 * [taylor]: Taking taylor expansion of N in N 9.136 * [backup-simplify]: Simplify 0 into 0 9.136 * [backup-simplify]: Simplify 1 into 1 9.136 * [taylor]: Taking taylor expansion of 1 in N 9.136 * [backup-simplify]: Simplify 1 into 1 9.137 * [backup-simplify]: Simplify (+ 0 1) into 1 9.137 * [backup-simplify]: Simplify (sqrt 1) into 1 9.137 * [backup-simplify]: Simplify (+ 1 0) into 1 9.137 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 9.138 * [backup-simplify]: Simplify (log 1) into 0 9.138 * [taylor]: Taking taylor expansion of (log (sqrt N)) in N 9.138 * [taylor]: Taking taylor expansion of (sqrt N) in N 9.138 * [taylor]: Taking taylor expansion of N in N 9.138 * [backup-simplify]: Simplify 0 into 0 9.138 * [backup-simplify]: Simplify 1 into 1 9.138 * [backup-simplify]: Simplify (sqrt 0) into 0 9.139 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.139 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.140 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log +nan.0)) into (+ (log N) (log +nan.0)) 9.140 * [backup-simplify]: Simplify (- (+ (log N) (log +nan.0))) into (- (+ (log N) (log +nan.0))) 9.140 * [backup-simplify]: Simplify (+ 0 (- (+ (log N) (log +nan.0)))) into (- (+ (log N) (log +nan.0))) 9.141 * [backup-simplify]: Simplify (- (+ (log N) (log +nan.0))) into (- (+ (log N) (log +nan.0))) 9.141 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 9.143 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.147 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 9.147 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.147 * [backup-simplify]: Simplify (+ 1/2 (- +nan.0)) into (- +nan.0) 9.148 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.148 * [backup-simplify]: Simplify (+ 0 0) into 0 9.149 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 9.150 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/4 9.153 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.169 * [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 9.170 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.171 * [backup-simplify]: Simplify (+ -1/4 (- +nan.0)) into (- +nan.0) 9.172 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.174 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow N 2)) (+ (* (- +nan.0) N) (- (+ (log N) (log +nan.0))))) into (- (+ (* +nan.0 N) (- (+ (log N) (log +nan.0)) (* +nan.0 (pow N 2))))) 9.174 * [backup-simplify]: Simplify (- (log (sqrt (+ 1 (/ 1 N)))) (log (sqrt (/ 1 N)))) into (- (log (sqrt (+ (/ 1 N) 1))) (log (sqrt (/ 1 N)))) 9.174 * [approximate]: Taking taylor expansion of (- (log (sqrt (+ (/ 1 N) 1))) (log (sqrt (/ 1 N)))) in (N) around 0 9.174 * [taylor]: Taking taylor expansion of (- (log (sqrt (+ (/ 1 N) 1))) (log (sqrt (/ 1 N)))) in N 9.174 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1))) in N 9.174 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 9.174 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 9.174 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.174 * [taylor]: Taking taylor expansion of N in N 9.174 * [backup-simplify]: Simplify 0 into 0 9.174 * [backup-simplify]: Simplify 1 into 1 9.175 * [backup-simplify]: Simplify (/ 1 1) into 1 9.175 * [taylor]: Taking taylor expansion of 1 in N 9.175 * [backup-simplify]: Simplify 1 into 1 9.175 * [backup-simplify]: Simplify (+ 1 0) into 1 9.176 * [backup-simplify]: Simplify (sqrt 0) into 0 9.177 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.178 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.178 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 N))) in N 9.178 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 9.178 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.178 * [taylor]: Taking taylor expansion of N in N 9.178 * [backup-simplify]: Simplify 0 into 0 9.178 * [backup-simplify]: Simplify 1 into 1 9.178 * [backup-simplify]: Simplify (/ 1 1) into 1 9.179 * [backup-simplify]: Simplify (sqrt 0) into 0 9.180 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.181 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.181 * [taylor]: Taking taylor expansion of (- (log (sqrt (+ (/ 1 N) 1))) (log (sqrt (/ 1 N)))) in N 9.181 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1))) in N 9.181 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 9.181 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 9.181 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.181 * [taylor]: Taking taylor expansion of N in N 9.181 * [backup-simplify]: Simplify 0 into 0 9.181 * [backup-simplify]: Simplify 1 into 1 9.182 * [backup-simplify]: Simplify (/ 1 1) into 1 9.182 * [taylor]: Taking taylor expansion of 1 in N 9.182 * [backup-simplify]: Simplify 1 into 1 9.182 * [backup-simplify]: Simplify (+ 1 0) into 1 9.183 * [backup-simplify]: Simplify (sqrt 0) into 0 9.185 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.185 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.185 * [taylor]: Taking taylor expansion of (log (sqrt (/ 1 N))) in N 9.185 * [taylor]: Taking taylor expansion of (sqrt (/ 1 N)) in N 9.185 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.185 * [taylor]: Taking taylor expansion of N in N 9.185 * [backup-simplify]: Simplify 0 into 0 9.185 * [backup-simplify]: Simplify 1 into 1 9.186 * [backup-simplify]: Simplify (/ 1 1) into 1 9.186 * [backup-simplify]: Simplify (sqrt 0) into 0 9.187 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.188 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.189 * [backup-simplify]: Simplify (- (log +nan.0)) into (- (log +nan.0)) 9.191 * [backup-simplify]: Simplify (+ (log +nan.0) (- (log +nan.0))) into 0 9.191 * [backup-simplify]: Simplify 0 into 0 9.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.192 * [backup-simplify]: Simplify (+ 0 1) into 1 9.195 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.199 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 9.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.202 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.205 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 9.206 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.206 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 9.206 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.207 * [backup-simplify]: Simplify (+ 0 0) into 0 9.210 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.218 * [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 9.