19.326 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.098 * * * [progress]: [2/2] Setting up program. 0.100 * [progress]: [Phase 2 of 3] Improving. 0.100 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.100 * [simplify]: Simplifying: (- (log (+ N 1)) (log N)) 0.100 * * [simplify]: iteration 0: 6 enodes 0.101 * * [simplify]: iteration 1: 11 enodes 0.103 * * [simplify]: iteration 2: 13 enodes 0.104 * * [simplify]: iteration complete: 13 enodes 0.104 * * [simplify]: Extracting #0: cost 1 inf + 0 0.104 * * [simplify]: Extracting #1: cost 4 inf + 0 0.104 * * [simplify]: Extracting #2: cost 6 inf + 0 0.104 * * [simplify]: Extracting #3: cost 2 inf + 475 0.104 * * [simplify]: Extracting #4: cost 0 inf + 518 0.104 * [simplify]: Simplified to: (- (log1p N) (log N)) 0.107 * * [progress]: iteration 1 / 4 0.108 * * * [progress]: picking best candidate 0.109 * * * * [pick]: Picked # 0.110 * * * [progress]: localizing error 0.132 * * * [progress]: generating rewritten candidates 0.132 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.146 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.150 * * * [progress]: generating series expansions 0.150 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.150 * [backup-simplify]: Simplify (- (log (+ N 1)) (log N)) into (- (log (+ N 1)) (log N)) 0.150 * [approximate]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in (N) around 0 0.150 * [taylor]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N 0.150 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.150 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.150 * [taylor]: Taking taylor expansion of N in N 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify 1 into 1 0.150 * [taylor]: Taking taylor expansion of 1 in N 0.150 * [backup-simplify]: Simplify 1 into 1 0.151 * [backup-simplify]: Simplify (+ 0 1) into 1 0.151 * [backup-simplify]: Simplify (log 1) into 0 0.151 * [taylor]: Taking taylor expansion of (log N) in N 0.151 * [taylor]: Taking taylor expansion of N in N 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 1 into 1 0.151 * [backup-simplify]: Simplify (log 1) into 0 0.151 * [taylor]: Taking taylor expansion of (- (log (+ N 1)) (log N)) in N 0.151 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.151 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.151 * [taylor]: Taking taylor expansion of N in N 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 1 into 1 0.151 * [taylor]: Taking taylor expansion of 1 in N 0.151 * [backup-simplify]: Simplify 1 into 1 0.152 * [backup-simplify]: Simplify (+ 0 1) into 1 0.152 * [backup-simplify]: Simplify (log 1) into 0 0.152 * [taylor]: Taking taylor expansion of (log N) in N 0.152 * [taylor]: Taking taylor expansion of N in N 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify 1 into 1 0.152 * [backup-simplify]: Simplify (log 1) into 0 0.153 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.153 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.153 * [backup-simplify]: Simplify (+ 0 (- (log N))) into (- (log N)) 0.153 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.153 * [backup-simplify]: Simplify (+ 1 0) into 1 0.154 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.155 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.155 * [backup-simplify]: Simplify (- 0) into 0 0.155 * [backup-simplify]: Simplify (+ 1 0) into 1 0.155 * [backup-simplify]: Simplify 1 into 1 0.155 * [backup-simplify]: Simplify (+ 0 0) into 0 0.157 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.158 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.159 * [backup-simplify]: Simplify (- 0) into 0 0.159 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.159 * [backup-simplify]: Simplify -1/2 into -1/2 0.159 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 0.159 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) 0.159 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in (N) around 0 0.159 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N 0.159 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.159 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.159 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.159 * [taylor]: Taking taylor expansion of N in N 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify 1 into 1 0.160 * [backup-simplify]: Simplify (/ 1 1) into 1 0.160 * [taylor]: Taking taylor expansion of 1 in N 0.160 * [backup-simplify]: Simplify 1 into 1 0.160 * [backup-simplify]: Simplify (+ 1 0) into 1 0.160 * [backup-simplify]: Simplify (log 1) into 0 0.160 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.160 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.160 * [taylor]: Taking taylor expansion of N in N 0.160 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify 1 into 1 0.161 * [backup-simplify]: Simplify (/ 1 1) into 1 0.161 * [backup-simplify]: Simplify (log 1) into 0 0.161 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1)) (log (/ 1 N))) in N 0.161 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.161 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.161 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.161 * [taylor]: Taking taylor expansion of N in N 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify 1 into 1 0.161 * [backup-simplify]: Simplify (/ 1 1) into 1 0.161 * [taylor]: Taking taylor expansion of 1 in N 0.161 * [backup-simplify]: Simplify 1 into 1 0.161 * [backup-simplify]: Simplify (+ 1 0) into 1 0.162 * [backup-simplify]: Simplify (log 1) into 0 0.162 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.162 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.162 * [taylor]: Taking taylor expansion of N in N 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify 1 into 1 0.162 * [backup-simplify]: Simplify (/ 1 1) into 1 0.162 * [backup-simplify]: Simplify (log 1) into 0 0.163 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.163 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.163 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.163 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.163 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.164 * [backup-simplify]: Simplify (+ 0 1) into 1 0.165 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.167 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.167 * [backup-simplify]: Simplify (- 0) into 0 0.167 * [backup-simplify]: Simplify (+ 1 0) into 1 0.167 * [backup-simplify]: Simplify 1 into 1 0.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.168 * [backup-simplify]: Simplify (+ 0 0) into 0 0.170 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.172 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.172 * [backup-simplify]: Simplify (- 0) into 0 0.172 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.172 * [backup-simplify]: Simplify -1/2 into -1/2 0.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.173 * [backup-simplify]: Simplify (+ 0 0) into 0 0.176 * [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 0.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.179 * [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 0.179 * [backup-simplify]: Simplify (- 0) into 0 0.180 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 0.180 * [backup-simplify]: Simplify 1/3 into 1/3 0.180 * [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)))) 0.180 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1)) (log (/ 1 (- N)))) into (- (log (- 1 (/ 1 N))) (log (/ -1 N))) 0.180 * [approximate]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.180 * [taylor]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in N 0.180 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.180 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.180 * [taylor]: Taking taylor expansion of 1 in N 0.180 * [backup-simplify]: Simplify 1 into 1 0.180 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.180 * [taylor]: Taking taylor expansion of N in N 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify 1 into 1 0.180 * [backup-simplify]: Simplify (/ 1 1) into 1 0.181 * [backup-simplify]: Simplify (- 1) into -1 0.186 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.187 * [backup-simplify]: Simplify (log -1) into (log -1) 0.187 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.187 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.187 * [taylor]: Taking taylor expansion of -1 in N 0.187 * [backup-simplify]: Simplify -1 into -1 0.187 * [taylor]: Taking taylor expansion of N in N 0.187 * [backup-simplify]: Simplify 0 into 0 0.187 * [backup-simplify]: Simplify 1 into 1 0.187 * [backup-simplify]: Simplify (/ -1 1) into -1 0.187 * [backup-simplify]: Simplify (log -1) into (log -1) 0.187 * [taylor]: Taking taylor expansion of (- (log (- 1 (/ 1 N))) (log (/ -1 N))) in N 0.187 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.187 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.187 * [taylor]: Taking taylor expansion of 1 in N 0.187 * [backup-simplify]: Simplify 1 into 1 0.187 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.187 * [taylor]: Taking taylor expansion of N in N 0.187 * [backup-simplify]: Simplify 0 into 0 0.187 * [backup-simplify]: Simplify 1 into 1 0.188 * [backup-simplify]: Simplify (/ 1 1) into 1 0.188 * [backup-simplify]: Simplify (- 1) into -1 0.188 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.189 * [backup-simplify]: Simplify (log -1) into (log -1) 0.189 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.189 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.189 * [taylor]: Taking taylor expansion of -1 in N 0.189 * [backup-simplify]: Simplify -1 into -1 0.189 * [taylor]: Taking taylor expansion of N in N 0.189 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify 1 into 1 0.189 * [backup-simplify]: Simplify (/ -1 1) into -1 0.190 * [backup-simplify]: Simplify (log -1) into (log -1) 0.191 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.192 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.192 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.193 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.193 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.194 * [backup-simplify]: Simplify (- 0) into 0 0.194 * [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 (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.198 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.198 * [backup-simplify]: Simplify (- 0) into 0 0.199 * [backup-simplify]: Simplify (+ -1 0) into -1 0.199 * [backup-simplify]: Simplify -1 into -1 0.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.200 * [backup-simplify]: Simplify (- 0) into 0 0.200 * [backup-simplify]: Simplify (+ 0 0) into 0 0.203 * [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 (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.207 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.207 * [backup-simplify]: Simplify (- 0) into 0 0.208 * [backup-simplify]: Simplify (+ -1/2 0) into -1/2 0.208 * [backup-simplify]: Simplify -1/2 into -1/2 0.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.209 * [backup-simplify]: Simplify (- 0) into 0 0.210 * [backup-simplify]: Simplify (+ 0 0) into 0 0.215 * [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 0.217 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.223 * [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 0.223 * [backup-simplify]: Simplify (- 0) into 0 0.224 * [backup-simplify]: Simplify (+ -1/3 0) into -1/3 0.224 * [backup-simplify]: Simplify -1/3 into -1/3 0.224 * [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)))) 0.224 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.224 * [backup-simplify]: Simplify (log (+ N 1)) into (log (+ N 1)) 0.225 * [approximate]: Taking taylor expansion of (log (+ N 1)) in (N) around 0 0.225 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.225 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.225 * [taylor]: Taking taylor expansion of N in N 0.225 * [backup-simplify]: Simplify 0 into 0 0.225 * [backup-simplify]: Simplify 1 into 1 0.225 * [taylor]: Taking taylor expansion of 1 in N 0.225 * [backup-simplify]: Simplify 1 into 1 0.225 * [backup-simplify]: Simplify (+ 0 1) into 1 0.226 * [backup-simplify]: Simplify (log 1) into 0 0.226 * [taylor]: Taking taylor expansion of (log (+ N 1)) in N 0.226 * [taylor]: Taking taylor expansion of (+ N 1) in N 0.226 * [taylor]: Taking taylor expansion of N in N 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify 1 into 1 0.226 * [taylor]: Taking taylor expansion of 1 in N 0.226 * [backup-simplify]: Simplify 1 into 1 0.226 * [backup-simplify]: Simplify (+ 0 1) into 1 0.227 * [backup-simplify]: Simplify (log 1) into 0 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify (+ 1 0) into 1 0.229 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.229 * [backup-simplify]: Simplify 1 into 1 0.229 * [backup-simplify]: Simplify (+ 0 0) into 0 0.232 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.232 * [backup-simplify]: Simplify -1/2 into -1/2 0.233 * [backup-simplify]: Simplify (+ 0 0) into 0 0.237 * [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 0.237 * [backup-simplify]: Simplify 1/3 into 1/3 0.237 * [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))) 0.238 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1)) into (log (+ (/ 1 N) 1)) 0.238 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 0.238 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.238 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 0.238 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.238 * [taylor]: Taking taylor expansion of N in N 0.238 * [backup-simplify]: Simplify 0 into 0 0.238 * [backup-simplify]: Simplify 1 into 1 0.238 * [backup-simplify]: Simplify (/ 1 1) into 1 0.238 * [taylor]: Taking taylor expansion of 1 in N 0.238 * [backup-simplify]: Simplify 1 into 1 0.239 * [backup-simplify]: Simplify (+ 1 0) into 1 0.239 * [backup-simplify]: Simplify (log 1) into 0 0.239 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N 0.239 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 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 0.240 * [backup-simplify]: Simplify (/ 1 1) into 1 0.240 * [taylor]: Taking taylor expansion of 1 in N 0.240 * [backup-simplify]: Simplify 1 into 1 0.240 * [backup-simplify]: Simplify (+ 1 0) into 1 0.240 * [backup-simplify]: Simplify (log 1) into 0 0.241 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.241 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.242 * [backup-simplify]: Simplify (+ 0 1) into 1 0.242 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 0.243 * [backup-simplify]: Simplify 1 into 1 0.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.243 * [backup-simplify]: Simplify (+ 0 0) into 0 0.245 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 0.245 * [backup-simplify]: Simplify -1/2 into -1/2 0.245 * [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)))) 0.245 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1)) into (log (- 1 (/ 1 N))) 0.246 * [approximate]: Taking taylor expansion of (log (- 1 (/ 1 N))) in (N) around 0 0.246 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.246 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.246 * [taylor]: Taking taylor expansion of 1 in N 0.246 * [backup-simplify]: Simplify 1 into 1 0.246 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.246 * [taylor]: Taking taylor expansion of N in N 0.246 * [backup-simplify]: Simplify 0 into 0 0.246 * [backup-simplify]: Simplify 1 into 1 0.246 * [backup-simplify]: Simplify (/ 1 1) into 1 0.246 * [backup-simplify]: Simplify (- 1) into -1 0.247 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.247 * [backup-simplify]: Simplify (log -1) into (log -1) 0.247 * [taylor]: Taking taylor expansion of (log (- 1 (/ 1 N))) in N 0.247 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 0.247 * [taylor]: Taking taylor expansion of 1 in N 0.247 * [backup-simplify]: Simplify 1 into 1 0.247 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.247 * [taylor]: Taking taylor expansion of N in N 0.247 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify 1 into 1 0.247 * [backup-simplify]: Simplify (/ 1 1) into 1 0.247 * [backup-simplify]: Simplify (- 1) into -1 0.248 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.248 * [backup-simplify]: Simplify (log -1) into (log -1) 0.249 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.249 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.250 * [backup-simplify]: Simplify (- 0) into 0 0.250 * [backup-simplify]: Simplify (+ 1 0) into 1 0.251 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 0.251 * [backup-simplify]: Simplify -1 into -1 0.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.252 * [backup-simplify]: Simplify (- 0) into 0 0.252 * [backup-simplify]: Simplify (+ 0 0) into 0 0.253 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 0.253 * [backup-simplify]: Simplify -1/2 into -1/2 0.254 * [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)))) 0.254 * * * [progress]: simplifying candidates 0.254 * * * * [progress]: [ 1 / 73 ] simplifiying candidate # 0.254 * * * * [progress]: [ 2 / 73 ] simplifiying candidate # 0.254 * * * * [progress]: [ 3 / 73 ] simplifiying candidate # 0.254 * * * * [progress]: [ 4 / 73 ] simplifiying candidate # 0.254 * * * * [progress]: [ 5 / 73 ] simplifiying candidate # 0.254 * * * * [progress]: [ 6 / 73 ] simplifiying candidate # 0.254 * * * * [progress]: [ 7 / 73 ] simplifiying candidate # 0.254 * * * * [progress]: [ 8 / 73 ] simplifiying candidate # 0.254 * * * * [progress]: [ 9 / 73 ] simplifiying candidate # 0.254 * * * * [progress]: [ 10 / 73 ] simplifiying candidate # 0.254 * * * * [progress]: [ 11 / 73 ] simplifiying candidate # 0.254 * * * * [progress]: [ 12 / 73 ] simplifiying candidate # 0.254 * * * * [progress]: [ 13 / 73 ] simplifiying candidate # 0.255 * * * * [progress]: [ 14 / 73 ] simplifiying candidate # 0.255 * * * * [progress]: [ 15 / 73 ] simplifiying candidate # 0.255 * * * * [progress]: [ 16 / 73 ] simplifiying candidate # 0.255 * * * * [progress]: [ 17 / 73 ] simplifiying candidate # 0.255 * * * * [progress]: [ 18 / 73 ] simplifiying candidate # 0.255 * * * * [progress]: [ 19 / 73 ] simplifiying candidate # 0.255 * * * * [progress]: [ 20 / 73 ] simplifiying candidate # 0.255 * * * * [progress]: [ 21 / 73 ] simplifiying candidate # 0.255 * * * * [progress]: [ 22 / 73 ] simplifiying candidate # 0.255 * * * * [progress]: [ 23 / 73 ] simplifiying candidate # 0.255 * * * * [progress]: [ 24 / 73 ] simplifiying candidate # 0.255 * * * * [progress]: [ 25 / 73 ] simplifiying candidate # 0.255 * * * * [progress]: [ 26 / 73 ] simplifiying candidate # 0.255 * * * * [progress]: [ 27 / 73 ] simplifiying candidate # 0.255 * * * * [progress]: [ 28 / 73 ] simplifiying candidate # 0.255 * * * * [progress]: [ 29 / 73 ] simplifiying candidate # 0.255 * * * * [progress]: [ 30 / 73 ] simplifiying candidate # 0.255 * * * * [progress]: [ 31 / 73 ] simplifiying candidate # 0.255 * * * * [progress]: [ 32 / 73 ] simplifiying candidate # 0.255 * * * * [progress]: [ 33 / 73 ] simplifiying candidate # 0.255 * * * * [progress]: [ 34 / 73 ] simplifiying candidate # 0.255 * * * * [progress]: [ 35 / 73 ] simplifiying candidate # 0.255 * * * * [progress]: [ 36 / 73 ] simplifiying candidate # 0.255 * * * * [progress]: [ 37 / 73 ] simplifiying candidate # 0.255 * * * * [progress]: [ 38 / 73 ] simplifiying candidate # 0.255 * * * * [progress]: [ 39 / 73 ] simplifiying candidate # 0.255 * * * * [progress]: [ 40 / 73 ] simplifiying candidate # 0.255 * * * * [progress]: [ 41 / 73 ] simplifiying candidate # 0.256 * * * * [progress]: [ 42 / 73 ] simplifiying candidate # 0.256 * * * * [progress]: [ 43 / 73 ] simplifiying candidate # 0.256 * * * * [progress]: [ 44 / 73 ] simplifiying candidate # 0.256 * * * * [progress]: [ 45 / 73 ] simplifiying candidate # 0.256 * * * * [progress]: [ 46 / 73 ] simplifiying candidate # 0.256 * * * * [progress]: [ 47 / 73 ] simplifiying candidate # 0.256 * * * * [progress]: [ 48 / 73 ] simplifiying candidate # 0.256 * * * * [progress]: [ 49 / 73 ] simplifiying candidate #real (real->posit16 (- (log (+ N 1)) (log N)))))> 0.256 * * * * [progress]: [ 50 / 73 ] simplifiying candidate # 0.256 * * * * [progress]: [ 51 / 73 ] simplifiying candidate # 0.256 * * * * [progress]: [ 52 / 73 ] simplifiying candidate # 0.256 * * * * [progress]: [ 53 / 73 ] simplifiying candidate # 0.256 * * * * [progress]: [ 54 / 73 ] simplifiying candidate # 0.256 * * * * [progress]: [ 55 / 73 ] simplifiying candidate # 0.256 * * * * [progress]: [ 56 / 73 ] simplifiying candidate # 0.256 * * * * [progress]: [ 57 / 73 ] simplifiying candidate # 0.256 * * * * [progress]: [ 58 / 73 ] simplifiying candidate # 0.256 * * * * [progress]: [ 59 / 73 ] simplifiying candidate # 0.256 * * * * [progress]: [ 60 / 73 ] simplifiying candidate # 0.256 * * * * [progress]: [ 61 / 73 ] simplifiying candidate # 0.256 * * * * [progress]: [ 62 / 73 ] simplifiying candidate # 0.256 * * * * [progress]: [ 63 / 73 ] simplifiying candidate # 0.256 * * * * [progress]: [ 64 / 73 ] simplifiying candidate # 0.256 * * * * [progress]: [ 65 / 73 ] simplifiying candidate # 0.256 * * * * [progress]: [ 66 / 73 ] simplifiying candidate # 0.256 * * * * [progress]: [ 67 / 73 ] simplifiying candidate #real (real->posit16 (log (+ N 1)))) (log N)))> 0.256 * * * * [progress]: [ 68 / 73 ] simplifiying candidate # 0.257 * * * * [progress]: [ 69 / 73 ] simplifiying candidate # 0.257 * * * * [progress]: [ 70 / 73 ] simplifiying candidate # 0.257 * * * * [progress]: [ 71 / 73 ] simplifiying candidate # 0.257 * * * * [progress]: [ 72 / 73 ] simplifiying candidate # 0.257 * * * * [progress]: [ 73 / 73 ] simplifiying candidate # 0.257 * [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)))) 0.259 * * [simplify]: iteration 0: 123 enodes 0.292 * * [simplify]: iteration 1: 268 enodes 0.406 * * [simplify]: iteration 2: 622 enodes 0.699 * * [simplify]: iteration 3: 1955 enodes 1.033 * * [simplify]: iteration 4: 2009 enodes 1.362 * * [simplify]: iteration complete: 2009 enodes 1.362 * * [simplify]: Extracting #0: cost 48 inf + 0 1.363 * * [simplify]: Extracting #1: cost 236 inf + 2 1.365 * * [simplify]: Extracting #2: cost 462 inf + 6335 1.373 * * [simplify]: Extracting #3: cost 253 inf + 44242 1.390 * * [simplify]: Extracting #4: cost 26 inf + 104895 1.408 * * [simplify]: Extracting #5: cost 0 inf + 112580 1.431 * [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)))) 1.436 * * * [progress]: adding candidates to table 1.660 * * [progress]: iteration 2 / 4 1.660 * * * [progress]: picking best candidate 1.666 * * * * [pick]: Picked # 1.666 * * * [progress]: localizing error 1.688 * * * [progress]: generating rewritten candidates 1.688 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.689 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.695 * * * * [progress]: [ 3 / 4 ] rewriting at (2 3 2) 1.708 * * * * [progress]: [ 4 / 4 ] rewriting at (2 3) 1.752 * * * [progress]: generating series expansions 1.752 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.752 * [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))))) 1.752 * [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 1.752 * [taylor]: Taking taylor expansion of (fma (/ 1/3 (pow N 2)) (/ 1 N) (- (/ 1 N) (* 1/2 (/ 1 (pow N 2))))) in N 1.754 * [taylor]: Rewrote expression to (+ (* (/ 1/3 (pow N 2)) (/ 1 N)) (- (/ 1 N) (* 1/2 (/ 1 (pow N 2))))) 1.754 * [taylor]: Taking taylor expansion of (* (/ 1/3 (pow N 2)) (/ 1 N)) in N 1.754 * [taylor]: Taking taylor expansion of (/ 1/3 (pow N 2)) in N 1.754 * [taylor]: Taking taylor expansion of 1/3 in N 1.754 * [backup-simplify]: Simplify 1/3 into 1/3 1.754 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.754 * [taylor]: Taking taylor expansion of N in N 1.754 * [backup-simplify]: Simplify 0 into 0 1.754 * [backup-simplify]: Simplify 1 into 1 1.755 * [backup-simplify]: Simplify (* 1 1) into 1 1.755 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3 1.755 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.755 * [taylor]: Taking taylor expansion of N in N 1.756 * [backup-simplify]: Simplify 0 into 0 1.756 * [backup-simplify]: Simplify 1 into 1 1.756 * [backup-simplify]: Simplify (/ 1 1) into 1 1.756 * [taylor]: Taking taylor expansion of (- (/ 1 N) (* 1/2 (/ 1 (pow N 2)))) in N 1.756 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.756 * [taylor]: Taking taylor expansion of N in N 1.756 * [backup-simplify]: Simplify 0 into 0 1.756 * [backup-simplify]: Simplify 1 into 1 1.756 * [backup-simplify]: Simplify (/ 1 1) into 1 1.756 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow N 2))) in N 1.757 * [taylor]: Taking taylor expansion of 1/2 in N 1.757 * [backup-simplify]: Simplify 1/2 into 1/2 1.757 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.757 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.757 * [taylor]: Taking taylor expansion of N in N 1.757 * [backup-simplify]: Simplify 0 into 0 1.757 * [backup-simplify]: Simplify 1 into 1 1.757 * [backup-simplify]: Simplify (* 1 1) into 1 1.757 * [backup-simplify]: Simplify (/ 1 1) into 1 1.757 * [taylor]: Taking taylor expansion of (fma (/ 1/3 (pow N 2)) (/ 1 N) (- (/ 1 N) (* 1/2 (/ 1 (pow N 2))))) in N 1.758 * [taylor]: Rewrote expression to (+ (* (/ 1/3 (pow N 2)) (/ 1 N)) (- (/ 1 N) (* 1/2 (/ 1 (pow N 2))))) 1.758 * [taylor]: Taking taylor expansion of (* (/ 1/3 (pow N 2)) (/ 1 N)) in N 1.758 * [taylor]: Taking taylor expansion of (/ 1/3 (pow N 2)) in N 1.758 * [taylor]: Taking taylor expansion of 1/3 in N 1.758 * [backup-simplify]: Simplify 1/3 into 1/3 1.758 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.758 * [taylor]: Taking taylor expansion of N in N 1.758 * [backup-simplify]: Simplify 0 into 0 1.758 * [backup-simplify]: Simplify 1 into 1 1.758 * [backup-simplify]: Simplify (* 1 1) into 1 1.759 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3 1.759 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.759 * [taylor]: Taking taylor expansion of N in N 1.759 * [backup-simplify]: Simplify 0 into 0 1.759 * [backup-simplify]: Simplify 1 into 1 1.759 * [backup-simplify]: Simplify (/ 1 1) into 1 1.759 * [taylor]: Taking taylor expansion of (- (/ 1 N) (* 1/2 (/ 1 (pow N 2)))) in N 1.759 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.759 * [taylor]: Taking taylor expansion of N in N 1.759 * [backup-simplify]: Simplify 0 into 0 1.759 * [backup-simplify]: Simplify 1 into 1 1.760 * [backup-simplify]: Simplify (/ 1 1) into 1 1.760 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow N 2))) in N 1.760 * [taylor]: Taking taylor expansion of 1/2 in N 1.760 * [backup-simplify]: Simplify 1/2 into 1/2 1.760 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.760 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.760 * [taylor]: Taking taylor expansion of N in N 1.760 * [backup-simplify]: Simplify 0 into 0 1.760 * [backup-simplify]: Simplify 1 into 1 1.760 * [backup-simplify]: Simplify (* 1 1) into 1 1.760 * [backup-simplify]: Simplify (/ 1 1) into 1 1.761 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 1.761 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 1.761 * [backup-simplify]: Simplify 1/3 into 1/3 1.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.763 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.763 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 1.764 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 1.765 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.765 * [backup-simplify]: Simplify (- 1/2) into -1/2 1.765 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 1.766 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 1.766 * [backup-simplify]: Simplify -1/2 into -1/2 1.767 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.768 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.769 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.770 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 1.771 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.772 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.773 * [backup-simplify]: Simplify (- 0) into 0 1.773 * [backup-simplify]: Simplify (+ 1 0) into 1 1.774 * [backup-simplify]: Simplify (+ 0 1) into 1 1.774 * [backup-simplify]: Simplify 1 into 1 1.774 * [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)))) 1.775 * [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)))) 1.775 * [approximate]: Taking taylor expansion of (fma (* 1/3 (pow N 2)) N (- N (* 1/2 (pow N 2)))) in (N) around 0 1.775 * [taylor]: Taking taylor expansion of (fma (* 1/3 (pow N 2)) N (- N (* 1/2 (pow N 2)))) in N 1.775 * [taylor]: Rewrote expression to (+ (* (* 1/3 (pow N 2)) N) (- N (* 1/2 (pow N 2)))) 1.775 * [taylor]: Taking taylor expansion of (* (* 1/3 (pow N 2)) N) in N 1.775 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 2)) in N 1.775 * [taylor]: Taking taylor expansion of 1/3 in N 1.775 * [backup-simplify]: Simplify 1/3 into 1/3 1.775 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.775 * [taylor]: Taking taylor expansion of N in N 1.775 * [backup-simplify]: Simplify 0 into 0 1.775 * [backup-simplify]: Simplify 1 into 1 1.775 * [taylor]: Taking taylor expansion of N in N 1.775 * [backup-simplify]: Simplify 0 into 0 1.775 * [backup-simplify]: Simplify 1 into 1 1.775 * [taylor]: Taking taylor expansion of (- N (* 1/2 (pow N 2))) in N 1.775 * [taylor]: Taking taylor expansion of N in N 1.775 * [backup-simplify]: Simplify 0 into 0 1.775 * [backup-simplify]: Simplify 1 into 1 1.775 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 1.775 * [taylor]: Taking taylor expansion of 1/2 in N 1.775 * [backup-simplify]: Simplify 1/2 into 1/2 1.775 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.775 * [taylor]: Taking taylor expansion of N in N 1.775 * [backup-simplify]: Simplify 0 into 0 1.775 * [backup-simplify]: Simplify 1 into 1 1.775 * [taylor]: Taking taylor expansion of (fma (* 1/3 (pow N 2)) N (- N (* 1/2 (pow N 2)))) in N 1.775 * [taylor]: Rewrote expression to (+ (* (* 1/3 (pow N 2)) N) (- N (* 1/2 (pow N 2)))) 1.775 * [taylor]: Taking taylor expansion of (* (* 1/3 (pow N 2)) N) in N 1.775 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 2)) in N 1.775 * [taylor]: Taking taylor expansion of 1/3 in N 1.775 * [backup-simplify]: Simplify 1/3 into 1/3 1.775 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.775 * [taylor]: Taking taylor expansion of N in N 1.775 * [backup-simplify]: Simplify 0 into 0 1.775 * [backup-simplify]: Simplify 1 into 1 1.776 * [taylor]: Taking taylor expansion of N in N 1.776 * [backup-simplify]: Simplify 0 into 0 1.776 * [backup-simplify]: Simplify 1 into 1 1.776 * [taylor]: Taking taylor expansion of (- N (* 1/2 (pow N 2))) in N 1.776 * [taylor]: Taking taylor expansion of N in N 1.776 * [backup-simplify]: Simplify 0 into 0 1.776 * [backup-simplify]: Simplify 1 into 1 1.776 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 1.776 * [taylor]: Taking taylor expansion of 1/2 in N 1.776 * [backup-simplify]: Simplify 1/2 into 1/2 1.776 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.776 * [taylor]: Taking taylor expansion of N in N 1.776 * [backup-simplify]: Simplify 0 into 0 1.776 * [backup-simplify]: Simplify 1 into 1 1.776 * [backup-simplify]: Simplify (+ 0 0) into 0 1.777 * [backup-simplify]: Simplify (+ 0 0) into 0 1.777 * [backup-simplify]: Simplify 0 into 0 1.777 * [backup-simplify]: Simplify (+ 1 0) into 1 1.778 * [backup-simplify]: Simplify (+ 0 1) into 1 1.778 * [backup-simplify]: Simplify 1 into 1 1.778 * [backup-simplify]: Simplify (* 1 1) into 1 1.778 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 1.779 * [backup-simplify]: Simplify (* 1/3 0) into 0 1.779 * [backup-simplify]: Simplify (* 1 1) into 1 1.780 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.780 * [backup-simplify]: Simplify (- 1/2) into -1/2 1.781 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 1.781 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 1.781 * [backup-simplify]: Simplify -1/2 into -1/2 1.782 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.782 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 1.790 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 1.791 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.792 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.792 * [backup-simplify]: Simplify (- 0) into 0 1.792 * [backup-simplify]: Simplify (+ 0 0) into 0 1.793 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 1.793 * [backup-simplify]: Simplify 1/3 into 1/3 1.793 * [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)))) 1.794 * [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))))) 1.794 * [approximate]: Taking taylor expansion of (fma (* 1/3 (pow N 2)) (* -1 N) (- (+ N (* 1/2 (pow N 2))))) in (N) around 0 1.794 * [taylor]: Taking taylor expansion of (fma (* 1/3 (pow N 2)) (* -1 N) (- (+ N (* 1/2 (pow N 2))))) in N 1.794 * [taylor]: Rewrote expression to (+ (* (* 1/3 (pow N 2)) (* -1 N)) (- (+ N (* 1/2 (pow N 2))))) 1.794 * [taylor]: Taking taylor expansion of (* (* 1/3 (pow N 2)) (* -1 N)) in N 1.794 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 2)) in N 1.794 * [taylor]: Taking taylor expansion of 1/3 in N 1.794 * [backup-simplify]: Simplify 1/3 into 1/3 1.794 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.794 * [taylor]: Taking taylor expansion of N in N 1.794 * [backup-simplify]: Simplify 0 into 0 1.794 * [backup-simplify]: Simplify 1 into 1 1.794 * [taylor]: Taking taylor expansion of (* -1 N) in N 1.794 * [taylor]: Taking taylor expansion of -1 in N 1.794 * [backup-simplify]: Simplify -1 into -1 1.794 * [taylor]: Taking taylor expansion of N in N 1.794 * [backup-simplify]: Simplify 0 into 0 1.794 * [backup-simplify]: Simplify 1 into 1 1.794 * [taylor]: Taking taylor expansion of (- (+ N (* 1/2 (pow N 2)))) in N 1.794 * [taylor]: Taking taylor expansion of (+ N (* 1/2 (pow N 2))) in N 1.794 * [taylor]: Taking taylor expansion of N in N 1.794 * [backup-simplify]: Simplify 0 into 0 1.794 * [backup-simplify]: Simplify 1 into 1 1.794 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 1.794 * [taylor]: Taking taylor expansion of 1/2 in N 1.794 * [backup-simplify]: Simplify 1/2 into 1/2 1.794 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.794 * [taylor]: Taking taylor expansion of N in N 1.794 * [backup-simplify]: Simplify 0 into 0 1.795 * [backup-simplify]: Simplify 1 into 1 1.795 * [taylor]: Taking taylor expansion of (fma (* 1/3 (pow N 2)) (* -1 N) (- (+ N (* 1/2 (pow N 2))))) in N 1.795 * [taylor]: Rewrote expression to (+ (* (* 1/3 (pow N 2)) (* -1 N)) (- (+ N (* 1/2 (pow N 2))))) 1.795 * [taylor]: Taking taylor expansion of (* (* 1/3 (pow N 2)) (* -1 N)) in N 1.795 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 2)) in N 1.795 * [taylor]: Taking taylor expansion of 1/3 in N 1.795 * [backup-simplify]: Simplify 1/3 into 1/3 1.795 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.795 * [taylor]: Taking taylor expansion of N in N 1.795 * [backup-simplify]: Simplify 0 into 0 1.795 * [backup-simplify]: Simplify 1 into 1 1.795 * [taylor]: Taking taylor expansion of (* -1 N) in N 1.795 * [taylor]: Taking taylor expansion of -1 in N 1.795 * [backup-simplify]: Simplify -1 into -1 1.795 * [taylor]: Taking taylor expansion of N in N 1.795 * [backup-simplify]: Simplify 0 into 0 1.795 * [backup-simplify]: Simplify 1 into 1 1.795 * [taylor]: Taking taylor expansion of (- (+ N (* 1/2 (pow N 2)))) in N 1.795 * [taylor]: Taking taylor expansion of (+ N (* 1/2 (pow N 2))) in N 1.795 * [taylor]: Taking taylor expansion of N in N 1.795 * [backup-simplify]: Simplify 0 into 0 1.795 * [backup-simplify]: Simplify 1 into 1 1.795 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 1.795 * [taylor]: Taking taylor expansion of 1/2 in N 1.795 * [backup-simplify]: Simplify 1/2 into 1/2 1.795 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.795 * [taylor]: Taking taylor expansion of N in N 1.795 * [backup-simplify]: Simplify 0 into 0 1.795 * [backup-simplify]: Simplify 1 into 1 1.796 * [backup-simplify]: Simplify (+ 0 0) into 0 1.796 * [backup-simplify]: Simplify (- 0) into 0 1.797 * [backup-simplify]: Simplify (+ 0 0) into 0 1.797 * [backup-simplify]: Simplify 0 into 0 1.797 * [backup-simplify]: Simplify (+ 1 0) into 1 1.798 * [backup-simplify]: Simplify (- 1) into -1 1.798 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.798 * [backup-simplify]: Simplify -1 into -1 1.799 * [backup-simplify]: Simplify (* 1 1) into 1 1.799 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 1.799 * [backup-simplify]: Simplify (* -1 0) into 0 1.800 * [backup-simplify]: Simplify (* 1/3 0) into 0 1.800 * [backup-simplify]: Simplify (* 1 1) into 1 1.801 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.801 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 1.802 * [backup-simplify]: Simplify (- 1/2) into -1/2 1.802 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 1.802 * [backup-simplify]: Simplify -1/2 into -1/2 1.803 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 1.803 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.804 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 1.805 * [backup-simplify]: Simplify (+ (* 1/3 -1) (* 0 0)) into -1/3 1.805 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.806 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.807 * [backup-simplify]: Simplify (+ 0 0) into 0 1.807 * [backup-simplify]: Simplify (- 0) into 0 1.807 * [backup-simplify]: Simplify (+ -1/3 0) into -1/3 1.807 * [backup-simplify]: Simplify -1/3 into -1/3 1.808 * [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)))) 1.808 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.808 * [backup-simplify]: Simplify (/ 1/3 (* N N)) into (/ 1/3 (pow N 2)) 1.808 * [approximate]: Taking taylor expansion of (/ 1/3 (pow N 2)) in (N) around 0 1.808 * [taylor]: Taking taylor expansion of (/ 1/3 (pow N 2)) in N 1.808 * [taylor]: Taking taylor expansion of 1/3 in N 1.808 * [backup-simplify]: Simplify 1/3 into 1/3 1.808 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.808 * [taylor]: Taking taylor expansion of N in N 1.808 * [backup-simplify]: Simplify 0 into 0 1.808 * [backup-simplify]: Simplify 1 into 1 1.809 * [backup-simplify]: Simplify (* 1 1) into 1 1.809 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3 1.809 * [taylor]: Taking taylor expansion of (/ 1/3 (pow N 2)) in N 1.809 * [taylor]: Taking taylor expansion of 1/3 in N 1.809 * [backup-simplify]: Simplify 1/3 into 1/3 1.809 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.809 * [taylor]: Taking taylor expansion of N in N 1.809 * [backup-simplify]: Simplify 0 into 0 1.809 * [backup-simplify]: Simplify 1 into 1 1.810 * [backup-simplify]: Simplify (* 1 1) into 1 1.810 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3 1.810 * [backup-simplify]: Simplify 1/3 into 1/3 1.811 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.812 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 1.812 * [backup-simplify]: Simplify 0 into 0 1.813 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.814 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.814 * [backup-simplify]: Simplify 0 into 0 1.815 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.816 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.816 * [backup-simplify]: Simplify 0 into 0 1.817 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.818 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.818 * [backup-simplify]: Simplify 0 into 0 1.820 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.821 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.821 * [backup-simplify]: Simplify 0 into 0 1.823 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.824 * [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 1.824 * [backup-simplify]: Simplify 0 into 0 1.824 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 N) 2)) into (/ 1/3 (pow N 2)) 1.824 * [backup-simplify]: Simplify (/ 1/3 (* (/ 1 N) (/ 1 N))) into (* 1/3 (pow N 2)) 1.824 * [approximate]: Taking taylor expansion of (* 1/3 (pow N 2)) in (N) around 0 1.824 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 2)) in N 1.824 * [taylor]: Taking taylor expansion of 1/3 in N 1.824 * [backup-simplify]: Simplify 1/3 into 1/3 1.825 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.825 * [taylor]: Taking taylor expansion of N in N 1.825 * [backup-simplify]: Simplify 0 into 0 1.825 * [backup-simplify]: Simplify 1 into 1 1.825 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 2)) in N 1.825 * [taylor]: Taking taylor expansion of 1/3 in N 1.825 * [backup-simplify]: Simplify 1/3 into 1/3 1.825 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.825 * [taylor]: Taking taylor expansion of N in N 1.825 * [backup-simplify]: Simplify 0 into 0 1.825 * [backup-simplify]: Simplify 1 into 1 1.825 * [backup-simplify]: Simplify (* 1 1) into 1 1.826 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 1.826 * [backup-simplify]: Simplify 1/3 into 1/3 1.826 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.827 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 1.827 * [backup-simplify]: Simplify 0 into 0 1.828 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.829 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 1.829 * [backup-simplify]: Simplify 0 into 0 1.830 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.831 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.831 * [backup-simplify]: Simplify 0 into 0 1.833 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.834 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.834 * [backup-simplify]: Simplify 0 into 0 1.836 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.837 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.837 * [backup-simplify]: Simplify 0 into 0 1.839 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.841 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.841 * [backup-simplify]: Simplify 0 into 0 1.841 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 N) 2)) into (/ 1/3 (pow N 2)) 1.841 * [backup-simplify]: Simplify (/ 1/3 (* (/ 1 (- N)) (/ 1 (- N)))) into (* 1/3 (pow N 2)) 1.842 * [approximate]: Taking taylor expansion of (* 1/3 (pow N 2)) in (N) around 0 1.842 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 2)) in N 1.842 * [taylor]: Taking taylor expansion of 1/3 in N 1.842 * [backup-simplify]: Simplify 1/3 into 1/3 1.842 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.842 * [taylor]: Taking taylor expansion of N in N 1.842 * [backup-simplify]: Simplify 0 into 0 1.842 * [backup-simplify]: Simplify 1 into 1 1.842 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 2)) in N 1.842 * [taylor]: Taking taylor expansion of 1/3 in N 1.842 * [backup-simplify]: Simplify 1/3 into 1/3 1.842 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.842 * [taylor]: Taking taylor expansion of N in N 1.842 * [backup-simplify]: Simplify 0 into 0 1.842 * [backup-simplify]: Simplify 1 into 1 1.843 * [backup-simplify]: Simplify (* 1 1) into 1 1.843 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 1.843 * [backup-simplify]: Simplify 1/3 into 1/3 1.844 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.845 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 1.845 * [backup-simplify]: Simplify 0 into 0 1.846 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.847 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 1.847 * [backup-simplify]: Simplify 0 into 0 1.849 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.850 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.850 * [backup-simplify]: Simplify 0 into 0 1.851 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.853 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.853 * [backup-simplify]: Simplify 0 into 0 1.854 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.856 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.856 * [backup-simplify]: Simplify 0 into 0 1.857 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.858 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.858 * [backup-simplify]: Simplify 0 into 0 1.858 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (- N)) 2)) into (/ 1/3 (pow N 2)) 1.858 * * * * [progress]: [ 3 / 4 ] generating series at (2 3 2) 1.858 * [backup-simplify]: Simplify (/ 1/2 (* N N)) into (/ 1/2 (pow N 2)) 1.858 * [approximate]: Taking taylor expansion of (/ 1/2 (pow N 2)) in (N) around 0 1.858 * [taylor]: Taking