21.169 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.087 * * * [progress]: [2/2] Setting up program. 0.091 * [progress]: [Phase 2 of 3] Improving. 0.091 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.091 * [simplify]: Simplifying: (- (log (+ N 1)) (log N)) 0.091 * * [simplify]: iteration 0: 6 enodes 0.094 * * [simplify]: iteration 1: 11 enodes 0.097 * * [simplify]: iteration 2: 13 enodes 0.100 * * [simplify]: iteration complete: 13 enodes 0.100 * * [simplify]: Extracting #0: cost 1 inf + 0 0.100 * * [simplify]: Extracting #1: cost 4 inf + 0 0.100 * * [simplify]: Extracting #2: cost 6 inf + 0 0.100 * * [simplify]: Extracting #3: cost 2 inf + 475 0.100 * * [simplify]: Extracting #4: cost 0 inf + 518 0.101 * [simplify]: Simplified to: (- (log1p N) (log N)) 0.110 * * [progress]: iteration 1 / 4 0.110 * * * [progress]: picking best candidate 0.114 * * * * [pick]: Picked # 0.114 * * * [progress]: localizing error 0.138 * * * [progress]: generating rewritten candidates 0.138 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.182 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.190 * * * [progress]: generating series expansions 0.190 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.190 * [backup-simplify]: Simplify (- (log (+ N 1)) (log N)) into (- (log (+ N 1)) (log N)) 0.190 * [approximate]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in (N) around 0 0.190 * [taylor]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N 0.190 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.190 * [taylor]: Taking taylor expansion of (+ N 1) 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 * [taylor]: Taking taylor expansion of 1 in N 0.190 * [backup-simplify]: Simplify 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 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 (log 1) into 0 0.192 * [taylor]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N 0.192 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.192 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.192 * [taylor]: Taking taylor expansion of N in N 0.192 * [backup-simplify]: Simplify 0 into 0 0.192 * [backup-simplify]: Simplify 1 into 1 0.192 * [taylor]: Taking taylor expansion of 1 in N 0.192 * [backup-simplify]: Simplify 1 into 1 0.193 * [backup-simplify]: Simplify (+ 0 1) into 1 0.193 * [backup-simplify]: Simplify (log 1) into 0 0.193 * [taylor]: Taking taylor expansion of (log 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 (log 1) into 0 0.194 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.194 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.194 * [backup-simplify]: Simplify (+ 0 (- (log N))) into (- (log N)) 0.194 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.195 * [backup-simplify]: Simplify (+ 1 0) into 1 0.196 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.197 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.198 * [backup-simplify]: Simplify (- 0) into 0 0.198 * [backup-simplify]: Simplify (+ 1 0) into 1 0.198 * [backup-simplify]: Simplify 1 into 1 0.198 * [backup-simplify]: Simplify (+ 0 0) into 0 0.201 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.204 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.205 * [backup-simplify]: Simplify (- 0) into 0 0.205 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.205 * [backup-simplify]: Simplify -1/2 into -1/2 0.206 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 0.206 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) 0.206 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in (N) around 0 0.206 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N 0.206 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.206 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.206 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.206 * [taylor]: Taking taylor expansion of N in N 0.206 * [backup-simplify]: Simplify 0 into 0 0.206 * [backup-simplify]: Simplify 1 into 1 0.206 * [backup-simplify]: Simplify (/ 1 1) into 1 0.206 * [taylor]: Taking taylor expansion of 1 in N 0.206 * [backup-simplify]: Simplify 1 into 1 0.207 * [backup-simplify]: Simplify (+ 1 0) into 1 0.207 * [backup-simplify]: Simplify (log 1) into 0 0.207 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.207 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.207 * [taylor]: Taking taylor expansion of N in N 0.207 * [backup-simplify]: Simplify 0 into 0 0.207 * [backup-simplify]: Simplify 1 into 1 0.208 * [backup-simplify]: Simplify (/ 1 1) into 1 0.208 * [backup-simplify]: Simplify (log 1) into 0 0.208 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N 0.208 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.208 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.208 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.208 * [taylor]: Taking taylor expansion of N in N 0.208 * [backup-simplify]: Simplify 0 into 0 0.208 * [backup-simplify]: Simplify 1 into 1 0.209 * [backup-simplify]: Simplify (/ 1 1) into 1 0.209 * [taylor]: Taking taylor expansion of 1 in N 0.209 * [backup-simplify]: Simplify 1 into 1 0.209 * [backup-simplify]: Simplify (+ 1 0) into 1 0.210 * [backup-simplify]: Simplify (log 1) into 0 0.210 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.210 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.210 * [taylor]: Taking taylor expansion of N in N 0.210 * [backup-simplify]: Simplify 0 into 0 0.210 * [backup-simplify]: Simplify 1 into 1 0.210 * [backup-simplify]: Simplify (/ 1 1) into 1 0.211 * [backup-simplify]: Simplify (log 1) into 0 0.211 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.212 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.212 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.212 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.212 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.213 * [backup-simplify]: Simplify (+ 0 1) into 1 0.214 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.217 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.217 * [backup-simplify]: Simplify (- 0) into 0 0.217 * [backup-simplify]: Simplify (+ 1 0) into 1 0.217 * [backup-simplify]: Simplify 1 into 1 0.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.219 * [backup-simplify]: Simplify (+ 0 0) into 0 0.222 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.226 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.226 * [backup-simplify]: Simplify (- 0) into 0 0.227 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.227 * [backup-simplify]: Simplify -1/2 into -1/2 0.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.228 * [backup-simplify]: Simplify (+ 0 0) into 0 0.233 * [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 0.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.236 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 0.236 * [backup-simplify]: Simplify (- 0) into 0 0.237 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 0.237 * [backup-simplify]: Simplify 1/3 into 1/3 0.237 * [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)))) 0.237 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1)) (log (/ 1 (- N)))) into (- (log (- 1 (/ 1 N))) (log (/ -1 N))) 0.237 * [approximate]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.237 * [taylor]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in N 0.237 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.237 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.237 * [taylor]: Taking taylor expansion of 1 in N 0.237 * [backup-simplify]: Simplify 1 into 1 0.237 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.237 * [taylor]: Taking taylor expansion of N in N 0.237 * [backup-simplify]: Simplify 0 into 0 0.237 * [backup-simplify]: Simplify 1 into 1 0.237 * [backup-simplify]: Simplify (/ 1 1) into 1 0.238 * [backup-simplify]: Simplify (- 1) into -1 0.238 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.238 * [backup-simplify]: Simplify (log -1) into (log -1) 0.238 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.238 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.238 * [taylor]: Taking taylor expansion of -1 in N 0.238 * [backup-simplify]: Simplify -1 into -1 0.238 * [taylor]: Taking taylor expansion of N in N 0.238 * [backup-simplify]: Simplify 0 into 0 0.238 * [backup-simplify]: Simplify 1 into 1 0.239 * [backup-simplify]: Simplify (/ -1 1) into -1 0.239 * [backup-simplify]: Simplify (log -1) into (log -1) 0.239 * [taylor]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in N 0.239 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.239 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.239 * [taylor]: Taking taylor expansion of 1 in N 0.239 * [backup-simplify]: Simplify 1 into 1 0.239 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.239 * [taylor]: Taking taylor expansion of N in N 0.239 * [backup-simplify]: Simplify 0 into 0 0.239 * [backup-simplify]: Simplify 1 into 1 0.239 * [backup-simplify]: Simplify (/ 1 1) into 1 0.239 * [backup-simplify]: Simplify (- 1) into -1 0.240 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.240 * [backup-simplify]: Simplify (log -1) into (log -1) 0.240 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.240 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.240 * [taylor]: Taking taylor expansion of -1 in N 0.240 * [backup-simplify]: Simplify -1 into -1 0.240 * [taylor]: Taking taylor expansion of N in N 0.240 * [backup-simplify]: Simplify 0 into 0 0.240 * [backup-simplify]: Simplify 1 into 1 0.240 * [backup-simplify]: Simplify (/ -1 1) into -1 0.241 * [backup-simplify]: Simplify (log -1) into (log -1) 0.241 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.242 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.242 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.242 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.242 * [backup-simplify]: Simplify 0 into 0 0.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.243 * [backup-simplify]: Simplify (- 0) into 0 0.243 * [backup-simplify]: Simplify (+ 1 0) into 1 0.244 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.245 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.245 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.246 * [backup-simplify]: Simplify (- 0) into 0 0.246 * [backup-simplify]: Simplify (+ -1 0) into -1 0.246 * [backup-simplify]: Simplify -1 into -1 0.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.247 * [backup-simplify]: Simplify (- 0) into 0 0.247 * [backup-simplify]: Simplify (+ 0 0) into 0 0.249 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 0.249 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.251 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.251 * [backup-simplify]: Simplify (- 0) into 0 0.251 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.251 * [backup-simplify]: Simplify -1/2 into -1/2 0.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.252 * [backup-simplify]: Simplify (- 0) into 0 0.252 * [backup-simplify]: Simplify (+ 0 0) into 0 0.255 * [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 0.256 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.258 * [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 0.259 * [backup-simplify]: Simplify (- 0) into 0 0.259 * [backup-simplify]: Simplify (+ -1/3 0) into -1/3 0.259 * [backup-simplify]: Simplify -1/3 into -1/3 0.259 * [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)))) 0.259 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.259 * [backup-simplify]: Simplify (log (+ N 1)) into (log (+ N 1)) 0.259 * [approximate]: Taking taylor expansion of (log (+ N 1)) in (N) around 0 0.259 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.259 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.259 * [taylor]: Taking taylor expansion of N in N 0.259 * [backup-simplify]: Simplify 0 into 0 0.259 * [backup-simplify]: Simplify 1 into 1 0.259 * [taylor]: Taking taylor expansion of 1 in N 0.260 * [backup-simplify]: Simplify 1 into 1 0.260 * [backup-simplify]: Simplify (+ 0 1) into 1 0.260 * [backup-simplify]: Simplify (log 1) into 0 0.260 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.260 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.260 * [taylor]: Taking taylor expansion of N in N 0.260 * [backup-simplify]: Simplify 0 into 0 0.260 * [backup-simplify]: Simplify 1 into 1 0.260 * [taylor]: Taking taylor expansion of 1 in N 0.260 * [backup-simplify]: Simplify 1 into 1 0.260 * [backup-simplify]: Simplify (+ 0 1) into 1 0.261 * [backup-simplify]: Simplify (log 1) into 0 0.261 * [backup-simplify]: Simplify 0 into 0 0.261 * [backup-simplify]: Simplify (+ 1 0) into 1 0.262 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.262 * [backup-simplify]: Simplify 1 into 1 0.262 * [backup-simplify]: Simplify (+ 0 0) into 0 0.263 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.264 * [backup-simplify]: Simplify -1/2 into -1/2 0.264 * [backup-simplify]: Simplify (+ 0 0) into 0 0.266 * [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 0.266 * [backup-simplify]: Simplify 1/3 into 1/3 0.267 * [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))) 0.267 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1)) into (log (+ (/ 1 N) 1)) 0.267 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 0.267 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.267 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.267 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.267 * [taylor]: Taking taylor expansion of N in N 0.267 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify 1 into 1 0.267 * [backup-simplify]: Simplify (/ 1 1) into 1 0.267 * [taylor]: Taking taylor expansion of 1 in N 0.267 * [backup-simplify]: Simplify 1 into 1 0.267 * [backup-simplify]: Simplify (+ 1 0) into 1 0.268 * [backup-simplify]: Simplify (log 1) into 0 0.268 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.268 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.268 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.268 * [taylor]: Taking taylor expansion of N in N 0.268 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify 1 into 1 0.268 * [backup-simplify]: Simplify (/ 1 1) into 1 0.268 * [taylor]: Taking taylor expansion of 1 in N 0.268 * [backup-simplify]: Simplify 1 into 1 0.268 * [backup-simplify]: Simplify (+ 1 0) into 1 0.269 * [backup-simplify]: Simplify (log 1) into 0 0.269 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.269 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.270 * [backup-simplify]: Simplify (+ 0 1) into 1 0.270 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.270 * [backup-simplify]: Simplify 1 into 1 0.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.271 * [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 0.273 * [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)))) 0.273 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1)) into (log (- 1 (/ 1 N))) 0.273 * [approximate]: Taking taylor expansion of (log (- 1 (/ 1 N))) in (N) around 0 0.273 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.273 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.273 * [taylor]: Taking taylor expansion of 1 in N 0.273 * [backup-simplify]: Simplify 1 into 1 0.273 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.273 * [taylor]: Taking taylor expansion of N in N 0.273 * [backup-simplify]: Simplify 0 into 0 0.273 * [backup-simplify]: Simplify 1 into 1 0.273 * [backup-simplify]: Simplify (/ 1 1) into 1 0.274 * [backup-simplify]: Simplify (- 1) into -1 0.274 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.274 * [backup-simplify]: Simplify (log -1) into (log -1) 0.274 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.274 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.274 * [taylor]: Taking taylor expansion of 1 in N 0.274 * [backup-simplify]: Simplify 1 into 1 0.274 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.274 * [taylor]: Taking taylor expansion of N in N 0.274 * [backup-simplify]: Simplify 0 into 0 0.274 * [backup-simplify]: Simplify 1 into 1 0.274 * [backup-simplify]: Simplify (/ 1 1) into 1 0.275 * [backup-simplify]: Simplify (- 1) into -1 0.275 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.275 * [backup-simplify]: Simplify (log -1) into (log -1) 0.276 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.276 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.281 * [backup-simplify]: Simplify (- 0) into 0 0.282 * [backup-simplify]: Simplify (+ 1 0) into 1 0.283 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.283 * [backup-simplify]: Simplify -1 into -1 0.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.285 * [backup-simplify]: Simplify (- 0) into 0 0.285 * [backup-simplify]: Simplify (+ 0 0) into 0 0.288 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 0.288 * [backup-simplify]: Simplify -1/2 into -1/2 0.289 * [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)))) 0.289 * * * [progress]: simplifying candidates 0.289 * * * * [progress]: [ 1 / 73 ] simplifiying candidate # 0.289 * * * * [progress]: [ 2 / 73 ] simplifiying candidate # 0.289 * * * * [progress]: [ 3 / 73 ] simplifiying candidate # 0.289 * * * * [progress]: [ 4 / 73 ] simplifiying candidate # 0.289 * * * * [progress]: [ 5 / 73 ] simplifiying candidate # 0.289 * * * * [progress]: [ 6 / 73 ] simplifiying candidate # 0.289 * * * * [progress]: [ 7 / 73 ] simplifiying candidate # 0.289 * * * * [progress]: [ 8 / 73 ] simplifiying candidate # 0.289 * * * * [progress]: [ 9 / 73 ] simplifiying candidate # 0.289 * * * * [progress]: [ 10 / 73 ] simplifiying candidate # 0.289 * * * * [progress]: [ 11 / 73 ] simplifiying candidate # 0.290 * * * * [progress]: [ 12 / 73 ] simplifiying candidate # 0.290 * * * * [progress]: [ 13 / 73 ] simplifiying candidate # 0.290 * * * * [progress]: [ 14 / 73 ] simplifiying candidate # 0.290 * * * * [progress]: [ 15 / 73 ] simplifiying candidate # 0.290 * * * * [progress]: [ 16 / 73 ] simplifiying candidate # 0.290 * * * * [progress]: [ 17 / 73 ] simplifiying candidate # 0.290 * * * * [progress]: [ 18 / 73 ] simplifiying candidate # 0.290 * * * * [progress]: [ 19 / 73 ] simplifiying candidate # 0.290 * * * * [progress]: [ 20 / 73 ] simplifiying candidate # 0.290 * * * * [progress]: [ 21 / 73 ] simplifiying candidate # 0.290 * * * * [progress]: [ 22 / 73 ] simplifiying candidate # 0.290 * * * * [progress]: [ 23 / 73 ] simplifiying candidate # 0.290 * * * * [progress]: [ 24 / 73 ] simplifiying candidate # 0.290 * * * * [progress]: [ 25 / 73 ] simplifiying candidate # 0.290 * * * * [progress]: [ 26 / 73 ] simplifiying candidate # 0.290 * * * * [progress]: [ 27 / 73 ] simplifiying candidate # 0.291 * * * * [progress]: [ 28 / 73 ] simplifiying candidate # 0.291 * * * * [progress]: [ 29 / 73 ] simplifiying candidate # 0.291 * * * * [progress]: [ 30 / 73 ] simplifiying candidate # 0.291 * * * * [progress]: [ 31 / 73 ] simplifiying candidate # 0.291 * * * * [progress]: [ 32 / 73 ] simplifiying candidate # 0.291 * * * * [progress]: [ 33 / 73 ] simplifiying candidate # 0.291 * * * * [progress]: [ 34 / 73 ] simplifiying candidate # 0.291 * * * * [progress]: [ 35 / 73 ] simplifiying candidate # 0.291 * * * * [progress]: [ 36 / 73 ] simplifiying candidate # 0.291 * * * * [progress]: [ 37 / 73 ] simplifiying candidate # 0.291 * * * * [progress]: [ 38 / 73 ] simplifiying candidate # 0.291 * * * * [progress]: [ 39 / 73 ] simplifiying candidate # 0.291 * * * * [progress]: [ 40 / 73 ] simplifiying candidate # 0.291 * * * * [progress]: [ 41 / 73 ] simplifiying candidate # 0.291 * * * * [progress]: [ 42 / 73 ] simplifiying candidate # 0.291 * * * * [progress]: [ 43 / 73 ] simplifiying candidate # 0.291 * * * * [progress]: [ 44 / 73 ] simplifiying candidate # 0.292 * * * * [progress]: [ 45 / 73 ] simplifiying candidate # 0.292 * * * * [progress]: [ 46 / 73 ] simplifiying candidate # 0.292 * * * * [progress]: [ 47 / 73 ] simplifiying candidate # 0.292 * * * * [progress]: [ 48 / 73 ] simplifiying candidate # 0.292 * * * * [progress]: [ 49 / 73 ] simplifiying candidate #real (real->posit16 (- (log (+ N 1)) (log N)))))> 0.292 * * * * [progress]: [ 50 / 73 ] simplifiying candidate # 0.292 * * * * [progress]: [ 51 / 73 ] simplifiying candidate # 0.292 * * * * [progress]: [ 52 / 73 ] simplifiying candidate # 0.292 * * * * [progress]: [ 53 / 73 ] simplifiying candidate # 0.292 * * * * [progress]: [ 54 / 73 ] simplifiying candidate # 0.292 * * * * [progress]: [ 55 / 73 ] simplifiying candidate # 0.292 * * * * [progress]: [ 56 / 73 ] simplifiying candidate # 0.292 * * * * [progress]: [ 57 / 73 ] simplifiying candidate # 0.292 * * * * [progress]: [ 58 / 73 ] simplifiying candidate # 0.292 * * * * [progress]: [ 59 / 73 ] simplifiying candidate # 0.292 * * * * [progress]: [ 60 / 73 ] simplifiying candidate # 0.292 * * * * [progress]: [ 61 / 73 ] simplifiying candidate # 0.292 * * * * [progress]: [ 62 / 73 ] simplifiying candidate # 0.293 * * * * [progress]: [ 63 / 73 ] simplifiying candidate # 0.293 * * * * [progress]: [ 64 / 73 ] simplifiying candidate # 0.293 * * * * [progress]: [ 65 / 73 ] simplifiying candidate # 0.293 * * * * [progress]: [ 66 / 73 ] simplifiying candidate # 0.293 * * * * [progress]: [ 67 / 73 ] simplifiying candidate #real (real->posit16 (log (+ N 1)))) (log N)))> 0.293 * * * * [progress]: [ 68 / 73 ] simplifiying candidate # 0.293 * * * * [progress]: [ 69 / 73 ] simplifiying candidate # 0.293 * * * * [progress]: [ 70 / 73 ] simplifiying candidate # 0.293 * * * * [progress]: [ 71 / 73 ] simplifiying candidate # 0.293 * * * * [progress]: [ 72 / 73 ] simplifiying candidate # 0.293 * * * * [progress]: [ 73 / 73 ] simplifiying candidate # 0.294 * [simplify]: Simplifying: (fma 1 (log (+ N 1)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma 1 (log (+ N 1)) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma 1 (log (+ N 1)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) (cbrt (log (+ N 1))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) (cbrt (log (+ N 1))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) (cbrt (log (+ N 1))) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) (cbrt (log (+ N 1))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (log (+ N 1))) (sqrt (log (+ N 1))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (log (+ N 1))) (sqrt (log (+ N 1))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma (sqrt (log (+ N 1))) (sqrt (log (+ N 1))) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (sqrt (log (+ N 1))) (sqrt (log (+ N 1))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma 1 (log (+ N 1)) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma 1 (log (+ N 1)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (expm1 (- (log (+ N 1)) (log N))) (log1p (- (log (+ N 1)) (log N))) (- (log N)) (- (log N)) (- (log N)) (- (log N)) (/ (+ N 1) N) (log (- (log (+ N 1)) (log N))) (exp (- (log (+ N 1)) (log N))) (* (cbrt (- (log (+ N 1)) (log N))) (cbrt (- (log (+ N 1)) (log N)))) (cbrt (- (log (+ N 1)) (log N))) (* (* (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N))) (- (log (+ N 1)) (log N))) (sqrt (- (log (+ N 1)) (log N))) (sqrt (- (log (+ N 1)) (log N))) (- (pow (log (+ N 1)) 3) (pow (log N) 3)) (+ (* (log (+ N 1)) (log (+ N 1))) (+ (* (log N) (log N)) (* (log (+ N 1)) (log N)))) (- (log N)) (- (* (log (+ N 1)) (log (+ N 1))) (* (log N) (log N))) (+ (log (+ N 1)) (log N)) (+ (sqrt (log (+ N 1))) (sqrt (log N))) (- (sqrt (log (+ N 1))) (sqrt (log N))) (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log (* (cbrt N) (cbrt N)))) (- (log (+ N 1)) (log (sqrt N))) (- (log (+ N 1)) (log 1)) (- (log (cbrt (+ N 1))) (log N)) (- (log (sqrt (+ N 1))) (log N)) (- (log (+ N 1)) (log N)) (- (log (+ N 1)) (log N)) (+ (log (+ (* N N) (- (* 1 1) (* N 1)))) (log N)) (+ (log (- N 1)) (log N)) (- (log N)) (real->posit16 (- (log (+ N 1)) (log N))) (expm1 (log (+ N 1))) (log1p (log (+ N 1))) (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (log (cbrt (+ N 1))) (log (sqrt (+ N 1))) (log (sqrt (+ N 1))) (log 1) (log (+ N 1)) (log 1) (log (+ N 1)) (log (+ (pow N 3) (pow 1 3))) (log (+ (* N N) (- (* 1 1) (* N 1)))) (log (- (* N N) (* 1 1))) (log (- N 1)) (log (+ N 1)) (log (log (+ N 1))) (exp (log (+ N 1))) (* (cbrt (log (+ N 1))) (cbrt (log (+ N 1)))) (cbrt (log (+ N 1))) (* (* (log (+ N 1)) (log (+ N 1))) (log (+ N 1))) (sqrt (log (+ N 1))) (sqrt (log (+ N 1))) (real->posit16 (log (+ N 1))) (- 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)))) 0.297 * * [simplify]: iteration 0: 123 enodes 0.356 * * [simplify]: iteration 1: 268 enodes 0.461 * * [simplify]: iteration 2: 622 enodes 0.905 * * [simplify]: iteration 3: 1955 enodes 1.253 * * [simplify]: iteration 4: 2009 enodes 1.589 * * [simplify]: iteration complete: 2009 enodes 1.589 * * [simplify]: Extracting #0: cost 48 inf + 0 1.590 * * [simplify]: Extracting #1: cost 236 inf + 2 1.592 * * [simplify]: Extracting #2: cost 462 inf + 6335 1.600 * * [simplify]: Extracting #3: cost 253 inf + 44242 1.622 * * [simplify]: Extracting #4: cost 26 inf + 104895 1.655 * * [simplify]: Extracting #5: cost 0 inf + 112580 1.680 * [simplify]: Simplified to: (- (log1p N) (log N)) (fma (log N) -1 (log N)) (- (log1p N) (log N)) (fma (log N) -1 (log N)) (- (log1p N) (log N)) (fma (log N) -1 (log N)) (- (log1p N) (log N)) (fma (log N) -1 (log N)) (- (* (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N))) (log N)) (fma (log N) -1 (log N)) (- (* (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N))) (log N)) (fma (log N) -1 (log N)) (- (* (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N))) (log N)) (fma (log N) -1 (log N)) (- (* (* (cbrt (log1p N)) (cbrt (log1p N))) (cbrt (log1p N))) (log N)) (fma (log N) -1 (log N)) (- (log1p N) (log N)) (fma (log N) -1 (log N)) (- (log1p N) (log N)) (fma (log N) -1 (log N)) (- (log1p N) (log N)) (fma (log N) -1 (log N)) (- (log1p N) (log N)) (fma (log N) -1 (log N)) (- (log1p N) (log N)) (fma (log N) -1 (log N)) (- (log1p N) (log N)) (fma (log N) -1 (log N)) (- (log1p N) (log N)) (fma (log N) -1 (log N)) (- (log1p N) (log N)) (fma (log N) -1 (log N)) (expm1 (- (log1p N) (log N))) (log1p (- (log1p N) (log N))) (- (log N)) (- (log N)) (- (log N)) (- (log N)) (/ (+ N 1) N) (log (- (log1p N) (log N))) (/ (+ N 1) 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)) (- (log1p N) (log N)) (- (log1p N) (log N)) (- (- (log1p N) (log (cbrt N))) (log (cbrt N))) (- (log1p N) (log (sqrt N))) (log1p N) (- (log (cbrt (+ N 1))) (log N)) (- (log (sqrt (+ N 1))) (log N)) (- (log1p N) (log N)) (- (log1p N) (log N)) (+ (log (fma N N (- 1 N))) (log N)) (+ (log N) (log (+ -1 N))) (- (log N)) (real->posit16 (- (log1p N) (log N))) N (log1p (log1p N)) (log (* (cbrt (+ N 1)) (cbrt (+ N 1)))) (log (cbrt (+ N 1))) (log (sqrt (+ N 1))) (log (sqrt (+ N 1))) 0 (log1p N) 0 (log1p N) (log (fma N (* N N) 1)) (log (fma N N (- 1 N))) (log (fma N N -1)) (log (+ -1 N)) (log1p N) (log (log1p N)) (+ N 1) (* (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 1/2 (* N N) (log N))) (fma (/ 1/3 (* N N)) (/ 1 N) (- (/ 1 N) (/ 1/2 (* N N)))) (fma (/ 