17.383 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.086 * * * [progress]: [2/2] Setting up program. 0.088 * [progress]: [Phase 2 of 3] Improving. 0.089 * [simplify]: Simplifying: (- (log (+ N 1.0)) (log N)) 0.089 * * [simplify]: Extracting # 0 : cost 0 0.089 * * [simplify]: Extracting # 1 : cost 0 0.089 * * [simplify]: Extracting # 2 : cost 0 0.089 * * [simplify]: Extracting # 3 : cost 0 0.089 * * [simplify]: Extracting # 4 : cost 0 0.089 * * [simplify]: Extracting # 5 : cost 0 0.089 * * [simplify]: iteration 0 : 6 enodes (cost 7 ) 0.090 * * [simplify]: Extracting # 0 : cost 0 0.090 * * [simplify]: Extracting # 1 : cost 0 0.090 * * [simplify]: Extracting # 2 : cost 0 0.090 * * [simplify]: iteration 1 : 9 enodes (cost 7 ) 0.091 * * [simplify]: Extracting # 0 : cost 0 0.091 * * [simplify]: iteration 2 : 10 enodes (cost 7 ) 0.092 * * [simplify]: Extracting # 0 : cost 0 0.092 * * [simplify]: iteration done: 10 enodes (cost 7 ) 0.092 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0.093 * * [progress]: iteration 1 / 4 0.093 * * * [progress]: picking best candidate 0.094 * * * * [pick]: Picked # 0.094 * * * [progress]: localizing error 0.102 * * * [progress]: generating rewritten candidates 0.102 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.118 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.151 * * * [progress]: generating series expansions 0.151 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.151 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 0.151 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.151 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.151 * [taylor]: Taking taylor expansion of (+ N 1.0) 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 1.0 in N 0.152 * [backup-simplify]: Simplify 1.0 into 1.0 0.152 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.153 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.153 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.153 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.153 * [taylor]: Taking taylor expansion of N in N 0.153 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify 1 into 1 0.153 * [taylor]: Taking taylor expansion of 1.0 in N 0.153 * [backup-simplify]: Simplify 1.0 into 1.0 0.154 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.154 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.155 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.155 * [backup-simplify]: Simplify (+ 1 0) into 1 0.160 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.160 * [backup-simplify]: Simplify 1.0 into 1.0 0.161 * [backup-simplify]: Simplify (+ 0 0) into 0 0.171 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 0.172 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.174 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (log 1.0))) into (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) 0.174 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 0.174 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.174 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.174 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.174 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.174 * [taylor]: Taking taylor expansion of N in N 0.174 * [backup-simplify]: Simplify 0 into 0 0.174 * [backup-simplify]: Simplify 1 into 1 0.175 * [backup-simplify]: Simplify (/ 1 1) into 1 0.175 * [taylor]: Taking taylor expansion of 1.0 in N 0.175 * [backup-simplify]: Simplify 1.0 into 1.0 0.175 * [backup-simplify]: Simplify (+ 1 0) into 1 0.176 * [backup-simplify]: Simplify (log 1) into 0 0.176 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.176 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.176 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.176 * [taylor]: Taking taylor expansion of N in N 0.176 * [backup-simplify]: Simplify 0 into 0 0.176 * [backup-simplify]: Simplify 1 into 1 0.176 * [backup-simplify]: Simplify (/ 1 1) into 1 0.176 * [taylor]: Taking taylor expansion of 1.0 in N 0.176 * [backup-simplify]: Simplify 1.0 into 1.0 0.176 * [backup-simplify]: Simplify (+ 1 0) into 1 0.177 * [backup-simplify]: Simplify (log 1) into 0 0.178 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.178 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.179 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.185 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.185 * [backup-simplify]: Simplify 1.0 into 1.0 0.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.186 * [backup-simplify]: Simplify (+ 0 0) into 0 0.197 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 0.198 * [backup-simplify]: Simplify -0.5 into -0.5 0.198 * [backup-simplify]: Simplify (+ (* -0.5 (pow (/ 1 N) 2)) (+ (* 1.0 (/ 1 N)) (- (log (/ 1 N))))) into (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) 0.198 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 0.198 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.198 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.198 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.199 * [taylor]: Taking taylor expansion of 1.0 in N 0.199 * [backup-simplify]: Simplify 1.0 into 1.0 0.199 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.199 * [taylor]: Taking taylor expansion of N in N 0.199 * [backup-simplify]: Simplify 0 into 0 0.199 * [backup-simplify]: Simplify 1 into 1 0.199 * [backup-simplify]: Simplify (/ 1 1) into 1 0.200 * [backup-simplify]: Simplify (- 1) into -1 0.200 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.201 * [backup-simplify]: Simplify (log -1) into (log -1) 0.201 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.201 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.201 * [taylor]: Taking taylor expansion of 1.0 in N 0.201 * [backup-simplify]: Simplify 1.0 into 1.0 0.201 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.201 * [taylor]: Taking taylor expansion of N in N 0.201 * [backup-simplify]: Simplify 0 into 0 0.201 * [backup-simplify]: Simplify 1 into 1 0.201 * [backup-simplify]: Simplify (/ 1 1) into 1 0.202 * [backup-simplify]: Simplify (- 1) into -1 0.202 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.203 * [backup-simplify]: Simplify (log -1) into (log -1) 0.204 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.204 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.205 * [backup-simplify]: Simplify (- 0) into 0 0.205 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.210 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.210 * [backup-simplify]: Simplify -1.0 into -1.0 0.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.211 * [backup-simplify]: Simplify (- 0) into 0 0.211 * [backup-simplify]: Simplify (+ 0 0) into 0 0.218 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 0.218 * [backup-simplify]: Simplify -0.5 into -0.5 0.218 * [backup-simplify]: Simplify (+ (* -0.5 (pow (/ 1 (- N)) 2)) (+ (* -1.0 (/ 1 (- N))) (- (log -1) (log (/ 1 (- N)))))) into (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) 0.219 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.219 * [backup-simplify]: Simplify (- (log (+ N 1.0)) (log N)) into (- (log (+ N 1.0)) (log N)) 0.219 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.219 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.219 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.219 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.219 * [taylor]: Taking taylor expansion of N in N 0.219 * [backup-simplify]: Simplify 0 into 0 0.219 * [backup-simplify]: Simplify 1 into 1 0.219 * [taylor]: Taking taylor expansion of 1.0 in N 0.219 * [backup-simplify]: Simplify 1.0 into 1.0 0.219 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.220 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.220 * [taylor]: Taking taylor expansion of (log N) in N 0.220 * [taylor]: Taking taylor expansion of N in N 0.220 * [backup-simplify]: Simplify 0 into 0 0.220 * [backup-simplify]: Simplify 1 into 1 0.220 * [backup-simplify]: Simplify (log 1) into 0 0.220 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.220 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.220 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.220 * [taylor]: Taking taylor expansion of N in N 0.220 * [backup-simplify]: Simplify 0 into 0 0.220 * [backup-simplify]: Simplify 1 into 1 0.220 * [taylor]: Taking taylor expansion of 1.0 in N 0.220 * [backup-simplify]: Simplify 1.0 into 1.0 0.220 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.221 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.221 * [taylor]: Taking taylor expansion of (log N) in N 0.221 * [taylor]: Taking taylor expansion of N in N 0.221 * [backup-simplify]: Simplify 0 into 0 0.221 * [backup-simplify]: Simplify 1 into 1 0.221 * [backup-simplify]: Simplify (log 1) into 0 0.221 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.221 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.222 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N)) 0.222 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.222 * [backup-simplify]: Simplify (+ 1 0) into 1 0.226 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.227 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.228 * [backup-simplify]: Simplify (- 0) into 0 0.228 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.228 * [backup-simplify]: Simplify 1.0 into 1.0 0.228 * [backup-simplify]: Simplify (+ 0 0) into 0 0.235 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into (/ -1/2 (pow 1.0 2)) 0.237 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.237 * [backup-simplify]: Simplify (- 0) into 0 0.244 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.248 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.250 * [backup-simplify]: Simplify (+ (* (- (* 1/2 (/ 1 (pow 1.0 2)))) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 0.250 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) 0.250 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.250 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.250 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.250 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.250 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.250 * [taylor]: Taking taylor expansion of N in N 0.250 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify 1 into 1 0.251 * [backup-simplify]: Simplify (/ 1 1) into 1 0.251 * [taylor]: Taking taylor expansion of 1.0 in N 0.251 * [backup-simplify]: Simplify 1.0 into 1.0 0.251 * [backup-simplify]: Simplify (+ 1 0) into 1 0.251 * [backup-simplify]: Simplify (log 1) into 0 0.251 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.251 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.251 * [taylor]: Taking taylor expansion of N in N 0.251 * [backup-simplify]: Simplify 0 into 0 0.251 * [backup-simplify]: Simplify 1 into 1 0.252 * [backup-simplify]: Simplify (/ 1 1) into 1 0.252 * [backup-simplify]: Simplify (log 1) into 0 0.252 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.252 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.252 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.252 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.252 * [taylor]: Taking taylor expansion of N in N 0.252 * [backup-simplify]: Simplify 0 into 0 0.252 * [backup-simplify]: Simplify 1 into 1 0.252 * [backup-simplify]: Simplify (/ 1 1) into 1 0.252 * [taylor]: Taking taylor expansion of 1.0 in N 0.252 * [backup-simplify]: Simplify 1.0 into 1.0 0.253 * [backup-simplify]: Simplify (+ 1 0) into 1 0.253 * [backup-simplify]: Simplify (log 1) into 0 0.253 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.253 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.253 * [taylor]: Taking taylor expansion of N in N 0.253 * [backup-simplify]: Simplify 0 into 0 0.253 * [backup-simplify]: Simplify 1 into 1 0.253 * [backup-simplify]: Simplify (/ 1 1) into 1 0.254 * [backup-simplify]: Simplify (log 1) into 0 0.254 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.254 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.254 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.254 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.254 * [backup-simplify]: Simplify 0 into 0 0.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.255 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.259 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.260 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.260 * [backup-simplify]: Simplify (- 0) into 0 0.260 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.260 * [backup-simplify]: Simplify 1.0 into 1.0 0.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.261 * [backup-simplify]: Simplify (+ 0 0) into 0 0.267 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -0.5 0.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.270 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.270 * [backup-simplify]: Simplify (- 0) into 0 0.270 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.270 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.271 * [backup-simplify]: Simplify (+ 0 0) into 0 0.287 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0.3333333333333333 0.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.293 * [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 0.294 * [backup-simplify]: Simplify (- 0) into 0 0.294 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.294 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.295 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 1.0 (/ 1 N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 0.295 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1.0)) (log (/ 1 (- N)))) into (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) 0.296 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.296 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.296 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.296 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.296 * [taylor]: Taking taylor expansion of 1.0 in N 0.296 * [backup-simplify]: Simplify 1.0 into 1.0 0.296 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.296 * [taylor]: Taking taylor expansion of N in N 0.296 * [backup-simplify]: Simplify 0 into 0 0.296 * [backup-simplify]: Simplify 1 into 1 0.296 * [backup-simplify]: Simplify (/ 1 1) into 1 0.296 * [backup-simplify]: Simplify (- 1) into -1 0.297 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.297 * [backup-simplify]: Simplify (log -1) into (log -1) 0.297 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.297 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.297 * [taylor]: Taking taylor expansion of -1 in N 0.297 * [backup-simplify]: Simplify -1 into -1 0.297 * [taylor]: Taking taylor expansion of N in N 0.297 * [backup-simplify]: Simplify 0 into 0 0.297 * [backup-simplify]: Simplify 1 into 1 0.298 * [backup-simplify]: Simplify (/ -1 1) into -1 0.298 * [backup-simplify]: Simplify (log -1) into (log -1) 0.298 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.298 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.298 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.298 * [taylor]: Taking taylor expansion of 1.0 in N 0.298 * [backup-simplify]: Simplify 1.0 into 1.0 0.299 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.299 * [taylor]: Taking taylor expansion of N in N 0.299 * [backup-simplify]: Simplify 0 into 0 0.299 * [backup-simplify]: Simplify 1 into 1 0.299 * [backup-simplify]: Simplify (/ 1 1) into 1 0.299 * [backup-simplify]: Simplify (- 1) into -1 0.300 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.300 * [backup-simplify]: Simplify (log -1) into (log -1) 0.300 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.300 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.300 * [taylor]: Taking taylor expansion of -1 in N 0.300 * [backup-simplify]: Simplify -1 into -1 0.300 * [taylor]: Taking taylor expansion of N in N 0.300 * [backup-simplify]: Simplify 0 into 0 0.300 * [backup-simplify]: Simplify 1 into 1 0.301 * [backup-simplify]: Simplify (/ -1 1) into -1 0.301 * [backup-simplify]: Simplify (log -1) into (log -1) 0.302 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.303 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.303 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.304 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.304 * [backup-simplify]: Simplify 0 into 0 0.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.304 * [backup-simplify]: Simplify (- 0) into 0 0.305 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.308 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.309 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.310 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.310 * [backup-simplify]: Simplify (- 0) into 0 0.310 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 0.310 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.311 * [backup-simplify]: Simplify (- 0) into 0 0.311 * [backup-simplify]: Simplify (+ 0 0) into 0 0.318 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1.0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -0.5 0.318 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.320 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.320 * [backup-simplify]: Simplify (- 0) into 0 0.320 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.321 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.321 * [backup-simplify]: Simplify (- 0) into 0 0.322 * [backup-simplify]: Simplify (+ 0 0) into 0 0.333 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1.0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1.0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -0.3333333333333333 0.333 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.336 * [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 0.336 * [backup-simplify]: Simplify (- 0) into 0 0.337 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333) 0.337 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.338 * [backup-simplify]: Simplify (+ (* (- 0.3333333333333333) (pow (/ 1 (- N)) 3)) (+ (* (- 0.5) (pow (/ 1 (- N)) 2)) (* (- 1.0) (/ 1 (- N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 0.338 * * * [progress]: simplifying candidates 0.339 * [simplify]: Simplifying: (expm1 (log (+ N 1.0))) (log1p (log (+ N 1.0))) (log (* (cbrt (+ N 1.0)) (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log 1) (log (+ N 1.0)) (log 1) (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (exp (log (+ N 1.0))) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (* (* (log (+ N 1.0)) (log (+ N 1.0))) (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma 1 (log (+ N 1.0)) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (fma 1 (log (+ N 1.0)) (- (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N)))))) (fma (- (cbrt (log N))) (* (cbrt (log N)) (cbrt (log N))) (* (cbrt (log N)) (* (cbrt (log N)) (cbrt (log N))))) (fma 1 (log (+ N 1.0)) (- (* (sqrt (log N)) (sqrt (log N))))) (fma (- (sqrt (log N))) (sqrt (log N)) (* (sqrt (log N)) (sqrt (log N)))) (fma 1 (log (+ N 1.0)) (- (* (log N) 1))) (fma (- (log N)) 1 (* (log N) 1)) (expm1 (- (log (+ N 1.0)) (log N))) (log1p (- (log (+ N 1.0)) (log N))) (- (log N)) (- (log N)) (- (log N)) (- (log N)) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (exp (- (log (+ N 1.0)) (log N))) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (* (* (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N))) (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (+ (* (log (+ N 1.0)) (log (+ N 1.0))) (+ (* (log N) (log N)) (* (log (+ N 1.0)) (log N)))) (- (log N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log (+ N 1.0)) (log N)) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log (* (cbrt N) (cbrt N)))) (- (log (+ N 1.0)) (log (sqrt N))) (- (log (+ N 1.0)) (log 1)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (+ (* N N) (- (* 1.0 1.0) (* N 1.0)))) (log N)) (+ (log (- N 1.0)) (log N)) (- (log N)) (- (+ (* 1.0 N) (log 1.0)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) (- (* 1.0 (/ 1 N)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ 1 N)))) (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) (- (+ (* 1.0 N) (log 1.0)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 0.341 * * [simplify]: Extracting # 0 : cost 0 0.341 * * [simplify]: Extracting # 1 : cost 0 0.341 * * [simplify]: Extracting # 2 : cost 0 0.341 * * [simplify]: Extracting # 3 : cost 0 0.341 * * [simplify]: Extracting # 4 : cost 0 0.341 * * [simplify]: Extracting # 5 : cost 0 0.342 * * [simplify]: Extracting # 6 : cost 0 0.342 * * [simplify]: Extracting # 7 : cost 0 0.342 * * [simplify]: Extracting # 8 : cost 0 0.342 * * [simplify]: Extracting # 9 : cost 0 0.342 * * [simplify]: iteration 0 : 127 enodes (cost 1052 ) 0.388 * * [simplify]: Extracting # 0 : cost 0 0.389 * * [simplify]: Extracting # 1 : cost 0 0.389 * * [simplify]: Extracting # 2 : cost 0 0.389 * * [simplify]: Extracting # 3 : cost 0 0.390 * * [simplify]: Extracting # 4 : cost 0 0.390 * * [simplify]: iteration 1 : 277 enodes (cost 855 ) 0.515 * * [simplify]: Extracting # 0 : cost 0 0.517 * * [simplify]: Extracting # 1 : cost 0 0.518 * * [simplify]: Extracting # 2 : cost 0 0.519 * * [simplify]: Extracting # 3 : cost 0 0.521 * * [simplify]: Extracting # 4 : cost 0 0.522 * * [simplify]: iteration 2 : 668 enodes (cost 705 ) 1.030 * * [simplify]: Extracting # 0 : cost 0 1.034 * * [simplify]: Extracting # 1 : cost 0 1.039 * * [simplify]: Extracting # 2 : cost 0 1.043 * * [simplify]: Extracting # 3 : cost 0 1.048 * * [simplify]: iteration 3 : 2055 enodes (cost 614 ) 4.245 * * [simplify]: Extracting # 0 : cost 0 4.256 * * [simplify]: Extracting # 1 : cost 0 4.265 * * [simplify]: Extracting # 2 : cost 0 4.277 * * [simplify]: Extracting # 3 : cost 0 4.282 * * [simplify]: Extracting # 4 : cost 0 4.287 * * [simplify]: iteration done: 5000 enodes (cost 592 ) 4.288 * [simplify]: Simplified to: (expm1 (log (+ N 1.0))) (log1p (log (+ N 1.0))) (* 2 (log (cbrt (+ N 1.0)))) (log (cbrt (+ N 1.0))) (log (sqrt (+ N 1.0))) (log (sqrt (+ N 1.0))) 0 (log (+ N 1.0)) 0 (log (+ N 1.0)) (log (+ (pow N 3) (pow 1.0 3))) (log (fma N N (* 1.0 (- 1.0 N)))) (log (- (* N N) (* 1.0 1.0))) (log (- N 1.0)) (log (+ N 1.0)) (log (log (+ N 1.0))) (+ N 1.0) (* (cbrt (log (+ N 1.0))) (cbrt (log (+ N 1.0)))) (cbrt (log (+ N 1.0))) (pow (log (+ N 1.0)) 3) (sqrt (log (+ N 1.0))) (sqrt (log (+ N 1.0))) (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (- (log (+ N 1.0)) (log N)) 0 (expm1 (- (log (+ N 1.0)) (log N))) (log1p (- (log (+ N 1.0)) (log N))) (- (log N)) (- (log N)) (- (log N)) (- (log N)) (/ (+ N 1.0) N) (log (- (log (+ N 1.0)) (log N))) (/ (+ N 1.0) N) (* (cbrt (- (log (+ N 1.0)) (log N))) (cbrt (- (log (+ N 1.0)) (log N)))) (cbrt (- (log (+ N 1.0)) (log N))) (pow (- (log (+ N 1.0)) (log N)) 3) (sqrt (- (log (+ N 1.0)) (log N))) (sqrt (- (log (+ N 1.0)) (log N))) (- (pow (log (+ N 1.0)) 3) (pow (log N) 3)) (fma (log N) (log N) (* (+ (log (+ N 1.0)) (log N)) (log (+ N 1.0)))) (- (log N)) (- (* (log (+ N 1.0)) (log (+ N 1.0))) (* (log N) (log N))) (+ (log N) (log (+ N 1.0))) (+ (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (sqrt (log (+ N 1.0))) (sqrt (log N))) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (fma -2 (log (cbrt N)) (log (+ N 1.0))) (- (log (+ N 1.0)) (log (sqrt N))) (log (+ N 1.0)) (- (log (cbrt (+ N 1.0))) (log N)) (- (log (sqrt (+ N 1.0))) (log N)) (- (log (+ N 1.0)) (log N)) (- (log (+ N 1.0)) (log N)) (+ (log (fma N N (* 1.0 (- 1.0 N)))) (log N)) (+ (log (- N 1.0)) (log N)) (- (log N)) (fma -1/2 (/ (pow N 2) (pow 1.0 2)) (fma 1.0 N (log 1.0))) (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (log N)) (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (log N)) (- (fma 1.0 N (log 1.0)) (fma 1/2 (/ (pow N 2) (pow 1.0 2)) (log N))) (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (/ 0.3333333333333333 (pow N 3))) (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (/ 0.3333333333333333 (pow N 3))) 4.289 * * * [progress]: adding candidates to table 4.505 * * [progress]: iteration 2 / 4 4.505 * * * [progress]: picking best candidate 4.511 * * * * [pick]: Picked # 4.512 * * * [progress]: localizing error 4.536 * * * [progress]: generating rewritten candidates 4.536 * * * * [progress]: [ 1 / 3 ] rewriting at (2 3) 4.555 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 4.556 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 4.600 * * * [progress]: generating series expansions 4.600 * * * * [progress]: [ 1 / 3 ] generating series at (2 3) 4.600 * [backup-simplify]: Simplify (/ 0.3333333333333333 (pow N 3)) into (/ 0.3333333333333333 (pow N 3)) 4.600 * [approximate]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in (N) around 0 4.600 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 4.600 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 4.600 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 4.600 * [taylor]: Taking taylor expansion of (pow N 3) in N 4.600 * [taylor]: Taking taylor expansion of N in N 4.601 * [backup-simplify]: Simplify 0 into 0 4.601 * [backup-simplify]: Simplify 1 into 1 4.602 * [backup-simplify]: Simplify (* 1 1) into 1 4.602 * [backup-simplify]: Simplify (* 1 1) into 1 4.605 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 4.605 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 4.605 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 4.606 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 4.606 * [taylor]: Taking taylor expansion of (pow N 3) in N 4.606 * [taylor]: Taking taylor expansion of N in N 4.606 * [backup-simplify]: Simplify 0 into 0 4.606 * [backup-simplify]: Simplify 1 into 1 4.606 * [backup-simplify]: Simplify (* 1 1) into 1 4.607 * [backup-simplify]: Simplify (* 1 1) into 1 4.607 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 4.607 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 4.608 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.609 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.610 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)))) into 0 4.610 * [backup-simplify]: Simplify 0 into 0 4.611 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.611 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.612 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.613 * [backup-simplify]: Simplify 0 into 0 4.614 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.615 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.616 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.616 * [backup-simplify]: Simplify 0 into 0 4.617 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.619 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.620 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.620 * [backup-simplify]: Simplify 0 into 0 4.621 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.622 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.623 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.624 * [backup-simplify]: Simplify 0 into 0 4.625 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.626 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.628 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.628 * [backup-simplify]: Simplify 0 into 0 4.628 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 3)) into (/ 0.3333333333333333 (pow N 3)) 4.628 * [backup-simplify]: Simplify (/ 0.3333333333333333 (pow (/ 1 N) 3)) into (* 0.3333333333333333 (pow N 3)) 4.628 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in (N) around 0 4.628 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 4.628 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 4.628 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 4.628 * [taylor]: Taking taylor expansion of (pow N 3) in N 4.628 * [taylor]: Taking taylor expansion of N in N 4.628 * [backup-simplify]: Simplify 0 into 0 4.628 * [backup-simplify]: Simplify 1 into 1 4.628 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 4.628 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 4.628 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 4.629 * [taylor]: Taking taylor expansion of (pow N 3) in N 4.629 * [taylor]: Taking taylor expansion of N in N 4.629 * [backup-simplify]: Simplify 0 into 0 4.629 * [backup-simplify]: Simplify 1 into 1 4.629 * [backup-simplify]: Simplify (* 1 1) into 1 4.629 * [backup-simplify]: Simplify (* 1 1) into 1 4.630 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 4.630 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 4.631 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.631 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.632 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 4.632 * [backup-simplify]: Simplify 0 into 0 4.633 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.634 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.635 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 4.635 * [backup-simplify]: Simplify 0 into 0 4.636 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.637 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.639 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.639 * [backup-simplify]: Simplify 0 into 0 4.640 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.641 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.643 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.643 * [backup-simplify]: Simplify 0 into 0 4.644 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.646 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.647 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.647 * [backup-simplify]: Simplify 0 into 0 4.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.651 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.653 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.653 * [backup-simplify]: Simplify 0 into 0 4.653 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 3)) into (/ 0.3333333333333333 (pow N 3)) 4.654 * [backup-simplify]: Simplify (/ 0.3333333333333333 (pow (/ 1 (- N)) 3)) into (* -0.3333333333333333 (pow N 3)) 4.654 * [approximate]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in (N) around 0 4.654 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 4.654 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 4.654 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 4.654 * [taylor]: Taking taylor expansion of (pow N 3) in N 4.654 * [taylor]: Taking taylor expansion of N in N 4.654 * [backup-simplify]: Simplify 0 into 0 4.654 * [backup-simplify]: Simplify 1 into 1 4.654 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 4.654 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 4.654 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 4.654 * [taylor]: Taking taylor expansion of (pow N 3) in N 4.654 * [taylor]: Taking taylor expansion of N in N 4.654 * [backup-simplify]: Simplify 0 into 0 4.654 * [backup-simplify]: Simplify 1 into 1 4.655 * [backup-simplify]: Simplify (* 1 1) into 1 4.655 * [backup-simplify]: Simplify (* 1 1) into 1 4.656 * [backup-simplify]: Simplify (* -0.3333333333333333 1) into -0.3333333333333333 4.656 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 4.657 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.657 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.658 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (* 0 1)) into 0 4.658 * [backup-simplify]: Simplify 0 into 0 4.659 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.660 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.661 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 4.661 * [backup-simplify]: Simplify 0 into 0 4.662 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.663 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.665 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.665 * [backup-simplify]: Simplify 0 into 0 4.666 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.667 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.668 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.669 * [backup-simplify]: Simplify 0 into 0 4.670 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.671 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.673 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.673 * [backup-simplify]: Simplify 0 into 0 4.674 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.676 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.678 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.678 * [backup-simplify]: Simplify 0 into 0 4.678 * [backup-simplify]: Simplify (* -0.3333333333333333 (pow (/ 1 (- N)) 3)) into (/ 0.3333333333333333 (pow N 3)) 4.678 * * * * [progress]: [ 2 / 3 ] generating series at (2) 4.678 * [backup-simplify]: Simplify (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (/ 0.3333333333333333 (pow N 3))) into (fma (/ 1 N) (- 1.0 (* 0.5 (/ 1 N))) (/ 0.3333333333333333 (pow N 3))) 4.678 * [approximate]: Taking taylor expansion of (fma (/ 1 N) (- 1.0 (* 0.5 (/ 1 N))) (/ 0.3333333333333333 (pow N 3))) in (N) around 0 4.678 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (- 1.0 (* 0.5 (/ 1 N))) (/ 0.3333333333333333 (pow N 3))) in N 4.680 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (- 1.0 (* 0.5 (/ 1 N)))) (/ 0.3333333333333333 (pow N 3))) 4.680 * [taylor]: Taking taylor expansion of (* (/ 1 N) (- 1.0 (* 0.5 (/ 1 N)))) in N 4.680 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.680 * [taylor]: Taking taylor expansion of N in N 4.681 * [backup-simplify]: Simplify 0 into 0 4.681 * [backup-simplify]: Simplify 1 into 1 4.681 * [backup-simplify]: Simplify (/ 1 1) into 1 4.681 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 (/ 1 N))) in N 4.681 * [taylor]: Taking taylor expansion of 1.0 in N 4.681 * [backup-simplify]: Simplify 1.0 into 1.0 4.681 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 N)) in N 4.681 * [taylor]: Taking taylor expansion of 0.5 in N 4.681 * [backup-simplify]: Simplify 0.5 into 0.5 4.681 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.681 * [taylor]: Taking taylor expansion of N in N 4.681 * [backup-simplify]: Simplify 0 into 0 4.681 * [backup-simplify]: Simplify 1 into 1 4.682 * [backup-simplify]: Simplify (/ 1 1) into 1 4.682 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 4.682 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 4.682 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 4.682 * [taylor]: Taking taylor expansion of (pow N 3) in N 4.682 * [taylor]: Taking taylor expansion of N in N 4.682 * [backup-simplify]: Simplify 0 into 0 4.682 * [backup-simplify]: Simplify 1 into 1 4.682 * [backup-simplify]: Simplify (* 1 1) into 1 4.683 * [backup-simplify]: Simplify (* 1 1) into 1 4.683 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 4.683 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (- 1.0 (* 0.5 (/ 1 N))) (/ 0.3333333333333333 (pow N 3))) in N 4.683 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (- 1.0 (* 0.5 (/ 1 N)))) (/ 0.3333333333333333 (pow N 3))) 4.684 * [taylor]: Taking taylor expansion of (* (/ 1 N) (- 1.0 (* 0.5 (/ 1 N)))) in N 4.684 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.684 * [taylor]: Taking taylor expansion of N in N 4.684 * [backup-simplify]: Simplify 0 into 0 4.684 * [backup-simplify]: Simplify 1 into 1 4.684 * [backup-simplify]: Simplify (/ 1 1) into 1 4.684 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 (/ 1 N))) in N 4.684 * [taylor]: Taking taylor expansion of 1.0 in N 4.684 * [backup-simplify]: Simplify 1.0 into 1.0 4.684 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 N)) in N 4.684 * [taylor]: Taking taylor expansion of 0.5 in N 4.684 * [backup-simplify]: Simplify 0.5 into 0.5 4.684 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.684 * [taylor]: Taking taylor expansion of N in N 4.684 * [backup-simplify]: Simplify 0 into 0 4.684 * [backup-simplify]: Simplify 1 into 1 4.685 * [backup-simplify]: Simplify (/ 1 1) into 1 4.685 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 4.685 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 4.685 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 4.685 * [taylor]: Taking taylor expansion of (pow N 3) in N 4.685 * [taylor]: Taking taylor expansion of N in N 4.685 * [backup-simplify]: Simplify 0 into 0 4.685 * [backup-simplify]: Simplify 1 into 1 4.685 * [backup-simplify]: Simplify (* 1 1) into 1 4.686 * [backup-simplify]: Simplify (* 1 1) into 1 4.686 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 4.687 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 4.687 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 4.687 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.688 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 4.689 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 4.690 * [backup-simplify]: Simplify (* 1 (- 0.5)) into -0.5 4.690 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.691 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.692 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)))) into 0 4.692 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 4.692 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 4.693 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.694 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 4.694 * [backup-simplify]: Simplify (- 0) into 0 4.695 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.697 * [backup-simplify]: Simplify (+ (* 1 1.0) (* 0 (- 0.5))) into 1.0 4.698 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.699 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.700 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.701 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.701 * [backup-simplify]: Simplify 1.0 into 1.0 4.702 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 0.3333333333333333 (pow (/ 1 N) 3)))) into (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) 4.702 * [backup-simplify]: Simplify (fma (/ 1 (/ 1 N)) (- 1.0 (/ 0.5 (/ 1 N))) (/ 0.3333333333333333 (pow (/ 1 N) 3))) into (fma N (- 1.0 (* 0.5 N)) (* 0.3333333333333333 (pow N 3))) 4.702 * [approximate]: Taking taylor expansion of (fma N (- 1.0 (* 0.5 N)) (* 0.3333333333333333 (pow N 3))) in (N) around 0 4.702 * [taylor]: Taking taylor expansion of (fma N (- 1.0 (* 0.5 N)) (* 0.3333333333333333 (pow N 3))) in N 4.702 * [taylor]: Rewrote expression to (+ (* N (- 1.0 (* 0.5 N))) (* 0.3333333333333333 (pow N 3))) 4.702 * [taylor]: Taking taylor expansion of (* N (- 1.0 (* 0.5 N))) in N 4.702 * [taylor]: Taking taylor expansion of N in N 4.702 * [backup-simplify]: Simplify 0 into 0 4.702 * [backup-simplify]: Simplify 1 into 1 4.702 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 N)) in N 4.702 * [taylor]: Taking taylor expansion of 1.0 in N 4.702 * [backup-simplify]: Simplify 1.0 into 1.0 4.703 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 4.703 * [taylor]: Taking taylor expansion of 0.5 in N 4.703 * [backup-simplify]: Simplify 0.5 into 0.5 4.703 * [taylor]: Taking taylor expansion of N in N 4.703 * [backup-simplify]: Simplify 0 into 0 4.703 * [backup-simplify]: Simplify 1 into 1 4.703 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 4.703 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 4.703 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 4.703 * [taylor]: Taking taylor expansion of (pow N 3) in N 4.703 * [taylor]: Taking taylor expansion of N in N 4.703 * [backup-simplify]: Simplify 0 into 0 4.703 * [backup-simplify]: Simplify 1 into 1 4.703 * [taylor]: Taking taylor expansion of (fma N (- 1.0 (* 0.5 N)) (* 0.3333333333333333 (pow N 3))) in N 4.703 * [taylor]: Rewrote expression to (+ (* N (- 1.0 (* 0.5 N))) (* 0.3333333333333333 (pow N 3))) 4.703 * [taylor]: Taking taylor expansion of (* N (- 1.0 (* 0.5 N))) in N 4.703 * [taylor]: Taking taylor expansion of N in N 4.703 * [backup-simplify]: Simplify 0 into 0 4.703 * [backup-simplify]: Simplify 1 into 1 4.703 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 N)) in N 4.703 * [taylor]: Taking taylor expansion of 1.0 in N 4.703 * [backup-simplify]: Simplify 1.0 into 1.0 4.703 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 4.703 * [taylor]: Taking taylor expansion of 0.5 in N 4.703 * [backup-simplify]: Simplify 0.5 into 0.5 4.703 * [taylor]: Taking taylor expansion of N in N 4.703 * [backup-simplify]: Simplify 0 into 0 4.703 * [backup-simplify]: Simplify 1 into 1 4.703 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 4.703 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 4.703 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 4.703 * [taylor]: Taking taylor expansion of (pow N 3) in N 4.704 * [taylor]: Taking taylor expansion of N in N 4.704 * [backup-simplify]: Simplify 0 into 0 4.704 * [backup-simplify]: Simplify 1 into 1 4.704 * [backup-simplify]: Simplify (* 0.5 0) into 0 4.705 * [backup-simplify]: Simplify (- 0) into 0 4.705 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.705 * [backup-simplify]: Simplify (* 0 1.0) into 0 4.706 * [backup-simplify]: Simplify (+ 0 0) into 0 4.706 * [backup-simplify]: Simplify 0 into 0 4.707 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 4.708 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 4.709 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 4.711 * [backup-simplify]: Simplify (+ (* 0 (- 0.5)) (* 1 1.0)) into 1.0 4.712 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.712 * [backup-simplify]: Simplify 1.0 into 1.0 4.713 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 4.713 * [backup-simplify]: Simplify (- 0) into 0 4.713 * [backup-simplify]: Simplify (+ 0 0) into 0 4.717 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (- 0.5)) (* 0 1.0))) into (- 0.5) 4.718 * [backup-simplify]: Simplify (+ (- 0.5) 0) into (- 0.5) 4.718 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 4.719 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.720 * [backup-simplify]: Simplify (- 0) into 0 4.720 * [backup-simplify]: Simplify (+ 0 0) into 0 4.722 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (- 0.5)) (* 0 1.0)))) into 0 4.722 * [backup-simplify]: Simplify (* 1 1) into 1 4.722 * [backup-simplify]: Simplify (* 1 1) into 1 4.723 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 4.723 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 4.723 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 4.724 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 1.0 (/ 1 N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 4.725 * [backup-simplify]: Simplify (fma (/ 1 (/ 1 (- N))) (- 1.0 (/ 0.5 (/ 1 (- N)))) (/ 0.3333333333333333 (pow (/ 1 (- N)) 3))) into (fma (* -1 N) (+ (* 0.5 N) 1.0) (* -0.3333333333333333 (pow N 3))) 4.725 * [approximate]: Taking taylor expansion of (fma (* -1 N) (+ (* 0.5 N) 1.0) (* -0.3333333333333333 (pow N 3))) in (N) around 0 4.725 * [taylor]: Taking taylor expansion of (fma (* -1 N) (+ (* 0.5 N) 1.0) (* -0.3333333333333333 (pow N 3))) in N 4.725 * [taylor]: Rewrote expression to (+ (* (* -1 N) (+ (* 0.5 N) 1.0)) (* -0.3333333333333333 (pow N 3))) 4.725 * [taylor]: Taking taylor expansion of (* (* -1 N) (+ (* 0.5 N) 1.0)) in N 4.725 * [taylor]: Taking taylor expansion of (* -1 N) in N 4.725 * [taylor]: Taking taylor expansion of -1 in N 4.725 * [backup-simplify]: Simplify -1 into -1 4.725 * [taylor]: Taking taylor expansion of N in N 4.725 * [backup-simplify]: Simplify 0 into 0 4.725 * [backup-simplify]: Simplify 1 into 1 4.725 * [taylor]: Taking taylor expansion of (+ (* 0.5 N) 1.0) in N 4.725 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 4.725 * [taylor]: Taking taylor expansion of 0.5 in N 4.725 * [backup-simplify]: Simplify 0.5 into 0.5 4.725 * [taylor]: Taking taylor expansion of N in N 4.725 * [backup-simplify]: Simplify 0 into 0 4.725 * [backup-simplify]: Simplify 1 into 1 4.725 * [taylor]: Taking taylor expansion of 1.0 in N 4.725 * [backup-simplify]: Simplify 1.0 into 1.0 4.725 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 4.725 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 4.725 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 4.725 * [taylor]: Taking taylor expansion of (pow N 3) in N 4.725 * [taylor]: Taking taylor expansion of N in N 4.725 * [backup-simplify]: Simplify 0 into 0 4.725 * [backup-simplify]: Simplify 1 into 1 4.726 * [taylor]: Taking taylor expansion of (fma (* -1 N) (+ (* 0.5 N) 1.0) (* -0.3333333333333333 (pow N 3))) in N 4.726 * [taylor]: Rewrote expression to (+ (* (* -1 N) (+ (* 0.5 N) 1.0)) (* -0.3333333333333333 (pow N 3))) 4.726 * [taylor]: Taking taylor expansion of (* (* -1 N) (+ (* 0.5 N) 1.0)) in N 4.726 * [taylor]: Taking taylor expansion of (* -1 N) in N 4.726 * [taylor]: Taking taylor expansion of -1 in N 4.726 * [backup-simplify]: Simplify -1 into -1 4.726 * [taylor]: Taking taylor expansion of N in N 4.726 * [backup-simplify]: Simplify 0 into 0 4.726 * [backup-simplify]: Simplify 1 into 1 4.726 * [taylor]: Taking taylor expansion of (+ (* 0.5 N) 1.0) in N 4.726 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 4.726 * [taylor]: Taking taylor expansion of 0.5 in N 4.726 * [backup-simplify]: Simplify 0.5 into 0.5 4.726 * [taylor]: Taking taylor expansion of N in N 4.726 * [backup-simplify]: Simplify 0 into 0 4.726 * [backup-simplify]: Simplify 1 into 1 4.726 * [taylor]: Taking taylor expansion of 1.0 in N 4.726 * [backup-simplify]: Simplify 1.0 into 1.0 4.726 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 4.726 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 4.726 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 4.726 * [taylor]: Taking taylor expansion of (pow N 3) in N 4.726 * [taylor]: Taking taylor expansion of N in N 4.726 * [backup-simplify]: Simplify 0 into 0 4.726 * [backup-simplify]: Simplify 1 into 1 4.727 * [backup-simplify]: Simplify (* -1 0) into 0 4.727 * [backup-simplify]: Simplify (* 0.5 0) into 0 4.728 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.728 * [backup-simplify]: Simplify (* 0 1.0) into 0 4.729 * [backup-simplify]: Simplify (+ 0 0) into 0 4.729 * [backup-simplify]: Simplify 0 into 0 4.730 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 4.731 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 4.731 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 4.733 * [backup-simplify]: Simplify (+ (* 0 0.5) (* -1 1.0)) into (- 1.0) 4.734 * [backup-simplify]: Simplify (+ (- 1.0) 0) into (- 1.0) 4.734 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 4.735 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 4.736 * [backup-simplify]: Simplify (+ 0 0) into 0 4.737 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 4.740 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* -1 0.5) (* 0 1.0))) into (- 0.5) 4.741 * [backup-simplify]: Simplify (+ (- 0.5) 0) into (- 0.5) 4.741 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 4.742 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.743 * [backup-simplify]: Simplify (+ 0 0) into 0 4.749 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.751 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* -1 0) (+ (* 0 0.5) (* 0 1.0)))) into 0 4.751 * [backup-simplify]: Simplify (* 1 1) into 1 4.752 * [backup-simplify]: Simplify (* 1 1) into 1 4.752 * [backup-simplify]: Simplify (* -0.3333333333333333 1) into -0.3333333333333333 4.753 * [backup-simplify]: Simplify (+ 0 -0.3333333333333333) into (- 0.3333333333333333) 4.753 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 4.756 * [backup-simplify]: Simplify (+ (* (- 0.3333333333333333) (pow (/ 1 (- N)) 3)) (+ (* (- 0.5) (pow (/ 1 (- N)) 2)) (* (- 1.0) (/ 1 (- N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 4.756 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 4.757 * [backup-simplify]: Simplify (- 1.0 (/ 0.5 N)) into (- 1.0 (* 0.5 (/ 1 N))) 4.757 * [approximate]: Taking taylor expansion of (- 1.0 (* 0.5 (/ 1 N))) in (N) around 0 4.757 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 (/ 1 N))) in N 4.757 * [taylor]: Taking taylor expansion of 1.0 in N 4.757 * [backup-simplify]: Simplify 1.0 into 1.0 4.757 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 N)) in N 4.757 * [taylor]: Taking taylor expansion of 0.5 in N 4.757 * [backup-simplify]: Simplify 0.5 into 0.5 4.757 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.757 * [taylor]: Taking taylor expansion of N in N 4.757 * [backup-simplify]: Simplify 0 into 0 4.757 * [backup-simplify]: Simplify 1 into 1 4.757 * [backup-simplify]: Simplify (/ 1 1) into 1 4.757 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 (/ 1 N))) in N 4.757 * [taylor]: Taking taylor expansion of 1.0 in N 4.758 * [backup-simplify]: Simplify 1.0 into 1.0 4.758 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 N)) in N 4.758 * [taylor]: Taking taylor expansion of 0.5 in N 4.758 * [backup-simplify]: Simplify 0.5 into 0.5 4.758 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.758 * [taylor]: Taking taylor expansion of N in N 4.758 * [backup-simplify]: Simplify 0 into 0 4.758 * [backup-simplify]: Simplify 1 into 1 4.758 * [backup-simplify]: Simplify (/ 1 1) into 1 4.759 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.759 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 4.760 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 4.760 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 4.761 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.762 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 4.762 * [backup-simplify]: Simplify (- 0) into 0 4.763 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.763 * [backup-simplify]: Simplify 1.0 into 1.0 4.764 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.765 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 4.765 * [backup-simplify]: Simplify (- 0) into 0 4.766 * [backup-simplify]: Simplify (+ 0 0) into 0 4.766 * [backup-simplify]: Simplify 0 into 0 4.767 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.768 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.768 * [backup-simplify]: Simplify (- 0) into 0 4.769 * [backup-simplify]: Simplify (+ 0 0) into 0 4.769 * [backup-simplify]: Simplify 0 into 0 4.