18.224 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.061 * * * [progress]: [2/2] Setting up program. 0.064 * [progress]: [Phase 2 of 3] Improving. 0.065 * [simplify]: Simplifying: (- (log (+ N 1.0)) (log N)) 0.065 * * [simplify]: Extracting # 0 : cost 0 0.065 * * [simplify]: Extracting # 1 : cost 0 0.065 * * [simplify]: Extracting # 2 : cost 0 0.065 * * [simplify]: Extracting # 3 : cost 0 0.065 * * [simplify]: Extracting # 4 : cost 0 0.065 * * [simplify]: Extracting # 5 : cost 0 0.065 * * [simplify]: iteration 0 : 6 enodes (cost 7 ) 0.067 * * [simplify]: Extracting # 0 : cost 0 0.067 * * [simplify]: Extracting # 1 : cost 0 0.067 * * [simplify]: Extracting # 2 : cost 0 0.067 * * [simplify]: iteration 1 : 9 enodes (cost 7 ) 0.070 * * [simplify]: Extracting # 0 : cost 0 0.070 * * [simplify]: iteration 2 : 10 enodes (cost 7 ) 0.073 * * [simplify]: Extracting # 0 : cost 0 0.073 * * [simplify]: iteration done: 10 enodes (cost 7 ) 0.073 * [simplify]: Simplified to: (- (log (+ N 1.0)) (log N)) 0.074 * * [progress]: iteration 1 / 4 0.074 * * * [progress]: picking best candidate 0.077 * * * * [pick]: Picked # 0.077 * * * [progress]: localizing error 0.086 * * * [progress]: generating rewritten candidates 0.086 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.105 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.124 * * * [progress]: generating series expansions 0.124 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.124 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 0.124 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.124 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.124 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.124 * [taylor]: Taking taylor expansion of N in N 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify 1 into 1 0.124 * [taylor]: Taking taylor expansion of 1.0 in N 0.124 * [backup-simplify]: Simplify 1.0 into 1.0 0.125 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.125 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.125 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.125 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.125 * [taylor]: Taking taylor expansion of N in N 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 1 into 1 0.125 * [taylor]: Taking taylor expansion of 1.0 in N 0.125 * [backup-simplify]: Simplify 1.0 into 1.0 0.125 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.126 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.126 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.127 * [backup-simplify]: Simplify (+ 1 0) into 1 0.130 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.130 * [backup-simplify]: Simplify 1.0 into 1.0 0.132 * [backup-simplify]: Simplify (+ 0 0) into 0 0.139 * [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)) 0.140 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.142 * [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)))) 0.142 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 0.142 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.142 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.142 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.143 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.143 * [taylor]: Taking taylor expansion of N in N 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 1 into 1 0.143 * [backup-simplify]: Simplify (/ 1 1) into 1 0.143 * [taylor]: Taking taylor expansion of 1.0 in N 0.143 * [backup-simplify]: Simplify 1.0 into 1.0 0.144 * [backup-simplify]: Simplify (+ 1 0) into 1 0.144 * [backup-simplify]: Simplify (log 1) into 0 0.144 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.144 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.144 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.144 * [taylor]: Taking taylor expansion of N in N 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify 1 into 1 0.144 * [backup-simplify]: Simplify (/ 1 1) into 1 0.144 * [taylor]: Taking taylor expansion of 1.0 in N 0.145 * [backup-simplify]: Simplify 1.0 into 1.0 0.145 * [backup-simplify]: Simplify (+ 1 0) into 1 0.145 * [backup-simplify]: Simplify (log 1) into 0 0.146 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.146 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.147 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.154 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.154 * [backup-simplify]: Simplify 1.0 into 1.0 0.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.155 * [backup-simplify]: Simplify (+ 0 0) into 0 0.164 * [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 0.164 * [backup-simplify]: Simplify -0.5 into -0.5 0.164 * [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)))) 0.165 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 0.165 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.165 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.165 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.165 * [taylor]: Taking taylor expansion of 1.0 in N 0.165 * [backup-simplify]: Simplify 1.0 into 1.0 0.165 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.165 * [taylor]: Taking taylor expansion of N in N 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify 1 into 1 0.165 * [backup-simplify]: Simplify (/ 1 1) into 1 0.165 * [backup-simplify]: Simplify (- 1) into -1 0.166 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.166 * [backup-simplify]: Simplify (log -1) into (log -1) 0.166 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.166 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.166 * [taylor]: Taking taylor expansion of 1.0 in N 0.166 * [backup-simplify]: Simplify 1.0 into 1.0 0.166 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.166 * [taylor]: Taking taylor expansion of N in N 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 1 into 1 0.166 * [backup-simplify]: Simplify (/ 1 1) into 1 0.166 * [backup-simplify]: Simplify (- 1) into -1 0.167 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.167 * [backup-simplify]: Simplify (log -1) into (log -1) 0.168 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.168 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.169 * [backup-simplify]: Simplify (- 0) into 0 0.169 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.173 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.173 * [backup-simplify]: Simplify -1.0 into -1.0 0.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.174 * [backup-simplify]: Simplify (- 0) into 0 0.174 * [backup-simplify]: Simplify (+ 0 0) into 0 0.180 * [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 0.180 * [backup-simplify]: Simplify -0.5 into -0.5 0.181 * [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)))) 0.181 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.181 * [backup-simplify]: Simplify (- (log (+ N 1.0)) (log N)) into (- (log (+ N 1.0)) (log N)) 0.181 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.181 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.181 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.181 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.181 * [taylor]: Taking taylor expansion of N in N 0.181 * [backup-simplify]: Simplify 0 into 0 0.181 * [backup-simplify]: Simplify 1 into 1 0.181 * [taylor]: Taking taylor expansion of 1.0 in N 0.181 * [backup-simplify]: Simplify 1.0 into 1.0 0.182 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.182 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.182 * [taylor]: Taking taylor expansion of (log N) in N 0.182 * [taylor]: Taking taylor expansion of N in N 0.182 * [backup-simplify]: Simplify 0 into 0 0.182 * [backup-simplify]: Simplify 1 into 1 0.182 * [backup-simplify]: Simplify (log 1) into 0 0.182 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.182 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.182 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.182 * [taylor]: Taking taylor expansion of N in N 0.182 * [backup-simplify]: Simplify 0 into 0 0.182 * [backup-simplify]: Simplify 1 into 1 0.182 * [taylor]: Taking taylor expansion of 1.0 in N 0.182 * [backup-simplify]: Simplify 1.0 into 1.0 0.183 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.183 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.183 * [taylor]: Taking taylor expansion of (log N) in N 0.183 * [taylor]: Taking taylor expansion of N in N 0.183 * [backup-simplify]: Simplify 0 into 0 0.183 * [backup-simplify]: Simplify 1 into 1 0.183 * [backup-simplify]: Simplify (log 1) into 0 0.183 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.184 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.184 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N)) 0.184 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.184 * [backup-simplify]: Simplify (+ 1 0) into 1 0.187 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.188 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.188 * [backup-simplify]: Simplify (- 0) into 0 0.189 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.189 * [backup-simplify]: Simplify 1.0 into 1.0 0.189 * [backup-simplify]: Simplify (+ 0 0) into 0 0.199 * [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)) 0.201 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.201 * [backup-simplify]: Simplify (- 0) into 0 0.202 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.204 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.206 * [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))) 0.206 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) 0.206 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.206 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.206 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.206 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.206 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.206 * [taylor]: Taking taylor expansion of N in N 0.206 * [backup-simplify]: Simplify 0 into 0 0.206 * [backup-simplify]: Simplify 1 into 1 0.206 * [backup-simplify]: Simplify (/ 1 1) into 1 0.206 * [taylor]: Taking taylor expansion of 1.0 in N 0.206 * [backup-simplify]: Simplify 1.0 into 1.0 0.207 * [backup-simplify]: Simplify (+ 1 0) into 1 0.207 * [backup-simplify]: Simplify (log 1) into 0 0.207 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.207 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.207 * [taylor]: Taking taylor expansion of N in N 0.207 * [backup-simplify]: Simplify 0 into 0 0.207 * [backup-simplify]: Simplify 1 into 1 0.207 * [backup-simplify]: Simplify (/ 1 1) into 1 0.207 * [backup-simplify]: Simplify (log 1) into 0 0.208 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.208 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.208 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.208 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.208 * [taylor]: Taking taylor expansion of N in N 0.208 * [backup-simplify]: Simplify 0 into 0 0.208 * [backup-simplify]: Simplify 1 into 1 0.208 * [backup-simplify]: Simplify (/ 1 1) into 1 0.208 * [taylor]: Taking taylor expansion of 1.0 in N 0.208 * [backup-simplify]: Simplify 1.0 into 1.0 0.208 * [backup-simplify]: Simplify (+ 1 0) into 1 0.208 * [backup-simplify]: Simplify (log 1) into 0 0.208 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.208 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.208 * [taylor]: Taking taylor expansion of N in N 0.208 * [backup-simplify]: Simplify 0 into 0 0.208 * [backup-simplify]: Simplify 1 into 1 0.209 * [backup-simplify]: Simplify (/ 1 1) into 1 0.209 * [backup-simplify]: Simplify (log 1) into 0 0.209 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.210 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.210 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.210 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.210 * [backup-simplify]: Simplify 0 into 0 0.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.210 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.214 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.215 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.215 * [backup-simplify]: Simplify (- 0) into 0 0.216 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.216 * [backup-simplify]: Simplify 1.0 into 1.0 0.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.216 * [backup-simplify]: Simplify (+ 0 0) into 0 0.223 * [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 0.