1/3 (* N N)) (/ 1 N) (- (/ 1 N) (/ 1/2 (* N N)))) (+ N (* (* N N) (fma 1/3 N -1/2))) (+ (- (log N) (/ 1/2 (* N N))) (/ 1 N)) (+ (+ (log -1) (/ 1 N)) (- (/ -1/2 (* N N)) (log (/ -1 N)))) 1.683 * * * [progress]: adding candidates to table 2.252 * * [progress]: iteration 2 / 4 2.252 * * * [progress]: picking best candidate 2.264 * * * * [pick]: Picked # 2.264 * * * [progress]: localizing error 2.294 * * * [progress]: generating rewritten candidates 2.294 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 2.295 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 2.301 * * * * [progress]: [ 3 / 4 ] rewriting at (2 3 2) 2.311 * * * * [progress]: [ 4 / 4 ] rewriting at (2 3) 2.343 * * * [progress]: generating series expansions 2.343 * * * * [progress]: [ 1 / 4 ] generating series at (2) 2.343 * [backup-simplify]: Simplify (fma (/ 1/3 (* N N)) (/ 1 N) (- (/ 1 N) (/ 1/2 (* N N)))) into (fma (/ 1/3 (pow N 2)) (/ 1 N) (- (/ 1 N) (* 1/2 (/ 1 (pow N 2))))) 2.343 * [approximate]: Taking taylor expansion of (fma (/ 1/3 (pow N 2)) (/ 1 N) (- (/ 1 N) (* 1/2 (/ 1 (pow N 2))))) in (N) around 0 2.343 * [taylor]: Taking taylor expansion of (fma (/ 1/3 (pow N 2)) (/ 1 N) (- (/ 1 N) (* 1/2 (/ 1 (pow N 2))))) in N 2.345 * [taylor]: Rewrote expression to (+ (* (/ 1/3 (pow N 2)) (/ 1 N)) (- (/ 1 N) (* 1/2 (/ 1 (pow N 2))))) 2.345 * [taylor]: Taking taylor expansion of (* (/ 1/3 (pow N 2)) (/ 1 N)) in N 2.345 * [taylor]: Taking taylor expansion of (/ 1/3 (pow N 2)) in N 2.345 * [taylor]: Taking taylor expansion of 1/3 in N 2.345 * [backup-simplify]: Simplify 1/3 into 1/3 2.345 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.345 * [taylor]: Taking taylor expansion of N in N 2.345 * [backup-simplify]: Simplify 0 into 0 2.345 * [backup-simplify]: Simplify 1 into 1 2.346 * [backup-simplify]: Simplify (* 1 1) into 1 2.346 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3 2.346 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.346 * [taylor]: Taking taylor expansion of N in N 2.346 * [backup-simplify]: Simplify 0 into 0 2.346 * [backup-simplify]: Simplify 1 into 1 2.347 * [backup-simplify]: Simplify (/ 1 1) into 1 2.347 * [taylor]: Taking taylor expansion of (- (/ 1 N) (* 1/2 (/ 1 (pow N 2)))) in N 2.347 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.347 * [taylor]: Taking taylor expansion of N in N 2.347 * [backup-simplify]: Simplify 0 into 0 2.347 * [backup-simplify]: Simplify 1 into 1 2.347 * [backup-simplify]: Simplify (/ 1 1) into 1 2.347 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow N 2))) in N 2.347 * [taylor]: Taking taylor expansion of 1/2 in N 2.347 * [backup-simplify]: Simplify 1/2 into 1/2 2.347 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.347 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.347 * [taylor]: Taking taylor expansion of N in N 2.347 * [backup-simplify]: Simplify 0 into 0 2.347 * [backup-simplify]: Simplify 1 into 1 2.348 * [backup-simplify]: Simplify (* 1 1) into 1 2.348 * [backup-simplify]: Simplify (/ 1 1) into 1 2.348 * [taylor]: Taking taylor expansion of (fma (/ 1/3 (pow N 2)) (/ 1 N) (- (/ 1 N) (* 1/2 (/ 1 (pow N 2))))) in N 2.348 * [taylor]: Rewrote expression to (+ (* (/ 1/3 (pow N 2)) (/ 1 N)) (- (/ 1 N) (* 1/2 (/ 1 (pow N 2))))) 2.348 * [taylor]: Taking taylor expansion of (* (/ 1/3 (pow N 2)) (/ 1 N)) in N 2.348 * [taylor]: Taking taylor expansion of (/ 1/3 (pow N 2)) in N 2.348 * [taylor]: Taking taylor expansion of 1/3 in N 2.348 * [backup-simplify]: Simplify 1/3 into 1/3 2.348 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.348 * [taylor]: Taking taylor expansion of N in N 2.348 * [backup-simplify]: Simplify 0 into 0 2.348 * [backup-simplify]: Simplify 1 into 1 2.349 * [backup-simplify]: Simplify (* 1 1) into 1 2.349 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3 2.349 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.349 * [taylor]: Taking taylor expansion of N in N 2.349 * [backup-simplify]: Simplify 0 into 0 2.349 * [backup-simplify]: Simplify 1 into 1 2.349 * [backup-simplify]: Simplify (/ 1 1) into 1 2.349 * [taylor]: Taking taylor expansion of (- (/ 1 N) (* 1/2 (/ 1 (pow N 2)))) in N 2.349 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.350 * [taylor]: Taking taylor expansion of N in N 2.350 * [backup-simplify]: Simplify 0 into 0 2.350 * [backup-simplify]: Simplify 1 into 1 2.350 * [backup-simplify]: Simplify (/ 1 1) into 1 2.350 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow N 2))) in N 2.350 * [taylor]: Taking taylor expansion of 1/2 in N 2.350 * [backup-simplify]: Simplify 1/2 into 1/2 2.350 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.350 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.350 * [taylor]: Taking taylor expansion of N in N 2.350 * [backup-simplify]: Simplify 0 into 0 2.350 * [backup-simplify]: Simplify 1 into 1 2.350 * [backup-simplify]: Simplify (* 1 1) into 1 2.350 * [backup-simplify]: Simplify (/ 1 1) into 1 2.351 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 2.351 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 2.351 * [backup-simplify]: Simplify 1/3 into 1/3 2.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.352 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.352 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 2.353 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 2.353 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 2.353 * [backup-simplify]: Simplify (- 1/2) into -1/2 2.354 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 2.354 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 2.354 * [backup-simplify]: Simplify -1/2 into -1/2 2.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.356 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.356 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 2.357 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.357 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.358 * [backup-simplify]: Simplify (- 0) into 0 2.358 * [backup-simplify]: Simplify (+ 1 0) into 1 2.358 * [backup-simplify]: Simplify (+ 0 1) into 1 2.358 * [backup-simplify]: Simplify 1 into 1 2.358 * [backup-simplify]: Simplify (+ (* 1 (/ 1 N)) (+ (* -1/2 (pow (/ 1 N) 2)) (* 1/3 (pow (/ 1 N) 3)))) into (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (pow N 2)))) 2.359 * [backup-simplify]: Simplify (fma (/ 1/3 (* (/ 1 N) (/ 1 N))) (/ 1 (/ 1 N)) (- (/ 1 (/ 1 N)) (/ 1/2 (* (/ 1 N) (/ 1 N))))) into (fma (* 1/3 (pow N 2)) N (- N (* 1/2 (pow N 2)))) 2.359 * [approximate]: Taking taylor expansion of (fma (* 1/3 (pow N 2)) N (- N (* 1/2 (pow N 2)))) in (N) around 0 2.359 * [taylor]: Taking taylor expansion of (fma (* 1/3 (pow N 2)) N (- N (* 1/2 (pow N 2)))) in N 2.359 * [taylor]: Rewrote expression to (+ (* (* 1/3 (pow N 2)) N) (- N (* 1/2 (pow N 2)))) 2.359 * [taylor]: Taking taylor expansion of (* (* 1/3 (pow N 2)) N) in N 2.359 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 2)) in N 2.359 * [taylor]: Taking taylor expansion of 1/3 in N 2.359 * [backup-simplify]: Simplify 1/3 into 1/3 2.359 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.359 * [taylor]: Taking taylor expansion of N in N 2.359 * [backup-simplify]: Simplify 0 into 0 2.359 * [backup-simplify]: Simplify 1 into 1 2.359 * [taylor]: Taking taylor expansion of N in N 2.359 * [backup-simplify]: Simplify 0 into 0 2.359 * [backup-simplify]: Simplify 1 into 1 2.359 * [taylor]: Taking taylor expansion of (- N (* 1/2 (pow N 2))) in N 2.359 * [taylor]: Taking taylor expansion of N in N 2.359 * [backup-simplify]: Simplify 0 into 0 2.359 * [backup-simplify]: Simplify 1 into 1 2.359 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 2.359 * [taylor]: Taking taylor expansion of 1/2 in N 2.359 * [backup-simplify]: Simplify 1/2 into 1/2 2.359 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.359 * [taylor]: Taking taylor expansion of N in N 2.359 * [backup-simplify]: Simplify 0 into 0 2.359 * [backup-simplify]: Simplify 1 into 1 2.359 * [taylor]: Taking taylor expansion of (fma (* 1/3 (pow N 2)) N (- N (* 1/2 (pow N 2)))) in N 2.359 * [taylor]: Rewrote expression to (+ (* (* 1/3 (pow N 2)) N) (- N (* 1/2 (pow N 2)))) 2.359 * [taylor]: Taking taylor expansion of (* (* 1/3 (pow N 2)) N) in N 2.359 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 2)) in N 2.359 * [taylor]: Taking taylor expansion of 1/3 in N 2.359 * [backup-simplify]: Simplify 1/3 into 1/3 2.359 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.359 * [taylor]: Taking taylor expansion of N in N 2.359 * [backup-simplify]: Simplify 0 into 0 2.359 * [backup-simplify]: Simplify 1 into 1 2.359 * [taylor]: Taking taylor expansion of N in N 2.359 * [backup-simplify]: Simplify 0 into 0 2.359 * [backup-simplify]: Simplify 1 into 1 2.359 * [taylor]: Taking taylor expansion of (- N (* 1/2 (pow N 2))) in N 2.359 * [taylor]: Taking taylor expansion of N in N 2.359 * [backup-simplify]: Simplify 0 into 0 2.359 * [backup-simplify]: Simplify 1 into 1 2.359 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 2.359 * [taylor]: Taking taylor expansion of 1/2 in N 2.359 * [backup-simplify]: Simplify 1/2 into 1/2 2.359 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.359 * [taylor]: Taking taylor expansion of N in N 2.359 * [backup-simplify]: Simplify 0 into 0 2.359 * [backup-simplify]: Simplify 1 into 1 2.360 * [backup-simplify]: Simplify (+ 0 0) into 0 2.360 * [backup-simplify]: Simplify (+ 0 0) into 0 2.360 * [backup-simplify]: Simplify 0 into 0 2.360 * [backup-simplify]: Simplify (+ 1 0) into 1 2.361 * [backup-simplify]: Simplify (+ 0 1) into 1 2.361 * [backup-simplify]: Simplify 1 into 1 2.361 * [backup-simplify]: Simplify (* 1 1) into 1 2.361 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 2.361 * [backup-simplify]: Simplify (* 1/3 0) into 0 2.362 * [backup-simplify]: Simplify (* 1 1) into 1 2.362 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 2.362 * [backup-simplify]: Simplify (- 1/2) into -1/2 2.362 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 2.363 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 2.363 * [backup-simplify]: Simplify -1/2 into -1/2 2.363 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.364 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 2.364 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 2.364 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.365 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.365 * [backup-simplify]: Simplify (- 0) into 0 2.365 * [backup-simplify]: Simplify (+ 0 0) into 0 2.366 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 2.366 * [backup-simplify]: Simplify 1/3 into 1/3 2.366 * [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)))) 2.366 * [backup-simplify]: Simplify (fma (/ 1/3 (* (/ 1 (- N)) (/ 1 (- N)))) (/ 1 (/ 1 (- N))) (- (/ 1 (/ 1 (- N))) (/ 1/2 (* (/ 1 (- N)) (/ 1 (- N)))))) into (fma (* 1/3 (pow N 2)) (* -1 N) (- (+ N (* 1/2 (pow N 2))))) 2.366 * [approximate]: Taking taylor expansion of (fma (* 1/3 (pow N 2)) (* -1 N) (- (+ N (* 1/2 (pow N 2))))) in (N) around 0 2.366 * [taylor]: Taking taylor expansion of (fma (* 1/3 (pow N 2)) (* -1 N) (- (+ N (* 1/2 (pow N 2))))) in N 2.366 * [taylor]: Rewrote expression to (+ (* (* 1/3 (pow N 2)) (* -1 N)) (- (+ N (* 1/2 (pow N 2))))) 2.366 * [taylor]: Taking taylor expansion of (* (* 1/3 (pow N 2)) (* -1 N)) in N 2.366 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 2)) in N 2.366 * [taylor]: Taking taylor expansion of 1/3 in N 2.366 * [backup-simplify]: Simplify 1/3 into 1/3 2.366 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.366 * [taylor]: Taking taylor expansion of N in N 2.366 * [backup-simplify]: Simplify 0 into 0 2.366 * [backup-simplify]: Simplify 1 into 1 2.367 * [taylor]: Taking taylor expansion of (* -1 N) in N 2.367 * [taylor]: Taking taylor expansion of -1 in N 2.367 * [backup-simplify]: Simplify -1 into -1 2.367 * [taylor]: Taking taylor expansion of N in N 2.367 * [backup-simplify]: Simplify 0 into 0 2.367 * [backup-simplify]: Simplify 1 into 1 2.367 * [taylor]: Taking taylor expansion of (- (+ N (* 1/2 (pow N 2)))) in N 2.367 * [taylor]: Taking taylor expansion of (+ N (* 1/2 (pow N 2))) in N 2.367 * [taylor]: Taking taylor expansion of N in N 2.367 * [backup-simplify]: Simplify 0 into 0 2.367 * [backup-simplify]: Simplify 1 into 1 2.367 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 2.367 * [taylor]: Taking taylor expansion of 1/2 in N 2.367 * [backup-simplify]: Simplify 1/2 into 1/2 2.367 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.367 * [taylor]: Taking taylor expansion of N in N 2.367 * [backup-simplify]: Simplify 0 into 0 2.367 * [backup-simplify]: Simplify 1 into 1 2.367 * [taylor]: Taking taylor expansion of (fma (* 1/3 (pow N 2)) (* -1 N) (- (+ N (* 1/2 (pow N 2))))) in N 2.367 * [taylor]: Rewrote expression to (+ (* (* 1/3 (pow N 2)) (* -1 N)) (- (+ N (* 1/2 (pow N 2))))) 2.367 * [taylor]: Taking taylor expansion of (* (* 1/3 (pow N 2)) (* -1 N)) in N 2.367 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 2)) in N 2.367 * [taylor]: Taking taylor expansion of 1/3 in N 2.367 * [backup-simplify]: Simplify 1/3 into 1/3 2.367 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.367 * [taylor]: Taking taylor expansion of N in N 2.367 * [backup-simplify]: Simplify 0 into 0 2.367 * [backup-simplify]: Simplify 1 into 1 2.367 * [taylor]: Taking taylor expansion of (* -1 N) in N 2.367 * [taylor]: Taking taylor expansion of -1 in N 2.367 * [backup-simplify]: Simplify -1 into -1 2.367 * [taylor]: Taking taylor expansion of N in N 2.367 * [backup-simplify]: Simplify 0 into 0 2.367 * [backup-simplify]: Simplify 1 into 1 2.367 * [taylor]: Taking taylor expansion of (- (+ N (* 1/2 (pow N 2)))) in N 2.367 * [taylor]: Taking taylor expansion of (+ N (* 1/2 (pow N 2))) in N 2.367 * [taylor]: Taking taylor expansion of N in N 2.367 * [backup-simplify]: Simplify 0 into 0 2.367 * [backup-simplify]: Simplify 1 into 1 2.367 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 2.367 * [taylor]: Taking taylor expansion of 1/2 in N 2.367 * [backup-simplify]: Simplify 1/2 into 1/2 2.367 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.367 * [taylor]: Taking taylor expansion of N in N 2.367 * [backup-simplify]: Simplify 0 into 0 2.367 * [backup-simplify]: Simplify 1 into 1 2.368 * [backup-simplify]: Simplify (+ 0 0) into 0 2.368 * [backup-simplify]: Simplify (- 0) into 0 2.368 * [backup-simplify]: Simplify (+ 0 0) into 0 2.368 * [backup-simplify]: Simplify 0 into 0 2.369 * [backup-simplify]: Simplify (+ 1 0) into 1 2.369 * [backup-simplify]: Simplify (- 1) into -1 2.369 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.369 * [backup-simplify]: Simplify -1 into -1 2.369 * [backup-simplify]: Simplify (* 1 1) into 1 2.370 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 2.370 * [backup-simplify]: Simplify (* -1 0) into 0 2.370 * [backup-simplify]: Simplify (* 1/3 0) into 0 2.371 * [backup-simplify]: Simplify (* 1 1) into 1 2.371 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 2.371 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 2.371 * [backup-simplify]: Simplify (- 1/2) into -1/2 2.372 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 2.372 * [backup-simplify]: Simplify -1/2 into -1/2 2.372 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 2.372 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.373 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 2.373 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 0)) into -1/3 2.374 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.374 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.374 * [backup-simplify]: Simplify (+ 0 0) into 0 2.375 * [backup-simplify]: Simplify (- 0) into 0 2.375 * [backup-simplify]: Simplify (+ -1/3 0) into -1/3 2.375 * [backup-simplify]: Simplify -1/3 into -1/3 2.375 * [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)))) 2.375 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 2.375 * [backup-simplify]: Simplify (/ 1/3 (* N N)) into (/ 1/3 (pow N 2)) 2.375 * [approximate]: Taking taylor expansion of (/ 1/3 (pow N 2)) in (N) around 0 2.375 * [taylor]: Taking taylor expansion of (/ 1/3 (pow N 2)) in N 2.375 * [taylor]: Taking taylor expansion of 1/3 in N 2.375 * [backup-simplify]: Simplify 1/3 into 1/3 2.375 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.375 * [taylor]: Taking taylor expansion of N in N 2.375 * [backup-simplify]: Simplify 0 into 0 2.375 * [backup-simplify]: Simplify 1 into 1 2.376 * [backup-simplify]: Simplify (* 1 1) into 1 2.376 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3 2.376 * [taylor]: Taking taylor expansion of (/ 1/3 (pow N 2)) in N 2.376 * [taylor]: Taking taylor expansion of 1/3 in N 2.376 * [backup-simplify]: Simplify 1/3 into 1/3 2.376 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.376 * [taylor]: Taking taylor expansion of N in N 2.376 * [backup-simplify]: Simplify 0 into 0 2.376 * [backup-simplify]: Simplify 1 into 1 2.376 * [backup-simplify]: Simplify (* 1 1) into 1 2.377 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3 2.377 * [backup-simplify]: Simplify 1/3 into 1/3 2.377 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.378 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 2.378 * [backup-simplify]: Simplify 0 into 0 2.378 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.379 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.379 * [backup-simplify]: Simplify 0 into 0 2.379 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.380 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.380 * [backup-simplify]: Simplify 0 into 0 2.381 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.382 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.382 * [backup-simplify]: Simplify 0 into 0 2.383 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.385 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.385 * [backup-simplify]: Simplify 0 into 0 2.386 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.387 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.387 * [backup-simplify]: Simplify 0 into 0 2.387 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 N) 2)) into (/ 1/3 (pow N 2)) 2.388 * [backup-simplify]: Simplify (/ 1/3 (* (/ 1 N) (/ 1 N))) into (* 1/3 (pow N 2)) 2.388 * [approximate]: Taking taylor expansion of (* 1/3 (pow N 2)) in (N) around 0 2.388 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 2)) in N 2.388 * [taylor]: Taking taylor expansion of 1/3 in N 2.388 * [backup-simplify]: Simplify 1/3 into 1/3 2.388 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.388 * [taylor]: Taking taylor expansion of N in N 2.388 * [backup-simplify]: Simplify 0 into 0 2.388 * [backup-simplify]: Simplify 1 into 1 2.388 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 2)) in N 2.388 * [taylor]: Taking taylor expansion of 1/3 in N 2.388 * [backup-simplify]: Simplify 1/3 into 1/3 2.388 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.388 * [taylor]: Taking taylor expansion of N in N 2.388 * [backup-simplify]: Simplify 0 into 0 2.388 * [backup-simplify]: Simplify 1 into 1 2.388 * [backup-simplify]: Simplify (* 1 1) into 1 2.389 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 2.389 * [backup-simplify]: Simplify 1/3 into 1/3 2.390 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.390 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 2.390 * [backup-simplify]: Simplify 0 into 0 2.391 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.393 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 2.393 * [backup-simplify]: Simplify 0 into 0 2.394 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.395 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.395 * [backup-simplify]: Simplify 0 into 0 2.396 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.397 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.398 * [backup-simplify]: Simplify 0 into 0 2.399 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.400 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.401 * [backup-simplify]: Simplify 0 into 0 2.402 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.404 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.404 * [backup-simplify]: Simplify 0 into 0 2.404 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 N) 2)) into (/ 1/3 (pow N 2)) 2.404 * [backup-simplify]: Simplify (/ 1/3 (* (/ 1 (- N)) (/ 1 (- N)))) into (* 1/3 (pow N 2)) 2.404 * [approximate]: Taking taylor expansion of (* 1/3 (pow N 2)) in (N) around 0 2.404 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 2)) in N 2.404 * [taylor]: Taking taylor expansion of 1/3 in N 2.404 * [backup-simplify]: Simplify 1/3 into 1/3 2.404 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.404 * [taylor]: Taking taylor expansion of N in N 2.404 * [backup-simplify]: Simplify 0 into 0 2.404 * [backup-simplify]: Simplify 1 into 1 2.404 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 2)) in N 2.404 * [taylor]: Taking taylor expansion of 1/3 in N 2.405 * [backup-simplify]: Simplify 1/3 into 1/3 2.405 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.405 * [taylor]: Taking taylor expansion of N in N 2.405 * [backup-simplify]: Simplify 0 into 0 2.405 * [backup-simplify]: Simplify 1 into 1 2.405 * [backup-simplify]: Simplify (* 1 1) into 1 2.405 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 2.406 * [backup-simplify]: Simplify 1/3 into 1/3 2.406 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.407 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 2.407 * [backup-simplify]: Simplify 0 into 0 2.408 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.409 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 2.409 * [backup-simplify]: Simplify 0 into 0 2.410 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.415 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.415 * [backup-simplify]: Simplify 0 into 0 2.416 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.417 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.417 * [backup-simplify]: Simplify 0 into 0 2.418 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.419 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.419 * [backup-simplify]: Simplify 0 into 0 2.419 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.420 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.420 * [backup-simplify]: Simplify 0 into 0 2.421 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (- N)) 2)) into (/ 1/3 (pow N 2)) 2.421 * * * * [progress]: [ 3 / 4 ] generating series at (2 3 2) 2.421 * [backup-simplify]: Simplify (/ 1/2 (* N N)) into (/ 1/2 (pow N 2)) 2.421 * [approximate]: Taking taylor expansion of (/ 1/2 (pow N 2)) in (N) around 0 2.421 * [taylor]: Taking taylor expansion of (/ 1/2 (pow N 2)) in N 2.421 * [taylor]: Taking taylor expansion of 1/2 in N 2.421 * [backup-simplify]: Simplify 1/2 into 1/2 2.421 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.421 * [taylor]: Taking taylor expansion of N in N 2.421 * [backup-simplify]: Simplify 0 into 0 2.421 * [backup-simplify]: Simplify 1 into 1 2.421 * [backup-simplify]: Simplify (* 1 1) into 1 2.421 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.421 * [taylor]: Taking taylor expansion of (/ 1/2 (pow N 2)) in N 2.421 * [taylor]: Taking taylor expansion of 1/2 in N 2.421 * [backup-simplify]: Simplify 1/2 into 1/2 2.421 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.421 * [taylor]: Taking taylor expansion of N in N 2.422 * [backup-simplify]: Simplify 0 into 0 2.422 * [backup-simplify]: Simplify 1 into 1 2.422 * [backup-simplify]: Simplify (* 1 1) into 1 2.422 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.422 * [backup-simplify]: Simplify 1/2 into 1/2 2.423 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.423 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.423 * [backup-simplify]: Simplify 0 into 0 2.424 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.424 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.424 * [backup-simplify]: Simplify 0 into 0 2.425 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.425 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.425 * [backup-simplify]: Simplify 0 into 0 2.426 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.427 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.427 * [backup-simplify]: Simplify 0 into 0 2.427 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.428 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.428 * [backup-simplify]: Simplify 0 into 0 2.429 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.430 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.430 * [backup-simplify]: Simplify 0 into 0 2.430 * [backup-simplify]: Simplify (* 1/2 (pow (/ 1 N) 2)) into (/ 1/2 (pow N 2)) 2.430 * [backup-simplify]: Simplify (/ 1/2 (* (/ 1 N) (/ 1 N))) into (* 1/2 (pow N 2)) 2.430 * [approximate]: Taking taylor expansion of (* 1/2 (pow N 2)) in (N) around 0 2.430 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 2.430 * [taylor]: Taking taylor expansion of 1/2 in N 2.430 * [backup-simplify]: Simplify 1/2 into 1/2 2.430 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.430 * [taylor]: Taking taylor expansion of N in N 2.430 * [backup-simplify]: Simplify 0 into 0 2.430 * [backup-simplify]: Simplify 1 into 1 2.430 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 2.430 * [taylor]: Taking taylor expansion of 1/2 in N 2.430 * [backup-simplify]: Simplify 1/2 into 1/2 2.430 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.430 * [taylor]: Taking taylor expansion of N in N 2.430 * [backup-simplify]: Simplify 0 into 0 2.430 * [backup-simplify]: Simplify 1 into 1 2.430 * [backup-simplify]: Simplify (* 1 1) into 1 2.431 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 2.431 * [backup-simplify]: Simplify 1/2 into 1/2 2.431 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.432 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.432 * [backup-simplify]: Simplify 0 into 0 2.432 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.433 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.433 * [backup-simplify]: Simplify 0 into 0 2.434 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.434 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.434 * [backup-simplify]: Simplify 0 into 0 2.435 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.436 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.436 * [backup-simplify]: Simplify 0 into 0 2.436 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.437 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.437 * [backup-simplify]: Simplify 0 into 0 2.438 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.439 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.439 * [backup-simplify]: Simplify 0 into 0 2.439 * [backup-simplify]: Simplify (* 1/2 (pow (/ 1 N) 2)) into (/ 1/2 (pow N 2)) 2.439 * [backup-simplify]: Simplify (/ 1/2 (* (/ 1 (- N)) (/ 1 (- N)))) into (* 1/2 (pow N 2)) 2.439 * [approximate]: Taking taylor expansion of (* 1/2 (pow N 2)) in (N) around 0 2.439 