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.771 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.771 * [backup-simplify]: Simplify (- 0) into 0 4.772 * [backup-simplify]: Simplify (+ 0 0) into 0 4.772 * [backup-simplify]: Simplify 0 into 0 4.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.774 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.775 * [backup-simplify]: Simplify (- 0) into 0 4.775 * [backup-simplify]: Simplify (+ 0 0) into 0 4.775 * [backup-simplify]: Simplify 0 into 0 4.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.778 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.779 * [backup-simplify]: Simplify (- 0) into 0 4.779 * [backup-simplify]: Simplify (+ 0 0) into 0 4.779 * [backup-simplify]: Simplify 0 into 0 4.780 * [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 4.782 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 4.783 * [backup-simplify]: Simplify (- 0) into 0 4.783 * [backup-simplify]: Simplify (+ 0 0) into 0 4.783 * [backup-simplify]: Simplify 0 into 0 4.784 * [backup-simplify]: Simplify (+ 1.0 (* (- 0.5) (/ 1 N))) into (- 1.0 (* 0.5 (/ 1 N))) 4.784 * [backup-simplify]: Simplify (- 1.0 (/ 0.5 (/ 1 N))) into (- 1.0 (* 0.5 N)) 4.784 * [approximate]: Taking taylor expansion of (- 1.0 (* 0.5 N)) in (N) around 0 4.784 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 N)) in N 4.784 * [taylor]: Taking taylor expansion of 1.0 in N 4.784 * [backup-simplify]: Simplify 1.0 into 1.0 4.784 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 4.784 * [taylor]: Taking taylor expansion of 0.5 in N 4.784 * [backup-simplify]: Simplify 0.5 into 0.5 4.784 * [taylor]: Taking taylor expansion of N in N 4.784 * [backup-simplify]: Simplify 0 into 0 4.784 * [backup-simplify]: Simplify 1 into 1 4.784 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 N)) in N 4.784 * [taylor]: Taking taylor expansion of 1.0 in N 4.784 * [backup-simplify]: Simplify 1.0 into 1.0 4.784 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 4.784 * [taylor]: Taking taylor expansion of 0.5 in N 4.784 * [backup-simplify]: Simplify 0.5 into 0.5 4.784 * [taylor]: Taking taylor expansion of N in N 4.784 * [backup-simplify]: Simplify 0 into 0 4.784 * [backup-simplify]: Simplify 1 into 1 4.785 * [backup-simplify]: Simplify (* 0.5 0) into 0 4.785 * [backup-simplify]: Simplify (- 0) into 0 4.786 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.786 * [backup-simplify]: Simplify 1.0 into 1.0 4.787 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 4.788 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 4.789 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 4.789 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 4.790 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 4.790 * [backup-simplify]: Simplify (- 0) into 0 4.791 * [backup-simplify]: Simplify (+ 0 0) into 0 4.791 * [backup-simplify]: Simplify 0 into 0 4.792 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.792 * [backup-simplify]: Simplify (- 0) into 0 4.793 * [backup-simplify]: Simplify (+ 0 0) into 0 4.793 * [backup-simplify]: Simplify 0 into 0 4.794 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 4.795 * [backup-simplify]: Simplify (- 0) into 0 4.795 * [backup-simplify]: Simplify (+ 0 0) into 0 4.795 * [backup-simplify]: Simplify 0 into 0 4.797 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 4.797 * [backup-simplify]: Simplify (- 0) into 0 4.798 * [backup-simplify]: Simplify (+ 0 0) into 0 4.798 * [backup-simplify]: Simplify 0 into 0 4.801 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 4.801 * [backup-simplify]: Simplify (- 0) into 0 4.801 * [backup-simplify]: Simplify (+ 0 0) into 0 4.802 * [backup-simplify]: Simplify 0 into 0 4.804 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 4.804 * [backup-simplify]: Simplify (- 0) into 0 4.805 * [backup-simplify]: Simplify (+ 0 0) into 0 4.805 * [backup-simplify]: Simplify 0 into 0 4.805 * [backup-simplify]: Simplify (+ (* (- 0.5) (/ 1 N)) 1.0) into (- 1.0 (* 0.5 (/ 1 N))) 4.806 * [backup-simplify]: Simplify (- 1.0 (/ 0.5 (/ 1 (- N)))) into (+ (* 0.5 N) 1.0) 4.806 * [approximate]: Taking taylor expansion of (+ (* 0.5 N) 1.0) in (N) around 0 4.806 * [taylor]: Taking taylor expansion of (+ (* 0.5 N) 1.0) in N 4.806 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 4.806 * [taylor]: Taking taylor expansion of 0.5 in N 4.806 * [backup-simplify]: Simplify 0.5 into 0.5 4.806 * [taylor]: Taking taylor expansion of N in N 4.806 * [backup-simplify]: Simplify 0 into 0 4.806 * [backup-simplify]: Simplify 1 into 1 4.806 * [taylor]: Taking taylor expansion of 1.0 in N 4.806 * [backup-simplify]: Simplify 1.0 into 1.0 4.806 * [taylor]: Taking taylor expansion of (+ (* 0.5 N) 1.0) in N 4.806 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 4.806 * [taylor]: Taking taylor expansion of 0.5 in N 4.806 * [backup-simplify]: Simplify 0.5 into 0.5 4.806 * [taylor]: Taking taylor expansion of N in N 4.806 * [backup-simplify]: Simplify 0 into 0 4.806 * [backup-simplify]: Simplify 1 into 1 4.806 * [taylor]: Taking taylor expansion of 1.0 in N 4.806 * [backup-simplify]: Simplify 1.0 into 1.0 4.807 * [backup-simplify]: Simplify (* 0.5 0) into 0 4.807 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.807 * [backup-simplify]: Simplify 1.0 into 1.0 4.809 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 4.809 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 4.809 * [backup-simplify]: Simplify 0.5 into 0.5 4.810 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 4.811 * [backup-simplify]: Simplify (+ 0 0) into 0 4.811 * [backup-simplify]: Simplify 0 into 0 4.812 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.812 * [backup-simplify]: Simplify (+ 0 0) into 0 4.812 * [backup-simplify]: Simplify 0 into 0 4.813 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 4.814 * [backup-simplify]: Simplify (+ 0 0) into 0 4.814 * [backup-simplify]: Simplify 0 into 0 4.815 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 4.816 * [backup-simplify]: Simplify (+ 0 0) into 0 4.816 * [backup-simplify]: Simplify 0 into 0 4.817 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 4.818 * [backup-simplify]: Simplify (+ 0 0) into 0 4.818 * [backup-simplify]: Simplify 0 into 0 4.820 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 4.820 * [backup-simplify]: Simplify (+ 0 0) into 0 4.820 * [backup-simplify]: Simplify 0 into 0 4.821 * [backup-simplify]: Simplify (+ (* 0.5 (/ 1 (- N))) 1.0) into (- 1.0 (* 0.5 (/ 1 N))) 4.821 * * * [progress]: simplifying candidates 4.826 * [simplify]: Simplifying: (expm1 (/ 0.3333333333333333 (pow N 3))) (log1p (/ 0.3333333333333333 (pow N 3))) (- (log 0.3333333333333333) (* (log N) 3)) (- (log 0.3333333333333333) (* (log N) 3)) (- (log 0.3333333333333333) (log (pow N 3))) (log (/ 0.3333333333333333 (pow N 3))) (exp (/ 0.3333333333333333 (pow N 3))) (/ (* (* 0.3333333333333333 0.3333333333333333) 0.3333333333333333) (* (* (pow N 3) (pow N 3)) (pow N 3))) (* (cbrt (/ 0.3333333333333333 (pow N 3))) (cbrt (/ 0.3333333333333333 (pow N 3)))) (cbrt (/ 0.3333333333333333 (pow N 3))) (* (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))) (/ 0.3333333333333333 (pow N 3))) (sqrt (/ 0.3333333333333333 (pow N 3))) (sqrt (/ 0.3333333333333333 (pow N 3))) (- 0.3333333333333333) (- (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (* (cbrt N) (cbrt N)) 3)) (/ (cbrt 0.3333333333333333) (pow (cbrt N) 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (sqrt N) 3)) (/ (cbrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow 1 3)) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* N N)) (/ (cbrt 0.3333333333333333) N) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* (cbrt (pow N 3)) (cbrt (pow N 3)))) (/ (cbrt 0.3333333333333333) (cbrt (pow N 3))) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (* (cbrt N) (cbrt N)) 3)) (/ (cbrt 0.3333333333333333) (pow (cbrt N) 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (sqrt N) 3)) (/ (cbrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow 1 3)) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) N) (/ (cbrt 0.3333333333333333) (* N N)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (sqrt (pow N 3))) (/ (cbrt 0.3333333333333333) (sqrt (pow N 3))) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) 1) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow N (/ 3 2))) (/ (cbrt 0.3333333333333333) (pow N (/ 3 2))) (/ (sqrt 0.3333333333333333) (pow (* (cbrt N) (cbrt N)) 3)) (/ (sqrt 0.3333333333333333) (pow (cbrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow 1 3)) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (* (cbrt (pow N 3)) (cbrt (pow N 3)))) (/ (sqrt 0.3333333333333333) (cbrt (pow N 3))) (/ (sqrt 0.3333333333333333) (pow (* (cbrt N) (cbrt N)) 3)) (/ (sqrt 0.3333333333333333) (pow (cbrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow 1 3)) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (/ (sqrt 0.3333333333333333) 1) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) (pow N (/ 3 2))) (/ (sqrt 0.3333333333333333) (pow N (/ 3 2))) (/ 1 (pow (* (cbrt N) (cbrt N)) 3)) (/ 0.3333333333333333 (pow (cbrt N) 3)) (/ 1 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) (/ 1 (pow 1 3)) (/ 0.3333333333333333 (pow N 3)) (/ 1 (* N N)) (/ 0.3333333333333333 N) (/ 1 (* (cbrt (pow N 3)) (cbrt (pow N 3)))) (/ 0.3333333333333333 (cbrt (pow N 3))) (/ 1 (pow (* (cbrt N) (cbrt N)) 3)) (/ 0.3333333333333333 (pow (cbrt N) 3)) (/ 1 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) (/ 1 (pow 1 3)) (/ 0.3333333333333333 (pow N 3)) (/ 1 N) (/ 0.3333333333333333 (* N N)) (/ 1 (sqrt (pow N 3))) (/ 0.3333333333333333 (sqrt (pow N 3))) (/ 1 1) (/ 0.3333333333333333 (pow N 3)) (/ 1 (pow N (/ 3 2))) (/ 0.3333333333333333 (pow N (/ 3 2))) (/ 1 (pow N 3)) (/ (pow N 3) 0.3333333333333333) (/ 0.3333333333333333 (pow (* (cbrt N) (cbrt N)) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow 1 3)) (/ 0.3333333333333333 (* N N)) (/ 0.3333333333333333 (* (cbrt (pow N 3)) (cbrt (pow N 3)))) (/ 0.3333333333333333 (pow (* (cbrt N) (cbrt N)) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow 1 3)) (/ 0.3333333333333333 N) (/ 0.3333333333333333 (sqrt (pow N 3))) (/ 0.3333333333333333 1) (/ 0.3333333333333333 (pow N (/ 3 2))) (/ (pow N 3) (cbrt 0.3333333333333333)) (/ (pow N 3) (sqrt 0.3333333333333333)) (/ (pow N 3) 0.3333333333333333) (expm1 (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (/ 0.3333333333333333 (pow N 3)))) (log1p (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (/ 0.3333333333333333 (pow N 3)))) (* (/ 1 N) (- 1.0 (/ 0.5 N))) (log (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (/ 0.3333333333333333 (pow N 3)))) (exp (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (/ 0.3333333333333333 (pow N 3)))) (* (cbrt (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (/ 0.3333333333333333 (pow N 3)))) (cbrt (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (/ 0.3333333333333333 (pow N 3))))) (cbrt (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (/ 0.3333333333333333 (pow N 3)))) (* (* (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (/ 0.3333333333333333 (pow N 3))) (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (/ 0.3333333333333333 (pow N 3)))) (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (/ 0.3333333333333333 (pow N 3)))) (sqrt (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (/ 0.3333333333333333 (pow N 3)))) (sqrt (fma (/ 1 N) (- 1.0 (/ 0.5 N)) (/ 0.3333333333333333 (pow N 3)))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (cbrt (/ 0.5 N)) (* (cbrt (/ 0.5 N)) (cbrt (/ 0.5 N)))))) (fma (- (cbrt (/ 0.5 N))) (* (cbrt (/ 0.5 N)) (cbrt (/ 0.5 N))) (* (cbrt (/ 0.5 N)) (* (cbrt (/ 0.5 N)) (cbrt (/ 0.5 N))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (sqrt (/ 0.5 N)) (sqrt (/ 0.5 N))))) (fma (- (sqrt (/ 0.5 N))) (sqrt (/ 0.5 N)) (* (sqrt (/ 0.5 N)) (sqrt (/ 0.5 N)))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (/ (cbrt 0.5) (cbrt N)) (/ (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt N) (cbrt N)))))) (fma (- (/ (cbrt 0.5) (cbrt N))) (/ (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt N) (cbrt N))) (* (/ (cbrt 0.5) (cbrt N)) (/ (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt N) (cbrt N))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (/ (cbrt 0.5) (sqrt N)) (/ (* (cbrt 0.5) (cbrt 0.5)) (sqrt N))))) (fma (- (/ (cbrt 0.5) (sqrt N))) (/ (* (cbrt 0.5) (cbrt 0.5)) (sqrt N)) (* (/ (cbrt 0.5) (sqrt N)) (/ (* (cbrt 0.5) (cbrt 0.5)) (sqrt N)))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (/ (cbrt 0.5) N) (/ (* (cbrt 0.5) (cbrt 0.5)) 1)))) (fma (- (/ (cbrt 0.5) N)) (/ (* (cbrt 0.5) (cbrt 0.5)) 1) (* (/ (cbrt 0.5) N) (/ (* (cbrt 0.5) (cbrt 0.5)) 1))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (/ (sqrt 0.5) (cbrt N)) (/ (sqrt 0.5) (* (cbrt N) (cbrt N)))))) (fma (- (/ (sqrt 0.5) (cbrt N))) (/ (sqrt 0.5) (* (cbrt N) (cbrt N))) (* (/ (sqrt 0.5) (cbrt N)) (/ (sqrt 0.5) (* (cbrt N) (cbrt N))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (/ (sqrt 0.5) (sqrt N)) (/ (sqrt 0.5) (sqrt N))))) (fma (- (/ (sqrt 0.5) (sqrt N))) (/ (sqrt 0.5) (sqrt N)) (* (/ (sqrt 0.5) (sqrt N)) (/ (sqrt 0.5) (sqrt N)))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (/ (sqrt 0.5) N) (/ (sqrt 0.5) 1)))) (fma (- (/ (sqrt 0.5) N)) (/ (sqrt 0.5) 1) (* (/ (sqrt 0.5) N) (/ (sqrt 0.5) 1))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (/ 0.5 (cbrt N)) (/ 1 (* (cbrt N) (cbrt N)))))) (fma (- (/ 0.5 (cbrt N))) (/ 1 (* (cbrt N) (cbrt N))) (* (/ 0.5 (cbrt N)) (/ 1 (* (cbrt N) (cbrt N))))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (/ 0.5 (sqrt N)) (/ 1 (sqrt N))))) (fma (- (/ 0.5 (sqrt N))) (/ 1 (sqrt N)) (* (/ 0.5 (sqrt N)) (/ 1 (sqrt N)))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (/ 0.5 N) (/ 1 1)))) (fma (- (/ 0.5 N)) (/ 1 1) (* (/ 0.5 N) (/ 1 1))) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (/ 0.5 N) 1))) (fma (- (/ 0.5 N)) 1 (* (/ 0.5 N) 1)) (fma (* (cbrt 1.0) (cbrt 1.0)) (cbrt 1.0) (- (* (/ 1 N) 0.5))) (fma (- (/ 1 N)) 0.5 (* (/ 1 N) 0.5)) (fma (sqrt 1.0) (sqrt 1.0) (- (* (cbrt (/ 0.5 N)) (* (cbrt (/ 0.5 N)) (cbrt (/ 0.5 N)))))) (fma (- (cbrt (/ 0.5 N))) (* (cbrt (/ 0.5 N)) (cbrt (/ 0.5 N))) (* (cbrt (/ 0.5 N)) (* (cbrt (/ 0.5 N)) (cbrt (/ 0.5 N))))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (sqrt (/ 0.5 N)) (sqrt (/ 0.5 N))))) (fma (- (sqrt (/ 0.5 N))) (sqrt (/ 0.5 N)) (* (sqrt (/ 0.5 N)) (sqrt (/ 0.5 N)))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (/ (cbrt 0.5) (cbrt N)) (/ (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt N) (cbrt N)))))) (fma (- (/ (cbrt 0.5) (cbrt N))) (/ (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt N) (cbrt N))) (* (/ (cbrt 0.5) (cbrt N)) (/ (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt N) (cbrt N))))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (/ (cbrt 0.5) (sqrt N)) (/ (* (cbrt 0.5) (cbrt 0.5)) (sqrt N))))) (fma (- (/ (cbrt 0.5) (sqrt N))) (/ (* (cbrt 0.5) (cbrt 0.5)) (sqrt N)) (* (/ (cbrt 0.5) (sqrt N)) (/ (* (cbrt 0.5) (cbrt 0.5)) (sqrt N)))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (/ (cbrt 0.5) N) (/ (* (cbrt 0.5) (cbrt 0.5)) 1)))) (fma (- (/ (cbrt 0.5) N)) (/ (* (cbrt 0.5) (cbrt 0.5)) 1) (* (/ (cbrt 0.5) N) (/ (* (cbrt 0.5) (cbrt 0.5)) 1))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (/ (sqrt 0.5) (cbrt N)) (/ (sqrt 0.5) (* (cbrt N) (cbrt N)))))) (fma (- (/ (sqrt 0.5) (cbrt N))) (/ (sqrt 0.5) (* (cbrt N) (cbrt N))) (* (/ (sqrt 0.5) (cbrt N)) (/ (sqrt 0.5) (* (cbrt N) (cbrt N))))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (/ (sqrt 0.5) (sqrt N)) (/ (sqrt 0.5) (sqrt N))))) (fma (- (/ (sqrt 0.5) (sqrt N))) (/ (sqrt 0.5) (sqrt N)) (* (/ (sqrt 0.5) (sqrt N)) (/ (sqrt 0.5) (sqrt N)))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (/ (sqrt 0.5) N) (/ (sqrt 0.5) 1)))) (fma (- (/ (sqrt 0.5) N)) (/ (sqrt 0.5) 1) (* (/ (sqrt 0.5) N) (/ (sqrt 0.5) 1))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (/ 0.5 (cbrt N)) (/ 1 (* (cbrt N) (cbrt N)))))) (fma (- (/ 0.5 (cbrt N))) (/ 1 (* (cbrt N) (cbrt N))) (* (/ 0.5 (cbrt N)) (/ 1 (* (cbrt N) (cbrt N))))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (/ 0.5 (sqrt N)) (/ 1 (sqrt N))))) (fma (- (/ 0.5 (sqrt N))) (/ 1 (sqrt N)) (* (/ 0.5 (sqrt N)) (/ 1 (sqrt N)))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (/ 0.5 N) (/ 1 1)))) (fma (- (/ 0.5 N)) (/ 1 1) (* (/ 0.5 N) (/ 1 1))) (fma (sqrt 1.0) (sqrt 1.0) (- (* (/ 0.5 N) 1))) (fma (- (/ 0.5 N)) 1 (* (/ 0.5 N) 1)) (fma (sqrt 1.0) (sqrt 1.0) (- (* (/ 1 N) 0.5))) (fma (- (/ 1 N)) 0.5 (* (/ 1 N) 0.5)) (fma 1 1.0 (- (* (cbrt (/ 0.5 N)) (* (cbrt (/ 0.5 N)) (cbrt (/ 0.5 N)))))) (fma (- (cbrt (/ 0.5 N))) (* (cbrt (/ 0.5 N)) (cbrt (/ 0.5 N))) (* (cbrt (/ 0.5 N)) (* (cbrt (/ 0.5 N)) (cbrt (/ 0.5 N))))) (fma 1 1.0 (- (* (sqrt (/ 0.5 N)) (sqrt (/ 0.5 N))))) (fma (- (sqrt (/ 0.5 N))) (sqrt (/ 0.5 N)) (* (sqrt (/ 0.5 N)) (sqrt (/ 0.5 N)))) (fma 1 1.0 (- (* (/ (cbrt 0.5) (cbrt N)) (/ (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt N) (cbrt N)))))) (fma (- (/ (cbrt 0.5) (cbrt N))) (/ (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt N) (cbrt N))) (* (/ (cbrt 0.5) (cbrt N)) (/ (* (cbrt 0.5) (cbrt 0.5)) (* (cbrt N) (cbrt N))))) (fma 1 1.0 (- (* (/ (cbrt 0.5) (sqrt N)) (/ (* (cbrt 0.5) (cbrt 0.5)) (sqrt N))))) (fma (- (/ (cbrt 0.5) (sqrt N))) (/ (* (cbrt 0.5) (cbrt 0.5)) (sqrt N)) (* (/ (cbrt 0.5) (sqrt N)) (/ (* (cbrt 0.5) (cbrt 0.5)) (sqrt N)))) (fma 1 1.0 (- (* (/ (cbrt 0.5) N) (/ (* (cbrt 0.5) (cbrt 0.5)) 1)))) (fma (- (/ (cbrt 0.5) N)) (/ (* (cbrt 0.5) (cbrt 0.5)) 1) (* (/ (cbrt 0.5) N) (/ (* (cbrt 0.5) (cbrt 0.5)) 1))) (fma 1 1.0 (- (* (/ (sqrt 0.5) (cbrt N)) (/ (sqrt 0.5) (* (cbrt N) (cbrt N)))))) (fma (- (/ (sqrt 0.5) (cbrt N))) (/ (sqrt 0.5) (* (cbrt N) (cbrt N))) (* (/ (sqrt 0.5) (cbrt N)) (/ (sqrt 0.5) (* (cbrt N) (cbrt N))))) (fma 1 1.0 (- (* (/ (sqrt 0.5) (sqrt N)) (/ (sqrt 0.5) (sqrt N))))) (fma (- (/ (sqrt 0.5) (sqrt N))) (/ (sqrt 0.5) (sqrt N)) (* (/ (sqrt 0.5) (sqrt N)) (/ (sqrt 0.5) (sqrt N)))) (fma 1 1.0 (- (* (/ (sqrt 0.5) N) (/ (sqrt 0.5) 1)))) (fma (- (/ (sqrt 0.5) N)) (/ (sqrt 0.5) 1) (* (/ (sqrt 0.5) N) (/ (sqrt 0.5) 1))) (fma 1 1.0 (- (* (/ 0.5 (cbrt N)) (/ 1 (* (cbrt N) (cbrt N)))))) (fma (- (/ 0.5 (cbrt N))) (/ 1 (* (cbrt N) (cbrt N))) (* (/ 0.5 (cbrt N)) (/ 1 (* (cbrt N) (cbrt N))))) (fma 1 1.0 (- (* (/ 0.5 (sqrt N)) (/ 1 (sqrt N))))) (fma (- (/ 0.5 (sqrt N))) (/ 1 (sqrt N)) (* (/ 0.5 (sqrt N)) (/ 1 (sqrt N)))) (fma 1 1.0 (- (* (/ 0.5 N) (/ 1 1)))) (fma (- (/ 0.5 N)) (/ 1 1) (* (/ 0.5 N) (/ 1 1))) (fma 1 1.0 (- (* (/ 0.5 N) 1))) (fma (- (/ 0.5 N)) 1 (* (/ 0.5 N) 1)) (fma 1 1.0 (- (* (/ 1 N) 0.5))) (fma (- (/ 1 N)) 0.5 (* (/ 1 N) 0.5)) (expm1 (- 1.0 (/ 0.5 N))) (log1p (- 1.0 (/ 0.5 N))) (- (/ 0.5 N)) (- (/ 0.5 N)) (- (/ 0.5 N)) (/ (exp 1.0) (exp (/ 0.5 N))) (log (- 1.0 (/ 0.5 N))) (exp (- 1.0 (/ 0.5 N))) (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- 1.0 (/ 0.5 N)))) (cbrt (- 1.0 (/ 0.5 N))) (* (* (- 1.0 (/ 0.5 N)) (- 1.0 (/ 0.5 N))) (- 1.0 (/ 0.5 N))) (sqrt (- 1.0 (/ 0.5 N))) (sqrt (- 1.0 (/ 0.5 N))) (- (pow 1.0 3) (pow (/ 0.5 N) 3)) (+ (* 1.0 1.0) (+ (* (/ 0.5 N) (/ 0.5 N)) (* 1.0 (/ 0.5 N)))) (- (/ 0.5 N)) (- (* 1.0 1.0) (* (/ 0.5 N) (/ 0.5 N))) (+ 1.0 (/ 0.5 N)) (+ (sqrt 1.0) (sqrt (/ 0.5 N))) (- (sqrt 1.0) (sqrt (/ 0.5 N))) (+ (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) (- (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) (- 1.0 (/ 0.5 N)) (- (/ 0.5 N)) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- 1.0 (* 0.5 (/ 1 N))) (- 1.0 (* 0.5 (/ 1 N))) (- 1.0 (* 0.5 (/ 1 N))) 4.834 * * [simplify]: Extracting # 0 : cost 0 4.835 * * [simplify]: Extracting # 1 : cost 0 4.835 * * [simplify]: Extracting # 2 : cost 0 4.835 * * [simplify]: Extracting # 3 : cost 0 4.836 * * [simplify]: Extracting # 4 : cost 0 4.836 * * [simplify]: Extracting # 5 : cost 0 4.836 * * [simplify]: Extracting # 6 : cost 0 4.837 * * [simplify]: Extracting # 7 : cost 0 4.837 * * [simplify]: iteration 0 : 264 enodes (cost 2717 ) 4.920 * * [simplify]: Extracting # 0 : cost 0 4.922 * * [simplify]: Extracting # 1 : cost 0 4.923 * * [simplify]: Extracting # 2 : cost 0 4.925 * * [simplify]: Extracting # 3 : cost 0 4.926 * * [simplify]: iteration 1 : 556 enodes (cost 2339 ) 5.178 * * [simplify]: Extracting # 0 : cost 0 5.180 * * [simplify]: Extracting # 1 : cost 0 5.182 * * [simplify]: Extracting # 2 : cost 0 5.184 * * [simplify]: Extracting # 3 : cost 0 5.186 * * [simplify]: Extracting # 4 : cost 0 5.188 * * [simplify]: iteration 2 : 1503 enodes (cost 1778 ) 6.387 * * [simplify]: Extracting # 0 : cost 0 6.395 * * [simplify]: Extracting # 1 : cost 0 6.401 * * [simplify]: Extracting # 2 : cost 0 6.418 * * [simplify]: Extracting # 3 : cost 0 6.428 * * [simplify]: Extracting # 4 : cost 0 6.433 * * [simplify]: iteration done: 5000 enodes (cost 1368 ) 6.434 * [simplify]: Simplified to: (expm1 (/ 0.3333333333333333 (pow N 3))) (log1p (/ 0.3333333333333333 (pow N 3))) (log (/ 0.3333333333333333 (pow N 3))) (log (/ 0.3333333333333333 (pow N 3))) (log (/ 0.3333333333333333 (pow N 3))) (log (/ 0.3333333333333333 (pow N 3))) (exp (/ 0.3333333333333333 (pow N 3))) (pow (/ 0.3333333333333333 (pow N 3)) 3) (* (cbrt (/ 0.3333333333333333 (pow N 3))) (cbrt (/ 0.3333333333333333 (pow N 3)))) (cbrt (/ 0.3333333333333333 (pow N 3))) (pow (/ 0.3333333333333333 (pow N 3)) 3) (sqrt (/ 0.3333333333333333 (pow N 3))) (sqrt (/ 0.3333333333333333 (pow N 3))) (- 0.3333333333333333) (- (pow N 3)) (/ (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) N) N) (/ (cbrt 0.3333333333333333) N) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (sqrt N) 3)) (/ (cbrt 0.3333333333333333) (pow (sqrt N) 3)) (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) N) N) (/ (cbrt 0.3333333333333333) N) (/ (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) N) N) (/ (cbrt 0.3333333333333333) N) (/ (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) N) N) (/ (cbrt 0.3333333333333333) N) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (sqrt N) 3)) (/ (cbrt 0.3333333333333333) (pow (sqrt N) 3)) (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) N) (/ (cbrt 0.3333333333333333) (* N N)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (sqrt (pow N 3))) (/ (cbrt 0.3333333333333333) (sqrt (pow N 3))) (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow N 3/2)) (/ (cbrt 0.3333333333333333) (pow N 3/2)) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (sqrt 0.3333333333333333) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (sqrt 0.3333333333333333) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (sqrt 0.3333333333333333) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) (pow N 3/2)) (/ (sqrt 0.3333333333333333) (pow N 3/2)) (/ 1 (pow N 2)) (/ 0.3333333333333333 N) (/ 1 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) 1 (/ 0.3333333333333333 (pow N 3)) (/ 1 (pow N 2)) (/ 0.3333333333333333 N) (/ 1 (pow N 2)) (/ 0.3333333333333333 N) (/ 1 (pow N 2)) (/ 0.3333333333333333 N) (/ 1 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) 1 (/ 0.3333333333333333 (pow N 3)) (/ 1 N) (/ 0.3333333333333333 (* N N)) (/ 1 (sqrt (pow N 3))) (/ 0.3333333333333333 (sqrt (pow N 3))) 1 (/ 0.3333333333333333 (pow N 3)) (/ 1 (pow N 3/2)) (/ 0.3333333333333333 (pow N 3/2)) (/ 1 (pow N 3)) (/ (pow N 3) 0.3333333333333333) (/ 0.3333333333333333 (* N N)) (/ 0.3333333333333333 (pow (sqrt N) 3)) 0.3333333333333333 (/ 0.3333333333333333 (* N N)) (/ 0.3333333333333333 (* N N)) (/ 0.3333333333333333 (* N N)) (/ 0.3333333333333333 (pow (sqrt N) 3)) 0.3333333333333333 (/ 0.3333333333333333 N) (/ 0.3333333333333333 (sqrt (pow N 3))) 0.3333333333333333 (/ 0.3333333333333333 (pow N 3/2)) (/ (pow N 3) (cbrt 0.3333333333333333)) (/ (pow N 3) (sqrt 0.3333333333333333)) (/ (pow N 3) 0.3333333333333333) (expm1 (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N))) (log1p (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N))) (/ (- 1.0 (/ 0.5 N)) N) (log (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N))) (exp (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N))) (* (cbrt (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N))) (cbrt (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N)))) (cbrt (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N))) (pow (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N)) 3) (sqrt (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N))) (sqrt (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N))) (- (pow (cbrt 1.0) 3) (/ 0.5 N)) 0 (- (pow (cbrt 1.0) 3) (/ 0.5 N)) 0 (- (pow (cbrt 1.0) 3) (/ 0.5 N)) 0 (- (pow (cbrt 1.0) 3) (/ (/ 0.5 (sqrt N)) (sqrt N))) (* (/ 0.5 (sqrt N)) (+ (/ -1 (sqrt N)) (/ 1 (sqrt N)))) (- (pow (cbrt 1.0) 3) (/ 0.5 N)) 0 (- (pow (cbrt 1.0) 3) (/ 0.5 N)) 0 (- (pow (cbrt 1.0) 3) (/ (/ 0.5 (sqrt N)) (sqrt N))) (* (/ 0.5 (sqrt N)) (+ (/ -1 (sqrt N)) (/ 1 (sqrt N)))) (- (pow (cbrt 1.0) 3) (/ 0.5 N)) 0 (- (pow (cbrt 1.0) 3) (/ 0.5 N)) 0 (- (pow (cbrt 1.0) 3) (/ (/ 0.5 (sqrt N)) (sqrt N))) (* (/ 0.5 (sqrt N)) (+ (/ -1 (sqrt N)) (/ 1 (sqrt N)))) (- (pow (cbrt 1.0) 3) (/ 0.5 N)) 0 (- (pow (cbrt 1.0) 3) (/ 0.5 N)) 0 (- (pow (cbrt 1.0) 3) (/ 0.5 N)) 0 (- 1.0 (/ 0.5 N)) 0 (- 1.0 (/ 0.5 N)) 0 (- 1.0 (/ 0.5 N)) 0 (- 1.0 (/ (/ 0.5 (sqrt N)) (sqrt N))) (* (/ 0.5 (sqrt N)) (+ (/ -1 (sqrt N)) (/ 1 (sqrt N)))) (- 1.0 (/ 0.5 N)) 0 (- 1.0 (/ 0.5 N)) 0 (- 1.0 (/ (/ 0.5 (sqrt N)) (sqrt N))) (* (/ 0.5 (sqrt N)) (+ (/ -1 (sqrt N)) (/ 1 (sqrt N)))) (- 1.0 (/ 0.5 N)) 0 (- 1.0 (/ 0.5 N)) 0 (- 1.0 (/ (/ 0.5 (sqrt N)) (sqrt N))) (* (/ 0.5 (sqrt N)) (+ (/ -1 (sqrt N)) (/ 1 (sqrt N)))) (- 1.0 (/ 0.5 N)) 0 (- 1.0 (/ 0.5 N)) 0 (- 1.0 (/ 0.5 N)) 0 (- 1.0 (/ 0.5 N)) 0 (- 1.0 (/ 0.5 N)) 0 (- 1.0 (/ 0.5 N)) 0 (- 1.0 (/ (/ 0.5 (sqrt N)) (sqrt N))) (* (/ 0.5 (sqrt N)) (+ (/ -1 (sqrt N)) (/ 1 (sqrt N)))) (- 1.0 (/ 0.5 N)) 0 (- 1.0 (/ 0.5 N)) 0 (- 1.0 (/ (/ 0.5 (sqrt N)) (sqrt N))) (* (/ 0.5 (sqrt N)) (+ (/ -1 (sqrt N)) (/ 1 (sqrt N)))) (- 1.0 (/ 0.5 N)) 0 (- 1.0 (/ 0.5 N)) 0 (- 1.0 (/ (/ 0.5 (sqrt N)) (sqrt N))) (* (/ 0.5 (sqrt N)) (+ (/ -1 (sqrt N)) (/ 1 (sqrt N)))) (- 1.0 (/ 0.5 N)) 0 (- 1.0 (/ 0.5 N)) 0 (- 1.0 (/ 0.5 N)) 0 (expm1 (- 1.0 (/ 0.5 N))) (log1p (- 1.0 (/ 0.5 N))) (- (/ 0.5 N)) (- (/ 0.5 N)) (- (/ 0.5 N)) (exp (- 1.0 (/ 0.5 N))) (log (- 1.0 (/ 0.5 N))) (exp (- 1.0 (/ 0.5 N))) (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- 1.0 (/ 0.5 N)))) (cbrt (- 1.0 (/ 0.5 N))) (pow (- 1.0 (/ 0.5 N)) 3) (sqrt (- 1.0 (/ 0.5 N))) (sqrt (- 1.0 (/ 0.5 N))) (- (pow 1.0 3) (pow (/ 0.5 N) 3)) (fma 1.0 1.0 (* (/ 0.5 N) (+ 1.0 (/ 0.5 N)))) (- (/ 0.5 N)) (- (* 1.0 1.0) (pow (cbrt (/ 0.5 N)) 6)) (+ (/ 0.5 N) 1.0) (+ (sqrt 1.0) (sqrt (/ 0.5 N))) (- (sqrt 1.0) (sqrt (/ 0.5 N))) (+ (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) (- (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) (- 1.0 (/ 0.5 N)) (- (/ 0.5 N)) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N)) (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N)) (+ (/ 0.3333333333333333 (pow N 3)) (/ (- 1.0 (/ 0.5 N)) N)) (- 1.0 (/ 0.5 N)) (- 1.0 (/ 0.5 N)) (- 1.0 (/ 0.5 N)) 6.435 * * * [progress]: adding candidates to table 6.744 * * [progress]: iteration 3 / 4 6.744 * * * [progress]: picking best candidate 6.749 * * * * [pick]: Picked # 6.749 * * * [progress]: localizing error 6.777 * * * [progress]: generating rewritten candidates 6.777 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 6.809 * * * * [progress]: [ 2 / 4 ] rewriting at (2 3) 6.824 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 6.849 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 6.857 * * * [progress]: generating series expansions 6.857 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 6.858 * [backup-simplify]: Simplify (cbrt (pow (- 1.0 (/ 0.5 N)) 3)) into (- 1.0 (* 0.5 (/ 1 N))) 6.858 * [approximate]: Taking taylor expansion of (- 1.0 (* 0.5 (/ 1 N))) in (N) around 0 6.858 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 (/ 1 N))) in N 6.858 * [taylor]: Taking taylor expansion of 1.0 in N 6.858 * [backup-simplify]: Simplify 1.0 into 1.0 6.858 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 N)) in N 6.858 * [taylor]: Taking taylor expansion of 0.5 in N 6.858 * [backup-simplify]: Simplify 0.5 into 0.5 6.858 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.858 * [taylor]: Taking taylor expansion of N in N 6.858 * [backup-simplify]: Simplify 0 into 0 6.858 * [backup-simplify]: Simplify 1 into 1 6.859 * [backup-simplify]: Simplify (/ 1 1) into 1 6.859 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 (/ 1 N))) in N 6.859 * [taylor]: Taking taylor expansion of 1.0 in N 6.859 * [backup-simplify]: Simplify 1.0 into 1.0 6.859 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 N)) in N 6.859 * [taylor]: Taking taylor expansion of 0.5 in N 6.859 * [backup-simplify]: Simplify 0.5 into 0.5 6.859 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.859 * [taylor]: Taking taylor expansion of N in N 6.859 * [backup-simplify]: Simplify 0 into 0 6.859 * [backup-simplify]: Simplify 1 into 1 6.860 * [backup-simplify]: Simplify (/ 1 1) into 1 6.860 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 6.860 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 6.862 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 6.862 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 6.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.864 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 6.864 * [backup-simplify]: Simplify (- 0) into 0 6.865 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.865 * [backup-simplify]: Simplify 1.0 into 1.0 6.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.867 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 6.867 * [backup-simplify]: Simplify (- 0) into 0 6.868 * [backup-simplify]: Simplify (+ 0 0) into 0 6.868 * [backup-simplify]: Simplify 0 into 0 6.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.870 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.870 * [backup-simplify]: Simplify (- 0) into 0 6.870 * [backup-simplify]: Simplify (+ 0 0) into 0 6.870 * [backup-simplify]: Simplify 0 into 0 6.871 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.872 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.873 * [backup-simplify]: Simplify (- 0) into 0 6.873 * [backup-simplify]: Simplify (+ 0 0) into 0 6.873 * [backup-simplify]: Simplify 0 into 0 6.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.876 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.876 * [backup-simplify]: Simplify (- 0) into 0 6.877 * [backup-simplify]: Simplify (+ 0 0) into 0 6.877 * [backup-simplify]: Simplify 0 into 0 6.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.880 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.880 * [backup-simplify]: Simplify (- 0) into 0 6.880 * [backup-simplify]: Simplify (+ 0 0) into 0 6.880 * [backup-simplify]: Simplify 0 into 0 6.881 * [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 6.883 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 6.884 * [backup-simplify]: Simplify (- 0) into 0 6.884 * [backup-simplify]: Simplify (+ 0 0) into 0 6.884 * [backup-simplify]: Simplify 0 into 0 6.884 * [backup-simplify]: Simplify (+ 1.0 (* (- 0.5) (/ 1 N))) into (- 1.0 (* 0.5 (/ 1 N))) 6.885 * [backup-simplify]: Simplify (cbrt (pow (- 1.0 (/ 0.5 (/ 1 N))) 3)) into (- 1.0 (* 0.5 N)) 6.885 * [approximate]: Taking taylor expansion of (- 1.0 (* 0.5 N)) in (N) around 0 6.885 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 N)) in N 6.885 * [taylor]: Taking taylor expansion of 1.0 in N 6.885 * [backup-simplify]: Simplify 1.0 into 1.0 6.885 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 6.885 * [taylor]: Taking taylor expansion of 0.5 in N 6.885 * [backup-simplify]: Simplify 0.5 into 0.5 6.885 * [taylor]: Taking taylor expansion of N in N 6.885 * [backup-simplify]: Simplify 0 into 0 6.885 * [backup-simplify]: Simplify 1 into 1 6.885 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 N)) in N 6.885 * [taylor]: Taking taylor expansion of 1.0 in N 6.885 * [backup-simplify]: Simplify 1.0 into 1.0 6.885 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 6.885 * [taylor]: Taking taylor expansion of 0.5 in N 6.885 * [backup-simplify]: Simplify 0.5 into 0.5 6.885 * [taylor]: Taking taylor expansion of N in N 6.885 * [backup-simplify]: Simplify 0 into 0 6.885 * [backup-simplify]: Simplify 1 into 1 6.886 * [backup-simplify]: Simplify (* 0.5 0) into 0 6.886 * [backup-simplify]: Simplify (- 0) into 0 6.887 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.887 * [backup-simplify]: Simplify 1.0 into 1.0 6.888 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 6.889 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 6.889 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 6.890 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 6.891 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 6.891 * [backup-simplify]: Simplify (- 0) into 0 6.892 * [backup-simplify]: Simplify (+ 0 0) into 0 6.892 * [backup-simplify]: Simplify 0 into 0 6.893 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.893 * [backup-simplify]: Simplify (- 0) into 0 6.893 * [backup-simplify]: Simplify (+ 0 0) into 0 6.894 * [backup-simplify]: Simplify 0 into 0 6.895 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 6.895 * [backup-simplify]: Simplify (- 0) into 0 6.896 * [backup-simplify]: Simplify (+ 0 0) into 0 6.896 * [backup-simplify]: Simplify 0 into 0 6.897 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 6.897 * [backup-simplify]: Simplify (- 0) into 0 6.898 * [backup-simplify]: Simplify (+ 0 0) into 0 6.898 * [backup-simplify]: Simplify 0 into 0 6.899 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 6.900 * [backup-simplify]: Simplify (- 0) into 0 6.900 * [backup-simplify]: Simplify (+ 0 0) into 0 6.900 * [backup-simplify]: Simplify 0 into 0 6.902 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 6.902 * [backup-simplify]: Simplify (- 0) into 0 6.903 * [backup-simplify]: Simplify (+ 0 0) into 0 6.903 * [backup-simplify]: Simplify 0 into 0 6.903 * [backup-simplify]: Simplify (+ (* (- 0.5) (/ 1 N)) 1.0) into (- 1.0 (* 0.5 (/ 1 N))) 6.904 * [backup-simplify]: Simplify (cbrt (pow (- 1.0 (/ 0.5 (/ 1 (- N)))) 3)) into (+ (* 0.5 N) 1.0) 6.904 * [approximate]: Taking taylor expansion of (+ (* 0.5 N) 1.0) in (N) around 0 6.904 * [taylor]: Taking taylor expansion of (+ (* 0.5 N) 1.0) in N 6.904 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 6.904 * [taylor]: Taking taylor expansion of 0.5 in N 6.904 * [backup-simplify]: Simplify 0.5 into 0.5 6.904 * [taylor]: Taking taylor expansion of N in N 6.904 * [backup-simplify]: Simplify 0 into 0 6.904 * [backup-simplify]: Simplify 1 into 1 6.904 * [taylor]: Taking taylor expansion of 1.0 in N 6.904 * [backup-simplify]: Simplify 1.0 into 1.0 6.904 * [taylor]: Taking taylor expansion of (+ (* 0.5 N) 1.0) in N 6.904 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 6.904 * [taylor]: Taking taylor expansion of 0.5 in N 6.904 * [backup-simplify]: Simplify 0.5 into 0.5 6.904 * [taylor]: Taking taylor expansion of N in N 6.904 * [backup-simplify]: Simplify 0 into 0 6.904 * [backup-simplify]: Simplify 1 into 1 6.904 * [taylor]: Taking taylor expansion of 1.0 in N 6.904 * [backup-simplify]: Simplify 1.0 into 1.0 6.905 * [backup-simplify]: Simplify (* 0.5 0) into 0 6.905 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.905 * [backup-simplify]: Simplify 1.0 into 1.0 6.907 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 6.907 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 6.907 * [backup-simplify]: Simplify 0.5 into 0.5 6.908 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 6.909 * [backup-simplify]: Simplify (+ 0 0) into 0 6.909 * [backup-simplify]: Simplify 0 into 0 6.910 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.910 * [backup-simplify]: Simplify (+ 0 0) into 0 6.910 * [backup-simplify]: Simplify 0 into 0 6.912 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 6.912 * [backup-simplify]: Simplify (+ 0 0) into 0 6.912 * [backup-simplify]: Simplify 0 into 0 6.913 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 6.914 * [backup-simplify]: Simplify (+ 0 0) into 0 6.914 * [backup-simplify]: Simplify 0 into 0 6.916 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 6.916 * [backup-simplify]: Simplify (+ 0 0) into 0 6.916 * [backup-simplify]: Simplify 0 into 0 6.918 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 6.918 * [backup-simplify]: Simplify (+ 0 0) into 0 6.918 * [backup-simplify]: Simplify 0 into 0 6.918 * [backup-simplify]: Simplify (+ (* 0.5 (/ 1 (- N))) 1.0) into (- 1.0 (* 0.5 (/ 1 N))) 6.919 * * * * [progress]: [ 2 / 4 ] generating series at (2 3) 6.919 * [backup-simplify]: Simplify (/ 0.3333333333333333 (pow N 3)) into (/ 0.3333333333333333 (pow N 3)) 6.919 * [approximate]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in (N) around 0 6.919 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 6.919 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 6.919 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.919 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.919 * [taylor]: Taking taylor expansion of N in N 6.919 * [backup-simplify]: Simplify 0 into 0 6.919 * [backup-simplify]: Simplify 1 into 1 6.919 * [backup-simplify]: Simplify (* 1 1) into 1 6.920 * [backup-simplify]: Simplify (* 1 1) into 1 6.920 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 6.920 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 6.920 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 6.920 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.920 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.920 * [taylor]: Taking taylor expansion of N in N 6.920 * [backup-simplify]: Simplify 0 into 0 6.920 * [backup-simplify]: Simplify 1 into 1 6.921 * [backup-simplify]: Simplify (* 1 1) into 1 6.921 * [backup-simplify]: Simplify (* 1 1) into 1 6.922 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 6.922 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.922 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.923 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.924 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)))) into 0 6.924 * [backup-simplify]: Simplify 0 into 0 6.925 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.926 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.927 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.927 * [backup-simplify]: Simplify 0 into 0 6.928 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.929 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.930 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.930 * [backup-simplify]: Simplify 0 into 0 6.931 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.933 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.934 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.934 * [backup-simplify]: Simplify 0 into 0 6.935 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.936 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.936 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.936 * [backup-simplify]: Simplify 0 into 0 6.937 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.938 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.939 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.939 * [backup-simplify]: Simplify 0 into 0 6.939 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 3)) into (/ 0.3333333333333333 (pow N 3)) 6.939 * [backup-simplify]: Simplify (/ 0.3333333333333333 (pow (/ 1 N) 3)) into (* 0.3333333333333333 (pow N 3)) 6.939 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in (N) around 0 6.939 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 6.939 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 6.939 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.939 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.939 * [taylor]: Taking taylor expansion of N in N 6.939 * [backup-simplify]: Simplify 0 into 0 6.939 * [backup-simplify]: Simplify 1 into 1 6.939 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 6.939 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 6.939 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.939 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.939 * [taylor]: Taking taylor expansion of N in N 6.939 * [backup-simplify]: Simplify 0 into 0 6.939 * [backup-simplify]: Simplify 1 into 1 6.940 * [backup-simplify]: Simplify (* 1 1) into 1 6.940 * [backup-simplify]: Simplify (* 1 1) into 1 6.940 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 6.940 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.941 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.941 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.941 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 6.941 * [backup-simplify]: Simplify 0 into 0 6.942 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.942 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.943 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 6.943 * [backup-simplify]: Simplify 0 into 0 6.944 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.944 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.945 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.945 * [backup-simplify]: Simplify 0 into 0 6.945 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.946 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.947 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.947 * [backup-simplify]: Simplify 0 into 0 6.948 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.948 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.949 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.949 * [backup-simplify]: Simplify 0 into 0 6.950 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.956 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.957 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.957 * [backup-simplify]: Simplify 0 into 0 6.957 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 3)) into (/ 0.3333333333333333 (pow N 3)) 6.957 * [backup-simplify]: Simplify (/ 0.3333333333333333 (pow (/ 1 (- N)) 3)) into (* -0.3333333333333333 (pow N 3)) 6.957 * [approximate]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in (N) around 0 6.957 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 6.957 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 6.957 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 6.957 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.957 * [taylor]: Taking taylor expansion of N in N 6.957 * [backup-simplify]: Simplify 0 into 0 6.957 * [backup-simplify]: Simplify 1 into 1 6.957 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 6.958 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 6.958 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 6.958 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.958 * [taylor]: Taking taylor expansion of N in N 6.958 * [backup-simplify]: Simplify 0 into 0 6.958 * [backup-simplify]: Simplify 1 into 1 6.958 * [backup-simplify]: Simplify (* 1 1) into 1 6.958 * [backup-simplify]: Simplify (* 1 1) into 1 6.958 * [backup-simplify]: Simplify (* -0.3333333333333333 1) into -0.3333333333333333 6.958 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 6.959 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.959 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.960 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (* 0 1)) into 0 6.960 * [backup-simplify]: Simplify 0 into 0 6.960 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.961 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.961 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 6.961 * [backup-simplify]: Simplify 0 into 0 6.962 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.962 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.963 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.963 * [backup-simplify]: Simplify 0 into 0 6.964 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.964 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.965 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.965 * [backup-simplify]: Simplify 0 into 0 6.966 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.967 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.968 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.968 * [backup-simplify]: Simplify 0 into 0 6.970 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.971 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.973 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.973 * [backup-simplify]: Simplify 0 into 0 6.973 * [backup-simplify]: Simplify (* -0.3333333333333333 (pow (/ 1 (- N)) 3)) into (/ 0.3333333333333333 (pow N 3)) 6.973 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 6.974 * [backup-simplify]: Simplify (pow (- 1.0 (/ 0.5 N)) 3) into (pow (- 1.0 (* 0.5 (/ 1 N))) 3) 6.974 * [approximate]: Taking taylor expansion of (pow (- 1.0 (* 0.5 (/ 1 N))) 3) in (N) around 0 6.974 * [taylor]: Taking taylor expansion of (pow (- 1.0 (* 0.5 (/ 1 N))) 3) in N 6.974 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 (/ 1 N))) in N 6.974 * [taylor]: Taking taylor expansion of 1.0 in N 6.974 * [backup-simplify]: Simplify 1.0 into 1.0 6.974 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 N)) in N 6.974 * [taylor]: Taking taylor expansion of 0.5 in N 6.974 * [backup-simplify]: Simplify 0.5 into 0.5 6.974 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.974 * [taylor]: Taking taylor expansion of N in N 6.974 * [backup-simplify]: Simplify 0 into 0 6.974 * [backup-simplify]: Simplify 1 into 1 6.974 * [backup-simplify]: Simplify (/ 1 1) into 1 6.975 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 6.975 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 6.976 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 6.976 * [taylor]: Taking taylor expansion of (pow (- 1.0 (* 0.5 (/ 1 N))) 3) in N 6.976 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 (/ 1 N))) in N 6.976 * [taylor]: Taking taylor expansion of 1.0 in N 6.976 * [backup-simplify]: Simplify 1.0 into 1.0 6.976 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 N)) in N 6.976 * [taylor]: Taking taylor expansion of 0.5 in N 6.976 * [backup-simplify]: Simplify 0.5 into 0.5 6.976 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.976 * [taylor]: Taking taylor expansion of N in N 6.976 * [backup-simplify]: Simplify 0 into 0 6.976 * [backup-simplify]: Simplify 1 into 1 6.977 * [backup-simplify]: Simplify (/ 1 1) into 1 6.977 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 6.977 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 6.978 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 6.980 * [backup-simplify]: Simplify (* (- 0.5) (- 0.5)) into 0.25 6.980 * [backup-simplify]: Simplify (* (- 0.5) 0.25) into -0.125 6.980 * [backup-simplify]: Simplify -0.125 into -0.125 6.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.982 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 6.982 * [backup-simplify]: Simplify (- 0) into 0 6.983 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.985 * [backup-simplify]: Simplify (+ (* (- 0.5) 1.0) (* 1.0 (- 0.5))) into (- 1.0) 6.988 * [backup-simplify]: Simplify (+ (* (- 0.5) (- 1.0)) (* 1.0 0.25)) into 0.75 6.988 * [backup-simplify]: Simplify 0.75 into 0.75 6.