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.225 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.225 * [backup-simplify]: Simplify (- 0) into 0 0.226 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.226 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.227 * [backup-simplify]: Simplify (+ 0 0) into 0 0.237 * [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 0.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.240 * [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 0.240 * [backup-simplify]: Simplify (- 0) into 0 0.241 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.241 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.241 * [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)))) 0.241 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1.0)) (log (/ 1 (- N)))) into (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) 0.241 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.241 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.241 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.241 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.241 * [taylor]: Taking taylor expansion of 1.0 in N 0.241 * [backup-simplify]: Simplify 1.0 into 1.0 0.241 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.241 * [taylor]: Taking taylor expansion of N in N 0.241 * [backup-simplify]: Simplify 0 into 0 0.241 * [backup-simplify]: Simplify 1 into 1 0.242 * [backup-simplify]: Simplify (/ 1 1) into 1 0.242 * [backup-simplify]: Simplify (- 1) into -1 0.242 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.243 * [backup-simplify]: Simplify (log -1) into (log -1) 0.243 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.243 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.243 * [taylor]: Taking taylor expansion of -1 in N 0.243 * [backup-simplify]: Simplify -1 into -1 0.243 * [taylor]: Taking taylor expansion of N in N 0.243 * [backup-simplify]: Simplify 0 into 0 0.243 * [backup-simplify]: Simplify 1 into 1 0.243 * [backup-simplify]: Simplify (/ -1 1) into -1 0.243 * [backup-simplify]: Simplify (log -1) into (log -1) 0.243 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.243 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.243 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.243 * [taylor]: Taking taylor expansion of 1.0 in N 0.243 * [backup-simplify]: Simplify 1.0 into 1.0 0.243 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.243 * [taylor]: Taking taylor expansion of N in N 0.243 * [backup-simplify]: Simplify 0 into 0 0.243 * [backup-simplify]: Simplify 1 into 1 0.244 * [backup-simplify]: Simplify (/ 1 1) into 1 0.244 * [backup-simplify]: Simplify (- 1) into -1 0.244 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.244 * [backup-simplify]: Simplify (log -1) into (log -1) 0.244 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.245 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.245 * [taylor]: Taking taylor expansion of -1 in N 0.245 * [backup-simplify]: Simplify -1 into -1 0.245 * [taylor]: Taking taylor expansion of N in N 0.245 * [backup-simplify]: Simplify 0 into 0 0.245 * [backup-simplify]: Simplify 1 into 1 0.245 * [backup-simplify]: Simplify (/ -1 1) into -1 0.245 * [backup-simplify]: Simplify (log -1) into (log -1) 0.246 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.246 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.247 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.247 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.247 * [backup-simplify]: Simplify 0 into 0 0.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.248 * [backup-simplify]: Simplify (- 0) into 0 0.248 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.253 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.253 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.254 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.254 * [backup-simplify]: Simplify (- 0) into 0 0.254 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 0.255 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.255 * [backup-simplify]: Simplify (- 0) into 0 0.256 * [backup-simplify]: Simplify (+ 0 0) into 0 0.262 * [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 0.263 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.265 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.266 * [backup-simplify]: Simplify (- 0) into 0 0.266 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.267 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.268 * [backup-simplify]: Simplify (- 0) into 0 0.269 * [backup-simplify]: Simplify (+ 0 0) into 0 0.289 * [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 0.290 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.295 * [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 0.296 * [backup-simplify]: Simplify (- 0) into 0 0.297 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333) 0.297 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.304 * [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)))) 0.304 * * * [progress]: simplifying candidates 0.307 * [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)))) 0.310 * * [simplify]: Extracting # 0 : cost 0 0.311 * * [simplify]: Extracting # 1 : cost 0 0.311 * * [simplify]: Extracting # 2 : cost 0 0.311 * * [simplify]: Extracting # 3 : cost 0 0.312 * * [simplify]: Extracting # 4 : cost 0 0.312 * * [simplify]: Extracting # 5 : cost 0 0.313 * * [simplify]: Extracting # 6 : cost 0 0.313 * * [simplify]: Extracting # 7 : cost 0 0.313 * * [simplify]: Extracting # 8 : cost 0 0.314 * * [simplify]: Extracting # 9 : cost 0 0.314 * * [simplify]: iteration 0 : 127 enodes (cost 1052 ) 0.376 * * [simplify]: Extracting # 0 : cost 0 0.376 * * [simplify]: Extracting # 1 : cost 0 0.377 * * [simplify]: Extracting # 2 : cost 0 0.378 * * [simplify]: Extracting # 3 : cost 0 0.378 * * [simplify]: Extracting # 4 : cost 0 0.379 * * [simplify]: iteration 1 : 277 enodes (cost 855 ) 0.522 * * [simplify]: Extracting # 0 : cost 0 0.528 * * [simplify]: Extracting # 1 : cost 0 0.529 * * [simplify]: Extracting # 2 : cost 0 0.530 * * [simplify]: Extracting # 3 : cost 0 0.531 * * [simplify]: Extracting # 4 : cost 0 0.533 * * [simplify]: iteration 2 : 668 enodes (cost 705 ) 1.019 * * [simplify]: Extracting # 0 : cost 0 1.022 * * [simplify]: Extracting # 1 : cost 0 1.024 * * [simplify]: Extracting # 2 : cost 0 1.026 * * [simplify]: Extracting # 3 : cost 0 1.028 * * [simplify]: iteration 3 : 2055 enodes (cost 614 ) 3.590 * * [simplify]: Extracting # 0 : cost 0 3.604 * * [simplify]: Extracting # 1 : cost 0 3.613 * * [simplify]: Extracting # 2 : cost 0 3.629 * * [simplify]: Extracting # 3 : cost 0 3.639 * * [simplify]: Extracting # 4 : cost 0 3.648 * * [simplify]: iteration done: 5000 enodes (cost 592 ) 3.649 * [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))) 3.650 * * * [progress]: adding candidates to table 3.814 * * [progress]: iteration 2 / 4 3.814 * * * [progress]: picking best candidate 3.821 * * * * [pick]: Picked # 3.821 * * * [progress]: localizing error 3.846 * * * [progress]: generating rewritten candidates 3.846 * * * * [progress]: [ 1 / 3 ] rewriting at (2 3) 3.866 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 3.867 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 3.902 * * * [progress]: generating series expansions 3.902 * * * * [progress]: [ 1 / 3 ] generating series at (2 3) 3.902 * [backup-simplify]: Simplify (/ 0.3333333333333333 (pow N 3)) into (/ 0.3333333333333333 (pow N 3)) 3.902 * [approximate]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in (N) around 0 3.902 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 3.903 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.903 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.903 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.903 * [taylor]: Taking taylor expansion of N in N 3.903 * [backup-simplify]: Simplify 0 into 0 3.903 * [backup-simplify]: Simplify 1 into 1 3.904 * [backup-simplify]: Simplify (* 1 1) into 1 3.904 * [backup-simplify]: Simplify (* 1 1) into 1 3.905 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 3.905 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 3.905 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.905 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.905 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.905 * [taylor]: Taking taylor expansion of N in N 3.905 * [backup-simplify]: Simplify 0 into 0 3.905 * [backup-simplify]: Simplify 1 into 1 3.905 * [backup-simplify]: Simplify (* 1 1) into 1 3.906 * [backup-simplify]: Simplify (* 1 1) into 1 3.906 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 3.906 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.907 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.908 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.909 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)))) into 0 3.909 * [backup-simplify]: Simplify 0 into 0 3.910 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.911 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.912 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.912 * [backup-simplify]: Simplify 0 into 0 3.913 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.914 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.915 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.915 * [backup-simplify]: Simplify 0 into 0 3.916 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.917 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.918 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.918 * [backup-simplify]: Simplify 0 into 0 3.919 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.920 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.921 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.921 * [backup-simplify]: Simplify 0 into 0 3.922 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.922 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.923 * [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 3.923 * [backup-simplify]: Simplify 0 into 0 3.923 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 3)) into (/ 0.3333333333333333 (pow N 3)) 3.923 * [backup-simplify]: Simplify (/ 0.3333333333333333 (pow (/ 1 N) 3)) into (* 0.3333333333333333 (pow N 3)) 3.923 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in (N) around 0 3.923 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.923 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.923 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.924 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.924 * [taylor]: Taking taylor expansion of N in N 3.924 * [backup-simplify]: Simplify 0 into 0 3.924 * [backup-simplify]: Simplify 1 into 1 3.924 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.924 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.924 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.924 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.924 * [taylor]: Taking taylor expansion of N in N 3.924 * [backup-simplify]: Simplify 0 into 0 3.924 * [backup-simplify]: Simplify 1 into 1 3.924 * [backup-simplify]: Simplify (* 1 1) into 1 3.924 * [backup-simplify]: Simplify (* 1 1) into 1 3.925 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 3.925 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.925 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.926 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.926 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 3.926 * [backup-simplify]: Simplify 0 into 0 3.926 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.927 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.928 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 3.928 * [backup-simplify]: Simplify 0 into 0 3.928 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.929 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.929 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.929 * [backup-simplify]: Simplify 0 into 0 3.930 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.931 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.931 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.931 * [backup-simplify]: Simplify 0 into 0 3.932 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.933 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.934 