taylor expansion of (/ 1/2 (pow N 2)) in N 1.858 * [taylor]: Taking taylor expansion of 1/2 in N 1.858 * [backup-simplify]: Simplify 1/2 into 1/2 1.858 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.858 * [taylor]: Taking taylor expansion of N in N 1.858 * [backup-simplify]: Simplify 0 into 0 1.858 * [backup-simplify]: Simplify 1 into 1 1.859 * [backup-simplify]: Simplify (* 1 1) into 1 1.859 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.859 * [taylor]: Taking taylor expansion of (/ 1/2 (pow N 2)) in N 1.859 * [taylor]: Taking taylor expansion of 1/2 in N 1.859 * [backup-simplify]: Simplify 1/2 into 1/2 1.859 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.859 * [taylor]: Taking taylor expansion of N in N 1.859 * [backup-simplify]: Simplify 0 into 0 1.859 * [backup-simplify]: Simplify 1 into 1 1.859 * [backup-simplify]: Simplify (* 1 1) into 1 1.860 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.860 * [backup-simplify]: Simplify 1/2 into 1/2 1.860 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.861 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.861 * [backup-simplify]: Simplify 0 into 0 1.861 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.862 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.862 * [backup-simplify]: Simplify 0 into 0 1.863 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.863 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.863 * [backup-simplify]: Simplify 0 into 0 1.864 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.865 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.865 * [backup-simplify]: Simplify 0 into 0 1.866 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.866 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.866 * [backup-simplify]: Simplify 0 into 0 1.867 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.868 * [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 1.868 * [backup-simplify]: Simplify 0 into 0 1.868 * [backup-simplify]: Simplify (* 1/2 (pow (/ 1 N) 2)) into (/ 1/2 (pow N 2)) 1.868 * [backup-simplify]: Simplify (/ 1/2 (* (/ 1 N) (/ 1 N))) into (* 1/2 (pow N 2)) 1.868 * [approximate]: Taking taylor expansion of (* 1/2 (pow N 2)) in (N) around 0 1.868 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 1.868 * [taylor]: Taking taylor expansion of 1/2 in N 1.868 * [backup-simplify]: Simplify 1/2 into 1/2 1.868 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.868 * [taylor]: Taking taylor expansion of N in N 1.868 * [backup-simplify]: Simplify 0 into 0 1.868 * [backup-simplify]: Simplify 1 into 1 1.868 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 1.868 * [taylor]: Taking taylor expansion of 1/2 in N 1.868 * [backup-simplify]: Simplify 1/2 into 1/2 1.868 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.868 * [taylor]: Taking taylor expansion of N in N 1.868 * [backup-simplify]: Simplify 0 into 0 1.868 * [backup-simplify]: Simplify 1 into 1 1.869 * [backup-simplify]: Simplify (* 1 1) into 1 1.869 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.869 * [backup-simplify]: Simplify 1/2 into 1/2 1.870 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.870 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.870 * [backup-simplify]: Simplify 0 into 0 1.871 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.872 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.872 * [backup-simplify]: Simplify 0 into 0 1.872 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.873 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.873 * [backup-simplify]: Simplify 0 into 0 1.874 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.875 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.875 * [backup-simplify]: Simplify 0 into 0 1.876 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.877 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.877 * [backup-simplify]: Simplify 0 into 0 1.878 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.880 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.880 * [backup-simplify]: Simplify 0 into 0 1.880 * [backup-simplify]: Simplify (* 1/2 (pow (/ 1 N) 2)) into (/ 1/2 (pow N 2)) 1.880 * [backup-simplify]: Simplify (/ 1/2 (* (/ 1 (- N)) (/ 1 (- N)))) into (* 1/2 (pow N 2)) 1.880 * [approximate]: Taking taylor expansion of (* 1/2 (pow N 2)) in (N) around 0 1.880 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 1.880 * [taylor]: Taking taylor expansion of 1/2 in N 1.880 * [backup-simplify]: Simplify 1/2 into 1/2 1.880 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.880 * [taylor]: Taking taylor expansion of N in N 1.880 * [backup-simplify]: Simplify 0 into 0 1.880 * [backup-simplify]: Simplify 1 into 1 1.880 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 1.880 * [taylor]: Taking taylor expansion of 1/2 in N 1.880 * [backup-simplify]: Simplify 1/2 into 1/2 1.880 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.880 * [taylor]: Taking taylor expansion of N in N 1.880 * [backup-simplify]: Simplify 0 into 0 1.880 * [backup-simplify]: Simplify 1 into 1 1.881 * [backup-simplify]: Simplify (* 1 1) into 1 1.882 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.882 * [backup-simplify]: Simplify 1/2 into 1/2 1.882 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.883 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.883 * [backup-simplify]: Simplify 0 into 0 1.884 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.885 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.885 * [backup-simplify]: Simplify 0 into 0 1.885 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.886 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.886 * [backup-simplify]: Simplify 0 into 0 1.887 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.888 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.888 * [backup-simplify]: Simplify 0 into 0 1.889 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.890 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.890 * [backup-simplify]: Simplify 0 into 0 1.891 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.892 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.892 * [backup-simplify]: Simplify 0 into 0 1.892 * [backup-simplify]: Simplify (* 1/2 (pow (/ 1 (- N)) 2)) into (/ 1/2 (pow N 2)) 1.892 * * * * [progress]: [ 4 / 4 ] generating series at (2 3) 1.893 * [backup-simplify]: Simplify (- (/ 1 N) (/ 1/2 (* N N))) into (- (/ 1 N) (* 1/2 (/ 1 (pow N 2)))) 1.893 * [approximate]: Taking taylor expansion of (- (/ 1 N) (* 1/2 (/ 1 (pow N 2)))) in (N) around 0 1.893 * [taylor]: Taking taylor expansion of (- (/ 1 N) (* 1/2 (/ 1 (pow N 2)))) in N 1.893 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.893 * [taylor]: Taking taylor expansion of N in N 1.893 * [backup-simplify]: Simplify 0 into 0 1.893 * [backup-simplify]: Simplify 1 into 1 1.893 * [backup-simplify]: Simplify (/ 1 1) into 1 1.893 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow N 2))) in N 1.893 * [taylor]: Taking taylor expansion of 1/2 in N 1.893 * [backup-simplify]: Simplify 1/2 into 1/2 1.893 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.893 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.893 * [taylor]: Taking taylor expansion of N in N 1.893 * [backup-simplify]: Simplify 0 into 0 1.893 * [backup-simplify]: Simplify 1 into 1 1.893 * [backup-simplify]: Simplify (* 1 1) into 1 1.894 * [backup-simplify]: Simplify (/ 1 1) into 1 1.894 * [taylor]: Taking taylor expansion of (- (/ 1 N) (* 1/2 (/ 1 (pow N 2)))) in N 1.894 * [taylor]: Taking taylor expansion of (/ 1 N) in N 1.894 * [taylor]: Taking taylor expansion of N in N 1.894 * [backup-simplify]: Simplify 0 into 0 1.894 * [backup-simplify]: Simplify 1 into 1 1.894 * [backup-simplify]: Simplify (/ 1 1) into 1 1.894 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow N 2))) in N 1.894 * [taylor]: Taking taylor expansion of 1/2 in N 1.894 * [backup-simplify]: Simplify 1/2 into 1/2 1.894 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 1.894 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.894 * [taylor]: Taking taylor expansion of N in N 1.894 * [backup-simplify]: Simplify 0 into 0 1.894 * [backup-simplify]: Simplify 1 into 1 1.894 * [backup-simplify]: Simplify (* 1 1) into 1 1.895 * [backup-simplify]: Simplify (/ 1 1) into 1 1.895 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.895 * [backup-simplify]: Simplify (- 1/2) into -1/2 1.895 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 1.895 * [backup-simplify]: Simplify -1/2 into -1/2 1.896 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.897 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.897 * [backup-simplify]: Simplify (- 0) into 0 1.897 * [backup-simplify]: Simplify (+ 1 0) into 1 1.897 * [backup-simplify]: Simplify 1 into 1 1.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.898 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.899 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.900 * [backup-simplify]: Simplify (- 0) into 0 1.900 * [backup-simplify]: Simplify (+ 0 0) into 0 1.900 * [backup-simplify]: Simplify 0 into 0 1.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.901 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.902 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.903 * [backup-simplify]: Simplify (- 0) into 0 1.903 * [backup-simplify]: Simplify (+ 0 0) into 0 1.903 * [backup-simplify]: Simplify 0 into 0 1.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.905 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.907 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.908 * [backup-simplify]: Simplify (- 0) into 0 1.908 * [backup-simplify]: Simplify (+ 0 0) into 0 1.908 * [backup-simplify]: Simplify 0 into 0 1.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.911 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.913 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.914 * [backup-simplify]: Simplify (- 0) into 0 1.914 * [backup-simplify]: Simplify (+ 0 0) into 0 1.914 * [backup-simplify]: Simplify 0 into 0 1.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.923 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.929 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.930 * [backup-simplify]: Simplify (- 0) into 0 1.930 * [backup-simplify]: Simplify (+ 0 0) into 0 1.930 * [backup-simplify]: Simplify 0 into 0 1.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.934 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 1.935 * [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 1.937 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 1.937 * [backup-simplify]: Simplify (- 0) into 0 1.938 * [backup-simplify]: Simplify (+ 0 0) into 0 1.938 * [backup-simplify]: Simplify 0 into 0 1.938 * [backup-simplify]: Simplify (+ (* 1 (/ 1 N)) (* -1/2 (pow (/ 1 N) 2))) into (- (/ 1 N) (* 1/2 (/ 1 (pow N 2)))) 1.938 * [backup-simplify]: Simplify (- (/ 1 (/ 1 N)) (/ 1/2 (* (/ 1 N) (/ 1 N)))) into (- N (* 1/2 (pow N 2))) 1.939 * [approximate]: Taking taylor expansion of (- N (* 1/2 (pow N 2))) in (N) around 0 1.939 * [taylor]: Taking taylor expansion of (- N (* 1/2 (pow N 2))) in N 1.939 * [taylor]: Taking taylor expansion of N in N 1.939 * [backup-simplify]: Simplify 0 into 0 1.939 * [backup-simplify]: Simplify 1 into 1 1.939 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 1.939 * [taylor]: Taking taylor expansion of 1/2 in N 1.939 * [backup-simplify]: Simplify 1/2 into 1/2 1.939 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.939 * [taylor]: Taking taylor expansion of N in N 1.939 * [backup-simplify]: Simplify 0 into 0 1.939 * [backup-simplify]: Simplify 1 into 1 1.939 * [taylor]: Taking taylor expansion of (- N (* 1/2 (pow N 2))) in N 1.939 * [taylor]: Taking taylor expansion of N in N 1.939 * [backup-simplify]: Simplify 0 into 0 1.939 * [backup-simplify]: Simplify 1 into 1 1.939 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 1.939 * [taylor]: Taking taylor expansion of 1/2 in N 1.939 * [backup-simplify]: Simplify 1/2 into 1/2 1.939 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.939 * [taylor]: Taking taylor expansion of N in N 1.939 * [backup-simplify]: Simplify 0 into 0 1.939 * [backup-simplify]: Simplify 1 into 1 1.940 * [backup-simplify]: Simplify (+ 0 0) into 0 1.940 * [backup-simplify]: Simplify 0 into 0 1.941 * [backup-simplify]: Simplify (+ 1 0) into 1 1.941 * [backup-simplify]: Simplify 1 into 1 1.941 * [backup-simplify]: Simplify (* 1 1) into 1 1.942 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.942 * [backup-simplify]: Simplify (- 1/2) into -1/2 1.943 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 1.943 * [backup-simplify]: Simplify -1/2 into -1/2 1.944 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.945 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.945 * [backup-simplify]: Simplify (- 0) into 0 1.946 * [backup-simplify]: Simplify (+ 0 0) into 0 1.946 * [backup-simplify]: Simplify 0 into 0 1.947 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.948 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.949 * [backup-simplify]: Simplify (- 0) into 0 1.949 * [backup-simplify]: Simplify (+ 0 0) into 0 1.950 * [backup-simplify]: Simplify 0 into 0 1.951 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.953 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.953 * [backup-simplify]: Simplify (- 0) into 0 1.954 * [backup-simplify]: Simplify (+ 0 0) into 0 1.954 * [backup-simplify]: Simplify 0 into 0 1.955 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.956 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.957 * [backup-simplify]: Simplify (- 0) into 0 1.957 * [backup-simplify]: Simplify (+ 0 0) into 0 1.957 * [backup-simplify]: Simplify 0 into 0 1.959 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.960 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.961 * [backup-simplify]: Simplify (- 0) into 0 1.961 * [backup-simplify]: Simplify (+ 0 0) into 0 1.961 * [backup-simplify]: Simplify 0 into 0 1.963 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.964 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.964 * [backup-simplify]: Simplify (- 0) into 0 1.965 * [backup-simplify]: Simplify (+ 0 0) into 0 1.965 * [backup-simplify]: Simplify 0 into 0 1.965 * [backup-simplify]: Simplify (+ (* -1/2 (pow (/ 1 N) 2)) (* 1 (/ 1 N))) into (- (/ 1 N) (* 1/2 (/ 1 (pow N 2)))) 1.965 * [backup-simplify]: Simplify (- (/ 1 (/ 1 (- N))) (/ 1/2 (* (/ 1 (- N)) (/ 1 (- N))))) into (- (+ N (* 1/2 (pow N 2)))) 1.965 * [approximate]: Taking taylor expansion of (- (+ N (* 1/2 (pow N 2)))) in (N) around 0 1.965 * [taylor]: Taking taylor expansion of (- (+ N (* 1/2 (pow N 2)))) in N 1.965 * [taylor]: Taking taylor expansion of (+ N (* 1/2 (pow N 2))) in N 1.965 * [taylor]: Taking taylor expansion of N in N 1.966 * [backup-simplify]: Simplify 0 into 0 1.966 * [backup-simplify]: Simplify 1 into 1 1.966 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 1.966 * [taylor]: Taking taylor expansion of 1/2 in N 1.966 * [backup-simplify]: Simplify 1/2 into 1/2 1.966 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.966 * [taylor]: Taking taylor expansion of N in N 1.966 * [backup-simplify]: Simplify 0 into 0 1.966 * [backup-simplify]: Simplify 1 into 1 1.966 * [taylor]: Taking taylor expansion of (- (+ N (* 1/2 (pow N 2)))) in N 1.966 * [taylor]: Taking taylor expansion of (+ N (* 1/2 (pow N 2))) in N 1.966 * [taylor]: Taking taylor expansion of N in N 1.966 * [backup-simplify]: Simplify 0 into 0 1.966 * [backup-simplify]: Simplify 1 into 1 1.966 * [taylor]: Taking taylor expansion of (* 1/2 (pow N 2)) in N 1.966 * [taylor]: Taking taylor expansion of 1/2 in N 1.966 * [backup-simplify]: Simplify 1/2 into 1/2 1.966 * [taylor]: Taking taylor expansion of (pow N 2) in N 1.966 * [taylor]: Taking taylor expansion of N in N 1.966 * [backup-simplify]: Simplify 0 into 0 1.966 * [backup-simplify]: Simplify 1 into 1 1.966 * [backup-simplify]: Simplify (+ 0 0) into 0 1.967 * [backup-simplify]: Simplify (- 0) into 0 1.967 * [backup-simplify]: Simplify 0 into 0 1.967 * [backup-simplify]: Simplify (+ 1 0) into 1 1.968 * [backup-simplify]: Simplify (- 1) into -1 1.968 * [backup-simplify]: Simplify -1 into -1 1.968 * [backup-simplify]: Simplify (* 1 1) into 1 1.969 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.969 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 1.969 * [backup-simplify]: Simplify (- 1/2) into -1/2 1.969 * [backup-simplify]: Simplify -1/2 into -1/2 1.970 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.971 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.971 * [backup-simplify]: Simplify (+ 0 0) into 0 1.972 * [backup-simplify]: Simplify (- 0) into 0 1.972 * [backup-simplify]: Simplify 0 into 0 1.973 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.974 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.974 * [backup-simplify]: Simplify (+ 0 0) into 0 1.974 * [backup-simplify]: Simplify (- 0) into 0 1.974 * [backup-simplify]: Simplify 0 into 0 1.975 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.976 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.976 * [backup-simplify]: Simplify (+ 0 0) into 0 1.976 * [backup-simplify]: Simplify (- 0) into 0 1.976 * [backup-simplify]: Simplify 0 into 0 1.977 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.978 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.978 * [backup-simplify]: Simplify (+ 0 0) into 0 1.978 * [backup-simplify]: Simplify (- 0) into 0 1.978 * [backup-simplify]: Simplify 0 into 0 1.979 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.980 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.980 * [backup-simplify]: Simplify (+ 0 0) into 0 1.980 * [backup-simplify]: Simplify (- 0) into 0 1.980 * [backup-simplify]: Simplify 0 into 0 1.981 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.982 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.982 * [backup-simplify]: Simplify (+ 0 0) into 0 1.983 * [backup-simplify]: Simplify (- 0) into 0 1.983 * [backup-simplify]: Simplify 0 into 0 1.983 * [backup-simplify]: Simplify (+ (* -1/2 (pow (/ 1 (- N)) 2)) (* -1 (/ 1 (- N)))) into (- (/ 1 N) (* 1/2 (/ 1 (pow N 2)))) 1.983 * * * [progress]: simplifying candidates 1.983 * * * * [progress]: [ 1 / 199 ] simplifiying candidate # 1.983 * * * * [progress]: [ 2 / 199 ] simplifiying candidate # 1.983 * * * * [progress]: [ 3 / 199 ] simplifiying candidate # 1.983 * * * * [progress]: [ 4 / 199 ] simplifiying candidate # 1.983 * * * * [progress]: [ 5 / 199 ] simplifiying candidate # 1.983 * * * * [progress]: [ 6 / 199 ] simplifiying candidate # 1.983 * * * * [progress]: [ 7 / 199 ] simplifiying candidate # 1.983 * * * * [progress]: [ 8 / 199 ] simplifiying candidate # 1.983 * * * * [progress]: [ 9 / 199 ] simplifiying candidate # 1.983 * * * * [progress]: [ 10 / 199 ] simplifiying candidate # 1.983 * * * * [progress]: [ 11 / 199 ] simplifiying candidate #real (real->posit16 (fma (/ 1/3 (* N N)) (/ 1 N) (- (/ 1 N) (/ 1/2 (* N N)))))))> 1.983 * * * * [progress]: [ 12 / 199 ] 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] simplifiying candidate # 1.991 * * * * [progress]: [ 196 / 199 ] simplifiying candidate # 1.991 * * * * [progress]: [ 197 / 199 ] simplifiying candidate # 1.991 * * * * [progress]: [ 198 / 199 ] simplifiying candidate # 1.991 * * * * [progress]: [ 199 / 199 ] simplifiying candidate # 1.994 * [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 (* 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(/ 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)))) 1.998 * * [simplify]: iteration 0: 274 enodes 2.141 * * [simplify]: iteration 1: 621 enodes 2.432 * * [simplify]: iteration 2: 1570 enodes 2.706 * * [simplify]: iteration 3: 2001 enodes 3.005 * * [simplify]: iteration complete: 2001 enodes 3.005 * * [simplify]: Extracting #0: cost 92 inf + 0 3.007 * * [simplify]: Extracting #1: cost 357 inf + 2 3.012 * * [simplify]: Extracting #2: cost 436 inf + 5102 3.027 * * [simplify]: Extracting #3: cost 190 inf + 42988 3.056 * * [simplify]: Extracting #4: cost 23 inf + 73761 3.089 * * [simplify]: Extracting #5: cost 0 inf + 78944 3.126 * * [simplify]: Extracting #6: cost 0 inf + 78914 3.153 * [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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(/ 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))) (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))) (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)) 3.177 * * * [progress]: adding candidates to table 3.871 * * [progress]: iteration 3 / 4 3.871 * * * [progress]: picking best candidate 3.887 * * * * [pick]: Picked # 3.888 * * * [progress]: localizing error 3.969 * * * [progress]: generating rewritten candidates 3.969 * * * * [progress]: [ 1 / 4 ] rewriting at (2 3 2) 3.970 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 3.970 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 3.983 * * * * [progress]: [ 4 / 4 ] rewriting at (2 3 2 3 2) 4.000 * * * [progress]: generating series expansions 4.001 * * * * [progress]: [ 1 / 4 ] generating series at (2 3 2) 4.003 * [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))) 4.003 * [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 4.003 * [taylor]: Taking taylor expansion of (fma (- (/ (sqrt 1/2) N)) (/ (sqrt 1/2) N) (/ (pow (sqrt 1/2) 2) (pow N 2))) in N 4.003 * [taylor]: Rewrote expression to (+ (* (- (/ (sqrt 1/2) N)) (/ (sqrt 1/2) N)) (/ (pow (sqrt 1/2) 2) (pow N 2))) 4.003 * [taylor]: Taking taylor expansion of (* (- (/ (sqrt 1/2) N)) (/ (sqrt 1/2) N)) in N 4.003 * [taylor]: Taking taylor expansion of (- (/ (sqrt 1/2) N)) in N 4.003 * [taylor]: Taking taylor expansion of (/ (sqrt 1/2) N) in N 4.003 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 4.003 * [taylor]: Taking taylor expansion of 1/2 in N 4.003 * [backup-simplify]: Simplify 1/2 into 1/2 4.004 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 4.005 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 4.005 * [taylor]: Taking taylor expansion of N in N 4.005 * [backup-simplify]: Simplify 0 into 0 4.005 * [backup-simplify]: Simplify 1 into 1 4.007 * [backup-simplify]: Simplify (/ (sqrt 1/2) 1) into (sqrt 1/2) 4.007 * [taylor]: Taking taylor expansion of (/ (sqrt 1/2) N) in