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.990 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 6.991 * [backup-simplify]: Simplify (- 0) into 0 6.991 * [backup-simplify]: Simplify (+ 0 0) into 0 6.994 * [backup-simplify]: Simplify (+ (* (- 0.5) 0) (+ (* 1.0 1.0) (* 0 (- 0.5)))) into 1.0 6.997 * [backup-simplify]: Simplify (+ (* (- 0.5) 1.0) (+ (* 1.0 (- 1.0)) (* 0 0.25))) into (- 1.5) 6.997 * [backup-simplify]: Simplify (- 1.5) into (- 1.5) 6.997 * [backup-simplify]: Simplify (+ (* (- 1.5) (/ 1 N)) (+ (* 0.75 (pow (/ 1 N) 2)) (* -0.125 (pow (/ 1 N) 3)))) into (- (* 0.75 (/ 1 (pow N 2))) (+ (* 1.5 (/ 1 N)) (* 0.125 (/ 1 (pow N 3))))) 6.998 * [backup-simplify]: Simplify (pow (- 1.0 (/ 0.5 (/ 1 N))) 3) into (pow (- 1.0 (* 0.5 N)) 3) 6.998 * [approximate]: Taking taylor expansion of (pow (- 1.0 (* 0.5 N)) 3) in (N) around 0 6.998 * [taylor]: Taking taylor expansion of (pow (- 1.0 (* 0.5 N)) 3) in N 6.998 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 N)) in N 6.998 * [taylor]: Taking taylor expansion of 1.0 in N 6.998 * [backup-simplify]: Simplify 1.0 into 1.0 6.998 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 6.998 * [taylor]: Taking taylor expansion of 0.5 in N 6.998 * [backup-simplify]: Simplify 0.5 into 0.5 6.998 * [taylor]: Taking taylor expansion of N in N 6.998 * [backup-simplify]: Simplify 0 into 0 6.998 * [backup-simplify]: Simplify 1 into 1 6.998 * [backup-simplify]: Simplify (* 0.5 0) into 0 6.998 * [backup-simplify]: Simplify (- 0) into 0 6.999 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.999 * [taylor]: Taking taylor expansion of (pow (- 1.0 (* 0.5 N)) 3) in N 6.999 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 N)) in N 6.999 * [taylor]: Taking taylor expansion of 1.0 in N 6.999 * [backup-simplify]: Simplify 1.0 into 1.0 6.999 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 6.999 * [taylor]: Taking taylor expansion of 0.5 in N 6.999 * [backup-simplify]: Simplify 0.5 into 0.5 6.999 * [taylor]: Taking taylor expansion of N in N 6.999 * [backup-simplify]: Simplify 0 into 0 6.999 * [backup-simplify]: Simplify 1 into 1 6.999 * [backup-simplify]: Simplify (* 0.5 0) into 0 6.999 * [backup-simplify]: Simplify (- 0) into 0 7.000 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.000 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 7.000 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 7.000 * [backup-simplify]: Simplify 1.0 into 1.0 7.001 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 7.001 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 7.002 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 7.003 * [backup-simplify]: Simplify (+ (* 1.0 (- 0.5)) (* (- 0.5) 1.0)) into (- 1.0) 7.005 * [backup-simplify]: Simplify (+ (* 1.0 (- 1.0)) (* (- 0.5) 1.0)) into (- 1.5) 7.005 * [backup-simplify]: Simplify (- 1.5) into (- 1.5) 7.006 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 7.006 * [backup-simplify]: Simplify (- 0) into 0 7.006 * [backup-simplify]: Simplify (+ 0 0) into 0 7.008 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* (- 0.5) (- 0.5)) (* 0 1.0))) into 0.25 7.011 * [backup-simplify]: Simplify (+ (* 1.0 0.25) (+ (* (- 0.5) (- 1.0)) (* 0 1.0))) into 0.75 7.011 * [backup-simplify]: Simplify 0.75 into 0.75 7.011 * [backup-simplify]: Simplify (+ (* 0.75 (pow (/ 1 N) 2)) (+ (* (- 1.5) (/ 1 N)) 1.0)) into (- (+ (* 0.75 (/ 1 (pow N 2))) 1.0) (* 1.5 (/ 1 N))) 7.012 * [backup-simplify]: Simplify (pow (- 1.0 (/ 0.5 (/ 1 (- N)))) 3) into (pow (+ (* 0.5 N) 1.0) 3) 7.012 * [approximate]: Taking taylor expansion of (pow (+ (* 0.5 N) 1.0) 3) in (N) around 0 7.012 * [taylor]: Taking taylor expansion of (pow (+ (* 0.5 N) 1.0) 3) in N 7.012 * [taylor]: Taking taylor expansion of (+ (* 0.5 N) 1.0) in N 7.012 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 7.012 * [taylor]: Taking taylor expansion of 0.5 in N 7.012 * [backup-simplify]: Simplify 0.5 into 0.5 7.012 * [taylor]: Taking taylor expansion of N in N 7.012 * [backup-simplify]: Simplify 0 into 0 7.012 * [backup-simplify]: Simplify 1 into 1 7.012 * [taylor]: Taking taylor expansion of 1.0 in N 7.012 * [backup-simplify]: Simplify 1.0 into 1.0 7.012 * [backup-simplify]: Simplify (* 0.5 0) into 0 7.012 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.012 * [taylor]: Taking taylor expansion of (pow (+ (* 0.5 N) 1.0) 3) in N 7.012 * [taylor]: Taking taylor expansion of (+ (* 0.5 N) 1.0) in N 7.012 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 7.012 * [taylor]: Taking taylor expansion of 0.5 in N 7.012 * [backup-simplify]: Simplify 0.5 into 0.5 7.012 * [taylor]: Taking taylor expansion of N in N 7.012 * [backup-simplify]: Simplify 0 into 0 7.012 * [backup-simplify]: Simplify 1 into 1 7.012 * [taylor]: Taking taylor expansion of 1.0 in N 7.012 * [backup-simplify]: Simplify 1.0 into 1.0 7.013 * [backup-simplify]: Simplify (* 0.5 0) into 0 7.013 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.013 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 7.014 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 7.014 * [backup-simplify]: Simplify 1.0 into 1.0 7.014 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 7.015 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 7.016 * [backup-simplify]: Simplify (+ (* 1.0 0.5) (* 0.5 1.0)) into 1.0 7.016 * [backup-simplify]: Simplify (+ (* 1.0 1.0) (* 0.5 1.0)) into 1.5 7.016 * [backup-simplify]: Simplify 1.5 into 1.5 7.017 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 7.017 * [backup-simplify]: Simplify (+ 0 0) into 0 7.019 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0.5 0.5) (* 0 1.0))) into 0.25 7.020 * [backup-simplify]: Simplify (+ (* 1.0 0.25) (+ (* 0.5 1.0) (* 0 1.0))) into 0.75 7.020 * [backup-simplify]: Simplify 0.75 into 0.75 7.021 * [backup-simplify]: Simplify (+ (* 0.75 (pow (/ 1 (- N)) 2)) (+ (* 1.5 (/ 1 (- N))) 1.0)) into (- (+ (* 0.75 (/ 1 (pow N 2))) 1.0) (* 1.5 (/ 1 N))) 7.021 * * * * [progress]: [ 4 / 4 ] generating series at (2) 7.021 * [backup-simplify]: Simplify (fma (/ 1 N) (cbrt (pow (- 1.0 (/ 0.5 N)) 3)) (/ 0.3333333333333333 (pow N 3))) into (fma (/ 1 N) (- 1.0 (* 0.5 (/ 1 N))) (/ 0.3333333333333333 (pow N 3))) 7.021 * [approximate]: Taking taylor expansion of (fma (/ 1 N) (- 1.0 (* 0.5 (/ 1 N))) (/ 0.3333333333333333 (pow N 3))) in (N) around 0 7.021 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (- 1.0 (* 0.5 (/ 1 N))) (/ 0.3333333333333333 (pow N 3))) in N 7.021 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (- 1.0 (* 0.5 (/ 1 N)))) (/ 0.3333333333333333 (pow N 3))) 7.021 * [taylor]: Taking taylor expansion of (* (/ 1 N) (- 1.0 (* 0.5 (/ 1 N)))) in N 7.021 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.021 * [taylor]: Taking taylor expansion of N in N 7.021 * [backup-simplify]: Simplify 0 into 0 7.021 * [backup-simplify]: Simplify 1 into 1 7.022 * [backup-simplify]: Simplify (/ 1 1) into 1 7.022 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 (/ 1 N))) in N 7.022 * [taylor]: Taking taylor expansion of 1.0 in N 7.022 * [backup-simplify]: Simplify 1.0 into 1.0 7.022 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 N)) in N 7.022 * [taylor]: Taking taylor expansion of 0.5 in N 7.022 * [backup-simplify]: Simplify 0.5 into 0.5 7.022 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.022 * [taylor]: Taking taylor expansion of N in N 7.022 * [backup-simplify]: Simplify 0 into 0 7.022 * [backup-simplify]: Simplify 1 into 1 7.022 * [backup-simplify]: Simplify (/ 1 1) into 1 7.022 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 7.022 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 7.022 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.022 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.022 * [taylor]: Taking taylor expansion of N in N 7.022 * [backup-simplify]: Simplify 0 into 0 7.022 * [backup-simplify]: Simplify 1 into 1 7.022 * [backup-simplify]: Simplify (* 1 1) into 1 7.023 * [backup-simplify]: Simplify (* 1 1) into 1 7.023 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 7.023 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (- 1.0 (* 0.5 (/ 1 N))) (/ 0.3333333333333333 (pow N 3))) in N 7.023 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (- 1.0 (* 0.5 (/ 1 N)))) (/ 0.3333333333333333 (pow N 3))) 7.023 * [taylor]: Taking taylor expansion of (* (/ 1 N) (- 1.0 (* 0.5 (/ 1 N)))) in N 7.023 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.023 * [taylor]: Taking taylor expansion of N in N 7.023 * [backup-simplify]: Simplify 0 into 0 7.023 * [backup-simplify]: Simplify 1 into 1 7.023 * [backup-simplify]: Simplify (/ 1 1) into 1 7.023 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 (/ 1 N))) in N 7.023 * [taylor]: Taking taylor expansion of 1.0 in N 7.023 * [backup-simplify]: Simplify 1.0 into 1.0 7.023 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 N)) in N 7.023 * [taylor]: Taking taylor expansion of 0.5 in N 7.023 * [backup-simplify]: Simplify 0.5 into 0.5 7.023 * [taylor]: Taking taylor expansion of (/ 1 N) in N 7.023 * [taylor]: Taking taylor expansion of N in N 7.024 * [backup-simplify]: Simplify 0 into 0 7.024 * [backup-simplify]: Simplify 1 into 1 7.024 * [backup-simplify]: Simplify (/ 1 1) into 1 7.024 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 7.024 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 7.024 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.024 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.024 * [taylor]: Taking taylor expansion of N in N 7.024 * [backup-simplify]: Simplify 0 into 0 7.024 * [backup-simplify]: Simplify 1 into 1 7.024 * [backup-simplify]: Simplify (* 1 1) into 1 7.024 * [backup-simplify]: Simplify (* 1 1) into 1 7.025 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 7.025 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 7.025 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.025 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 7.026 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 7.026 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 7.027 * [backup-simplify]: Simplify (* 1 (- 0.5)) into -0.5 7.027 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.028 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.028 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)))) into 0 7.028 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 7.029 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 7.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.029 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 7.030 * [backup-simplify]: Simplify (- 0) into 0 7.030 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.031 * [backup-simplify]: Simplify (+ (* 1 1.0) (* 0 (- 0.5))) into 1.0 7.032 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.032 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.033 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.033 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.033 * [backup-simplify]: Simplify 1.0 into 1.0 7.034 * [backup-simplify]: Simplify (+ (* 1.0 (/ 1 N)) (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 0.3333333333333333 (pow (/ 1 N) 3)))) into (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) 7.034 * [backup-simplify]: Simplify (fma (/ 1 (/ 1 N)) (cbrt (pow (- 1.0 (/ 0.5 (/ 1 N))) 3)) (/ 0.3333333333333333 (pow (/ 1 N) 3))) into (fma N (- 1.0 (* 0.5 N)) (* 0.3333333333333333 (pow N 3))) 7.034 * [approximate]: Taking taylor expansion of (fma N (- 1.0 (* 0.5 N)) (* 0.3333333333333333 (pow N 3))) in (N) around 0 7.034 * [taylor]: Taking taylor expansion of (fma N (- 1.0 (* 0.5 N)) (* 0.3333333333333333 (pow N 3))) in N 7.034 * [taylor]: Rewrote expression to (+ (* N (- 1.0 (* 0.5 N))) (* 0.3333333333333333 (pow N 3))) 7.034 * [taylor]: Taking taylor expansion of (* N (- 1.0 (* 0.5 N))) in N 7.034 * [taylor]: Taking taylor expansion of N in N 7.034 * [backup-simplify]: Simplify 0 into 0 7.034 * [backup-simplify]: Simplify 1 into 1 7.035 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 N)) in N 7.035 * [taylor]: Taking taylor expansion of 1.0 in N 7.035 * [backup-simplify]: Simplify 1.0 into 1.0 7.035 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 7.035 * [taylor]: Taking taylor expansion of 0.5 in N 7.035 * [backup-simplify]: Simplify 0.5 into 0.5 7.035 * [taylor]: Taking taylor expansion of N in N 7.035 * [backup-simplify]: Simplify 0 into 0 7.035 * [backup-simplify]: Simplify 1 into 1 7.035 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 7.035 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 7.035 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.035 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.035 * [taylor]: Taking taylor expansion of N in N 7.035 * [backup-simplify]: Simplify 0 into 0 7.035 * [backup-simplify]: Simplify 1 into 1 7.035 * [taylor]: Taking taylor expansion of (fma N (- 1.0 (* 0.5 N)) (* 0.3333333333333333 (pow N 3))) in N 7.035 * [taylor]: Rewrote expression to (+ (* N (- 1.0 (* 0.5 N))) (* 0.3333333333333333 (pow N 3))) 7.035 * [taylor]: Taking taylor expansion of (* N (- 1.0 (* 0.5 N))) in N 7.035 * [taylor]: Taking taylor expansion of N in N 7.035 * [backup-simplify]: Simplify 0 into 0 7.035 * [backup-simplify]: Simplify 1 into 1 7.035 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 N)) in N 7.035 * [taylor]: Taking taylor expansion of 1.0 in N 7.035 * [backup-simplify]: Simplify 1.0 into 1.0 7.035 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 7.035 * [taylor]: Taking taylor expansion of 0.5 in N 7.035 * [backup-simplify]: Simplify 0.5 into 0.5 7.035 * [taylor]: Taking taylor expansion of N in N 7.035 * [backup-simplify]: Simplify 0 into 0 7.035 * [backup-simplify]: Simplify 1 into 1 7.035 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 7.035 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 7.035 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.036 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.036 * [taylor]: Taking taylor expansion of N in N 7.036 * [backup-simplify]: Simplify 0 into 0 7.036 * [backup-simplify]: Simplify 1 into 1 7.036 * [backup-simplify]: Simplify (* 0.5 0) into 0 7.036 * [backup-simplify]: Simplify (- 0) into 0 7.037 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.037 * [backup-simplify]: Simplify (* 0 1.0) into 0 7.038 * [backup-simplify]: Simplify (+ 0 0) into 0 7.038 * [backup-simplify]: Simplify 0 into 0 7.039 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 7.039 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 7.040 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 7.042 * [backup-simplify]: Simplify (+ (* 0 (- 0.5)) (* 1 1.0)) into 1.0 7.042 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.042 * [backup-simplify]: Simplify 1.0 into 1.0 7.043 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 7.044 * [backup-simplify]: Simplify (- 0) into 0 7.044 * [backup-simplify]: Simplify (+ 0 0) into 0 7.048 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (- 0.5)) (* 0 1.0))) into (- 0.5) 7.049 * [backup-simplify]: Simplify (+ (- 0.5) 0) into (- 0.5) 7.049 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 7.050 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 7.051 * [backup-simplify]: Simplify (- 0) into 0 7.051 * [backup-simplify]: Simplify (+ 0 0) into 0 7.052 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (- 0.5)) (* 0 1.0)))) into 0 7.053 * [backup-simplify]: Simplify (* 1 1) into 1 7.053 * [backup-simplify]: Simplify (* 1 1) into 1 7.054 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 7.054 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 7.054 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 7.055 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 1.0 (/ 1 N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 7.055 * [backup-simplify]: Simplify (fma (/ 1 (/ 1 (- N))) (cbrt (pow (- 1.0 (/ 0.5 (/ 1 (- N)))) 3)) (/ 0.3333333333333333 (pow (/ 1 (- N)) 3))) into (fma (* -1 N) (+ (* 0.5 N) 1.0) (* -0.3333333333333333 (pow N 3))) 7.055 * [approximate]: Taking taylor expansion of (fma (* -1 N) (+ (* 0.5 N) 1.0) (* -0.3333333333333333 (pow N 3))) in (N) around 0 7.056 * [taylor]: Taking taylor expansion of (fma (* -1 N) (+ (* 0.5 N) 1.0) (* -0.3333333333333333 (pow N 3))) in N 7.056 * [taylor]: Rewrote expression to (+ (* (* -1 N) (+ (* 0.5 N) 1.0)) (* -0.3333333333333333 (pow N 3))) 7.056 * [taylor]: Taking taylor expansion of (* (* -1 N) (+ (* 0.5 N) 1.0)) in N 7.056 * [taylor]: Taking taylor expansion of (* -1 N) in N 7.056 * [taylor]: Taking taylor expansion of -1 in N 7.056 * [backup-simplify]: Simplify -1 into -1 7.056 * [taylor]: Taking taylor expansion of N in N 7.056 * [backup-simplify]: Simplify 0 into 0 7.056 * [backup-simplify]: Simplify 1 into 1 7.056 * [taylor]: Taking taylor expansion of (+ (* 0.5 N) 1.0) in N 7.056 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 7.056 * [taylor]: Taking taylor expansion of 0.5 in N 7.056 * [backup-simplify]: Simplify 0.5 into 0.5 7.056 * [taylor]: Taking taylor expansion of N in N 7.056 * [backup-simplify]: Simplify 0 into 0 7.056 * [backup-simplify]: Simplify 1 into 1 7.056 * [taylor]: Taking taylor expansion of 1.0 in N 7.056 * [backup-simplify]: Simplify 1.0 into 1.0 7.056 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 7.056 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 7.056 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 7.056 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.056 * [taylor]: Taking taylor expansion of N in N 7.056 * [backup-simplify]: Simplify 0 into 0 7.056 * [backup-simplify]: Simplify 1 into 1 7.056 * [taylor]: Taking taylor expansion of (fma (* -1 N) (+ (* 0.5 N) 1.0) (* -0.3333333333333333 (pow N 3))) in N 7.056 * [taylor]: Rewrote expression to (+ (* (* -1 N) (+ (* 0.5 N) 1.0)) (* -0.3333333333333333 (pow N 3))) 7.056 * [taylor]: Taking taylor expansion of (* (* -1 N) (+ (* 0.5 N) 1.0)) in N 7.057 * [taylor]: Taking taylor expansion of (* -1 N) in N 7.057 * [taylor]: Taking taylor expansion of -1 in N 7.057 * [backup-simplify]: Simplify -1 into -1 7.057 * [taylor]: Taking taylor expansion of N in N 7.057 * [backup-simplify]: Simplify 0 into 0 7.057 * [backup-simplify]: Simplify 1 into 1 7.057 * [taylor]: Taking taylor expansion of (+ (* 0.5 N) 1.0) in N 7.057 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 7.057 * [taylor]: Taking taylor expansion of 0.5 in N 7.057 * [backup-simplify]: Simplify 0.5 into 0.5 7.057 * [taylor]: Taking taylor expansion of N in N 7.057 * [backup-simplify]: Simplify 0 into 0 7.057 * [backup-simplify]: Simplify 1 into 1 7.057 * [taylor]: Taking taylor expansion of 1.0 in N 7.057 * [backup-simplify]: Simplify 1.0 into 1.0 7.057 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 7.057 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 7.057 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 7.057 * [taylor]: Taking taylor expansion of (pow N 3) in N 7.057 * [taylor]: Taking taylor expansion of N in N 7.057 * [backup-simplify]: Simplify 0 into 0 7.057 * [backup-simplify]: Simplify 1 into 1 7.058 * [backup-simplify]: Simplify (* -1 0) into 0 7.058 * [backup-simplify]: Simplify (* 0.5 0) into 0 7.058 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 7.059 * [backup-simplify]: Simplify (* 0 1.0) into 0 7.059 * [backup-simplify]: Simplify (+ 0 0) into 0 7.059 * [backup-simplify]: Simplify 0 into 0 7.061 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 7.061 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 7.062 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 7.063 * [backup-simplify]: Simplify (+ (* 0 0.5) (* -1 1.0)) into (- 1.0) 7.070 * [backup-simplify]: Simplify (+ (- 1.0) 0) into (- 1.0) 7.071 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 7.072 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 7.072 * [backup-simplify]: Simplify (+ 0 0) into 0 7.073 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 7.076 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* -1 0.5) (* 0 1.0))) into (- 0.5) 7.077 * [backup-simplify]: Simplify (+ (- 0.5) 0) into (- 0.5) 7.078 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 7.079 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 7.079 * [backup-simplify]: Simplify (+ 0 0) into 0 7.080 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 7.082 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* -1 0) (+ (* 0 0.5) (* 0 1.0)))) into 0 7.082 * [backup-simplify]: Simplify (* 1 1) into 1 7.082 * [backup-simplify]: Simplify (* 1 1) into 1 7.083 * [backup-simplify]: Simplify (* -0.3333333333333333 1) into -0.3333333333333333 7.083 * [backup-simplify]: Simplify (+ 0 -0.3333333333333333) into (- 0.3333333333333333) 7.084 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 7.085 * [backup-simplify]: Simplify (+ (* (- 0.3333333333333333) (pow (/ 1 (- N)) 3)) (+ (* (- 0.5) (pow (/ 1 (- N)) 2)) (* (- 1.0) (/ 1 (- N))))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 7.085 * * * [progress]: simplifying candidates 7.090 * [simplify]: Simplifying: (expm1 (cbrt (pow (- 1.0 (/ 0.5 N)) 3))) (log1p (cbrt (pow (- 1.0 (/ 0.5 N)) 3))) (log (cbrt (pow (- 1.0 (/ 0.5 N)) 3))) (exp (cbrt (pow (- 1.0 (/ 0.5 N)) 3))) (cbrt (pow (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- 1.0 (/ 0.5 N)))) 3)) (cbrt (pow (cbrt (- 1.0 (/ 0.5 N))) 3)) (cbrt (pow (sqrt (- 1.0 (/ 0.5 N))) 3)) (cbrt (pow (sqrt (- 1.0 (/ 0.5 N))) 3)) (cbrt (pow 1 3)) (cbrt (pow (- 1.0 (/ 0.5 N)) 3)) (cbrt (pow (+ (sqrt 1.0) (sqrt (/ 0.5 N))) 3)) (cbrt (pow (- (sqrt 1.0) (sqrt (/ 0.5 N))) 3)) (cbrt (pow (+ (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) 3)) (cbrt (pow (- (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) 3)) (cbrt (pow 1 3)) (cbrt (pow (- 1.0 (/ 0.5 N)) 3)) (cbrt (* (- 1.0 (/ 0.5 N)) (- 1.0 (/ 0.5 N)))) (cbrt (- 1.0 (/ 0.5 N))) (cbrt (* (cbrt (pow (- 1.0 (/ 0.5 N)) 3)) (cbrt (pow (- 1.0 (/ 0.5 N)) 3)))) (cbrt (cbrt (pow (- 1.0 (/ 0.5 N)) 3))) (cbrt (pow (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- 1.0 (/ 0.5 N)))) 3)) (cbrt (pow (cbrt (- 1.0 (/ 0.5 N))) 3)) (cbrt (pow (sqrt (- 1.0 (/ 0.5 N))) 3)) (cbrt (pow (sqrt (- 1.0 (/ 0.5 N))) 3)) (cbrt (pow 1 3)) (cbrt (pow (- 1.0 (/ 0.5 N)) 3)) (cbrt (pow (+ (sqrt 1.0) (sqrt (/ 0.5 N))) 3)) (cbrt (pow (- (sqrt 1.0) (sqrt (/ 0.5 N))) 3)) (cbrt (pow (+ (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) 3)) (cbrt (pow (- (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) 3)) (cbrt (pow 1 3)) (cbrt (pow (- 1.0 (/ 0.5 N)) 3)) (cbrt (- 1.0 (/ 0.5 N))) (cbrt (* (- 1.0 (/ 0.5 N)) (- 1.0 (/ 0.5 N)))) (cbrt (sqrt (pow (- 1.0 (/ 0.5 N)) 3))) (cbrt (sqrt (pow (- 1.0 (/ 0.5 N)) 3))) (cbrt 1) (cbrt (pow (- 1.0 (/ 0.5 N)) 3)) (cbrt (pow (- 1.0 (/ 0.5 N)) (/ 3 2))) (cbrt (pow (- 1.0 (/ 0.5 N)) (/ 3 2))) (cbrt (pow (- (pow 1.0 3) (pow (/ 0.5 N) 3)) 3)) (cbrt (pow (+ (* 1.0 1.0) (+ (* (/ 0.5 N) (/ 0.5 N)) (* 1.0 (/ 0.5 N)))) 3)) (cbrt (pow (- (* 1.0 1.0) (* (/ 0.5 N) (/ 0.5 N))) 3)) (cbrt (pow (+ 1.0 (/ 0.5 N)) 3)) (* (cbrt (cbrt (pow (- 1.0 (/ 0.5 N)) 3))) (cbrt (cbrt (pow (- 1.0 (/ 0.5 N)) 3)))) (cbrt (cbrt (pow (- 1.0 (/ 0.5 N)) 3))) (* (* (cbrt (pow (- 1.0 (/ 0.5 N)) 3)) (cbrt (pow (- 1.0 (/ 0.5 N)) 3))) (cbrt (pow (- 1.0 (/ 0.5 N)) 3))) (sqrt (cbrt (pow (- 1.0 (/ 0.5 N)) 3))) (sqrt (cbrt (pow (- 1.0 (/ 0.5 N)) 3))) (expm1 (/ 0.3333333333333333 (pow N 3))) (log1p (/ 0.3333333333333333 (pow N 3))) (- (log 0.3333333333333333) (* (log N) 3)) (- (log 0.3333333333333333) (* (log N) 3)) (- (log 0.3333333333333333) (log (pow N 3))) (log (/ 0.3333333333333333 (pow N 3))) (exp (/ 0.3333333333333333 (pow N 3))) (/ (* (* 0.3333333333333333 0.3333333333333333) 0.3333333333333333) (* (* (pow N 3) (pow N 3)) (pow N 3))) (* (cbrt (/ 0.3333333333333333 (pow N 3))) (cbrt (/ 0.3333333333333333 (pow N 3)))) (cbrt (/ 0.3333333333333333 (pow N 3))) (* (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))) (/ 0.3333333333333333 (pow N 3))) (sqrt (/ 0.3333333333333333 (pow N 3))) (sqrt (/ 0.3333333333333333 (pow N 3))) (- 0.3333333333333333) (- (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (* (cbrt N) (cbrt N)) 3)) (/ (cbrt 0.3333333333333333) (pow (cbrt N) 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (sqrt N) 3)) (/ (cbrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow 1 3)) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* N N)) (/ (cbrt 0.3333333333333333) N) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* (cbrt (pow N 3)) (cbrt (pow N 3)))) (/ (cbrt 0.3333333333333333) (cbrt (pow N 3))) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (* (cbrt N) (cbrt N)) 3)) (/ (cbrt 0.3333333333333333) (pow (cbrt N) 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (sqrt N) 3)) (/ (cbrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow 1 3)) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) N) (/ (cbrt 0.3333333333333333) (* N N)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (sqrt (pow N 3))) (/ (cbrt 