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.934 * [backup-simplify]: Simplify 0 into 0 3.935 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.935 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.936 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.936 * [backup-simplify]: Simplify 0 into 0 3.937 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 3)) into (/ 0.3333333333333333 (pow N 3)) 3.937 * [backup-simplify]: Simplify (/ 0.3333333333333333 (pow (/ 1 (- N)) 3)) into (* -0.3333333333333333 (pow N 3)) 3.937 * [approximate]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in (N) around 0 3.937 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 3.937 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 3.937 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 3.937 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.937 * [taylor]: Taking taylor expansion of N in N 3.937 * [backup-simplify]: Simplify 0 into 0 3.937 * [backup-simplify]: Simplify 1 into 1 3.937 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 3.937 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 3.937 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 3.937 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.937 * [taylor]: Taking taylor expansion of N in N 3.937 * [backup-simplify]: Simplify 0 into 0 3.937 * [backup-simplify]: Simplify 1 into 1 3.937 * [backup-simplify]: Simplify (* 1 1) into 1 3.937 * [backup-simplify]: Simplify (* 1 1) into 1 3.938 * [backup-simplify]: Simplify (* -0.3333333333333333 1) into -0.3333333333333333 3.938 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 3.938 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.938 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.939 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (* 0 1)) into 0 3.939 * [backup-simplify]: Simplify 0 into 0 3.939 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.940 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.941 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 3.941 * [backup-simplify]: Simplify 0 into 0 3.941 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.942 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.942 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.942 * [backup-simplify]: Simplify 0 into 0 3.943 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.944 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.945 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.945 * [backup-simplify]: Simplify 0 into 0 3.945 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.946 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.947 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 3.947 * [backup-simplify]: Simplify 0 into 0 3.949 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.950 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.952 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 3.952 * [backup-simplify]: Simplify 0 into 0 3.952 * [backup-simplify]: Simplify (* -0.3333333333333333 (pow (/ 1 (- N)) 3)) into (/ 0.3333333333333333 (pow N 3)) 3.952 * * * * [progress]: [ 2 / 3 ] generating series at (2) 3.953 * [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))) 3.953 * [approximate]: Taking taylor expansion of (fma (/ 1 N) (- 1.0 (* 0.5 (/ 1 N))) (/ 0.3333333333333333 (pow N 3))) in (N) around 0 3.953 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (- 1.0 (* 0.5 (/ 1 N))) (/ 0.3333333333333333 (pow N 3))) in N 3.953 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (- 1.0 (* 0.5 (/ 1 N)))) (/ 0.3333333333333333 (pow N 3))) 3.953 * [taylor]: Taking taylor expansion of (* (/ 1 N) (- 1.0 (* 0.5 (/ 1 N)))) in N 3.953 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.953 * [taylor]: Taking taylor expansion of N in N 3.953 * [backup-simplify]: Simplify 0 into 0 3.953 * [backup-simplify]: Simplify 1 into 1 3.954 * [backup-simplify]: Simplify (/ 1 1) into 1 3.954 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 (/ 1 N))) in N 3.954 * [taylor]: Taking taylor expansion of 1.0 in N 3.954 * [backup-simplify]: Simplify 1.0 into 1.0 3.954 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 N)) in N 3.954 * [taylor]: Taking taylor expansion of 0.5 in N 3.954 * [backup-simplify]: Simplify 0.5 into 0.5 3.954 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.954 * [taylor]: Taking taylor expansion of N in N 3.954 * [backup-simplify]: Simplify 0 into 0 3.954 * [backup-simplify]: Simplify 1 into 1 3.954 * [backup-simplify]: Simplify (/ 1 1) into 1 3.954 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 3.954 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.954 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.954 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.954 * [taylor]: Taking taylor expansion of N in N 3.955 * [backup-simplify]: Simplify 0 into 0 3.955 * [backup-simplify]: Simplify 1 into 1 3.955 * [backup-simplify]: Simplify (* 1 1) into 1 3.955 * [backup-simplify]: Simplify (* 1 1) into 1 3.956 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 3.956 * [taylor]: Taking taylor expansion of (fma (/ 1 N) (- 1.0 (* 0.5 (/ 1 N))) (/ 0.3333333333333333 (pow N 3))) in N 3.956 * [taylor]: Rewrote expression to (+ (* (/ 1 N) (- 1.0 (* 0.5 (/ 1 N)))) (/ 0.3333333333333333 (pow N 3))) 3.956 * [taylor]: Taking taylor expansion of (* (/ 1 N) (- 1.0 (* 0.5 (/ 1 N)))) in N 3.956 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.956 * [taylor]: Taking taylor expansion of N in N 3.956 * [backup-simplify]: Simplify 0 into 0 3.956 * [backup-simplify]: Simplify 1 into 1 3.957 * [backup-simplify]: Simplify (/ 1 1) into 1 3.957 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 (/ 1 N))) in N 3.957 * [taylor]: Taking taylor expansion of 1.0 in N 3.957 * [backup-simplify]: Simplify 1.0 into 1.0 3.957 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 N)) in N 3.957 * [taylor]: Taking taylor expansion of 0.5 in N 3.957 * [backup-simplify]: Simplify 0.5 into 0.5 3.957 * [taylor]: Taking taylor expansion of (/ 1 N) in N 3.957 * [taylor]: Taking taylor expansion of N in N 3.957 * [backup-simplify]: Simplify 0 into 0 3.957 * [backup-simplify]: Simplify 1 into 1 3.957 * [backup-simplify]: Simplify (/ 1 1) into 1 3.957 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 3.957 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.957 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.957 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.958 * [taylor]: Taking taylor expansion of N in N 3.958 * [backup-simplify]: Simplify 0 into 0 3.958 * [backup-simplify]: Simplify 1 into 1 3.958 * [backup-simplify]: Simplify (* 1 1) into 1 3.958 * [backup-simplify]: Simplify (* 1 1) into 1 3.959 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 3.959 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 3.959 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.960 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 3.960 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.961 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 3.962 * [backup-simplify]: Simplify (* 1 (- 0.5)) into -0.5 3.963 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.963 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.964 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)))) into 0 3.965 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 3.965 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.966 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.967 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 3.967 * [backup-simplify]: Simplify (- 0) into 0 3.967 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.970 * [backup-simplify]: Simplify (+ (* 1 1.0) (* 0 (- 0.5))) into 1.0 3.971 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.972 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.973 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.974 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.974 * [backup-simplify]: Simplify 1.0 into 1.0 3.976 * [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)))) 3.976 * [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))) 3.976 * [approximate]: Taking taylor expansion of (fma N (- 1.0 (* 0.5 N)) (* 0.3333333333333333 (pow N 3))) in (N) around 0 3.976 * [taylor]: Taking taylor expansion of (fma N (- 1.0 (* 0.5 N)) (* 0.3333333333333333 (pow N 3))) in N 3.976 * [taylor]: Rewrote expression to (+ (* N (- 1.0 (* 0.5 N))) (* 0.3333333333333333 (pow N 3))) 3.976 * [taylor]: Taking taylor expansion of (* N (- 1.0 (* 0.5 N))) in N 3.976 * [taylor]: Taking taylor expansion of N in N 3.976 * [backup-simplify]: Simplify 0 into 0 3.976 * [backup-simplify]: Simplify 1 into 1 3.977 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 N)) in N 3.977 * [taylor]: Taking taylor expansion of 1.0 in N 3.977 * [backup-simplify]: Simplify 1.0 into 1.0 3.977 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 3.977 * [taylor]: Taking taylor expansion of 0.5 in N 3.977 * [backup-simplify]: Simplify 0.5 into 0.5 3.977 * [taylor]: Taking taylor expansion of N in N 3.977 * [backup-simplify]: Simplify 0 into 0 3.977 * [backup-simplify]: Simplify 1 into 1 3.977 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.977 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.977 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.977 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.977 * [taylor]: Taking taylor expansion of N in N 3.977 * [backup-simplify]: Simplify 0 into 0 3.977 * [backup-simplify]: Simplify 1 into 1 3.977 * [taylor]: Taking taylor expansion of (fma N (- 1.0 (* 0.5 N)) (* 0.3333333333333333 (pow N 3))) in N 3.977 * [taylor]: Rewrote expression to (+ (* N (- 1.0 (* 0.5 N))) (* 0.3333333333333333 (pow N 3))) 3.977 * [taylor]: Taking taylor expansion of (* N (- 1.0 (* 0.5 N))) in N 3.977 * [taylor]: Taking taylor expansion of N in N 3.977 * [backup-simplify]: Simplify 0 into 0 3.977 * [backup-simplify]: Simplify 1 into 1 3.977 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 N)) in N 3.977 * [taylor]: Taking taylor expansion of 1.0 in N 3.977 * [backup-simplify]: Simplify 1.0 into 1.0 3.977 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 3.977 * [taylor]: Taking taylor expansion of 0.5 in N 3.978 * [backup-simplify]: Simplify 0.5 into 0.5 3.978 * [taylor]: Taking taylor expansion of N in N 3.978 * [backup-simplify]: Simplify 0 into 0 3.978 * [backup-simplify]: Simplify 1 into 1 3.978 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 3.978 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 3.978 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.978 * [taylor]: Taking taylor expansion of (pow N 3) in N 3.978 * [taylor]: Taking taylor expansion of N in N 3.978 * [backup-simplify]: Simplify 0 into 0 3.978 * [backup-simplify]: Simplify 1 into 1 3.978 * [backup-simplify]: Simplify (* 0.5 0) into 0 3.979 * [backup-simplify]: Simplify (- 0) into 0 3.979 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.980 * [backup-simplify]: Simplify (* 0 1.0) into 0 3.980 * [backup-simplify]: Simplify (+ 0 0) into 0 3.980 * [backup-simplify]: Simplify 0 into 0 3.981 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 3.982 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.983 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 3.985 * [backup-simplify]: Simplify (+ (* 0 (- 0.5)) (* 1 1.0)) into 1.0 3.985 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 3.985 * [backup-simplify]: Simplify 1.0 into 1.0 3.986 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 3.987 * [backup-simplify]: Simplify (- 0) into 0 3.987 * [backup-simplify]: Simplify (+ 0 0) into 0 3.991 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (- 0.5)) (* 0 1.0))) into (- 0.5) 3.991 * [backup-simplify]: Simplify (+ (- 0.5) 0) into (- 0.5) 3.992 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 3.993 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.994 * [backup-simplify]: Simplify (- 0) into 0 3.994 * [backup-simplify]: Simplify (+ 0 0) into 0 3.995 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (- 0.5)) (* 0 1.0)))) into 0 3.996 * [backup-simplify]: Simplify (* 1 1) into 1 3.996 * [backup-simplify]: Simplify (* 1 1) into 1 3.997 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 3.997 