N 4.007 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 4.007 * [taylor]: Taking taylor expansion of 1/2 in N 4.007 * [backup-simplify]: Simplify 1/2 into 1/2 4.008 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 4.009 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 4.009 * [taylor]: Taking taylor expansion of N in N 4.009 * [backup-simplify]: Simplify 0 into 0 4.009 * [backup-simplify]: Simplify 1 into 1 4.010 * [backup-simplify]: Simplify (/ (sqrt 1/2) 1) into (sqrt 1/2) 4.010 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1/2) 2) (pow N 2)) in N 4.010 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in N 4.010 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 4.010 * [taylor]: Taking taylor expansion of 1/2 in N 4.010 * [backup-simplify]: Simplify 1/2 into 1/2 4.010 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 4.011 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 4.011 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.011 * [taylor]: Taking taylor expansion of N in N 4.011 * [backup-simplify]: Simplify 0 into 0 4.011 * [backup-simplify]: Simplify 1 into 1 4.012 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 4.013 * [backup-simplify]: Simplify (* 1 1) into 1 4.014 * [backup-simplify]: Simplify (/ (pow (sqrt 1/2) 2) 1) into (pow (sqrt 1/2) 2) 4.014 * [taylor]: Taking taylor expansion of (fma (- (/ (sqrt 1/2) N)) (/ (sqrt 1/2) N) (/ (pow (sqrt 1/2) 2) (pow N 2))) in N 4.014 * [taylor]: Rewrote expression to (+ (* (- (/ (sqrt 1/2) N)) (/ (sqrt 1/2) N)) (/ (pow (sqrt 1/2) 2) (pow N 2))) 4.014 * [taylor]: Taking taylor expansion of (* (- (/ (sqrt 1/2) N)) (/ (sqrt 1/2) N)) in N 4.014 * [taylor]: Taking taylor expansion of (- (/ (sqrt 1/2) N)) in N 4.015 * [taylor]: Taking taylor expansion of (/ (sqrt 1/2) N) in N 4.015 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 4.015 * [taylor]: Taking taylor expansion of 1/2 in N 4.015 * [backup-simplify]: Simplify 1/2 into 1/2 4.015 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 4.016 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 4.016 * [taylor]: Taking taylor expansion of N in N 4.016 * [backup-simplify]: Simplify 0 into 0 4.016 * [backup-simplify]: Simplify 1 into 1 4.017 * [backup-simplify]: Simplify (/ (sqrt 1/2) 1) into (sqrt 1/2) 4.017 * [taylor]: Taking taylor expansion of (/ (sqrt 1/2) N) in N 4.017 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 4.017 * [taylor]: Taking taylor expansion of 1/2 in N 4.017 * [backup-simplify]: Simplify 1/2 into 1/2 4.017 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 4.018 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 4.018 * [taylor]: Taking taylor expansion of N in N 4.018 * [backup-simplify]: Simplify 0 into 0 4.018 * [backup-simplify]: Simplify 1 into 1 4.019 * [backup-simplify]: Simplify (/ (sqrt 1/2) 1) into (sqrt 1/2) 4.019 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1/2) 2) (pow N 2)) in N 4.019 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in N 4.019 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 4.019 * [taylor]: Taking taylor expansion of 1/2 in N 4.019 * [backup-simplify]: Simplify 1/2 into 1/2 4.020 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 4.020 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 4.020 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.020 * [taylor]: Taking taylor expansion of N in N 4.020 * [backup-simplify]: Simplify 0 into 0 4.020 * [backup-simplify]: Simplify 1 into 1 4.022 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 4.022 * [backup-simplify]: Simplify (* 1 1) into 1 4.023 * [backup-simplify]: Simplify (/ (pow (sqrt 1/2) 2) 1) into (pow (sqrt 1/2) 2) 4.024 * [backup-simplify]: Simplify (- (sqrt 1/2)) into (- (sqrt 1/2)) 4.025 * [backup-simplify]: Simplify (* (- (sqrt 1/2)) (sqrt 1/2)) into (* -1 (pow (sqrt 1/2) 2)) 4.027 * [backup-simplify]: Simplify (+ (* -1 (pow (sqrt 1/2) 2)) (pow (sqrt 1/2) 2)) into 0 4.027 * [backup-simplify]: Simplify 0 into 0 4.028 * [backup-simplify]: Simplify (- (sqrt 1/2)) into (- (sqrt 1/2)) 4.028 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)))) into 0 4.029 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)))) into 0 4.029 * [backup-simplify]: Simplify (- 0) into 0 4.030 * [backup-simplify]: Simplify (+ (* (- (sqrt 1/2)) 0) (* 0 (sqrt 1/2))) into 0 4.030 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 4.030 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.031 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 1/2) 2) (/ 0 1)))) into 0 4.031 * [backup-simplify]: Simplify (+ 0 0) into 0 4.031 * [backup-simplify]: Simplify 0 into 0 4.032 * [backup-simplify]: Simplify (- (sqrt 1/2)) into (- (sqrt 1/2)) 4.033 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 4.033 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.033 * [backup-simplify]: Simplify (- 0) into 0 4.034 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 4.035 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.035 * [backup-simplify]: Simplify (- 0) into 0 4.036 * [backup-simplify]: Simplify (+ (* (- (sqrt 1/2)) 0) (+ (* 0 0) (* 0 (sqrt 1/2)))) into 0 4.036 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 4.037 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (* 0 (sqrt 1/2)))) into 0 4.038 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.038 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 1/2) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.039 * [backup-simplify]: Simplify (+ 0 0) into 0 4.039 * [backup-simplify]: Simplify 0 into 0 4.039 * [backup-simplify]: Simplify (- (sqrt 1/2)) into (- (sqrt 1/2)) 4.040 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 4.041 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.041 * [backup-simplify]: Simplify (- 0) into 0 4.041 * [backup-simplify]: Simplify (- 0) into 0 4.042 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 4.042 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.043 * [backup-simplify]: Simplify (- 0) into 0 4.044 * [backup-simplify]: Simplify (+ (* (- (sqrt 1/2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2))))) into 0 4.044 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 4.045 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2))))) into 0 4.046 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.046 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 1/2) 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.047 * [backup-simplify]: Simplify (+ 0 0) into 0 4.047 * [backup-simplify]: Simplify 0 into 0 4.047 * [backup-simplify]: Simplify (- (sqrt 1/2)) into (- (sqrt 1/2)) 4.048 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 4.049 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.049 * [backup-simplify]: Simplify (- 0) into 0 4.049 * [backup-simplify]: Simplify (- 0) into 0 4.049 * [backup-simplify]: Simplify (- 0) into 0 4.050 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 4.051 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.051 * [backup-simplify]: Simplify (- 0) into 0 4.053 * [backup-simplify]: Simplify (+ (* (- (sqrt 1/2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2)))))) into 0 4.055 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 4.056 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2)))))) into 0 4.057 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.059 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 1/2) 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.059 * [backup-simplify]: Simplify (+ 0 0) into 0 4.059 * [backup-simplify]: Simplify 0 into 0 4.060 * [backup-simplify]: Simplify (- (sqrt 1/2)) into (- (sqrt 1/2)) 4.062 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 4.063 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.064 * [backup-simplify]: Simplify (- 0) into 0 4.064 * [backup-simplify]: Simplify (- 0) into 0 4.065 * [backup-simplify]: Simplify (- 0) into 0 4.065 * [backup-simplify]: Simplify (- 0) into 0 4.067 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 4.068 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.068 * [backup-simplify]: Simplify (- 0) into 0 4.070 * [backup-simplify]: Simplify (+ (* (- (sqrt 1/2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2))))))) into 0 4.071 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 4.073 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2))))))) into 0 4.075 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.076 * [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 4.076 * [backup-simplify]: Simplify (+ 0 0) into 0 4.077 * [backup-simplify]: Simplify 0 into 0 4.077 * [backup-simplify]: Simplify 0 into 0 4.078 * [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))) 4.078 * [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 4.078 * [taylor]: Taking taylor expansion of (fma (- (* N (sqrt 1/2))) (* N (sqrt 1/2)) (* (pow N 2) (pow (sqrt 1/2) 2))) in N 4.079 * [taylor]: Rewrote expression to (+ (* (- (* N (sqrt 1/2))) (* N (sqrt 1/2))) (* (pow N 2) (pow (sqrt 1/2) 2))) 4.079 * [taylor]: Taking taylor expansion of (* (- (* N (sqrt 1/2))) (* N (sqrt 1/2))) in N 4.079 * [taylor]: Taking taylor expansion of (- (* N (sqrt 1/2))) in N 4.079 * [taylor]: Taking taylor expansion of (* N (sqrt 1/2)) in N 4.079 * [taylor]: Taking taylor expansion of N in N 4.079 * [backup-simplify]: Simplify 0 into 0 4.079 * [backup-simplify]: Simplify 1 into 1 4.079 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 4.079 * [taylor]: Taking taylor expansion of 1/2 in N 4.079 * [backup-simplify]: Simplify 1/2 into 1/2 4.079 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 4.080 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 4.080 * [taylor]: Taking taylor expansion of (* N (sqrt 1/2)) in N 4.080 * [taylor]: Taking taylor expansion of N in N 4.080 * [backup-simplify]: Simplify 0 into 0 4.080 * [backup-simplify]: Simplify 1 into 1 4.080 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 4.080 * [taylor]: Taking taylor expansion of 1/2 in N 4.080 * [backup-simplify]: Simplify 1/2 into 1/2 4.081 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 4.081 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 4.081 * [taylor]: Taking taylor expansion of (* (pow N 2) (pow (sqrt 1/2) 2)) in N 4.081 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.082 * [taylor]: Taking taylor expansion of N in N 4.082 * [backup-simplify]: Simplify 0 into 0 4.082 * [backup-simplify]: Simplify 1 into 1 4.082 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in N 4.082 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 4.082 * [taylor]: Taking taylor expansion of 1/2 in N 4.082 * [backup-simplify]: Simplify 1/2 into 1/2 4.082 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 4.083 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 4.083 * [taylor]: Taking taylor expansion of (fma (- (* N (sqrt 1/2))) (* N (sqrt 1/2)) (* (pow N 2) (pow (sqrt 1/2) 2))) in N 4.083 * [taylor]: Rewrote expression to (+ (* (- (* N (sqrt 1/2))) (* N (sqrt 1/2))) (* (pow N 2) (pow (sqrt 1/2) 2))) 4.083 * [taylor]: Taking taylor expansion of (* (- (* N (sqrt 1/2))) (* N (sqrt 1/2))) in N 4.083 * [taylor]: Taking taylor expansion of (- (* N (sqrt 1/2))) in N 4.083 * [taylor]: Taking taylor expansion of (* N (sqrt 1/2)) in N 4.083 * [taylor]: Taking taylor expansion of N in N 4.083 * [backup-simplify]: Simplify 0 into 0 4.083 * [backup-simplify]: Simplify 1 into 1 4.083 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 4.083 * [taylor]: Taking taylor expansion of 1/2 in N 4.083 * [backup-simplify]: Simplify 1/2 into 1/2 4.084 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 4.084 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 4.084 * [taylor]: Taking taylor expansion of (* N (sqrt 1/2)) in N 4.084 * [taylor]: Taking taylor expansion of N in N 4.085 * [backup-simplify]: Simplify 0 into 0 4.085 * [backup-simplify]: Simplify 1 into 1 4.085 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 4.085 * [taylor]: Taking taylor expansion of 1/2 in N 4.085 * [backup-simplify]: Simplify 1/2 into 1/2 4.085 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 4.086 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 4.086 * [taylor]: Taking taylor expansion of (* (pow N 2) (pow (sqrt 1/2) 2)) in N 4.086 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.086 * [taylor]: Taking taylor expansion of N in N 4.086 * [backup-simplify]: Simplify 0 into 0 4.086 * [backup-simplify]: Simplify 1 into 1 4.086 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in N 4.086 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 4.086 * [taylor]: Taking taylor expansion of 1/2 in N 4.086 * [backup-simplify]: Simplify 1/2 into 1/2 4.086 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 4.087 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 4.088 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0 4.088 * [backup-simplify]: Simplify (- 0) into 0 4.089 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0 4.089 * [backup-simplify]: Simplify (* 0 0) into 0 4.090 * [backup-simplify]: Simplify (+ 0 0) into 0 4.090 * [backup-simplify]: Simplify 0 into 0 4.090 * [backup-simplify]: Simplify (- 0) into 0 4.092 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 1/2))) into (sqrt 1/2) 4.093 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 1/2))) into (sqrt 1/2) 4.094 * [backup-simplify]: Simplify (- (sqrt 1/2)) into (- (sqrt 1/2)) 4.094 * [backup-simplify]: Simplify (+ (* 0 (sqrt 1/2)) (* (- (sqrt 1/2)) 0)) into 0 4.094 * [backup-simplify]: Simplify (+ 0 0) into 0 4.094 * [backup-simplify]: Simplify 0 into 0 4.095 * [backup-simplify]: Simplify (- 0) into 0 4.095 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 4.096 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 1/2)))) into 0 4.096 * [backup-simplify]: Simplify (- (sqrt 1/2)) into (- (sqrt 1/2)) 4.097 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 4.098 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 1/2)))) into 0 4.098 * [backup-simplify]: Simplify (- 0) into 0 4.100 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- (sqrt 1/2)) (sqrt 1/2)) (* 0 0))) into (- (pow (sqrt 1/2) 2)) 4.101 * [backup-simplify]: Simplify (* 1 1) into 1 4.101 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 4.102 * [backup-simplify]: Simplify (* 1 (pow (sqrt 1/2) 2)) into (pow (sqrt 1/2) 2) 4.104 * [backup-simplify]: Simplify (+ (- (pow (sqrt 1/2) 2)) (pow (sqrt 1/2) 2)) into 0 4.104 * [backup-simplify]: Simplify 0 into 0 4.105 * [backup-simplify]: Simplify (- 0) into 0 4.105 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 4.106 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 1/2))))) into 0 4.112 * [backup-simplify]: Simplify (- (sqrt 1/2)) into (- (sqrt 1/2)) 4.113 * [backup-simplify]: Simplify (- 0) into 0 4.114 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 4.116 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 1/2))))) into 0 4.116 * [backup-simplify]: Simplify (- 0) into 0 4.117 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- (sqrt 1/2)) 0) (+ (* 0 (sqrt 1/2)) (* 0 0)))) into 0 4.118 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 4.119 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.120 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (sqrt 1/2) 2))) into 0 4.120 * [backup-simplify]: Simplify (+ 0 0) into 0 4.120 * [backup-simplify]: Simplify 0 into 0 4.121 * [backup-simplify]: Simplify (- 0) into 0 4.122 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 4.124 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2)))))) into 0 4.124 * [backup-simplify]: Simplify (- (sqrt 1/2)) into (- (sqrt 1/2)) 4.125 * [backup-simplify]: Simplify (- 0) into 0 4.125 * [backup-simplify]: Simplify (- 0) into 0 4.127 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 4.128 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2)))))) into 0 4.128 * [backup-simplify]: Simplify (- 0) into 0 4.129 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- (sqrt 1/2)) 0) (+ (* 0 0) (+ (* 0 (sqrt 1/2)) (* 0 0))))) into 0 4.129 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 4.130 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (* 0 (sqrt 1/2)))) into 0 4.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (sqrt 1/2) 2)))) into 0 4.132 * [backup-simplify]: Simplify (+ 0 0) into 0 4.132 * [backup-simplify]: Simplify 0 into 0 4.132 * [backup-simplify]: Simplify (- 0) into 0 4.133 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 4.134 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2))))))) into 0 4.134 * [backup-simplify]: Simplify (- (sqrt 1/2)) into (- (sqrt 1/2)) 4.134 * [backup-simplify]: Simplify (- 0) into 0 4.135 * [backup-simplify]: Simplify (- 0) into 0 4.135 * [backup-simplify]: Simplify (- 0) into 0 4.136 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 4.136 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2))))))) into 0 4.137 * [backup-simplify]: Simplify (- 0) into 0 4.138 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- (sqrt 1/2)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sqrt 1/2)) (* 0 0)))))) into 0 4.138 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 4.139 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2))))) into 0 4.140 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.141 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 1/2) 2))))) into 0 4.141 * [backup-simplify]: Simplify (+ 0 0) into 0 4.141 * [backup-simplify]: Simplify 0 into 0 4.141 * [backup-simplify]: Simplify 0 into 0 4.142 * [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))) 4.142 * [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 4.142 * [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 4.142 * [taylor]: Rewrote expression to (+ (* (* N (sqrt 1/2)) (* -1 (* N (sqrt 1/2)))) (* (pow N 2) (pow (sqrt 1/2) 2))) 4.142 * [taylor]: Taking taylor expansion of (* (* N (sqrt 1/2)) (* -1 (* N (sqrt 1/2)))) in N 4.142 * [taylor]: Taking taylor expansion of (* N (sqrt 1/2)) in N 4.142 * [taylor]: Taking taylor expansion of N in N 4.142 * [backup-simplify]: Simplify 0 into 0 4.142 * [backup-simplify]: Simplify 1 into 1 4.142 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 4.142 * [taylor]: Taking taylor expansion of 1/2 in N 4.142 * [backup-simplify]: Simplify 1/2 into 1/2 4.143 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 4.143 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 4.143 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt 1/2))) in N 4.143 * [taylor]: Taking taylor expansion of -1 in N 4.143 * [backup-simplify]: Simplify -1 into -1 4.143 * [taylor]: Taking taylor expansion of (* N (sqrt 1/2)) in N 4.143 * [taylor]: Taking taylor expansion of N in N 4.143 * [backup-simplify]: Simplify 0 into 0 4.143 * [backup-simplify]: Simplify 1 into 1 4.143 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 4.143 * [taylor]: Taking taylor expansion of 1/2 in N 4.143 * [backup-simplify]: Simplify 1/2 into 1/2 4.143 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 4.144 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 4.144 * [taylor]: Taking taylor expansion of (* (pow N 2) (pow (sqrt 1/2) 2)) in N 4.144 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.144 * [taylor]: Taking taylor expansion of N in N 4.144 * [backup-simplify]: Simplify 0 into 0 4.144 * [backup-simplify]: Simplify 1 into 1 4.144 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in N 4.144 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 4.144 * [taylor]: Taking taylor expansion of 1/2 in N 4.144 * [backup-simplify]: Simplify 1/2 into 1/2 4.144 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 4.145 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 4.145 * [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 4.145 * [taylor]: Rewrote expression to (+ (* (* N (sqrt 1/2)) (* -1 (* N (sqrt 1/2)))) (* (pow N 2) (pow (sqrt 1/2) 2))) 4.145 * [taylor]: Taking taylor expansion of (* (* N (sqrt 1/2)) (* -1 (* N (sqrt 1/2)))) in N 4.145 * [taylor]: Taking taylor expansion of (* N (sqrt 1/2)) in N 4.145 * [taylor]: Taking taylor expansion of N in N 4.145 * [backup-simplify]: Simplify 0 into 0 4.145 * [backup-simplify]: Simplify 1 into 1 4.145 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 4.145 * [taylor]: Taking taylor expansion of 1/2 in N 4.145 * [backup-simplify]: Simplify 1/2 into 1/2 4.145 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 4.146 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 4.146 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt 1/2))) in N 4.146 * [taylor]: Taking taylor expansion of -1 in N 4.146 * [backup-simplify]: Simplify -1 into -1 4.146 * [taylor]: Taking taylor expansion of (* N (sqrt 1/2)) in N 4.146 * [taylor]: Taking taylor expansion of N in N 4.146 * [backup-simplify]: Simplify 0 into 0 4.146 * [backup-simplify]: Simplify 1 into 1 4.146 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 4.146 * [taylor]: Taking taylor expansion of 1/2 in N 4.146 * [backup-simplify]: Simplify 1/2 into 1/2 4.146 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 4.146 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 4.147 * [taylor]: Taking taylor expansion of (* (pow N 2) (pow (sqrt 1/2) 2)) in N 4.147 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.147 * [taylor]: Taking taylor expansion of N in N 4.147 * [backup-simplify]: Simplify 0 into 0 4.147 * [backup-simplify]: Simplify 1 into 1 4.147 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in N 4.147 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 4.147 * [taylor]: Taking taylor expansion of 1/2 in N 4.147 * [backup-simplify]: Simplify 1/2 into 1/2 4.147 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 4.147 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 4.148 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0 4.148 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0 4.148 * [backup-simplify]: Simplify (* -1 0) into 0 4.149 * [backup-simplify]: Simplify (* 0 0) into 0 4.149 * [backup-simplify]: Simplify (+ 0 0) into 0 4.149 * [backup-simplify]: Simplify 0 into 0 4.150 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 1/2))) into (sqrt 1/2) 4.151 * [backup-simplify]: Simplify (+ (* -1 (sqrt 1/2)) (* 0 