0.3333333333333333) (sqrt (pow N 3))) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) 1) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow N (/ 3 2))) (/ (cbrt 0.3333333333333333) (pow N (/ 3 2))) (/ (sqrt 0.3333333333333333) (pow (* (cbrt N) (cbrt N)) 3)) (/ (sqrt 0.3333333333333333) (pow (cbrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow 1 3)) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (* (cbrt (pow N 3)) (cbrt (pow N 3)))) (/ (sqrt 0.3333333333333333) (cbrt (pow N 3))) (/ (sqrt 0.3333333333333333) (pow (* (cbrt N) (cbrt N)) 3)) (/ (sqrt 0.3333333333333333) (pow (cbrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow 1 3)) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (/ (sqrt 0.3333333333333333) 1) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) (pow N (/ 3 2))) (/ (sqrt 0.3333333333333333) (pow N (/ 3 2))) (/ 1 (pow (* (cbrt N) (cbrt N)) 3)) (/ 0.3333333333333333 (pow (cbrt N) 3)) (/ 1 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) (/ 1 (pow 1 3)) (/ 0.3333333333333333 (pow N 3)) (/ 1 (* N N)) (/ 0.3333333333333333 N) (/ 1 (* (cbrt (pow N 3)) (cbrt (pow N 3)))) (/ 0.3333333333333333 (cbrt (pow N 3))) (/ 1 (pow (* (cbrt N) (cbrt N)) 3)) (/ 0.3333333333333333 (pow (cbrt N) 3)) (/ 1 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) (/ 1 (pow 1 3)) (/ 0.3333333333333333 (pow N 3)) (/ 1 N) (/ 0.3333333333333333 (* N N)) (/ 1 (sqrt (pow N 3))) (/ 0.3333333333333333 (sqrt (pow N 3))) (/ 1 1) (/ 0.3333333333333333 (pow N 3)) (/ 1 (pow N (/ 3 2))) (/ 0.3333333333333333 (pow N (/ 3 2))) (/ 1 (pow N 3)) (/ (pow N 3) 0.3333333333333333) (/ 0.3333333333333333 (pow (* (cbrt N) (cbrt N)) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow 1 3)) (/ 0.3333333333333333 (* N N)) (/ 0.3333333333333333 (* (cbrt (pow N 3)) (cbrt (pow N 3)))) (/ 0.3333333333333333 (pow (* (cbrt N) (cbrt N)) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow 1 3)) (/ 0.3333333333333333 N) (/ 0.3333333333333333 (sqrt (pow N 3))) (/ 0.3333333333333333 1) (/ 0.3333333333333333 (pow N (/ 3 2))) (/ (pow N 3) (cbrt 0.3333333333333333)) (/ (pow N 3) (sqrt 0.3333333333333333)) (/ (pow N 3) 0.3333333333333333) (expm1 (pow (- 1.0 (/ 0.5 N)) 3)) (log1p (pow (- 1.0 (/ 0.5 N)) 3)) (* (log (- 1.0 (/ 0.5 N))) 3) (* (log (- 1.0 (/ 0.5 N))) 3) (* 1 3) (pow (- 1.0 (/ 0.5 N)) (* (cbrt 3) (cbrt 3))) (pow (- 1.0 (/ 0.5 N)) (sqrt 3)) (pow (- 1.0 (/ 0.5 N)) 1) (pow (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- 1.0 (/ 0.5 N)))) 3) (pow (cbrt (- 1.0 (/ 0.5 N))) 3) (pow (sqrt (- 1.0 (/ 0.5 N))) 3) (pow (sqrt (- 1.0 (/ 0.5 N))) 3) (pow 1 3) (pow (- 1.0 (/ 0.5 N)) 3) (pow (+ (sqrt 1.0) (sqrt (/ 0.5 N))) 3) (pow (- (sqrt 1.0) (sqrt (/ 0.5 N))) 3) (pow (+ (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) 3) (pow (- (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) 3) (pow 1 3) (pow (- 1.0 (/ 0.5 N)) 3) (* (- 1.0 (/ 0.5 N)) (- 1.0 (/ 0.5 N))) (log (pow (- 1.0 (/ 0.5 N)) 3)) (exp (pow (- 1.0 (/ 0.5 N)) 3)) (* (cbrt (pow (- 1.0 (/ 0.5 N)) 3)) (cbrt (pow (- 1.0 (/ 0.5 N)) 3))) (cbrt (pow (- 1.0 (/ 0.5 N)) 3)) (* (* (pow (- 1.0 (/ 0.5 N)) 3) (pow (- 1.0 (/ 0.5 N)) 3)) (pow (- 1.0 (/ 0.5 N)) 3)) (pow (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- 1.0 (/ 0.5 N)))) 3) (pow (cbrt (- 1.0 (/ 0.5 N))) 3) (pow (sqrt (- 1.0 (/ 0.5 N))) 3) (pow (sqrt (- 1.0 (/ 0.5 N))) 3) (pow 1 3) (pow (- 1.0 (/ 0.5 N)) 3) (pow (+ (sqrt 1.0) (sqrt (/ 0.5 N))) 3) (pow (- (sqrt 1.0) (sqrt (/ 0.5 N))) 3) (pow (+ (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) 3) (pow (- (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) 3) (pow 1 3) (pow (- 1.0 (/ 0.5 N)) 3) (pow (- (pow 1.0 3) (pow (/ 0.5 N) 3)) 3) (pow (+ (* 1.0 1.0) (+ (* (/ 0.5 N) (/ 0.5 N)) (* 1.0 (/ 0.5 N)))) 3) (pow (- (* 1.0 1.0) (* (/ 0.5 N) (/ 0.5 N))) 3) (pow (+ 1.0 (/ 0.5 N)) 3) (* (- 1.0 (/ 0.5 N)) (- 1.0 (/ 0.5 N))) (sqrt (pow (- 1.0 (/ 0.5 N)) 3)) (sqrt (pow (- 1.0 (/ 0.5 N)) 3)) (pow (- 1.0 (/ 0.5 N)) (/ 3 2)) (pow (- 1.0 (/ 0.5 N)) (/ 3 2)) (expm1 (fma (/ 1 N) (cbrt (pow (- 1.0 (/ 0.5 N)) 3)) (/ 0.3333333333333333 (pow N 3)))) (log1p (fma (/ 1 N) (cbrt (pow (- 1.0 (/ 0.5 N)) 3)) (/ 0.3333333333333333 (pow N 3)))) (* (/ 1 N) (cbrt (pow (- 1.0 (/ 0.5 N)) 3))) (log (fma (/ 1 N) (cbrt (pow (- 1.0 (/ 0.5 N)) 3)) (/ 0.3333333333333333 (pow N 3)))) (exp (fma (/ 1 N) (cbrt (pow (- 1.0 (/ 0.5 N)) 3)) (/ 0.3333333333333333 (pow N 3)))) (* (cbrt (fma (/ 1 N) (cbrt (pow (- 1.0 (/ 0.5 N)) 3)) (/ 0.3333333333333333 (pow N 3)))) (cbrt (fma (/ 1 N) (cbrt (pow (- 1.0 (/ 0.5 N)) 3)) (/ 0.3333333333333333 (pow N 3))))) (cbrt (fma (/ 1 N) (cbrt (pow (- 1.0 (/ 0.5 N)) 3)) (/ 0.3333333333333333 (pow N 3)))) (* (* (fma (/ 1 N) (cbrt (pow (- 1.0 (/ 0.5 N)) 3)) (/ 0.3333333333333333 (pow N 3))) (fma (/ 1 N) (cbrt (pow (- 1.0 (/ 0.5 N)) 3)) (/ 0.3333333333333333 (pow N 3)))) (fma (/ 1 N) (cbrt (pow (- 1.0 (/ 0.5 N)) 3)) (/ 0.3333333333333333 (pow N 3)))) (sqrt (fma (/ 1 N) (cbrt (pow (- 1.0 (/ 0.5 N)) 3)) (/ 0.3333333333333333 (pow N 3)))) (sqrt (fma (/ 1 N) (cbrt (pow (- 1.0 (/ 0.5 N)) 3)) (/ 0.3333333333333333 (pow N 3)))) (- 1.0 (* 0.5 (/ 1 N))) (- 1.0 (* 0.5 (/ 1 N))) (- 1.0 (* 0.5 (/ 1 N))) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (- (* 0.75 (/ 1 (pow N 2))) (+ (* 1.5 (/ 1 N)) (* 0.125 (/ 1 (pow N 3))))) (- (+ (* 0.75 (/ 1 (pow N 2))) 1.0) (* 1.5 (/ 1 N))) (- (+ (* 0.75 (/ 1 (pow N 2))) 1.0) (* 1.5 (/ 1 N))) (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 7.093 * * [simplify]: Extracting # 0 : cost 0 7.093 * * [simplify]: Extracting # 1 : cost 0 7.093 * * [simplify]: Extracting # 2 : cost 0 7.093 * * [simplify]: Extracting # 3 : cost 0 7.094 * * [simplify]: Extracting # 4 : cost 0 7.094 * * [simplify]: Extracting # 5 : cost 0 7.094 * * [simplify]: Extracting # 6 : cost 0 7.094 * * [simplify]: Extracting # 7 : cost 0 7.095 * * [simplify]: iteration 0 : 212 enodes (cost 2019 ) 7.169 * * [simplify]: Extracting # 0 : cost 0 7.170 * * [simplify]: Extracting # 1 : cost 0 7.171 * * [simplify]: Extracting # 2 : cost 0 7.171 * * [simplify]: Extracting # 3 : cost 0 7.171 * * [simplify]: Extracting # 4 : cost 0 7.172 * * [simplify]: iteration 1 : 448 enodes (cost 1623 ) 7.420 * * [simplify]: Extracting # 0 : cost 0 7.422 * * [simplify]: Extracting # 1 : cost 0 7.425 * * [simplify]: Extracting # 2 : cost 0 7.428 * * [simplify]: Extracting # 3 : cost 0 7.432 * * [simplify]: Extracting # 4 : cost 0 7.435 * * [simplify]: iteration 2 : 1356 enodes (cost 1485 ) 8.027 * * [simplify]: Extracting # 0 : cost 0 8.048 * * [simplify]: Extracting # 1 : cost 0 8.060 * * [simplify]: Extracting # 2 : cost 0 8.067 * * [simplify]: Extracting # 3 : cost 0 8.074 * * [simplify]: Extracting # 4 : cost 0 8.080 * * [simplify]: Extracting # 5 : cost 0 8.088 * * [simplify]: iteration done: 5000 enodes (cost 1479 ) 8.091 * [simplify]: Simplified to: (expm1 (- 1.0 (/ 0.5 N))) (log1p (- 1.0 (/ 0.5 N))) (log (- 1.0 (/ 0.5 N))) (exp (- 1.0 (/ 0.5 N))) (cbrt (pow (- 1.0 (/ 0.5 N)) 2)) (cbrt (- 1.0 (/ 0.5 N))) (sqrt (- 1.0 (/ 0.5 N))) (sqrt (- 1.0 (/ 0.5 N))) 1 (- 1.0 (/ 0.5 N)) (+ (sqrt 1.0) (sqrt (/ 0.5 N))) (- (sqrt 1.0) (sqrt (/ 0.5 N))) (+ (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) (- (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) 1 (- 1.0 (/ 0.5 N)) (cbrt (pow (- 1.0 (/ 0.5 N)) 2)) (cbrt (- 1.0 (/ 0.5 N))) (cbrt (pow (- 1.0 (/ 0.5 N)) 2)) (cbrt (- 1.0 (/ 0.5 N))) (cbrt (pow (- 1.0 (/ 0.5 N)) 2)) (cbrt (- 1.0 (/ 0.5 N))) (sqrt (- 1.0 (/ 0.5 N))) (sqrt (- 1.0 (/ 0.5 N))) 1 (- 1.0 (/ 0.5 N)) (+ (sqrt 1.0) (sqrt (/ 0.5 N))) (- (sqrt 1.0) (sqrt (/ 0.5 N))) (+ (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) (- (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) 1 (- 1.0 (/ 0.5 N)) (cbrt (- 1.0 (/ 0.5 N))) (cbrt (pow (- 1.0 (/ 0.5 N)) 2)) (cbrt (sqrt (pow (- 1.0 (/ 0.5 N)) 3))) (cbrt (sqrt (pow (- 1.0 (/ 0.5 N)) 3))) 1 (- 1.0 (/ 0.5 N)) (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2)) (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2)) (- (pow 1.0 3) (pow (/ 0.5 N) 3)) (fma 1.0 1.0 (* (/ 0.5 N) (+ 1.0 (/ 0.5 N)))) (- (* 1.0 1.0) (* (/ 0.5 N) (/ 0.5 N))) (+ 1.0 (/ 0.5 N)) (cbrt (pow (- 1.0 (/ 0.5 N)) 2)) (cbrt (- 1.0 (/ 0.5 N))) (pow (- 1.0 (/ 0.5 N)) 3) (sqrt (- 1.0 (/ 0.5 N))) (sqrt (- 1.0 (/ 0.5 N))) (expm1 (/ 0.3333333333333333 (pow N 3))) (log1p (/ 0.3333333333333333 (pow N 3))) (log (/ 0.3333333333333333 (pow N 3))) (log (/ 0.3333333333333333 (pow N 3))) (log (/ 0.3333333333333333 (pow N 3))) (log (/ 0.3333333333333333 (pow N 3))) (exp (/ 0.3333333333333333 (pow N 3))) (pow (/ 0.3333333333333333 (pow N 3)) 3) (* (cbrt (/ 0.3333333333333333 (pow N 3))) (cbrt (/ 0.3333333333333333 (pow N 3)))) (cbrt (/ 0.3333333333333333 (pow N 3))) (pow (/ 0.3333333333333333 (pow N 3)) 3) (sqrt (/ 0.3333333333333333 (pow N 3))) (sqrt (/ 0.3333333333333333 (pow N 3))) (- 0.3333333333333333) (- (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* N N)) (/ (cbrt 0.3333333333333333) N) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (sqrt N) 3)) (/ (cbrt 0.3333333333333333) (pow (sqrt N) 3)) (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* N N)) (/ (cbrt 0.3333333333333333) N) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* N N)) (/ (cbrt 0.3333333333333333) N) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* N N)) (/ (cbrt 0.3333333333333333) N) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (sqrt N) 3)) (/ (cbrt 0.3333333333333333) (pow (sqrt N) 3)) (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) N) (/ (cbrt 0.3333333333333333) (* N N)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (sqrt (pow N 3))) (/ (cbrt 0.3333333333333333) (sqrt (pow N 3))) (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow N 3/2)) (/ (cbrt 0.3333333333333333) (pow N 3/2)) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (sqrt 0.3333333333333333) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (sqrt 0.3333333333333333) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (sqrt 0.3333333333333333) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) (pow N 3/2)) (/ (sqrt 0.3333333333333333) (pow N 3/2)) (/ (/ 1 N) N) (/ 0.3333333333333333 N) (/ 1 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) 1 (/ 0.3333333333333333 (pow N 3)) (/ (/ 1 N) N) (/ 0.3333333333333333 N) (/ (/ 1 N) N) (/ 0.3333333333333333 N) (/ (/ 1 N) N) (/ 0.3333333333333333 N) (/ 1 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) 1 (/ 0.3333333333333333 (pow N 3)) (/ 1 N) (/ 0.3333333333333333 (pow N 2)) (/ 1 (sqrt (pow N 3))) (/ 0.3333333333333333 (sqrt (pow N 3))) 1 (/ 0.3333333333333333 (pow N 3)) (/ 1 (pow N 3/2)) (/ 0.3333333333333333 (pow N 3/2)) (/ 1 (pow N 3)) (/ (pow N 3) 0.3333333333333333) (/ 0.3333333333333333 (pow N 2)) (/ 0.3333333333333333 (pow (sqrt N) 3)) 0.3333333333333333 (/ 0.3333333333333333 (pow N 2)) (/ 0.3333333333333333 (pow N 2)) (/ 0.3333333333333333 (pow N 2)) (/ 0.3333333333333333 (pow (sqrt N) 3)) 0.3333333333333333 (/ 0.3333333333333333 N) (/ 0.3333333333333333 (sqrt (pow N 3))) 0.3333333333333333 (/ 0.3333333333333333 (pow N 3/2)) (/ (pow N 3) (cbrt 0.3333333333333333)) (/ (pow N 3) (sqrt 0.3333333333333333)) (/ (pow N 3) 0.3333333333333333) (expm1 (pow (- 1.0 (/ 0.5 N)) 3)) (log1p (pow (- 1.0 (/ 0.5 N)) 3)) (* (log (- 1.0 (/ 0.5 N))) 3) (* (log (- 1.0 (/ 0.5 N))) 3) 3 (pow (- 1.0 (/ 0.5 N)) (* (cbrt 3) (cbrt 3))) (pow (- 1.0 (/ 0.5 N)) (sqrt 3)) (- 1.0 (/ 0.5 N)) (pow (- 1.0 (/ 0.5 N)) 2) (- 1.0 (/ 0.5 N)) (pow (sqrt (- 1.0 (/ 0.5 N))) 3) (pow (sqrt (- 1.0 (/ 0.5 N))) 3) 1 (pow (- 1.0 (/ 0.5 N)) 3) (pow (+ (sqrt 1.0) (sqrt (/ 0.5 N))) 3) (pow (- (sqrt 1.0) (sqrt (/ 0.5 N))) 3) (pow (+ (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) 3) (pow (- (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) 3) 1 (pow (- 1.0 (/ 0.5 N)) 3) (pow (- 1.0 (/ 0.5 N)) 2) (* (log (- 1.0 (/ 0.5 N))) 3) (exp (pow (- 1.0 (/ 0.5 N)) 3)) (pow (- 1.0 (/ 0.5 N)) 2) (- 1.0 (/ 0.5 N)) (pow (pow (- 1.0 (/ 0.5 N)) 3) 3) (pow (- 1.0 (/ 0.5 N)) 2) (- 1.0 (/ 0.5 N)) (pow (sqrt (- 1.0 (/ 0.5 N))) 3) (pow (sqrt (- 1.0 (/ 0.5 N))) 3) 1 (pow (- 1.0 (/ 0.5 N)) 3) (pow (+ (sqrt 1.0) (sqrt (/ 0.5 N))) 3) (pow (- (sqrt 1.0) (sqrt (/ 0.5 N))) 3) (pow (+ (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) 3) (pow (- (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) 3) 1 (pow (- 1.0 (/ 0.5 N)) 3) (pow (- (pow 1.0 3) (pow (/ 0.5 N) 3)) 3) (pow (fma 1.0 1.0 (* (/ 0.5 N) (+ 1.0 (/ 0.5 N)))) 3) (pow (- (* 1.0 1.0) (* (/ 0.5 N) (/ 0.5 N))) 3) (pow (+ 1.0 (/ 0.5 N)) 3) (pow (- 1.0 (/ 0.5 N)) 2) (sqrt (pow (- 1.0 (/ 0.5 N)) 3)) (sqrt (pow (- 1.0 (/ 0.5 N)) 3)) (pow (- 1.0 (/ 0.5 N)) 3/2) (pow (- 1.0 (/ 0.5 N)) 3/2) (expm1 (+ (/ (- 1.0 (/ 0.5 N)) N) (/ 0.3333333333333333 (pow N 3)))) (log1p (+ (/ (- 1.0 (/ 0.5 N)) N) (/ 0.3333333333333333 (pow N 3)))) (/ (- 1.0 (/ 0.5 N)) N) (log (+ (/ (- 1.0 (/ 0.5 N)) N) (/ 0.3333333333333333 (pow N 3)))) (exp (+ (/ (- 1.0 (/ 0.5 N)) N) (/ 0.3333333333333333 (pow N 3)))) (* (cbrt (+ (/ (- 1.0 (/ 0.5 N)) N) (/ 0.3333333333333333 (pow N 3)))) (cbrt (+ (/ (- 1.0 (/ 0.5 N)) N) (/ 0.3333333333333333 (pow N 3))))) (cbrt (+ (/ (- 1.0 (/ 0.5 N)) N) (/ 0.3333333333333333 (pow N 3)))) (pow (+ (/ (- 1.0 (/ 0.5 N)) N) (/ 0.3333333333333333 (pow N 3))) 3) (sqrt (+ (/ (- 1.0 (/ 0.5 N)) N) (/ 0.3333333333333333 (pow N 3)))) (sqrt (+ (/ (- 1.0 (/ 0.5 N)) N) (/ 0.3333333333333333 (pow N 3)))) (- 1.0 (/ 0.5 N)) (- 1.0 (/ 0.5 N)) (- 1.0 (/ 0.5 N)) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (- (/ 0.75 (* N N)) (+ (/ 0.125 (pow N 3)) (/ 1.5 N))) (+ (/ 0.75 (* N N)) (- 1.0 (/ 1.5 N))) (+ (/ 0.75 (* N N)) (- 1.0 (/ 1.5 N))) (+ (/ (- 1.0 (/ 0.5 N)) N) (/ 0.3333333333333333 (pow N 3))) (+ (/ (- 1.0 (/ 0.5 N)) N) (/ 0.3333333333333333 (pow N 3))) (+ (/ (- 1.0 (/ 0.5 N)) N) (/ 0.3333333333333333 (pow N 3))) 8.093 * * * [progress]: adding candidates to table 8.633 * * [progress]: iteration 4 / 4 8.633 * * * [progress]: picking best candidate 8.641 * * * * [pick]: Picked # 8.641 * * * [progress]: localizing error 8.670 * * * [progress]: generating rewritten candidates 8.670 * * * * [progress]: [ 1 / 4 ] rewriting at (2 3) 8.679 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 8.702 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 8.745 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 9.010 * * * [progress]: generating series expansions 9.010 * * * * [progress]: [ 1 / 4 ] generating series at (2 3) 9.010 * [backup-simplify]: Simplify (/ 0.3333333333333333 (pow N 3)) into (/ 0.3333333333333333 (pow N 3)) 9.010 * [approximate]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in (N) around 0 9.010 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 9.010 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 9.010 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 9.010 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.010 * [taylor]: Taking taylor expansion of N in N 9.010 * [backup-simplify]: Simplify 0 into 0 9.010 * [backup-simplify]: Simplify 1 into 1 9.011 * [backup-simplify]: Simplify (* 1 1) into 1 9.011 * [backup-simplify]: Simplify (* 1 1) into 1 9.012 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 9.012 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 9.012 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 9.012 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 9.012 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.012 * [taylor]: Taking taylor expansion of N in N 9.012 * [backup-simplify]: Simplify 0 into 0 9.012 * [backup-simplify]: Simplify 1 into 1 9.012 * [backup-simplify]: Simplify (* 1 1) into 1 9.012 * [backup-simplify]: Simplify (* 1 1) into 1 9.013 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 9.013 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 9.013 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.013 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.014 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)))) into 0 9.014 * [backup-simplify]: Simplify 0 into 0 9.015 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.015 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.016 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.016 * [backup-simplify]: Simplify 0 into 0 9.016 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.017 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.017 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.017 * [backup-simplify]: Simplify 0 into 0 9.018 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.019 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.019 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.019 * [backup-simplify]: Simplify 0 into 0 9.020 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.021 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.022 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.022 * [backup-simplify]: Simplify 0 into 0 9.022 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.023 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.024 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.024 * [backup-simplify]: Simplify 0 into 0 9.024 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 3)) into (/ 0.3333333333333333 (pow N 3)) 9.024 * [backup-simplify]: Simplify (/ 0.3333333333333333 (pow (/ 1 N) 3)) into (* 0.3333333333333333 (pow N 3)) 9.024 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in (N) around 0 9.024 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 9.024 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 9.024 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 9.024 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.024 * [taylor]: Taking taylor expansion of N in N 9.024 * [backup-simplify]: Simplify 0 into 0 9.024 * [backup-simplify]: Simplify 1 into 1 9.024 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 9.024 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 9.024 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 9.024 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.024 * [taylor]: Taking taylor expansion of N in N 9.024 * [backup-simplify]: Simplify 0 into 0 9.025 * [backup-simplify]: Simplify 1 into 1 9.025 * [backup-simplify]: Simplify (* 1 1) into 1 9.025 * [backup-simplify]: Simplify (* 1 1) into 1 9.025 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 9.025 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 9.026 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.026 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.027 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 9.027 * [backup-simplify]: Simplify 0 into 0 9.027 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.028 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.028 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 9.028 * [backup-simplify]: Simplify 0 into 0 9.029 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.029 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.030 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.030 * [backup-simplify]: Simplify 0 into 0 9.031 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.031 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.032 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.032 * [backup-simplify]: Simplify 0 into 0 9.033 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.034 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.035 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.035 * [backup-simplify]: Simplify 0 into 0 9.040 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.041 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.042 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.042 * [backup-simplify]: Simplify 0 into 0 9.042 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 3)) into (/ 0.3333333333333333 (pow N 3)) 9.042 * [backup-simplify]: Simplify (/ 0.3333333333333333 (pow (/ 1 (- N)) 3)) into (* -0.3333333333333333 (pow N 3)) 9.042 * [approximate]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in (N) around 0 9.042 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 9.042 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 9.042 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 9.042 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.042 * [taylor]: Taking taylor expansion of N in N 9.042 * [backup-simplify]: Simplify 0 into 0 9.042 * [backup-simplify]: Simplify 1 into 1 9.042 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 9.042 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 9.042 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 9.042 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.042 * [taylor]: Taking taylor expansion of N in N 9.042 * [backup-simplify]: Simplify 0 into 0 9.042 * [backup-simplify]: Simplify 1 into 1 9.043 * [backup-simplify]: Simplify (* 1 1) into 1 9.043 * [backup-simplify]: Simplify (* 1 1) into 1 9.043 * [backup-simplify]: Simplify (* -0.3333333333333333 1) into -0.3333333333333333 9.043 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 9.044 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.044 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.045 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (* 0 1)) into 0 9.045 * [backup-simplify]: Simplify 0 into 0 9.045 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.046 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.046 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 9.046 * [backup-simplify]: Simplify 0 into 0 9.047 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.047 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.048 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.048 * [backup-simplify]: Simplify 0 into 0 9.049 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.050 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.050 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.050 * [backup-simplify]: Simplify 0 into 0 9.051 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.052 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.053 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.053 * [backup-simplify]: Simplify 0 into 0 9.054 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.054 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.055 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.055 * [backup-simplify]: Simplify 0 into 0 9.056 * [backup-simplify]: Simplify (* -0.3333333333333333 (pow (/ 1 (- N)) 3)) into (/ 0.3333333333333333 (pow N 3)) 9.056 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 9.056 * [backup-simplify]: Simplify (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2)) into (sqrt (- 1.0 (* 0.5 (/ 1 N)))) 9.056 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (* 0.5 (/ 1 N)))) in (N) around 0 9.056 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (* 0.5 (/ 1 N)))) in N 9.056 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 (/ 1 N))) in N 9.056 * [taylor]: Taking taylor expansion of 1.0 in N 9.056 * [backup-simplify]: Simplify 1.0 into 1.0 9.056 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 N)) in N 9.056 * [taylor]: Taking taylor expansion of 0.5 in N 9.056 * [backup-simplify]: Simplify 0.5 into 0.5 9.056 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.056 * [taylor]: Taking taylor expansion of N in N 9.056 * [backup-simplify]: Simplify 0 into 0 9.056 * [backup-simplify]: Simplify 1 into 1 9.056 * [backup-simplify]: Simplify (/ 1 1) into 1 9.057 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 9.057 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 9.057 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 9.058 * [backup-simplify]: Simplify (sqrt 0) into 0 9.059 * [backup-simplify]: Simplify (/ (- 0.5) (* 2 (sqrt 0))) into +nan.0 9.059 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (* 0.5 (/ 1 N)))) in N 9.059 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 (/ 1 N))) in N 9.059 * [taylor]: Taking taylor expansion of 1.0 in N 9.059 * [backup-simplify]: Simplify 1.0 into 1.0 9.059 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 N)) in N 9.059 * [taylor]: Taking taylor expansion of 0.5 in N 9.059 * [backup-simplify]: Simplify 0.5 into 0.5 9.059 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.059 * [taylor]: Taking taylor expansion of N in N 9.060 * [backup-simplify]: Simplify 0 into 0 9.060 * [backup-simplify]: Simplify 1 into 1 9.060 * [backup-simplify]: Simplify (/ 1 1) into 1 9.060 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 9.060 