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 3.997 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 3.998 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 N) 3)) (+ (* (- 0.5) (pow (/ 1 N) 2)) (* 1.0 (/ 1 N)))) into (- (+ (* 0.3333333333333333 (/ 1 (pow N 3))) (* 1.0 (/ 1 N))) (* 0.5 (/ 1 (pow N 2)))) 3.999 * [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))) 3.999 * [approximate]: Taking taylor expansion of (fma (* -1 N) (+ (* 0.5 N) 1.0) (* -0.3333333333333333 (pow N 3))) in (N) around 0 3.999 * [taylor]: Taking taylor expansion of (fma (* -1 N) (+ (* 0.5 N) 1.0) (* -0.3333333333333333 (pow N 3))) in N 3.999 * [taylor]: Rewrote expression to (+ (* (* -1 N) (+ (* 0.5 N) 1.0)) (* -0.3333333333333333 (pow N 3))) 3.999 * [taylor]: Taking taylor expansion of (* (* -1 N) (+ (* 0.5 N) 1.0)) in N 3.999 * [taylor]: Taking taylor expansion of (* -1 N) in N 3.999 * [taylor]: Taking taylor expansion of -1 in N 3.999 * [backup-simplify]: Simplify -1 into -1 3.999 * [taylor]: Taking taylor expansion of N in N 3.999 * [backup-simplify]: Simplify 0 into 0 3.999 * [backup-simplify]: Simplify 1 into 1 3.999 * [taylor]: Taking taylor expansion of (+ (* 0.5 N) 1.0) in N 3.999 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 3.999 * [taylor]: Taking taylor expansion of 0.5 in N 3.999 * [backup-simplify]: Simplify 0.5 into 0.5 3.999 * [taylor]: Taking taylor expansion of N in N 3.999 * [backup-simplify]: Simplify 0 into 0 3.999 * [backup-simplify]: Simplify 1 into 1 3.999 * [taylor]: Taking taylor expansion of 1.0 in N 3.999 * [backup-simplify]: Simplify 1.0 into 1.0 3.999 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 3.999 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 3.999 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 4.000 * [taylor]: Taking taylor expansion of (pow N 3) in N 4.000 * [taylor]: Taking taylor expansion of N in N 4.000 * [backup-simplify]: Simplify 0 into 0 4.000 * [backup-simplify]: Simplify 1 into 1 4.000 * [taylor]: Taking taylor expansion of (fma (* -1 N) (+ (* 0.5 N) 1.0) (* -0.3333333333333333 (pow N 3))) in N 4.000 * [taylor]: Rewrote expression to (+ (* (* -1 N) (+ (* 0.5 N) 1.0)) (* -0.3333333333333333 (pow N 3))) 4.000 * [taylor]: Taking taylor expansion of (* (* -1 N) (+ (* 0.5 N) 1.0)) in N 4.000 * [taylor]: Taking taylor expansion of (* -1 N) in N 4.000 * [taylor]: Taking taylor expansion of -1 in N 4.000 * [backup-simplify]: Simplify -1 into -1 4.000 * [taylor]: Taking taylor expansion of N in N 4.000 * [backup-simplify]: Simplify 0 into 0 4.000 * [backup-simplify]: Simplify 1 into 1 4.000 * [taylor]: Taking taylor expansion of (+ (* 0.5 N) 1.0) in N 4.000 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 4.000 * [taylor]: Taking taylor expansion of 0.5 in N 4.000 * [backup-simplify]: Simplify 0.5 into 0.5 4.000 * [taylor]: Taking taylor expansion of N in N 4.000 * [backup-simplify]: Simplify 0 into 0 4.000 * [backup-simplify]: Simplify 1 into 1 4.000 * [taylor]: Taking taylor expansion of 1.0 in N 4.000 * [backup-simplify]: Simplify 1.0 into 1.0 4.000 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 4.000 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 4.000 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 4.000 * [taylor]: Taking taylor expansion of (pow N 3) in N 4.000 * [taylor]: Taking taylor expansion of N in N 4.000 * [backup-simplify]: Simplify 0 into 0 4.000 * [backup-simplify]: Simplify 1 into 1 4.001 * [backup-simplify]: Simplify (* -1 0) into 0 4.002 * [backup-simplify]: Simplify (* 0.5 0) into 0 4.002 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.002 * [backup-simplify]: Simplify (* 0 1.0) into 0 4.003 * [backup-simplify]: Simplify (+ 0 0) into 0 4.003 * [backup-simplify]: Simplify 0 into 0 4.004 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 4.005 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 4.005 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1 4.007 * [backup-simplify]: Simplify (+ (* 0 0.5) (* -1 1.0)) into (- 1.0) 4.013 * [backup-simplify]: Simplify (+ (- 1.0) 0) into (- 1.0) 4.014 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 4.015 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 4.015 * [backup-simplify]: Simplify (+ 0 0) into 0 4.016 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0 4.020 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* -1 0.5) (* 0 1.0))) into (- 0.5) 4.021 * [backup-simplify]: Simplify (+ (- 0.5) 0) into (- 0.5) 4.021 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 4.022 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.023 * [backup-simplify]: Simplify (+ 0 0) into 0 4.024 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.025 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* -1 0) (+ (* 0 0.5) (* 0 1.0)))) into 0 4.026 * [backup-simplify]: Simplify (* 1 1) into 1 4.026 * [backup-simplify]: Simplify (* 1 1) into 1 4.027 * [backup-simplify]: Simplify (* -0.3333333333333333 1) into -0.3333333333333333 4.027 * [backup-simplify]: Simplify (+ 0 -0.3333333333333333) into (- 0.3333333333333333) 4.028 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 4.030 * [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)))) 4.030 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 4.030 * [backup-simplify]: Simplify (- 1.0 (/ 0.5 N)) into (- 1.0 (* 0.5 (/ 1 N))) 4.030 * [approximate]: Taking taylor expansion of (- 1.0 (* 0.5 (/ 1 N))) in (N) around 0 4.030 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 (/ 1 N))) in N 4.030 * [taylor]: Taking taylor expansion of 1.0 in N 4.030 * [backup-simplify]: Simplify 1.0 into 1.0 4.030 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 N)) in N 4.030 * [taylor]: Taking taylor expansion of 0.5 in N 4.030 * [backup-simplify]: Simplify 0.5 into 0.5 4.030 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.030 * [taylor]: Taking taylor expansion of N in N 4.030 * [backup-simplify]: Simplify 0 into 0 4.030 * [backup-simplify]: Simplify 1 into 1 4.031 * [backup-simplify]: Simplify (/ 1 1) into 1 4.031 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 (/ 1 N))) in N 4.031 * [taylor]: Taking taylor expansion of 1.0 in N 4.031 * [backup-simplify]: Simplify 1.0 into 1.0 4.031 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 N)) in N 4.031 * [taylor]: Taking taylor expansion of 0.5 in N 4.031 * [backup-simplify]: Simplify 0.5 into 0.5 4.031 * [taylor]: Taking taylor expansion of (/ 1 N) in N 4.031 * [taylor]: Taking taylor expansion of N in N 4.031 * [backup-simplify]: Simplify 0 into 0 4.031 * [backup-simplify]: Simplify 1 into 1 4.031 * [backup-simplify]: Simplify (/ 1 1) into 1 4.032 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 4.032 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 4.033 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 4.033 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 4.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.035 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 4.036 * [backup-simplify]: Simplify (- 0) into 0 4.036 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.036 * [backup-simplify]: Simplify 1.0 into 1.0 4.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.038 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 4.038 * [backup-simplify]: Simplify (- 0) into 0 4.039 * [backup-simplify]: Simplify (+ 0 0) into 0 4.039 * [backup-simplify]: Simplify 0 into 0 4.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.041 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.041 * [backup-simplify]: Simplify (- 0) into 0 4.042 * [backup-simplify]: Simplify (+ 0 0) into 0 4.042 * [backup-simplify]: Simplify 0 into 0 4.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.044 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.044 * [backup-simplify]: Simplify (- 0) into 0 4.044 * [backup-simplify]: Simplify (+ 0 0) into 0 4.044 * [backup-simplify]: Simplify 0 into 0 4.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.047 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.047 * [backup-simplify]: Simplify (- 0) into 0 4.048 * [backup-simplify]: Simplify (+ 0 0) into 0 4.048 * [backup-simplify]: Simplify 0 into 0 4.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.050 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.051 * [backup-simplify]: Simplify (- 0) into 0 4.051 * [backup-simplify]: Simplify (+ 0 0) into 0 4.051 * [backup-simplify]: Simplify 0 into 0 4.052 * [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 4.053 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 4.053 * [backup-simplify]: Simplify (- 0) into 0 4.053 * [backup-simplify]: Simplify (+ 0 0) into 0 4.053 * [backup-simplify]: Simplify 0 into 0 4.053 * [backup-simplify]: Simplify (+ 1.0 (* (- 0.5) (/ 1 N))) into (- 1.0 (* 0.5 (/ 1 N))) 4.054 * [backup-simplify]: Simplify (- 1.0 (/ 0.5 (/ 1 N))) into (- 1.0 (* 0.5 N)) 4.054 * [approximate]: Taking taylor expansion of (- 1.0 (* 0.5 N)) in (N) around 0 4.054 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 N)) in N 4.054 * [taylor]: Taking taylor expansion of 1.0 in N 4.054 * [backup-simplify]: Simplify 1.0 into 1.0 4.054 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 4.054 * [taylor]: Taking taylor expansion of 0.5 in N 4.054 * [backup-simplify]: Simplify 0.5 into 0.5 4.054 * [taylor]: Taking taylor expansion of N in N 4.054 * [backup-simplify]: Simplify 0 into 0 4.054 * [backup-simplify]: Simplify 1 into 1 4.054 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 N)) in N 4.054 * [taylor]: Taking taylor expansion of 1.0 in N 4.054 * [backup-simplify]: Simplify 1.0 into 1.0 4.054 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 4.054 * [taylor]: Taking taylor expansion of 0.5 in N 4.054 * [backup-simplify]: Simplify 0.5 into 0.5 4.054 * [taylor]: Taking taylor expansion of N in N 4.054 * [backup-simplify]: Simplify 0 into 0 4.054 * [backup-simplify]: Simplify 1 into 1 4.054 * [backup-simplify]: Simplify (* 0.5 0) into 0 4.054 * [backup-simplify]: Simplify (- 0) into 0 4.055 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.055 * [backup-simplify]: Simplify 1.0 into 1.0 4.056 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 4.056 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 4.056 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 4.056 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 4.057 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 4.057 * [backup-simplify]: Simplify (- 0) into 0 4.057 * [backup-simplify]: Simplify (+ 0 0) into 0 4.058 * [backup-simplify]: Simplify 0 into 0 4.058 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.058 * [backup-simplify]: Simplify (- 0) into 0 4.059 * [backup-simplify]: Simplify (+ 0 0) into 0 4.059 * [backup-simplify]: Simplify 0 into 0 4.059 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 4.060 * [backup-simplify]: Simplify (- 0) into 0 4.060 * [backup-simplify]: Simplify (+ 0 0) into 0 4.060 * [backup-simplify]: Simplify 0 into 0 4.061 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 4.061 * [backup-simplify]: Simplify (- 0) into 0 4.061 * [backup-simplify]: Simplify (+ 0 0) into 0 4.061 * [backup-simplify]: Simplify 0 into 0 4.062 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 4.062 * [backup-simplify]: Simplify (- 0) into 0 4.062 * [backup-simplify]: Simplify (+ 0 0) into 0 4.062 * [backup-simplify]: Simplify 0 into 0 4.063 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 4.064 * [backup-simplify]: Simplify (- 0) into 0 4.064 * [backup-simplify]: Simplify (+ 0 0) into 0 4.064 * [backup-simplify]: Simplify 0 into 0 4.064 * [backup-simplify]: Simplify (+ (* (- 0.5) (/ 1 N)) 1.0) into (- 1.0 (* 0.5 (/ 1 N))) 4.064 * [backup-simplify]: Simplify (- 1.0 (/ 0.5 (/ 1 (- N)))) into (+ (* 0.5 N) 1.0) 4.064 * [approximate]: Taking taylor expansion of (+ (* 0.5 N) 1.0) in (N) around 0 4.064 * [taylor]: Taking taylor expansion of (+ (* 0.5 N) 1.0) in N 4.064 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 4.064 * [taylor]: Taking taylor expansion of 0.5 in N 4.064 * [backup-simplify]: Simplify 0.5 into 0.5 4.064 * [taylor]: Taking taylor expansion of N in N 4.064 * [backup-simplify]: Simplify 0 into 0 4.064 * [backup-simplify]: Simplify 1 into 1 4.064 * [taylor]: Taking taylor expansion of 1.0 in N 4.064 * [backup-simplify]: Simplify 1.0 into 1.0 4.065 * [taylor]: Taking taylor expansion of (+ (* 0.5 N) 1.0) in N 4.065 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 4.065 * [taylor]: Taking taylor expansion of 0.5 in N 4.065 * [backup-simplify]: Simplify 0.5 into 0.5 4.065 * [taylor]: Taking taylor expansion of N in N 4.065 * [backup-simplify]: Simplify 0 into 0 4.065 * [backup-simplify]: Simplify 1 into 1 4.065 * [taylor]: Taking taylor expansion of 1.0 in N 4.065 * [backup-simplify]: Simplify 1.0 into 1.0 4.065 * [backup-simplify]: Simplify (* 0.5 0) into 0 4.065 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 4.065 * [backup-simplify]: Simplify 1.0 into 1.0 4.066 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 4.066 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 4.066 * [backup-simplify]: Simplify 0.5 into 0.5 4.067 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 4.067 * [backup-simplify]: Simplify (+ 0 0) into 0 4.067 * [backup-simplify]: Simplify 0 into 0 4.068 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.068 * [backup-simplify]: Simplify (+ 0 0) into 0 4.068 * [backup-simplify]: Simplify 0 into 0 4.069 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 4.069 * [backup-simplify]: Simplify (+ 0 0) into 0 4.069 * [backup-simplify]: Simplify 0 into 0 4.070 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 4.070 * [backup-simplify]: Simplify (+ 0 0) into 0 4.070 * [backup-simplify]: Simplify 0 into 0 4.071 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 4.071 * [backup-simplify]: Simplify (+ 0 0) into 0 4.071 * [backup-simplify]: Simplify 0 into 0 4.072 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 4.072 * [backup-simplify]: Simplify (+ 0 0) into 0 4.072 * [backup-simplify]: Simplify 0 into 0 4.073 * [backup-simplify]: Simplify (+ (* 0.5 (/ 1 (- N))) 1.0) into (- 1.0 (* 0.5 (/ 1 N))) 4.073 * * * [progress]: simplifying candidates 4.075 * [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))) 4.079 * * [simplify]: Extracting # 0 : cost 0 4.079 * * [simplify]: Extracting # 1 : cost 0 4.080 * * [simplify]: Extracting # 2 : cost 0 4.080 * * [simplify]: Extracting # 3 : cost 0 4.080 * * [simplify]: Extracting # 4 : cost 0 4.081 * * [simplify]: Extracting # 5 : cost 0 4.081 * * [simplify]: Extracting # 6 : cost 0 4.081 * * [simplify]: Extracting # 7 : cost 0 4.082 * * [simplify]: iteration 0 : 264 enodes (cost 2717 ) 4.173 * * [simplify]: Extracting # 0 : cost 0 4.174 * * [simplify]: Extracting # 1 : cost 0 4.175 * * [simplify]: Extracting # 2 : cost 0 4.175 * * [simplify]: Extracting # 3 : cost 0 4.176 * * [simplify]: iteration 1 : 556 enodes (cost 2339 ) 4.484 * * [simplify]: Extracting # 0 : cost 0 4.486 * * [simplify]: Extracting # 1 : cost 0 4.488 * * [simplify]: Extracting # 2 : cost 0 4.490 * * [simplify]: Extracting # 3 : cost 0 4.492 * * [simplify]: Extracting # 4 : cost 0 4.493 * * [simplify]: iteration 2 : 1503 enodes (cost 1778 ) 5.669 * * [simplify]: Extracting # 0 : cost 0 5.678 * * [simplify]: Extracting # 1 : cost 0 5.683 * * [simplify]: Extracting # 2 : cost 0 5.702 * * [simplify]: Extracting # 3 : cost 0 5.713 * * [simplify]: Extracting # 4 : cost 0 5.725 * * [simplify]: iteration done: 5000 enodes (cost 1368 ) 5.727 * [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)) 5.729 * * * [progress]: adding candidates to table 6.071 * * [progress]: iteration 3 / 4 6.071 * * * [progress]: picking best candidate 6.075 * * * * [pick]: Picked # 6.076 * * * [progress]: localizing error 6.096 * * * [progress]: generating rewritten candidates 6.096 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 6.340 * * * * [progress]: [ 2 / 4 ] rewriting at (2 3) 6.355 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 6.363 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 3) 6.450 * * * [progress]: generating series expansions 6.450 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 6.452 * [backup-simplify]: Simplify (/ (- (pow 1.0 3) (pow (/ 0.5 N) 3)) (fma 1.0 1.0 (* (/ 0.5 N) (+ 1.0 (/ 0.5 N))))) into (/ (- 1.0 (* 0.125 (/ 1 (pow N 3)))) (fma 1.0 1.0 (* 0.5 (/ (+ (* 0.5 (/ 1 N)) 1.0) N)))) 6.452 * [approximate]: Taking taylor expansion of (/ (- 1.0 (* 0.125 (/ 1 (pow N 3)))) (fma 1.0 1.0 (* 0.5 (/ (+ (* 0.5 (/ 1 N)) 1.0) N)))) in (N) around 0 6.452 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 0.125 (/ 1 (pow N 3)))) (fma 1.0 1.0 (* 0.5 (/ (+ (* 0.5 (/ 1 N)) 1.0) N)))) in N 6.452 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.125 (/ 1 (pow N 3)))) in N 6.452 * [taylor]: Taking taylor expansion of 1.0 in N 6.452 * [backup-simplify]: Simplify 1.0 into 1.0 6.452 * [taylor]: Taking taylor expansion of (* 0.125 (/ 1 (pow N 3))) in N 6.452 * [taylor]: Taking taylor expansion of 0.125 in N 6.452 * [backup-simplify]: Simplify 0.125 into 0.125 6.452 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 6.452 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.452 * [taylor]: Taking taylor expansion of N in N 6.452 * [backup-simplify]: Simplify 0 into 0 6.452 * [backup-simplify]: Simplify 1 into 1 6.453 * [backup-simplify]: Simplify (* 1 1) into 1 6.453 * [backup-simplify]: Simplify (* 1 1) into 1 6.453 * [backup-simplify]: Simplify (/ 1 1) into 1 6.453 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (* 0.5 (/ (+ (* 0.5 (/ 1 N)) 1.0) N))) in N 6.454 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (* 0.5 (/ (+ (* 0.5 (/ 1 N)) 1.0) N))) 6.454 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in N 6.454 * [taylor]: Taking taylor expansion of 1.0 in N 6.454 * [backup-simplify]: Simplify 1.0 into 1.0 6.454 * [taylor]: Taking taylor expansion of 1.0 in N 6.454 * [backup-simplify]: Simplify 1.0 into 1.0 6.454 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ (* 0.5 (/ 1 N)) 1.0) N)) in N 6.454 * [taylor]: Taking taylor expansion of 0.5 in N 6.454 * [backup-simplify]: Simplify 0.5 into 0.5 6.454 * [taylor]: Taking taylor expansion of (/ (+ (* 0.5 (/ 1 N)) 1.0) N) in N 6.454 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 N)) 1.0) in N 6.454 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 N)) in N 6.454 * [taylor]: Taking taylor expansion of 0.5 in N 6.454 * [backup-simplify]: Simplify 0.5 into 0.5 6.454 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.454 * [taylor]: Taking taylor expansion of N in N 6.454 * [backup-simplify]: Simplify 0 into 0 6.454 * [backup-simplify]: Simplify 1 into 1 6.455 * [backup-simplify]: Simplify (/ 1 1) into 1 6.455 * [taylor]: Taking taylor expansion of 1.0 in N 6.455 * [backup-simplify]: Simplify 1.0 into 1.0 6.455 * [taylor]: Taking taylor expansion of N in N 6.455 * [backup-simplify]: Simplify 0 into 0 6.455 * [backup-simplify]: Simplify 1 into 1 6.455 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 6.456 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 6.456 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 6.457 * [backup-simplify]: Simplify (* 0.125 1) into 0.125 6.457 * [backup-simplify]: Simplify (- 0.125) into (- 0.125) 6.458 * [backup-simplify]: Simplify (+ 0 (- 0.125)) into (- 0.125) 6.458 * [backup-simplify]: Simplify (* 0.5 0.5) into 0.25 6.459 * [backup-simplify]: Simplify (+ 0 0.25) into 0.25 6.460 * [backup-simplify]: Simplify (/ (- 0.125) 0.25) into -0.5 6.460 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 0.125 (/ 1 (pow N 3)))) (fma 1.0 1.0 (* 0.5 (/ (+ (* 0.5 (/ 1 N)) 1.0) N)))) in N 6.460 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.125 (/ 1 (pow N 3)))) in N 6.460 * [taylor]: Taking taylor expansion of 1.0 in N 6.460 * [backup-simplify]: Simplify 1.0 into 1.0 6.460 * [taylor]: Taking taylor expansion of (* 0.125 (/ 1 (pow N 3))) in N 6.460 * [taylor]: Taking taylor expansion of 0.125 in N 6.460 * [backup-simplify]: Simplify 0.125 into 0.125 6.460 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 6.460 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.460 * [taylor]: Taking taylor expansion of N in N 6.460 * [backup-simplify]: Simplify 0 into 0 6.460 * [backup-simplify]: Simplify 1 into 1 6.460 * [backup-simplify]: Simplify (* 1 1) into 1 6.461 * [backup-simplify]: Simplify (* 1 1) into 1 6.461 * [backup-simplify]: Simplify (/ 1 1) into 1 6.461 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (* 0.5 (/ (+ (* 0.5 (/ 1 N)) 1.0) N))) in N 6.461 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (* 0.5 (/ (+ (* 0.5 (/ 1 N)) 1.0) N))) 6.461 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in N 6.461 * [taylor]: Taking taylor expansion of 1.0 in N 6.461 * [backup-simplify]: Simplify 1.0 into 1.0 6.461 * [taylor]: Taking taylor expansion of 1.0 in N 6.461 * [backup-simplify]: Simplify 1.0 into 1.0 6.461 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ (* 0.5 (/ 1 N)) 1.0) N)) in N 6.461 * [taylor]: Taking taylor expansion of 0.5 in N 6.461 * [backup-simplify]: Simplify 0.5 into 0.5 6.461 * [taylor]: Taking taylor expansion of (/ (+ (* 0.5 (/ 1 N)) 1.0) N) in N 6.462 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 N)) 1.0) in N 6.462 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 N)) in N 6.462 * [taylor]: Taking taylor expansion of 0.5 in N 6.462 * [backup-simplify]: Simplify 0.5 into 0.5 6.462 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.462 * [taylor]: Taking taylor expansion of N in N 6.462 * [backup-simplify]: Simplify 0 into 0 6.462 * [backup-simplify]: Simplify 1 into 1 6.462 * [backup-simplify]: Simplify (/ 1 1) into 1 6.462 * [taylor]: Taking taylor expansion of 1.0 in N 6.462 * [backup-simplify]: Simplify 1.0 into 1.0 6.462 * [taylor]: Taking taylor expansion of N in N 6.462 * [backup-simplify]: Simplify 0 into 0 6.462 * [backup-simplify]: Simplify 1 into 1 6.463 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 6.463 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 6.464 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 6.464 * [backup-simplify]: Simplify (* 0.125 1) into 0.125 6.464 * [backup-simplify]: Simplify (- 0.125) into (- 0.125) 6.465 * [backup-simplify]: Simplify (+ 0 (- 0.125)) into (- 0.125) 6.466 * [backup-simplify]: Simplify (* 0.5 0.5) into 0.25 6.466 * [backup-simplify]: Simplify (+ 0 0.25) into 0.25 6.467 * [backup-simplify]: Simplify (/ (- 0.125) 0.25) into -0.5 6.467 * [backup-simplify]: Simplify -0.5 into -0.5 6.468 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.468 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.470 * [backup-simplify]: Simplify (+ (* 0.125 0) (* 0 1)) into 0 6.470 * [backup-simplify]: Simplify (- 0) into 0 6.470 * [backup-simplify]: Simplify (+ 0 0) into 0 6.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.472 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 6.472 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.474 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 0.5 (/ 0 1)))) into 1.0 6.476 * [backup-simplify]: Simplify (+ (* 0.5 1.0) (* 0 0.5)) into 0.5 6.476 * [backup-simplify]: Simplify (+ 0 0.5) into 0.5 6.480 * [backup-simplify]: Simplify (- (/ 0 0.25) (+ (* -0.5 (/ 0.5 0.25)))) into 1.0 6.480 * [backup-simplify]: Simplify 1.0 into 1.0 6.481 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.481 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.483 * [backup-simplify]: Simplify (+ (* 0.125 0) (+ (* 0 0) (* 0 1))) into 0 6.483 * [backup-simplify]: Simplify (- 0) into 0 6.484 * [backup-simplify]: Simplify (+ 0 0) into 0 6.484 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 6.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.485 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 6.485 * [backup-simplify]: Simplify (+ 0 0) into 0 6.486 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 6.486 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1.0) (* 0 0.5))) into 0 6.487 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.495 * [backup-simplify]: Simplify (- (/ 0 0.25) (+ (* -0.5 (/ 1.0 0.25)) (* 1.0 (/ 0.5 0.25)))) into 0 6.495 * [backup-simplify]: Simplify 0 into 0 6.496 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.496 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.497 * [backup-simplify]: Simplify (+ (* 0.125 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.498 * [backup-simplify]: Simplify (- 0) into 0 6.498 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.498 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1.0)) into 0 6.