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.221 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.229 * [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 9.230 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.230 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 9.231 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.232 * [backup-simplify]: Simplify (+ 0 0) into 0 9.237 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.263 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 +nan.0) 3)) (pow +nan.0 3))) (* -3 (/ (* (pow (* 1 +nan.0) 1) (pow (* 2 +nan.0) 1)) (pow +nan.0 2))) (* 1 (/ (* 1 1 (pow (* 6 +nan.0) 1)) (pow +nan.0 1)))) 6) into (* -1/6 (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0))) 9.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.269 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.299 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 +nan.0) 3)) (pow +nan.0 3))) (* -3 (/ (* (pow (* 1 +nan.0) 1) (pow (* 2 +nan.0) 1)) (pow +nan.0 2))) (* 1 (/ (* 1 1 (pow (* 6 +nan.0) 1)) (pow +nan.0 1)))) 6) into (* -1/6 (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0))) 9.306 * [backup-simplify]: Simplify (- (* -1/6 (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0)))) into (- (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0))) 9.317 * [backup-simplify]: Simplify (+ (* -1/6 (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0))) (- (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0)))) into (- (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0))) 9.322 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0))) 9.327 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0))) (pow (/ 1 N) 3)) (+ (* (- +nan.0) (pow (/ 1 N) 2)) (* (- +nan.0) (/ 1 N)))) into (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (+ (* +nan.0 (/ 1 (* (pow N 3) (pow +nan.0 2)))) (- (* +nan.0 (/ 1 N))))))))) 9.328 * [backup-simplify]: Simplify (- (log (sqrt (+ 1 (/ 1 (- N))))) (log (sqrt (/ 1 (- N))))) into (- (log (sqrt (- 1 (/ 1 N)))) (log (sqrt (/ -1 N)))) 9.328 * [approximate]: Taking taylor expansion of (- (log (sqrt (- 1 (/ 1 N)))) (log (sqrt (/ -1 N)))) in (N) around 0 9.328 * [taylor]: Taking taylor expansion of (- (log (sqrt (- 1 (/ 1 N)))) (log (sqrt (/ -1 N)))) in N 9.328 * [taylor]: Taking taylor expansion of (log (sqrt (- 1 (/ 1 N)))) in N 9.328 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 9.328 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 9.328 * [taylor]: Taking taylor expansion of 1 in N 9.328 * [backup-simplify]: Simplify 1 into 1 9.328 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.328 * [taylor]: Taking taylor expansion of N in N 9.328 * [backup-simplify]: Simplify 0 into 0 9.328 * [backup-simplify]: Simplify 1 into 1 9.328 * [backup-simplify]: Simplify (/ 1 1) into 1 9.329 * [backup-simplify]: Simplify (- 1) into -1 9.329 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.329 * [backup-simplify]: Simplify (sqrt 0) into 0 9.330 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.330 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.330 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 N))) in N 9.330 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 9.330 * [taylor]: Taking taylor expansion of (/ -1 N) in N 9.330 * [taylor]: Taking taylor expansion of -1 in N 9.331 * [backup-simplify]: Simplify -1 into -1 9.331 * [taylor]: Taking taylor expansion of N in N 9.331 * [backup-simplify]: Simplify 0 into 0 9.331 * [backup-simplify]: Simplify 1 into 1 9.331 * [backup-simplify]: Simplify (/ -1 1) into -1 9.331 * [backup-simplify]: Simplify (sqrt 0) into 0 9.332 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.332 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.332 * [taylor]: Taking taylor expansion of (- (log (sqrt (- 1 (/ 1 N)))) (log (sqrt (/ -1 N)))) in N 9.332 * [taylor]: Taking taylor expansion of (log (sqrt (- 1 (/ 1 N)))) in N 9.332 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 9.332 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 9.332 * [taylor]: Taking taylor expansion of 1 in N 9.332 * [backup-simplify]: Simplify 1 into 1 9.332 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.332 * [taylor]: Taking taylor expansion of N in N 9.332 * [backup-simplify]: Simplify 0 into 0 9.332 * [backup-simplify]: Simplify 1 into 1 9.332 * [backup-simplify]: Simplify (/ 1 1) into 1 9.333 * [backup-simplify]: Simplify (- 1) into -1 9.333 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.333 * [backup-simplify]: Simplify (sqrt 0) into 0 9.334 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.334 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.335 * [taylor]: Taking taylor expansion of (log (sqrt (/ -1 N))) in N 9.335 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 9.335 * [taylor]: Taking taylor expansion of (/ -1 N) in N 9.335 * [taylor]: Taking taylor expansion of -1 in N 9.335 * [backup-simplify]: Simplify -1 into -1 9.335 * [taylor]: Taking taylor expansion of N in N 9.335 * [backup-simplify]: Simplify 0 into 0 9.335 * [backup-simplify]: Simplify 1 into 1 9.335 * [backup-simplify]: Simplify (/ -1 1) into -1 9.335 * [backup-simplify]: Simplify (sqrt 0) into 0 9.336 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.336 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.337 * [backup-simplify]: Simplify (- (log +nan.0)) into (- (log +nan.0)) 9.338 * [backup-simplify]: Simplify (+ (log +nan.0) (- (log +nan.0))) into 0 9.338 * [backup-simplify]: Simplify 0 into 0 9.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.339 * [backup-simplify]: Simplify (- 0) into 0 9.339 * [backup-simplify]: Simplify (+ 1 0) into 1 9.341 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 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 9.347 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.350 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 9.350 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.351 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 9.351 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.352 * [backup-simplify]: Simplify (- 0) into 0 9.352 * [backup-simplify]: Simplify (+ 0 0) into 0 9.355 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.364 * [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 9.365 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.369 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.384 * [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 9.384 