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 9.061 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 9.061 * [backup-simplify]: Simplify (sqrt 0) into 0 9.062 * [backup-simplify]: Simplify (/ (- 0.5) (* 2 (sqrt 0))) into +nan.0 9.062 * [backup-simplify]: Simplify 0 into 0 9.062 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.063 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 9.064 * [backup-simplify]: Simplify (- 0) into 0 9.064 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.066 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.066 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.067 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 9.067 * [backup-simplify]: Simplify (- 0) into 0 9.067 * [backup-simplify]: Simplify (+ 0 0) into 0 9.070 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.070 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.070 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) +nan.0)) into (- (+ (* +nan.0 (pow N 2)) (- (+ (* +nan.0 N) (- +nan.0))))) 9.070 * [backup-simplify]: Simplify (cbrt (pow (- 1.0 (/ 0.5 (/ 1 N))) 3/2)) into (sqrt (- 1.0 (* 0.5 N))) 9.070 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (* 0.5 N))) in (N) around 0 9.070 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (* 0.5 N))) in N 9.070 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 N)) in N 9.070 * [taylor]: Taking taylor expansion of 1.0 in N 9.070 * [backup-simplify]: Simplify 1.0 into 1.0 9.071 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 9.071 * [taylor]: Taking taylor expansion of 0.5 in N 9.071 * [backup-simplify]: Simplify 0.5 into 0.5 9.071 * [taylor]: Taking taylor expansion of N in N 9.071 * [backup-simplify]: Simplify 0 into 0 9.071 * [backup-simplify]: Simplify 1 into 1 9.071 * [backup-simplify]: Simplify (* 0.5 0) into 0 9.071 * [backup-simplify]: Simplify (- 0) into 0 9.071 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.072 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 9.073 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 9.073 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 9.074 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 9.075 * [backup-simplify]: Simplify (/ (- 0.5) (* 2 (sqrt 1.0))) into (/ -0.25 (sqrt 1.0)) 9.075 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (* 0.5 N))) in N 9.075 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 N)) in N 9.075 * [taylor]: Taking taylor expansion of 1.0 in N 9.075 * [backup-simplify]: Simplify 1.0 into 1.0 9.075 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 9.075 * [taylor]: Taking taylor expansion of 0.5 in N 9.075 * [backup-simplify]: Simplify 0.5 into 0.5 9.075 * [taylor]: Taking taylor expansion of N in N 9.075 * [backup-simplify]: Simplify 0 into 0 9.075 * [backup-simplify]: Simplify 1 into 1 9.076 * [backup-simplify]: Simplify (* 0.5 0) into 0 9.076 * [backup-simplify]: Simplify (- 0) into 0 9.076 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.076 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 9.077 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 9.078 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 9.078 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 9.080 * [backup-simplify]: Simplify (/ (- 0.5) (* 2 (sqrt 1.0))) into (/ -0.25 (sqrt 1.0)) 9.081 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 9.082 * [backup-simplify]: Simplify (/ -0.25 (sqrt 1.0)) into (/ -0.25 (sqrt 1.0)) 9.083 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 9.083 * [backup-simplify]: Simplify (- 0) into 0 9.084 * [backup-simplify]: Simplify (+ 0 0) into 0 9.089 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -0.25 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -0.03125 (pow (sqrt 1.0) 3)) 9.091 * [backup-simplify]: Simplify (/ -0.03125 (pow (sqrt 1.0) 3)) into (/ -0.03125 (pow (sqrt 1.0) 3)) 9.094 * [backup-simplify]: Simplify (+ (* (/ -0.03125 (pow (sqrt 1.0) 3)) (pow (/ 1 N) 2)) (+ (* (/ -0.25 (sqrt 1.0)) (/ 1 N)) (sqrt 1.0))) into (- (sqrt 1.0) (+ (* 0.25 (/ 1 (* N (sqrt 1.0)))) (* 0.03125 (/ 1 (* (pow N 2) (pow (sqrt 1.0) 3)))))) 9.094 * [backup-simplify]: Simplify (cbrt (pow (- 1.0 (/ 0.5 (/ 1 (- N)))) 3/2)) into (sqrt (+ (* 0.5 N) 1.0)) 9.094 * [approximate]: Taking taylor expansion of (sqrt (+ (* 0.5 N) 1.0)) in (N) around 0 9.094 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.5 N) 1.0)) in N 9.095 * [taylor]: Taking taylor expansion of (+ (* 0.5 N) 1.0) in N 9.095 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 9.095 * [taylor]: Taking taylor expansion of 0.5 in N 9.095 * [backup-simplify]: Simplify 0.5 into 0.5 9.095 * [taylor]: Taking taylor expansion of N in N 9.095 * [backup-simplify]: Simplify 0 into 0 9.095 * [backup-simplify]: Simplify 1 into 1 9.095 * [taylor]: Taking taylor expansion of 1.0 in N 9.095 * [backup-simplify]: Simplify 1.0 into 1.0 9.095 * [backup-simplify]: Simplify (* 0.5 0) into 0 9.096 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.096 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 9.097 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 9.098 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 9.100 * [backup-simplify]: Simplify (/ 0.5 (* 2 (sqrt 1.0))) into (/ 0.25 (sqrt 1.0)) 9.100 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.5 N) 1.0)) in N 9.100 * [taylor]: Taking taylor expansion of (+ (* 0.5 N) 1.0) in N 9.100 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 9.100 * [taylor]: Taking taylor expansion of 0.5 in N 9.100 * [backup-simplify]: Simplify 0.5 into 0.5 9.100 * [taylor]: Taking taylor expansion of N in N 9.100 * [backup-simplify]: Simplify 0 into 0 9.100 * [backup-simplify]: Simplify 1 into 1 9.100 * [taylor]: Taking taylor expansion of 1.0 in N 9.100 * [backup-simplify]: Simplify 1.0 into 1.0 9.100 * [backup-simplify]: Simplify (* 0.5 0) into 0 9.101 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.101 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 9.103 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 9.103 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 9.105 * [backup-simplify]: Simplify (/ 0.5 (* 2 (sqrt 1.0))) into (/ 0.25 (sqrt 1.0)) 9.105 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 9.106 * [backup-simplify]: Simplify (/ 0.25 (sqrt 1.0)) into (/ 0.25 (sqrt 1.0)) 9.107 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 9.108 * [backup-simplify]: Simplify (+ 0 0) into 0 9.114 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.25 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -0.03125 (pow (sqrt 1.0) 3)) 9.116 * [backup-simplify]: Simplify (/ -0.03125 (pow (sqrt 1.0) 3)) into (/ -0.03125 (pow (sqrt 1.0) 3)) 9.119 * [backup-simplify]: Simplify (+ (* (/ -0.03125 (pow (sqrt 1.0) 3)) (pow (/ 1 (- N)) 2)) (+ (* (/ 0.25 (sqrt 1.0)) (/ 1 (- N))) (sqrt 1.0))) into (- (sqrt 1.0) (+ (* 0.25 (/ 1 (* N (sqrt 1.0)))) (* 0.03125 (/ 1 (* (pow N 2) (pow (sqrt 1.0) 3)))))) 9.119 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 9.119 * [backup-simplify]: Simplify (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2)) into (sqrt (- 1.0 (* 0.5 (/ 1 N)))) 9.119 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (* 0.5 (/ 1 N)))) in (N) around 0 9.119 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (* 0.5 (/ 1 N)))) in N 9.119 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 (/ 1 N))) in N 9.120 * [taylor]: Taking taylor expansion of 1.0 in N 9.120 * [backup-simplify]: Simplify 1.0 into 1.0 9.120 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 N)) in N 9.120 * [taylor]: Taking taylor expansion of 0.5 in N 9.120 * [backup-simplify]: Simplify 0.5 into 0.5 9.120 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.120 * [taylor]: Taking taylor expansion of N in N 9.120 * [backup-simplify]: Simplify 0 into 0 9.120 * [backup-simplify]: Simplify 1 into 1 9.120 * [backup-simplify]: Simplify (/ 1 1) into 1 9.121 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 9.121 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 9.122 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 9.122 * [backup-simplify]: Simplify (sqrt 0) into 0 9.124 * [backup-simplify]: Simplify (/ (- 0.5) (* 2 (sqrt 0))) into +nan.0 9.124 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (* 0.5 (/ 1 N)))) in N 9.124 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 (/ 1 N))) in N 9.124 * [taylor]: Taking taylor expansion of 1.0 in N 9.124 * [backup-simplify]: Simplify 1.0 into 1.0 9.124 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 N)) in N 9.124 * [taylor]: Taking taylor expansion of 0.5 in N 9.124 * [backup-simplify]: Simplify 0.5 into 0.5 9.124 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.124 * [taylor]: Taking taylor expansion of N in N 9.124 * [backup-simplify]: Simplify 0 into 0 9.124 * [backup-simplify]: Simplify 1 into 1 9.125 * [backup-simplify]: Simplify (/ 1 1) into 1 9.125 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 9.126 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 9.126 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 9.127 * [backup-simplify]: Simplify (sqrt 0) into 0 9.129 * [backup-simplify]: Simplify (/ (- 0.5) (* 2 (sqrt 0))) into +nan.0 9.129 * [backup-simplify]: Simplify 0 into 0 9.129 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.130 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 9.131 * [backup-simplify]: Simplify (- 0) into 0 9.131 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.134 * [backup-simplify]: Simplify (/ (- 1.0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 9.134 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.135 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 9.135 * [backup-simplify]: Simplify (- 0) into 0 9.136 * [backup-simplify]: Simplify (+ 0 0) into 0 9.138 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 9.138 * [backup-simplify]: Simplify +nan.0 into +nan.0 9.138 * [backup-simplify]: Simplify (+ (* +nan.0 (pow N 2)) (+ (* +nan.0 N) +nan.0)) into (- (+ (* +nan.0 (pow N 2)) (- (+ (* +nan.0 N) (- +nan.0))))) 9.138 * [backup-simplify]: Simplify (cbrt (pow (- 1.0 (/ 0.5 (/ 1 N))) 3/2)) into (sqrt (- 1.0 (* 0.5 N))) 9.138 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (* 0.5 N))) in (N) around 0 9.138 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (* 0.5 N))) in N 9.138 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 N)) in N 9.138 * [taylor]: Taking taylor expansion of 1.0 in N 9.139 * [backup-simplify]: Simplify 1.0 into 1.0 9.139 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 9.139 * [taylor]: Taking taylor expansion of 0.5 in N 9.139 * [backup-simplify]: Simplify 0.5 into 0.5 9.139 * [taylor]: Taking taylor expansion of N in N 9.139 * [backup-simplify]: Simplify 0 into 0 9.139 * [backup-simplify]: Simplify 1 into 1 9.139 * [backup-simplify]: Simplify (* 0.5 0) into 0 9.139 * [backup-simplify]: Simplify (- 0) into 0 9.139 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.140 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 9.141 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 9.141 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 9.141 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 9.143 * [backup-simplify]: Simplify (/ (- 0.5) (* 2 (sqrt 1.0))) into (/ -0.25 (sqrt 1.0)) 9.143 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (* 0.5 N))) in N 9.143 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 N)) in N 9.143 * [taylor]: Taking taylor expansion of 1.0 in N 9.143 * [backup-simplify]: Simplify 1.0 into 1.0 9.143 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 9.143 * [taylor]: Taking taylor expansion of 0.5 in N 9.143 * [backup-simplify]: Simplify 0.5 into 0.5 9.143 * [taylor]: Taking taylor expansion of N in N 9.143 * [backup-simplify]: Simplify 0 into 0 9.143 * [backup-simplify]: Simplify 1 into 1 9.143 * [backup-simplify]: Simplify (* 0.5 0) into 0 9.143 * [backup-simplify]: Simplify (- 0) into 0 9.144 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.144 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 9.145 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 9.145 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 9.146 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 9.147 * [backup-simplify]: Simplify (/ (- 0.5) (* 2 (sqrt 1.0))) into (/ -0.25 (sqrt 1.0)) 9.147 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 9.148 * [backup-simplify]: Simplify (/ -0.25 (sqrt 1.0)) into (/ -0.25 (sqrt 1.0)) 9.149 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 9.149 * [backup-simplify]: Simplify (- 0) into 0 9.149 * [backup-simplify]: Simplify (+ 0 0) into 0 9.158 * [backup-simplify]: Simplify (/ (- 0 (pow (/ -0.25 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -0.03125 (pow (sqrt 1.0) 3)) 9.159 * [backup-simplify]: Simplify (/ -0.03125 (pow (sqrt 1.0) 3)) into (/ -0.03125 (pow (sqrt 1.0) 3)) 9.162 * [backup-simplify]: Simplify (+ (* (/ -0.03125 (pow (sqrt 1.0) 3)) (pow (/ 1 N) 2)) (+ (* (/ -0.25 (sqrt 1.0)) (/ 1 N)) (sqrt 1.0))) into (- (sqrt 1.0) (+ (* 0.25 (/ 1 (* N (sqrt 1.0)))) (* 0.03125 (/ 1 (* (pow N 2) (pow (sqrt 1.0) 3)))))) 9.162 * [backup-simplify]: Simplify (cbrt (pow (- 1.0 (/ 0.5 (/ 1 (- N)))) 3/2)) into (sqrt (+ (* 0.5 N) 1.0)) 9.162 * [approximate]: Taking taylor expansion of (sqrt (+ (* 0.5 N) 1.0)) in (N) around 0 9.162 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.5 N) 1.0)) in N 9.162 * [taylor]: Taking taylor expansion of (+ (* 0.5 N) 1.0) in N 9.162 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 9.162 * [taylor]: Taking taylor expansion of 0.5 in N 9.162 * [backup-simplify]: Simplify 0.5 into 0.5 9.162 * [taylor]: Taking taylor expansion of N in N 9.162 * [backup-simplify]: Simplify 0 into 0 9.162 * [backup-simplify]: Simplify 1 into 1 9.162 * [taylor]: Taking taylor expansion of 1.0 in N 9.162 * [backup-simplify]: Simplify 1.0 into 1.0 9.162 * [backup-simplify]: Simplify (* 0.5 0) into 0 9.162 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.163 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 9.164 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 9.164 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 9.165 * [backup-simplify]: Simplify (/ 0.5 (* 2 (sqrt 1.0))) into (/ 0.25 (sqrt 1.0)) 9.165 * [taylor]: Taking taylor expansion of (sqrt (+ (* 0.5 N) 1.0)) in N 9.165 * [taylor]: Taking taylor expansion of (+ (* 0.5 N) 1.0) in N 9.165 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 9.165 * [taylor]: Taking taylor expansion of 0.5 in N 9.165 * [backup-simplify]: Simplify 0.5 into 0.5 9.165 * [taylor]: Taking taylor expansion of N in N 9.165 * [backup-simplify]: Simplify 0 into 0 9.165 * [backup-simplify]: Simplify 1 into 1 9.165 * [taylor]: Taking taylor expansion of 1.0 in N 9.165 * [backup-simplify]: Simplify 1.0 into 1.0 9.165 * [backup-simplify]: Simplify (* 0.5 0) into 0 9.166 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.166 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 9.167 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 9.167 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 9.168 * [backup-simplify]: Simplify (/ 0.5 (* 2 (sqrt 1.0))) into (/ 0.25 (sqrt 1.0)) 9.168 * [backup-simplify]: Simplify (sqrt 1.0) into (sqrt 1.0) 9.169 * [backup-simplify]: Simplify (/ 0.25 (sqrt 1.0)) into (/ 0.25 (sqrt 1.0)) 9.169 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 9.170 * [backup-simplify]: Simplify (+ 0 0) into 0 9.173 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 0.25 (sqrt 1.0)) 2) (+)) (* 2 (sqrt 1.0))) into (/ -0.03125 (pow (sqrt 1.0) 3)) 9.174 * [backup-simplify]: Simplify (/ -0.03125 (pow (sqrt 1.0) 3)) into (/ -0.03125 (pow (sqrt 1.0) 3)) 9.177 * [backup-simplify]: Simplify (+ (* (/ -0.03125 (pow (sqrt 1.0) 3)) (pow (/ 1 (- N)) 2)) (+ (* (/ 0.25 (sqrt 1.0)) (/ 1 (- N))) (sqrt 1.0))) into (- (sqrt 1.0) (+ (* 0.25 (/ 1 (* N (sqrt 1.0)))) (* 0.03125 (/ 1 (* (pow N 2) (pow (sqrt 1.0) 3)))))) 9.177 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 9.178 * [backup-simplify]: Simplify (* (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2)) (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2))) into (- 1.0 (* 0.5 (/ 1 N))) 9.178 * [approximate]: Taking taylor expansion of (- 1.0 (* 0.5 (/ 1 N))) in (N) around 0 9.178 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 (/ 1 N))) in N 9.178 * [taylor]: Taking taylor expansion of 1.0 in N 9.178 * [backup-simplify]: Simplify 1.0 into 1.0 9.178 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 N)) in N 9.178 * [taylor]: Taking taylor expansion of 0.5 in N 9.178 * [backup-simplify]: Simplify 0.5 into 0.5 9.178 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.178 * [taylor]: Taking taylor expansion of N in N 9.178 * [backup-simplify]: Simplify 0 into 0 9.178 * [backup-simplify]: Simplify 1 into 1 9.178 * [backup-simplify]: Simplify (/ 1 1) into 1 9.178 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 (/ 1 N))) in N 9.178 * [taylor]: Taking taylor expansion of 1.0 in N 9.178 * [backup-simplify]: Simplify 1.0 into 1.0 9.178 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 N)) in N 9.178 * [taylor]: Taking taylor expansion of 0.5 in N 9.178 * [backup-simplify]: Simplify 0.5 into 0.5 9.178 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.178 * [taylor]: Taking taylor expansion of N in N 9.179 * [backup-simplify]: Simplify 0 into 0 9.179 * [backup-simplify]: Simplify 1 into 1 9.179 * [backup-simplify]: Simplify (/ 1 1) into 1 9.179 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 9.180 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 9.181 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 9.181 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 9.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.183 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 9.183 * [backup-simplify]: Simplify (- 0) into 0 9.183 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.183 * [backup-simplify]: Simplify 1.0 into 1.0 9.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.185 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 9.186 * [backup-simplify]: Simplify (- 0) into 0 9.186 * [backup-simplify]: Simplify (+ 0 0) into 0 9.186 * [backup-simplify]: Simplify 0 into 0 9.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.188 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.189 * [backup-simplify]: Simplify (- 0) into 0 9.189 * [backup-simplify]: Simplify (+ 0 0) into 0 9.189 * [backup-simplify]: Simplify 0 into 0 9.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.191 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.191 * [backup-simplify]: Simplify (- 0) into 0 9.192 * [backup-simplify]: Simplify (+ 0 0) into 0 9.192 * [backup-simplify]: Simplify 0 into 0 9.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.194 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.195 * [backup-simplify]: Simplify (- 0) into 0 9.195 * [backup-simplify]: Simplify (+ 0 0) into 0 9.195 * [backup-simplify]: Simplify 0 into 0 9.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.198 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.198 * [backup-simplify]: Simplify (- 0) into 0 9.199 * [backup-simplify]: Simplify (+ 0 0) into 0 9.199 * [backup-simplify]: Simplify 0 into 0 9.200 * [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 9.201 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 9.202 * [backup-simplify]: Simplify (- 0) into 0 9.202 * [backup-simplify]: Simplify (+ 0 0) into 0 9.202 * [backup-simplify]: Simplify 0 into 0 9.203 * [backup-simplify]: Simplify (+ 1.0 (* (- 0.5) (/ 1 N))) into (- 1.0 (* 0.5 (/ 1 N))) 9.203 * [backup-simplify]: Simplify (* (cbrt (pow (- 1.0 (/ 0.5 (/ 1 N))) 3/2)) (cbrt (pow (- 1.0 (/ 0.5 (/ 1 N))) 3/2))) into (- 1.0 (* 0.5 N)) 9.203 * [approximate]: Taking taylor expansion of (- 1.0 (* 0.5 N)) in (N) around 0 9.203 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 N)) in N 9.203 * [taylor]: Taking taylor expansion of 1.0 in N 9.203 * [backup-simplify]: Simplify 1.0 into 1.0 9.203 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 9.203 * [taylor]: Taking taylor expansion of 0.5 in N 9.204 * [backup-simplify]: Simplify 0.5 into 0.5 9.204 * [taylor]: Taking taylor expansion of N in N 9.204 * [backup-simplify]: Simplify 0 into 0 9.204 * [backup-simplify]: Simplify 1 into 1 9.204 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 N)) in N 9.204 * [taylor]: Taking taylor expansion of 1.0 in N 9.204 * [backup-simplify]: Simplify 1.0 into 1.0 9.204 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 9.204 * [taylor]: Taking taylor expansion of 0.5 in N 9.204 * [backup-simplify]: Simplify 0.5 into 0.5 9.204 * [taylor]: Taking taylor expansion of N in N 9.204 * [backup-simplify]: Simplify 0 into 0 9.204 * [backup-simplify]: Simplify 1 into 1 9.204 * [backup-simplify]: Simplify (* 0.5 0) into 0 9.205 * [backup-simplify]: Simplify (- 0) into 0 9.205 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.205 * [backup-simplify]: Simplify 1.0 into 1.0 9.207 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 9.207 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 9.208 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 9.208 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 9.209 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 9.210 * [backup-simplify]: Simplify (- 0) into 0 9.210 * [backup-simplify]: Simplify (+ 0 0) into 0 9.210 * [backup-simplify]: Simplify 0 into 0 9.211 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 9.212 * [backup-simplify]: Simplify (- 0) into 0 9.212 * [backup-simplify]: Simplify (+ 0 0) into 0 9.212 * [backup-simplify]: Simplify 0 into 0 9.213 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 9.214 * [backup-simplify]: Simplify (- 0) into 0 9.214 * [backup-simplify]: Simplify (+ 0 0) into 0 9.214 * [backup-simplify]: Simplify 0 into 0 9.216 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 9.216 * [backup-simplify]: Simplify (- 0) into 0 9.216 * [backup-simplify]: Simplify (+ 0 0) into 0 9.217 * [backup-simplify]: Simplify 0 into 0 9.218 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 9.219 * [backup-simplify]: Simplify (- 0) into 0 9.219 * [backup-simplify]: Simplify (+ 0 0) into 0 9.219 * [backup-simplify]: Simplify 0 into 0 9.221 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 9.222 * [backup-simplify]: Simplify (- 0) into 0 9.222 * [backup-simplify]: Simplify (+ 0 0) into 0 9.222 * [backup-simplify]: Simplify 0 into 0 9.223 * [backup-simplify]: Simplify (+ (* (- 0.5) (/ 1 N)) 1.0) into (- 1.0 (* 0.5 (/ 1 N))) 9.223 * [backup-simplify]: Simplify (* (cbrt (pow (- 1.0 (/ 0.5 (/ 1 (- N)))) 3/2)) (cbrt (pow (- 1.0 (/ 0.5 (/ 1 (- N)))) 3/2))) into (+ (* 0.5 N) 1.0) 9.223 * [approximate]: Taking taylor expansion of (+ (* 0.5 N) 1.0) in (N) around 0 9.223 * [taylor]: Taking taylor expansion of (+ (* 0.5 N) 1.0) in N 9.223 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 9.223 * [taylor]: Taking taylor expansion of 0.5 in N 9.223 * [backup-simplify]: Simplify 0.5 into 0.5 9.223 * [taylor]: Taking taylor expansion of N in N 9.223 * [backup-simplify]: Simplify 0 into 0 9.223 * [backup-simplify]: Simplify 1 into 1 9.223 * [taylor]: Taking taylor expansion of 1.0 in N 9.224 * [backup-simplify]: Simplify 1.0 into 1.0 9.224 * [taylor]: Taking taylor expansion of (+ (* 0.5 N) 1.0) in N 9.224 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 9.224 * [taylor]: Taking taylor expansion of 0.5 in N 9.224 * [backup-simplify]: Simplify 0.5 into 0.5 9.224 * [taylor]: Taking taylor expansion of N in N 9.224 * [backup-simplify]: Simplify 0 into 0 9.224 * [backup-simplify]: Simplify 1 into 1 9.224 * [taylor]: Taking taylor expansion of 1.0 in N 9.224 * [backup-simplify]: Simplify 1.0 into 1.0 9.224 * [backup-simplify]: Simplify (* 0.5 0) into 0 9.225 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.225 * [backup-simplify]: Simplify 1.0 into 1.0 9.226 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 9.227 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 9.227 * [backup-simplify]: Simplify 0.5 into 0.5 9.228 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 9.228 * [backup-simplify]: Simplify (+ 0 0) into 0 9.228 * [backup-simplify]: Simplify 0 into 0 9.229 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 9.230 * [backup-simplify]: Simplify (+ 0 0) into 0 9.230 * [backup-simplify]: Simplify 0 into 0 9.231 