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 2.439 * [taylor]: Taking taylor expansion of 1/2 in N 2.439 * [backup-simplify]: Simplify 1/2 into 1/2 2.439 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.439 * [taylor]: Taking taylor expansion of N in N 2.439 * [backup-simplify]: Simplify 0 into 0 2.439 * [backup-simplify]: Simplify 1 into 1 2.439 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 2.439 * [taylor]: Taking taylor expansion of 1/2 in N 2.440 * [backup-simplify]: Simplify 1/2 into 1/2 2.440 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.440 * [taylor]: Taking taylor expansion of N in N 2.440 * [backup-simplify]: Simplify 0 into 0 2.440 * [backup-simplify]: Simplify 1 into 1 2.440 * [backup-simplify]: Simplify (* 1 1) into 1 2.440 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 2.440 * [backup-simplify]: Simplify 1/2 into 1/2 2.441 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.441 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.441 * [backup-simplify]: Simplify 0 into 0 2.442 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.442 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.442 * [backup-simplify]: Simplify 0 into 0 2.443 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.443 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.443 * [backup-simplify]: Simplify 0 into 0 2.444 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.445 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.445 * [backup-simplify]: Simplify 0 into 0 2.447 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.448 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.448 * [backup-simplify]: Simplify 0 into 0 2.450 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.451 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.451 * [backup-simplify]: Simplify 0 into 0 2.452 * [backup-simplify]: Simplify (* 1/2 (pow (/ 1 (- N)) 2)) into (/ 1/2 (pow N 2)) 2.452 * * * * [progress]: [ 4 / 4 ] generating series at (2 3) 2.452 * [backup-simplify]: Simplify (- (/ 1 N) (/ 1/2 (* N N))) into (- (/ 1 N) (* 1/2 (/ 1 (pow N 2)))) 2.452 * [approximate]: Taking taylor expansion of (- (/ 1 N) (* 1/2 (/ 1 (pow N 2)))) in (N) around 0 2.452 * [taylor]: Taking taylor expansion of (- (/ 1 N) (* 1/2 (/ 1 (pow N 2)))) in N 2.452 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.452 * [taylor]: Taking taylor expansion of N in N 2.452 * [backup-simplify]: Simplify 0 into 0 2.452 * [backup-simplify]: Simplify 1 into 1 2.453 * [backup-simplify]: Simplify (/ 1 1) into 1 2.453 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow N 2))) in N 2.453 * [taylor]: Taking taylor expansion of 1/2 in N 2.453 * [backup-simplify]: Simplify 1/2 into 1/2 2.453 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.453 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.453 * [taylor]: Taking taylor expansion of N in N 2.453 * [backup-simplify]: Simplify 0 into 0 2.453 * [backup-simplify]: Simplify 1 into 1 2.453 * [backup-simplify]: Simplify (* 1 1) into 1 2.454 * [backup-simplify]: Simplify (/ 1 1) into 1 2.454 * [taylor]: Taking taylor expansion of (- (/ 1 N) (* 1/2 (/ 1 (pow N 2)))) in N 2.454 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.454 * [taylor]: Taking taylor expansion of N in N 2.454 * [backup-simplify]: Simplify 0 into 0 2.454 * [backup-simplify]: Simplify 1 into 1 2.454 * [backup-simplify]: Simplify (/ 1 1) into 1 2.454 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow N 2))) in N 2.454 * [taylor]: Taking taylor expansion of 1/2 in N 2.454 * [backup-simplify]: Simplify 1/2 into 1/2 2.454 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.454 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.454 * [taylor]: Taking taylor expansion of N in N 2.454 * [backup-simplify]: Simplify 0 into 0 2.454 * [backup-simplify]: Simplify 1 into 1 2.455 * [backup-simplify]: Simplify (* 1 1) into 1 2.455 * [backup-simplify]: Simplify (/ 1 1) into 1 2.456 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 2.456 * [backup-simplify]: Simplify (- 1/2) into -1/2 2.456 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 2.456 * [backup-simplify]: Simplify -1/2 into -1/2 2.457 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.459 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.459 * [backup-simplify]: Simplify (- 0) into 0 2.459 * [backup-simplify]: Simplify (+ 1 0) into 1 2.459 * [backup-simplify]: Simplify 1 into 1 2.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.461 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.462 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.462 * [backup-simplify]: Simplify (- 0) into 0 2.462 * [backup-simplify]: Simplify (+ 0 0) into 0 2.462 * [backup-simplify]: Simplify 0 into 0 2.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.464 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.465 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.465 * [backup-simplify]: Simplify (- 0) into 0 2.465 * [backup-simplify]: Simplify (+ 0 0) into 0 2.465 * [backup-simplify]: Simplify 0 into 0 2.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.466 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.468 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.468 * [backup-simplify]: Simplify (- 0) into 0 2.468 * [backup-simplify]: Simplify (+ 0 0) into 0 2.468 * [backup-simplify]: Simplify 0 into 0 2.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.470 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.471 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.471 * [backup-simplify]: Simplify (- 0) into 0 2.471 * [backup-simplify]: Simplify (+ 0 0) into 0 2.471 * [backup-simplify]: Simplify 0 into 0 2.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.473 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.474 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.475 * [backup-simplify]: Simplify (- 0) into 0 2.475 * [backup-simplify]: Simplify (+ 0 0) into 0 2.475 * [backup-simplify]: Simplify 0 into 0 2.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.476 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 2.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.478 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 2.478 * [backup-simplify]: Simplify (- 0) into 0 2.479 * [backup-simplify]: Simplify (+ 0 0) into 0 2.479 * [backup-simplify]: Simplify 0 into 0 2.479 * [backup-simplify]: Simplify (+ (* 1 (/ 1 N)) (* -1/2 (pow (/ 1 N) 2))) into (- (/ 1 N) (* 1/2 (/ 1 (pow N 2)))) 2.479 * [backup-simplify]: Simplify (- (/ 1 (/ 1 N)) (/ 1/2 (* (/ 1 N) (/ 1 N)))) into (- N (* 1/2 (pow N 2))) 2.479 * [approximate]: Taking taylor expansion of (- N (* 1/2 (pow N 2))) in (N) around 0 2.479 * [taylor]: Taking taylor expansion of (- N (* 1/2 (pow N 2))) in N 2.479 * [taylor]: Taking taylor expansion of N in N 2.479 * [backup-simplify]: Simplify 0 into 0 2.479 * [backup-simplify]: Simplify 1 into 1 2.479 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 2.479 * [taylor]: Taking taylor expansion of 1/2 in N 2.479 * [backup-simplify]: Simplify 1/2 into 1/2 2.479 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.479 * [taylor]: Taking taylor expansion of N in N 2.479 * [backup-simplify]: Simplify 0 into 0 2.479 * [backup-simplify]: Simplify 1 into 1 2.479 * [taylor]: Taking taylor expansion of (- N (* 1/2 (pow N 2))) in N 2.479 * [taylor]: Taking taylor expansion of N in N 2.479 * [backup-simplify]: Simplify 0 into 0 2.479 * [backup-simplify]: Simplify 1 into 1 2.479 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 2.479 * [taylor]: Taking taylor expansion of 1/2 in N 2.479 * [backup-simplify]: Simplify 1/2 into 1/2 2.479 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.479 * [taylor]: Taking taylor expansion of N in N 2.479 * [backup-simplify]: Simplify 0 into 0 2.479 * [backup-simplify]: Simplify 1 into 1 2.479 * [backup-simplify]: Simplify (+ 0 0) into 0 2.480 * [backup-simplify]: Simplify 0 into 0 2.480 * [backup-simplify]: Simplify (+ 1 0) into 1 2.480 * [backup-simplify]: Simplify 1 into 1 2.480 * [backup-simplify]: Simplify (* 1 1) into 1 2.480 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 2.481 * [backup-simplify]: Simplify (- 1/2) into -1/2 2.481 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 2.481 * [backup-simplify]: Simplify -1/2 into -1/2 2.481 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.482 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.482 * [backup-simplify]: Simplify (- 0) into 0 2.482 * [backup-simplify]: Simplify (+ 0 0) into 0 2.482 * [backup-simplify]: Simplify 0 into 0 2.483 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.483 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.484 * [backup-simplify]: Simplify (- 0) into 0 2.484 * [backup-simplify]: Simplify (+ 0 0) into 0 2.484 * [backup-simplify]: Simplify 0 into 0 2.484 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.485 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.486 * [backup-simplify]: Simplify (- 0) into 0 2.486 * [backup-simplify]: Simplify (+ 0 0) into 0 2.486 * [backup-simplify]: Simplify 0 into 0 2.487 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.487 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.488 * [backup-simplify]: Simplify (- 0) into 0 2.488 * [backup-simplify]: Simplify (+ 0 0) into 0 2.488 * [backup-simplify]: Simplify 0 into 0 2.489 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.490 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.490 * [backup-simplify]: Simplify (- 0) into 0 2.490 * [backup-simplify]: Simplify (+ 0 0) into 0 2.490 * [backup-simplify]: Simplify 0 into 0 2.491 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.492 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.492 * [backup-simplify]: Simplify (- 0) into 0 2.492 * [backup-simplify]: Simplify (+ 0 0) into 0 2.492 * [backup-simplify]: Simplify 0 into 0 2.493 * [backup-simplify]: Simplify (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N))) into (- (/ 1 N) (* 1/2 (/ 1 (pow N 2)))) 2.493 * [backup-simplify]: Simplify (- (/ 1 (/ 1 (- N))) (/ 1/2 (* (/ 1 (- N)) (/ 1 (- N))))) into (- (+ N (* 1/2 (pow N 2)))) 2.493 * [approximate]: Taking taylor expansion of (- (+ N (* 1/2 (pow N 2)))) in (N) around 0 2.493 * [taylor]: Taking taylor expansion of (- (+ N (* 1/2 (pow N 2)))) in N 2.493 * [taylor]: Taking taylor expansion of (+ N (* 1/2 (pow N 2))) in N 2.493 * [taylor]: Taking taylor expansion of N in N 2.493 * [backup-simplify]: Simplify 0 into 0 2.493 * [backup-simplify]: Simplify 1 into 1 2.493 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 2.493 * [taylor]: Taking taylor expansion of 1/2 in N 2.493 * [backup-simplify]: Simplify 1/2 into 1/2 2.493 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.493 * [taylor]: Taking taylor expansion of N in N 2.493 * [backup-simplify]: Simplify 0 into 0 2.493 * [backup-simplify]: Simplify 1 into 1 2.493 * [taylor]: Taking taylor expansion of (- (+ N (* 1/2 (pow N 2)))) in N 2.493 * [taylor]: Taking taylor expansion of (+ N (* 1/2 (pow N 2))) in N 2.493 * [taylor]: Taking taylor expansion of N in N 2.493 * [backup-simplify]: Simplify 0 into 0 2.493 * [backup-simplify]: Simplify 1 into 1 2.493 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 2.493 * [taylor]: Taking taylor expansion of 1/2 in N 2.493 * [backup-simplify]: Simplify 1/2 into 1/2 2.493 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.493 * [taylor]: Taking taylor expansion of N in N 2.493 * [backup-simplify]: Simplify 0 into 0 2.493 * [backup-simplify]: Simplify 1 into 1 2.494 * [backup-simplify]: Simplify (+ 0 0) into 0 2.494 * [backup-simplify]: Simplify (- 0) into 0 2.494 * [backup-simplify]: Simplify 0 into 0 2.495 * [backup-simplify]: Simplify (+ 1 0) into 1 2.495 * [backup-simplify]: Simplify (- 1) into -1 2.495 * [backup-simplify]: Simplify -1 into -1 2.495 * [backup-simplify]: Simplify (* 1 1) into 1 2.496 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 2.496 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 2.497 * [backup-simplify]: Simplify (- 1/2) into -1/2 2.497 * [backup-simplify]: Simplify -1/2 into -1/2 2.498 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.498 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.499 * [backup-simplify]: Simplify (+ 0 0) into 0 2.499 * [backup-simplify]: Simplify (- 0) into 0 2.499 * [backup-simplify]: Simplify 0 into 0 2.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.501 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.501 * [backup-simplify]: Simplify (+ 0 0) into 0 2.501 * [backup-simplify]: Simplify (- 0) into 0 2.501 * [backup-simplify]: Simplify 0 into 0 2.502 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.502 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.503 * [backup-simplify]: Simplify (+ 0 0) into 0 2.503 * [backup-simplify]: Simplify (- 0) into 0 2.503 * [backup-simplify]: Simplify 0 into 0 2.504 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.504 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.505 * [backup-simplify]: Simplify (+ 0 0) into 0 2.505 * [backup-simplify]: Simplify (- 0) into 0 2.505 * [backup-simplify]: Simplify 0 into 0 2.506 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.506 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.507 * [backup-simplify]: Simplify (+ 0 0) into 0 2.507 * [backup-simplify]: Simplify (- 0) into 0 2.507 * [backup-simplify]: Simplify 0 into 0 2.508 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.510 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.511 * [backup-simplify]: Simplify (+ 0 0) into 0 2.511 * [backup-simplify]: Simplify (- 0) into 0 2.511 * [backup-simplify]: Simplify 0 into 0 2.511 * [backup-simplify]: Simplify (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N)))) into (- (/ 1 N) (* 1/2 (/ 1 (pow N 2)))) 2.511 * * * [progress]: simplifying candidates 2.511 * * * * [progress]: [ 1 / 199 ] simplifiying candidate # 2.511 * * * * [progress]: [ 2 / 199 ] simplifiying candidate # 2.511 * * * * [progress]: [ 3 / 199 ] simplifiying candidate # 2.511 * * * * [progress]: [ 4 / 199 ] simplifiying candidate # 2.511 * * * * [progress]: [ 5 / 199 ] simplifiying candidate # 2.511 * * * * [progress]: [ 6 / 199 ] simplifiying candidate # 2.512 * * * * [progress]: [ 7 / 199 ] simplifiying candidate # 2.512 * * * * [progress]: [ 8 / 199 ] simplifiying candidate # 2.512 * * * * [progress]: [ 9 / 199 ] simplifiying candidate # 2.512 * * * * [progress]: [ 10 / 199 ] simplifiying candidate # 2.512 * * * * [progress]: [ 11 / 199 ] simplifiying candidate #real (real->posit16 (fma (/ 1/3 (* N N)) (/ 1 N) (- (/ 1 N) (/ 1/2 (* N N)))))))> 2.512 * * * * [progress]: [ 12 / 199 ] 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[progress]: [ 58 / 199 ] simplifiying candidate # 2.514 * * * * [progress]: [ 59 / 199 ] simplifiying candidate #real (real->posit16 (/ 1/2 (* N N)))))))> 2.514 * * * * [progress]: [ 60 / 199 ] simplifiying candidate # 2.514 * * * * [progress]: [ 61 / 199 ] simplifiying candidate # 2.514 * * * * [progress]: [ 62 / 199 ] simplifiying candidate # 2.514 * * * * [progress]: [ 63 / 199 ] simplifiying candidate # 2.514 * * * * [progress]: [ 64 / 199 ] simplifiying candidate # 2.514 * * * * [progress]: [ 65 / 199 ] simplifiying candidate # 2.514 * * * * [progress]: [ 66 / 199 ] simplifiying candidate # 2.514 * * * * [progress]: [ 67 / 199 ] simplifiying candidate # 2.514 * * * * [progress]: [ 68 / 199 ] simplifiying candidate # 2.514 * * * * [progress]: [ 69 / 199 ] simplifiying candidate # 2.514 * * * * [progress]: [ 70 / 199 ] simplifiying candidate # 2.514 * * * * [progress]: [ 71 / 199 ] simplifiying candidate # 2.514 * * * * [progress]: [ 72 / 199 ] simplifiying candidate # 2.514 * * * * 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2.519 * * * * [progress]: [ 181 / 199 ] simplifiying candidate # 2.519 * * * * [progress]: [ 182 / 199 ] simplifiying candidate # 2.519 * * * * [progress]: [ 183 / 199 ] simplifiying candidate # 2.519 * * * * [progress]: [ 184 / 199 ] simplifiying candidate # 2.519 * * * * [progress]: [ 185 / 199 ] simplifiying candidate # 2.519 * * * * [progress]: [ 186 / 199 ] simplifiying candidate # 2.519 * * * * [progress]: [ 187 / 199 ] simplifiying candidate #real (real->posit16 (- (/ 1 N) (/ 1/2 (* N N)))))))> 2.519 * * * * [progress]: [ 188 / 199 ] simplifiying candidate # 2.519 * * * * [progress]: [ 189 / 199 ] simplifiying candidate # 2.519 * * * * [progress]: [ 190 / 199 ] simplifiying candidate # 2.519 * * * * [progress]: [ 191 / 199 ] simplifiying candidate # 2.519 * * * * [progress]: [ 192 / 199 ] simplifiying candidate # 2.519 * * * * [progress]: [ 193 / 199 ] simplifiying candidate # 2.519 * * * * [progress]: [ 194 / 199 ] simplifiying candidate # 2.519 * * * * [progress]: [ 195 / 199 ] simplifiying candidate # 2.519 * * * * [progress]: [ 196 / 199 ] simplifiying candidate # 2.519 * * * * [progress]: [ 197 / 199 ] simplifiying candidate # 2.520 * * * * [progress]: [ 198 / 199 ] simplifiying candidate # 2.520 * * * * [progress]: [ 199 / 199 ] simplifiying candidate # 2.522 * [simplify]: Simplifying: (expm1 (fma (/ 1/3 (* N N)) (/ 1 N) (- (/ 1 N) (/ 1/2 (* N N))))) (log1p (fma (/ 1/3 (* N N)) (/ 1 N) (- (/ 1 N) (/ 1/2 (* N N))))) (* (/ 1/3 (* N N)) (/ 1 N)) (log (fma (/ 1/3 (* N N)) (/ 1 N) (- (/ 1 N) (/ 1/2 (* N N))))) (exp (fma (/ 1/3 (* N N)) (/ 1 N) (- (/ 1 N) (/ 1/2 (* N N))))) (* (cbrt (fma (/ 1/3 (* N N)) (/ 1 N) (- (/ 1 N) (/ 1/2 (* N N))))) (cbrt (fma (/ 1/3 (* N N)) (/ 1 N) (- (/ 1 N) (/ 1/2 (* N N)))))) (cbrt (fma (/ 1/3 (* N N)) (/ 1 N) (- (/ 1 N) (/ 1/2 (* N N))))) (* (* (fma (/ 1/3 (* N N)) (/ 1 N) (- (/ 1 N) (/ 1/2 (* N N)))) (fma (/ 1/3 (* N N)) (/ 1 N) (- (/ 1 N) (/ 1/2 (* N N))))) (fma (/ 1/3 (* N N)) (/ 1 N) (- (/ 1 N) (/ 1/2 (* N N))))) (sqrt (fma (/ 1/3 (* N N)) (/ 1 N) (- (/ 1 N) (/ 1/2 (* N N))))) (sqrt (fma (/ 1/3 (* N N)) (/ 1 N) (- (/ 1 N) (/ 1/2 (* N N))))) (real->posit16 (fma (/ 1/3 (* N N)) (/ 1 N) (- (/ 1 N) (/ 1/2 (* N N))))) (expm1 (/ 1/3 (* N N))) (log1p (/ 1/3 (* N N))) (- (log 1/3) (+ (log N) (log N))) (- (log 1/3) (log (* N N))) (log (/ 1/3 (* N N))) (exp (/ 1/3 (* N N))) (/ (* (* 1/3 1/3) 1/3) (* (* (* N N) N) (* (* N N) N))) (/ (* (* 1/3 1/3) 1/3) (* (* (* N N) (* N N)) (* N N))) (* (cbrt (/ 1/3 (* N N))) (cbrt (/ 1/3 (* N N)))) (cbrt (/ 1/3 (* N N))) (* (* (/ 1/3 (* N N)) (/ 1/3 (* N N))) (/ 1/3 (* N N))) (sqrt (/ 1/3 (* N N))) (sqrt (/ 1/3 (* N N))) (- 1/3) (- (* N N)) (/ (* (cbrt 1/3) (cbrt 1/3)) N) (/ (cbrt 1/3) N) (/ (sqrt 1/3) N) (/ (sqrt 1/3) N) (/ 1 N) (/ 1/3 N) (/ 1 (* N N)) (/ (* N N) 1/3) (/ 1/3 N) (/ (* N N) (cbrt 1/3)) (/ (* N N) (sqrt 1/3)) (/ (* N N) 1/3) (real->posit16 (/ 1/3 (* N N))) (expm1 (/ 1/2 (* N N))) (log1p (/ 1/2 (* N N))) (- (log 1/2) (+ (log N) (log N))) (- (log 1/2) (log (* N N))) (log (/ 1/2 (* N N))) (exp (/ 1/2 (* N N))) (/ (* (* 1/2 1/2) 1/2) (* (* (* N N) N) (* (* N N) N))) (/ (* (* 1/2 1/2) 1/2) (* (* (* N N) (* N N)) (* N N))) (* (cbrt (/ 1/2 (* N N))) (cbrt (/ 1/2 (* N N)))) (cbrt (/ 1/2 (* N N))) (* (* (/ 1/2 (* N N)) (/ 1/2 (* N N))) (/ 1/2 (* N N))) (sqrt (/ 1/2 (* N N))) (sqrt (/ 1/2 (* N N))) (- 1/2) (- (* N N)) (/ (* (cbrt 1/2) (cbrt 1/2)) N) (/ (cbrt 1/2) N) (/ (sqrt 1/2) N) (/ (sqrt 1/2) N) (/ 1 N) (/ 1/2 N) (/ 1 (* N N)) (/ (* N N) 1/2) (/ 1/2 N) (/ (* N N) (cbrt 1/2)) (/ (* N N) (sqrt 1/2)) (/ (* N N) 1/2) (real->posit16 (/ 1/2 (* N N))) (fma (* (cbrt (/ 1 N)) (cbrt (/ 1 N))) (cbrt (/ 1 N)) (- (* (cbrt (/ 1/2 (* N N))) (* (cbrt (/ 1/2 (* N N))) (cbrt (/ 1/2 (* N N))))))) (fma (- (cbrt (/ 1/2 (* N N)))) (* (cbrt (/ 1/2 (* N N))) (cbrt (/ 1/2 (* N N)))) (* (cbrt (/ 1/2 (* N N))) (* (cbrt (/ 1/2 (* N N))) (cbrt (/ 1/2 (* N N)))))) (fma (* (cbrt (/ 1 N)) (cbrt (/ 1 N))) (cbrt (/ 1 N)) (- (* (sqrt (/ 1/2 (* N N))) (sqrt (/ 1/2 (* N N)))))) (fma (- (sqrt (/ 1/2 (* N N)))) (sqrt (/ 1/2 (* N N))) (* (sqrt (/ 1/2 (* N N))) (sqrt (/ 1/2 (* N N))))) (fma (* (cbrt (/ 1 N)) (cbrt (/ 1 N))) (cbrt (/ 1 N)) (- (* (/ (cbrt 1/2) N) (/ (* (cbrt 1/2) (cbrt 1/2)) N)))) (fma (- (/ (cbrt 1/2) N)) (/ (* (cbrt 1/2) (cbrt 1/2)) N) (* (/ (cbrt 1/2) N) (/ (* (cbrt 1/2) (cbrt 1/2)) N))) (fma (* (cbrt (/ 1 N)) (cbrt (/ 1 N))) (cbrt (/ 1 N)) (- (* (/ (sqrt 1/2) N) (/ (sqrt 1/2) N)))) (fma (- (/ (sqrt 1/2) N)) (/ (sqrt 1/2) N) (* (/ (sqrt 1/2) N) (/ (sqrt 1/2) N))) (fma (* (cbrt (/ 1 N)) (cbrt (/ 1 N))) (cbrt (/ 1 N)) (- (* (/ 1/2 N) (/ 1 N)))) (fma (- (/ 1/2 N)) (/ 1 N) (* (/ 1/2 N) (/ 1 N))) (fma (* (cbrt (/ 1 N)) (cbrt (/ 1 N))) (cbrt (/ 1 N)) (- (* (/ 1/2 (* N N)) 1))) (fma (- (/ 1/2 (* N N))) 1 (* (/ 1/2 (* N N)) 1)) (fma (* (cbrt (/ 1 N)) (cbrt (/ 1 N))) (cbrt (/ 1 N)) (- (* (/ 1 (* N N)) 1/2))) (fma (- (/ 1 (* N N))) 1/2 (* (/ 1 (* N N)) 1/2)) (fma (sqrt (/ 1 N)) (sqrt (/ 1 N)) (- (* (cbrt (/ 1/2 (* N N))) (* (cbrt (/ 1/2 (* N N))) (cbrt (/ 1/2 (* N N))))))) (fma (- (cbrt (/ 1/2 (* N N)))) (* (cbrt (/ 1/2 (* N N))) (cbrt (/ 1/2 (* N N)))) (* (cbrt (/ 1/2 (* N N))) (* (cbrt (/ 1/2 (* N N))) (cbrt (/ 1/2 (* N N)))))) (fma (sqrt (/ 1 N)) (sqrt (/ 1 N)) (- (* (sqrt (/ 1/2 (* N N))) (sqrt (/ 1/2 (* N N)))))) (fma (- (sqrt (/ 1/2 (* N N)))) (sqrt (/ 1/2 (* N N))) (* (sqrt (/ 1/2 (* N N))) (sqrt (/ 1/2 (* N N))))) (fma (sqrt (/ 1 N)) (sqrt (/ 1 N)) (- (* (/ (cbrt 1/2) N) (/ (* (cbrt 1/2) (cbrt 1/2)) N)))) (fma (- (/ (cbrt 1/2) N)) (/ (* (cbrt 1/2) (cbrt 1/2)) N) (* (/ (cbrt 1/2) N) (/ (* (cbrt 1/2) (cbrt 1/2)) N))) (fma (sqrt (/ 1 N)) (sqrt (/ 1 N)) (- (* (/ (sqrt 1/2) N) (/ (sqrt 1/2) N)))) (fma (- (/ (sqrt 1/2) N)) (/ (sqrt 1/2) N) (* (/ (sqrt 1/2) N) (/ (sqrt 1/2) N))) (fma (sqrt (/ 1 N)) (sqrt (/ 1 N)) (- (* (/ 1/2 N) (/ 1 N)))) (fma (- (/ 1/2 N)) (/ 1 N) (* (/ 1/2 N) (/ 1 N))) (fma (sqrt (/ 1 N)) (sqrt (/ 1 N)) (- (* (/ 1/2 (* N N)) 1))) (fma (- (/ 1/2 (* N N))) 1 (* (/ 1/2 (* N N)) 1)) (fma (sqrt (/ 1 N)) (sqrt (/ 1 N)) (- (* (/ 1 (* N N)) 1/2))) (fma (- (/ 1 (* N N))) 1/2 (* (/ 1 (* N N)) 1/2)) (fma (/ (* (cbrt 1) (cbrt 1)) (* (cbrt N) (cbrt N))) (/ (cbrt 1) (cbrt N)) (- (* (cbrt (/ 1/2 (* N N))) (* (cbrt (/ 1/2 (* N N))) (cbrt (/ 1/2 (* N N))))))) (fma (- (cbrt (/ 1/2 (* N N)))) (* (cbrt (/ 1/2 (* N N))) (cbrt (/ 1/2 (* N N)))) (* (cbrt (/ 1/2 (* N N))) (* (cbrt (/ 1/2 (* N N))) (cbrt (/ 1/2 (* N N)))))) (fma (/ (* (cbrt 1) (cbrt 1)) (* (cbrt N) (cbrt N))) (/ (cbrt 1) (cbrt N)) (- (* (sqrt (/ 1/2 (* N N))) (sqrt (/ 1/2 (* N N)))))) (fma (- (sqrt (/ 1/2 (* N N)))) (sqrt (/ 1/2 (* N N))) (* (sqrt (/ 1/2 (* N N))) (sqrt (/ 1/2 (* N N))))) (fma (/ (* (cbrt 1) (cbrt 1)) (* (cbrt N) (cbrt N))) (/ (cbrt 1) (cbrt N)) (- (* (/ (cbrt 1/2) N) (/ (* (cbrt 1/2) (cbrt 1/2)) N)))) (fma (- (/ (cbrt 1/2) N)) (/ (* (cbrt 1/2) (cbrt 1/2)) N) (* (/ (cbrt 1/2) N) (/ (* (cbrt 1/2) (cbrt 1/2)) N))) (fma (/ (* (cbrt 1) (cbrt 1)) (* (cbrt N) (cbrt N))) (/ (cbrt 1) (cbrt N)) (- (* (/ (sqrt 1/2) N) (/ (sqrt 1/2) N)))) (fma (- (/ (sqrt 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(/ 1/2 (* N N)))) (cbrt (- (/ 1 N) (/ 1/2 (* N N))))) (cbrt (- (/ 1 N) (/ 1/2 (* N N)))) (* (* (- (/ 1 N) (/ 1/2 (* N N))) (- (/ 1 N) (/ 1/2 (* N N)))) (- (/ 1 N) (/ 1/2 (* N N)))) (sqrt (- (/ 1 N) (/ 1/2 (* N N)))) (sqrt (- (/ 1 N) (/ 1/2 (* N N)))) (- (* 1 (* N N)) (* N 1/2)) (* N (* N N)) (- (pow (/ 1 N) 3) (pow (/ 1/2 (* N N)) 3)) (+ (* (/ 1 N) (/ 1 N)) (+ (* (/ 1/2 (* N N)) (/ 1/2 (* N N))) (* (/ 1 N) (/ 1/2 (* N N))))) (- (/ 1/2 (* N N))) (- (* (/ 1 N) (/ 1 N)) (* (/ 1/2 (* N N)) (/ 1/2 (* N N)))) (+ (/ 1 N) (/ 1/2 (* N N))) (+ (sqrt (/ 1 N)) (sqrt (/ 1/2 (* N N)))) (- (sqrt (/ 1 N)) (sqrt (/ 1/2 (* N N)))) (+ (sqrt (/ 1 N)) (/ (sqrt 1/2) N)) (- (sqrt (/ 1 N)) (/ (sqrt 1/2) N)) (+ (/ (sqrt 1) (sqrt N)) (sqrt (/ 1/2 (* N N)))) (- (/ (sqrt 1) (sqrt N)) (sqrt (/ 1/2 (* N N)))) (+ (/ (sqrt 1) (sqrt N)) (/ (sqrt 1/2) N)) (- (/ (sqrt 1) (sqrt N)) (/ (sqrt 1/2) N)) (+ (/ 1 (sqrt N)) (sqrt (/ 1/2 (* N N)))) (- (/ 1 (sqrt N)) (sqrt (/ 1/2 (* N N)))) (+ (/ 1 (sqrt N)) (/ (sqrt 1/2) N)) (- (/ 1 (sqrt N)) (/ (sqrt 1/2) N)) (- (/ 1 N) (/ 1/2 (* N N))) (- (/ 1 N) (/ 1/2 (* N N))) (- (/ 1/2 (* N N))) (real->posit16 (- (/ 1 N) (/ 1/2 (* N N)))) (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (* 1/2 (/ 1 (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)))) (/ 1/3 (pow N 2)) (/ 1/3 (pow N 2)) (/ 1/3 (pow N 2)) (/ 1/2 (pow N 2)) (/ 1/2 (pow N 2)) (/ 1/2 (pow N 2)) (- (/ 1 N) (* 1/2 (/ 1 (pow N 2)))) (- (/ 1 N) (* 1/2 (/ 1 (pow N 2)))) (- (/ 1 N) (* 1/2 (/ 1 (pow N 2)))) 2.526 * * [simplify]: iteration 0: 274 enodes 2.642 * * [simplify]: iteration 1: 621 enodes 2.875 * * [simplify]: iteration 2: 1570 enodes 3.208 * * [simplify]: iteration 3: 2001 enodes 3.454 * * [simplify]: iteration complete: 2001 enodes 3.454 * * [simplify]: Extracting #0: cost 92 inf + 0 3.457 * * [simplify]: Extracting #1: cost 357 inf + 2 3.461 * * [simplify]: Extracting #2: cost 436 inf + 5102 3.474 * * [simplify]: Extracting #3: cost 190 inf + 42988 3.497 * * [simplify]: Extracting #4: cost 23 inf + 73761 3.515 * * [simplify]: Extracting #5: cost 0 inf + 78944 3.548 * * [simplify]: Extracting #6: cost 0 inf + 78914 3.575 * [simplify]: Simplified to: (expm1 (fma (/ 1/3 N) (* (/ 1 N) (/ 1 N)) (fma (/ -1/2 N) (/ 1 N) (/ 1 N)))) (log1p (fma (/ 1/3 N) (* (/ 1 N) (/ 1 N)) (fma (/ -1/2 N) (/ 1 N) (/ 1 N)))) (/ (/ (/ 1/3 N) N) N) (log (fma (/ 1/3 N) (* (/ 1 N) (/ 1 N)) (fma (/ -1/2 N) (/ 1 N) (/ 1 N)))) (exp (fma (/ 1/3 N) (* (/ 1 N) (/ 1 N)) (fma (/ -1/2 N) (/ 1 N) (/ 1 N)))) (* (cbrt (fma (/ 1/3 N) (* (/ 1 N) (/ 1 N)) (fma (/ -1/2 N) (/ 1 N) (/ 1 N)))) (cbrt (fma (/ 1/3 N) (* (/ 1 N) (/ 1 N)) (fma (/ -1/2 N) (/ 1 N) (/ 1 N))))) (cbrt (fma (/ 1/3 N) (* (/ 1 N) (/ 1 N)) (fma (/ -1/2 N) (/ 1 N) (/ 1 N)))) (* (* (fma (/ 1/3 N) (* (/ 1 N) (/ 1 N)) (fma (/ -1/2 N) (/ 1 N) (/ 1 N))) (fma (/ 1/3 N) (* (/ 1 N) (/ 1 N)) (fma (/ -1/2 N) (/ 1 N) (/ 1 N)))) (fma (/ 1/3 N) (* (/ 1 N) (/ 1 N)) (fma (/ -1/2 N) (/ 1 N) (/ 1 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1/2 (* N N)) -1 (/ 1/2 (* N N))) (fma (/ -1/2 N) (/ 1 N) (/ 1 N)) (fma (/ 1/2 (* N N)) -1 (/ 1/2 (* N N))) (fma (/ -1/2 N) (/ 1 N) (/ 1 N)) (fma (/ 1/2 (* N N)) -1 (/ 1/2 (* N N))) (- (/ 1 N) (/ (/ (cbrt 1/2) (/ N (cbrt 1/2))) (/ N (cbrt 1/2)))) (+ (- (/ (/ (cbrt 1/2) (/ N (cbrt 1/2))) (/ N (cbrt 1/2)))) (/ (/ (cbrt 1/2) (/ N (cbrt 1/2))) (/ N (cbrt 1/2)))) (- (/ 1 N) (* (/ (sqrt 1/2) N) (/ (sqrt 1/2) N))) (* (/ (sqrt 1/2) N) (+ (- (/ (sqrt 1/2) N)) (/ (sqrt 1/2) N))) (fma (/ -1/2 N) (/ 1 N) (/ 1 N)) (fma (/ 1/2 (* N N)) -1 (/ 1/2 (* N N))) (fma (/ -1/2 N) (/ 1 N) (/ 1 N)) (fma (/ 1/2 (* N N)) -1 (/ 1/2 (* N N))) (fma (/ -1/2 N) (/ 1 N) (/ 1 N)) (fma (/ 1/2 (* N N)) -1 (/ 1/2 (* N N))) (expm1 (fma (/ -1/2 N) (/ 1 N) (/ 1 N))) (log1p (fma (/ -1/2 N) (/ 1 N) (/ 1 N))) (/ -1/2 (* N N)) (/ -1/2 (* N N)) (/ -1/2 (* N N)) (/ -1/2 (* N N)) (/ -1/2 (* N N)) (/ -1/2 (* N N)) (/ -1/2 (* N N)) (/ -1/2 (* N N)) (/ -1/2 (* N N)) (/ -1/2 (* N N)) (/ -1/2 (* N N)) (/ -1/2 (* N N)) (/ -1/2 (* N N)) (exp (fma (/ -1/2 N) (/ 1 N) (/ 1 N))) (log (fma (/ -1/2 N) (/ 1 N) (/ 1 N))) (exp (fma (/ -1/2 N) (/ 1 N) (/ 1 N))) (* (cbrt (fma (/ -1/2 N) (/ 1 N) (/ 1 N))) (cbrt (fma (/ -1/2 N) (/ 1 N) (/ 