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.385 * [backup-simplify]: Simplify (+ +nan.0 (- +nan.0)) into (- +nan.0) 9.386 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.387 * [backup-simplify]: Simplify (- 0) into 0 9.387 * [backup-simplify]: Simplify (+ 0 0) into 0 9.393 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.423 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 +nan.0) 3)) (pow +nan.0 3))) (* -3 (/ (* (pow (* 1 +nan.0) 1) (pow (* 2 +nan.0) 1)) (pow +nan.0 2))) (* 1 (/ (* 1 1 (pow (* 6 +nan.0) 1)) (pow +nan.0 1)))) 6) into (* -1/6 (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0))) 9.424 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.429 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.455 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 +nan.0) 3)) (pow +nan.0 3))) (* -3 (/ (* (pow (* 1 +nan.0) 1) (pow (* 2 +nan.0) 1)) (pow +nan.0 2))) (* 1 (/ (* 1 1 (pow (* 6 +nan.0) 1)) (pow +nan.0 1)))) 6) into (* -1/6 (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0))) 9.461 * [backup-simplify]: Simplify (- (* -1/6 (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0)))) into (- (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0))) 9.468 * [backup-simplify]: Simplify (+ (* -1/6 (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0))) (- (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0)))) into (- (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0))) 9.471 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0))) 9.474 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (/ 1 (pow +nan.0 2))) (- +nan.0))) (pow (/ 1 (- N)) 3)) (+ (* (- +nan.0) (pow (/ 1 (- N)) 2)) (* (- +nan.0) (/ 1 (- N))))) into (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 3))) (- (+ (* +nan.0 (/ 1 (* (pow N 3) (pow +nan.0 2)))) (- (* +nan.0 (/ 1 N))))))))) 9.474 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 9.474 * [backup-simplify]: Simplify (log (/ (sqrt (+ 1 N)) (sqrt N))) into (log (sqrt (/ (+ N 1) N))) 9.474 * [approximate]: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in (N) around 0 9.474 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in N 9.474 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 9.474 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 9.474 * [taylor]: Taking taylor expansion of (+ N 1) in N 9.474 * [taylor]: Taking taylor expansion of N in N 9.474 * [backup-simplify]: Simplify 0 into 0 9.474 * [backup-simplify]: Simplify 1 into 1 9.474 * [taylor]: Taking taylor expansion of 1 in N 9.474 * [backup-simplify]: Simplify 1 into 1 9.475 * [taylor]: Taking taylor expansion of N in N 9.475 * [backup-simplify]: Simplify 0 into 0 9.475 * [backup-simplify]: Simplify 1 into 1 9.475 * [backup-simplify]: Simplify (+ 0 1) into 1 9.475 * [backup-simplify]: Simplify (/ 1 1) into 1 9.475 * [backup-simplify]: Simplify (sqrt 0) into 0 9.476 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.476 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.477 * [taylor]: Taking taylor expansion of (log (sqrt (/ (+ N 1) N))) in N 9.477 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 9.477 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 9.477 * [taylor]: Taking taylor expansion of (+ N 1) in N 9.477 * [taylor]: Taking taylor expansion of N in N 9.477 * [backup-simplify]: Simplify 0 into 0 9.477 * [backup-simplify]: Simplify 1 into 1 9.477 * [taylor]: Taking taylor expansion of 1 in N 9.477 * [backup-simplify]: Simplify 1 into 1 9.477 * [taylor]: Taking taylor expansion of N in N 9.477 * [backup-simplify]: Simplify 0 into 0 9.477 * [backup-simplify]: Simplify 1 into 1 9.477 * [backup-simplify]: Simplify (+ 0 1) into 1 9.477 * [backup-simplify]: Simplify (/ 1 1) into 1 9.477 * [backup-simplify]: Simplify (sqrt 0) into 0 9.478 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.478 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.479 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.479 * [backup-simplify]: Simplify (+ 1 0) into 1 9.480 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 9.481 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.485 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 9.485 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.485 * [backup-simplify]: Simplify (+ 0 0) into 0 9.486 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 9.488 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.499 * [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 9.499 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.500 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) (log +nan.0))) into (- (log +nan.0) (+ (* +nan.0 N) (- (* +nan.0 (pow N 2))))) 9.500 * [backup-simplify]: Simplify (log (/ (sqrt (+ 1 (/ 1 N))) (sqrt (/ 1 N)))) into (log (sqrt (* N (+ (/ 1 N) 1)))) 9.500 * [approximate]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in (N) around 0 9.500 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in N 9.500 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 9.500 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 9.500 * [taylor]: Taking taylor expansion of N in N 9.500 * [backup-simplify]: Simplify 0 into 0 9.500 * [backup-simplify]: Simplify 1 into 1 9.500 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 9.500 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.500 * [taylor]: Taking taylor expansion of N in N 9.500 * [backup-simplify]: Simplify 0 into 0 9.500 * [backup-simplify]: Simplify 1 into 1 9.501 * [backup-simplify]: Simplify (/ 1 1) into 1 9.501 * [taylor]: Taking taylor expansion of 1 in N 9.501 * [backup-simplify]: Simplify 1 into 1 9.501 * [backup-simplify]: Simplify (+ 1 0) into 1 9.502 * [backup-simplify]: Simplify (* 0 1) into 0 9.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.503 * [backup-simplify]: Simplify (+ 0 1) into 1 9.504 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 9.504 * [backup-simplify]: Simplify (sqrt 1) into 1 9.