0)) into (- (sqrt 1/2)) 4.153 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 1/2))) into (sqrt 1/2) 4.153 * [backup-simplify]: Simplify (+ (* 0 (- (sqrt 1/2))) (* (sqrt 1/2) 0)) into 0 4.153 * [backup-simplify]: Simplify (+ 0 0) into 0 4.153 * [backup-simplify]: Simplify 0 into 0 4.154 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 4.155 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 1/2)))) into 0 4.155 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (sqrt 1/2)) (* 0 0))) into 0 4.156 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 4.157 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 1/2)))) into 0 4.160 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (sqrt 1/2) (- (sqrt 1/2))) (* 0 0))) into (- (pow (sqrt 1/2) 2)) 4.160 * [backup-simplify]: Simplify (* 1 1) into 1 4.162 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 4.164 * [backup-simplify]: Simplify (* 1 (pow (sqrt 1/2) 2)) into (pow (sqrt 1/2) 2) 4.168 * [backup-simplify]: Simplify (+ (- (pow (sqrt 1/2) 2)) (pow (sqrt 1/2) 2)) into 0 4.168 * [backup-simplify]: Simplify 0 into 0 4.169 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 4.171 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 1/2))))) into 0 4.172 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (sqrt 1/2)) (* 0 0)))) into 0 4.174 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 4.175 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 1/2))))) into 0 4.177 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (sqrt 1/2) 0) (+ (* 0 (- (sqrt 1/2))) (* 0 0)))) into 0 4.178 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 4.179 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.181 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (sqrt 1/2) 2))) into 0 4.181 * [backup-simplify]: Simplify (+ 0 0) into 0 4.181 * [backup-simplify]: Simplify 0 into 0 4.183 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 4.185 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2)))))) into 0 4.186 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sqrt 1/2)) (* 0 0))))) into 0 4.188 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 4.190 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2)))))) into 0 4.191 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* 0 (- (sqrt 1/2))) (* 0 0))))) into 0 4.192 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 4.194 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (* 0 (sqrt 1/2)))) into 0 4.195 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.196 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (sqrt 1/2) 2)))) into 0 4.196 * [backup-simplify]: Simplify (+ 0 0) into 0 4.197 * [backup-simplify]: Simplify 0 into 0 4.198 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 4.200 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2))))))) into 0 4.201 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sqrt 1/2)) (* 0 0)))))) into 0 4.203 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 4.205 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2))))))) into 0 4.206 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (sqrt 1/2))) (* 0 0)))))) into 0 4.208 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 4.209 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2))))) into 0 4.210 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.212 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sqrt 1/2) 2))))) into 0 4.212 * [backup-simplify]: Simplify (+ 0 0) into 0 4.212 * [backup-simplify]: Simplify 0 into 0 4.212 * [backup-simplify]: Simplify 0 into 0 4.212 * * * * [progress]: [ 2 / 4 ] generating series at (2) 4.215 * [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)))) 4.215 * [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 4.215 * [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 4.215 * [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)))) 4.216 * [taylor]: Taking taylor expansion of (* (/ 1/3 (pow N 2)) (/ 1 N)) in N 4.216 * [taylor]: Taking taylor expansion of (/ 1/3 (pow N 2)) in N 4.216 * [taylor]: Taking taylor expansion of 1/3 in N 4.216 * [backup-simplify]: Simplify 1/3 into 1/3 4.216 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.216 * [taylor]: Taking taylor expansion of N in N 4.216 * [backup-simplify]: Simplify 0 into 0 4.216 * [backup-simplify]: Simplify 1 into 1 4.216 * [backup-simplify]: Simplify (* 1 1) into 1 4.217 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3 4.217 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.217 * [taylor]: Taking taylor expansion of N in N 4.217 * [backup-simplify]: Simplify 0 into 0 4.217 * [backup-simplify]: Simplify 1 into 1 4.217 * [backup-simplify]: Simplify (/ 1 1) into 1 4.217 * [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 4.217 * [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 4.217 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.217 * [taylor]: Taking taylor expansion of N in N 4.217 * [backup-simplify]: Simplify 0 into 0 4.217 * [backup-simplify]: Simplify 1 into 1 4.218 * [backup-simplify]: Simplify (/ 1 1) into 1 4.218 * [taylor]: Taking taylor expansion of (fma (- (/ (sqrt 1/2) N)) (/ (sqrt 1/2) N) (/ (pow (sqrt 1/2) 2) (pow N 2))) in N 4.218 * [taylor]: Rewrote expression to (+ (* (- (/ (sqrt 1/2) N)) (/ (sqrt 1/2) N)) (/ (pow (sqrt 1/2) 2) (pow N 2))) 4.218 * [taylor]: Taking taylor expansion of (* (- (/ (sqrt 1/2) N)) (/ (sqrt 1/2) N)) in N 4.218 * [taylor]: Taking taylor expansion of (- (/ (sqrt 1/2) N)) in N 4.218 * [taylor]: Taking taylor expansion of (/ (sqrt 1/2) N) in N 4.218 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 4.218 * [taylor]: Taking taylor expansion of 1/2 in N 4.218 * [backup-simplify]: Simplify 1/2 into 1/2 4.218 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 4.219 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 4.219 * [taylor]: Taking taylor expansion of N in N 4.219 * [backup-simplify]: Simplify 0 into 0 4.219 * [backup-simplify]: Simplify 1 into 1 4.220 * [backup-simplify]: Simplify (/ (sqrt 1/2) 1) into (sqrt 1/2) 4.220 * [taylor]: Taking taylor expansion of (/ (sqrt 1/2) N) in N 4.220 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 4.220 * [taylor]: Taking taylor expansion of 1/2 in N 4.220 * [backup-simplify]: Simplify 1/2 into 1/2 4.220 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 4.221 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 4.221 * [taylor]: Taking taylor expansion of N in N 4.221 * [backup-simplify]: Simplify 0 into 0 4.221 * [backup-simplify]: Simplify 1 into 1 4.222 * [backup-simplify]: Simplify (/ (sqrt 1/2) 1) into (sqrt 1/2) 4.222 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1/2) 2) (pow N 2)) in N 4.222 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in N 4.222 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 4.222 * [taylor]: Taking taylor expansion of 1/2 in N 4.222 * [backup-simplify]: Simplify 1/2 into 1/2 4.223 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 4.223 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 4.223 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.223 * [taylor]: Taking taylor expansion of N in N 4.224 * [backup-simplify]: Simplify 0 into 0 4.224 * [backup-simplify]: Simplify 1 into 1 4.225 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 4.225 * [backup-simplify]: Simplify (* 1 1) into 1 4.227 * [backup-simplify]: Simplify (/ (pow (sqrt 1/2) 2) 1) into (pow (sqrt 1/2) 2) 4.227 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1/2) 2) (pow N 2)) in N 4.227 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in N 4.227 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 4.227 * [taylor]: Taking taylor expansion of 1/2 in N 4.227 * [backup-simplify]: Simplify 1/2 into 1/2 4.227 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 4.228 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 4.228 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.228 * [taylor]: Taking taylor expansion of N in N 4.228 * [backup-simplify]: Simplify 0 into 0 4.228 * [backup-simplify]: Simplify 1 into 1 4.230 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 4.230 * [backup-simplify]: Simplify (* 1 1) into 1 4.232 * [backup-simplify]: Simplify (/ (pow (sqrt 1/2) 2) 1) into (pow (sqrt 1/2) 2) 4.232 * [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 4.232 * [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)))) 4.232 * [taylor]: Taking taylor expansion of (* (/ 1/3 (pow N 2)) (/ 1 N)) in N 4.232 * [taylor]: Taking taylor expansion of (/ 1/3 (pow N 2)) in N 4.232 * [taylor]: Taking taylor expansion of 1/3 in N 4.232 * [backup-simplify]: Simplify 1/3 into 1/3 4.232 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.232 * [taylor]: Taking taylor expansion of N in N 4.232 * [backup-simplify]: Simplify 0 into 0 4.232 * [backup-simplify]: Simplify 1 into 1 4.232 * [backup-simplify]: Simplify (* 1 1) into 1 4.233 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3 4.233 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.233 * [taylor]: Taking taylor expansion of N in N 4.233 * [backup-simplify]: Simplify 0 into 0 4.233 * [backup-simplify]: Simplify 1 into 1 4.233 * [backup-simplify]: Simplify (/ 1 1) into 1 4.233 * [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 4.233 * [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 4.234 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.234 * [taylor]: Taking taylor expansion of N in N 4.234 * [backup-simplify]: Simplify 0 into 0 4.234 * [backup-simplify]: Simplify 1 into 1 4.234 * [backup-simplify]: Simplify (/ 1 1) into 1 4.234 * [taylor]: Taking taylor expansion of (fma (- (/ (sqrt 1/2) N)) (/ (sqrt 1/2) N) (/ (pow (sqrt 1/2) 2) (pow N 2))) in N 4.234 * [taylor]: Rewrote expression to (+ (* (- (/ (sqrt 1/2) N)) (/ (sqrt 1/2) N)) (/ (pow (sqrt 1/2) 2) (pow N 2))) 4.234 * [taylor]: Taking taylor expansion of (* (- (/ (sqrt 1/2) N)) (/ (sqrt 1/2) N)) in N 4.234 * [taylor]: Taking taylor expansion of (- (/ (sqrt 1/2) N)) in N 4.234 * [taylor]: Taking taylor expansion of (/ (sqrt 1/2) N) in N 4.234 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 4.234 * [taylor]: Taking taylor expansion of 1/2 in N 4.234 * [backup-simplify]: Simplify 1/2 into 1/2 4.235 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 4.235 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 4.235 * [taylor]: Taking taylor expansion of N in N 4.236 * [backup-simplify]: Simplify 0 into 0 4.236 * [backup-simplify]: Simplify 1 into 1 4.236 * [backup-simplify]: Simplify (/ (sqrt 1/2) 1) into (sqrt 1/2) 4.236 * [taylor]: Taking taylor expansion of (/ (sqrt 1/2) N) in N 4.237 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 4.237 * [taylor]: Taking taylor expansion of 1/2 in N 4.237 * [backup-simplify]: Simplify 1/2 into 1/2 4.237 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 4.238 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 4.238 * [taylor]: Taking taylor expansion of N in N 4.238 * [backup-simplify]: Simplify 0 into 0 4.238 * [backup-simplify]: Simplify 1 into 1 4.239 * [backup-simplify]: Simplify (/ (sqrt 1/2) 1) into (sqrt 1/2) 4.239 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1/2) 2) (pow N 2)) in N 4.239 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in N 4.239 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 4.239 * [taylor]: Taking taylor expansion of 1/2 in N 4.239 * [backup-simplify]: Simplify 1/2 into 1/2 4.239 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 4.240 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 4.240 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.240 * [taylor]: Taking taylor expansion of N in N 4.240 * [backup-simplify]: Simplify 0 into 0 4.240 * [backup-simplify]: Simplify 1 into 1 4.245 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 4.245 * [backup-simplify]: Simplify (* 1 1) into 1 4.246 * [backup-simplify]: Simplify (/ (pow (sqrt 1/2) 2) 1) into (pow (sqrt 1/2) 2) 4.246 * [taylor]: Taking taylor expansion of (/ (pow (sqrt 1/2) 2) (pow N 2)) in N 4.246 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in N 4.246 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 4.246 * [taylor]: Taking taylor expansion of 1/2 in N 4.246 * [backup-simplify]: Simplify 1/2 into 1/2 4.246 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 4.247 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 4.247 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.247 * [taylor]: Taking taylor expansion of N in N 4.247 * [backup-simplify]: Simplify 0 into 0 4.247 * [backup-simplify]: Simplify 1 into 1 4.248 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 4.248 * [backup-simplify]: Simplify (* 1 1) into 1 4.249 * [backup-simplify]: Simplify (/ (pow (sqrt 1/2) 2) 1) into (pow (sqrt 1/2) 2) 4.249 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 4.250 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 4.250 * [backup-simplify]: Simplify 1/3 into 1/3 4.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.250 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.251 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 4.251 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 4.252 * [backup-simplify]: Simplify (- (sqrt 1/2)) into (- (sqrt 1/2)) 4.253 * [backup-simplify]: Simplify (* (- (sqrt 1/2)) (sqrt 1/2)) into (* -1 (pow (sqrt 1/2) 2)) 4.255 * [backup-simplify]: Simplify (+ (* -1 (pow (sqrt 1/2) 2)) (pow (sqrt 1/2) 2)) into 0 4.255 * [backup-simplify]: Simplify (+ 0 0) into 0 4.256 * [backup-simplify]: Simplify (- (pow (sqrt 1/2) 2)) into (- (pow (sqrt 1/2) 2)) 4.258 * [backup-simplify]: Simplify (+ 0 (- (pow (sqrt 1/2) 2))) into (- (pow (sqrt 1/2) 2)) 4.259 * [backup-simplify]: Simplify (+ 0 (- (pow (sqrt 1/2) 2))) into (- (pow (sqrt 1/2) 2)) 4.260 * [backup-simplify]: Simplify (- (pow (sqrt 1/2) 2)) into (- (pow (sqrt 1/2) 2)) 4.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.261 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.262 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.262 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 4.263 * [backup-simplify]: Simplify (- (sqrt 1/2)) into (- (sqrt 1/2)) 4.263 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)))) into 0 4.264 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)))) into 0 4.264 * [backup-simplify]: Simplify (- 0) into 0 4.265 * [backup-simplify]: Simplify (+ (* (- (sqrt 1/2)) 0) (* 0 (sqrt 1/2))) into 0 4.265 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 4.266 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.267 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 1/2) 2) (/ 0 1)))) into 0 4.267 * [backup-simplify]: Simplify (+ 0 0) into 0 4.267 * [backup-simplify]: Simplify (+ 1 0) into 1 4.268 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 4.268 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.269 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (sqrt 1/2) 2) (/ 0 1)))) into 0 4.269 * [backup-simplify]: Simplify (- 0) into 0 4.269 * [backup-simplify]: Simplify (+ 1 0) into 1 4.269 * [backup-simplify]: Simplify (+ 0 1) into 1 4.269 * [backup-simplify]: Simplify 1 into 1 4.271 * [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))) 4.273 * [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)))) 4.273 * [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 4.274 * [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 4.274 * [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)))) 4.274 * [taylor]: Taking taylor expansion of (* (* 1/3 (pow N 2)) N) in N 4.274 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 2)) in N 4.274 * [taylor]: Taking taylor expansion of 1/3 in N 4.274 * [backup-simplify]: Simplify 1/3 into 1/3 4.274 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.274 * [taylor]: Taking taylor expansion of N in N 4.274 * [backup-simplify]: Simplify 0 into 0 4.274 * [backup-simplify]: Simplify 1 into 1 4.274 * [taylor]: Taking taylor expansion of N in N 4.274 * [backup-simplify]: Simplify 0 into 0 4.274 * [backup-simplify]: Simplify 1 into 1 4.274 * [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 4.274 * [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 4.274 * [taylor]: Taking taylor expansion of N in N 4.274 * [backup-simplify]: Simplify 0 into 0 4.274 * [backup-simplify]: Simplify 1 into 1 4.274 * [taylor]: Taking taylor expansion of (fma (- (* N (sqrt 1/2))) (* N (sqrt 1/2)) (* (pow N 2) (pow (sqrt 1/2) 2))) in N 4.274 * [taylor]: Rewrote expression to (+ (* (- (* N (sqrt 1/2))) (* N (sqrt 1/2))) (* (pow N 2) (pow (sqrt 1/2) 2))) 4.274 * [taylor]: Taking taylor expansion of (* (- (* N (sqrt 1/2))) (* N (sqrt 1/2))) in N 4.274 * [taylor]: Taking taylor expansion of (- (* N (sqrt 1/2))) in N 4.274 * [taylor]: Taking taylor expansion of (* N (sqrt 1/2)) in N 4.274 * [taylor]: Taking taylor expansion of N in N 4.274 * [backup-simplify]: Simplify 0 into 0 4.274 * [backup-simplify]: Simplify 1 into 1 4.274 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 4.274 * [taylor]: Taking taylor expansion of 1/2 in N 4.274 * [backup-simplify]: Simplify 1/2 into 1/2 4.275 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 4.276 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 4.276 * [taylor]: Taking taylor expansion of (* N (sqrt 1/2)) in N 4.276 * [taylor]: Taking taylor expansion of N in N 4.276 * [backup-simplify]: Simplify 0 into 0 4.276 * [backup-simplify]: Simplify 1 into 1 4.276 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 4.276 * [taylor]: Taking taylor expansion of 1/2 in N 4.276 * [backup-simplify]: Simplify 1/2 into 1/2 4.276 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 4.277 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 4.277 * [taylor]: Taking taylor expansion of (* (pow N 2) (pow (sqrt 1/2) 2)) in N 4.277 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.277 * [taylor]: Taking taylor expansion of N in N 4.277 * [backup-simplify]: Simplify 0 into 0 4.277 * [backup-simplify]: Simplify 1 into 1 4.277 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in N 4.277 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 4.277 * [taylor]: Taking taylor expansion of 1/2 in N 4.277 * [backup-simplify]: Simplify 1/2 into 1/2 4.278 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 4.278 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 4.278 * [taylor]: Taking taylor expansion of (* (pow N 2) (pow (sqrt 1/2) 2)) in N 4.278 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.278 * [taylor]: Taking taylor expansion of N in N 4.279 * [backup-simplify]: Simplify 0 into 0 4.279 * [backup-simplify]: Simplify 1 into 1 4.279 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in N 4.279 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 4.279 * [taylor]: Taking taylor expansion of 1/2 in N 4.279 * [backup-simplify]: Simplify 1/2 into 1/2 4.279 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 4.280 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 4.280 * [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 4.280 * [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)))) 4.280 * [taylor]: Taking taylor expansion of (* (* 1/3 (pow N 2)) N) in N 4.280 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 2)) in N 4.280 * [taylor]: Taking taylor expansion of 1/3 in N 4.280 * [backup-simplify]: Simplify 1/3 into 1/3 4.280 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.280 * [taylor]: Taking taylor expansion of N in N 4.280 * [backup-simplify]: Simplify 0 into 0 4.280 * [backup-simplify]: Simplify 1 into 1 4.280 * [taylor]: Taking taylor expansion of N in N 4.280 * [backup-simplify]: Simplify 0 into 0 4.280 * [backup-simplify]: Simplify 1 into 1 4.280 * [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 4.280 * [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 4.280 * [taylor]: Taking taylor expansion of N in N 4.280 * [backup-simplify]: Simplify 0 into 0 4.280 * [backup-simplify]: Simplify 1 into 1 4.281 * [taylor]: Taking taylor expansion of (fma (- (* N (sqrt 1/2))) (* N (sqrt 1/2)) (* (pow N 2) (pow (sqrt 1/2) 2))) in N 4.281 * [taylor]: Rewrote expression to (+ (* (- (* N (sqrt 1/2))) (* N (sqrt 1/2))) (* (pow N 2) (pow (sqrt 1/2) 2))) 4.281 * [taylor]: Taking taylor expansion of (* (- (* N (sqrt 1/2))) (* N (sqrt 1/2))) in N 4.281 * [taylor]: Taking taylor expansion of (- (* N (sqrt 1/2))) in N 4.281 * [taylor]: Taking taylor expansion of (* N (sqrt 1/2)) in N 4.281 * [taylor]: Taking taylor expansion of N in N 4.281 * [backup-simplify]: Simplify 0 into 0 4.281 * [backup-simplify]: Simplify 1 into 1 4.281 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 4.281 * [taylor]: Taking taylor expansion of 1/2 in N 4.281 * [backup-simplify]: Simplify 1/2 into 1/2 4.281 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 4.282 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 4.282 * [taylor]: Taking taylor expansion of (* N (sqrt 1/2)) in N 4.282 * [taylor]: Taking taylor expansion of N in N 4.282 * [backup-simplify]: Simplify 0 into 0 4.282 * [backup-simplify]: Simplify 1 into 1 4.282 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 4.282 * [taylor]: Taking taylor expansion of 1/2 in N 4.282 * [backup-simplify]: Simplify 1/2 into 1/2 4.283 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 4.283 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 4.283 * [taylor]: Taking taylor expansion of (* (pow N 2) (pow (sqrt 1/2) 2)) in N 4.283 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.283 * [taylor]: Taking taylor expansion of N in N 4.283 * [backup-simplify]: Simplify 0 into 0 4.283 * [backup-simplify]: Simplify 1 into 1 4.283 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in N 4.283 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 4.283 * [taylor]: Taking taylor expansion of 1/2 in N 4.283 * [backup-simplify]: Simplify 1/2 into 1/2 4.284 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 4.284 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 4.284 * [taylor]: Taking taylor expansion of (* (pow N 2) (pow (sqrt 1/2) 2)) in N 4.284 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.284 * [taylor]: Taking taylor expansion of N in N 4.284 * [backup-simplify]: Simplify 0 into 0 4.284 * [backup-simplify]: Simplify 1 into 1 4.284 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in N 4.284 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 4.284 * [taylor]: Taking taylor expansion of 1/2 in N 4.284 * [backup-simplify]: Simplify 1/2 into 1/2 4.285 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 4.285 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 4.285 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0 4.286 * [backup-simplify]: Simplify (- 0) into 0 4.286 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0 4.286 * [backup-simplify]: Simplify (* 0 0) into 0 4.286 * [backup-simplify]: Simplify (+ 0 0) into 0 4.287 * [backup-simplify]: Simplify (+ 0 0) into 0 4.287 * [backup-simplify]: Simplify (+ 0 0) into 0 4.287 * [backup-simplify]: Simplify (+ 0 0) into 0 4.287 * [backup-simplify]: Simplify 0 into 0 4.287 * [backup-simplify]: Simplify (- 0) into 0 4.289 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 1/2))) into (sqrt 1/2) 4.290 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 1/2))) into (sqrt 1/2) 4.290 * [backup-simplify]: Simplify (- (sqrt 1/2)) into (- (sqrt 1/2)) 4.291 * [backup-simplify]: Simplify (+ (* 0 (sqrt 1/2)) (* (- (sqrt 1/2)) 0)) into 0 4.291 * [backup-simplify]: Simplify (+ 0 0) into 0 4.291 * [backup-simplify]: Simplify (+ 1 0) into 1 4.292 * [backup-simplify]: Simplify (+ 1 0) into 1 4.292 * [backup-simplify]: Simplify (+ 0 1) into 1 4.292 * [backup-simplify]: Simplify 1 into 1 4.292 * [backup-simplify]: Simplify (* 1 1) into 1 4.293 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 4.293 * [backup-simplify]: Simplify (* 1/3 0) into 0 4.293 * [backup-simplify]: Simplify (- 0) into 0 4.294 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 4.294 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 1/2)))) into 0 4.295 * [backup-simplify]: Simplify (- (sqrt 1/2)) into (- (sqrt 1/2)) 4.296 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 4.296 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 1/2)))) into 0 4.296 * [backup-simplify]: Simplify (- 0) into 0 4.299 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- (sqrt 1/2)) (sqrt 1/2)) (* 0 0))) into (- (pow (sqrt 1/2) 2)) 4.299 * [backup-simplify]: Simplify (* 1 1) into 1 4.300 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 4.301 * [backup-simplify]: Simplify (* 1 (pow (sqrt 1/2) 2)) into (pow (sqrt 1/2) 2) 4.303 * [backup-simplify]: Simplify (+ (- (pow (sqrt 1/2) 2)) (pow (sqrt 1/2) 2)) into 0 4.303 * [backup-simplify]: Simplify (+ 0 0) into 0 4.303 * [backup-simplify]: Simplify (* 1 1) into 1 4.304 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 4.305 * [backup-simplify]: Simplify (* 1 (pow (sqrt 1/2) 2)) into (pow (sqrt 1/2) 2) 4.306 * [backup-simplify]: Simplify (- (pow (sqrt 1/2) 2)) into (- (pow (sqrt 1/2) 2)) 4.307 * [backup-simplify]: Simplify (+ 0 (- (pow (sqrt 1/2) 2))) into (- (pow (sqrt 1/2) 2)) 4.309 * [backup-simplify]: Simplify (+ 0 (- (pow (sqrt 1/2) 2))) into (- (pow (sqrt 1/2) 2)) 4.310 * [backup-simplify]: Simplify (- (pow (sqrt 1/2) 2)) into (- (pow (sqrt 1/2) 2)) 4.310 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.310 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 4.311 * [backup-simplify]: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 4.311 * [backup-simplify]: Simplify (- 0) into 0 4.312 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 4.313 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 1/2))))) into 0 4.313 * [backup-simplify]: Simplify (- (sqrt 1/2)) into (- (sqrt 1/2)) 4.313 * [backup-simplify]: Simplify (- 0) into 0 4.314 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 4.315 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 1/2))))) into 0 4.315 * [backup-simplify]: Simplify (- 0) into 0 4.317 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (- (sqrt 1/2)) 0) (+ (* 0 (sqrt 1/2)) (* 0 0)))) into 0 4.317 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 4.318 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.319 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (sqrt 1/2) 2))) into 0 4.319 * [backup-simplify]: Simplify (+ 0 0) into 0 4.320 * [backup-simplify]: Simplify (+ 0 0) into 0 4.321 * [backup-simplify]: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 4.321 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.322 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (sqrt 1/2) 2))) into 0 4.323 * [backup-simplify]: Simplify (- 0) into 0 4.323 * [backup-simplify]: Simplify (+ 0 0) into 0 4.323 * [backup-simplify]: Simplify (+ 1/3 0) into 1/3 4.323 * [backup-simplify]: Simplify 1/3 into 1/3 4.325 * [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))) 4.329 * [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)))) 4.329 * [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 4.329 * [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 4.329 * [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)))) 4.329 * [taylor]: Taking taylor expansion of (* (* 1/3 (pow N 2)) (* -1 N)) in N 4.329 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 2)) in N 4.329 * [taylor]: Taking taylor expansion of 1/3 in N 4.329 * [backup-simplify]: Simplify 1/3 into 1/3 4.329 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.329 * [taylor]: Taking taylor expansion of N in N 4.329 * [backup-simplify]: Simplify 0 into 0 4.329 * [backup-simplify]: Simplify 1 into 1 4.329 * [taylor]: Taking taylor expansion of (* -1 N) in N 4.329 * [taylor]: Taking taylor expansion of -1 in N 4.329 * [backup-simplify]: Simplify -1 into -1 4.329 * [taylor]: Taking taylor expansion of N in N 4.329 * [backup-simplify]: Simplify 0 into 0 4.329 * [backup-simplify]: Simplify 1 into 1 4.329 * [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 4.329 * [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 4.329 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt (/ -1 N)) 2)) in N 4.329 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 N)) 2) in N 4.329 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 4.329 * [taylor]: Taking taylor expansion of (/ -1 N) in N 4.329 * [taylor]: Taking taylor expansion of -1 in N 4.329 * [backup-simplify]: Simplify -1 into -1 4.329 * [taylor]: Taking taylor expansion of N in N 4.329 * [backup-simplify]: Simplify 0 into 0 4.329 * [backup-simplify]: Simplify 1 into 1 4.330 * [backup-simplify]: Simplify (/ -1 1) into -1 4.330 * [backup-simplify]: Simplify (sqrt 0) into 0 4.332 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.332 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 4.333 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 4.333 * [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 4.333 * [taylor]: Rewrote expression to (+ (* (* N (sqrt 1/2)) (* -1 (* N (sqrt 1/2)))) (* (pow N 2) (pow (sqrt 1/2) 2))) 4.333 * [taylor]: Taking taylor expansion of (* (* N (sqrt 1/2)) (* -1 (* N (sqrt 1/2)))) in N 4.333 * [taylor]: Taking taylor expansion of (* N (sqrt 1/2)) in N 4.333 * [taylor]: Taking taylor expansion of N in N 4.333 * [backup-simplify]: Simplify 0 into 0 4.333 * [backup-simplify]: Simplify 1 into 1 4.333 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 4.333 * [taylor]: Taking taylor expansion of 1/2 in N 4.333 * [backup-simplify]: Simplify 1/2 into 1/2 4.333 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 4.334 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 4.334 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt 1/2))) in N 4.334 * [taylor]: Taking taylor expansion of -1 in N 4.334 * [backup-simplify]: Simplify -1 into -1 4.334 * [taylor]: Taking taylor expansion of (* N (sqrt 1/2)) in N 4.334 * [taylor]: Taking taylor expansion of N in N 4.334 * [backup-simplify]: Simplify 0 into 0 4.334 * [backup-simplify]: Simplify 1 into 1 4.334 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 4.334 * [taylor]: Taking taylor expansion of 1/2 in N 4.334 * [backup-simplify]: Simplify 1/2 into 1/2 4.335 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 4.335 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 4.336 * [taylor]: Taking taylor expansion of (* (pow N 2) (pow (sqrt 1/2) 2)) in N 4.336 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.336 * [taylor]: Taking taylor expansion of N in N 4.336 * [backup-simplify]: Simplify 0 into 0 4.336 * [backup-simplify]: Simplify 1 into 1 4.336 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in N 4.336 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 4.336 * [taylor]: Taking taylor expansion of 1/2 in N 4.336 * [backup-simplify]: Simplify 1/2 into 1/2 4.336 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 4.337 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 4.337 * [taylor]: Taking taylor expansion of (* (pow N 2) (pow (sqrt 1/2) 2)) in N 4.337 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.337 * [taylor]: Taking taylor expansion of N in N 4.337 * [backup-simplify]: Simplify 0 into 0 4.337 * [backup-simplify]: Simplify 1 into 1 4.337 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in N 4.337 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 4.337 * [taylor]: Taking taylor expansion of 1/2 in N 4.337 * [backup-simplify]: Simplify 1/2 into 1/2 4.337 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 4.338 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 4.338 * [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 4.338 * [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)))) 4.338 * [taylor]: Taking taylor expansion of (* (* 1/3 (pow N 2)) (* -1 N)) in N 4.338 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 2)) in N 4.338 * [taylor]: Taking taylor expansion of 1/3 in N 4.338 * [backup-simplify]: Simplify 1/3 into 1/3 4.338 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.338 * [taylor]: Taking taylor expansion of N in N 4.338 * [backup-simplify]: Simplify 0 into 0 4.338 * [backup-simplify]: Simplify 1 into 1 4.339 * [taylor]: Taking taylor expansion of (* -1 N) in N 4.339 * [taylor]: Taking taylor expansion of -1 in N 4.339 * [backup-simplify]: Simplify -1 into -1 4.339 * [taylor]: Taking taylor expansion of N in N 4.339 * [backup-simplify]: Simplify 0 into 0 4.339 * [backup-simplify]: Simplify 1 into 1 4.339 * [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 4.339 * [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 4.339 * [taylor]: Taking taylor expansion of (/ 1 (pow (sqrt (/ -1 N)) 2)) in N 4.339 * [taylor]: Taking taylor expansion of (pow (sqrt (/ -1 N)) 2) in N 4.339 * [taylor]: Taking taylor expansion of (sqrt (/ -1 N)) in N 4.339 * [taylor]: Taking taylor expansion of (/ -1 N) in N 4.339 * [taylor]: Taking taylor expansion of -1 in N 4.339 * [backup-simplify]: Simplify -1 into -1 4.339 * [taylor]: Taking taylor expansion of N in N 4.339 * [backup-simplify]: Simplify 0 into 0 4.339 * [backup-simplify]: Simplify 1 into 1 4.339 * [backup-simplify]: Simplify (/ -1 1) into -1 4.340 * [backup-simplify]: Simplify (sqrt 0) into 0 4.341 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 4.341 * [backup-simplify]: Simplify (* +nan.0 +nan.0) into +nan.0 4.342 * [backup-simplify]: Simplify (/ 1 +nan.0) into +nan.0 4.342 * [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 4.342 * [taylor]: Rewrote expression to (+ (* (* N (sqrt 1/2)) (* -1 (* N (sqrt 1/2)))) (* (pow N 2) (pow (sqrt 1/2) 2))) 4.342 * [taylor]: Taking taylor expansion of (* (* N (sqrt 1/2)) (* -1 (* N (sqrt 1/2)))) in N 4.342 * [taylor]: Taking taylor expansion of (* N (sqrt 1/2)) in N 4.342 * [taylor]: Taking taylor expansion of N in N 4.342 * [backup-simplify]: Simplify 0 into 0 4.342 * [backup-simplify]: Simplify 1 into 1 4.342 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 4.342 * [taylor]: Taking taylor expansion of 1/2 in N 4.342 * [backup-simplify]: Simplify 1/2 into 1/2 4.343 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 4.343 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 4.343 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt 1/2))) in N 4.343 * [taylor]: Taking taylor expansion of -1 in N 4.343 * [backup-simplify]: Simplify -1 into -1 4.343 * [taylor]: Taking taylor expansion of (* N (sqrt 1/2)) in N 4.343 * [taylor]: Taking taylor expansion of N in N 4.343 * [backup-simplify]: Simplify 0 into 0 4.343 * [backup-simplify]: Simplify 1 into 1 4.343 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 4.343 * [taylor]: Taking taylor expansion of 1/2 in N 4.344 * [backup-simplify]: Simplify 1/2 into 1/2 4.344 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 4.350 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 4.350 * [taylor]: Taking taylor expansion of (* (pow N 2) (pow (sqrt 1/2) 2)) in N 4.350 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.350 * [taylor]: Taking taylor expansion of N in N 4.350 * [backup-simplify]: Simplify 0 into 0 4.350 * [backup-simplify]: Simplify 1 into 1 4.350 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in N 4.350 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 4.350 * [taylor]: Taking taylor expansion of 1/2 in N 4.350 * [backup-simplify]: Simplify 1/2 into 1/2 4.351 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 4.351 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 4.351 * [taylor]: Taking taylor expansion of (* (pow N 2) (pow (sqrt 1/2) 2)) in N 4.351 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.352 * [taylor]: Taking taylor expansion of N in N 4.352 * [backup-simplify]: Simplify 0 into 0 4.352 * [backup-simplify]: Simplify 1 into 1 4.352 * [taylor]: Taking taylor expansion of (pow (sqrt 1/2) 2) in N 4.352 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 4.352 * [taylor]: Taking taylor expansion of 1/2 in N 4.352 * [backup-simplify]: Simplify 1/2 into 1/2 4.352 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 4.353 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 4.353 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0 4.354 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0 4.354 * [backup-simplify]: Simplify (* -1 0) into 0 4.355 * [backup-simplify]: Simplify (* 0 0) into 0 4.355 * [backup-simplify]: Simplify (+ 0 0) into 0 4.356 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 4.356 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 4.357 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 4.358 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.359 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 4.362 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 4.363 * [backup-simplify]: Simplify (+ (* +nan.0 +nan.0) (* +nan.0 +nan.0)) into (- +nan.0) 4.366 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) +nan.0)))) into (- +nan.0) 4.368 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 1/2))) into (sqrt 1/2) 4.370 * [backup-simplify]: Simplify (+ (* -1 (sqrt 1/2)) (* 0 0)) into (- (sqrt 1/2)) 4.372 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 1/2))) into (sqrt 1/2) 4.373 * [backup-simplify]: Simplify (+ (* 0 (- (sqrt 1/2))) (* (sqrt 1/2) 0)) into 0 4.373 * [backup-simplify]: Simplify (+ 0 0) into 0 4.374 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 4.375 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 4.376 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 4.376 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 4.377 * [backup-simplify]: Simplify (* 1 1) into 1 4.377 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 4.378 * [backup-simplify]: Simplify (* -1 0) into 0 4.378 * [backup-simplify]: Simplify (* 1/3 0) into 0 4.379 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.383 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 4.385 * [backup-simplify]: Simplify (+ (* +nan.0 +nan.0) (+ (* +nan.0 +nan.0) (* +nan.0 +nan.0))) into (- +nan.0) 4.390 * [backup-simplify]: Simplify (- (+ (* +nan.0 (/ (- +nan.0) +nan.0)) (* (- +nan.0) (/ (- +nan.0) +nan.0)))) into (- +nan.0) 4.391 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 4.392 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 1/2)))) into 0 4.393 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (sqrt 1/2)) (* 0 0))) into 0 4.394 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 4.396 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 1/2)))) into 0 4.400 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (sqrt 1/2) (- (sqrt 1/2))) (* 0 0))) into (- (pow (sqrt 1/2) 2)) 4.400 * [backup-simplify]: Simplify (* 1 1) into 1 4.401 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 4.403 * [backup-simplify]: Simplify (* 1 (pow (sqrt 1/2) 2)) into (pow (sqrt 1/2) 2) 4.406 * [backup-simplify]: Simplify (+ (- (pow (sqrt 1/2) 2)) (pow (sqrt 1/2) 2)) into 0 4.407 * [backup-simplify]: Simplify (+ (- +nan.0) 0) into (- +nan.0) 4.407 * [backup-simplify]: Simplify (* 1 1) into 1 4.408 * [backup-simplify]: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 4.410 * [backup-simplify]: Simplify (* 1 (pow (sqrt 1/2) 2)) into (pow (sqrt 1/2) 2) 4.412 * [backup-simplify]: Simplify (- (pow (sqrt 1/2) 2)) into (- (pow (sqrt 1/2) 2)) 4.414 * [backup-simplify]: Simplify (+ (- +nan.0) (- (pow (sqrt 1/2) 2))) into (- (+ (pow (sqrt 1/2) 2) (- +nan.0))) 4.419 * [backup-simplify]: Simplify (+ 0 (- (+ (pow (sqrt 1/2) 2) (- +nan.0)))) into (- (+ (pow (sqrt 1/2) 2) (- +nan.0))) 4.422 * [backup-simplify]: Simplify (- (+ (pow (sqrt 1/2) 2) (- +nan.0))) into (- (+ (pow (sqrt 1/2) 2) (- +nan.0))) 4.426 * [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))))) 4.426 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 4.427 * [backup-simplify]: Simplify (/ 1/3 (* N N)) into (/ 1/3 (pow N 2)) 4.427 * [approximate]: Taking taylor expansion of (/ 1/3 (pow N 2)) in (N) around 0 4.427 * [taylor]: Taking taylor expansion of (/ 1/3 (pow N 2)) in N 4.427 * [taylor]: Taking taylor expansion of 1/3 in N 4.427 * [backup-simplify]: Simplify 1/3 into 1/3 4.427 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.427 * [taylor]: Taking taylor expansion of N in N 4.427 * [backup-simplify]: Simplify 0 into 0 4.427 * [backup-simplify]: Simplify 1 into 1 4.427 * [backup-simplify]: Simplify (* 1 1) into 1 4.428 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3 4.428 * [taylor]: Taking taylor expansion of (/ 1/3 (pow N 2)) in N 4.428 * [taylor]: Taking taylor expansion of 1/3 in N 4.428 * [backup-simplify]: Simplify 1/3 into 1/3 4.428 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.428 * [taylor]: Taking taylor expansion of N in N 4.428 * [backup-simplify]: Simplify 0 into 0 4.428 * [backup-simplify]: Simplify 1 into 1 4.428 * [backup-simplify]: Simplify (* 1 1) into 1 4.429 * [backup-simplify]: Simplify (/ 1/3 1) into 1/3 4.429 * [backup-simplify]: Simplify 1/3 into 1/3 4.429 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.430 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)))) into 0 4.430 * [backup-simplify]: Simplify 0 into 0 4.431 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.432 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.432 * [backup-simplify]: Simplify 0 into 0 4.433 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.435 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.435 * [backup-simplify]: Simplify 0 into 0 4.436 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.437 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.437 * [backup-simplify]: Simplify 0 into 0 4.439 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.440 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.440 * [backup-simplify]: Simplify 0 into 0 4.442 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.443 * [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 4.443 * [backup-simplify]: Simplify 0 into 0 4.443 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 N) 2)) into (/ 1/3 (pow N 2)) 4.444 * [backup-simplify]: Simplify (/ 1/3 (* (/ 1 N) (/ 1 N))) into (* 1/3 (pow N 2)) 4.444 * [approximate]: Taking taylor expansion of (* 1/3 (pow N 2)) in (N) around 0 4.444 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 2)) in N 4.444 * [taylor]: Taking taylor expansion of 1/3 in N 4.444 * [backup-simplify]: Simplify 1/3 into 1/3 4.444 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.444 * [taylor]: Taking taylor expansion of N in N 4.444 * [backup-simplify]: Simplify 0 into 0 4.444 * [backup-simplify]: Simplify 1 into 1 4.444 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 2)) in N 4.444 * [taylor]: Taking taylor expansion of 1/3 in N 4.444 * [backup-simplify]: Simplify 1/3 into 1/3 4.444 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.444 * [taylor]: Taking taylor expansion of N in N 4.444 * [backup-simplify]: Simplify 0 into 0 4.444 * [backup-simplify]: Simplify 1 into 1 4.445 * [backup-simplify]: Simplify (* 1 1) into 1 4.445 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 4.445 * [backup-simplify]: Simplify 1/3 into 1/3 4.446 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.447 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 4.447 * [backup-simplify]: Simplify 0 into 0 4.448 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.449 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 4.449 * [backup-simplify]: Simplify 0 into 0 4.450 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.451 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.451 * [backup-simplify]: Simplify 0 into 0 4.452 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.453 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.453 * [backup-simplify]: Simplify 0 into 0 4.454 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.455 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.455 * [backup-simplify]: Simplify 0 into 0 4.456 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.457 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.457 * [backup-simplify]: Simplify 0 into 0 4.458 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 N) 2)) into (/ 1/3 (pow N 2)) 4.458 * [backup-simplify]: Simplify (/ 1/3 (* (/ 1 (- N)) (/ 1 (- N)))) into (* 1/3 (pow N 2)) 4.458 * [approximate]: Taking taylor expansion of (* 1/3 (pow N 2)) in (N) around 0 4.458 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 2)) in N 4.458 * [taylor]: Taking taylor expansion of 1/3 in N 4.458 * [backup-simplify]: Simplify 1/3 into 1/3 4.458 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.458 * [taylor]: Taking taylor expansion of N in N 4.458 * [backup-simplify]: Simplify 0 into 0 4.458 * [backup-simplify]: Simplify 1 into 1 4.458 * [taylor]: Taking taylor expansion of (* 1/3 (pow N 2)) in N 4.458 * [taylor]: Taking taylor expansion of 1/3 in N 4.458 * [backup-simplify]: Simplify 1/3 into 1/3 4.458 * [taylor]: Taking taylor expansion of (pow N 2) in N 4.458 * [taylor]: Taking taylor expansion of N in N 4.458 * [backup-simplify]: Simplify 0 into 0 4.458 * [backup-simplify]: Simplify 1 into 1 4.458 * [backup-simplify]: Simplify (* 1 1) into 1 4.459 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 4.459 * [backup-simplify]: Simplify 1/3 into 1/3 4.459 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.459 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 1)) into 0 4.459 * [backup-simplify]: Simplify 0 into 0 4.460 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.461 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 1))) into 0 4.461 * [backup-simplify]: Simplify 0 into 0 4.461 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.462 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.462 * [backup-simplify]: Simplify 0 into 0 4.463 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.463 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.463 * [backup-simplify]: Simplify 0 into 0 4.464 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.465 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.465 * [backup-simplify]: Simplify 0 into 0 4.466 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.467 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.467 * [backup-simplify]: Simplify 0 into 0 4.467 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (- N)) 2)) into (/ 1/3 (pow N 2)) 4.467 * * * * [progress]: [ 4 / 4 ] generating series at (2 3 2 3 2) 4.467 * [backup-simplify]: Simplify (/ (sqrt 1/2) N) into (/ (sqrt 1/2) N) 4.467 * [approximate]: Taking taylor expansion of (/ (sqrt 1/2) N) in (N) around 0 4.467 * [taylor]: Taking taylor expansion of (/ (sqrt 1/2) N) in N 4.467 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 4.467 * [taylor]: Taking taylor expansion of 1/2 in N 4.467 * [backup-simplify]: Simplify 1/2 into 1/2 4.468 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 4.468 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 4.468 * [taylor]: Taking taylor expansion of N in N 4.468 * [backup-simplify]: Simplify 0 into 0 4.468 * [backup-simplify]: Simplify 1 into 1 4.469 * [backup-simplify]: Simplify (/ (sqrt 1/2) 1) into (sqrt 1/2) 4.469 * [taylor]: Taking taylor expansion of (/ (sqrt 1/2) N) in N 4.469 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 4.469 * [taylor]: Taking taylor expansion of 1/2 in N 4.469 * [backup-simplify]: Simplify 1/2 into 1/2 4.469 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 4.470 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 4.470 * [taylor]: Taking taylor expansion of N in N 4.470 * [backup-simplify]: Simplify 0 into 0 4.470 * [backup-simplify]: Simplify 1 into 1 4.470 * [backup-simplify]: Simplify (/ (sqrt 1/2) 1) into (sqrt 1/2) 4.471 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 4.471 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)))) into 0 4.471 * [backup-simplify]: Simplify 0 into 0 4.472 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 4.473 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.473 * [backup-simplify]: Simplify 0 into 0 4.473 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 4.474 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.474 * [backup-simplify]: Simplify 0 into 0 4.479 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 4.480 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.480 * [backup-simplify]: Simplify 0 into 0 4.481 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 4.481 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.481 * [backup-simplify]: Simplify 0 into 0 4.482 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 4.483 * [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 4.483 * [backup-simplify]: Simplify 0 into 0 4.483 * [backup-simplify]: Simplify (* (sqrt 1/2) (/ 1 N)) into (/ (sqrt 1/2) N) 4.484 * [backup-simplify]: Simplify (/ (sqrt 1/2) (/ 1 N)) into (* N (sqrt 1/2)) 4.484 * [approximate]: Taking taylor expansion of (* N (sqrt 1/2)) in (N) around 0 4.484 * [taylor]: Taking taylor expansion of (* N (sqrt 1/2)) in N 4.484 * [taylor]: Taking taylor expansion of N in N 4.484 * [backup-simplify]: Simplify 0 into 0 4.484 * [backup-simplify]: Simplify 1 into 1 4.484 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 4.484 * [taylor]: Taking taylor expansion of 1/2 in N 4.484 * [backup-simplify]: Simplify 1/2 into 1/2 4.484 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 4.485 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 4.485 * [taylor]: Taking taylor expansion of (* N (sqrt 1/2)) in N 4.485 * [taylor]: Taking taylor expansion of N in N 4.485 * [backup-simplify]: Simplify 0 into 0 4.485 * [backup-simplify]: Simplify 1 into 1 4.485 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 4.485 * [taylor]: Taking taylor expansion of 1/2 in N 4.485 * [backup-simplify]: Simplify 1/2 into 1/2 4.485 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 4.485 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 4.486 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0 4.486 * [backup-simplify]: Simplify 0 into 0 4.487 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 1/2))) into (sqrt 1/2) 4.487 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 4.489 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 4.490 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 1/2)))) into 0 4.490 * [backup-simplify]: Simplify 0 into 0 4.491 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 4.492 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 1/2))))) into 0 4.492 * [backup-simplify]: Simplify 0 into 0 4.494 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 4.495 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2)))))) into 0 4.495 * [backup-simplify]: Simplify 0 into 0 4.497 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 4.498 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2))))))) into 0 4.498 * [backup-simplify]: Simplify 0 into 0 4.500 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 4.502 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2)))))))) into 0 4.502 * [backup-simplify]: Simplify 0 into 0 4.503 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 4.505 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2))))))))) into 0 4.505 * [backup-simplify]: Simplify 0 into 0 4.506 * [backup-simplify]: Simplify (* (sqrt 1/2) (/ 1 N)) into (/ (sqrt 1/2) N) 4.506 * [backup-simplify]: Simplify (/ (sqrt 1/2) (/ 1 (- N))) into (* -1 (* N (sqrt 1/2))) 4.506 * [approximate]: Taking taylor expansion of (* -1 (* N (sqrt 1/2))) in (N) around 0 4.506 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt 1/2))) in N 4.506 * [taylor]: Taking taylor expansion of -1 in N 4.506 * [backup-simplify]: Simplify -1 into -1 4.506 * [taylor]: Taking taylor expansion of (* N (sqrt 1/2)) in N 4.507 * [taylor]: Taking taylor expansion of N in N 4.507 * [backup-simplify]: Simplify 0 into 0 4.507 * [backup-simplify]: Simplify 1 into 1 4.507 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 4.507 * [taylor]: Taking taylor expansion of 1/2 in N 4.507 * [backup-simplify]: Simplify 1/2 into 1/2 4.507 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 4.508 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 4.508 * [taylor]: Taking taylor expansion of (* -1 (* N (sqrt 1/2))) in N 4.508 * [taylor]: Taking taylor expansion of -1 in N 4.508 * [backup-simplify]: Simplify -1 into -1 4.508 * [taylor]: Taking taylor expansion of (* N (sqrt 1/2)) in N 4.508 * [taylor]: Taking taylor expansion of N in N 4.508 * [backup-simplify]: Simplify 0 into 0 4.508 * [backup-simplify]: Simplify 1 into 1 4.508 * [taylor]: Taking taylor expansion of (sqrt 1/2) in N 4.508 * [taylor]: Taking taylor expansion of 1/2 in N 4.508 * [backup-simplify]: Simplify 1/2 into 1/2 4.508 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 4.509 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 4.510 * [backup-simplify]: Simplify (* 0 (sqrt 1/2)) into 0 4.510 * [backup-simplify]: Simplify (* -1 0) into 0 4.510 * [backup-simplify]: Simplify 0 into 0 4.512 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 1/2))) into (sqrt 1/2) 4.514 * [backup-simplify]: Simplify (+ (* -1 (sqrt 1/2)) (* 0 0)) into (- (sqrt 1/2)) 4.515 * [backup-simplify]: Simplify (- (sqrt 1/2)) into (- (sqrt 1/2)) 4.516 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 4.517 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 1/2)))) into 0 4.518 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (sqrt 1/2)) (* 0 0))) into 0 4.518 * [backup-simplify]: Simplify 0 into 0 4.520 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 4.521 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 1/2))))) into 0 4.522 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (sqrt 1/2)) (* 0 0)))) into 0 4.522 * [backup-simplify]: Simplify 0 into 0 4.524 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 4.525 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2)))))) into 0 4.527 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sqrt 1/2)) (* 0 0))))) into 0 4.527 * [backup-simplify]: Simplify 0 into 0 4.528 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 4.530 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2))))))) into 0 4.532 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sqrt 1/2)) (* 0 0)))))) into 0 4.532 * [backup-simplify]: Simplify 0 into 0 4.533 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 4.535 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2)))))))) into 0 4.537 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sqrt 1/2)) (* 0 0))))))) into 0 4.537 * [backup-simplify]: Simplify 0 into 0 4.538 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 4.540 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 1/2))))))))) into 0 4.541 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sqrt 1/2)) (* 0 0)))))))) into 0 4.541 * [backup-simplify]: Simplify 0 into 0 4.542 * [backup-simplify]: Simplify (* (- (sqrt 1/2)) (/ 1 (- N))) into (/ (sqrt 1/2) N) 4.542 * * * [progress]: simplifying candidates 4.542 * * * * [progress]: [ 1 / 100 ] simplifiying candidate # 4.542 * * * * [progress]: [ 2 / 100 ] simplifiying candidate # 4.542 * * * * [progress]: [ 3 / 100 ] simplifiying candidate # 4.542 * * * * [progress]: [ 4 / 100 ] simplifiying candidate # 4.542 * * * * [progress]: [ 5 / 100 ] simplifiying candidate # 4.542 * * * * [progress]: [ 6 / 100 ] simplifiying candidate # 4.542 * * * * [progress]: [ 7 / 100 ] simplifiying candidate # 4.542 * * * * [progress]: [ 8 / 100 ] simplifiying candidate # 4.542 * * * * [progress]: [ 9 / 100 ] simplifiying candidate # 4.542 * * * * [progress]: [ 10 / 100 ] simplifiying candidate # 4.542 * * * * [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))))))))> 4.542 * * * * [progress]: [ 12 / 100 ] simplifiying candidate # 4.542 * * * * [progress]: [ 13 / 100 ] simplifiying candidate # 4.542 * * * * [progress]: [ 14 / 100 ] simplifiying candidate # 4.542 * * * * [progress]: [ 15 / 100 ] simplifiying candidate # 4.542 * * * * [progress]: [ 16 / 100 ] simplifiying candidate # 4.543 * * * * [progress]: [ 17 / 100 ] simplifiying candidate # 4.543 * * * * [progress]: [ 18 / 100 ] simplifiying candidate # 4.543 * * * * [progress]: [ 19 / 100 ] simplifiying candidate # 4.543 * * * * [progress]: [ 20 / 100 ] simplifiying candidate # 4.543 * * * * [progress]: [ 21 / 100 ] simplifiying candidate # 4.543 * * * * [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))))))))> 4.543 * * * * [progress]: [ 23 / 100 ] simplifiying candidate # 4.543 * * * * [progress]: [ 24 / 100 ] simplifiying candidate # 4.543 * * * * [progress]: [ 25 / 100 ] simplifiying candidate # 4.543 * * * * [progress]: [ 26 / 100 ] simplifiying candidate # 4.543 * * * * [progress]: [ 27 / 100 ] simplifiying candidate # 4.543 * * * * [progress]: [ 28 / 100 ] simplifiying candidate # 4.543 * * * * [progress]: [ 29 / 100 ] simplifiying candidate # 4.543 * * * * [progress]: [ 30 / 100 ] simplifiying candidate # 4.543 * * * * [progress]: [ 31 / 100 ] simplifiying candidate # 4.543 * * * * [progress]: [ 32 / 100 ] simplifiying candidate # 4.543 * * * * [progress]: [ 33 / 100 ] simplifiying candidate # 4.543 * * * * [progress]: [ 34 / 100 ] simplifiying candidate # 4.543 * * * * [progress]: [ 35 / 100 ] simplifiying candidate # 4.543 * * * * [progress]: [ 36 / 100 ] simplifiying candidate # 4.543 * * * * [progress]: [ 37 / 100 ] simplifiying candidate # 4.543 * * * * [progress]: [ 38 / 100 ] simplifiying candidate # 4.544 * * * * [progress]: [ 39 / 100 ] simplifiying candidate # 4.544 * * * * [progress]: [ 40 / 100 ] simplifiying candidate # 4.544 * * * * [progress]: [ 41 / 100 ] simplifiying candidate # 4.544 * * * * [progress]: [ 42 / 100 ] simplifiying candidate # 4.544 * * * * [progress]: [ 43 / 100 ] simplifiying candidate # 4.544 * * * * [progress]: [ 44 / 100 ] simplifiying candidate # 4.544 * * * * [progress]: [ 45 / 100 ] simplifiying candidate # 4.544 * * * * [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))))))> 4.544 * * * * [progress]: [ 47 / 100 ] simplifiying candidate # 4.544 * * * * [progress]: [ 48 / 100 ] simplifiying candidate # 4.544 * * * * [progress]: [ 49 / 100 ] simplifiying candidate # 4.544 * * * * [progress]: [ 50 / 100 ] simplifiying candidate # 4.544 * * * * [progress]: [ 51 / 100 ] simplifiying candidate # 4.544 * * * * [progress]: [ 52 / 100 ] simplifiying candidate # 4.544 * * * * [progress]: [ 53 / 100 ] simplifiying candidate # 4.544 * * * * [progress]: [ 54 / 100 ] simplifiying candidate # 4.544 * * * * [progress]: [ 55 / 100 ] simplifiying candidate # 4.544 * * * * [progress]: [ 56 / 100 ] simplifiying candidate # 4.544 * * * * [progress]: [ 57 / 100 ] simplifiying candidate # 4.544 * * * * [progress]: [ 58 / 100 ] simplifiying candidate # 4.544 * * * * [progress]: [ 59 / 100 ] simplifiying candidate # 4.545 * * * * [progress]: [ 60 / 100 ] simplifiying candidate # 4.545 * * * * [progress]: [ 61 / 100 ] simplifiying candidate # 4.545 * * * * [progress]: [ 62 / 100 ] simplifiying candidate # 4.545 * * * * [progress]: [ 63 / 100 ] simplifiying candidate # 4.545 * * * * [progress]: [ 64 / 100 ] simplifiying candidate # 4.545 * * * * [progress]: [ 65 / 100 ] simplifiying candidate # 4.545 * * * * [progress]: [ 66 / 100 ] simplifiying candidate # 4.545 * * * * [progress]: [ 67 / 100 ] simplifiying candidate # 4.545 * * * * [progress]: [ 68 / 100 ] simplifiying candidate # 4.545 * * * * [progress]: [ 69 / 100 ] simplifiying candidate # 4.545 * * * * [progress]: [ 70 / 100 ] simplifiying candidate # 4.545 * * * * [progress]: [ 71 / 100 ] simplifiying candidate # 4.545 * * * * [progress]: [ 72 / 100 ] simplifiying candidate # 4.545 * * * * [progress]: [ 73 / 100 ] simplifiying candidate # 4.545 * * * * [progress]: [ 74 / 100 ] simplifiying candidate # 4.545 * * * * [progress]: [ 75 / 100 ] simplifiying candidate # 4.545 * * * * [progress]: [ 76 / 100 ] simplifiying candidate # 4.545 * * * * [progress]: [ 77 / 100 ] simplifiying candidate # 4.545 * * * * [progress]: [ 78 / 100 ] simplifiying candidate # 4.545 * * * * [progress]: [ 79 / 100 ] simplifiying candidate # 4.545 * * * * [progress]: [ 80 / 100 ] simplifiying candidate # 4.546 * * * * [progress]: [ 81 / 100 ] simplifiying candidate # 4.546 * * * * [progress]: [ 82 / 100 ] simplifiying candidate # 4.546 * * * * [progress]: [ 83 / 100 ] simplifiying candidate # 4.546 * * * * [progress]: [ 84 / 100 ] simplifiying candidate # 4.546 * * * * [progress]: [ 85 / 100 ] simplifiying candidate # 4.546 * * * * [progress]: [ 86 / 100 ] simplifiying candidate # 4.546 * * * * [progress]: [ 87 / 100 ] simplifiying candidate # 4.546 * * * * [progress]: [ 88 / 100 ] simplifiying candidate #real (real->posit16 (/ (sqrt 1/2) N))))))))> 4.546 * * * * [progress]: [ 89 / 100 ] simplifiying candidate # 4.546 * * * * [progress]: [ 90 / 100 ] simplifiying candidate # 4.546 * * * * [progress]: [ 91 / 100 ] simplifiying candidate # 4.546 * * * * [progress]: [ 92 / 100 ] simplifiying candidate # 4.546 * * * * [progress]: [ 93 / 100 ] simplifiying candidate # 4.546 * * * * [progress]: [ 94 / 100 ] simplifiying candidate # 4.546 * * * * [progress]: [ 95 / 100 ] simplifiying candidate # 4.546 * * * * [progress]: [ 96 / 100 ] simplifiying candidate # 4.546 * * * * [progress]: [ 97 / 100 ] simplifiying candidate # 4.546 * * * * [progress]: [ 98 / 100 ] simplifiying candidate # 4.546 * * * * [progress]: [ 99 / 100 ] simplifiying candidate # 4.546 * * * * [progress]: [ 100 / 100 ] simplifiying candidate # 4.547 * [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) 4.549 * * [simplify]: iteration 0: 156 enodes 4.597 * * [simplify]: iteration 1: 310 enodes 4.730 * * [simplify]: iteration 2: 984 enodes 4.974 * * [simplify]: iteration 3: 2001 enodes 5.378 * * [simplify]: iteration complete: 2001 enodes 5.378 * * [simplify]: Extracting #0: cost 86 inf + 0 5.379 * * [simplify]: Extracting #1: cost 396 inf + 3 5.381 * * [simplify]: Extracting #2: cost 641 inf + 10492 5.389 * * [simplify]: Extracting #3: cost 405 inf + 48498 5.405 * * [simplify]: Extracting #4: cost 83 inf + 102191 5.427 * * [simplify]: Extracting #5: cost 2 inf + 129610 5.455 * * [simplify]: Extracting #6: cost 0 inf + 130650 5.497 * [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) 5.514 * * * [progress]: adding candidates to table 6.022 * * [progress]: iteration 4 / 4 6.022 * * * [progress]: picking best candidate 6.029 * * * * [pick]: Picked # 6.029 * * * [progress]: localizing error 6.046 * * * [progress]: generating rewritten candidates 6.046 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 6.050 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 6.068 * * * [progress]: generating series expansions 6.068 * * * * [progress]: [ 1 / 2 ] generating series at (2) 6.068 * [backup-simplify]: Simplify (log (/ (+ N 1) N)) into (log (/ (+ N 1) N)) 6.068 * [approximate]: Taking taylor expansion of (log (/ (+ N 1) N)) in (N) around 0 6.068 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 6.068 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 6.068 * [taylor]: Taking taylor expansion of (+ N 1) in N 6.068 * [taylor]: Taking taylor expansion of N in N 6.068 * [backup-simplify]: Simplify 0 into 0 6.068 * [backup-simplify]: Simplify 1 into 1 6.068 * [taylor]: Taking taylor expansion of 1 in N 6.068 * [backup-simplify]: Simplify 1 into 1 6.068 * [taylor]: Taking taylor expansion of N in N 6.068 * [backup-simplify]: Simplify 0 into 0 6.068 * [backup-simplify]: Simplify 1 into 1 6.069 * [backup-simplify]: Simplify (+ 0 1) into 1 6.069 * [backup-simplify]: Simplify (/ 1 1) into 1 6.069 * [backup-simplify]: Simplify (log 1) into 0 6.069 * [taylor]: Taking taylor expansion of (log (/ (+ N 1) N)) in N 6.069 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 6.069 * [taylor]: Taking taylor expansion of (+ N 1) in N 6.069 * [taylor]: Taking taylor expansion of N in N 6.069 * [backup-simplify]: Simplify 0 into 0 6.069 * [backup-simplify]: Simplify 1 into 1 6.069 * [taylor]: Taking taylor expansion of 1 in N 6.069 * [backup-simplify]: Simplify 1 into 1 6.069 * [taylor]: Taking taylor expansion of N in N 6.069 * [backup-simplify]: Simplify 0 into 0 6.069 * [backup-simplify]: Simplify 1 into 1 6.070 * [backup-simplify]: Simplify (+ 0 1) into 1 6.070 * [backup-simplify]: Simplify (/ 1 1) into 1 6.070 * [backup-simplify]: Simplify (log 1) into 0 6.070 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 6.070 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 6.071 * [backup-simplify]: Simplify (+ 1 0) into 1 6.071 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 6.072 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 6.072 * [backup-simplify]: Simplify 1 into 1 6.072 * [backup-simplify]: Simplify (+ 0 0) into 0 6.073 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 6.074 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 6.074 * [backup-simplify]: Simplify -1/2 into -1/2 6.074 * [backup-simplify]: Simplify (+ (* -1/2 (pow N 2)) (+ (* 1 N) (- (log N)))) into (- N (+ (log N) (* 1/2 (pow N 2)))) 6.074 * [backup-simplify]: Simplify (log (/ (+ (/ 1 N) 1) (/ 1 N))) into (log (* N (+ (/ 1 N) 1))) 6.074 * [approximate]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in (N) around 0 6.074 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 6.075 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 6.075 * [taylor]: Taking taylor expansion of N in N 6.075 * [backup-simplify]: Simplify 0 into 0 6.075 * [backup-simplify]: Simplify 1 into 1 6.075 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 6.075 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.075 * [taylor]: Taking taylor expansion of N in N 6.075 * [backup-simplify]: Simplify 0 into 0 6.075 * [backup-simplify]: Simplify 1 into 1 6.075 * [backup-simplify]: Simplify (/ 1 1) into 1 6.075 * [taylor]: Taking taylor expansion of 1 in N 6.075 * [backup-simplify]: Simplify 1 into 1 6.075 * [backup-simplify]: Simplify (+ 1 0) into 1 6.075 * [backup-simplify]: Simplify (* 0 1) into 0 6.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.076 * [backup-simplify]: Simplify (+ 0 1) into 1 6.077 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 6.077 * [backup-simplify]: Simplify (log 1) into 0 6.077 * [taylor]: Taking taylor expansion of (log (* N (+ (/ 1 N) 1))) in N 6.077 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 6.077 * [taylor]: Taking taylor expansion of N in N 6.077 * [backup-simplify]: Simplify 0 into 0 6.077 * [backup-simplify]: Simplify 1 into 1 6.077 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 6.077 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.077 * [taylor]: Taking taylor expansion of N in N 6.077 * [backup-simplify]: Simplify 0 into 0 6.077 * [backup-simplify]: Simplify 1 into 1 6.077 * [backup-simplify]: Simplify (/ 1 1) into 1 6.077 * [taylor]: Taking taylor expansion of 1 in N 6.077 * [backup-simplify]: Simplify 1 into 1 6.078 * [backup-simplify]: Simplify (+ 1 0) into 1 6.078 * [backup-simplify]: Simplify (* 0 1) into 0 6.