1 N)))) (cbrt (fma (/ -1/2 N) (/ 1 N) (/ 1 N))) (* (* (fma (/ -1/2 N) (/ 1 N) (/ 1 N)) (fma (/ -1/2 N) (/ 1 N) (/ 1 N))) (fma (/ -1/2 N) (/ 1 N) (/ 1 N))) (sqrt (fma (/ -1/2 N) (/ 1 N) (/ 1 N))) (sqrt (fma (/ -1/2 N) (/ 1 N) (/ 1 N))) (fma N N (* -1/2 N)) (* (* N N) N) (- (* (* (/ 1 N) (/ 1 N)) (/ 1 N)) (/ (/ 1/8 (* (* N N) N)) (* (* N N) N))) (fma (/ 1/2 (* N N)) (/ 1 N) (fma (/ 1/2 (* N N)) (/ 1/2 (* N N)) (* (/ 1 N) (/ 1 N)))) (/ -1/2 (* N N)) (- (* (/ 1 N) (/ 1 N)) (* (/ 1/2 (* N N)) (/ 1/2 (* N N)))) (fma (/ 1/2 N) (/ 1 N) (/ 1 N)) (+ (sqrt (/ 1 N)) (sqrt (/ 1/2 (* N N)))) (- (sqrt (/ 1 N)) (sqrt (/ 1/2 (* N N)))) (+ (/ (sqrt 1/2) N) (sqrt (/ 1 N))) (- (sqrt (/ 1 N)) (/ (sqrt 1/2) N)) (+ (/ 1 (sqrt N)) (sqrt (/ 1/2 (* N N)))) (- (/ 1 (sqrt N)) (sqrt (/ 1/2 (* N N)))) (+ (/ (sqrt 1/2) N) (/ 1 (sqrt N))) (- (/ 1 (sqrt N)) (/ (sqrt 1/2) N)) (+ (/ 1 (sqrt N)) (sqrt (/ 1/2 (* N N)))) (- (/ 1 (sqrt N)) (sqrt (/ 1/2 (* N N)))) (+ (/ (sqrt 1/2) N) (/ 1 (sqrt N))) (- (/ 1 (sqrt N)) (/ (sqrt 1/2) N)) (fma (/ -1/2 N) (/ 1 N) (/ 1 N)) (fma (/ -1/2 N) (/ 1 N) (/ 1 N)) (/ -1/2 (* N N)) (real->posit16 (fma (/ -1/2 N) (/ 1 N) (/ 1 N))) (fma (* 1/3 (/ 1 N)) (* (/ 1 N) (/ 1 N)) (fma (/ -1/2 N) (/ 1 N) (/ 1 N))) (fma (* 1/3 (/ 1 N)) (* (/ 1 N) (/ 1 N)) (fma (/ -1/2 N) (/ 1 N) (/ 1 N))) (fma (* 1/3 (/ 1 N)) (* (/ 1 N) (/ 1 N)) (fma (/ -1/2 N) (/ 1 N) (/ 1 N))) (/ (/ 1/3 N) N) (/ (/ 1/3 N) N) (/ (/ 1/3 N) N) (/ 1/2 (* N N)) (/ 1/2 (* N N)) (/ 1/2 (* N N)) (fma (/ -1/2 N) (/ 1 N) (/ 1 N)) (fma (/ -1/2 N) (/ 1 N) (/ 1 N)) (fma (/ -1/2 N) (/ 1 N) (/ 1 N)) 3.601 * * * [progress]: adding candidates to table 5.339 * * [progress]: iteration 3 / 4 5.339 * * * [progress]: picking best candidate 5.347 * * * * [pick]: Picked # 5.347 * * * [progress]: localizing error 5.392 * * * [progress]: generating rewritten candidates 5.392 * * * * [progress]: [ 1 / 4 ] rewriting at (2 3 2) 5.393 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 5.393 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 5.406 * * * * [progress]: [ 4 / 4 ] rewriting at (2 3 2 3 2) 5.424 * * * [progress]: generating series expansions 5.424 * * * * [progress]: [ 1 / 4 ] generating series at (2 3 2) 5.426 * [backup-simplify]: Simplify (fma (- (/ (sqrt 1/2) N)) (/ (sqrt 1/2) N) (* (/ (sqrt 1/2) N) (/ (sqrt 1/2) N))) into (fma (- (/ (sqrt 1/2) N)) (/ (sqrt 1/2) N) (/ (pow (sqrt 1/2) 2) (pow N 2))) 5.426 * [approximate]: Taking taylor expansion of (fma (- (/ (sqrt 1/2) N)) (/ (sqrt 1/2) N) (/ (pow (sqrt 1/2) 2) (pow N 2))) in (N) around 0 5.426 * [taylor]: Taking taylor expansion of (fma (- (/ (sqrt 1/2) N)) (/ (sqrt 1/2) N) (/ (pow (sqrt 1/2) 2) (pow N 2))) in N 5.427 * [taylor]: Rewrote expression to (+ (* (- (/ (sqrt 1/2) N)) (/ (sqrt 1/2) N)) (/ (pow (sqrt 1/2) 2) (pow N 2))) 5.427 * [taylor]: Taking taylor expansion of (* (- (/ (sqrt 1/2) N)) (/ (sqrt 1/2) N)) in N 5.427 * [taylor]: Taking taylor expansion of (- (/ (sqrt 1/2) N)) in N 5.427 * [taylor]: Taking taylor expansion of (/ (sqrt 1/2) N) in N 5.427 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 5.427 * [taylor]: Taking taylor expansion of 1/2 in N 5.427 * [backup-simplify]: Simplify 1/2 into 1/2 5.427 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 5.428 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 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 5.429 * [backup-simplify]: Simplify (/ (sqrt 1/2) 1) into (sqrt 1/2) 5.429 * [taylor]: Taking taylor expansion of (/ (sqrt 1/2) N) in N 5.429 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 5.429 * [taylor]: Taking taylor expansion of 1/2 in N 5.429 * [backup-simplify]: Simplify 1/2 into 1/2 5.429 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 5.431 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 5.431 * [taylor]: Taking taylor expansion of N in N 5.431 * [backup-simplify]: Simplify 0 into 0 5.431 * [backup-simplify]: Simplify 1 into 1 5.432 * [backup-simplify]: Simplify (/ (sqrt 1/2) 1) into (sqrt 1/2) 5.432 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1/2) 2) (pow N 2)) in N 5.432 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in N 5.432 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 5.432 * [taylor]: Taking taylor expansion of 1/2 in N 5.432 * [backup-simplify]: Simplify 1/2 into 1/2 5.432 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 5.433 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 5.433 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.433 * [taylor]: Taking taylor expansion of N in N 5.433 * [backup-simplify]: Simplify 0 into 0 5.433 * [backup-simplify]: Simplify 1 into 1 5.434 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 5.435 * [backup-simplify]: Simplify (* 1 1) into 1 5.436 * [backup-simplify]: Simplify (/ (pow (sqrt 1/2) 2) 1) into (pow (sqrt 1/2) 2) 5.436 * [taylor]: Taking taylor expansion of (fma (- (/ (sqrt 1/2) N)) (/ (sqrt 1/2) N) (/ (pow (sqrt 1/2) 2) (pow N 2))) in N 5.436 * [taylor]: Rewrote expression to (+ (* (- (/ (sqrt 1/2) N)) (/ (sqrt 1/2) N)) (/ (pow (sqrt 1/2) 2) (pow N 2))) 5.436 * [taylor]: Taking taylor expansion of (* (- (/ (sqrt 1/2) N)) (/ (sqrt 1/2) N)) in N 5.436 * [taylor]: Taking taylor expansion of (- (/ (sqrt 1/2) N)) in N 5.437 * [taylor]: Taking taylor expansion of (/ (sqrt 1/2) N) in N 5.437 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 5.437 * [taylor]: Taking taylor expansion of 1/2 in N 5.437 * [backup-simplify]: Simplify 1/2 into 1/2 5.437 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 5.438 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 5.438 * [taylor]: Taking taylor expansion of N in N 5.438 * [backup-simplify]: Simplify 0 into 0 5.438 * [backup-simplify]: Simplify 1 into 1 5.439 * [backup-simplify]: Simplify (/ (sqrt 1/2) 1) into (sqrt 1/2) 5.439 * [taylor]: Taking taylor expansion of (/ (sqrt 1/2) N) in N 5.439 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 5.439 * [taylor]: Taking taylor expansion of 1/2 in N 5.439 * [backup-simplify]: Simplify 1/2 into 1/2 5.439 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 5.440 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 5.440 * [taylor]: Taking taylor expansion of N in N 5.440 * [backup-simplify]: Simplify 0 into 0 5.440 * [backup-simplify]: Simplify 1 into 1 5.441 * [backup-simplify]: Simplify (/ (sqrt 1/2) 1) into (sqrt 1/2) 5.441 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1/2) 2) (pow N 2)) in N 5.441 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in N 5.441 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 5.441 * [taylor]: Taking taylor expansion of 1/2 in N 5.441 * [backup-simplify]: Simplify 1/2 into 1/2 5.441 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 5.441 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 5.441 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.441 * [taylor]: Taking taylor expansion of N in N 5.441 * [backup-simplify]: Simplify 0 into 0 5.441 * [backup-simplify]: Simplify 1 into 1 5.442 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 5.442 * [backup-simplify]: Simplify (* 1 1) into 1 5.443 * [backup-simplify]: Simplify (/ (pow (sqrt 1/2) 2) 1) into (pow (sqrt 1/2) 2) 5.444 * [backup-simplify]: Simplify (- (sqrt 1/2)) into (- (sqrt 1/2)) 5.445 * [backup-simplify]: Simplify (* (- (sqrt 1/2)) (sqrt 1/2)) into (* -1 (pow (sqrt 1/2) 2)) 5.447 * [backup-simplify]: Simplify (+ (* -1 (pow (sqrt 1/2) 2)) (pow (sqrt 1/2) 2)) into 0 5.447 * [backup-simplify]: Simplify 0 into 0 5.447 * [backup-simplify]: Simplify (- (sqrt 1/2)) into (- (sqrt 1/2)) 5.448 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)))) into 0 5.449 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)))) into 0 5.449 * [backup-simplify]: Simplify (- 0) into 0 5.449 * [backup-simplify]: Simplify (+ (* (- (sqrt 1/2)) 0) (* 0 (sqrt 1/2))) into 0 5.450 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 5.450 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.451 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 1/2) 2) (/ 0 1)))) into 0 5.451 * [backup-simplify]: Simplify (+ 0 0) into 0 5.451 * [backup-simplify]: Simplify 0 into 0 5.452 * [backup-simplify]: Simplify (- (sqrt 1/2)) into (- (sqrt 1/2)) 5.452 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 5.453 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.453 * [backup-simplify]: Simplify (- 0) into 0 5.454 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 5.455 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.455 * [backup-simplify]: Simplify (- 0) into 0 5.455 * [backup-simplify]: Simplify (+ (* (- (sqrt 1/2)) 0) (+ (* 0 0) (* 0 (sqrt 1/2)))) into 0 5.456 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 5.457 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (* 0 (sqrt 1/2)))) into 0 5.457 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.458 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 1/2) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.458 * [backup-simplify]: Simplify (+ 0 0) into 0 5.458 * [backup-simplify]: Simplify 0 into 0 5.459 * [backup-simplify]: Simplify (- (sqrt 1/2)) into (- (sqrt 1/2)) 5.460 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 5.460 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.461 * [backup-simplify]: Simplify (- 0) into 0 5.461 * [backup-simplify]: Simplify (- 0) into 0 5.462 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 5.462 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.462 * [backup-simplify]: Simplify (- 0) into 0 5.463 * [backup-simplify]: Simplify (+ (* (- (sqrt 1/2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2))))) into 0 5.464 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 5.465 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2))))) into 0 5.465 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.466 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 1/2) 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.466 * [backup-simplify]: Simplify (+ 0 0) into 0 5.466 * [backup-simplify]: Simplify 0 into 0 5.467 * [backup-simplify]: Simplify (- (sqrt 1/2)) into (- (sqrt 1/2)) 5.467 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 5.468 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.468 * [backup-simplify]: Simplify (- 0) into 0 5.469 * [backup-simplify]: Simplify (- 0) into 0 5.469 * [backup-simplify]: Simplify (- 0) into 0 5.470 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 5.470 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.471 * [backup-simplify]: Simplify (- 0) into 0 5.471 * [backup-simplify]: Simplify (+ (* (- (sqrt 1/2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2)))))) into 0 5.472 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 5.473 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2)))))) into 0 5.474 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.474 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 1/2) 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.475 * [backup-simplify]: Simplify (+ 0 0) into 0 5.475 * [backup-simplify]: Simplify 0 into 0 5.475 * [backup-simplify]: Simplify (- (sqrt 1/2)) into (- (sqrt 1/2)) 5.476 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 5.477 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.477 * [backup-simplify]: Simplify (- 0) into 0 5.477 * [backup-simplify]: Simplify (- 0) into 0 5.478 * [backup-simplify]: Simplify (- 0) into 0 5.478 * [backup-simplify]: Simplify (- 0) into 0 5.479 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 5.481 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.481 * [backup-simplify]: Simplify (- 0) into 0 5.483 * [backup-simplify]: Simplify (+ (* (- (sqrt 1/2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2))))))) into 0 5.484 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 5.486 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2))))))) into 0 5.487 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.488 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 1/2) 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.489 * [backup-simplify]: Simplify (+ 0 0) into 0 5.489 * [backup-simplify]: Simplify 0 into 0 5.489 * [backup-simplify]: Simplify 0 into 0 5.491 * [backup-simplify]: Simplify (fma (- (/ (sqrt 1/2) (/ 1 N))) (/ (sqrt 1/2) (/ 1 N)) (* (/ (sqrt 1/2) (/ 1 N)) (/ (sqrt 1/2) (/ 1 N)))) into (fma (- (* N (sqrt 1/2))) (* N (sqrt 1/2)) (* (pow N 2) (pow (sqrt 1/2) 2))) 5.491 * [approximate]: Taking taylor expansion of (fma (- (* N (sqrt 1/2))) (* N (sqrt 1/2)) (* (pow N 2) (pow (sqrt 1/2) 2))) in (N) around 0 5.491 * [taylor]: Taking taylor expansion of (fma (- (* N (sqrt 1/2))) (* N (sqrt 1/2)) (* (pow N 2) (pow (sqrt 1/2) 2))) in N 5.491 * [taylor]: Rewrote expression to (+ (* (- (* N (sqrt 1/2))) (* N (sqrt 1/2))) (* (pow N 2) (pow (sqrt 1/2) 2))) 5.491 * [taylor]: Taking taylor expansion of (* (- (* N (sqrt 1/2))) (* N (sqrt 1/2))) in N 5.491 * [taylor]: Taking taylor expansion of (- (* N (sqrt 1/2))) in N 5.491 * [taylor]: Taking taylor expansion of (* N (sqrt 1/2)) in N 5.491 * [taylor]: Taking taylor expansion of N in N 5.491 * [backup-simplify]: Simplify 0 into 0 5.491 * [backup-simplify]: Simplify 1 into 1 5.491 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 5.491 * [taylor]: Taking taylor expansion of 1/2 in N 5.491 * [backup-simplify]: Simplify 1/2 into 1/2 5.491 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 5.492 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 5.492 * [taylor]: Taking taylor expansion of (* N (sqrt 1/2)) in N 5.492 * [taylor]: Taking taylor expansion of N in N 5.492 * [backup-simplify]: Simplify 0 into 0 5.492 * [backup-simplify]: Simplify 1 into 1 5.492 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 5.492 * [taylor]: Taking taylor expansion of 1/2 in N 5.492 * [backup-simplify]: Simplify 1/2 into 1/2 5.493 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 5.493 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 5.494 * [taylor]: Taking taylor expansion of (* (pow N 2) (pow (sqrt 1/2) 2)) in N 5.494 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.494 * [taylor]: Taking taylor expansion of N in N 5.494 * [backup-simplify]: Simplify 0 into 0 5.494 * [backup-simplify]: Simplify 1 into 1 5.494 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in N 5.494 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 5.494 * [taylor]: Taking taylor expansion of 1/2 in N 5.494 * [backup-simplify]: Simplify 1/2 into 1/2 5.494 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 5.495 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 5.495 * [taylor]: Taking taylor expansion of (fma (- (* N (sqrt 1/2))) (* N (sqrt 1/2)) (* (pow N 2) (pow (sqrt 1/2) 2))) in N 5.495 * [taylor]: Rewrote expression to (+ (* (- (* N (sqrt 1/2))) (* N (sqrt 1/2))) (* (pow N 2) (pow (sqrt 1/2) 2))) 5.495 * [taylor]: Taking taylor expansion of (* (- (* N (sqrt 1/2))) (* N (sqrt 1/2))) in N 5.495 * [taylor]: Taking taylor expansion of (- (* N (sqrt 1/2))) in N 5.495 * [taylor]: Taking taylor expansion of (* N (sqrt 1/2)) in N 5.495 * [taylor]: Taking taylor expansion of N in N 5.495 * [backup-simplify]: Simplify 0 into 0 5.495 * [backup-simplify]: Simplify 1 into 1 5.495 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 5.495 * [taylor]: Taking taylor expansion of 1/2 in N 5.495 * [backup-simplify]: Simplify 1/2 into 1/2 5.496 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 5.496 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 5.496 * [taylor]: Taking taylor expansion of (* N (sqrt 1/2)) in N 5.496 * [taylor]: Taking taylor expansion of N in N 5.496 * [backup-simplify]: Simplify 0 into 0 5.496 * [backup-simplify]: Simplify 1 into 1 5.496 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 5.496 * [taylor]: Taking taylor expansion of 1/2 in N 5.496 * [backup-simplify]: Simplify 1/2 into 1/2 5.497 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 5.498 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 5.498 * [taylor]: Taking taylor expansion of (* (pow N 2) (pow (sqrt 1/2) 2)) in N 5.498 * [taylor]: Taking taylor expansion of (pow N 2) 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 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in N 5.498 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 5.498 * [taylor]: Taking taylor expansion of 1/2 in N 5.498 * [backup-simplify]: Simplify 1/2 into 1/2 5.498 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 5.499 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 5.499 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0 5.500 * [backup-simplify]: Simplify (- 0) into 0 5.500 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0 5.501 * [backup-simplify]: Simplify (* 0 0) into 0 5.501 * [backup-simplify]: Simplify (+ 0 0) into 0 5.501 * [backup-simplify]: Simplify 0 into 0 5.501 * [backup-simplify]: Simplify (- 0) into 0 5.503 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 1/2))) into (sqrt 1/2) 5.506 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 1/2))) into (sqrt 1/2) 5.506 * [backup-simplify]: Simplify (- (sqrt 1/2)) into (- (sqrt 1/2)) 5.507 * [backup-simplify]: Simplify (+ (* 0 (sqrt 1/2)) (* (- (sqrt 1/2)) 0)) into 0 5.508 * [backup-simplify]: Simplify (+ 0 0) into 0 5.508 * [backup-simplify]: Simplify 0 into 0 5.508 * [backup-simplify]: Simplify (- 0) into 0 5.509 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 5.510 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 1/2)))) into 0 5.511 * [backup-simplify]: Simplify (- (sqrt 1/2)) into (- (sqrt 1/2)) 5.512 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 5.513 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 1/2)))) into 0 5.514 * [backup-simplify]: Simplify (- 0) into 0 5.518 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- (sqrt 1/2)) (sqrt 1/2)) (* 0 0))) into (- (pow (sqrt 1/2) 2)) 5.519 * [backup-simplify]: Simplify (* 1 1) into 1 5.520 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 5.521 * [backup-simplify]: Simplify (* 1 (pow (sqrt 1/2) 2)) into (pow (sqrt 1/2) 2) 5.524 * [backup-simplify]: Simplify (+ (- (pow (sqrt 1/2) 2)) (pow (sqrt 1/2) 2)) into 0 5.524 * [backup-simplify]: Simplify 0 into 0 5.525 * [backup-simplify]: Simplify (- 0) into 0 5.526 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 5.528 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 1/2))))) into 0 5.529 * [backup-simplify]: Simplify (- (sqrt 1/2)) into (- (sqrt 1/2)) 5.529 * [backup-simplify]: Simplify (- 0) into 0 5.530 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 5.535 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 1/2))))) into 0 5.536 * [backup-simplify]: Simplify (- 0) into 0 5.537 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- (sqrt 1/2)) 0) (+ (* 0 (sqrt 1/2)) (* 0 0)))) into 0 5.537 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 5.538 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.538 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (sqrt 1/2) 2))) into 0 5.539 * [backup-simplify]: Simplify (+ 0 0) into 0 5.539 * [backup-simplify]: Simplify 0 into 0 5.539 * [backup-simplify]: Simplify (- 0) into 0 5.540 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 5.540 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2)))))) into 0 5.541 * [backup-simplify]: Simplify (- (sqrt 1/2)) into (- (sqrt 1/2)) 5.541 * [backup-simplify]: Simplify (- 0) into 0 5.541 * [backup-simplify]: Simplify (- 0) into 0 5.542 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 5.543 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2)))))) into 0 5.543 * [backup-simplify]: Simplify (- 0) into 0 5.544 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- (sqrt 1/2)) 0) (+ (* 0 0) (+ (* 0 (sqrt 1/2)) (* 0 0))))) into 0 5.545 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 5.545 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (* 0 (sqrt 1/2)))) into 0 5.546 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.546 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (sqrt 1/2) 2)))) into 0 5.547 * [backup-simplify]: Simplify (+ 0 0) into 0 5.547 * [backup-simplify]: Simplify 0 into 0 5.547 * [backup-simplify]: Simplify (- 0) into 0 5.548 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 5.549 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2))))))) into 0 5.549 * [backup-simplify]: Simplify (- (sqrt 1/2)) into (- (sqrt 1/2)) 5.549 * [backup-simplify]: Simplify (- 0) into 0 5.550 * [backup-simplify]: Simplify (- 0) into 0 5.550 * [backup-simplify]: Simplify (- 0) into 0 5.551 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 5.551 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2))))))) into 0 5.552 * [backup-simplify]: Simplify (- 0) into 0 5.553 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- (sqrt 1/2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sqrt 1/2)) (* 0 0)))))) into 0 5.553 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 5.554 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2))))) into 0 5.555 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.555 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 1/2) 2))))) into 0 5.556 * [backup-simplify]: Simplify (+ 0 0) into 0 5.556 * [backup-simplify]: Simplify 0 into 0 5.556 * [backup-simplify]: Simplify 0 into 0 5.557 * [backup-simplify]: Simplify (fma (- (/ (sqrt 1/2) (/ 1 (- N)))) (/ (sqrt 1/2) (/ 1 (- N))) (* (/ (sqrt 1/2) (/ 1 (- N))) (/ (sqrt 1/2) (/ 1 (- N))))) into (fma (* N (sqrt 1/2)) (* -1 (* N (sqrt 1/2))) (* (pow N 2) (pow (sqrt 1/2) 2))) 5.557 * [approximate]: Taking taylor expansion of (fma (* N (sqrt 1/2)) (* -1 (* N (sqrt 1/2))) (* (pow N 2) (pow (sqrt 1/2) 2))) in (N) around 0 5.557 * [taylor]: Taking taylor expansion of (fma (* N (sqrt 1/2)) (* -1 (* N (sqrt 1/2))) (* (pow N 2) (pow (sqrt 1/2) 2))) in N 5.557 * [taylor]: Rewrote expression to (+ (* (* N (sqrt 1/2)) (* -1 (* N (sqrt 1/2)))) (* (pow N 2) (pow (sqrt 1/2) 2))) 5.557 * [taylor]: Taking taylor expansion of (* (* N (sqrt 1/2)) (* -1 (* N (sqrt 1/2)))) in N 5.557 * [taylor]: Taking taylor expansion of (* N (sqrt 1/2)) 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 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 5.557 * [taylor]: Taking taylor expansion of 1/2 in N 5.557 * [backup-simplify]: Simplify 1/2 into 1/2 5.557 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 5.558 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 5.558 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt 1/2))) in N 5.558 * [taylor]: Taking taylor expansion of -1 in N 5.558 * [backup-simplify]: Simplify -1 into -1 5.558 * [taylor]: Taking taylor expansion of (* N (sqrt 1/2)) in N 5.558 * [taylor]: Taking taylor expansion of N in N 5.558 * [backup-simplify]: Simplify 0 into 0 5.558 * [backup-simplify]: Simplify 1 into 1 5.558 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 5.558 * [taylor]: Taking taylor expansion of 1/2 in N 5.558 * [backup-simplify]: Simplify 1/2 into 1/2 5.558 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 5.559 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 5.559 * [taylor]: Taking taylor expansion of (* (pow N 2) (pow (sqrt 1/2) 2)) in N 5.559 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.559 * [taylor]: Taking taylor expansion of N in N 5.559 * [backup-simplify]: Simplify 0 into 0 5.559 * [backup-simplify]: Simplify 1 into 1 5.559 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in N 5.559 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 5.559 * [taylor]: Taking taylor expansion of 1/2 in N 5.559 * [backup-simplify]: Simplify 1/2 into 1/2 5.559 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 5.559 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 5.559 * [taylor]: Taking taylor expansion of (fma (* N (sqrt 1/2)) (* -1 (* N (sqrt 1/2))) (* (pow N 2) (pow (sqrt 1/2) 2))) in N 5.560 * [taylor]: Rewrote expression to (+ (* (* N (sqrt 1/2)) (* -1 (* N (sqrt 1/2)))) (* (pow N 2) (pow (sqrt 1/2) 2))) 5.560 * [taylor]: Taking taylor expansion of (* (* N (sqrt 1/2)) (* -1 (* N (sqrt 1/2)))) in N 5.560 * [taylor]: Taking taylor expansion of (* N (sqrt 1/2)) in N 5.560 * [taylor]: Taking taylor expansion of N in N 5.560 * [backup-simplify]: Simplify 0 into 0 5.560 * [backup-simplify]: Simplify 1 into 1 5.560 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 5.560 * [taylor]: Taking taylor expansion of 1/2 in N 5.560 * [backup-simplify]: Simplify 1/2 into 1/2 5.560 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 5.560 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 5.560 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt 1/2))) in N 5.560 * [taylor]: Taking taylor expansion of -1 in N 5.560 * [backup-simplify]: Simplify -1 into -1 5.561 * [taylor]: Taking taylor expansion of (* N (sqrt 1/2)) in N 5.561 * [taylor]: Taking taylor expansion of N in N 5.561 * [backup-simplify]: Simplify 0 into 0 5.561 * [backup-simplify]: Simplify 1 into 1 5.561 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 5.561 * [taylor]: Taking taylor expansion of 1/2 in N 5.561 * [backup-simplify]: Simplify 1/2 into 1/2 5.561 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 5.561 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 5.561 * [taylor]: Taking taylor expansion of (* (pow N 2) (pow (sqrt 1/2) 2)) in N 5.561 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.561 * [taylor]: Taking taylor expansion of N in N 5.561 * [backup-simplify]: Simplify 0 into 0 5.561 * [backup-simplify]: Simplify 1 into 1 5.561 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in N 5.561 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 5.561 * [taylor]: Taking taylor expansion of 1/2 in N 5.562 * [backup-simplify]: Simplify 1/2 into 1/2 5.562 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 5.562 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 5.563 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0 5.563 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0 5.563 * [backup-simplify]: Simplify (* -1 0) into 0 5.563 * [backup-simplify]: Simplify (* 0 0) into 0 5.564 * [backup-simplify]: Simplify (+ 0 0) into 0 5.564 * [backup-simplify]: Simplify 0 into 0 5.565 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 1/2))) into (sqrt 1/2) 5.566 * [backup-simplify]: Simplify (+ (* -1 (sqrt 1/2)) (* 0 0)) into (- (sqrt 1/2)) 5.567 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 1/2))) into (sqrt 1/2) 5.568 * [backup-simplify]: Simplify (+ (* 0 (- (sqrt 1/2))) (* (sqrt 1/2) 0)) into 0 5.568 * [backup-simplify]: Simplify (+ 0 0) into 0 5.568 * [backup-simplify]: Simplify 0 into 0 5.569 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 5.569 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 1/2)))) into 0 5.570 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (sqrt 1/2)) (* 0 0))) into 0 5.571 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 5.571 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 1/2)))) into 0 5.574 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (sqrt 1/2) (- (sqrt 1/2))) (* 0 0))) into (- (pow (sqrt 1/2) 2)) 5.574 * [backup-simplify]: Simplify (* 1 1) into 1 5.575 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 5.576 * [backup-simplify]: Simplify (* 1 (pow (sqrt 1/2) 2)) into (pow (sqrt 1/2) 2) 5.578 * [backup-simplify]: Simplify (+ (- (pow (sqrt 1/2) 2)) (pow (sqrt 1/2) 2)) into 0 5.578 * [backup-simplify]: Simplify 0 into 0 5.579 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 5.579 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 1/2))))) into 0 5.580 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (sqrt 1/2)) (* 0 0)))) into 0 5.581 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 5.581 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 1/2))))) into 0 5.582 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (sqrt 1/2) 0) (+ (* 0 (- (sqrt 1/2))) (* 0 0)))) into 0 5.583 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 5.583 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.584 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (sqrt 1/2) 2))) into 0 5.584 * [backup-simplify]: Simplify (+ 0 0) into 0 5.584 * [backup-simplify]: Simplify 0 into 0 5.585 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 5.585 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2)))))) into 0 5.586 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sqrt 1/2)) (* 0 0))))) into 0 5.587 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 5.588 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2)))))) into 0 5.589 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* 0 (- (sqrt 1/2))) (* 0 0))))) into 0 5.590 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 5.590 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (* 0 (sqrt 1/2)))) into 0 5.591 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.592 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (sqrt 1/2) 2)))) into 0 5.592 * [backup-simplify]: Simplify (+ 0 0) into 0 5.592 * [backup-simplify]: Simplify 0 into 0 5.593 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 5.594 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2))))))) into 0 5.595 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sqrt 1/2)) (* 0 0)))))) into 0 5.595 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 5.596 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2))))))) into 0 5.597 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (sqrt 1/2))) (* 0 0)))))) into 0 5.598 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 5.598 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2))))) into 0 5.599 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.600 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 1/2) 2))))) into 0 5.600 * [backup-simplify]: Simplify (+ 0 0) into 0 5.600 * [backup-simplify]: Simplify 0 into 0 5.600 * [backup-simplify]: Simplify 0 into 0 5.600 * * * * [progress]: [ 2 / 4 ] generating series at (2) 5.602 * [backup-simplify]: Simplify (fma (/ 1/3 (* N N)) (/ 1 N) (+ (- (* (/ 1 (sqrt N)) (/ 1 (sqrt N))) (* (/ (sqrt 1/2) N) (/ (sqrt 1/2) N))) (fma (- (/ (sqrt 1/2) N)) (/ (sqrt 1/2) N) (* (/ (sqrt 1/2) N) (/ (sqrt 1/2) N))))) into (fma (/ 1/3 (pow N 2)) (/ 1 N) (- (+ (/ 1 N) (fma (- (/ (sqrt 1/2) N)) (/ (sqrt 1/2) N) (/ (pow (sqrt 1/2) 2) (pow N 2)))) (/ (pow (sqrt 1/2) 2) (pow N 2)))) 5.602 * [approximate]: Taking taylor expansion of (fma (/ 1/3 (pow N 2)) (/ 1 N) (- (+ (/ 1 N) (fma (- (/ (sqrt 1/2) N)) (/ (sqrt 1/2) N) (/ (pow (sqrt 1/2) 2) (pow N 2)))) (/ (pow (sqrt 1/2) 2) (pow N 2)))) in (N) around 0 5.602 * [taylor]: Taking taylor expansion of (fma (/ 1/3 (pow N 2)) (/ 1 N) (- (+ (/ 1 N) (fma (- (/ (sqrt 1/2) N)) (/ (sqrt 1/2) N) (/ (pow (sqrt 1/2) 2) (pow N 2)))) (/ (pow (sqrt 1/2) 2) (pow N 2)))) in N 5.602 * [taylor]: Rewrote expression to (+ (* (/ 1/3 (pow N 2)) (/ 1 N)) (- (+ (/ 1 N) (fma (- (/ (sqrt 1/2) N)) (/ (sqrt 1/2) N) (/ (pow (sqrt 1/2) 2) (pow N 2)))) (/ (pow (sqrt 1/2) 2) (pow N 2)))) 5.602 * [taylor]: Taking taylor expansion of (* (/ 1/3 (pow N 2)) (/ 1 N)) in N 5.602 * [taylor]: Taking taylor expansion of (/ 1/3 (pow N 2)) in N 5.602 * [taylor]: Taking taylor expansion of 1/3 in N 5.602 * [backup-simplify]: Simplify 1/3 into 1/3 5.602 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.602 * [taylor]: Taking taylor expansion of N in N 5.602 * [backup-simplify]: Simplify 0 into 0 5.602 * [backup-simplify]: Simplify 1 into 1 5.603 * [backup-simplify]: Simplify (* 1 1) into 1 5.603 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3 5.603 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.603 * [taylor]: Taking taylor expansion of N in N 5.603 * [backup-simplify]: Simplify 0 into 0 5.603 * [backup-simplify]: Simplify 1 into 1 5.603 * [backup-simplify]: Simplify (/ 1 1) into 1 5.603 * [taylor]: Taking taylor expansion of (- (+ (/ 1 N) (fma (- (/ (sqrt 1/2) N)) (/ (sqrt 1/2) N) (/ (pow (sqrt 1/2) 2) (pow N 2)))) (/ (pow (sqrt 1/2) 2) (pow N 2))) in N 5.603 * [taylor]: Taking taylor expansion of (+ (/ 1 N) (fma (- (/ (sqrt 1/2) N)) (/ (sqrt 1/2) N) (/ (pow (sqrt 1/2) 2) (pow N 2)))) in N 5.603 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.603 * [taylor]: Taking taylor expansion of N in N 5.603 * [backup-simplify]: Simplify 0 into 0 5.603 * [backup-simplify]: Simplify 1 into 1 5.603 * [backup-simplify]: Simplify (/ 1 1) into 1 5.603 * [taylor]: Taking taylor expansion of (fma (- (/ (sqrt 1/2) N)) (/ (sqrt 1/2) N) (/ (pow (sqrt 1/2) 2) (pow N 2))) in N 5.604 * [taylor]: Rewrote expression to (+ (* (- (/ (sqrt 1/2) N)) (/ (sqrt 1/2) N)) (/ (pow (sqrt 1/2) 2) (pow N 2))) 5.604 * [taylor]: Taking taylor expansion of (* (- (/ (sqrt 1/2) N)) (/ (sqrt 1/2) N)) in N 5.604 * [taylor]: Taking taylor expansion of (- (/ (sqrt 1/2) N)) in N 5.604 * [taylor]: Taking taylor expansion of (/ (sqrt 1/2) N) in N 5.604 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 5.604 * [taylor]: Taking taylor expansion of 1/2 in N 5.604 * [backup-simplify]: Simplify 1/2 into 1/2 5.604 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 5.604 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 5.604 * [taylor]: Taking taylor expansion of N in N 5.604 * [backup-simplify]: Simplify 0 into 0 5.604 * [backup-simplify]: Simplify 1 into 1 5.605 * [backup-simplify]: Simplify (/ (sqrt 1/2) 1) into (sqrt 1/2) 5.605 * [taylor]: Taking taylor expansion of (/ (sqrt 1/2) N) in N 5.605 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 5.605 * [taylor]: Taking taylor expansion of 1/2 in N 5.605 * [backup-simplify]: Simplify 1/2 into 1/2 5.605 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 5.606 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 5.606 * [taylor]: Taking taylor expansion of N in N 5.606 * [backup-simplify]: Simplify 0 into 0 5.606 * [backup-simplify]: Simplify 1 into 1 5.606 * [backup-simplify]: Simplify (/ (sqrt 1/2) 1) into (sqrt 1/2) 5.606 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1/2) 2) (pow N 2)) in N 5.606 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in N 5.606 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 5.606 * [taylor]: Taking taylor expansion of 1/2 in N 5.606 * [backup-simplify]: Simplify 1/2 into 1/2 5.607 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 5.607 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 5.607 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.607 * [taylor]: Taking taylor expansion of N in N 5.607 * [backup-simplify]: Simplify 0 into 0 5.607 * [backup-simplify]: Simplify 1 into 1 5.608 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 5.608 * [backup-simplify]: Simplify (* 1 1) into 1 5.609 * [backup-simplify]: Simplify (/ (pow (sqrt 1/2) 2) 1) into (pow (sqrt 1/2) 2) 5.609 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1/2) 2) (pow N 2)) in N 5.609 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in N 5.609 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 5.609 * [taylor]: Taking taylor expansion of 1/2 in N 5.609 * [backup-simplify]: Simplify 1/2 into 1/2 5.609 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 5.610 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 5.610 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.610 * [taylor]: Taking taylor expansion of N in N 5.610 * [backup-simplify]: Simplify 0 into 0 5.610 * [backup-simplify]: Simplify 1 into 1 5.610 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 5.611 * [backup-simplify]: Simplify (* 1 1) into 1 5.612 * [backup-simplify]: Simplify (/ (pow (sqrt 1/2) 2) 1) into (pow (sqrt 1/2) 2) 5.612 * [taylor]: Taking taylor expansion of (fma (/ 1/3 (pow N 2)) (/ 1 N) (- (+ (/ 1 N) (fma (- (/ (sqrt 1/2) N)) (/ (sqrt 1/2) N) (/ (pow (sqrt 1/2) 2) (pow N 2)))) (/ (pow (sqrt 1/2) 2) (pow N 2)))) in N 5.612 * [taylor]: Rewrote expression to (+ (* (/ 1/3 (pow N 2)) (/ 1 N)) (- (+ (/ 1 N) (fma (- (/ (sqrt 1/2) N)) (/ (sqrt 1/2) N) (/ (pow (sqrt 1/2) 2) (pow N 2)))) (/ (pow (sqrt 1/2) 2) (pow N 2)))) 5.612 * [taylor]: Taking taylor expansion of (* (/ 1/3 (pow N 2)) (/ 1 N)) in N 5.612 * [taylor]: Taking taylor expansion of (/ 1/3 (pow N 2)) in N 5.612 * [taylor]: Taking taylor expansion of 1/3 in N 5.612 * [backup-simplify]: Simplify 1/3 into 1/3 5.612 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.612 * [taylor]: Taking taylor expansion of N in N 5.612 * [backup-simplify]: Simplify 0 into 0 5.612 * [backup-simplify]: Simplify 1 into 1 5.612 * [backup-simplify]: Simplify (* 1 1) into 1 5.612 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3 5.612 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.612 * [taylor]: Taking taylor expansion of N in N 5.612 * [backup-simplify]: Simplify 0 into 0 5.613 * [backup-simplify]: Simplify 1 into 1 5.613 * [backup-simplify]: Simplify (/ 1 1) into 1 5.613 * [taylor]: Taking taylor expansion of (- (+ (/ 1 N) (fma (- (/ (sqrt 1/2) N)) (/ (sqrt 1/2) N) (/ (pow (sqrt 1/2) 2) (pow N 2)))) (/ (pow (sqrt 1/2) 2) (pow N 2))) in N 5.613 * [taylor]: Taking taylor expansion of (+ (/ 1 N) (fma (- (/ (sqrt 1/2) N)) (/ (sqrt 1/2) N) (/ (pow (sqrt 1/2) 2) (pow N 2)))) in N 5.613 * [taylor]: Taking taylor expansion of (/ 1 N) in N 5.613 * [taylor]: Taking taylor expansion of N in N 5.613 * [backup-simplify]: Simplify 0 into 0 5.613 * [backup-simplify]: Simplify 1 into 1 5.613 * [backup-simplify]: Simplify (/ 1 1) into 1 5.613 * [taylor]: Taking taylor expansion of (fma (- (/ (sqrt 1/2) N)) (/ (sqrt 1/2) N) (/ (pow (sqrt 1/2) 2) (pow N 2))) in N 5.613 * [taylor]: Rewrote expression to (+ (* (- (/ (sqrt 1/2) N)) (/ (sqrt 1/2) N)) (/ (pow (sqrt 1/2) 2) (pow N 2))) 5.613 * [taylor]: Taking taylor expansion of (* (- (/ (sqrt 1/2) N)) (/ (sqrt 1/2) N)) in N 5.613 * [taylor]: Taking taylor expansion of (- (/ (sqrt 1/2) N)) in N 5.613 * [taylor]: Taking taylor expansion of (/ (sqrt 1/2) N) in N 5.613 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 5.613 * [taylor]: Taking taylor expansion of 1/2 in N 5.613 * [backup-simplify]: Simplify 1/2 into 1/2 5.613 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 5.614 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 5.614 * [taylor]: Taking taylor expansion of N in N 5.614 * [backup-simplify]: Simplify 0 into 0 5.614 * [backup-simplify]: Simplify 1 into 1 5.614 * [backup-simplify]: Simplify (/ (sqrt 1/2) 1) into (sqrt 1/2) 5.615 * [taylor]: Taking taylor expansion of (/ (sqrt 1/2) N) in N 5.615 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 5.615 * [taylor]: Taking taylor expansion of 1/2 in N 5.615 * [backup-simplify]: Simplify 1/2 into 1/2 5.615 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 5.615 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 5.615 * [taylor]: Taking taylor expansion of N in N 5.615 * [backup-simplify]: Simplify 0 into 0 5.615 * [backup-simplify]: Simplify 1 into 1 5.616 * [backup-simplify]: Simplify (/ (sqrt 1/2) 1) into (sqrt 1/2) 5.616 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1/2) 2) (pow N 2)) in N 5.616 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in N 5.616 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 5.616 * [taylor]: Taking taylor expansion of 1/2 in N 5.616 * [backup-simplify]: Simplify 1/2 into 1/2 5.616 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 5.617 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 5.617 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.617 * [taylor]: Taking taylor expansion of N in N 5.617 * [backup-simplify]: Simplify 0 into 0 5.617 * [backup-simplify]: Simplify 1 into 1 5.618 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 5.618 * [backup-simplify]: Simplify (* 1 1) into 1 5.622 * [backup-simplify]: Simplify (/ (pow (sqrt 1/2) 2) 1) into (pow (sqrt 1/2) 2) 5.622 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1/2) 2) (pow N 2)) in N 5.622 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in N 5.622 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 5.622 * [taylor]: Taking taylor expansion of 1/2 in N 5.622 * [backup-simplify]: Simplify 1/2 into 1/2 5.623 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 5.624 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 5.624 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.624 * [taylor]: Taking taylor expansion of N in N 5.624 * [backup-simplify]: Simplify 0 into 0 5.624 * [backup-simplify]: Simplify 1 into 1 5.625 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 5.625 * [backup-simplify]: Simplify (* 1 1) into 1 5.627 * [backup-simplify]: Simplify (/ (pow (sqrt 1/2) 2) 1) into (pow (sqrt 1/2) 2) 5.628 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 5.628 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 5.628 * [backup-simplify]: Simplify 1/3 into 1/3 5.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.630 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.630 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 5.631 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 5.632 * [backup-simplify]: Simplify (- (sqrt 1/2)) into (- (sqrt 1/2)) 5.634 * [backup-simplify]: Simplify (* (- (sqrt 1/2)) (sqrt 1/2)) into (* -1 (pow (sqrt 1/2) 2)) 5.637 * [backup-simplify]: Simplify (+ (* -1 (pow (sqrt 1/2) 2)) (pow (sqrt 1/2) 2)) into 0 5.637 * [backup-simplify]: Simplify (+ 0 0) into 0 5.639 * [backup-simplify]: Simplify (- (pow (sqrt 1/2) 2)) into (- (pow (sqrt 1/2) 2)) 5.641 * [backup-simplify]: Simplify (+ 0 (- (pow (sqrt 1/2) 2))) into (- (pow (sqrt 1/2) 2)) 5.644 * [backup-simplify]: Simplify (+ 0 (- (pow (sqrt 1/2) 2))) into (- (pow (sqrt 1/2) 2)) 5.645 * [backup-simplify]: Simplify (- (pow (sqrt 1/2) 2)) into (- (pow (sqrt 1/2) 2)) 5.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.647 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.648 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.649 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 5.650 * [backup-simplify]: Simplify (- (sqrt 1/2)) into (- (sqrt 1/2)) 5.651 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)))) into 0 5.652 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)))) into 0 5.652 * [backup-simplify]: Simplify (- 0) into 0 5.653 * [backup-simplify]: Simplify (+ (* (- (sqrt 1/2)) 0) (* 0 (sqrt 1/2))) into 0 5.654 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 5.655 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.656 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 1/2) 2) (/ 0 1)))) into 0 5.656 * [backup-simplify]: Simplify (+ 0 0) into 0 5.657 * [backup-simplify]: Simplify (+ 1 0) into 1 5.657 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 5.658 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.659 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 1/2) 2) (/ 0 1)))) into 0 5.660 * [backup-simplify]: Simplify (- 0) into 0 5.660 * [backup-simplify]: Simplify (+ 1 0) into 1 5.660 * [backup-simplify]: Simplify (+ 0 1) into 1 5.660 * [backup-simplify]: Simplify 1 into 1 5.662 * [backup-simplify]: Simplify (+ (* 1 (/ 1 N)) (+ (* (- (pow (sqrt 1/2) 2)) (pow (/ 1 N) 2)) (* 1/3 (pow (/ 1 N) 3)))) into (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (/ (pow (sqrt 1/2) 2) (pow N 2))) 5.666 * [backup-simplify]: Simplify (fma (/ 1/3 (* (/ 1 N) (/ 1 N))) (/ 1 (/ 1 N)) (+ (- (* (/ 1 (sqrt (/ 1 N))) (/ 1 (sqrt (/ 1 N)))) (* (/ (sqrt 1/2) (/ 1 N)) (/ (sqrt 1/2) (/ 1 N)))) (fma (- (/ (sqrt 1/2) (/ 1 N))) (/ (sqrt 1/2) (/ 1 N)) (* (/ (sqrt 1/2) (/ 1 N)) (/ (sqrt 1/2) (/ 1 N)))))) into (fma (* 1/3 (pow N 2)) N (- (+ N (fma (- (* N (sqrt 1/2))) (* N (sqrt 1/2)) (* (pow N 2) (pow (sqrt 1/2) 2)))) (* (pow N 2) (pow (sqrt 1/2) 2)))) 5.666 * [approximate]: Taking taylor expansion of (fma (* 1/3 (pow N 2)) N (- (+ N (fma (- (* N (sqrt 1/2))) (* N (sqrt 1/2)) (* (pow N 2) (pow (sqrt 1/2) 2)))) (* (pow N 2) (pow (sqrt 1/2) 2)))) in (N) around 0 5.666 * [taylor]: Taking taylor expansion of (fma (* 1/3 (pow N 2)) N (- (+ N (fma (- (* N (sqrt 1/2))) (* N (sqrt 1/2)) (* (pow N 2) (pow (sqrt 1/2) 2)))) (* (pow N 2) (pow (sqrt 1/2) 2)))) in N 5.666 * [taylor]: Rewrote expression to (+ (* (* 1/3 (pow N 2)) N) (- (+ N (fma (- (* N (sqrt 1/2))) (* N (sqrt 1/2)) (* (pow N 2) (pow (sqrt 1/2) 2)))) (* (pow N 2) (pow (sqrt 1/2) 2)))) 5.666 * [taylor]: Taking taylor expansion of (* (* 1/3 (pow N 2)) N) in N 5.666 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 2)) in N 5.666 * [taylor]: Taking taylor expansion of 1/3 in N 5.666 * [backup-simplify]: Simplify 1/3 into 1/3 5.666 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.666 * [taylor]: Taking taylor expansion of N in N 5.666 * [backup-simplify]: Simplify 0 into 0 5.666 * [backup-simplify]: Simplify 1 into 1 5.666 * [taylor]: Taking taylor expansion of N in N 5.666 * [backup-simplify]: Simplify 0 into 0 5.666 * [backup-simplify]: Simplify 1 into 1 5.666 * [taylor]: Taking taylor expansion of (- (+ N (fma (- (* N (sqrt 1/2))) (* N (sqrt 1/2)) (* (pow N 2) (pow (sqrt 1/2) 2)))) (* (pow N 2) (pow (sqrt 1/2) 2))) in N 5.666 * [taylor]: Taking taylor expansion of (+ N (fma (- (* N (sqrt 1/2))) (* N (sqrt 1/2)) (* (pow N 2) (pow (sqrt 1/2) 2)))) in N 5.666 * [taylor]: Taking taylor expansion of N in N 5.666 * [backup-simplify]: Simplify 0 into 0 5.666 * [backup-simplify]: Simplify 1 into 1 5.666 * [taylor]: Taking taylor expansion of (fma (- (* N (sqrt 1/2))) (* N (sqrt 1/2)) (* (pow N 2) (pow (sqrt 1/2) 2))) in N 5.666 * [taylor]: Rewrote expression to (+ (* (- (* N (sqrt 1/2))) (* N (sqrt 1/2))) (* (pow N 2) (pow (sqrt 1/2) 2))) 5.666 * [taylor]: Taking taylor expansion of (* (- (* N (sqrt 1/2))) (* N (sqrt 1/2))) in N 5.666 * [taylor]: Taking taylor expansion of (- (* N (sqrt 1/2))) in N 5.666 * [taylor]: Taking taylor expansion of (* N (sqrt 1/2)) in N 5.666 * [taylor]: Taking taylor expansion of N in N 5.666 * [backup-simplify]: Simplify 0 into 0 5.666 * [backup-simplify]: Simplify 1 into 1 5.667 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 5.667 * [taylor]: Taking taylor expansion of 1/2 in N 5.667 * [backup-simplify]: Simplify 1/2 into 1/2 5.667 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 5.668 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 5.668 * [taylor]: Taking taylor expansion of (* N (sqrt 1/2)) in N 5.668 * [taylor]: Taking taylor expansion of N in N 5.668 * [backup-simplify]: Simplify 0 into 0 5.668 * [backup-simplify]: Simplify 1 into 1 5.668 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 5.668 * [taylor]: Taking taylor expansion of 1/2 in N 5.668 * [backup-simplify]: Simplify 1/2 into 1/2 5.668 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 5.669 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 5.669 * [taylor]: Taking taylor expansion of (* (pow N 2) (pow (sqrt 1/2) 2)) in N 5.669 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.669 * [taylor]: Taking taylor expansion of N in N 5.669 * [backup-simplify]: Simplify 0 into 0 5.669 * [backup-simplify]: Simplify 1 into 1 5.669 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in N 5.669 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 5.669 * [taylor]: Taking taylor expansion of 1/2 in N 5.669 * [backup-simplify]: Simplify 1/2 into 1/2 5.670 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 5.671 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 5.671 * [taylor]: Taking taylor expansion of (* (pow N 2) (pow (sqrt 1/2) 2)) in N 5.671 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.671 * [taylor]: Taking taylor expansion of N in N 5.671 * [backup-simplify]: Simplify 0 into 0 5.671 * [backup-simplify]: Simplify 1 into 1 5.671 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in N 5.671 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 5.671 * [taylor]: Taking taylor expansion of 1/2 in N 5.671 * [backup-simplify]: Simplify 1/2 into 1/2 5.671 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 5.672 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 5.672 * [taylor]: Taking taylor expansion of (fma (* 1/3 (pow N 2)) N (- (+ N (fma (- (* N (sqrt 1/2))) (* N (sqrt 1/2)) (* (pow N 2) (pow (sqrt 1/2) 2)))) (* (pow N 2) (pow (sqrt 1/2) 2)))) in N 5.672 * [taylor]: Rewrote expression to (+ (* (* 1/3 (pow N 2)) N) (- (+ N (fma (- (* N (sqrt 1/2))) (* N (sqrt 1/2)) (* (pow N 2) (pow (sqrt 1/2) 2)))) (* (pow N 2) (pow (sqrt 1/2) 2)))) 5.672 * [taylor]: Taking taylor expansion of (* (* 1/3 (pow N 2)) N) in N 5.672 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 2)) in N 5.672 * [taylor]: Taking taylor expansion of 1/3 in N 5.672 * [backup-simplify]: Simplify 1/3 into 1/3 5.672 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.672 * [taylor]: Taking taylor expansion of N in N 5.672 * [backup-simplify]: Simplify 0 into 0 5.672 * [backup-simplify]: Simplify 1 into 1 5.673 * [taylor]: Taking taylor expansion of N in N 5.673 * [backup-simplify]: Simplify 0 into 0 5.673 * [backup-simplify]: Simplify 1 into 1 5.673 * [taylor]: Taking taylor expansion of (- (+ N (fma (- (* N (sqrt 1/2))) (* N (sqrt 1/2)) (* (pow N 2) (pow (sqrt 1/2) 2)))) (* (pow N 2) (pow (sqrt 1/2) 2))) in N 5.673 * [taylor]: Taking taylor expansion of (+ N (fma (- (* N (sqrt 1/2))) (* N (sqrt 1/2)) (* (pow N 2) (pow (sqrt 1/2) 2)))) in N 5.673 * [taylor]: Taking taylor expansion of N in N 5.673 * [backup-simplify]: Simplify 0 into 0 5.673 * [backup-simplify]: Simplify 1 into 1 5.673 * [taylor]: Taking taylor expansion of (fma (- (* N (sqrt 1/2))) (* N (sqrt 1/2)) (* (pow N 2) (pow (sqrt 1/2) 2))) in N 5.673 * [taylor]: Rewrote expression to (+ (* (- (* N (sqrt 1/2))) (* N (sqrt 1/2))) (* (pow N 2) (pow (sqrt 1/2) 2))) 5.673 * [taylor]: Taking taylor expansion of (* (- (* N (sqrt 1/2))) (* N (sqrt 1/2))) in N 5.673 * [taylor]: Taking taylor expansion of (- (* N (sqrt 1/2))) in N 5.673 * [taylor]: Taking taylor expansion of (* N (sqrt 1/2)) in N 5.673 * [taylor]: Taking taylor expansion of N in N 5.673 * [backup-simplify]: Simplify 0 into 0 5.673 * [backup-simplify]: Simplify 1 into 1 5.673 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 5.673 * [taylor]: Taking taylor expansion of 1/2 in N 5.673 * [backup-simplify]: Simplify 1/2 into 1/2 5.673 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 5.674 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 5.674 * [taylor]: Taking taylor expansion of (* N (sqrt 1/2)) in N 5.674 * [taylor]: Taking taylor expansion of N in N 5.674 * [backup-simplify]: Simplify 0 into 0 5.674 * [backup-simplify]: Simplify 1 into 1 5.674 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 5.674 * [taylor]: Taking taylor expansion of 1/2 in N 5.674 * [backup-simplify]: Simplify 1/2 into 1/2 5.675 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 5.675 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 5.675 * [taylor]: Taking taylor expansion of (* (pow N 2) (pow (sqrt 1/2) 2)) in N 5.676 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.676 * [taylor]: Taking taylor expansion of N in N 5.676 * [backup-simplify]: Simplify 0 into 0 5.676 * [backup-simplify]: Simplify 1 into 1 5.676 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in N 5.676 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 5.676 * [taylor]: Taking taylor expansion of 1/2 in N 5.676 * [backup-simplify]: Simplify 1/2 into 1/2 5.676 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 5.677 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 5.677 * [taylor]: Taking taylor expansion of (* (pow N 2) (pow (sqrt 1/2) 2)) in N 5.677 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.677 * [taylor]: Taking taylor expansion of N in N 5.677 * [backup-simplify]: Simplify 0 into 0 5.677 * [backup-simplify]: Simplify 1 into 1 5.677 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in N 5.677 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 5.677 * [taylor]: Taking taylor expansion of 1/2 in N 5.677 * [backup-simplify]: Simplify 1/2 into 1/2 5.678 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 5.678 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 5.679 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0 5.679 * [backup-simplify]: Simplify (- 0) into 0 5.680 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0 5.680 * [backup-simplify]: Simplify (* 0 0) into 0 5.680 * [backup-simplify]: Simplify (+ 0 0) into 0 5.681 * [backup-simplify]: Simplify (+ 0 0) into 0 5.681 * [backup-simplify]: Simplify (+ 0 0) into 0 5.682 * [backup-simplify]: Simplify (+ 0 0) into 0 5.682 * [backup-simplify]: Simplify 0 into 0 5.682 * [backup-simplify]: Simplify (- 0) into 0 5.684 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 1/2))) into (sqrt 1/2) 5.686 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 1/2))) into (sqrt 1/2) 5.687 * [backup-simplify]: Simplify (- (sqrt 1/2)) into (- (sqrt 1/2)) 5.688 * [backup-simplify]: Simplify (+ (* 0 (sqrt 1/2)) (* (- (sqrt 1/2)) 0)) into 0 5.688 * [backup-simplify]: Simplify (+ 0 0) into 0 5.689 * [backup-simplify]: Simplify (+ 1 0) into 1 5.689 * [backup-simplify]: Simplify (+ 1 0) into 1 5.690 * [backup-simplify]: Simplify (+ 0 1) into 1 5.690 * [backup-simplify]: Simplify 1 into 1 5.690 * [backup-simplify]: Simplify (* 1 1) into 1 5.690 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 5.691 * [backup-simplify]: Simplify (* 1/3 0) into 0 5.691 * [backup-simplify]: Simplify (- 0) into 0 5.692 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 5.693 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 1/2)))) into 0 5.694 * [backup-simplify]: Simplify (- (sqrt 1/2)) into (- (sqrt 1/2)) 5.695 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 5.696 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 1/2)))) into 0 5.697 * [backup-simplify]: Simplify (- 0) into 0 5.701 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- (sqrt 1/2)) (sqrt 1/2)) (* 0 0))) into (- (pow (sqrt 1/2) 2)) 5.702 * [backup-simplify]: Simplify (* 1 1) into 1 5.703 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 5.705 * [backup-simplify]: Simplify (* 1 (pow (sqrt 1/2) 2)) into (pow (sqrt 1/2) 2) 5.708 * [backup-simplify]: Simplify (+ (- (pow (sqrt 1/2) 2)) (pow (sqrt 1/2) 2)) into 0 5.708 * [backup-simplify]: Simplify (+ 0 0) into 0 5.708 * [backup-simplify]: Simplify (* 1 1) into 1 