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.505 * [backup-simplify]: Simplify (+ 0 0) into 0 9.506 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 9.507 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 9.507 * [backup-simplify]: Simplify (log 1) into 0 9.507 * [taylor]: Taking taylor expansion of (log (sqrt (* N (+ (/ 1 N) 1)))) in N 9.507 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 9.507 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 9.507 * [taylor]: Taking taylor expansion of N in N 9.507 * [backup-simplify]: Simplify 0 into 0 9.507 * [backup-simplify]: Simplify 1 into 1 9.507 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 9.507 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.508 * [taylor]: Taking taylor expansion of N in N 9.508 * [backup-simplify]: Simplify 0 into 0 9.508 * [backup-simplify]: Simplify 1 into 1 9.508 * [backup-simplify]: Simplify (/ 1 1) into 1 9.508 * [taylor]: Taking taylor expansion of 1 in N 9.508 * [backup-simplify]: Simplify 1 into 1 9.509 * [backup-simplify]: Simplify (+ 1 0) into 1 9.509 * [backup-simplify]: Simplify (* 0 1) into 0 9.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.510 * [backup-simplify]: Simplify (+ 0 1) into 1 9.511 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 9.511 * [backup-simplify]: Simplify (sqrt 1) into 1 9.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.513 * [backup-simplify]: Simplify (+ 0 0) into 0 9.514 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 9.515 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 9.515 * [backup-simplify]: Simplify (log 1) into 0 9.515 * [backup-simplify]: Simplify 0 into 0 9.516 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 9.517 * [backup-simplify]: Simplify 1/2 into 1/2 9.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.518 * [backup-simplify]: Simplify (+ 0 0) into 0 9.519 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 9.520 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 9.523 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/4 9.523 * [backup-simplify]: Simplify -1/4 into -1/4 9.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.525 * [backup-simplify]: Simplify (+ 0 0) into 0 9.526 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 9.527 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 9.533 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1/2) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1/2) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 1/16) 1)) (pow 1 1)))) 6) into 1/6 9.533 * [backup-simplify]: Simplify 1/6 into 1/6 9.533 * [backup-simplify]: Simplify (+ (* 1/6 (pow (/ 1 N) 3)) (+ (* -1/4 (pow (/ 1 N) 2)) (* 1/2 (/ 1 N)))) into (- (+ (* 1/6 (/ 1 (pow N 3))) (* 1/2 (/ 1 N))) (* 1/4 (/ 1 (pow N 2)))) 9.533 * [backup-simplify]: Simplify (log (/ (sqrt (+ 1 (/ 1 (- N)))) (sqrt (/ 1 (- N))))) into (log (* (sqrt (- 1 (/ 1 N))) (/ 1 (sqrt (/ -1 N))))) 9.533 * [approximate]: Taking taylor expansion of (log (* (sqrt (- 1 (/ 1 N))) (/ 1 (sqrt (/ -1 N))))) in (N) around 0 9.533 * [taylor]: Taking taylor expansion of (log (* (sqrt (- 1 (/ 1 N))) (/ 1 (sqrt (/ -1 N))))) in N 9.533 * [taylor]: Taking taylor expansion of (* (sqrt (- 1 (/ 1 N))) (/ 1 (sqrt (/ -1 N)))) in N 9.533 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 9.533 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 9.533 * [taylor]: Taking taylor expansion of 1 in N 9.533 * [backup-simplify]: Simplify 1 into 1 9.534 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.534 * [taylor]: Taking taylor expansion of N in N 9.534 * [backup-simplify]: Simplify 0 into 0 9.534 * [backup-simplify]: Simplify 1 into 1 9.534 * [backup-simplify]: Simplify (/ 1 1) into 1 9.534 * [backup-simplify]: Simplify (- 1) into -1 9.534 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.535 * [backup-simplify]: Simplify (sqrt 0) into 0 9.536 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.536 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 9.536 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 9.536 * [taylor]: Taking taylor expansion of (/ -1 N) in N 9.536 * [taylor]: Taking taylor expansion of -1 in N 9.536 * [backup-simplify]: Simplify -1 into -1 9.536 * [taylor]: Taking taylor expansion of N in N 9.536 * [backup-simplify]: Simplify 0 into 0 9.536 * [backup-simplify]: Simplify 1 into 1 9.536 * [backup-simplify]: Simplify (/ -1 1) into -1 9.536 * [backup-simplify]: Simplify (sqrt 0) into 0 9.537 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.538 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 9.538 * [backup-simplify]: Simplify (* 0 +nan.0) into 0 9.540 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.542 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.543 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 9.544 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (* +nan.0 +nan.0)) into (- +nan.0) 9.544 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 9.544 * [taylor]: Taking taylor expansion of (log (* (sqrt (- 1 (/ 1 N))) (/ 1 (sqrt (/ -1 N))))) in N 9.544 * [taylor]: Taking taylor expansion of (* (sqrt (- 1 (/ 1 N))) (/ 1 (sqrt (/ -1 N)))) in N 9.544 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 9.544 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 9.545 * [taylor]: Taking taylor expansion of 1 in N 9.545 * [backup-simplify]: Simplify 1 into 1 9.545 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.545 * [taylor]: Taking taylor expansion of N in N 9.545 * [backup-simplify]: Simplify 0 into 0 9.545 * [backup-simplify]: Simplify 1 into 1 9.545 * [backup-simplify]: Simplify (/ 1 1) into 1 9.545 * [backup-simplify]: Simplify (- 1) into -1 9.546 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.546 * [backup-simplify]: Simplify (sqrt 0) into 0 9.547 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.547 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 9.547 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 9.547 * [taylor]: Taking taylor expansion of (/ -1 N) in N 9.547 * [taylor]: Taking taylor expansion of -1 in N 9.547 * [backup-simplify]: Simplify -1 into -1 9.547 * [taylor]: Taking taylor expansion of N in N 9.547 * [backup-simplify]: Simplify 0 into 0 9.547 * [backup-simplify]: Simplify 1 into 1 9.547 * [backup-simplify]: Simplify (/ -1 1) into -1 9.548 * [backup-simplify]: Simplify (sqrt 0) into 0 9.549 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.549 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 9.549 * [backup-simplify]: Simplify (* 0 +nan.0) into 0 9.550 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.552 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.553 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 9.554 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (* +nan.0 +nan.0)) into (- +nan.0) 9.554 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 9.555 * [backup-simplify]: Simplify (log (- +nan.0)) into (log (- +nan.0)) 9.555 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.558 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.560 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 9.