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 9.232 * [backup-simplify]: Simplify (+ 0 0) into 0 9.232 * [backup-simplify]: Simplify 0 into 0 9.233 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 9.234 * [backup-simplify]: Simplify (+ 0 0) into 0 9.234 * [backup-simplify]: Simplify 0 into 0 9.236 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 9.236 * [backup-simplify]: Simplify (+ 0 0) into 0 9.236 * [backup-simplify]: Simplify 0 into 0 9.238 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 9.239 * [backup-simplify]: Simplify (+ 0 0) into 0 9.239 * [backup-simplify]: Simplify 0 into 0 9.239 * [backup-simplify]: Simplify (+ (* 0.5 (/ 1 (- N))) 1.0) into (- 1.0 (* 0.5 (/ 1 N))) 9.239 * * * [progress]: simplifying candidates 9.245 * [simplify]: Simplifying: (expm1 (/ 0.3333333333333333 (pow N 3))) (log1p (/ 0.3333333333333333 (pow N 3))) (- (log 0.3333333333333333) (* (log N) 3)) (- (log 0.3333333333333333) (* (log N) 3)) (- (log 0.3333333333333333) (log (pow N 3))) (log (/ 0.3333333333333333 (pow N 3))) (exp (/ 0.3333333333333333 (pow N 3))) (/ (* (* 0.3333333333333333 0.3333333333333333) 0.3333333333333333) (* (* (pow N 3) (pow N 3)) (pow N 3))) (* (cbrt (/ 0.3333333333333333 (pow N 3))) (cbrt (/ 0.3333333333333333 (pow N 3)))) (cbrt (/ 0.3333333333333333 (pow N 3))) (* (* (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3))) (/ 0.3333333333333333 (pow N 3))) (sqrt (/ 0.3333333333333333 (pow N 3))) (sqrt (/ 0.3333333333333333 (pow N 3))) (- 0.3333333333333333) (- (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (* (cbrt N) (cbrt N)) 3)) (/ (cbrt 0.3333333333333333) (pow (cbrt N) 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (sqrt N) 3)) (/ (cbrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow 1 3)) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* N N)) (/ (cbrt 0.3333333333333333) N) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* (cbrt (pow N 3)) (cbrt (pow N 3)))) (/ (cbrt 0.3333333333333333) (cbrt (pow N 3))) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (* (cbrt N) (cbrt N)) 3)) (/ (cbrt 0.3333333333333333) (pow (cbrt N) 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow (sqrt N) 3)) (/ (cbrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow 1 3)) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) N) (/ (cbrt 0.3333333333333333) (* N N)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (sqrt (pow N 3))) (/ (cbrt 0.3333333333333333) (sqrt (pow N 3))) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) 1) (/ (cbrt 0.3333333333333333) (pow N 3)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (pow N (/ 3 2))) (/ (cbrt 0.3333333333333333) (pow N (/ 3 2))) (/ (sqrt 0.3333333333333333) (pow (* (cbrt N) (cbrt N)) 3)) (/ (sqrt 0.3333333333333333) (pow (cbrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow 1 3)) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (* (cbrt (pow N 3)) (cbrt (pow N 3)))) (/ (sqrt 0.3333333333333333) (cbrt (pow N 3))) (/ (sqrt 0.3333333333333333) (pow (* (cbrt N) (cbrt N)) 3)) (/ (sqrt 0.3333333333333333) (pow (cbrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow (sqrt N) 3)) (/ (sqrt 0.3333333333333333) (pow 1 3)) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (* N N)) (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (/ (sqrt 0.3333333333333333) (sqrt (pow N 3))) (/ (sqrt 0.3333333333333333) 1) (/ (sqrt 0.3333333333333333) (pow N 3)) (/ (sqrt 0.3333333333333333) (pow N (/ 3 2))) (/ (sqrt 0.3333333333333333) (pow N (/ 3 2))) (/ 1 (pow (* (cbrt N) (cbrt N)) 3)) (/ 0.3333333333333333 (pow (cbrt N) 3)) (/ 1 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) (/ 1 (pow 1 3)) (/ 0.3333333333333333 (pow N 3)) (/ 1 (* N N)) (/ 0.3333333333333333 N) (/ 1 (* (cbrt (pow N 3)) (cbrt (pow N 3)))) (/ 0.3333333333333333 (cbrt (pow N 3))) (/ 1 (pow (* (cbrt N) (cbrt N)) 3)) (/ 0.3333333333333333 (pow (cbrt N) 3)) (/ 1 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) (/ 1 (pow 1 3)) (/ 0.3333333333333333 (pow N 3)) (/ 1 N) (/ 0.3333333333333333 (* N N)) (/ 1 (sqrt (pow N 3))) (/ 0.3333333333333333 (sqrt (pow N 3))) (/ 1 1) (/ 0.3333333333333333 (pow N 3)) (/ 1 (pow N (/ 3 2))) (/ 0.3333333333333333 (pow N (/ 3 2))) (/ 1 (pow N 3)) (/ (pow N 3) 0.3333333333333333) (/ 0.3333333333333333 (pow (* (cbrt N) (cbrt N)) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow 1 3)) (/ 0.3333333333333333 (* N N)) (/ 0.3333333333333333 (* (cbrt (pow N 3)) (cbrt (pow N 3)))) (/ 0.3333333333333333 (pow (* (cbrt N) (cbrt N)) 3)) (/ 0.3333333333333333 (pow (sqrt N) 3)) (/ 0.3333333333333333 (pow 1 3)) (/ 0.3333333333333333 N) (/ 0.3333333333333333 (sqrt (pow N 3))) (/ 0.3333333333333333 1) (/ 0.3333333333333333 (pow N (/ 3 2))) (/ (pow N 3) (cbrt 0.3333333333333333)) (/ (pow N 3) (sqrt 0.3333333333333333)) (/ (pow N 3) 0.3333333333333333) (expm1 (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2))) (log1p (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2))) (log (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2))) (exp (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2))) (cbrt (pow (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- 1.0 (/ 0.5 N)))) 3/2)) (cbrt (pow (cbrt (- 1.0 (/ 0.5 N))) 3/2)) (cbrt (pow (sqrt (- 1.0 (/ 0.5 N))) 3/2)) (cbrt (pow (sqrt (- 1.0 (/ 0.5 N))) 3/2)) (cbrt (pow 1 3/2)) (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2)) (cbrt (pow (+ (sqrt 1.0) (sqrt (/ 0.5 N))) 3/2)) (cbrt (pow (- (sqrt 1.0) (sqrt (/ 0.5 N))) 3/2)) (cbrt (pow (+ (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) 3/2)) (cbrt (pow (- (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) 3/2)) (cbrt (pow 1 3/2)) (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2)) (cbrt (* (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2)) (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2)))) (cbrt (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2))) (cbrt (sqrt (pow (- 1.0 (/ 0.5 N)) 3/2))) (cbrt (sqrt (pow (- 1.0 (/ 0.5 N)) 3/2))) (cbrt 1) (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2)) (cbrt (pow (- 1.0 (/ 0.5 N)) (/ 3/2 2))) (cbrt (pow (- 1.0 (/ 0.5 N)) (/ 3/2 2))) (* (cbrt (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2))) (cbrt (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2)))) (cbrt (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2))) (* (* (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2)) (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2))) (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2))) (sqrt (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2))) (sqrt (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2))) (expm1 (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2))) (log1p (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2))) (log (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2))) (exp (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2))) (cbrt (pow (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- 1.0 (/ 0.5 N)))) 3/2)) (cbrt (pow (cbrt (- 1.0 (/ 0.5 N))) 3/2)) (cbrt (pow (sqrt (- 1.0 (/ 0.5 N))) 3/2)) (cbrt (pow (sqrt (- 1.0 (/ 0.5 N))) 3/2)) (cbrt (pow 1 3/2)) (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2)) (cbrt (pow (+ (sqrt 1.0) (sqrt (/ 0.5 N))) 3/2)) (cbrt (pow (- (sqrt 1.0) (sqrt (/ 0.5 N))) 3/2)) (cbrt (pow (+ (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) 3/2)) (cbrt (pow (- (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) 3/2)) (cbrt (pow 1 3/2)) (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2)) (cbrt (* (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2)) (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2)))) (cbrt (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2))) (cbrt (sqrt (pow (- 1.0 (/ 0.5 N)) 3/2))) (cbrt (sqrt (pow (- 1.0 (/ 0.5 N)) 3/2))) (cbrt 1) (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2)) (cbrt (pow (- 1.0 (/ 0.5 N)) (/ 3/2 2))) (cbrt (pow (- 1.0 (/ 0.5 N)) (/ 3/2 2))) (* (cbrt (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2))) (cbrt (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2)))) (cbrt (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2))) (* (* (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2)) (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2))) (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2))) (sqrt (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2))) (sqrt (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2))) (expm1 (* (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2)) (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2)))) (log1p (* (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2)) (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2)))) (+ 1/3 1/3) (+ 1 1) (* (pow (- 1.0 (/ 0.5 N)) 3/2) (pow (- 1.0 (/ 0.5 N)) 3/2)) (* (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2)) (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2))) (+ 1 1) (+ (log (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2))) (log (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2)))) (log (* (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2)) (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2)))) (exp (* (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2)) (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2)))) (* (pow (- 1.0 (/ 0.5 N)) 3/2) (pow (- 1.0 (/ 0.5 N)) 3/2)) (* (cbrt (* (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2)) (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2)))) (cbrt (* (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2)) (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2))))) (cbrt (* (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2)) (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2)))) (* (* (* (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2)) (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2))) (* (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2)) (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2)))) (* (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2)) (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2)))) (sqrt (* (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2)) (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2)))) (sqrt (* (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2)) (cbrt (pow 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(sqrt 1.0) 3)))))) (- (sqrt 1.0) (+ (* 0.25 (/ 1 (* N (sqrt 1.0)))) (* 0.03125 (/ 1 (* (pow N 2) (pow (sqrt 1.0) 3)))))) (- 1.0 (* 0.5 (/ 1 N))) (- 1.0 (* 0.5 (/ 1 N))) (- 1.0 (* 0.5 (/ 1 N))) 9.254 * * [simplify]: Extracting # 0 : cost 0 9.255 * * [simplify]: Extracting # 1 : cost 0 9.255 * * [simplify]: Extracting # 2 : cost 0 9.256 * * [simplify]: Extracting # 3 : cost 0 9.256 * * [simplify]: Extracting # 4 : cost 0 9.257 * * [simplify]: Extracting # 5 : cost 0 9.257 * * [simplify]: Extracting # 6 : cost 0 9.258 * * [simplify]: Extracting # 7 : cost 0 9.258 * * [simplify]: Extracting # 8 : cost 0 9.259 * * [simplify]: Extracting # 9 : cost 0 9.260 * * [simplify]: iteration 0 : 231 enodes (cost 3419 ) 9.356 * * [simplify]: Extracting # 0 : cost 0 9.357 * * [simplify]: Extracting # 1 : cost 0 9.358 * * [simplify]: Extracting # 2 : cost 0 9.358 * * [simplify]: Extracting # 3 : cost 0 9.359 * * [simplify]: Extracting # 4 : cost 0 9.360 * * [simplify]: iteration 1 : 402 enodes (cost 3045 ) 9.524 * * [simplify]: Extracting # 0 : cost 0 9.526 * * [simplify]: Extracting # 1 : cost 0 9.529 * * [simplify]: Extracting # 2 : cost 0 9.531 * * [simplify]: Extracting # 3 : cost 0 9.533 * * [simplify]: Extracting # 4 : cost 0 9.536 * * [simplify]: iteration 2 : 1061 enodes (cost 2913 ) 10.508 * * [simplify]: Extracting # 0 : cost 0 10.517 * * [simplify]: Extracting # 1 : cost 0 10.527 * * [simplify]: Extracting # 2 : cost 0 10.536 * * [simplify]: Extracting # 3 : cost 0 10.545 * * [simplify]: Extracting # 4 : cost 0 10.554 * * [simplify]: iteration 3 : 4111 enodes (cost 2728 ) 12.080 * * [simplify]: Extracting # 0 : cost 0 12.099 * * [simplify]: Extracting # 1 : cost 0 12.110 * * [simplify]: Extracting # 2 : cost 0 12.121 * * [simplify]: Extracting # 3 : cost 0 12.131 * * [simplify]: iteration done: 5000 enodes (cost 2718 ) 12.134 * [simplify]: Simplified to: (expm1 (/ 0.3333333333333333 (pow N 3))) (log1p (/ 0.3333333333333333 (pow N 3))) (log (/ 0.3333333333333333 (pow N 3))) 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1 (/ 0.3333333333333333 (pow N 3)) (/ 1 N) (/ 0.3333333333333333 (* N N)) (/ 1 (sqrt (pow N 3))) (/ 0.3333333333333333 (sqrt (pow N 3))) 1 (/ 0.3333333333333333 (pow N 3)) (/ 1 (pow N 3/2)) (/ 0.3333333333333333 (pow N 3/2)) (/ 1 (pow N 3)) (/ (pow N 3) 0.3333333333333333) (/ 0.3333333333333333 (* N N)) (/ 0.3333333333333333 (pow (sqrt N) 3)) 0.3333333333333333 (/ 0.3333333333333333 (* N N)) (/ 0.3333333333333333 (* N N)) (/ 0.3333333333333333 (* N N)) (/ 0.3333333333333333 (pow (sqrt N) 3)) 0.3333333333333333 (/ 0.3333333333333333 N) (/ 0.3333333333333333 (sqrt (pow N 3))) 0.3333333333333333 (/ 0.3333333333333333 (pow N 3/2)) (/ (pow N 3) (cbrt 0.3333333333333333)) (/ (pow N 3) (sqrt 0.3333333333333333)) (/ (pow N 3) 0.3333333333333333) (expm1 (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2))) (log1p (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2))) (log (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2))) (exp (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2))) (cbrt (pow (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- 1.0 (/ 0.5 N)))) 3/2)) (cbrt (pow 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(/ 0.5 N)) 3/2))) (log (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2))) (exp (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2))) (cbrt (pow (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- 1.0 (/ 0.5 N)))) 3/2)) (cbrt (pow (cbrt (- 1.0 (/ 0.5 N))) 3/2)) (cbrt (pow (sqrt (- 1.0 (/ 0.5 N))) 3/2)) (cbrt (pow (sqrt (- 1.0 (/ 0.5 N))) 3/2)) 1 (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2)) (cbrt (pow (+ (sqrt 1.0) (sqrt (/ 0.5 N))) 3/2)) (cbrt (pow (- (sqrt 1.0) (sqrt (/ 0.5 N))) 3/2)) (cbrt (pow (+ (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) 3/2)) (cbrt (pow (- (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) 3/2)) 1 (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2)) (cbrt (pow (sqrt (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2))) 4)) (cbrt (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2))) (cbrt (sqrt (pow (- 1.0 (/ 0.5 N)) 3/2))) (cbrt (sqrt (pow (- 1.0 (/ 0.5 N)) 3/2))) 1 (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2)) (cbrt (pow (- 1.0 (/ 0.5 N)) 3/4)) (cbrt (pow (- 1.0 (/ 0.5 N)) 3/4)) (* (cbrt (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2))) (cbrt (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2)))) (cbrt (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2))) (pow (- 1.0 (/ 0.5 N)) 3/2) (sqrt (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2))) (sqrt (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2))) (expm1 (pow (sqrt (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2))) 4)) (log1p (pow (sqrt (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2))) 4)) 2/3 2 (pow (- 1.0 (/ 0.5 N)) 3) (pow (sqrt (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2))) 4) 2 (* 2 (log (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2)))) (* 2 (log (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2)))) (exp (pow (sqrt (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2))) 4)) (pow (- 1.0 (/ 0.5 N)) 3) (* (cbrt (pow (sqrt (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2))) 4)) (cbrt (pow (sqrt (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2))) 4))) (cbrt (pow (sqrt (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2))) 4)) (pow (- 1.0 (/ 0.5 N)) 3) (fabs (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2))) (fabs (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2))) (* (cbrt (pow (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- 1.0 (/ 0.5 N)))) 3/2)) (cbrt (pow (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- 1.0 (/ 0.5 N)))) 3/2))) (* (cbrt (pow (cbrt (- 1.0 (/ 0.5 N))) 3/2)) (cbrt (pow (cbrt (- 1.0 (/ 0.5 N))) 3/2))) (* (cbrt (pow (sqrt (- 1.0 (/ 0.5 N))) 3/2)) (cbrt (pow (sqrt (- 1.0 (/ 0.5 N))) 3/2))) (* (cbrt (pow (sqrt (- 1.0 (/ 0.5 N))) 3/2)) (cbrt (pow (sqrt (- 1.0 (/ 0.5 N))) 3/2))) 1 (pow (sqrt (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2))) 4) 1 (pow (sqrt (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2))) 4) (* (cbrt (pow (+ (sqrt 1.0) (sqrt (/ 0.5 N))) 3/2)) (cbrt (pow (+ (sqrt 1.0) (sqrt (/ 0.5 N))) 3/2))) (* (cbrt (pow (- (sqrt 1.0) (sqrt (/ 0.5 N))) 3/2)) (cbrt (pow (- (sqrt 1.0) (sqrt (/ 0.5 N))) 3/2))) (* (cbrt (pow (+ (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) 3/2)) (cbrt (pow (+ (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) 3/2))) (* (cbrt (pow (- (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) 3/2)) (cbrt (pow (- (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) 3/2))) 1 (pow (sqrt (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2))) 4) 1 (pow (sqrt (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2))) 4) (* (cbrt (pow (sqrt (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2))) 4)) (cbrt (pow (sqrt (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2))) 4))) (* (cbrt (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2))) (cbrt (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2)))) (* (cbrt (sqrt (pow (- 1.0 (/ 0.5 N)) 3/2))) (cbrt (sqrt (pow (- 1.0 (/ 0.5 N)) 3/2)))) (* (cbrt (sqrt (pow (- 1.0 (/ 0.5 N)) 3/2))) (cbrt (sqrt (pow (- 1.0 (/ 0.5 N)) 3/2)))) 1 (pow (sqrt (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2))) 4) (* (cbrt (pow (- 1.0 (/ 0.5 N)) 3/4)) (cbrt (pow (- 1.0 (/ 0.5 N)) 3/4))) (* (cbrt (pow (- 1.0 (/ 0.5 N)) 3/4)) (cbrt (pow (- 1.0 (/ 0.5 N)) 3/4))) (pow (cbrt (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2))) 4) (* (cbrt (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2))) (cbrt (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2)))) (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2)) (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2)) 1 (pow (sqrt (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2))) 4) (* (cbrt (pow (sqrt (- 1.0 (/ 0.5 N))) 3/2)) (cbrt (pow (sqrt (- 1.0 (/ 0.5 N))) 3/2))) (* (cbrt (pow (sqrt (- 1.0 (/ 0.5 N))) 3/2)) (cbrt (pow (sqrt (- 1.0 (/ 0.5 N))) 3/2))) (* (cbrt (sqrt (pow (- 1.0 (/ 0.5 N)) 3/2))) (cbrt (pow (sqrt (- 1.0 (/ 0.5 N))) 3/2))) (* (cbrt (sqrt (pow (- 1.0 (/ 0.5 N)) 3/2))) (cbrt (pow (sqrt (- 1.0 (/ 0.5 N))) 3/2))) (* (cbrt (pow (- 1.0 (/ 0.5 N)) 3/4)) (cbrt (pow (sqrt (- 1.0 (/ 0.5 N))) 3/2))) (* (cbrt (pow (- 1.0 (/ 0.5 N)) 3/4)) (cbrt (pow (sqrt (- 1.0 (/ 0.5 N))) 3/2))) (* (sqrt (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2))) (cbrt (pow (sqrt (- 1.0 (/ 0.5 N))) 3/2))) (* (sqrt (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2))) (cbrt (pow (sqrt (- 1.0 (/ 0.5 N))) 3/2))) (* (cbrt (sqrt (pow (- 1.0 (/ 0.5 N)) 3/2))) (cbrt (pow (sqrt (- 1.0 (/ 0.5 N))) 3/2))) (* (cbrt (sqrt (pow (- 1.0 (/ 0.5 N)) 3/2))) (cbrt (pow (sqrt (- 1.0 (/ 0.5 N))) 3/2))) (* (cbrt (sqrt (pow (- 1.0 (/ 0.5 N)) 3/2))) (cbrt (sqrt (pow (- 1.0 (/ 0.5 N)) 3/2)))) (* (cbrt (sqrt (pow (- 1.0 (/ 0.5 N)) 3/2))) (cbrt (sqrt (pow (- 1.0 (/ 0.5 N)) 3/2)))) (* (cbrt (pow (- 1.0 (/ 0.5 N)) 3/4)) (cbrt (sqrt (pow (- 1.0 (/ 0.5 N)) 3/2)))) (* (cbrt (pow (- 1.0 (/ 0.5 N)) 3/4)) (cbrt (sqrt (pow (- 1.0 (/ 0.5 N)) 3/2)))) (* (sqrt (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2))) (cbrt (sqrt (pow (- 1.0 (/ 0.5 N)) 3/2)))) (* (sqrt (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2))) (cbrt (sqrt (pow (- 1.0 (/ 0.5 N)) 3/2)))) (* (cbrt (pow (- 1.0 (/ 0.5 N)) 3/4)) (cbrt (pow (sqrt (- 1.0 (/ 0.5 N))) 3/2))) (* (cbrt (pow (- 1.0 (/ 0.5 N)) 3/4)) (cbrt (pow (sqrt (- 1.0 (/ 0.5 N))) 3/2))) (* (cbrt (pow (- 1.0 (/ 0.5 N)) 3/4)) (cbrt (sqrt (pow (- 1.0 (/ 0.5 N)) 3/2)))) (* (cbrt (pow (- 1.0 (/ 0.5 N)) 3/4)) (cbrt (sqrt (pow (- 1.0 (/ 0.5 N)) 3/2)))) (* (cbrt (pow (- 1.0 (/ 0.5 N)) 3/4)) (cbrt (pow (- 1.0 (/ 0.5 N)) 3/4))) (* (cbrt (pow (- 1.0 (/ 0.5 N)) 3/4)) (cbrt (pow (- 1.0 (/ 0.5 N)) 3/4))) (* (sqrt (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2))) (cbrt (pow (- 1.0 (/ 0.5 N)) 3/4))) (* (sqrt (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2))) (cbrt (pow (- 1.0 (/ 0.5 N)) 3/4))) (* (sqrt (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2))) (cbrt (pow (sqrt (- 1.0 (/ 0.5 N))) 3/2))) (* (sqrt (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2))) (cbrt (pow (sqrt (- 1.0 (/ 0.5 N))) 3/2))) (* (sqrt (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2))) (cbrt (sqrt (pow (- 1.0 (/ 0.5 N)) 3/2)))) (* (sqrt (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2))) (cbrt (sqrt (pow (- 1.0 (/ 0.5 N)) 3/2)))) (* (sqrt (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2))) (cbrt (pow (- 1.0 (/ 0.5 N)) 3/4))) (* (sqrt (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2))) (cbrt (pow (- 1.0 (/ 0.5 N)) 3/4))) (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2)) (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2)) 2/3 2 (* (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2)) (cbrt (pow (* (cbrt (- 1.0 (/ 0.5 N))) (cbrt (- 1.0 (/ 0.5 N)))) 3/2))) (* (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2)) (cbrt (pow (sqrt (- 1.0 (/ 0.5 N))) 3/2))) (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2)) (* (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2)) (cbrt (pow (+ (sqrt 1.0) (sqrt (/ 0.5 N))) 3/2))) (* (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2)) (cbrt (pow (+ (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) 3/2))) (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2)) (* (cbrt (pow (sqrt (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2))) 4)) (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2))) (* (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2)) (cbrt (sqrt (pow (- 1.0 (/ 0.5 N)) 3/2)))) (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2)) (* (cbrt (pow (- 1.0 (/ 0.5 N)) 3/4)) (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2))) (pow (cbrt (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2))) (+ 4 1)) (pow (sqrt (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2))) 3) (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2)) (* (cbrt (pow (cbrt (- 1.0 (/ 0.5 N))) 3/2)) (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2))) (* (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2)) (cbrt (pow (sqrt (- 1.0 (/ 0.5 N))) 3/2))) (pow (sqrt (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2))) 4) (* (cbrt (pow (- (sqrt 1.0) (sqrt (/ 0.5 N))) 3/2)) (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2))) (* (cbrt (pow (- (sqrt 1.0) (/ (sqrt 0.5) (sqrt N))) 3/2)) (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2))) (pow (sqrt (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2))) 4) (pow (cbrt (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2))) 4) (* (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2)) (cbrt (sqrt (pow (- 1.0 (/ 0.5 N)) 3/2)))) (pow (sqrt (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2))) 4) (* (cbrt (pow (- 1.0 (/ 0.5 N)) 3/4)) (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2))) (pow (cbrt (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2))) 4) (pow (sqrt (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2))) 3) (pow (sqrt (cbrt (pow (- 1.0 (/ 0.5 N)) 3/2))) 4) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (- (fma N (- (* +nan.0 N) +nan.0) +nan.0)) (- (sqrt 1.0) (+ (/ 0.03125 (* (pow N 2) (pow (sqrt 1.0) 3))) (/ 0.25 (* N (sqrt 1.0))))) (- (sqrt 1.0) (+ (/ 0.03125 (* (pow N 2) (pow (sqrt 1.0) 3))) (/ 0.25 (* N (sqrt 1.0))))) (- (fma N (- (* +nan.0 N) +nan.0) +nan.0)) (- (sqrt 1.0) (+ (/ 0.03125 (* (pow N 2) (pow (sqrt 1.0) 3))) (/ 0.25 (* N (sqrt 1.0))))) (- (sqrt 1.0) (+ (/ 0.03125 (* (pow N 2) (pow (sqrt 1.0) 3))) (/ 0.25 (* N (sqrt 1.0))))) (- 1.0 (/ 0.5 N)) (- 1.0 (/ 0.5 N)) (- 1.0 (/ 0.5 N)) 12.137 * * * [progress]: adding candidates to table 12.979 * [progress]: [Phase 3 of 3] Extracting. 12.979 * * [regime]: Finding splitpoints for: (# # #) 12.979 * * * [regime-changes]: Trying 1 branch expressions: (N) 12.979 * * * * [regimes]: Trying to branch on N from (# # #) 13.004 * * * [regime]: Found split indices: #