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.078 * [backup-simplify]: Simplify (+ 0 1) into 1 6.079 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 6.079 * [backup-simplify]: Simplify (log 1) into 0 6.079 * [backup-simplify]: Simplify 0 into 0 6.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.080 * [backup-simplify]: Simplify (+ 0 0) into 0 6.081 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 6.081 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 6.081 * [backup-simplify]: Simplify 1 into 1 6.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.082 * [backup-simplify]: Simplify (+ 0 0) into 0 6.083 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 6.085 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 6.085 * [backup-simplify]: Simplify -1/2 into -1/2 6.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.087 * [backup-simplify]: Simplify (+ 0 0) into 0 6.088 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 6.092 * [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 6.092 * [backup-simplify]: Simplify 1/3 into 1/3 6.092 * [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)))) 6.092 * [backup-simplify]: Simplify (log (/ (+ (/ 1 (- N)) 1) (/ 1 (- N)))) into (log (* -1 (* N (- 1 (/ 1 N))))) 6.092 * [approximate]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in (N) around 0 6.092 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 6.092 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 6.092 * [taylor]: Taking taylor expansion of -1 in N 6.092 * [backup-simplify]: Simplify -1 into -1 6.092 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 6.092 * [taylor]: Taking taylor expansion of N in N 6.093 * [backup-simplify]: Simplify 0 into 0 6.093 * [backup-simplify]: Simplify 1 into 1 6.093 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 6.093 * [taylor]: Taking taylor expansion of 1 in N 6.093 * [backup-simplify]: Simplify 1 into 1 6.093 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.093 * [taylor]: Taking taylor expansion of N in N 6.093 * [backup-simplify]: Simplify 0 into 0 6.093 * [backup-simplify]: Simplify 1 into 1 6.093 * [backup-simplify]: Simplify (/ 1 1) into 1 6.093 * [backup-simplify]: Simplify (- 1) into -1 6.093 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.094 * [backup-simplify]: Simplify (* 0 -1) into 0 6.094 * [backup-simplify]: Simplify (* -1 0) into 0 6.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.095 * [backup-simplify]: Simplify (- 0) into 0 6.095 * [backup-simplify]: Simplify (+ 1 0) into 1 6.096 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 6.096 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 6.096 * [backup-simplify]: Simplify (log 1) into 0 6.096 * [taylor]: Taking taylor expansion of (log (* -1 (* N (- 1 (/ 1 N))))) in N 6.097 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 6.097 * [taylor]: Taking taylor expansion of -1 in N 6.097 * [backup-simplify]: Simplify -1 into -1 6.097 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 6.097 * [taylor]: Taking taylor expansion of N in N 6.097 * [backup-simplify]: Simplify 0 into 0 6.097 * [backup-simplify]: Simplify 1 into 1 6.097 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 6.097 * [taylor]: Taking taylor expansion of 1 in N 6.097 * [backup-simplify]: Simplify 1 into 1 6.097 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.097 * [taylor]: Taking taylor expansion of N in N 6.097 * [backup-simplify]: Simplify 0 into 0 6.097 * [backup-simplify]: Simplify 1 into 1 6.097 * [backup-simplify]: Simplify (/ 1 1) into 1 6.097 * [backup-simplify]: Simplify (- 1) into -1 6.098 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.098 * [backup-simplify]: Simplify (* 0 -1) into 0 6.098 * [backup-simplify]: Simplify (* -1 0) into 0 6.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.099 * [backup-simplify]: Simplify (- 0) into 0 6.100 * [backup-simplify]: Simplify (+ 1 0) into 1 6.101 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 6.101 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 6.101 * [backup-simplify]: Simplify (log 1) into 0 6.102 * [backup-simplify]: Simplify 0 into 0 6.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.103 * [backup-simplify]: Simplify (- 0) into 0 6.103 * [backup-simplify]: Simplify (+ 0 0) into 0 6.104 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 6.104 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 6.106 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 6.106 * [backup-simplify]: Simplify -1 into -1 6.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.107 * [backup-simplify]: Simplify (- 0) into 0 6.107 * [backup-simplify]: Simplify (+ 0 0) into 0 6.108 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 6.108 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 6.110 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 6.110 * [backup-simplify]: Simplify -1/2 into -1/2 6.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.111 * [backup-simplify]: Simplify (- 0) into 0 6.111 * [backup-simplify]: Simplify (+ 0 0) into 0 6.112 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 6.113 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 6.116 * [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 6.116 * [backup-simplify]: Simplify -1/3 into -1/3 6.117 * [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)))) 6.117 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 6.117 * [backup-simplify]: Simplify (/ (+ N 1) N) into (/ (+ N 1) N) 6.117 * [approximate]: Taking taylor expansion of (/ (+ N 1) N) in (N) around 0 6.117 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 6.117 * [taylor]: Taking taylor expansion of (+ N 1) in N 6.117 * [taylor]: Taking taylor expansion of N in N 6.117 * [backup-simplify]: Simplify 0 into 0 6.117 * [backup-simplify]: Simplify 1 into 1 6.117 * [taylor]: Taking taylor expansion of 1 in N 6.117 * [backup-simplify]: Simplify 1 into 1 6.117 * [taylor]: Taking taylor expansion of N in N 6.117 * [backup-simplify]: Simplify 0 into 0 6.117 * [backup-simplify]: Simplify 1 into 1 6.117 * [backup-simplify]: Simplify (+ 0 1) into 1 6.117 * [backup-simplify]: Simplify (/ 1 1) into 1 6.117 * [taylor]: Taking taylor expansion of (/ (+ N 1) N) in N 6.117 * [taylor]: Taking taylor expansion of (+ N 1) in N 6.118 * [taylor]: Taking taylor expansion of N in N 6.118 * [backup-simplify]: Simplify 0 into 0 6.118 * [backup-simplify]: Simplify 1 into 1 6.118 * [taylor]: Taking taylor expansion of 1 in N 6.118 * [backup-simplify]: Simplify 1 into 1 6.118 * [taylor]: Taking taylor expansion of N in N 6.118 * [backup-simplify]: Simplify 0 into 0 6.118 * [backup-simplify]: Simplify 1 into 1 6.118 * [backup-simplify]: Simplify (+ 0 1) into 1 6.118 * [backup-simplify]: Simplify (/ 1 1) into 1 6.118 * [backup-simplify]: Simplify 1 into 1 6.118 * [backup-simplify]: Simplify (+ 1 0) into 1 6.119 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* 1 (/ 0 1)))) into 1 6.119 * [backup-simplify]: Simplify 1 into 1 6.119 * [backup-simplify]: Simplify (+ 0 0) into 0 6.120 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)))) into 0 6.120 * [backup-simplify]: Simplify 0 into 0 6.120 * [backup-simplify]: Simplify (+ 0 0) into 0 6.121 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.121 * [backup-simplify]: Simplify 0 into 0 6.121 * [backup-simplify]: Simplify (+ 0 0) into 0 6.122 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.122 * [backup-simplify]: Simplify 0 into 0 6.122 * [backup-simplify]: Simplify (+ 0 0) into 0 6.123 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.123 * [backup-simplify]: Simplify 0 into 0 6.123 * [backup-simplify]: Simplify (+ 0 0) into 0 6.124 * [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 6.124 * [backup-simplify]: Simplify 0 into 0 6.124 * [backup-simplify]: Simplify (+ 0 0) into 0 6.125 * [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 6.125 * [backup-simplify]: Simplify 0 into 0 6.126 * [backup-simplify]: Simplify (+ 1 (* 1 (/ 1 N))) into (+ (/ 1 N) 1) 6.126 * [backup-simplify]: Simplify (/ (+ (/ 1 N) 1) (/ 1 N)) into (* N (+ (/ 1 N) 1)) 6.126 * [approximate]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in (N) around 0 6.126 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 6.126 * [taylor]: Taking taylor expansion of N in N 6.126 * [backup-simplify]: Simplify 0 into 0 6.126 * [backup-simplify]: Simplify 1 into 1 6.126 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 6.126 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.126 * [taylor]: Taking taylor expansion of N in N 6.126 * [backup-simplify]: Simplify 0 into 0 6.126 * [backup-simplify]: Simplify 1 into 1 6.126 * [backup-simplify]: Simplify (/ 1 1) into 1 6.126 * [taylor]: Taking taylor expansion of 1 in N 6.126 * [backup-simplify]: Simplify 1 into 1 6.126 * [taylor]: Taking taylor expansion of (* N (+ (/ 1 N) 1)) in N 6.126 * [taylor]: Taking taylor expansion of N in N 6.126 * [backup-simplify]: Simplify 0 into 0 6.127 * [backup-simplify]: Simplify 1 into 1 6.127 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1) in N 6.127 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.127 * [taylor]: Taking taylor expansion of N in N 6.127 * [backup-simplify]: Simplify 0 into 0 6.127 * [backup-simplify]: Simplify 1 into 1 6.127 * [backup-simplify]: Simplify (/ 1 1) into 1 6.127 * [taylor]: Taking taylor expansion of 1 in N 6.127 * [backup-simplify]: Simplify 1 into 1 6.128 * [backup-simplify]: Simplify (+ 1 0) into 1 6.128 * [backup-simplify]: Simplify (* 0 1) into 0 6.128 * [backup-simplify]: Simplify 0 into 0 6.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.129 * [backup-simplify]: Simplify (+ 0 1) into 1 6.130 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 1)) into 1 6.130 * [backup-simplify]: Simplify 1 into 1 6.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.131 * [backup-simplify]: Simplify (+ 0 0) into 0 6.132 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 1))) into 1 6.132 * [backup-simplify]: Simplify 1 into 1 6.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.134 * [backup-simplify]: Simplify (+ 0 0) into 0 6.135 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 1)))) into 0 6.135 * [backup-simplify]: Simplify 0 into 0 6.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.136 * [backup-simplify]: Simplify (+ 0 0) into 0 6.137 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))) into 0 6.137 * [backup-simplify]: Simplify 0 into 0 6.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.139 * [backup-simplify]: Simplify (+ 0 0) into 0 6.140 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))) into 0 6.140 * [backup-simplify]: Simplify 0 into 0 6.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.141 * [backup-simplify]: Simplify (+ 0 0) into 0 6.143 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))) into 0 6.143 * [backup-simplify]: Simplify 0 into 0 6.144 * [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 6.144 * [backup-simplify]: Simplify (+ 0 0) into 0 6.145 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1)))))))) into 0 6.145 * [backup-simplify]: Simplify 0 into 0 6.145 * [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 6.146 * [backup-simplify]: Simplify (+ 0 0) into 0 6.147 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 1))))))))) into 0 6.147 * [backup-simplify]: Simplify 0 into 0 6.147 * [backup-simplify]: Simplify (+ (* 1 (/ 1 N)) 1) into (+ (/ 1 N) 1) 6.147 * [backup-simplify]: Simplify (/ (+ (/ 1 (- N)) 1) (/ 1 (- N))) into (* -1 (* N (- 1 (/ 1 N)))) 6.147 * [approximate]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in (N) around 0 6.147 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 6.147 * [taylor]: Taking taylor expansion of -1 in N 6.147 * [backup-simplify]: Simplify -1 into -1 6.147 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 6.147 * [taylor]: Taking taylor expansion of N in N 6.147 * [backup-simplify]: Simplify 0 into 0 6.147 * [backup-simplify]: Simplify 1 into 1 6.147 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 6.147 * [taylor]: Taking taylor expansion of 1 in N 6.147 * [backup-simplify]: Simplify 1 into 1 6.147 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.147 * [taylor]: Taking taylor expansion of N in N 6.147 * [backup-simplify]: Simplify 0 into 0 6.147 * [backup-simplify]: Simplify 1 into 1 6.147 * [backup-simplify]: Simplify (/ 1 1) into 1 6.147 * [taylor]: Taking taylor expansion of (* -1 (* N (- 1 (/ 1 N)))) in N 6.148 * [taylor]: Taking taylor expansion of -1 in N 6.148 * [backup-simplify]: Simplify -1 into -1 6.148 * [taylor]: Taking taylor expansion of (* N (- 1 (/ 1 N))) in N 6.148 * [taylor]: Taking taylor expansion of N in N 6.148 * [backup-simplify]: Simplify 0 into 0 6.148 * [backup-simplify]: Simplify 1 into 1 6.148 * [taylor]: Taking taylor expansion of (- 1 (/ 1 N)) in N 6.148 * [taylor]: Taking taylor expansion of 1 in N 6.148 * [backup-simplify]: Simplify 1 into 1 6.148 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.148 * [taylor]: Taking taylor expansion of N in N 6.148 * [backup-simplify]: Simplify 0 into 0 6.148 * [backup-simplify]: Simplify 1 into 1 6.148 * [backup-simplify]: Simplify (/ 1 1) into 1 6.148 * [backup-simplify]: Simplify (- 1) into -1 6.148 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.149 * [backup-simplify]: Simplify (* 0 -1) into 0 6.149 * [backup-simplify]: Simplify (* -1 0) into 0 6.149 * [backup-simplify]: Simplify 0 into 0 6.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.150 * [backup-simplify]: Simplify (- 0) into 0 6.150 * [backup-simplify]: Simplify (+ 1 0) into 1 6.150 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 -1)) into -1 6.151 * [backup-simplify]: Simplify (+ (* -1 -1) (* 0 0)) into 1 6.151 * [backup-simplify]: Simplify 1 into 1 6.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.152 * [backup-simplify]: Simplify (- 0) into 0 6.152 * [backup-simplify]: Simplify (+ 0 0) into 0 6.152 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 -1))) into 1 6.157 * [backup-simplify]: Simplify (+ (* -1 1) (+ (* 0 -1) (* 0 0))) into -1 6.157 * [backup-simplify]: Simplify -1 into -1 6.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.158 * [backup-simplify]: Simplify (- 0) into 0 6.158 * [backup-simplify]: Simplify (+ 0 0) into 0 6.159 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 6.160 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))) into 0 6.160 * [backup-simplify]: Simplify 0 into 0 6.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.161 * [backup-simplify]: Simplify (- 0) into 0 6.161 * [backup-simplify]: Simplify (+ 0 0) into 0 6.162 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 6.162 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))) into 0 6.163 * [backup-simplify]: Simplify 0 into 0 6.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.163 * [backup-simplify]: Simplify (- 0) into 0 6.164 * [backup-simplify]: Simplify (+ 0 0) into 0 6.164 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))) into 0 6.165 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))) into 0 6.165 * [backup-simplify]: Simplify 0 into 0 6.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.166 * [backup-simplify]: Simplify (- 0) into 0 6.166 * [backup-simplify]: Simplify (+ 0 0) into 0 6.167 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))) into 0 6.168 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))) into 0 6.168 * [backup-simplify]: Simplify 0 into 0 6.169 * [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 6.169 * [backup-simplify]: Simplify (- 0) into 0 6.170 * [backup-simplify]: Simplify (+ 0 0) into 0 6.171 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1)))))))) into 0 6.172 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0)))))))) into 0 6.172 * [backup-simplify]: Simplify 0 into 0 6.172 * [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 6.173 * [backup-simplify]: Simplify (- 0) into 0 6.173 * [backup-simplify]: Simplify (+ 0 0) into 0 6.174 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))))))) into 0 6.175 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 -1) (* 0 0))))))))) into 0 6.175 * [backup-simplify]: Simplify 0 into 0 6.176 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (- N))) 1) into (+ (/ 1 N) 1) 6.176 * * * [progress]: simplifying candidates 6.176 * * * * [progress]: [ 1 / 72 ] simplifiying candidate # 6.176 * * * * [progress]: [ 2 / 72 ] simplifiying candidate # 6.176 * * * * [progress]: [ 3 / 72 ] simplifiying candidate # 6.176 * * * * [progress]: [ 4 / 72 ] simplifiying candidate # 6.176 * * * * [progress]: [ 5 / 72 ] simplifiying candidate # 6.176 * * * * [progress]: [ 6 / 72 ] simplifiying candidate # 6.176 * * * * [progress]: [ 7 / 72 ] simplifiying candidate # 6.176 * * * * [progress]: [ 8 / 72 ] simplifiying candidate # 6.176 * * * * [progress]: [ 9 / 72 ] simplifiying candidate # 6.176 * * * * [progress]: [ 10 / 72 ] simplifiying candidate # 6.176 * * * * [progress]: [ 11 / 72 ] simplifiying candidate # 6.176 * * * * [progress]: [ 12 / 72 ] simplifiying candidate # 6.176 * * * * [progress]: [ 13 / 72 ] simplifiying candidate # 6.176 * * * * [progress]: [ 14 / 72 ] simplifiying candidate # 6.176 * * * * [progress]: [ 15 / 72 ] simplifiying candidate # 6.176 * * * * [progress]: [ 16 / 72 ] simplifiying candidate # 6.176 * * * * [progress]: [ 17 / 72 ] simplifiying candidate # 6.176 * * * * [progress]: [ 18 / 72 ] simplifiying candidate # 6.176 * * * * [progress]: [ 19 / 72 ] simplifiying candidate # 6.176 * * * * [progress]: [ 20 / 72 ] simplifiying candidate # 6.176 * * * * [progress]: [ 21 / 72 ] simplifiying candidate # 6.176 * * * * [progress]: [ 22 / 72 ] simplifiying candidate # 6.176 * * * * [progress]: [ 23 / 72 ] simplifiying candidate # 6.176 * * * * [progress]: [ 24 / 72 ] simplifiying candidate # 6.177 * * * * [progress]: [ 25 / 72 ] simplifiying candidate # 6.177 * * * * [progress]: [ 26 / 72 ] simplifiying candidate # 6.177 * * * * [progress]: [ 27 / 72 ] simplifiying candidate # 6.177 * * * * [progress]: [ 28 / 72 ] simplifiying candidate # 6.177 * * * * [progress]: [ 29 / 72 ] simplifiying candidate # 6.177 * * * * [progress]: [ 30 / 72 ] simplifiying candidate #real (real->posit16 (log (/ (+ N 1) N)))))> 6.177 * * * * [progress]: [ 31 / 72 ] simplifiying candidate # 6.177 * * * * [progress]: [ 32 / 72 ] simplifiying candidate # 6.177 * * * * [progress]: [ 33 / 72 ] simplifiying candidate # 6.177 * * * * [progress]: [ 34 / 72 ] simplifiying candidate # 6.177 * * * * [progress]: [ 35 / 72 ] simplifiying candidate # 6.177 * * * * [progress]: [ 36 / 72 ] simplifiying candidate # 6.177 * * * * [progress]: [ 37 / 72 ] simplifiying candidate # 6.177 * * * * [progress]: [ 38 / 72 ] simplifiying candidate # 6.177 * * * * [progress]: [ 39 / 72 ] simplifiying candidate # 6.177 * * * * [progress]: [ 40 / 72 ] simplifiying candidate # 6.177 * * * * [progress]: [ 41 / 72 ] simplifiying candidate # 6.177 * * * * [progress]: [ 42 / 72 ] simplifiying candidate # 6.177 * * * * [progress]: [ 43 / 72 ] simplifiying candidate # 6.177 * * * * [progress]: [ 44 / 72 ] simplifiying candidate # 6.177 * * * * [progress]: [ 45 / 72 ] simplifiying candidate # 6.177 * * * * [progress]: [ 46 / 72 ] simplifiying candidate # 6.177 * * * * [progress]: [ 47 / 72 ] simplifiying candidate # 6.177 * * * * [progress]: [ 48 / 72 ] simplifiying candidate # 6.177 * * * * [progress]: [ 49 / 72 ] simplifiying candidate # 6.177 * * * * [progress]: [ 50 / 72 ] simplifiying candidate # 6.177 * * * * [progress]: [ 51 / 72 ] simplifiying candidate # 6.177 * * * * [progress]: [ 52 / 72 ] simplifiying candidate # 6.177 * * * * [progress]: [ 53 / 72 ] simplifiying candidate # 6.178 * * * * [progress]: [ 54 / 72 ] simplifiying candidate # 6.178 * * * * [progress]: [ 55 / 72 ] simplifiying candidate # 6.178 * * * * [progress]: [ 56 / 72 ] simplifiying candidate # 6.178 * * * * [progress]: [ 57 / 72 ] simplifiying candidate # 6.178 * * * * [progress]: [ 58 / 72 ] simplifiying candidate # 6.178 * * * * [progress]: [ 59 / 72 ] simplifiying candidate # 6.178 * * * * [progress]: [ 60 / 72 ] simplifiying candidate # 6.178 * * * * [progress]: [ 61 / 72 ] simplifiying candidate # 6.178 * * * * [progress]: [ 62 / 72 ] simplifiying candidate # 6.178 * * * * [progress]: [ 63 / 72 ] simplifiying candidate # 6.178 * * * * [progress]: [ 64 / 72 ] simplifiying candidate # 6.178 * * * * [progress]: [ 65 / 72 ] simplifiying candidate # 6.178 * * * * [progress]: [ 66 / 72 ] simplifiying candidate #real (real->posit16 (/ (+ N 1) N)))))> 6.178 * * * * [progress]: [ 67 / 72 ] simplifiying candidate # 6.178 * * * * [progress]: [ 68 / 72 ] simplifiying candidate # 6.178 * * * * [progress]: [ 69 / 72 ] simplifiying candidate # 6.178 * * * * [progress]: [ 70 / 72 ] simplifiying candidate # 6.178 * * * * [progress]: [ 71 / 72 ] simplifiying candidate # 6.178 * * * * [progress]: [ 72 / 72 ] simplifiying candidate # 6.179 * [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) 6.180 * * [simplify]: iteration 0: 106 enodes 6.212 * * [simplify]: iteration 1: 242 enodes 6.283 * * [simplify]: iteration 2: 665 enodes 6.472 * * [simplify]: iteration 3: 2001 enodes 6.909 * * [simplify]: iteration complete: 2001 enodes 6.909 * * [simplify]: Extracting #0: cost 70 inf + 0 6.910 * * [simplify]: Extracting #1: cost 313 inf + 2 6.912 * * [simplify]: Extracting #2: cost 788 inf + 254 6.920 * * [simplify]: Extracting #3: cost 452 inf + 33236 6.946 * * [simplify]: Extracting #4: cost 116 inf + 87503 6.979 * * [simplify]: Extracting #5: cost 7 inf + 117040 7.007 * * [simplify]: Extracting #6: cost 0 inf + 118870 7.027 * [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)) 7.033 * * * [progress]: adding candidates to table 7.261 * [progress]: [Phase 3 of 3] Extracting. 7.261 * * [regime]: Finding splitpoints for: (# # # # # #) 7.262 * * * [regime-changes]: Trying 1 branch expressions: (N) 7.262 * * * * [regimes]: Trying to branch on N from (# # # # # #) 7.307 * * * [regime]: Found split indices: #