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.561 * [backup-simplify]: Simplify (- 0) into 0 9.561 * [backup-simplify]: Simplify (+ 1 0) into 1 9.565 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.568 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.0))) into (- +nan.0) 9.577 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- +nan.0)) 1)) (pow (- +nan.0) 1)))) 1) into +nan.0 9.577 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.578 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.583 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.588 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 9.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.590 * [backup-simplify]: Simplify (- 0) into 0 9.590 * [backup-simplify]: Simplify (+ 0 0) into 0 9.594 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.600 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.0)))) into (- +nan.0) 9.618 * [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 9.618 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.619 * [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))))) 9.620 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 9.620 * [backup-simplify]: Simplify (log (sqrt (+ 1 N))) into (log (sqrt (+ N 1))) 9.620 * [approximate]: Taking taylor expansion of (log (sqrt (+ N 1))) in (N) around 0 9.620 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1))) in N 9.620 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 9.620 * [taylor]: Taking taylor expansion of (+ N 1) in N 9.620 * [taylor]: Taking taylor expansion of N in N 9.620 * [backup-simplify]: Simplify 0 into 0 9.620 * [backup-simplify]: Simplify 1 into 1 9.620 * [taylor]: Taking taylor expansion of 1 in N 9.620 * [backup-simplify]: Simplify 1 into 1 9.620 * [backup-simplify]: Simplify (+ 0 1) into 1 9.621 * [backup-simplify]: Simplify (sqrt 1) into 1 9.621 * [backup-simplify]: Simplify (+ 1 0) into 1 9.621 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 9.622 * [backup-simplify]: Simplify (log 1) into 0 9.622 * [taylor]: Taking taylor expansion of (log (sqrt (+ N 1))) in N 9.622 * [taylor]: Taking taylor expansion of (sqrt (+ N 1)) in N 9.622 * [taylor]: Taking taylor expansion of (+ N 1) in N 9.622 * [taylor]: Taking taylor expansion of N in N 9.622 * [backup-simplify]: Simplify 0 into 0 9.622 * [backup-simplify]: Simplify 1 into 1 9.622 * [taylor]: Taking taylor expansion of 1 in N 9.622 * [backup-simplify]: Simplify 1 into 1 9.622 * [backup-simplify]: Simplify (+ 0 1) into 1 9.622 * [backup-simplify]: Simplify (sqrt 1) into 1 9.623 * [backup-simplify]: Simplify (+ 1 0) into 1 9.623 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 9.623 * [backup-simplify]: Simplify (log 1) into 0 9.623 * [backup-simplify]: Simplify 0 into 0 9.624 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1/2) 1)) (pow 1 1)))) 1) into 1/2 9.624 * [backup-simplify]: Simplify 1/2 into 1/2 9.624 * [backup-simplify]: Simplify (+ 0 0) into 0 9.625 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 9.627 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/4 9.627 * [backup-simplify]: Simplify -1/4 into -1/4 9.627 * [backup-simplify]: Simplify (+ 0 0) into 0 9.628 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 1/2 -1/8)))) (* 2 1)) into 1/16 9.631 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1/2) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1/2) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 1/16) 1)) (pow 1 1)))) 6) into 1/6 9.631 * [backup-simplify]: Simplify 1/6 into 1/6 9.631 * [backup-simplify]: Simplify (+ (* 1/6 (pow N 3)) (+ (* -1/4 (pow N 2)) (* 1/2 N))) into (- (+ (* 1/2 N) (* 1/6 (pow N 3))) (* 1/4 (pow N 2))) 9.632 * [backup-simplify]: Simplify (log (sqrt (+ 1 (/ 1 N)))) into (log (sqrt (+ (/ 1 N) 1))) 9.632 * [approximate]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1))) in (N) around 0 9.632 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1))) in N 9.632 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 9.632 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 9.632 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.632 * [taylor]: Taking taylor expansion of N in N 9.632 * [backup-simplify]: Simplify 0 into 0 9.632 * [backup-simplify]: Simplify 1 into 1 9.632 * [backup-simplify]: Simplify (/ 1 1) into 1 9.632 * [taylor]: Taking taylor expansion of 1 in N 9.632 * [backup-simplify]: Simplify 1 into 1 9.632 * [backup-simplify]: Simplify (+ 1 0) into 1 9.633 * [backup-simplify]: Simplify (sqrt 0) into 0 9.634 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.634 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.634 * [taylor]: Taking taylor expansion of (log (sqrt (+ (/ 1 N) 1))) in N 9.634 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 N) 1)) in N 9.634 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 9.634 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.634 * [taylor]: Taking taylor expansion of N in N 9.634 * [backup-simplify]: Simplify 0 into 0 9.634 * [backup-simplify]: Simplify 1 into 1 9.634 * [backup-simplify]: Simplify (/ 1 1) into 1 9.634 * [taylor]: Taking taylor expansion of 1 in N 9.634 * [backup-simplify]: Simplify 1 into 1 9.634 * [backup-simplify]: Simplify (+ 1 0) into 1 9.635 * [backup-simplify]: Simplify (sqrt 0) into 0 9.636 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.636 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.636 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.637 * [backup-simplify]: Simplify (+ 0 1) into 1 9.639 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.642 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 9.642 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.643 * [backup-simplify]: Simplify (+ 0 0) into 0 9.646 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.660 * [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 9.660 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.661 * [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))))) 9.661 * [backup-simplify]: Simplify (log (sqrt (+ 1 (/ 1 (- N))))) into (log (sqrt (- 1 (/ 1 N)))) 9.661 * [approximate]: Taking taylor expansion of (log (sqrt (- 1 (/ 1 N)))) in (N) around 0 9.661 * [taylor]: Taking taylor expansion of (log (sqrt (- 1 (/ 1 N)))) in N 9.661 