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.500 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.500 * [backup-simplify]: Simplify (+ 0 0) into 0 6.501 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.501 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 0.5)))) into 0 6.502 * [backup-simplify]: Simplify (+ 0 0) into 0 6.505 * [backup-simplify]: Simplify (- (/ 1.0 0.25) (+ (* -0.5 (/ 0 0.25)) (* 1.0 (/ 1.0 0.25)) (* 0 (/ 0.5 0.25)))) into 0 6.505 * [backup-simplify]: Simplify 0 into 0 6.506 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.506 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.508 * [backup-simplify]: Simplify (+ (* 0.125 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.508 * [backup-simplify]: Simplify (- 0) into 0 6.508 * [backup-simplify]: Simplify (+ 0 0) into 0 6.509 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1.0))) into 0 6.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.510 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.511 * [backup-simplify]: Simplify (+ 0 0) into 0 6.511 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.513 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 0.5))))) into 0 6.513 * [backup-simplify]: Simplify (+ 0 0) into 0 6.515 * [backup-simplify]: Simplify (- (/ 0 0.25) (+ (* -0.5 (/ 0 0.25)) (* 1.0 (/ 0 0.25)) (* 0 (/ 1.0 0.25)) (* 0 (/ 0.5 0.25)))) into 0 6.515 * [backup-simplify]: Simplify 0 into 0 6.517 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.519 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.521 * [backup-simplify]: Simplify (+ (* 0.125 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.522 * [backup-simplify]: Simplify (- 0) into 0 6.522 * [backup-simplify]: Simplify (+ 0 0) into 0 6.523 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1.0)))) into 0 6.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.526 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.526 * [backup-simplify]: Simplify (+ 0 0) into 0 6.528 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.529 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 0.5)))))) into 0 6.529 * [backup-simplify]: Simplify (+ 0 0) into 0 6.532 * [backup-simplify]: Simplify (- (/ 0 0.25) (+ (* -0.5 (/ 0 0.25)) (* 1.0 (/ 0 0.25)) (* 0 (/ 0 0.25)) (* 0 (/ 1.0 0.25)) (* 0 (/ 0.5 0.25)))) into 0 6.532 * [backup-simplify]: Simplify 0 into 0 6.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.534 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.535 * [backup-simplify]: Simplify (+ (* 0.125 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.536 * [backup-simplify]: Simplify (- 0) into 0 6.536 * [backup-simplify]: Simplify (+ 0 0) into 0 6.537 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1.0))))) into 0 6.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.539 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.539 * [backup-simplify]: Simplify (+ 0 0) into 0 6.540 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.541 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 0.5))))))) into 0 6.542 * [backup-simplify]: Simplify (+ 0 0) into 0 6.543 * [backup-simplify]: Simplify (- (/ 0 0.25) (+ (* -0.5 (/ 0 0.25)) (* 1.0 (/ 0 0.25)) (* 0 (/ 0 0.25)) (* 0 (/ 0 0.25)) (* 0 (/ 1.0 0.25)) (* 0 (/ 0.5 0.25)))) into 0 6.543 * [backup-simplify]: Simplify 0 into 0 6.544 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 6.545 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 6.546 * [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 6.547 * [backup-simplify]: Simplify (+ (* 0.125 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 6.548 * [backup-simplify]: Simplify (- 0) into 0 6.548 * [backup-simplify]: Simplify (+ 0 0) into 0 6.549 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1.0)))))) into 0 6.549 * [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 6.550 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 6.551 * [backup-simplify]: Simplify (+ 0 0) into 0 6.551 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.552 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 0.5)))))))) into 0 6.553 * [backup-simplify]: Simplify (+ 0 0) into 0 6.554 * [backup-simplify]: Simplify (- (/ 0 0.25) (+ (* -0.5 (/ 0 0.25)) (* 1.0 (/ 0 0.25)) (* 0 (/ 0 0.25)) (* 0 (/ 0 0.25)) (* 0 (/ 0 0.25)) (* 0 (/ 1.0 0.25)) (* 0 (/ 0.5 0.25)))) into 0 6.554 * [backup-simplify]: Simplify 0 into 0 6.554 * [backup-simplify]: Simplify (+ 1.0 (* -0.5 (/ 1 N))) into (- 1.0 (* 0.5 (/ 1 N))) 6.555 * [backup-simplify]: Simplify (/ (- (pow 1.0 3) (pow (/ 0.5 (/ 1 N)) 3)) (fma 1.0 1.0 (* (/ 0.5 (/ 1 N)) (+ 1.0 (/ 0.5 (/ 1 N)))))) into (/ (- 1.0 (* 0.125 (pow N 3))) (fma 1.0 1.0 (* 0.5 (* (+ (* 0.5 N) 1.0) N)))) 6.555 * [approximate]: Taking taylor expansion of (/ (- 1.0 (* 0.125 (pow N 3))) (fma 1.0 1.0 (* 0.5 (* (+ (* 0.5 N) 1.0) N)))) in (N) around 0 6.555 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 0.125 (pow N 3))) (fma 1.0 1.0 (* 0.5 (* (+ (* 0.5 N) 1.0) N)))) in N 6.555 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.125 (pow N 3))) in N 6.555 * [taylor]: Taking taylor expansion of 1.0 in N 6.555 * [backup-simplify]: Simplify 1.0 into 1.0 6.555 * [taylor]: Taking taylor expansion of (* 0.125 (pow N 3)) in N 6.555 * [taylor]: Taking taylor expansion of 0.125 in N 6.555 * [backup-simplify]: Simplify 0.125 into 0.125 6.555 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.555 * [taylor]: Taking taylor expansion of N in N 6.555 * [backup-simplify]: Simplify 0 into 0 6.555 * [backup-simplify]: Simplify 1 into 1 6.555 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (* 0.5 (* (+ (* 0.5 N) 1.0) N))) in N 6.555 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (* 0.5 (* (+ (* 0.5 N) 1.0) N))) 6.555 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in N 6.555 * [taylor]: Taking taylor expansion of 1.0 in N 6.555 * [backup-simplify]: Simplify 1.0 into 1.0 6.555 * [taylor]: Taking taylor expansion of 1.0 in N 6.555 * [backup-simplify]: Simplify 1.0 into 1.0 6.555 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (* 0.5 N) 1.0) N)) in N 6.555 * [taylor]: Taking taylor expansion of 0.5 in N 6.555 * [backup-simplify]: Simplify 0.5 into 0.5 6.555 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 N) 1.0) N) in N 6.555 * [taylor]: Taking taylor expansion of (+ (* 0.5 N) 1.0) in N 6.555 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 6.555 * [taylor]: Taking taylor expansion of 0.5 in N 6.555 * [backup-simplify]: Simplify 0.5 into 0.5 6.555 * [taylor]: Taking taylor expansion of N in N 6.555 * [backup-simplify]: Simplify 0 into 0 6.555 * [backup-simplify]: Simplify 1 into 1 6.555 * [taylor]: Taking taylor expansion of 1.0 in N 6.556 * [backup-simplify]: Simplify 1.0 into 1.0 6.556 * [taylor]: Taking taylor expansion of N in N 6.556 * [backup-simplify]: Simplify 0 into 0 6.556 * [backup-simplify]: Simplify 1 into 1 6.556 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.556 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 6.557 * [backup-simplify]: Simplify (* 0.5 0) into 0 6.557 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.558 * [backup-simplify]: Simplify (* 1.0 0) into 0 6.558 * [backup-simplify]: Simplify (* 0.5 0) into 0 6.558 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.559 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 6.559 * [taylor]: Taking taylor expansion of (/ (- 1.0 (* 0.125 (pow N 3))) (fma 1.0 1.0 (* 0.5 (* (+ (* 0.5 N) 1.0) N)))) in N 6.559 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.125 (pow N 3))) in N 6.559 * [taylor]: Taking taylor expansion of 1.0 in N 6.559 * [backup-simplify]: Simplify 1.0 into 1.0 6.559 * [taylor]: Taking taylor expansion of (* 0.125 (pow N 3)) in N 6.559 * [taylor]: Taking taylor expansion of 0.125 in N 6.559 * [backup-simplify]: Simplify 0.125 into 0.125 6.559 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.559 * [taylor]: Taking taylor expansion of N in N 6.559 * [backup-simplify]: Simplify 0 into 0 6.559 * [backup-simplify]: Simplify 1 into 1 6.559 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (* 0.5 (* (+ (* 0.5 N) 1.0) N))) in N 6.559 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (* 0.5 (* (+ (* 0.5 N) 1.0) N))) 6.559 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in N 6.559 * [taylor]: Taking taylor expansion of 1.0 in N 6.559 * [backup-simplify]: Simplify 1.0 into 1.0 6.559 * [taylor]: Taking taylor expansion of 1.0 in N 6.559 * [backup-simplify]: Simplify 1.0 into 1.0 6.559 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (* 0.5 N) 1.0) N)) in N 6.559 * [taylor]: Taking taylor expansion of 0.5 in N 6.560 * [backup-simplify]: Simplify 0.5 into 0.5 6.560 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 N) 1.0) N) in N 6.560 * [taylor]: Taking taylor expansion of (+ (* 0.5 N) 1.0) in N 6.560 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 6.560 * [taylor]: Taking taylor expansion of 0.5 in N 6.560 * [backup-simplify]: Simplify 0.5 into 0.5 6.560 * [taylor]: Taking taylor expansion of N in N 6.560 * [backup-simplify]: Simplify 0 into 0 6.560 * [backup-simplify]: Simplify 1 into 1 6.560 * [taylor]: Taking taylor expansion of 1.0 in N 6.560 * [backup-simplify]: Simplify 1.0 into 1.0 6.560 * [taylor]: Taking taylor expansion of N in N 6.560 * [backup-simplify]: Simplify 0 into 0 6.560 * [backup-simplify]: Simplify 1 into 1 6.560 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.561 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 6.561 * [backup-simplify]: Simplify (* 0.5 0) into 0 6.561 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.562 * [backup-simplify]: Simplify (* 1.0 0) into 0 6.562 * [backup-simplify]: Simplify (* 0.5 0) into 0 6.563 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.563 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 6.563 * [backup-simplify]: Simplify 1.0 into 1.0 6.564 * [backup-simplify]: Simplify (+ 0 0) into 0 6.565 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1.0)) into 0 6.566 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 6.567 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 6.569 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0.5 0)) into 1.0 6.571 * [backup-simplify]: Simplify (+ (* 0.5 1.0) (* 0 0)) into 0.5 6.571 * [backup-simplify]: Simplify (+ 0 0.5) into 0.5 6.575 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0.5 1.0)))) into (- 0.5) 6.575 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 6.576 * [backup-simplify]: Simplify (+ 0 0) into 0 6.577 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1.0))) into 0 6.578 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 6.578 * [backup-simplify]: Simplify (+ 0 0) into 0 6.582 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0.5 1) (* 0 0))) into 0.5 6.584 * [backup-simplify]: Simplify (+ (* 0.5 0.5) (+ (* 0 1.0) (* 0 0))) into 0.25 6.585 * [backup-simplify]: Simplify (+ 0 0.25) into 0.25 6.590 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0.25 1.0)) (* (- 0.5) (/ 0.5 1.0)))) into 0 6.590 * [backup-simplify]: Simplify 0 into 0 6.591 * [backup-simplify]: Simplify (* 1 1) into 1 6.591 * [backup-simplify]: Simplify (* 1 1) into 1 6.591 * [backup-simplify]: Simplify (* 0.125 1) into 0.125 6.592 * [backup-simplify]: Simplify (- 0.125) into (- 0.125) 6.593 * [backup-simplify]: Simplify (+ 0 (- 0.125)) into (- 0.125) 6.594 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1.0)))) into 0 6.595 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.595 * [backup-simplify]: Simplify (+ 0 0) into 0 6.597 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0.5 0) (+ (* 0 1) (* 0 0)))) into 0 6.598 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0.5) (+ (* 0 1.0) (* 0 0)))) into 0 6.598 * [backup-simplify]: Simplify (+ 0 0) into 0 6.605 * [backup-simplify]: Simplify (- (/ (- 0.125) 1.0) (+ (* 1.0 (/ 0 1.0)) (* (- 0.5) (/ 0.25 1.0)) (* 0 (/ 0.5 1.0)))) into 0 6.605 * [backup-simplify]: Simplify 0 into 0 6.606 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.607 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.607 * [backup-simplify]: Simplify (+ (* 0.125 0) (* 0 1)) into 0 6.608 * [backup-simplify]: Simplify (- 0) into 0 6.608 * [backup-simplify]: Simplify (+ 0 0) into 0 6.609 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1.0))))) into 0 6.611 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 6.611 * [backup-simplify]: Simplify (+ 0 0) into 0 6.613 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 6.614 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0.5) (+ (* 0 1.0) (* 0 0))))) into 0 6.614 * [backup-simplify]: Simplify (+ 0 0) into 0 6.616 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* (- 0.5) (/ 0 1.0)) (* 0 (/ 0.25 1.0)) (* 0 (/ 0.5 1.0)))) into 0 6.616 * [backup-simplify]: Simplify 0 into 0 6.617 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.618 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.619 * [backup-simplify]: Simplify (+ (* 0.125 0) (+ (* 0 0) (* 0 1))) into 0 6.627 * [backup-simplify]: Simplify (- 0) into 0 6.628 * [backup-simplify]: Simplify (+ 0 0) into 0 6.629 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1.0)))))) into 0 6.631 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 6.631 * [backup-simplify]: Simplify (+ 0 0) into 0 6.633 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 6.635 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.5) (+ (* 0 1.0) (* 0 0)))))) into 0 6.635 * [backup-simplify]: Simplify (+ 0 0) into 0 6.637 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* (- 0.5) (/ 0 1.0)) (* 0 (/ 0 1.0)) (* 0 (/ 0.25 1.0)) (* 0 (/ 0.5 1.0)))) into 0 6.637 * [backup-simplify]: Simplify 0 into 0 6.639 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.639 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.640 * [backup-simplify]: Simplify (+ (* 0.125 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.640 * [backup-simplify]: Simplify (- 0) into 0 6.641 * [backup-simplify]: Simplify (+ 0 0) into 0 6.642 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1.0))))))) into 0 6.642 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 6.643 * [backup-simplify]: Simplify (+ 0 0) into 0 6.644 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 6.645 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.5) (+ (* 0 1.0) (* 0 0))))))) into 0 6.645 * [backup-simplify]: Simplify (+ 0 0) into 0 6.646 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* (- 0.5) (/ 0 1.0)) (* 0 (/ 0 1.0)) (* 0 (/ 0 1.0)) (* 0 (/ 0.25 1.0)) (* 0 (/ 0.5 1.0)))) into 0 6.646 * [backup-simplify]: Simplify 0 into 0 6.647 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.647 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.648 * [backup-simplify]: Simplify (+ (* 0.125 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.648 * [backup-simplify]: Simplify (- 0) into 0 6.649 * [backup-simplify]: Simplify (+ 0 0) into 0 6.649 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1.0)))))))) into 0 6.650 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 6.651 * [backup-simplify]: Simplify (+ 0 0) into 0 6.652 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 6.653 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.5) (+ (* 0 1.0) (* 0 0)))))))) into 0 6.653 * [backup-simplify]: Simplify (+ 0 0) into 0 6.654 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* (- 0.5) (/ 0 1.0)) (* 0 (/ 0 1.0)) (* 0 (/ 0 1.0)) (* 0 (/ 0 1.0)) (* 0 (/ 0.25 1.0)) (* 0 (/ 0.5 1.0)))) into 0 6.654 * [backup-simplify]: Simplify 0 into 0 6.655 * [backup-simplify]: Simplify (+ (* (- 0.5) (/ 1 N)) 1.0) into (- 1.0 (* 0.5 (/ 1 N))) 6.656 * [backup-simplify]: Simplify (/ (- (pow 1.0 3) (pow (/ 0.5 (/ 1 (- N))) 3)) (fma 1.0 1.0 (* (/ 0.5 (/ 1 (- N))) (+ 1.0 (/ 0.5 (/ 1 (- N))))))) into (/ (+ (* 0.125 (pow N 3)) 1.0) (fma 1.0 1.0 (* -0.5 (* N (- 1.0 (* 0.5 N)))))) 6.656 * [approximate]: Taking taylor expansion of (/ (+ (* 0.125 (pow N 3)) 1.0) (fma 1.0 1.0 (* -0.5 (* N (- 1.0 (* 0.5 N)))))) in (N) around 0 6.656 * [taylor]: Taking taylor expansion of (/ (+ (* 0.125 (pow N 3)) 1.0) (fma 1.0 1.0 (* -0.5 (* N (- 1.0 (* 0.5 N)))))) in N 6.656 * [taylor]: Taking taylor expansion of (+ (* 0.125 (pow N 3)) 1.0) in N 6.656 * [taylor]: Taking taylor expansion of (* 0.125 (pow N 3)) in N 6.656 * [taylor]: Taking taylor expansion of 0.125 in N 6.656 * [backup-simplify]: Simplify 0.125 into 0.125 6.656 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.656 * [taylor]: Taking taylor expansion of N in N 6.656 * [backup-simplify]: Simplify 0 into 0 6.656 * [backup-simplify]: Simplify 1 into 1 6.656 * [taylor]: Taking taylor expansion of 1.0 in N 6.656 * [backup-simplify]: Simplify 1.0 into 1.0 6.656 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (* N (- 1.0 (* 0.5 N))))) in N 6.656 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (* -0.5 (* N (- 1.0 (* 0.5 N))))) 6.656 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in N 6.656 * [taylor]: Taking taylor expansion of 1.0 in N 6.656 * [backup-simplify]: Simplify 1.0 into 1.0 6.656 * [taylor]: Taking taylor expansion of 1.0 in N 6.656 * [backup-simplify]: Simplify 1.0 into 1.0 6.656 * [taylor]: Taking taylor expansion of (* -0.5 (* N (- 1.0 (* 0.5 N)))) in N 6.656 * [taylor]: Taking taylor expansion of -0.5 in N 6.656 * [backup-simplify]: Simplify -0.5 into -0.5 6.656 * [taylor]: Taking taylor expansion of (* N (- 1.0 (* 0.5 N))) in N 6.656 * [taylor]: Taking taylor expansion of N in N 6.656 * [backup-simplify]: Simplify 0 into 0 6.656 * [backup-simplify]: Simplify 1 into 1 6.656 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 N)) in N 6.656 * [taylor]: Taking taylor expansion of 1.0 in N 6.656 * [backup-simplify]: Simplify 1.0 into 1.0 6.656 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 6.656 * [taylor]: Taking taylor expansion of 0.5 in N 6.656 * [backup-simplify]: Simplify 0.5 into 0.5 6.656 * [taylor]: Taking taylor expansion of N in N 6.656 * [backup-simplify]: Simplify 0 into 0 6.656 * [backup-simplify]: Simplify 1 into 1 6.657 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.657 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 6.657 * [backup-simplify]: Simplify (* 0.5 0) into 0 6.657 * [backup-simplify]: Simplify (- 0) into 0 6.658 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.658 * [backup-simplify]: Simplify (* 0 1.0) into 0 6.658 * [backup-simplify]: Simplify (* -0.5 0) into 0 6.658 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.659 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 6.659 * [taylor]: Taking taylor expansion of (/ (+ (* 0.125 (pow N 3)) 1.0) (fma 1.0 1.0 (* -0.5 (* N (- 1.0 (* 0.5 N)))))) in N 6.659 * [taylor]: Taking taylor expansion of (+ (* 0.125 (pow N 3)) 1.0) in N 6.659 * [taylor]: Taking taylor expansion of (* 0.125 (pow N 3)) in N 6.659 * [taylor]: Taking taylor expansion of 0.125 in N 6.659 * [backup-simplify]: Simplify 0.125 into 0.125 6.659 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.659 * [taylor]: Taking taylor expansion of N in N 6.659 * [backup-simplify]: Simplify 0 into 0 6.659 * [backup-simplify]: Simplify 1 into 1 6.659 * [taylor]: Taking taylor expansion of 1.0 in N 6.659 * [backup-simplify]: Simplify 1.0 into 1.0 6.659 * [taylor]: Taking taylor expansion of (fma 1.0 1.0 (* -0.5 (* N (- 1.0 (* 0.5 N))))) in N 6.659 * [taylor]: Rewrote expression to (+ (* 1.0 1.0) (* -0.5 (* N (- 1.0 (* 0.5 N))))) 6.659 * [taylor]: Taking taylor expansion of (* 1.0 1.0) in N 6.659 * [taylor]: Taking taylor expansion of 1.0 in N 6.659 * [backup-simplify]: Simplify 1.0 into 1.0 6.659 * [taylor]: Taking taylor expansion of 1.0 in N 6.659 * [backup-simplify]: Simplify 1.0 into 1.0 6.659 * [taylor]: Taking taylor expansion of (* -0.5 (* N (- 1.0 (* 0.5 N)))) in N 6.659 * [taylor]: Taking taylor expansion of -0.5 in N 6.659 * [backup-simplify]: Simplify -0.5 into -0.5 6.659 * [taylor]: Taking taylor expansion of (* N (- 1.0 (* 0.5 N))) in N 6.659 * [taylor]: Taking taylor expansion of N in N 6.659 * [backup-simplify]: Simplify 0 into 0 6.659 * [backup-simplify]: Simplify 1 into 1 6.659 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 N)) in N 6.659 * [taylor]: Taking taylor expansion of 1.0 in N 6.659 * [backup-simplify]: Simplify 1.0 into 1.0 6.659 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 6.659 * [taylor]: Taking taylor expansion of 0.5 in N 6.659 * [backup-simplify]: Simplify 0.5 into 0.5 6.659 * [taylor]: Taking taylor expansion of N in N 6.659 * [backup-simplify]: Simplify 0 into 0 6.659 * [backup-simplify]: Simplify 1 into 1 6.660 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.660 * [backup-simplify]: Simplify (* 1.0 1.0) into 1.0 6.660 * [backup-simplify]: Simplify (* 0.5 0) into 0 6.660 * [backup-simplify]: Simplify (- 0) into 0 6.661 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.661 * [backup-simplify]: Simplify (* 0 1.0) into 0 6.661 * [backup-simplify]: Simplify (* -0.5 0) into 0 6.661 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.662 * [backup-simplify]: Simplify (/ 1.0 1.0) into 1.0 6.662 * [backup-simplify]: Simplify 1.0 into 1.0 6.662 * [backup-simplify]: Simplify (+ 0 0) into 0 6.662 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1.0)) into 0 6.663 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 6.663 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 6.664 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 6.665 * [backup-simplify]: Simplify (+ (* 0 (- 0.5)) (* 1 1.0)) into 1.0 6.666 * [backup-simplify]: Simplify (+ (* -0.5 1.0) (* 0 0)) into (- 0.5) 6.667 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 6.670 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ (- 0.5) 1.0)))) into 0.5 6.670 * [backup-simplify]: Simplify 0.5 into 0.5 6.670 * [backup-simplify]: Simplify (+ 0 0) into 0 6.671 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1.0))) into 0 6.672 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 6.673 * [backup-simplify]: Simplify (- 0) into 0 6.673 * [backup-simplify]: Simplify (+ 0 0) into 0 6.677 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (- 0.5)) (* 0 1.0))) into (- 0.5) 6.680 * [backup-simplify]: Simplify (+ (* -0.5 (- 0.5)) (+ (* 0 1.0) (* 0 0))) into 0.25 6.680 * [backup-simplify]: Simplify (+ 0 0.25) into 0.25 6.686 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0.25 1.0)) (* 0.5 (/ (- 0.5) 1.0)))) into 0 6.686 * [backup-simplify]: Simplify 0 into 0 6.686 * [backup-simplify]: Simplify (* 1 1) into 1 6.687 * [backup-simplify]: Simplify (* 1 1) into 1 6.687 * [backup-simplify]: Simplify (* 0.125 1) into 0.125 6.687 * [backup-simplify]: Simplify (+ 0.125 0) into 0.125 6.688 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1.0)))) into 0 6.690 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.690 * [backup-simplify]: Simplify (- 0) into 0 6.690 * [backup-simplify]: Simplify (+ 0 0) into 0 6.692 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (- 0.5)) (* 0 1.0)))) into 0 6.693 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 (- 0.5)) (+ (* 0 1.0) (* 0 0)))) into 0 6.694 * [backup-simplify]: Simplify (+ 0 0) into 0 6.700 * [backup-simplify]: Simplify (- (/ 0.125 1.0) (+ (* 1.0 (/ 0 1.0)) (* 0.5 (/ 0.25 1.0)) (* 0 (/ (- 0.5) 1.0)))) into 0 6.700 * [backup-simplify]: Simplify 0 into 0 6.700 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.701 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.702 * [backup-simplify]: Simplify (+ (* 0.125 0) (* 0 1)) into 0 6.702 * [backup-simplify]: Simplify (+ 0 0) into 0 6.703 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1.0))))) into 0 6.704 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 6.705 * [backup-simplify]: Simplify (- 0) into 0 6.705 * [backup-simplify]: Simplify (+ 0 0) into 0 6.706 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 (- 0.5)) (* 0 1.0))))) into 0 6.708 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 (- 0.5)) (+ (* 0 1.0) (* 0 0))))) into 0 6.708 * [backup-simplify]: Simplify (+ 0 0) into 0 6.710 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* 0.5 (/ 0 1.0)) (* 0 (/ 0.25 1.0)) (* 0 (/ (- 0.5) 1.0)))) into 0 6.710 * [backup-simplify]: Simplify 0 into 0 6.711 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.712 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.713 * [backup-simplify]: Simplify (+ (* 0.125 0) (+ (* 0 0) (* 0 1))) into 0 6.713 * [backup-simplify]: Simplify (+ 0 0) into 0 6.714 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1.0)))))) into 0 6.715 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 6.716 * [backup-simplify]: Simplify (- 0) into 0 6.716 * [backup-simplify]: Simplify (+ 0 0) into 0 6.717 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 0.5)) (* 0 1.0)))))) into 0 6.718 