5.710 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 5.711 * [backup-simplify]: Simplify (* 1 (pow (sqrt 1/2) 2)) into (pow (sqrt 1/2) 2) 5.713 * [backup-simplify]: Simplify (- (pow (sqrt 1/2) 2)) into (- (pow (sqrt 1/2) 2)) 5.715 * [backup-simplify]: Simplify (+ 0 (- (pow (sqrt 1/2) 2))) into (- (pow (sqrt 1/2) 2)) 5.717 * [backup-simplify]: Simplify (+ 0 (- (pow (sqrt 1/2) 2))) into (- (pow (sqrt 1/2) 2)) 5.719 * [backup-simplify]: Simplify (- (pow (sqrt 1/2) 2)) into (- (pow (sqrt 1/2) 2)) 5.720 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.720 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 5.721 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 5.721 * [backup-simplify]: Simplify (- 0) into 0 5.723 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 5.724 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 1/2))))) into 0 5.725 * [backup-simplify]: Simplify (- (sqrt 1/2)) into (- (sqrt 1/2)) 5.725 * [backup-simplify]: Simplify (- 0) into 0 5.726 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 5.727 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 1/2))))) into 0 5.728 * [backup-simplify]: Simplify (- 0) into 0 5.729 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- (sqrt 1/2)) 0) (+ (* 0 (sqrt 1/2)) (* 0 0)))) into 0 5.729 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 5.730 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.730 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (sqrt 1/2) 2))) into 0 5.731 * [backup-simplify]: Simplify (+ 0 0) into 0 5.731 * [backup-simplify]: Simplify (+ 0 0) into 0 5.731 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 5.732 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.732 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (sqrt 1/2) 2))) into 0 5.732 * [backup-simplify]: Simplify (- 0) into 0 5.733 * [backup-simplify]: Simplify (+ 0 0) into 0 5.733 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 5.733 * [backup-simplify]: Simplify 1/3 into 1/3 5.734 * [backup-simplify]: Simplify (+ (* 1/3 (pow (/ 1 N) 3)) (+ (* (- (pow (sqrt 1/2) 2)) (pow (/ 1 N) 2)) (* 1 (/ 1 N)))) into (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (/ (pow (sqrt 1/2) 2) (pow N 2))) 5.736 * [backup-simplify]: Simplify (fma (/ 1/3 (* (/ 1 (- N)) (/ 1 (- N)))) (/ 1 (/ 1 (- N))) (+ (- (* (/ 1 (sqrt (/ 1 (- N)))) (/ 1 (sqrt (/ 1 (- N))))) (* (/ (sqrt 1/2) (/ 1 (- N))) (/ (sqrt 1/2) (/ 1 (- N))))) (fma (- (/ (sqrt 1/2) (/ 1 (- N)))) (/ (sqrt 1/2) (/ 1 (- N))) (* (/ (sqrt 1/2) (/ 1 (- N))) (/ (sqrt 1/2) (/ 1 (- N))))))) into (fma (* 1/3 (pow N 2)) (* -1 N) (- (+ (/ 1 (pow (sqrt (/ -1 N)) 2)) (fma (* N (sqrt 1/2)) (* -1 (* N (sqrt 1/2))) (* (pow N 2) (pow (sqrt 1/2) 2)))) (* (pow N 2) (pow (sqrt 1/2) 2)))) 5.736 * [approximate]: Taking taylor expansion of (fma (* 1/3 (pow N 2)) (* -1 N) (- (+ (/ 1 (pow (sqrt (/ -1 N)) 2)) (fma (* N (sqrt 1/2)) (* -1 (* N (sqrt 1/2))) (* (pow N 2) (pow (sqrt 1/2) 2)))) (* (pow N 2) (pow (sqrt 1/2) 2)))) in (N) around 0 5.736 * [taylor]: Taking taylor expansion of (fma (* 1/3 (pow N 2)) (* -1 N) (- (+ (/ 1 (pow (sqrt (/ -1 N)) 2)) (fma (* N (sqrt 1/2)) (* -1 (* N (sqrt 1/2))) (* (pow N 2) (pow (sqrt 1/2) 2)))) (* (pow N 2) (pow (sqrt 1/2) 2)))) in N 5.736 * [taylor]: Rewrote expression to (+ (* (* 1/3 (pow N 2)) (* -1 N)) (- (+ (/ 1 (pow (sqrt (/ -1 N)) 2)) (fma (* N (sqrt 1/2)) (* -1 (* N (sqrt 1/2))) (* (pow N 2) (pow (sqrt 1/2) 2)))) (* (pow N 2) (pow (sqrt 1/2) 2)))) 5.736 * [taylor]: Taking taylor expansion of (* (* 1/3 (pow N 2)) (* -1 N)) in N 5.736 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 2)) in N 5.736 * [taylor]: Taking taylor expansion of 1/3 in N 5.736 * [backup-simplify]: Simplify 1/3 into 1/3 5.736 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.736 * [taylor]: Taking taylor expansion of N in N 5.736 * [backup-simplify]: Simplify 0 into 0 5.736 * [backup-simplify]: Simplify 1 into 1 5.736 * [taylor]: Taking taylor expansion of (* -1 N) in N 5.736 * [taylor]: Taking taylor expansion of -1 in N 5.736 * [backup-simplify]: Simplify -1 into -1 5.736 * [taylor]: Taking taylor expansion of N in N 5.736 * [backup-simplify]: Simplify 0 into 0 5.736 * [backup-simplify]: Simplify 1 into 1 5.736 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow (sqrt (/ -1 N)) 2)) (fma (* N (sqrt 1/2)) (* -1 (* N (sqrt 1/2))) (* (pow N 2) (pow (sqrt 1/2) 2)))) (* (pow N 2) (pow (sqrt 1/2) 2))) in N 5.736 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow (sqrt (/ -1 N)) 2)) (fma (* N (sqrt 1/2)) (* -1 (* N (sqrt 1/2))) (* (pow N 2) (pow (sqrt 1/2) 2)))) in N 5.736 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt (/ -1 N)) 2)) in N 5.736 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 N)) 2) in N 5.736 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 5.736 * [taylor]: Taking taylor expansion of (/ -1 N) in N 5.736 * [taylor]: Taking taylor expansion of -1 in N 5.736 * [backup-simplify]: Simplify -1 into -1 5.737 * [taylor]: Taking taylor expansion of N in N 5.737 * [backup-simplify]: Simplify 0 into 0 5.737 * [backup-simplify]: Simplify 1 into 1 5.737 * [backup-simplify]: Simplify (/ -1 1) into -1 5.737 * [backup-simplify]: Simplify (sqrt 0) into 0 5.738 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.738 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 5.739 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 5.739 * [taylor]: Taking taylor expansion of (fma (* N (sqrt 1/2)) (* -1 (* N (sqrt 1/2))) (* (pow N 2) (pow (sqrt 1/2) 2))) in N 5.739 * [taylor]: Rewrote expression to (+ (* (* N (sqrt 1/2)) (* -1 (* N (sqrt 1/2)))) (* (pow N 2) (pow (sqrt 1/2) 2))) 5.739 * [taylor]: Taking taylor expansion of (* (* N (sqrt 1/2)) (* -1 (* N (sqrt 1/2)))) in N 5.739 * [taylor]: Taking taylor expansion of (* N (sqrt 1/2)) in N 5.739 * [taylor]: Taking taylor expansion of N in N 5.739 * [backup-simplify]: Simplify 0 into 0 5.739 * [backup-simplify]: Simplify 1 into 1 5.739 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 5.739 * [taylor]: Taking taylor expansion of 1/2 in N 5.739 * [backup-simplify]: Simplify 1/2 into 1/2 5.739 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 5.739 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 5.740 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt 1/2))) in N 5.740 * [taylor]: Taking taylor expansion of -1 in N 5.740 * [backup-simplify]: Simplify -1 into -1 5.740 * [taylor]: Taking taylor expansion of (* N (sqrt 1/2)) in N 5.740 * [taylor]: Taking taylor expansion of N in N 5.740 * [backup-simplify]: Simplify 0 into 0 5.740 * [backup-simplify]: Simplify 1 into 1 5.740 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 5.740 * [taylor]: Taking taylor expansion of 1/2 in N 5.740 * [backup-simplify]: Simplify 1/2 into 1/2 5.740 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 5.740 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 5.740 * [taylor]: Taking taylor expansion of (* (pow N 2) (pow (sqrt 1/2) 2)) in N 5.740 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.740 * [taylor]: Taking taylor expansion of N in N 5.740 * [backup-simplify]: Simplify 0 into 0 5.740 * [backup-simplify]: Simplify 1 into 1 5.740 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in N 5.740 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 5.740 * [taylor]: Taking taylor expansion of 1/2 in N 5.740 * [backup-simplify]: Simplify 1/2 into 1/2 5.741 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 5.741 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 5.741 * [taylor]: Taking taylor expansion of (* (pow N 2) (pow (sqrt 1/2) 2)) in N 5.741 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.741 * [taylor]: Taking taylor expansion of N in N 5.741 * [backup-simplify]: Simplify 0 into 0 5.741 * [backup-simplify]: Simplify 1 into 1 5.741 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in N 5.741 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 5.741 * [taylor]: Taking taylor expansion of 1/2 in N 5.741 * [backup-simplify]: Simplify 1/2 into 1/2 5.742 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 5.742 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 5.742 * [taylor]: Taking taylor expansion of (fma (* 1/3 (pow N 2)) (* -1 N) (- (+ (/ 1 (pow (sqrt (/ -1 N)) 2)) (fma (* N (sqrt 1/2)) (* -1 (* N (sqrt 1/2))) (* (pow N 2) (pow (sqrt 1/2) 2)))) (* (pow N 2) (pow (sqrt 1/2) 2)))) in N 5.742 * [taylor]: Rewrote expression to (+ (* (* 1/3 (pow N 2)) (* -1 N)) (- (+ (/ 1 (pow (sqrt (/ -1 N)) 2)) (fma (* N (sqrt 1/2)) (* -1 (* N (sqrt 1/2))) (* (pow N 2) (pow (sqrt 1/2) 2)))) (* (pow N 2) (pow (sqrt 1/2) 2)))) 5.742 * [taylor]: Taking taylor expansion of (* (* 1/3 (pow N 2)) (* -1 N)) in N 5.742 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 2)) in N 5.742 * [taylor]: Taking taylor expansion of 1/3 in N 5.742 * [backup-simplify]: Simplify 1/3 into 1/3 5.742 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.742 * [taylor]: Taking taylor expansion of N in N 5.742 * [backup-simplify]: Simplify 0 into 0 5.742 * [backup-simplify]: Simplify 1 into 1 5.742 * [taylor]: Taking taylor expansion of (* -1 N) in N 5.742 * [taylor]: Taking taylor expansion of -1 in N 5.742 * [backup-simplify]: Simplify -1 into -1 5.742 * [taylor]: Taking taylor expansion of N in N 5.742 * [backup-simplify]: Simplify 0 into 0 5.742 * [backup-simplify]: Simplify 1 into 1 5.742 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow (sqrt (/ -1 N)) 2)) (fma (* N (sqrt 1/2)) (* -1 (* N (sqrt 1/2))) (* (pow N 2) (pow (sqrt 1/2) 2)))) (* (pow N 2) (pow (sqrt 1/2) 2))) in N 5.742 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow (sqrt (/ -1 N)) 2)) (fma (* N (sqrt 1/2)) (* -1 (* N (sqrt 1/2))) (* (pow N 2) (pow (sqrt 1/2) 2)))) in N 5.742 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt (/ -1 N)) 2)) in N 5.742 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 N)) 2) in N 5.742 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 5.742 * [taylor]: Taking taylor expansion of (/ -1 N) in N 5.742 * [taylor]: Taking taylor expansion of -1 in N 5.742 * [backup-simplify]: Simplify -1 into -1 5.742 * [taylor]: Taking taylor expansion of N in N 5.742 * [backup-simplify]: Simplify 0 into 0 5.742 * [backup-simplify]: Simplify 1 into 1 5.743 * [backup-simplify]: Simplify (/ -1 1) into -1 5.743 * [backup-simplify]: Simplify (sqrt 0) into 0 5.744 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 5.744 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 5.744 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 5.744 * [taylor]: Taking taylor expansion of (fma (* N (sqrt 1/2)) (* -1 (* N (sqrt 1/2))) (* (pow N 2) (pow (sqrt 1/2) 2))) in N 5.744 * [taylor]: Rewrote expression to (+ (* (* N (sqrt 1/2)) (* -1 (* N (sqrt 1/2)))) (* (pow N 2) (pow (sqrt 1/2) 2))) 5.744 * [taylor]: Taking taylor expansion of (* (* N (sqrt 1/2)) (* -1 (* N (sqrt 1/2)))) in N 5.744 * [taylor]: Taking taylor expansion of (* N (sqrt 1/2)) in N 5.744 * [taylor]: Taking taylor expansion of N in N 5.744 * [backup-simplify]: Simplify 0 into 0 5.744 * [backup-simplify]: Simplify 1 into 1 5.744 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 5.744 * [taylor]: Taking taylor expansion of 1/2 in N 5.744 * [backup-simplify]: Simplify 1/2 into 1/2 5.745 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 5.745 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 5.745 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt 1/2))) in N 5.745 * [taylor]: Taking taylor expansion of -1 in N 5.745 * [backup-simplify]: Simplify -1 into -1 5.745 * [taylor]: Taking taylor expansion of (* N (sqrt 1/2)) in N 5.745 * [taylor]: Taking taylor expansion of N in N 5.745 * [backup-simplify]: Simplify 0 into 0 5.745 * [backup-simplify]: Simplify 1 into 1 5.745 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 5.745 * [taylor]: Taking taylor expansion of 1/2 in N 5.745 * [backup-simplify]: Simplify 1/2 into 1/2 5.746 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 5.746 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 5.746 * [taylor]: Taking taylor expansion of (* (pow N 2) (pow (sqrt 1/2) 2)) in N 5.746 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.746 * [taylor]: Taking taylor expansion of N in N 5.746 * [backup-simplify]: Simplify 0 into 0 5.746 * [backup-simplify]: Simplify 1 into 1 5.746 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in N 5.746 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 5.746 * [taylor]: Taking taylor expansion of 1/2 in N 5.746 * [backup-simplify]: Simplify 1/2 into 1/2 5.746 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 5.747 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 5.747 * [taylor]: Taking taylor expansion of (* (pow N 2) (pow (sqrt 1/2) 2)) in N 5.747 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.747 * [taylor]: Taking taylor expansion of N in N 5.747 * [backup-simplify]: Simplify 0 into 0 5.747 * [backup-simplify]: Simplify 1 into 1 5.747 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in N 5.747 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 5.747 * [taylor]: Taking taylor expansion of 1/2 in N 5.747 * [backup-simplify]: Simplify 1/2 into 1/2 5.747 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 5.750 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 5.750 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0 5.751 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0 5.751 * [backup-simplify]: Simplify (* -1 0) into 0 5.751 * [backup-simplify]: Simplify (* 0 0) into 0 5.751 * [backup-simplify]: Simplify (+ 0 0) into 0 5.752 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 5.752 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 5.753 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 5.753 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.754 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 5.755 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 5.756 * [backup-simplify]: Simplify (+ (* +nan.0 +nan.0) (* +nan.0 +nan.0)) into (- +nan.0) 5.758 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) +nan.0)))) into (- +nan.0) 5.759 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 1/2))) into (sqrt 1/2) 5.760 * [backup-simplify]: Simplify (+ (* -1 (sqrt 1/2)) (* 0 0)) into (- (sqrt 1/2)) 5.761 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 1/2))) into (sqrt 1/2) 5.762 * [backup-simplify]: Simplify (+ (* 0 (- (sqrt 1/2))) (* (sqrt 1/2) 0)) into 0 5.762 * [backup-simplify]: Simplify (+ 0 0) into 0 5.763 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 5.763 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 5.764 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 5.764 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 5.764 * [backup-simplify]: Simplify (* 1 1) into 1 5.765 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 5.765 * [backup-simplify]: Simplify (* -1 0) into 0 5.765 * [backup-simplify]: Simplify (* 1/3 0) into 0 5.766 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.768 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 5.770 * [backup-simplify]: Simplify (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 +nan.0))) into (- +nan.0) 5.773 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) +nan.0)) (* (- +nan.0) (/ (- +nan.0) +nan.0)))) into (- +nan.0) 5.773 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 5.774 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 1/2)))) into 0 5.775 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (sqrt 1/2)) (* 0 0))) into 0 5.775 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 5.776 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 1/2)))) into 0 5.779 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (sqrt 1/2) (- (sqrt 1/2))) (* 0 0))) into (- (pow (sqrt 1/2) 2)) 5.779 * [backup-simplify]: Simplify (* 1 1) into 1 5.780 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 5.781 * [backup-simplify]: Simplify (* 1 (pow (sqrt 1/2) 2)) into (pow (sqrt 1/2) 2) 5.782 * [backup-simplify]: Simplify (+ (- (pow (sqrt 1/2) 2)) (pow (sqrt 1/2) 2)) into 0 5.783 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 5.783 * [backup-simplify]: Simplify (* 1 1) into 1 5.784 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 5.785 * [backup-simplify]: Simplify (* 1 (pow (sqrt 1/2) 2)) into (pow (sqrt 1/2) 2) 5.786 * [backup-simplify]: Simplify (- (pow (sqrt 1/2) 2)) into (- (pow (sqrt 1/2) 2)) 5.787 * [backup-simplify]: Simplify (+ (- +nan.0) (- (pow (sqrt 1/2) 2))) into (- (+ (pow (sqrt 1/2) 2) (- +nan.0))) 5.790 * [backup-simplify]: Simplify (+ 0 (- (+ (pow (sqrt 1/2) 2) (- +nan.0)))) into (- (+ (pow (sqrt 1/2) 2) (- +nan.0))) 5.792 * [backup-simplify]: Simplify (- (+ (pow (sqrt 1/2) 2) (- +nan.0))) into (- (+ (pow (sqrt 1/2) 2) (- +nan.0))) 5.794 * [backup-simplify]: Simplify (+ (* (- (+ (pow (sqrt 1/2) 2) (- +nan.0))) (pow (/ 1 (- N)) 2)) (+ (* (- +nan.0) (/ 1 (- N))) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (/ (pow (sqrt 1/2) 2) (pow N 2)) (+ (* +nan.0 (/ 1 N)) (- +nan.0))))) 5.794 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 5.795 * [backup-simplify]: Simplify (/ 1/3 (* N N)) into (/ 1/3 (pow N 2)) 5.795 * [approximate]: Taking taylor expansion of (/ 1/3 (pow N 2)) in (N) around 0 5.795 * [taylor]: Taking taylor expansion of (/ 1/3 (pow N 2)) in N 5.795 * [taylor]: Taking taylor expansion of 1/3 in N 5.795 * [backup-simplify]: Simplify 1/3 into 1/3 5.795 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.795 * [taylor]: Taking taylor expansion of N in N 5.795 * [backup-simplify]: Simplify 0 into 0 5.795 * [backup-simplify]: Simplify 1 into 1 5.795 * [backup-simplify]: Simplify (* 1 1) into 1 5.795 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3 5.795 * [taylor]: Taking taylor expansion of (/ 1/3 (pow N 2)) in N 5.795 * [taylor]: Taking taylor expansion of 1/3 in N 5.795 * [backup-simplify]: Simplify 1/3 into 1/3 5.795 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.795 * [taylor]: Taking taylor expansion of N in N 5.795 * [backup-simplify]: Simplify 0 into 0 5.795 * [backup-simplify]: Simplify 1 into 1 5.796 * [backup-simplify]: Simplify (* 1 1) into 1 5.796 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3 5.796 * [backup-simplify]: Simplify 1/3 into 1/3 5.796 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.797 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 5.797 * [backup-simplify]: Simplify 0 into 0 5.797 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.798 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.798 * [backup-simplify]: Simplify 0 into 0 5.799 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.799 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.799 * [backup-simplify]: Simplify 0 into 0 5.800 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.800 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.800 * [backup-simplify]: Simplify 0 into 0 5.801 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.802 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.802 * [backup-simplify]: Simplify 0 into 0 5.803 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.803 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.803 * [backup-simplify]: Simplify 0 into 0 5.804 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 N) 2)) into (/ 1/3 (pow N 2)) 5.804 * [backup-simplify]: Simplify (/ 1/3 (* (/ 1 N) (/ 1 N))) into (* 1/3 (pow N 2)) 5.804 * [approximate]: Taking taylor expansion of (* 1/3 (pow N 2)) in (N) around 0 5.804 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 2)) in N 5.804 * [taylor]: Taking taylor expansion of 1/3 in N 5.804 * [backup-simplify]: Simplify 1/3 into 1/3 5.804 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.804 * [taylor]: Taking taylor expansion of N in N 5.804 * [backup-simplify]: Simplify 0 into 0 5.804 * [backup-simplify]: Simplify 1 into 1 5.804 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 2)) in N 5.804 * [taylor]: Taking taylor expansion of 1/3 in N 5.804 * [backup-simplify]: Simplify 1/3 into 1/3 5.804 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.804 * [taylor]: Taking taylor expansion of N in N 5.804 * [backup-simplify]: Simplify 0 into 0 5.804 * [backup-simplify]: Simplify 1 into 1 5.804 * [backup-simplify]: Simplify (* 1 1) into 1 5.805 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 5.805 * [backup-simplify]: Simplify 1/3 into 1/3 5.805 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.806 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 5.806 * [backup-simplify]: Simplify 0 into 0 5.807 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.808 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 5.808 * [backup-simplify]: Simplify 0 into 0 5.809 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.810 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.810 * [backup-simplify]: Simplify 0 into 0 5.811 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.813 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.813 * [backup-simplify]: Simplify 0 into 0 5.814 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.815 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.815 * [backup-simplify]: Simplify 0 into 0 5.817 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.819 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.819 * [backup-simplify]: Simplify 0 into 0 5.819 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 N) 2)) into (/ 1/3 (pow N 2)) 5.819 * [backup-simplify]: Simplify (/ 1/3 (* (/ 1 (- N)) (/ 1 (- N)))) into (* 1/3 (pow N 2)) 5.819 * [approximate]: Taking taylor expansion of (* 1/3 (pow N 2)) in (N) around 0 5.819 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 2)) in N 5.819 * [taylor]: Taking taylor expansion of 1/3 in N 5.819 * [backup-simplify]: Simplify 1/3 into 1/3 5.819 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.819 * [taylor]: Taking taylor expansion of N in N 5.819 * [backup-simplify]: Simplify 0 into 0 5.819 * [backup-simplify]: Simplify 1 into 1 5.819 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 2)) in N 5.819 * [taylor]: Taking taylor expansion of 1/3 in N 5.819 * [backup-simplify]: Simplify 1/3 into 1/3 5.819 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.820 * [taylor]: Taking taylor expansion of N in N 5.820 * [backup-simplify]: Simplify 0 into 0 5.820 * [backup-simplify]: Simplify 1 into 1 5.820 * [backup-simplify]: Simplify (* 1 1) into 1 5.820 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 5.821 * [backup-simplify]: Simplify 1/3 into 1/3 5.821 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.822 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 5.822 * [backup-simplify]: Simplify 0 into 0 5.823 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.824 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 5.824 * [backup-simplify]: Simplify 0 into 0 5.825 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.826 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.826 * [backup-simplify]: Simplify 0 into 0 5.827 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.829 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.829 * [backup-simplify]: Simplify 0 into 0 5.830 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.831 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.831 * [backup-simplify]: Simplify 0 into 0 5.833 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.835 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.835 * [backup-simplify]: Simplify 0 into 0 5.835 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (- N)) 2)) into (/ 1/3 (pow N 2)) 5.835 * * * * [progress]: [ 4 / 4 ] generating series at (2 3 2 3 2) 5.835 * [backup-simplify]: Simplify (/ (sqrt 1/2) N) into (/ (sqrt 1/2) N) 5.835 * [approximate]: Taking taylor expansion of (/ (sqrt 1/2) N) in (N) around 0 5.835 * [taylor]: Taking taylor expansion of (/ (sqrt 1/2) N) in N 5.835 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 5.835 * [taylor]: Taking taylor expansion of 1/2 in N 5.835 * [backup-simplify]: Simplify 1/2 into 1/2 5.836 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 5.837 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 5.837 * [taylor]: Taking taylor expansion of N in N 5.837 * [backup-simplify]: Simplify 0 into 0 5.837 * [backup-simplify]: Simplify 1 into 1 5.838 * [backup-simplify]: Simplify (/ (sqrt 1/2) 1) into (sqrt 1/2) 5.838 * [taylor]: Taking taylor expansion of (/ (sqrt 1/2) N) in N 5.838 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 5.838 * [taylor]: Taking taylor expansion of 1/2 in N 5.838 * [backup-simplify]: Simplify 1/2 into 1/2 5.838 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 5.839 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 5.839 * [taylor]: Taking taylor expansion of N in N 5.839 * [backup-simplify]: Simplify 0 into 0 5.839 * [backup-simplify]: Simplify 1 into 1 5.840 * [backup-simplify]: Simplify (/ (sqrt 1/2) 1) into (sqrt 1/2) 5.840 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 5.841 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)))) into 0 5.841 * [backup-simplify]: Simplify 0 into 0 5.842 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 5.843 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.843 * [backup-simplify]: Simplify 0 into 0 5.845 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 5.846 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.846 * [backup-simplify]: Simplify 0 into 0 5.847 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 5.849 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.849 * [backup-simplify]: Simplify 0 into 0 5.853 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 5.855 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.855 * [backup-simplify]: Simplify 0 into 0 5.856 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 5.857 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.857 * [backup-simplify]: Simplify 0 into 0 5.858 * [backup-simplify]: Simplify (* (sqrt 1/2) (/ 1 N)) into (/ (sqrt 1/2) N) 5.858 * [backup-simplify]: Simplify (/ (sqrt 1/2) (/ 1 N)) into (* N (sqrt 1/2)) 5.858 * [approximate]: Taking taylor expansion of (* N (sqrt 1/2)) in (N) around 0 5.859 * [taylor]: Taking taylor expansion of (* N (sqrt 1/2)) in N 5.859 * [taylor]: Taking taylor expansion of N in N 5.859 * [backup-simplify]: Simplify 0 into 0 5.859 * [backup-simplify]: Simplify 1 into 1 5.859 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 5.859 * [taylor]: Taking taylor expansion of 1/2 in N 5.859 * [backup-simplify]: Simplify 1/2 into 1/2 5.859 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 5.860 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 5.860 * [taylor]: Taking taylor expansion of (* N (sqrt 1/2)) in N 5.860 * [taylor]: Taking taylor expansion of N in N 5.860 * [backup-simplify]: Simplify 0 into 0 5.860 * [backup-simplify]: Simplify 1 into 1 5.860 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 5.860 * [taylor]: Taking taylor expansion of 1/2 in N 5.860 * [backup-simplify]: Simplify 1/2 into 1/2 5.861 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 5.861 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 5.862 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0 5.862 * [backup-simplify]: Simplify 0 into 0 5.864 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 1/2))) into (sqrt 1/2) 5.864 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 5.866 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 5.867 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 1/2)))) into 0 5.867 * [backup-simplify]: Simplify 0 into 0 5.868 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 5.869 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 1/2))))) into 0 5.869 * [backup-simplify]: Simplify 0 into 0 5.871 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 5.872 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2)))))) into 0 5.872 * [backup-simplify]: Simplify 0 into 0 5.874 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 5.876 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2))))))) into 0 5.876 * [backup-simplify]: Simplify 0 into 0 5.877 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 5.879 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2)))))))) into 0 5.879 * [backup-simplify]: Simplify 0 into 0 5.880 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 5.882 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2))))))))) into 0 5.882 * [backup-simplify]: Simplify 0 into 0 5.883 * [backup-simplify]: Simplify (* (sqrt 1/2) (/ 1 N)) into (/ (sqrt 1/2) N) 5.883 * [backup-simplify]: Simplify (/ (sqrt 1/2) (/ 1 (- N))) into (* -1 (* N (sqrt 1/2))) 5.883 * [approximate]: Taking taylor expansion of (* -1 (* N (sqrt 1/2))) in (N) around 0 5.883 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt 1/2))) in N 5.884 * [taylor]: Taking taylor expansion of -1 in N 5.884 * [backup-simplify]: Simplify -1 into -1 5.884 * [taylor]: Taking taylor expansion of (* N (sqrt 1/2)) in N 5.884 * [taylor]: Taking taylor expansion of N in N 5.884 * [backup-simplify]: Simplify 0 into 0 5.884 * [backup-simplify]: Simplify 1 into 1 5.884 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 5.884 * [taylor]: Taking taylor expansion of 1/2 in N 5.884 * [backup-simplify]: Simplify 1/2 into 1/2 5.884 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 5.885 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 5.885 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt 1/2))) in N 5.885 * [taylor]: Taking taylor expansion of -1 in N 5.885 * [backup-simplify]: Simplify -1 into -1 5.885 * [taylor]: Taking taylor expansion of (* N (sqrt 1/2)) in N 5.885 * [taylor]: Taking taylor expansion of N in N 5.885 * [backup-simplify]: Simplify 0 into 0 5.885 * [backup-simplify]: Simplify 1 into 1 5.885 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 5.885 * [taylor]: Taking taylor expansion of 1/2 in N 5.885 * [backup-simplify]: Simplify 1/2 into 1/2 5.885 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 5.886 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 5.887 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0 5.887 * [backup-simplify]: Simplify (* -1 0) into 0 5.887 * [backup-simplify]: Simplify 0 into 0 5.889 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 1/2))) into (sqrt 1/2) 5.891 * [backup-simplify]: Simplify (+ (* -1 (sqrt 1/2)) (* 0 0)) into (- (sqrt 1/2)) 5.892 * [backup-simplify]: Simplify (- (sqrt 1/2)) into (- (sqrt 1/2)) 5.893 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 5.894 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 1/2)))) into 0 5.895 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (sqrt 1/2)) (* 0 0))) into 0 5.895 * [backup-simplify]: Simplify 0 into 0 5.896 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 5.898 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 1/2))))) into 0 5.899 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (sqrt 1/2)) (* 0 0)))) into 0 5.899 * [backup-simplify]: Simplify 0 into 0 5.900 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 5.902 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2)))))) into 0 5.903 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sqrt 1/2)) (* 0 0))))) into 0 5.903 * [backup-simplify]: Simplify 0 into 0 5.904 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 5.906 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2))))))) into 0 5.908 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sqrt 1/2)) (* 0 0)))))) into 0 5.908 * [backup-simplify]: Simplify 0 into 0 5.909 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 5.911 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2)))))))) into 0 5.913 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sqrt 1/2)) (* 0 0))))))) into 0 5.913 * [backup-simplify]: Simplify 0 into 0 5.914 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 5.916 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2))))))))) into 0 5.918 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sqrt 1/2)) (* 0 0)))))))) into 0 5.918 * [backup-simplify]: Simplify 0 into 0 5.919 * [backup-simplify]: Simplify (* (- (sqrt 1/2)) (/ 1 (- N))) into (/ (sqrt 1/2) N) 5.919 * * * [progress]: simplifying candidates 5.920 * * * * [progress]: [ 1 / 100 ] simplifiying candidate # 5.920 * * * * [progress]: [ 2 / 100 ] simplifiying candidate # 5.920 * * * * [progress]: [ 3 / 100 ] simplifiying candidate # 5.920 * * * * [progress]: [ 4 / 100 ] simplifiying candidate # 5.920 * * * * [progress]: [ 5 / 100 ] simplifiying candidate # 5.920 * * * * [progress]: [ 6 / 100 ] simplifiying candidate # 5.920 * * * * [progress]: [ 7 / 100 ] simplifiying candidate # 5.920 * * * * [progress]: [ 8 / 100 ] simplifiying candidate # 5.920 * * * * [progress]: [ 9 / 100 ] simplifiying candidate # 5.920 * * * * [progress]: [ 10 / 100 ] simplifiying candidate # 5.920 * * * * [progress]: [ 11 / 100 ] simplifiying candidate #real (real->posit16 (fma (- (/ (sqrt 1/2) N)) (/ (sqrt 1/2) N) (* (/ (sqrt 1/2) N) (/ (sqrt 1/2) N))))))))> 5.921 * * * * [progress]: [ 12 / 100 ] simplifiying candidate # 5.921 * * * * [progress]: [ 13 / 100 ] simplifiying candidate # 5.921 * * * * [progress]: [ 14 / 100 ] simplifiying candidate # 5.921 * * * * [progress]: [ 15 / 100 ] simplifiying candidate # 5.921 * * * * [progress]: [ 16 / 100 ] simplifiying candidate # 5.921 * * * * [progress]: [ 17 / 100 ] simplifiying candidate # 5.921 * * * * [progress]: [ 18 / 100 ] simplifiying candidate # 5.921 * * * * [progress]: [ 19 / 100 ] simplifiying candidate # 5.921 * * * * [progress]: [ 20 / 100 ] simplifiying candidate # 5.921 * * * * [progress]: [ 21 / 100 ] simplifiying candidate # 5.921 * * * * [progress]: [ 22 / 100 ] simplifiying candidate #real (real->posit16 (fma (/ 1/3 (* N N)) (/ 1 N) (+ (- (* (/ 1 (sqrt N)) (/ 1 (sqrt N))) (* (/ (sqrt 1/2) N) (/ (sqrt 1/2) N))) (fma (- (/ (sqrt 1/2) N)) (/ (sqrt 1/2) N) (* (/ (sqrt 1/2) N) (/ (sqrt 1/2) N))))))))> 5.921 * * * * [progress]: [ 23 / 100 ] simplifiying candidate # 5.922 * * * * [progress]: [ 24 / 100 ] simplifiying candidate # 5.922 * * * * [progress]: [ 25 / 100 ] simplifiying candidate # 5.922 * * * * [progress]: [ 26 / 100 ] simplifiying candidate # 5.922 * * * * [progress]: [ 27 / 100 ] simplifiying candidate # 5.922 * * * * [progress]: [ 28 / 100 ] simplifiying candidate # 5.922 * * * * [progress]: [ 29 / 100 ] simplifiying candidate # 5.922 * * * * [progress]: [ 30 / 100 ] simplifiying candidate # 5.922 * * * * [progress]: [ 31 / 100 ] simplifiying candidate # 5.922 * * * * [progress]: [ 32 / 100 ] simplifiying candidate # 5.922 * * * * [progress]: [ 33 / 100 ] simplifiying candidate # 5.922 * * * * [progress]: [ 34 / 100 ] simplifiying candidate # 5.922 * * * * [progress]: [ 35 / 100 ] simplifiying candidate # 5.922 * * * * [progress]: [ 36 / 100 ] simplifiying candidate # 5.922 * * * * [progress]: [ 37 / 100 ] simplifiying candidate # 5.923 * * * * [progress]: [ 38 / 100 ] simplifiying candidate # 5.923 * * * * [progress]: [ 39 / 100 ] simplifiying candidate # 5.923 * * * * [progress]: [ 40 / 100 ] simplifiying candidate # 5.923 * * * * [progress]: [ 41 / 100 ] simplifiying candidate # 5.923 * * * * [progress]: [ 42 / 100 ] simplifiying candidate # 5.923 * * * * [progress]: [ 43 / 100 ] simplifiying candidate # 5.923 * * * * [progress]: [ 44 / 100 ] simplifiying candidate # 5.923 * * * * [progress]: [ 45 / 100 ] simplifiying candidate # 5.923 * * * * [progress]: [ 46 / 100 ] simplifiying candidate #real (real->posit16 (/ 1/3 (* N N)))) (/ 1 N) (+ (- (* (/ 1 (sqrt N)) (/ 1 (sqrt N))) (* (/ (sqrt 1/2) N) (/ (sqrt 1/2) N))) (fma (- (/ (sqrt 1/2) N)) (/ (sqrt 1/2) N) (* (/ (sqrt 1/2) N) (/ (sqrt 1/2) N))))))> 5.923 * * * * [progress]: [ 47 / 100 ] simplifiying candidate # 5.923 * * * * [progress]: [ 48 / 100 ] simplifiying candidate # 5.923 * * * * [progress]: [ 49 / 100 ] simplifiying candidate # 5.923 * * * * [progress]: [ 50 / 100 ] simplifiying candidate # 5.924 * * * * [progress]: [ 51 / 100 ] simplifiying candidate # 5.924 * * * * [progress]: [ 52 / 100 ] simplifiying candidate # 5.924 * * * * [progress]: [ 53 / 100 ] simplifiying candidate # 5.924 * * * * [progress]: [ 54 / 100 ] simplifiying candidate # 5.924 * * * * [progress]: [ 55 / 100 ] simplifiying candidate # 5.924 * * * * [progress]: [ 56 / 100 ] simplifiying candidate # 5.924 * * * * [progress]: [ 57 / 100 ] simplifiying candidate # 5.924 * * * * [progress]: [ 58 / 100 ] simplifiying candidate # 5.924 * * * * [progress]: [ 59 / 100 ] simplifiying candidate # 5.924 * * * * [progress]: [ 60 / 100 ] simplifiying candidate # 5.924 * * * * [progress]: [ 61 / 100 ] simplifiying candidate # 5.924 * * * * [progress]: [ 62 / 100 ] simplifiying candidate # 5.925 * * * * [progress]: [ 63 / 100 ] simplifiying candidate # 5.925 * * * * [progress]: [ 64 / 100 ] simplifiying candidate # 5.925 * * * * [progress]: [ 65 / 100 ] simplifiying candidate # 5.925 * * * * [progress]: [ 66 / 100 ] simplifiying candidate # 5.925 * * * * [progress]: [ 67 / 100 ] simplifiying candidate # 5.925 * * * * [progress]: [ 68 / 100 ] simplifiying candidate # 5.925 * * * * [progress]: [ 69 / 100 ] simplifiying candidate # 5.925 * * * * [progress]: [ 70 / 100 ] simplifiying candidate # 5.925 * * * * [progress]: [ 71 / 100 ] simplifiying candidate # 5.925 * * * * [progress]: [ 72 / 100 ] simplifiying candidate # 5.925 * * * * [progress]: [ 73 / 100 ] simplifiying candidate # 5.925 * * * * [progress]: [ 74 / 100 ] simplifiying candidate # 5.925 * * * * [progress]: [ 75 / 100 ] simplifiying candidate # 5.926 * * * * [progress]: [ 76 / 100 ] simplifiying candidate # 5.926 * * * * [progress]: [ 77 / 100 ] simplifiying candidate # 5.926 * * * * [progress]: [ 78 / 100 ] simplifiying candidate # 5.926 * * * * [progress]: [ 79 / 100 ] simplifiying candidate # 5.926 * * * * [progress]: [ 80 / 100 ] simplifiying candidate # 5.926 * * * * [progress]: [ 81 / 100 ] simplifiying candidate # 5.926 * * * * [progress]: [ 82 / 100 ] simplifiying candidate # 5.926 * * * * [progress]: [ 83 / 100 ] simplifiying candidate # 5.926 * * * * [progress]: [ 84 / 100 ] simplifiying candidate # 5.926 * * * * [progress]: [ 85 / 100 ] simplifiying candidate # 5.926 * * * * [progress]: [ 86 / 100 ] simplifiying candidate # 5.926 * * * * [progress]: [ 87 / 100 ] simplifiying candidate # 5.926 * * * * [progress]: [ 88 / 100 ] simplifiying candidate #real (real->posit16 (/ (sqrt 1/2) N))))))))> 5.927 * * * * [progress]: [ 89 / 100 ] simplifiying candidate # 5.927 * * * * [progress]: [ 90 / 100 ] simplifiying candidate # 5.927 * * * * [progress]: [ 91 / 100 ] simplifiying candidate # 5.927 * * * * [progress]: [ 92 / 100 ] simplifiying candidate # 5.927 * * * * [progress]: [ 93 / 100 ] simplifiying candidate # 5.927 * * * * [progress]: [ 94 / 100 ] simplifiying candidate # 5.927 * * * * [progress]: [ 95 / 100 ] simplifiying candidate # 5.927 * * * * [progress]: [ 96 / 100 ] simplifiying candidate # 5.927 * * * * [progress]: [ 97 / 100 ] simplifiying candidate # 5.927 * * * * [progress]: [ 98 / 100 ] simplifiying candidate # 5.927 * * * * [progress]: [ 99 / 100 ] simplifiying candidate # 5.927 * * * * [progress]: [ 100 / 100 ] simplifiying candidate # 5.929 * [simplify]: Simplifying: (expm1 (fma (- (/ (sqrt 1/2) N)) (/ (sqrt 1/2) N) (* (/ (sqrt 1/2) N) (/ (sqrt 1/2) N)))) (log1p (fma (- (/ (sqrt 1/2) N)) (/ (sqrt 1/2) N) (* (/ (sqrt 1/2) N) (/ (sqrt 1/2) N)))) (* (- (/ (sqrt 1/2) N)) (/ (sqrt 1/2) N)) (log (fma (- (/ (sqrt 1/2) N)) (/ (sqrt 1/2) N) (* (/ (sqrt 1/2) N) (/ (sqrt 1/2) N)))) (exp (fma (- (/ (sqrt 1/2) N)) (/ (sqrt 1/2) N) (* (/ (sqrt 1/2) N) (/ (sqrt 1/2) N)))) (* (cbrt (fma (- (/ (sqrt 1/2) N)) (/ (sqrt 1/2) N) (* (/ (sqrt 1/2) N) (/ (sqrt 1/2) N)))) (cbrt (fma (- (/ (sqrt 1/2) N)) (/ (sqrt 1/2) N) (* (/ (sqrt 1/2) N) (/ (sqrt 1/2) N))))) (cbrt (fma (- (/ (sqrt 1/2) N)) (/ (sqrt 1/2) N) (* (/ (sqrt 1/2) N) (/ (sqrt 1/2) N)))) (* (* (fma (- (/ (sqrt 1/2) N)) (/ (sqrt 1/2) N) (* (/ (sqrt 1/2) N) (/ (sqrt 1/2) N))) (fma (- (/ (sqrt 1/2) N)) (/ (sqrt 1/2) N) (* (/ (sqrt 1/2) N) (/ (sqrt 1/2) N)))) (fma (- (/ (sqrt 1/2) N)) (/ (sqrt 1/2) N) (* (/ (sqrt 1/2) N) (/ (sqrt 1/2) N)))) (sqrt (fma (- (/ (sqrt 1/2) N)) (/ (sqrt 1/2) N) (* (/ (sqrt 1/2) N) (/ (sqrt 1/2) N)))) (sqrt (fma (- (/ (sqrt 1/2) N)) (/ (sqrt 1/2) N) (* (/ (sqrt 1/2) N) (/ (sqrt 1/2) N)))) (real->posit16 (fma (- (/ (sqrt 1/2) N)) (/ (sqrt 1/2) N) (* (/ (sqrt 1/2) N) (/ (sqrt 1/2) N)))) (expm1 (fma (/ 1/3 (* N N)) (/ 1 N) (+ (- (* (/ 1 (sqrt N)) (/ 1 (sqrt N))) (* (/ (sqrt 1/2) N) (/ (sqrt 1/2) N))) (fma (- (/ (sqrt 1/2) N)) (/ (sqrt 1/2) N) (* (/ (sqrt 1/2) N) (/ (sqrt 1/2) N)))))) (log1p (fma (/ 1/3 (* N N)) (/ 1 N) (+ (- (* (/ 1 (sqrt N)) (/ 1 (sqrt N))) (* (/ (sqrt 1/2) N) (/ (sqrt 1/2) N))) (fma (- (/ (sqrt 1/2) N)) (/ (sqrt 1/2) N) (* (/ (sqrt 1/2) N) (/ (sqrt 1/2) N)))))) (* (/ 1/3 (* N N)) (/ 1 N)) (log (fma (/ 1/3 (* N N)) (/ 1 N) (+ (- (* (/ 1 (sqrt N)) (/ 1 (sqrt N))) (* (/ (sqrt 1/2) N) (/ (sqrt 1/2) N))) (fma (- (/ (sqrt 1/2) N)) (/ (sqrt 1/2) N) (* (/ (sqrt 1/2) N) (/ (sqrt 1/2) N)))))) (exp (fma (/ 1/3 (* N N)) (/ 1 N) (+ (- (* (/ 1 (sqrt N)) (/ 1 (sqrt N))) (* (/ (sqrt 1/2) N) (/ (sqrt 1/2) N))) (fma (- (/ (sqrt 1/2) N)) (/ (sqrt 1/2) N) (* (/ (sqrt 1/2) N) (/ (sqrt 1/2) N)))))) (* (cbrt (fma (/ 1/3 (* N N)) (/ 1 N) (+ (- (* (/ 1 (sqrt N)) (/ 1 (sqrt N))) (* (/ (sqrt 1/2) N) (/ (sqrt 1/2) N))) (fma (- (/ (sqrt 1/2) N)) (/ (sqrt 1/2) N) (* (/ (sqrt 1/2) N) (/ (sqrt 1/2) N)))))) (cbrt (fma (/ 1/3 (* N N)) (/ 1 N) (+ (- (* (/ 1 (sqrt N)) (/ 1 (sqrt N))) (* (/ (sqrt 1/2) N) (/ (sqrt 1/2) N))) (fma (- (/ (sqrt 1/2) N)) (/ (sqrt 1/2) N) (* (/ (sqrt 1/2) N) (/ (sqrt 1/2) N))))))) (cbrt (fma (/ 1/3 (* N N)) (/ 1 N) (+ (- (* (/ 1 (sqrt N)) (/ 1 (sqrt N))) (* (/ (sqrt 1/2) N) (/ (sqrt 1/2) N))) (fma (- (/ (sqrt 1/2) N)) (/ (sqrt 1/2) N) (* (/ (sqrt 1/2) N) (/ (sqrt 1/2) N)))))) (* (* (fma (/ 1/3 (* N N)) (/ 1 N) (+ (- (* (/ 1 (sqrt N)) (/ 1 (sqrt N))) (* (/ (sqrt 1/2) N) (/ (sqrt 1/2) N))) (fma (- (/ (sqrt 1/2) N)) (/ (sqrt 1/2) N) (* (/ (sqrt 1/2) N) (/ (sqrt 1/2) N))))) (fma (/ 1/3 (* N N)) (/ 1 N) (+ (- (* (/ 1 (sqrt N)) (/ 1 (sqrt N))) (* (/ (sqrt 1/2) N) (/ (sqrt 1/2) N))) (fma (- (/ (sqrt 1/2) N)) (/ (sqrt 1/2) N) (* (/ (sqrt 1/2) N) (/ (sqrt 1/2) N)))))) (fma (/ 1/3 (* N N)) (/ 1 N) (+ (- (* (/ 1 (sqrt N)) (/ 1 (sqrt N))) (* (/ (sqrt 1/2) N) (/ (sqrt 1/2) N))) (fma (- (/ (sqrt 1/2) N)) (/ (sqrt 1/2) N) (* (/ (sqrt 1/2) N) (/ (sqrt 1/2) N)))))) (sqrt (fma (/ 1/3 (* N N)) (/ 1 N) (+ (- (* (/ 1 (sqrt N)) (/ 1 (sqrt N))) (* (/ (sqrt 1/2) N) (/ (sqrt 1/2) N))) (fma (- (/ (sqrt 1/2) N)) (/ (sqrt 1/2) N) (* (/ (sqrt 1/2) N) (/ (sqrt 1/2) N)))))) (sqrt (fma (/ 1/3 (* N N)) (/ 1 N) (+ (- (* (/ 1 (sqrt N)) (/ 1 (sqrt N))) (* (/ (sqrt 1/2) N) (/ (sqrt 1/2) N))) (fma (- (/ (sqrt 1/2) N)) (/ (sqrt 1/2) N) (* (/ (sqrt 1/2) N) (/ (sqrt 1/2) N)))))) (real->posit16 (fma (/ 1/3 (* N N)) (/ 1 N) (+ (- (* (/ 1 (sqrt N)) (/ 1 (sqrt N))) (* (/ (sqrt 1/2) N) (/ (sqrt 1/2) N))) (fma (- (/ (sqrt 1/2) N)) (/ (sqrt 1/2) N) (* (/ (sqrt 1/2) N) (/ (sqrt 1/2) N)))))) (expm1 (/ 1/3 (* N N))) (log1p (/ 1/3 (* N N))) (- (log 1/3) (+ (log N) (log N))) (- (log 1/3) (log (* N N))) (log (/ 1/3 (* N N))) (exp (/ 1/3 (* N N))) (/ (* (* 1/3 1/3) 1/3) (* (* (* N N) N) (* (* N N) N))) (/ (* (* 1/3 1/3) 1/3) (* (* (* N N) (* N N)) (* N N))) (* (cbrt (/ 1/3 (* N N))) (cbrt (/ 1/3 (* N N)))) (cbrt (/ 1/3 (* N N))) (* (* (/ 1/3 (* N N)) (/ 1/3 (* N N))) (/ 1/3 (* N N))) (sqrt (/ 1/3 (* N N))) (sqrt (/ 1/3 (* N N))) (- 1/3) (- (* N N)) (/ (* (cbrt 1/3) (cbrt 1/3)) N) (/ (cbrt 1/3) N) (/ (sqrt 1/3) N) (/ (sqrt 1/3) N) (/ 1 N) (/ 1/3 N) (/ 1 (* N N)) (/ (* N N) 1/3) (/ 1/3 N) (/ (* N N) (cbrt 1/3)) (/ (* N N) (sqrt 1/3)) (/ (* N N) 1/3) (real->posit16 (/ 1/3 (* N N))) (expm1 (/ (sqrt 1/2) N)) (log1p (/ (sqrt 1/2) N)) (- (log (sqrt 1/2)) (log N)) (log (/ (sqrt 1/2) N)) (exp (/ (sqrt 1/2) N)) (/ (* (* (sqrt 1/2) (sqrt 1/2)) (sqrt 1/2)) (* (* N N) N)) (* (cbrt (/ (sqrt 1/2) N)) (cbrt (/ (sqrt 1/2) N))) (cbrt (/ (sqrt 1/2) N)) (* (* (/ (sqrt 1/2) N) (/ (sqrt 1/2) N)) (/ (sqrt 1/2) N)) (sqrt (/ (sqrt 1/2) N)) (sqrt (/ (sqrt 1/2) N)) (- (sqrt 1/2)) (- N) (/ (* (cbrt (sqrt 1/2)) (cbrt (sqrt 1/2))) (* (cbrt N) (cbrt N))) (/ (cbrt (sqrt 1/2)) (cbrt N)) (/ (* (cbrt (sqrt 1/2)) (cbrt (sqrt 1/2))) (sqrt N)) (/ (cbrt (sqrt 1/2)) (sqrt N)) (/ (* (cbrt (sqrt 1/2)) (cbrt (sqrt 1/2))) 1) (/ (cbrt (sqrt 1/2)) N) (/ (sqrt (* (cbrt 1/2) (cbrt 1/2))) (* (cbrt N) (cbrt N))) (/ (sqrt (cbrt 1/2)) (cbrt N)) (/ (sqrt (* (cbrt 1/2) (cbrt 1/2))) (sqrt N)) (/ (sqrt (cbrt 1/2)) (sqrt N)) (/ (sqrt (* (cbrt 1/2) (cbrt 1/2))) 1) (/ (sqrt (cbrt 1/2)) N) (/ (sqrt (sqrt 1/2)) (* (cbrt N) (cbrt N))) (/ (sqrt (sqrt 1/2)) (cbrt N)) (/ (sqrt (sqrt 1/2)) (sqrt N)) (/ (sqrt (sqrt 1/2)) (sqrt N)) (/ (sqrt (sqrt 1/2)) 1) (/ (sqrt (sqrt 1/2)) N) (/ (sqrt 1) (* (cbrt N) (cbrt N))) (/ (sqrt 1/2) (cbrt N)) (/ (sqrt 1) (sqrt N)) (/ (sqrt 1/2) (sqrt N)) (/ (sqrt 1) 1) (/ (sqrt 1/2) N) (/ (sqrt (sqrt 1/2)) (* (cbrt N) (cbrt N))) (/ (sqrt (sqrt 1/2)) (cbrt N)) (/ (sqrt (sqrt 1/2)) (sqrt N)) (/ (sqrt (sqrt 1/2)) (sqrt N)) (/ (sqrt (sqrt 1/2)) 1) (/ (sqrt (sqrt 1/2)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (sqrt 1/2) (cbrt N)) (/ 1 (sqrt N)) (/ (sqrt 1/2) (sqrt N)) (/ 1 1) (/ (sqrt 1/2) N) (/ 1 N) (/ N (sqrt 1/2)) (/ (sqrt 1/2) (* (cbrt N) (cbrt N))) (/ (sqrt 1/2) (sqrt N)) (/ (sqrt 1/2) 1) (/ N (cbrt (sqrt 1/2))) (/ N (sqrt (cbrt 1/2))) (/ N (sqrt (sqrt 1/2))) (/ N (sqrt 1/2)) (/ N (sqrt (sqrt 1/2))) (/ N (sqrt 1/2)) (real->posit16 (/ (sqrt 1/2) N)) 0 0 0 (- (+ (/ 1 N) (* 1/3 (/ 1 (pow N 3)))) (/ (pow (sqrt 1/2) 2) (pow N 2))) (- (+ (* 1/3 (/ 1 (pow N 3))) (/ 1 N)) (/ (pow (sqrt 1/2) 2) (pow N 2))) (- (+ (* +nan.0 (/ 1 (pow N 2))) (- (/ (pow (sqrt 1/2) 2) (pow N 2)) (+ (* +nan.0 (/ 1 N)) (- +nan.0))))) (/ 1/3 (pow N 2)) (/ 1/3 (pow N 2)) (/ 1/3 (pow N 2)) (/ (sqrt 1/2) N) (/ (sqrt 1/2) N) (/ (sqrt 1/2) N) 5.932 * * [simplify]: iteration 0: 156 enodes 5.992 * * [simplify]: iteration 1: 310 enodes 6.151 * * [simplify]: iteration 2: 984 enodes 6.315 * * [simplify]: iteration 3: 2001 enodes 6.776 * * [simplify]: iteration complete: 2001 enodes 6.776 * * [simplify]: Extracting #0: cost 86 inf + 0 6.777 * * [simplify]: Extracting #1: cost 396 inf + 3 6.783 * * [simplify]: Extracting #2: cost 641 inf + 10492 6.798 * * [simplify]: Extracting #3: cost 405 inf + 48498 6.814 * * [simplify]: Extracting #4: cost 83 inf + 102191 6.844 * * [simplify]: Extracting #5: cost 2 inf + 129610 6.871 * * [simplify]: Extracting #6: cost 0 inf + 130650 6.908 * [simplify]: Simplified to: (expm1 (+ (/ 1/2 (* N N)) (/ -1/2 (* N N)))) (log1p (+ (/ 1/2 (* N N)) (/ -1/2 (* N N)))) (/ -1/2 (* N N)) (log (+ (/ 1/2 (* N N)) (/ -1/2 (* N N)))) (exp (+ (/ 1/2 (* N N)) (/ -1/2 (* N N)))) (* (cbrt (+ (/ 1/2 (* N N)) (/ -1/2 (* N N)))) (cbrt (+ (/ 1/2 (* N N)) (/ -1/2 (* N N))))) (cbrt (+ (/ 1/2 (* N N)) (/ -1/2 (* N N)))) (* (* (+ (/ 1/2 (* N N)) (/ -1/2 (* N N))) (+ (/ 1/2 (* N N)) (/ -1/2 (* N N)))) (+ (/ 1/2 (* N N)) (/ -1/2 (* N N)))) (sqrt (+ (/ 1/2 (* N N)) (/ -1/2 (* N N)))) (sqrt (+ (/ 1/2 (* N N)) (/ -1/2 (* N N)))) (real->posit16 (+ (/ 1/2 (* N N)) (/ -1/2 (* N N)))) (expm1 (+ (/ (/ 1/3 (* N N)) N) (+ (fma (/ 1 (sqrt N)) (/ 1 (sqrt N)) (/ -1/2 (* N N))) (+ (/ 1/2 (* N N)) (/ -1/2 (* N N)))))) (log1p (+ (/ (/ 1/3 (* N N)) N) (+ (fma (/ 1 (sqrt N)) (/ 1 (sqrt N)) (/ -1/2 (* N N))) (+ (/ 1/2 (* N N)) (/ -1/2 (* N N)))))) (/ (/ 1/3 (* N N)) N) (log (+ (/ (/ 1/3 (* N N)) N) (+ (fma (/ 1 (sqrt N)) (/ 1 (sqrt N)) (/ -1/2 (* N N))) (+ (/ 1/2 (* N N)) (/ -1/2 (* N N)))))) (exp (+ (/ (/ 1/3 (* N N)) N) (+ (fma (/ 1 (sqrt N)) (/ 1 (sqrt N)) (/ -1/2 (* N N))) (+ (/ 1/2 (* N N)) (/ -1/2 (* N N)))))) (* (cbrt (+ (/ (/ 1/3 (* N N)) N) (+ (fma (/ 1 (sqrt N)) (/ 1 (sqrt N)) (/ -1/2 (* N N))) (+ (/ 1/2 (* N N)) (/ -1/2 (* N N)))))) (cbrt (+ (/ (/ 1/3 (* N N)) N) (+ (fma (/ 1 (sqrt N)) (/ 1 (sqrt N)) (/ -1/2 (* N N))) (+ (/ 1/2 (* N N)) (/ -1/2 (* N N))))))) (cbrt (+ (/ (/ 1/3 (* N N)) N) (+ (fma (/ 1 (sqrt N)) (/ 1 (sqrt N)) (/ -1/2 (* N N))) (+ (/ 1/2 (* N N)) (/ -1/2 (* N N)))))) (* (* (+ (/ (/ 1/3 (* N N)) N) (+ (fma (/ 1 (sqrt N)) (/ 1 (sqrt N)) (/ -1/2 (* N N))) (+ (/ 1/2 (* N N)) (/ -1/2 (* N N))))) (+ (/ (/ 1/3 (* N N)) N) (+ (fma (/ 1 (sqrt N)) (/ 1 (sqrt N)) (/ -1/2 (* N N))) (+ (/ 1/2 (* N N)) (/ -1/2 (* N N)))))) (+ (/ (/ 1/3 (* N N)) N) (+ (fma (/ 1 (sqrt N)) (/ 1 (sqrt N)) (/ -1/2 (* N N))) (+ (/ 1/2 (* N N)) (/ -1/2 (* N N)))))) (sqrt (+ (/ (/ 1/3 (* N N)) N) (+ (fma (/ 1 (sqrt N)) (/ 1 (sqrt N)) (/ -1/2 (* N N))) (+ (/ 1/2 (* N N)) (/ -1/2 (* N N)))))) (sqrt (+ (/ (/ 1/3 (* N N)) N) (+ (fma (/ 1 (sqrt N)) (/ 1 (sqrt N)) (/ -1/2 (* N N))) (+ (/ 1/2 (* N N)) (/ -1/2 (* N N)))))) (real->posit16 (+ (/ (/ 1/3 (* N N)) N) (+ (fma (/ 1 (sqrt N)) (/ 1 (sqrt N)) (/ -1/2 (* N N))) (+ (/ 1/2 (* N N)) (/ -1/2 (* N N)))))) (expm1 (/ 1/3 (* N N))) (log1p (/ 1/3 (* N N))) (log (/ 1/3 (* N N))) (log (/ 1/3 (* N N))) (log (/ 1/3 (* N N))) (exp (/ 1/3 (* N N))) (/ (/ 1/27 (* (* N N) (* N N))) (* N N)) (/ (/ 1/27 (* (* N N) (* N N))) (* N N)) (* (cbrt (/ 1/3 (* N N))) (cbrt (/ 1/3 (* N N)))) (cbrt (/ 1/3 (* N N))) (* (* (/ 1/3 (* N N)) (/ 1/3 (* N N))) (/ 1/3 (* N N))) (sqrt (/ 1/3 (* N N))) (sqrt (/ 1/3 (* N N))) -1/3 (- (* N N)) (/ (cbrt 1/3) (/ N (cbrt 1/3))) (/ (cbrt 1/3) N) (/ (sqrt 1/3) N) (/ (sqrt 1/3) N) (/ 1 N) (/ 1/3 N) (/ (/ 1 N) N) (/ (* N N) 1/3) (/ 1/3 N) (* (/ N (cbrt 1/3)) N) (/ (* N N) (sqrt 1/3)) (/ (* N N) 1/3) (real->posit16 (/ 1/3 (* N N))) (expm1 (/ (sqrt 1/2) N)) (log1p (/ (sqrt 1/2) N)) (log (/ (sqrt 1/2) N)) (log (/ (sqrt 1/2) N)) (exp (/ (sqrt 1/2) N)) (* (/ (sqrt 1/2) N) (/ 1/2 (* N N))) (* (cbrt (/ (sqrt 1/2) N)) (cbrt (/ (sqrt 1/2) N))) (cbrt (/ (sqrt 1/2) N)) (* (/ (sqrt 1/2) N) (/ 1/2 (* N N))) (sqrt (/ (sqrt 1/2) N)) (sqrt (/ (sqrt 1/2) N)) (- (sqrt 1/2)) (- N) (* (/ (cbrt (sqrt 1/2)) (cbrt N)) (/ (cbrt (sqrt 1/2)) (cbrt N))) (/ (cbrt (sqrt 1/2)) (cbrt N)) (/ (* (cbrt (sqrt 1/2)) (cbrt (sqrt 1/2))) (sqrt N)) (/ (cbrt (sqrt 1/2)) (sqrt N)) (* (cbrt (sqrt 1/2)) (cbrt (sqrt 1/2))) (/ (cbrt (sqrt 1/2)) N) (/ (fabs (cbrt 1/2)) (* (cbrt N) (cbrt N))) (/ (sqrt (cbrt 1/2)) (cbrt N)) (/ (fabs (cbrt 1/2)) (sqrt N)) (/ (sqrt (cbrt 1/2)) (sqrt N)) (fabs (cbrt 1/2)) (/ (sqrt (cbrt 1/2)) N) (/ (sqrt (sqrt 1/2)) (* (cbrt N) (cbrt N))) (/ (sqrt (sqrt 1/2)) (cbrt N)) (/ (sqrt (sqrt 1/2)) (sqrt N)) (/ (sqrt (sqrt 1/2)) (sqrt N)) (sqrt (sqrt 1/2)) (/ (sqrt (sqrt 1/2)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (sqrt 1/2) (cbrt N)) (/ 1 (sqrt N)) (/ (sqrt 1/2) (sqrt N)) 1 (/ (sqrt 1/2) N) (/ (sqrt (sqrt 1/2)) (* (cbrt N) (cbrt N))) (/ (sqrt (sqrt 1/2)) (cbrt N)) (/ (sqrt (sqrt 1/2)) (sqrt N)) (/ (sqrt (sqrt 1/2)) (sqrt N)) (sqrt (sqrt 1/2)) (/ (sqrt (sqrt 1/2)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (sqrt 1/2) (cbrt N)) (/ 1 (sqrt N)) (/ (sqrt 1/2) (sqrt N)) 1 (/ (sqrt 1/2) N) (/ 1 N) (/ N (sqrt 1/2)) (/ (sqrt 1/2) (* (cbrt N) (cbrt N))) (/ (sqrt 1/2) (sqrt N)) (sqrt 1/2) (/ N (cbrt (sqrt 1/2))) (/ N (sqrt (cbrt 1/2))) (/ N (sqrt (sqrt 1/2))) (/ N (sqrt 1/2)) (/ N (sqrt (sqrt 1/2))) (/ N (sqrt 1/2)) (real->posit16 (/ (sqrt 1/2) N)) 0 0 0 (+ (fma (/ 1 N) (/ 1/3 (* N N)) (/ 1 N)) (/ -1/2 (* N N))) (+ (fma (/ 1 N) (/ 1/3 (* N N)) (/ 1 N)) (/ -1/2 (* N N))) (- (/ (- +nan.0) (* N N)) (+ (- (/ 1/2 (* N N)) (/ +nan.0 N)) +nan.0)) (/ 1/3 (* N N)) (/ 1/3 (* N N)) (/ 1/3 (* N N)) (/ (sqrt 1/2) N) (/ (sqrt 1/2) N) (/ (sqrt 1/2) N) 6.921 * * * [progress]: adding candidates to table 8.184 * * [progress]: iteration 4 / 4 8.184 * * * [progress]: picking best candidate 8.192 * * * * [pick]: Picked # 8.192 * * * [progress]: localizing error 8.209 * * * [progress]: generating rewritten candidates 8.209 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 8.216 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 8.245 * * * [progress]: generating series expansions 8.246 * * * * [progress]: [ 1 / 2 ] generating series at (2) 8.246 * [backup-simplify]: Simplify (log (/ (+ N 1) N)) into (log (/ (+ N 1) N)) 8.246 * [approximate]: Taking taylor expansion of (log (/ (+ N 1) N)) in (N) around 0 8.246 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 8.246 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 8.246 * [taylor]: Taking taylor expansion of (+ N 1) in N 8.246 * [taylor]: Taking taylor expansion of N in N 8.246 * [backup-simplify]: Simplify 0 into 0 8.246 * [backup-simplify]: Simplify 1 into 1 8.246 * [taylor]: Taking taylor expansion of 1 in N 8.246 * [backup-simplify]: Simplify 1 into 1 8.246 * [taylor]: Taking taylor expansion of N in N 8.246 * [backup-simplify]: Simplify 0 into 0 8.246 * [backup-simplify]: Simplify 1 into 1 8.247 * [backup-simplify]: Simplify (+ 0 1) into 1 8.247 * [backup-simplify]: Simplify (/ 1 1) into 1 8.248 * [backup-simplify]: Simplify (log 1) into 0 8.248 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 8.248 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 8.248 * [taylor]: Taking taylor expansion of (+ N 1) in N 8.248 * [taylor]: Taking taylor expansion of N in N 8.248 * [backup-simplify]: Simplify 0 into 0 8.248 * [backup-simplify]: Simplify 1 into 1 8.248 * [taylor]: Taking taylor expansion of 1 in N 8.248 * [backup-simplify]: Simplify 1 into 1 8.248 * [taylor]: Taking taylor expansion of N in N 8.248 * [backup-simplify]: Simplify 0 into 0 8.248 * [backup-simplify]: Simplify 1 into 1 8.248 * [backup-simplify]: Simplify (+ 0 1) into 1 8.249 * [backup-simplify]: Simplify (/ 1 1) into 1 8.249 * [backup-simplify]: Simplify (log 1) into 0 8.250 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 8.250 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 8.250 * [backup-simplify]: Simplify (+ 1 0) into 1 8.251 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 8.252 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 8.252 * [backup-simplify]: Simplify 1 into 1 8.253 * [backup-simplify]: Simplify (+ 0 0) into 0 8.254 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 8.256 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 8.256 * [backup-simplify]: Simplify -1/2 into -1/2 8.257 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 8.257 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1) (/ 1 N))) into (log (* N (+ (/ 1 N) 1))) 8.257 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in (N) around 0 8.257 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 8.257 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 8.257 * [taylor]: Taking taylor expansion of N in N 8.257 * [backup-simplify]: Simplify 0 into 0 8.257 * [backup-simplify]: Simplify 1 into 1 8.257 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 8.257 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.257 * [taylor]: Taking taylor expansion of N in N 8.257 * [backup-simplify]: Simplify 0 into 0 8.257 * [backup-simplify]: Simplify 1 into 1 8.257 * [backup-simplify]: Simplify (/ 1 1) into 1 8.258 * [taylor]: Taking taylor expansion of 1 in N 8.258 * [backup-simplify]: Simplify 1 into 1 8.258 * [backup-simplify]: Simplify (+ 1 0) into 1 8.258 * [backup-simplify]: Simplify (* 0 1) into 0 8.