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 9.661 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 9.661 * [taylor]: Taking taylor expansion of 1 in N 9.661 * [backup-simplify]: Simplify 1 into 1 9.661 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.661 * [taylor]: Taking taylor expansion of N in N 9.662 * [backup-simplify]: Simplify 0 into 0 9.662 * [backup-simplify]: Simplify 1 into 1 9.662 * [backup-simplify]: Simplify (/ 1 1) into 1 9.662 * [backup-simplify]: Simplify (- 1) into -1 9.663 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.663 * [backup-simplify]: Simplify (sqrt 0) into 0 9.665 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.665 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.665 * [taylor]: Taking taylor expansion of (log (sqrt (- 1 (/ 1 N)))) in N 9.666 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 9.666 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 9.666 * [taylor]: Taking taylor expansion of 1 in N 9.666 * [backup-simplify]: Simplify 1 into 1 9.666 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.666 * [taylor]: Taking taylor expansion of N in N 9.666 * [backup-simplify]: Simplify 0 into 0 9.666 * [backup-simplify]: Simplify 1 into 1 9.666 * [backup-simplify]: Simplify (/ 1 1) into 1 9.667 * [backup-simplify]: Simplify (- 1) into -1 9.667 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.667 * [backup-simplify]: Simplify (sqrt 0) into 0 9.669 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.669 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.669 * [backup-simplify]: Simplify (log +nan.0) into (log +nan.0) 9.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.670 * [backup-simplify]: Simplify (- 0) into 0 9.670 * [backup-simplify]: Simplify (+ 1 0) into 1 9.672 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.676 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 +nan.0) 1)) (pow +nan.0 1)))) 1) into +nan.0 9.676 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.677 * [backup-simplify]: Simplify (- 0) into 0 9.677 * [backup-simplify]: Simplify (+ 0 0) into 0 9.679 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.687 * [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 9.687 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.688 * [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))))) 9.688 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 9.688 * [backup-simplify]: Simplify (/ (sqrt (+ 1 N)) (sqrt N)) into (sqrt (/ (+ N 1) N)) 9.688 * [approximate]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in (N) around 0 9.688 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 9.688 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 9.688 * [taylor]: Taking taylor expansion of (+ N 1) in N 9.688 * [taylor]: Taking taylor expansion of N in N 9.688 * [backup-simplify]: Simplify 0 into 0 9.688 * [backup-simplify]: Simplify 1 into 1 9.688 * [taylor]: Taking taylor expansion of 1 in N 9.688 * [backup-simplify]: Simplify 1 into 1 9.688 * [taylor]: Taking taylor expansion of N in N 9.688 * [backup-simplify]: Simplify 0 into 0 9.688 * [backup-simplify]: Simplify 1 into 1 9.689 * [backup-simplify]: Simplify (+ 0 1) into 1 9.689 * [backup-simplify]: Simplify (/ 1 1) into 1 9.689 * [backup-simplify]: Simplify (sqrt 0) into 0 9.690 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.690 * [taylor]: Taking taylor expansion of (sqrt (/ (+ N 1) N)) in N 9.690 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 9.690 * [taylor]: Taking taylor expansion of (+ N 1) in N 9.690 * [taylor]: Taking taylor expansion of N in N 9.690 * [backup-simplify]: Simplify 0 into 0 9.690 * [backup-simplify]: Simplify 1 into 1 9.690 * [taylor]: Taking taylor expansion of 1 in N 9.690 * [backup-simplify]: Simplify 1 into 1 9.690 * [taylor]: Taking taylor expansion of N in N 9.690 * [backup-simplify]: Simplify 0 into 0 9.690 * [backup-simplify]: Simplify 1 into 1 9.690 * [backup-simplify]: Simplify (+ 0 1) into 1 9.691 * [backup-simplify]: Simplify (/ 1 1) into 1 9.691 * [backup-simplify]: Simplify (sqrt 0) into 0 9.692 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 9.692 * [backup-simplify]: Simplify 0 into 0 9.692 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.692 * [backup-simplify]: Simplify (+ 1 0) into 1 9.693 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 9.695 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.695 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.695 * [backup-simplify]: Simplify (+ 0 0) into 0 9.695 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 9.698 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.698 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.699 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) +nan.0)) into (- (+ (* +nan.0 N) (- (+ (* +nan.0 (pow N 2)) (- +nan.0))))) 9.699 * [backup-simplify]: Simplify (/ (sqrt (+ 1 (/ 1 N))) (sqrt (/ 1 N))) into (sqrt (* N (+ (/ 1 N) 1))) 9.699 * [approximate]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in (N) around 0 9.699 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 9.699 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 9.699 * [taylor]: Taking taylor expansion of N in N 9.699 * [backup-simplify]: Simplify 0 into 0 9.699 * [backup-simplify]: Simplify 1 into 1 9.699 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 9.699 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.699 * [taylor]: Taking taylor expansion of N in N 9.699 * [backup-simplify]: Simplify 0 into 0 9.699 * [backup-simplify]: Simplify 1 into 1 9.700 * [backup-simplify]: Simplify (/ 1 1) into 1 9.700 * [taylor]: Taking taylor expansion of 1 in N 9.700 * [backup-simplify]: Simplify 1 into 1 9.700 * [backup-simplify]: Simplify (+ 1 0) into 1 9.701 * [backup-simplify]: Simplify (* 0 1) into 0 9.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.702 * [backup-simplify]: Simplify (+ 0 1) into 1 9.702 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 9.703 * [backup-simplify]: Simplify (sqrt 1) into 1 9.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.704 * [backup-simplify]: Simplify (+ 0 0) into 0 9.705 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 9.705 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 9.705 * [taylor]: Taking taylor expansion of (sqrt (* N (+ (/ 1 N) 1))) in N 9.705 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 9.705 * [taylor]: Taking taylor expansion of N in N 9.705 * [backup-simplify]: Simplify 0 into 0 9.705 * [backup-simplify]: Simplify 1 into 1 9.705 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 9.705 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.705 * [taylor]: Taking taylor expansion of N in N 9.705 * [backup-simplify]: Simplify 0 into 0 9.705 * [backup-simplify]: Simplify 1 into 1 9.706 * [backup-simplify]: Simplify (/ 1 1) into 1 9.706 * [taylor]: Taking taylor expansion of 1 in N 9.706 * [backup-simplify]: Simplify 1 into 1 9.706 * [backup-simplify]: Simplify (+ 1 0) into 1 9.706 * [backup-simplify]: Simplify (* 0 1) into 0 9.707 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.707 * [backup-simplify]: Simplify (+ 0 1) into 1 9.708 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 9.708 * [backup-simplify]: Simplify (sqrt 1) into 1 9.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.709 * [backup-simplify]: Simplify (+ 0 0) into 0 9.709 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 9.710 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 9.710 * [backup-simplify]: Simplify 1 into 1 9.710 * [backup-simplify]: Simplify 1/2 into 1/2 9.710 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.710 * [backup-simplify]: Simplify (+ 0 0) into 0 9.711 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 9.712 * [backup-simplify]: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 9.712 * [backup-simplify]: Simplify -1/8 into -1/8 9.712 * [backup-simplify]: Simplify (+ (* -1/8 (pow (/ 1 N) 2)) (+ (* 1/2 (/ 1 N)) 1)) into (- (+ (* 1/2 (/ 1 N)) 1) (* 1/8 (/ 1 (pow N 2)))) 9.712 * [backup-simplify]: Simplify (/ (sqrt (+ 1 (/ 1 (- N)))) (sqrt (/ 1 (- N)))) into (* (sqrt (- 1 (/ 1 N))) (/ 1 (sqrt (/ -1 N)))) 9.712 * [approximate]: Taking taylor expansion of (* (sqrt (- 1 (/ 1 N))) (/ 1 (sqrt (/ -1 N)))) in (N) around 0 9.712 * [taylor]: Taking taylor expansion of (* (sqrt (- 1 (/ 1 N))) (/ 1 (sqrt (/ -1 N)))) in N 9.712 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 9.712 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 9.712 * [taylor]: Taking taylor expansion of 1 in N 9.712 * [backup-simplify]: Simplify 1 into 1 9.712 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.712 * [taylor]: Taking taylor expansion of N in N 9.712 * [backup-simplify]: Simplify 0 into 0 9.712 * [backup-simplify]: Simplify 1 into 1 9.713 * [backup-simplify]: Simplify (/ 1 1) into 1 9.713 * [backup-simplify]: Simplify (- 1) into -1 9.713 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.713 * [backup-simplify]: Simplify (sqrt 0) into 0 9.714 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.714 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 9.714 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 9.714 * [taylor]: Taking taylor expansion of (/ -1 N) in N 9.714 * [taylor]: Taking taylor expansion of -1 in N 9.714 * [backup-simplify]: Simplify -1 into -1 9.714 * [taylor]: Taking taylor expansion of N in N 9.714 * [backup-simplify]: Simplify 0 into 0 9.714 * [backup-simplify]: Simplify 1 into 1 9.715 * [backup-simplify]: Simplify (/ -1 1) into -1 9.715 * [backup-simplify]: Simplify (sqrt 0) into 0 9.716 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.716 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 9.716 * [taylor]: Taking taylor expansion of (* (sqrt (- 1 (/ 1 N))) (/ 1 (sqrt (/ -1 N)))) in N 9.716 * [taylor]: Taking taylor expansion of (sqrt (- 1 (/ 1 N))) in N 9.716 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 9.716 * [taylor]: Taking taylor expansion of 1 in N 9.716 * [backup-simplify]: Simplify 1 into 1 9.716 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.716 * [taylor]: Taking taylor expansion of N in N 9.716 * [backup-simplify]: Simplify 0 into 0 9.716 * [backup-simplify]: Simplify 1 into 1 9.716 * [backup-simplify]: Simplify (/ 1 1) into 1 9.717 * [backup-simplify]: Simplify (- 1) into -1 9.717 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.717 * [backup-simplify]: Simplify (sqrt 0) into 0 9.718 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.718 * [taylor]: Taking taylor expansion of (/ 1 (sqrt (/ -1 N))) in N 9.718 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 9.718 * [taylor]: Taking taylor expansion of (/ -1 N) in N 9.718 * [taylor]: Taking taylor expansion of -1 in N 9.718 * [backup-simplify]: Simplify -1 into -1 9.718 * [taylor]: Taking taylor expansion of N in N 9.718 * [backup-simplify]: Simplify 0 into 0 9.718 * [backup-simplify]: Simplify 1 into 1 9.718 * [backup-simplify]: Simplify (/ -1 1) into -1 9.719 * [backup-simplify]: Simplify (sqrt 0) into 0 9.719 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 9.720 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 9.720 * [backup-simplify]: Simplify (* 0 +nan.0) into 0 9.720 * [backup-simplify]: Simplify 0 into 0 9.721 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 9.722 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.723 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 9.724 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (* +nan.0 +nan.0)) into (- +nan.0) 9.725 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.725 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.728 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.730 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 9.731 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.731 * [backup-simplify]: Simplify (- 0) into 0 9.731 * [backup-simplify]: Simplify (+ 1 0) into 1 9.733 * [backup-simplify]: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.737 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.0))) into (- +nan.0) 9.737 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.738 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.744 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.749 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 9.