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.260 * [backup-simplify]: Simplify (+ 0 1) into 1 8.260 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 8.261 * [backup-simplify]: Simplify (log 1) into 0 8.261 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 8.261 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 8.261 * [taylor]: Taking taylor expansion of N in N 8.261 * [backup-simplify]: Simplify 0 into 0 8.261 * [backup-simplify]: Simplify 1 into 1 8.261 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 8.261 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.261 * [taylor]: Taking taylor expansion of N in N 8.261 * [backup-simplify]: Simplify 0 into 0 8.261 * [backup-simplify]: Simplify 1 into 1 8.261 * [backup-simplify]: Simplify (/ 1 1) into 1 8.261 * [taylor]: Taking taylor expansion of 1 in N 8.261 * [backup-simplify]: Simplify 1 into 1 8.262 * [backup-simplify]: Simplify (+ 1 0) into 1 8.262 * [backup-simplify]: Simplify (* 0 1) into 0 8.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.263 * [backup-simplify]: Simplify (+ 0 1) into 1 8.264 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 8.264 * [backup-simplify]: Simplify (log 1) into 0 8.264 * [backup-simplify]: Simplify 0 into 0 8.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.266 * [backup-simplify]: Simplify (+ 0 0) into 0 8.267 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 8.268 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 8.268 * [backup-simplify]: Simplify 1 into 1 8.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.269 * [backup-simplify]: Simplify (+ 0 0) into 0 8.270 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 8.273 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 8.273 * [backup-simplify]: Simplify -1/2 into -1/2 8.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.275 * [backup-simplify]: Simplify (+ 0 0) into 0 8.276 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 8.281 * [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 8.281 * [backup-simplify]: Simplify 1/3 into 1/3 8.282 * [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)))) 8.282 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1) (/ 1 (- N)))) into (log (* -1 (* N (- 1 (/ 1 N))))) 8.282 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 8.282 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 8.282 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 8.282 * [taylor]: Taking taylor expansion of -1 in N 8.282 * [backup-simplify]: Simplify -1 into -1 8.282 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 8.282 * [taylor]: Taking taylor expansion of N in N 8.282 * [backup-simplify]: Simplify 0 into 0 8.282 * [backup-simplify]: Simplify 1 into 1 8.282 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 8.282 * [taylor]: Taking taylor expansion of 1 in N 8.282 * [backup-simplify]: Simplify 1 into 1 8.282 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.282 * [taylor]: Taking taylor expansion of N in N 8.282 * [backup-simplify]: Simplify 0 into 0 8.282 * [backup-simplify]: Simplify 1 into 1 8.283 * [backup-simplify]: Simplify (/ 1 1) into 1 8.283 * [backup-simplify]: Simplify (- 1) into -1 8.283 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.284 * [backup-simplify]: Simplify (* 0 -1) into 0 8.284 * [backup-simplify]: Simplify (* -1 0) into 0 8.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.285 * [backup-simplify]: Simplify (- 0) into 0 8.286 * [backup-simplify]: Simplify (+ 1 0) into 1 8.286 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 8.287 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 8.287 * [backup-simplify]: Simplify (log 1) into 0 8.287 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 8.287 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 8.287 * [taylor]: Taking taylor expansion of -1 in N 8.288 * [backup-simplify]: Simplify -1 into -1 8.288 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 8.288 * [taylor]: Taking taylor expansion of N in N 8.288 * [backup-simplify]: Simplify 0 into 0 8.288 * [backup-simplify]: Simplify 1 into 1 8.288 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 8.288 * [taylor]: Taking taylor expansion of 1 in N 8.288 * [backup-simplify]: Simplify 1 into 1 8.288 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.288 * [taylor]: Taking taylor expansion of N in N 8.288 * [backup-simplify]: Simplify 0 into 0 8.288 * [backup-simplify]: Simplify 1 into 1 8.288 * [backup-simplify]: Simplify (/ 1 1) into 1 8.289 * [backup-simplify]: Simplify (- 1) into -1 8.289 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.289 * [backup-simplify]: Simplify (* 0 -1) into 0 8.290 * [backup-simplify]: Simplify (* -1 0) into 0 8.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.291 * [backup-simplify]: Simplify (- 0) into 0 8.291 * [backup-simplify]: Simplify (+ 1 0) into 1 8.297 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 8.298 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 8.298 * [backup-simplify]: Simplify (log 1) into 0 8.298 * [backup-simplify]: Simplify 0 into 0 8.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.299 * [backup-simplify]: Simplify (- 0) into 0 8.299 * [backup-simplify]: Simplify (+ 0 0) into 0 8.300 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 8.300 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 8.301 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 8.301 * [backup-simplify]: Simplify -1 into -1 8.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.302 * [backup-simplify]: Simplify (- 0) into 0 8.302 * [backup-simplify]: Simplify (+ 0 0) into 0 8.303 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 8.304 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 8.305 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 8.305 * [backup-simplify]: Simplify -1/2 into -1/2 8.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.306 * [backup-simplify]: Simplify (- 0) into 0 8.306 * [backup-simplify]: Simplify (+ 0 0) into 0 8.307 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 8.308 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 8.311 * [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 8.311 * [backup-simplify]: Simplify -1/3 into -1/3 8.311 * [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)))) 8.311 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 8.311 * [backup-simplify]: Simplify (/ (+ N 1) N) into (/ (+ N 1) N) 8.311 * [approximate]: Taking taylor expansion of (/ (+ N 1) N) in (N) around 0 8.311 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 8.311 * [taylor]: Taking taylor expansion of (+ N 1) in N 8.311 * [taylor]: Taking taylor expansion of N in N 8.311 * [backup-simplify]: Simplify 0 into 0 8.311 * [backup-simplify]: Simplify 1 into 1 8.311 * [taylor]: Taking taylor expansion of 1 in N 8.311 * [backup-simplify]: Simplify 1 into 1 8.311 * [taylor]: Taking taylor expansion of N in N 8.311 * [backup-simplify]: Simplify 0 into 0 8.312 * [backup-simplify]: Simplify 1 into 1 8.312 * [backup-simplify]: Simplify (+ 0 1) into 1 8.312 * [backup-simplify]: Simplify (/ 1 1) into 1 8.312 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 8.312 * [taylor]: Taking taylor expansion of (+ N 1) in N 8.312 * [taylor]: Taking taylor expansion of N in N 8.312 * [backup-simplify]: Simplify 0 into 0 8.312 * [backup-simplify]: Simplify 1 into 1 8.312 * [taylor]: Taking taylor expansion of 1 in N 8.312 * [backup-simplify]: Simplify 1 into 1 8.312 * [taylor]: Taking taylor expansion of N in N 8.312 * [backup-simplify]: Simplify 0 into 0 8.312 * [backup-simplify]: Simplify 1 into 1 8.312 * [backup-simplify]: Simplify (+ 0 1) into 1 8.313 * [backup-simplify]: Simplify (/ 1 1) into 1 8.313 * [backup-simplify]: Simplify 1 into 1 8.313 * [backup-simplify]: Simplify (+ 1 0) into 1 8.314 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 8.314 * [backup-simplify]: Simplify 1 into 1 8.314 * [backup-simplify]: Simplify (+ 0 0) into 0 8.314 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 8.314 * [backup-simplify]: Simplify 0 into 0 8.315 * [backup-simplify]: Simplify (+ 0 0) into 0 8.315 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.315 * [backup-simplify]: Simplify 0 into 0 8.315 * [backup-simplify]: Simplify (+ 0 0) into 0 8.316 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.316 * [backup-simplify]: Simplify 0 into 0 8.316 * [backup-simplify]: Simplify (+ 0 0) into 0 8.317 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.317 * [backup-simplify]: Simplify 0 into 0 8.317 * [backup-simplify]: Simplify (+ 0 0) into 0 8.318 * [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 8.318 * [backup-simplify]: Simplify 0 into 0 8.318 * [backup-simplify]: Simplify (+ 0 0) into 0 8.318 * [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 8.318 * [backup-simplify]: Simplify 0 into 0 8.319 * [backup-simplify]: Simplify (+ 1 (* 1 (/ 1 N))) into (+ (/ 1 N) 1) 8.319 * [backup-simplify]: Simplify (/ (+ (/ 1 N) 1) (/ 1 N)) into (* N (+ (/ 1 N) 1)) 8.319 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in (N) around 0 8.319 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 8.319 * [taylor]: Taking taylor expansion of N in N 8.319 * [backup-simplify]: Simplify 0 into 0 8.319 * [backup-simplify]: Simplify 1 into 1 8.319 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 8.319 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.319 * [taylor]: Taking taylor expansion of N in N 8.319 * [backup-simplify]: Simplify 0 into 0 8.319 * [backup-simplify]: Simplify 1 into 1 8.319 * [backup-simplify]: Simplify (/ 1 1) into 1 8.319 * [taylor]: Taking taylor expansion of 1 in N 8.319 * [backup-simplify]: Simplify 1 into 1 8.319 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 8.319 * [taylor]: Taking taylor expansion of N in N 8.319 * [backup-simplify]: Simplify 0 into 0 8.319 * [backup-simplify]: Simplify 1 into 1 8.319 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 8.319 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.319 * [taylor]: Taking taylor expansion of N in N 8.319 * [backup-simplify]: Simplify 0 into 0 8.319 * [backup-simplify]: Simplify 1 into 1 8.319 * [backup-simplify]: Simplify (/ 1 1) into 1 8.319 * [taylor]: Taking taylor expansion of 1 in N 8.319 * [backup-simplify]: Simplify 1 into 1 8.320 * [backup-simplify]: Simplify (+ 1 0) into 1 8.320 * [backup-simplify]: Simplify (* 0 1) into 0 8.320 * [backup-simplify]: Simplify 0 into 0 8.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.321 * [backup-simplify]: Simplify (+ 0 1) into 1 8.321 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 8.321 * [backup-simplify]: Simplify 1 into 1 8.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.322 * [backup-simplify]: Simplify (+ 0 0) into 0 8.323 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 8.323 * [backup-simplify]: Simplify 1 into 1 8.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.323 * [backup-simplify]: Simplify (+ 0 0) into 0 8.324 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 8.324 * [backup-simplify]: Simplify 0 into 0 8.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.326 * [backup-simplify]: Simplify (+ 0 0) into 0 8.327 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 8.327 * [backup-simplify]: Simplify 0 into 0 8.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.328 * [backup-simplify]: Simplify (+ 0 0) into 0 8.329 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))) into 0 8.329 * [backup-simplify]: Simplify 0 into 0 8.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.331 * [backup-simplify]: Simplify (+ 0 0) into 0 8.332 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))) into 0 8.332 * [backup-simplify]: Simplify 0 into 0 8.333 * [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 8.334 * [backup-simplify]: Simplify (+ 0 0) into 0 8.335 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))))) into 0 8.335 * [backup-simplify]: Simplify 0 into 0 8.336 * [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 8.337 * [backup-simplify]: Simplify (+ 0 0) into 0 8.338 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))))) into 0 8.339 * [backup-simplify]: Simplify 0 into 0 8.339 * [backup-simplify]: Simplify (+ (* 1 (/ 1 N)) 1) into (+ (/ 1 N) 1) 8.339 * [backup-simplify]: Simplify (/ (+ (/ 1 (- N)) 1) (/ 1 (- N))) into (* -1 (* N (- 1 (/ 1 N)))) 8.339 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in (N) around 0 8.339 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 8.339 * [taylor]: Taking taylor expansion of -1 in N 8.339 * [backup-simplify]: Simplify -1 into -1 8.339 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 8.339 * [taylor]: Taking taylor expansion of N in N 8.339 * [backup-simplify]: Simplify 0 into 0 8.339 * [backup-simplify]: Simplify 1 into 1 8.339 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 8.339 * [taylor]: Taking taylor expansion of 1 in N 8.339 * [backup-simplify]: Simplify 1 into 1 8.339 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.339 * [taylor]: Taking taylor expansion of N in N 8.339 * [backup-simplify]: Simplify 0 into 0 8.339 * [backup-simplify]: Simplify 1 into 1 8.340 * [backup-simplify]: Simplify (/ 1 1) into 1 8.340 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 8.340 * [taylor]: Taking taylor expansion of -1 in N 8.340 * [backup-simplify]: Simplify -1 into -1 8.340 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 8.340 * [taylor]: Taking taylor expansion of N in N 8.340 * [backup-simplify]: Simplify 0 into 0 8.340 * [backup-simplify]: Simplify 1 into 1 8.340 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 8.340 * [taylor]: Taking taylor expansion of 1 in N 8.340 * [backup-simplify]: Simplify 1 into 1 8.340 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.340 * [taylor]: Taking taylor expansion of N in N 8.340 * [backup-simplify]: Simplify 0 into 0 8.340 * [backup-simplify]: Simplify 1 into 1 8.340 * [backup-simplify]: Simplify (/ 1 1) into 1 8.341 * [backup-simplify]: Simplify (- 1) into -1 8.341 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.342 * [backup-simplify]: Simplify (* 0 -1) into 0 8.342 * [backup-simplify]: Simplify (* -1 0) into 0 8.342 * [backup-simplify]: Simplify 0 into 0 8.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.343 * [backup-simplify]: Simplify (- 0) into 0 8.344 * [backup-simplify]: Simplify (+ 1 0) into 1 8.344 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 8.345 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 8.345 * [backup-simplify]: Simplify 1 into 1 8.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.346 * [backup-simplify]: Simplify (- 0) into 0 8.347 * [backup-simplify]: Simplify (+ 0 0) into 0 8.348 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 8.349 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 8.349 * [backup-simplify]: Simplify -1 into -1 8.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.350 * [backup-simplify]: Simplify (- 0) into 0 8.351 * [backup-simplify]: Simplify (+ 0 0) into 0 8.352 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 8.353 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 8.353 * [backup-simplify]: Simplify 0 into 0 8.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.355 * [backup-simplify]: Simplify (- 0) into 0 8.355 * [backup-simplify]: Simplify (+ 0 0) into 0 8.356 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 8.358 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 8.358 * [backup-simplify]: Simplify 0 into 0 8.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.359 * [backup-simplify]: Simplify (- 0) into 0 8.360 * [backup-simplify]: Simplify (+ 0 0) into 0 8.361 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 8.363 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))) into 0 8.363 * [backup-simplify]: Simplify 0 into 0 8.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.364 * [backup-simplify]: Simplify (- 0) into 0 8.365 * [backup-simplify]: Simplify (+ 0 0) into 0 8.367 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 8.368 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))) into 0 8.368 * [backup-simplify]: Simplify 0 into 0 8.369 * [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 8.370 * [backup-simplify]: Simplify (- 0) into 0 8.370 * [backup-simplify]: Simplify (+ 0 0) into 0 8.372 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 8.374 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))))) into 0 8.374 * [backup-simplify]: Simplify 0 into 0 8.375 * [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 8.376 * [backup-simplify]: Simplify (- 0) into 0 8.376 * [backup-simplify]: Simplify (+ 0 0) into 0 8.378 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))))) into 0 8.380 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))))) into 0 8.380 * [backup-simplify]: Simplify 0 into 0 8.381 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (- N))) 1) into (+ (/ 1 N) 1) 8.381 * * * [progress]: simplifying candidates 8.381 * * * * [progress]: [ 1 / 72 ] simplifiying candidate # 8.381 * * * * [progress]: [ 2 / 72 ] simplifiying candidate # 8.381 * * * * [progress]: [ 3 / 72 ] simplifiying candidate # 8.381 * * * * [progress]: [ 4 / 72 ] simplifiying candidate # 8.381 * * * * [progress]: [ 5 / 72 ] simplifiying candidate # 8.381 * * * * [progress]: [ 6 / 72 ] simplifiying candidate # 8.381 * * * * [progress]: [ 7 / 72 ] simplifiying candidate # 8.381 * * * * [progress]: [ 8 / 72 ] simplifiying candidate # 8.381 * * * * [progress]: [ 9 / 72 ] simplifiying candidate # 8.381 * * * * [progress]: [ 10 / 72 ] simplifiying candidate # 8.381 * * * * [progress]: [ 11 / 72 ] simplifiying candidate # 8.381 * * * * [progress]: [ 12 / 72 ] simplifiying candidate # 8.381 * * * * [progress]: [ 13 / 72 ] simplifiying candidate # 8.382 * * * * [progress]: [ 14 / 72 ] simplifiying candidate # 8.382 * * * * [progress]: [ 15 / 72 ] simplifiying candidate # 8.382 * * * * [progress]: [ 16 / 72 ] simplifiying candidate # 8.382 * * * * [progress]: [ 17 / 72 ] simplifiying candidate # 8.382 * * * * [progress]: [ 18 / 72 ] simplifiying candidate # 8.382 * * * * [progress]: [ 19 / 72 ] simplifiying candidate # 8.382 * * * * [progress]: [ 20 / 72 ] simplifiying candidate # 8.382 * * * * [progress]: [ 21 / 72 ] simplifiying candidate # 8.382 * * * * [progress]: [ 22 / 72 ] simplifiying candidate # 8.382 * * * * [progress]: [ 23 / 72 ] simplifiying candidate # 8.382 * * * * [progress]: [ 24 / 72 ] simplifiying candidate # 8.382 * * * * [progress]: [ 25 / 72 ] simplifiying candidate # 8.382 * * * * [progress]: [ 26 / 72 ] simplifiying candidate # 8.382 * * * * [progress]: [ 27 / 72 ] simplifiying candidate # 8.382 * * * * [progress]: [ 28 / 72 ] simplifiying candidate # 8.382 * * * * [progress]: [ 29 / 72 ] simplifiying candidate # 8.382 * * * * [progress]: [ 30 / 72 ] simplifiying candidate #real (real->posit16 (log (/ (+ N 1) N)))))> 8.382 * * * * [progress]: [ 31 / 72 ] simplifiying candidate # 8.382 * * * * [progress]: [ 32 / 72 ] simplifiying candidate # 8.382 * * * * [progress]: [ 33 / 72 ] simplifiying candidate # 8.383 * * * * [progress]: [ 34 / 72 ] simplifiying candidate # 8.383 * * * * [progress]: [ 35 / 72 ] simplifiying candidate # 8.383 * * * * [progress]: [ 36 / 72 ] simplifiying candidate # 8.383 * * * * [progress]: [ 37 / 72 ] simplifiying candidate # 8.383 * * * * [progress]: [ 38 / 72 ] simplifiying candidate # 8.383 * * * * [progress]: [ 39 / 72 ] simplifiying candidate # 8.383 * * * * [progress]: [ 40 / 72 ] simplifiying candidate # 8.383 * * * * [progress]: [ 41 / 72 ] simplifiying candidate # 8.383 * * * * [progress]: [ 42 / 72 ] simplifiying candidate # 8.383 * * * * [progress]: [ 43 / 72 ] simplifiying candidate # 8.383 * * * * [progress]: [ 44 / 72 ] simplifiying candidate # 8.383 * * * * [progress]: [ 45 / 72 ] simplifiying candidate # 8.383 * * * * [progress]: [ 46 / 72 ] simplifiying candidate # 8.383 * * * * [progress]: [ 47 / 72 ] simplifiying candidate # 8.383 * * * * [progress]: [ 48 / 72 ] simplifiying candidate # 8.383 * * * * [progress]: [ 49 / 72 ] simplifiying candidate # 8.383 * * * * [progress]: [ 50 / 72 ] simplifiying candidate # 8.383 * * * * [progress]: [ 51 / 72 ] simplifiying candidate # 8.383 * * * * [progress]: [ 52 / 72 ] simplifiying candidate # 8.384 * * * * [progress]: [ 53 / 72 ] simplifiying candidate # 8.384 * * * * [progress]: [ 54 / 72 ] simplifiying candidate # 8.384 * * * * [progress]: [ 55 / 72 ] simplifiying candidate # 8.384 * * * * [progress]: [ 56 / 72 ] simplifiying candidate # 8.384 * * * * [progress]: [ 57 / 72 ] simplifiying candidate # 8.384 * * * * [progress]: [ 58 / 72 ] simplifiying candidate # 8.384 * * * * [progress]: [ 59 / 72 ] simplifiying candidate # 8.384 * * * * [progress]: [ 60 / 72 ] simplifiying candidate # 8.384 * * * * [progress]: [ 61 / 72 ] simplifiying candidate # 8.384 * * * * [progress]: [ 62 / 72 ] simplifiying candidate # 8.384 * * * * [progress]: [ 63 / 72 ] simplifiying candidate # 8.384 * * * * [progress]: [ 64 / 72 ] simplifiying candidate # 8.384 * * * * [progress]: [ 65 / 72 ] simplifiying candidate # 8.384 * * * * [progress]: [ 66 / 72 ] simplifiying candidate #real (real->posit16 (/ (+ N 1) N)))))> 8.384 * * * * [progress]: [ 67 / 72 ] simplifiying candidate # 8.384 * * * * [progress]: [ 68 / 72 ] simplifiying candidate # 8.384 * * * * [progress]: [ 69 / 72 ] simplifiying candidate # 8.384 * * * * [progress]: [ 70 / 72 ] simplifiying candidate # 8.385 * * * * [progress]: [ 71 / 72 ] simplifiying candidate # 8.385 * * * * [progress]: [ 72 / 72 ] simplifiying candidate # 8.386 * [simplify]: Simplifying: (expm1 (log (/ (+ N 1) N))) (log1p (log (/ (+ N 1) N))) (log (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N)))) (log (cbrt (/ (+ N 1) N))) (log (sqrt (/ (+ N 1) N))) (log (sqrt (/ (+ N 1) N))) (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt N) (cbrt N)))) (log (/ (cbrt (+ N 1)) (cbrt N))) (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N))) (log (/ (cbrt (+ N 1)) (sqrt N))) (log (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) 1)) (log (/ (cbrt (+ N 1)) N)) (log (/ (sqrt (+ N 1)) (* (cbrt N) (cbrt N)))) (log (/ (sqrt (+ N 1)) (cbrt N))) (log (/ (sqrt (+ N 1)) (sqrt N))) (log (/ (sqrt (+ N 1)) (sqrt N))) (log (/ (sqrt (+ N 1)) 1)) (log (/ (sqrt (+ N 1)) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1) N)) (log (/ 1 (* (cbrt N) (cbrt N)))) (log (/ (+ N 1) (cbrt N))) (log (/ 1 (sqrt N))) (log (/ (+ N 1) (sqrt N))) (log (/ 1 1)) (log (/ (+ N 1) N)) (log 1) (log (/ (+ N 1) N)) (log (+ N 1)) (log (/ 1 N)) (log (+ N 1)) (log N) (log (/ (+ N 1) N)) (log (log (/ (+ N 1) N))) (exp (log (/ (+ N 1) N))) (* (cbrt (log (/ (+ N 1) N))) (cbrt (log (/ (+ N 1) N)))) (cbrt (log (/ (+ N 1) N))) (* (* (log (/ (+ N 1) N)) (log (/ (+ N 1) N))) (log (/ (+ N 1) N))) (sqrt (log (/ (+ N 1) N))) (sqrt (log (/ (+ N 1) N))) (real->posit16 (log (/ (+ N 1) N))) (expm1 (/ (+ N 1) N)) (log1p (/ (+ N 1) N)) (- (log (+ N 1)) (log N)) (log (/ (+ N 1) N)) (exp (/ (+ N 1) N)) (/ (* (* (+ N 1) (+ N 1)) (+ N 1)) (* (* N N) N)) (* (cbrt (/ (+ N 1) N)) (cbrt (/ (+ N 1) N))) (cbrt (/ (+ N 1) N)) (* (* (/ (+ N 1) N) (/ (+ N 1) N)) (/ (+ N 1) N)) (sqrt (/ (+ N 1) N)) (sqrt (/ (+ N 1) N)) (- (+ N 1)) (- N) (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (* (cbrt N) (cbrt N))) (/ (cbrt (+ N 1)) (cbrt N)) (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) (sqrt N)) (/ (cbrt (+ N 1)) (sqrt N)) (/ (* (cbrt (+ N 1)) (cbrt (+ N 1))) 1) (/ (cbrt (+ N 1)) N) (/ (sqrt (+ N 1)) (* (cbrt N) (cbrt N))) (/ (sqrt (+ N 1)) (cbrt N)) (/ (sqrt (+ N 1)) (sqrt N)) (/ (sqrt (+ N 1)) (sqrt N)) (/ (sqrt (+ N 1)) 1) (/ (sqrt (+ N 1)) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1) (sqrt N)) (/ 1 1) (/ (+ N 1) N) (/ 1 (* (cbrt N) (cbrt N))) (/ (+ N 1) (cbrt N)) (/ 1 (sqrt N)) (/ (+ N 1) (sqrt N)) (/ 1 1) (/ (+ N 1) N) (/ 1 N) (/ N (+ N 1)) (/ (+ N 1) (* (cbrt N) (cbrt N))) (/ (+ N 1) (sqrt N)) (/ (+ N 1) 1) (/ N (cbrt (+ N 1))) (/ N (sqrt (+ N 1))) (/ N (+ N 1)) (/ N (+ N 1)) (* N (+ (* N N) (- (* 1 1) (* N 1)))) (* N (- N 1)) (real->posit16 (/ (+ N 1) 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) 8.388 * * [simplify]: iteration 0: 106 enodes 8.444 * * [simplify]: iteration 1: 242 enodes 8.524 * * [simplify]: iteration 2: 665 enodes 8.717 * * [simplify]: iteration 3: 2001 enodes 9.161 * * [simplify]: iteration complete: 2001 enodes 9.161 * * [simplify]: Extracting #0: cost 70 inf + 0 9.163 * * [simplify]: Extracting #1: cost 313 inf + 2 9.165 * * [simplify]: Extracting #2: cost 788 inf + 254 9.172 * * [simplify]: Extracting #3: cost 452 inf + 33236 9.195 * * [simplify]: Extracting #4: cost 116 inf + 87503 9.223 * * [simplify]: Extracting #5: cost 7 inf + 117040 9.241 * * [simplify]: Extracting #6: cost 0 inf + 118870 9.260 * [simplify]: Simplified to: (expm1 (log (/ (+ 1 N) N))) (log1p (log (/ (+ 1 N) N))) (+ (log (cbrt (/ (+ 1 N) N))) (log (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)) (/ (cbrt (+ 1 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))) (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))) (- (log (cbrt N)))) (log (/ (+ 1 N) (cbrt N))) (- (log (sqrt N))) (log (/ (+ 1 N) (sqrt N))) 0 (log (/ (+ 1 N) N)) (+ (- (log (cbrt N))) (- (log (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)) (cbrt (+ 1 N))) (sqrt 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 1) N) N) (* (+ N -1) N) (real->posit16 (/ (+ 1 N) N)) (- N (fma (* N N) 1/2 (log N))) (+ (/ -1/2 (* N N)) (fma (/ 1/3 (* N N)) (/ 1 N) (/ 1 N))) (+ (/ -1/2 (* N N)) (fma (/ 1/3 (* N N)) (/ 1 N) (/ 1 N))) (+ 1 (/ 1 N)) (+ 1 (/ 1 N)) (+ 1 (/ 1 N)) 9.263 * * * [progress]: adding candidates to table 9.772 * [progress]: [Phase 3 of 3] Extracting. 9.772 * * [regime]: Finding splitpoints for: (# # # # # #) 9.773 * * * [regime-changes]: Trying 1 branch expressions: (N) 9.773 * * * * [regimes]: Trying to branch on N from (# # # # # #) 9.818 * * * [regime]: Found split indices: #