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.750 * [backup-simplify]: Simplify (- 0) into 0 9.751 * [backup-simplify]: Simplify (+ 0 0) into 0 9.755 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.762 * [backup-simplify]: Simplify (+ (* 0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (+ (* +nan.0 (- +nan.0)) (* +nan.0 +nan.0)))) into (- +nan.0) 9.763 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 9.764 * [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))))) 9.764 * * * [progress]: simplifying candidates 9.764 * * * * [progress]: [ 1 / 247 ] simplifiying candidate # 9.765 * * * * [progress]: [ 2 / 247 ] simplifiying candidate # 9.765 * * * * [progress]: [ 3 / 247 ] simplifiying candidate # 9.765 * * * * [progress]: [ 4 / 247 ] simplifiying candidate # 9.765 * * * * [progress]: [ 5 / 247 ] simplifiying candidate # 9.765 * * * * [progress]: [ 6 / 247 ] simplifiying candidate # 9.765 * * * * [progress]: [ 7 / 247 ] simplifiying candidate # 9.765 * * * * [progress]: [ 8 / 247 ] simplifiying candidate # 9.765 * * * * [progress]: [ 9 / 247 ] simplifiying candidate # 9.765 * * * * [progress]: [ 10 / 247 ] simplifiying candidate # 9.765 * * * * [progress]: [ 11 / 247 ] simplifiying candidate # 9.765 * * * * [progress]: [ 12 / 247 ] simplifiying candidate # 9.765 * * * * [progress]: [ 13 / 247 ] simplifiying candidate # 9.765 * * * * [progress]: [ 14 / 247 ] simplifiying candidate # 9.766 * * * * [progress]: [ 15 / 247 ] simplifiying candidate # 9.766 * * * * [progress]: [ 16 / 247 ] simplifiying candidate # 9.766 * * * * [progress]: [ 17 / 247 ] simplifiying candidate # 9.766 * * * * [progress]: [ 18 / 247 ] simplifiying candidate # 9.766 * * * * [progress]: [ 19 / 247 ] simplifiying candidate # 9.766 * * * * [progress]: [ 20 / 247 ] simplifiying candidate # 9.766 * * * * [progress]: [ 21 / 247 ] simplifiying candidate # 9.766 * * * * [progress]: [ 22 / 247 ] simplifiying candidate # 9.766 * * * * [progress]: [ 23 / 247 ] 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#real (real->posit16 (/ (sqrt (+ 1 N)) (sqrt N)))))))> 9.776 * * * * [progress]: [ 236 / 247 ] simplifiying candidate # 9.776 * * * * [progress]: [ 237 / 247 ] simplifiying candidate # 9.776 * * * * [progress]: [ 238 / 247 ] simplifiying candidate # 9.777 * * * * [progress]: [ 239 / 247 ] simplifiying candidate # 9.777 * * * * [progress]: [ 240 / 247 ] simplifiying candidate # 9.777 * * * * [progress]: [ 241 / 247 ] simplifiying candidate # 9.777 * * * * [progress]: [ 242 / 247 ] simplifiying candidate # 9.777 * * * * [progress]: [ 243 / 247 ] simplifiying candidate # 9.777 * * * * [progress]: [ 244 / 247 ] simplifiying candidate # 9.777 * * * * [progress]: [ 245 / 247 ] simplifiying candidate # 9.777 * * * * [progress]: [ 246 / 247 ] simplifiying candidate # 9.777 * * * * [progress]: [ 247 / 247 ] simplifiying candidate # 9.779 * [simplify]: Simplifying: (fma 1/2 (log (+ 1 N)) (- (* (log N) 1/2))) (fma (- (log N)) 1/2 (* (log N) 1/2)) (fma 1/2 (log (+ 1 N)) (- (* (log (sqrt N)) 1))) (fma (- (log (sqrt N))) 1 (* (log (sqrt N)) 1)) (fma 1/2 (log (+ 1 N)) (- (* (log N) (/ 1 2)))) (fma (- (log N)) (/ 1 2) (* (log N) (/ 1 2))) (fma 1/2 (log (+ 1 N)) (- (* (cbrt (log (sqrt N))) (* (cbrt (log (sqrt N))) (cbrt (log (sqrt N))))))) (fma (- (cbrt (log (sqrt N)))) (* (cbrt (log (sqrt N))) (cbrt (log (sqrt N)))) (* (cbrt (log (sqrt N))) (* (cbrt (log (sqrt N))) (cbrt (log (sqrt N)))))) (fma 1/2 (log (+ 1 N)) (- (* (sqrt (log (sqrt N))) (sqrt (log (sqrt N)))))) (fma (- (sqrt (log (sqrt N)))) (sqrt (log (sqrt N))) (* (sqrt (log (sqrt N))) (sqrt (log (sqrt N))))) (fma 1/2 (log (+ 1 N)) (- (* (log (sqrt N)) 1))) (fma (- (log (sqrt N))) 1 (* (log (sqrt N)) 1)) (fma 1 (log (sqrt (+ 1 N))) (- (* (log N) 1/2))) (fma (- (log N)) 1/2 (* (log N) 1/2)) (fma 1 (log (sqrt (+ 1 N))) (- (* (log (sqrt N)) 1))) (fma (- (log (sqrt N))) 1 (* (log (sqrt N)) 1)) (fma 1 (log (sqrt (+ 1 N))) (- (* (log N) (/ 1 2)))) (fma (- (log N)) (/ 1 2) (* (log N) (/ 1 2))) (fma 1 (log (sqrt (+ 1 N))) (- (* (cbrt (log (sqrt N))) (* (cbrt (log (sqrt N))) (cbrt (log (sqrt N))))))) (fma (- (cbrt (log (sqrt N)))) (* (cbrt (log (sqrt N))) (cbrt (log (sqrt N)))) (* (cbrt (log (sqrt N))) (* (cbrt (log (sqrt N))) (cbrt (log (sqrt N)))))) (fma 1 (log (sqrt (+ 1 N))) (- (* (sqrt (log (sqrt N))) (sqrt (log (sqrt N)))))) (fma (- (sqrt (log (sqrt N)))) (sqrt (log (sqrt N))) (* (sqrt (log (sqrt N))) (sqrt (log (sqrt N))))) (fma 1 (log (sqrt (+ 1 N))) (- (* (log (sqrt N)) 1))) (fma (- (log (sqrt N))) 1 (* (log (sqrt N)) 1)) (fma (/ 1 2) (log (+ 1 N)) (- (* (log N) 1/2))) (fma (- (log N)) 1/2 (* (log N) 1/2)) (fma (/ 1 2) (log (+ 1 N)) (- (* (log (sqrt N)) 1))) (fma (- (log (sqrt N))) 1 (* (log (sqrt N)) 1)) (fma (/ 1 2) (log (+ 1 N)) (- (* (log N) (/ 1 2)))) (fma (- (log N)) (/ 1 2) (* (log N) (/ 1 2))) (fma (/ 1 2) (log (+ 1 N)) (- (* (cbrt (log (sqrt N))) (* (cbrt (log (sqrt N))) (cbrt (log (sqrt N))))))) (fma (- (cbrt (log (sqrt N)))) (* (cbrt (log (sqrt N))) (cbrt (log (sqrt N)))) (* (cbrt (log (sqrt N))) (* (cbrt (log (sqrt N))) (cbrt (log (sqrt N)))))) (fma (/ 1 2) (log (+ 1 N)) (- (* (sqrt (log (sqrt N))) (sqrt (log (sqrt N)))))) (fma (- (sqrt (log (sqrt N)))) (sqrt (log (sqrt N))) (* (sqrt (log (sqrt N))) (sqrt (log (sqrt N))))) (fma (/ 1 2) (log (+ 1 N)) (- (* (log (sqrt N)) 1))) (fma (- (log (sqrt N))) 1 (* (log (sqrt N)) 1)) (fma (* (cbrt (log (sqrt (+ 1 N)))) (cbrt (log (sqrt (+ 1 N))))) (cbrt (log (sqrt (+ 1 N)))) (- (* (log N) 1/2))) (fma (- (log N)) 1/2 (* (log N) 1/2)) (fma (* (cbrt (log (sqrt (+ 1 N)))) (cbrt (log (sqrt (+ 1 N))))) (cbrt (log (sqrt (+ 1 N)))) (- (* (log (sqrt N)) 1))) (fma (- (log (sqrt N))) 1 (* (log (sqrt N)) 1)) (fma (* (cbrt (log (sqrt (+ 1 N)))) (cbrt (log (sqrt (+ 1 N))))) (cbrt (log (sqrt (+ 1 N)))) (- (* (log N) (/ 1 2)))) (fma (- (log N)) (/ 1 2) (* (log N) (/ 1 2))) (fma (* (cbrt (log (sqrt (+ 1 N)))) (cbrt (log (sqrt (+ 1 N))))) (cbrt (log (sqrt (+ 1 N)))) (- (* (cbrt (log (sqrt N))) (* (cbrt (log (sqrt N))) (cbrt (log (sqrt N))))))) (fma (- (cbrt (log (sqrt N)))) (* (cbrt (log (sqrt N))) (cbrt (log (sqrt N)))) (* (cbrt (log (sqrt N))) (* (cbrt (log (sqrt N))) (cbrt (log (sqrt N)))))) (fma (* (cbrt (log (sqrt (+ 1 N)))) (cbrt (log (sqrt (+ 1 N))))) (cbrt (log (sqrt (+ 1 N)))) (- (* (sqrt (log (sqrt N))) (sqrt (log (sqrt N)))))) (fma (- (sqrt (log (sqrt N)))) (sqrt (log (sqrt N))) (* (sqrt (log (sqrt N))) (sqrt (log (sqrt N))))) (fma (* (cbrt (log (sqrt (+ 1 N)))) (cbrt (log (sqrt (+ 1 N))))) (cbrt (log (sqrt (+ 1 N)))) (- (* (log (sqrt N)) 1))) (fma (- (log (sqrt N))) 1 (* (log (sqrt N)) 1)) (fma (sqrt (log (sqrt (+ 1 N)))) (sqrt (log (sqrt (+ 1 N)))) (- (* (log N) 1/2))) (fma (- (log N)) 1/2 (* (log N) 1/2)) (fma (sqrt (log (sqrt (+ 1 N)))) (sqrt (log (sqrt (+ 1 N)))) (- (* (log (sqrt N)) 1))) (fma (- (log (sqrt N))) 1 (* (log (sqrt N)) 1)) (fma (sqrt (log (sqrt (+ 1 N)))) (sqrt (log (sqrt (+ 1 N)))) (- (* (log N) (/ 1 2)))) (fma (- (log N)) (/ 1 2) (* (log N) (/ 1 2))) (fma (sqrt (log (sqrt (+ 1 N)))) (sqrt (log (sqrt (+ 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