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 0.5)) (+ (* 0 1.0) (* 0 0)))))) into 0 6.718 * [backup-simplify]: Simplify (+ 0 0) into 0 6.719 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* 0.5 (/ 0 1.0)) (* 0 (/ 0 1.0)) (* 0 (/ 0.25 1.0)) (* 0 (/ (- 0.5) 1.0)))) into 0 6.720 * [backup-simplify]: Simplify 0 into 0 6.720 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.721 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.721 * [backup-simplify]: Simplify (+ (* 0.125 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.722 * [backup-simplify]: Simplify (+ 0 0) into 0 6.723 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1.0))))))) into 0 6.724 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 6.724 * [backup-simplify]: Simplify (- 0) into 0 6.724 * [backup-simplify]: Simplify (+ 0 0) into 0 6.726 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 0.5)) (* 0 1.0))))))) into 0 6.727 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 0.5)) (+ (* 0 1.0) (* 0 0))))))) into 0 6.727 * [backup-simplify]: Simplify (+ 0 0) into 0 6.729 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* 0.5 (/ 0 1.0)) (* 0 (/ 0 1.0)) (* 0 (/ 0 1.0)) (* 0 (/ 0.25 1.0)) (* 0 (/ (- 0.5) 1.0)))) into 0 6.729 * [backup-simplify]: Simplify 0 into 0 6.729 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.730 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.731 * [backup-simplify]: Simplify (+ (* 0.125 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.731 * [backup-simplify]: Simplify (+ 0 0) into 0 6.732 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1.0)))))))) into 0 6.733 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 6.733 * [backup-simplify]: Simplify (- 0) into 0 6.733 * [backup-simplify]: Simplify (+ 0 0) into 0 6.734 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 0.5)) (* 0 1.0)))))))) into 0 6.741 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 0.5)) (+ (* 0 1.0) (* 0 0)))))))) into 0 6.742 * [backup-simplify]: Simplify (+ 0 0) into 0 6.743 * [backup-simplify]: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)) (* 0.5 (/ 0 1.0)) (* 0 (/ 0 1.0)) (* 0 (/ 0 1.0)) (* 0 (/ 0 1.0)) (* 0 (/ 0.25 1.0)) (* 0 (/ (- 0.5) 1.0)))) into 0 6.743 * [backup-simplify]: Simplify 0 into 0 6.745 * [backup-simplify]: Simplify (+ (* 0.5 (/ 1 (- N))) 1.0) into (- 1.0 (* 0.5 (/ 1 N))) 6.745 * * * * [progress]: [ 2 / 4 ] generating series at (2 3) 6.745 * [backup-simplify]: Simplify (/ 0.3333333333333333 (pow N 3)) into (/ 0.3333333333333333 (pow N 3)) 6.745 * [approximate]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in (N) around 0 6.745 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 6.746 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 6.746 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.746 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.746 * [taylor]: Taking taylor expansion of N in N 6.746 * [backup-simplify]: Simplify 0 into 0 6.746 * [backup-simplify]: Simplify 1 into 1 6.746 * [backup-simplify]: Simplify (* 1 1) into 1 6.747 * [backup-simplify]: Simplify (* 1 1) into 1 6.747 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 6.747 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 6.747 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 6.747 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.747 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.747 * [taylor]: Taking taylor expansion of N in N 6.747 * [backup-simplify]: Simplify 0 into 0 6.747 * [backup-simplify]: Simplify 1 into 1 6.748 * [backup-simplify]: Simplify (* 1 1) into 1 6.748 * [backup-simplify]: Simplify (* 1 1) into 1 6.748 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 6.749 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.749 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.750 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.751 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)))) into 0 6.751 * [backup-simplify]: Simplify 0 into 0 6.752 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.752 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.753 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.753 * [backup-simplify]: Simplify 0 into 0 6.754 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.755 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.756 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.756 * [backup-simplify]: Simplify 0 into 0 6.758 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.759 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.760 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.760 * [backup-simplify]: Simplify 0 into 0 6.761 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.763 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.763 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.764 * [backup-simplify]: Simplify 0 into 0 6.765 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.766 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.767 * [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 6.767 * [backup-simplify]: Simplify 0 into 0 6.768 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 3)) into (/ 0.3333333333333333 (pow N 3)) 6.768 * [backup-simplify]: Simplify (/ 0.3333333333333333 (pow (/ 1 N) 3)) into (* 0.3333333333333333 (pow N 3)) 6.768 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in (N) around 0 6.768 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 6.768 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 6.768 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.768 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.768 * [taylor]: Taking taylor expansion of N in N 6.768 * [backup-simplify]: Simplify 0 into 0 6.768 * [backup-simplify]: Simplify 1 into 1 6.768 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 6.768 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 6.768 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.768 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.768 * [taylor]: Taking taylor expansion of N in N 6.768 * [backup-simplify]: Simplify 0 into 0 6.768 * [backup-simplify]: Simplify 1 into 1 6.769 * [backup-simplify]: Simplify (* 1 1) into 1 6.769 * [backup-simplify]: Simplify (* 1 1) into 1 6.769 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 6.769 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 6.770 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.771 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.771 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 6.772 * [backup-simplify]: Simplify 0 into 0 6.772 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.773 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.774 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 6.774 * [backup-simplify]: Simplify 0 into 0 6.775 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.777 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.778 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.778 * [backup-simplify]: Simplify 0 into 0 6.779 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.780 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.781 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.781 * [backup-simplify]: Simplify 0 into 0 6.783 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.784 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.786 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.786 * [backup-simplify]: Simplify 0 into 0 6.787 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.789 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.790 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.790 * [backup-simplify]: Simplify 0 into 0 6.791 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 3)) into (/ 0.3333333333333333 (pow N 3)) 6.791 * [backup-simplify]: Simplify (/ 0.3333333333333333 (pow (/ 1 (- N)) 3)) into (* -0.3333333333333333 (pow N 3)) 6.791 * [approximate]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in (N) around 0 6.791 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 6.791 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 6.791 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 6.791 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.791 * [taylor]: Taking taylor expansion of N in N 6.791 * [backup-simplify]: Simplify 0 into 0 6.791 * [backup-simplify]: Simplify 1 into 1 6.791 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 6.791 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 6.791 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 6.791 * [taylor]: Taking taylor expansion of (pow N 3) in N 6.791 * [taylor]: Taking taylor expansion of N in N 6.791 * [backup-simplify]: Simplify 0 into 0 6.791 * [backup-simplify]: Simplify 1 into 1 6.792 * [backup-simplify]: Simplify (* 1 1) into 1 6.792 * [backup-simplify]: Simplify (* 1 1) into 1 6.793 * [backup-simplify]: Simplify (* -0.3333333333333333 1) into -0.3333333333333333 6.793 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 6.793 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.794 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.795 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (* 0 1)) into 0 6.795 * [backup-simplify]: Simplify 0 into 0 6.796 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.797 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.798 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 6.798 * [backup-simplify]: Simplify 0 into 0 6.799 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.800 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.801 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.801 * [backup-simplify]: Simplify 0 into 0 6.802 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.804 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.805 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.805 * [backup-simplify]: Simplify 0 into 0 6.806 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.807 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.808 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.808 * [backup-simplify]: Simplify 0 into 0 6.809 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.810 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.811 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.811 * [backup-simplify]: Simplify 0 into 0 6.811 * [backup-simplify]: Simplify (* -0.3333333333333333 (pow (/ 1 (- N)) 3)) into (/ 0.3333333333333333 (pow N 3)) 6.811 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 6.811 * [backup-simplify]: Simplify (pow (/ 0.5 N) 3) into (pow (/ 0.5 N) 3) 6.811 * [approximate]: Taking taylor expansion of (pow (/ 0.5 N) 3) in (N) around 0 6.811 * [taylor]: Taking taylor expansion of (pow (/ 0.5 N) 3) in N 6.811 * [taylor]: Taking taylor expansion of (/ 0.5 N) in N 6.811 * [taylor]: Taking taylor expansion of 0.5 in N 6.811 * [backup-simplify]: Simplify 0.5 into 0.5 6.811 * [taylor]: Taking taylor expansion of N in N 6.811 * [backup-simplify]: Simplify 0 into 0 6.811 * [backup-simplify]: Simplify 1 into 1 6.812 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 6.812 * [taylor]: Taking taylor expansion of (pow (/ 0.5 N) 3) in N 6.812 * [taylor]: Taking taylor expansion of (/ 0.5 N) in N 6.812 * [taylor]: Taking taylor expansion of 0.5 in N 6.812 * [backup-simplify]: Simplify 0.5 into 0.5 6.812 * [taylor]: Taking taylor expansion of N in N 6.812 * [backup-simplify]: Simplify 0 into 0 6.812 * [backup-simplify]: Simplify 1 into 1 6.812 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 6.812 * [backup-simplify]: Simplify (* 0.5 0.5) into 0.25 6.812 * [backup-simplify]: Simplify (* 0.5 0.25) into 0.125 6.813 * [backup-simplify]: Simplify 0.125 into 0.125 6.813 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0 6.813 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 0.5)) into 0 6.814 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 0.25)) into 0 6.814 * [backup-simplify]: Simplify 0 into 0 6.814 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.815 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 0.5))) into 0 6.816 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 0.25))) into 0 6.816 * [backup-simplify]: Simplify 0 into 0 6.816 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.817 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 0.5)))) into 0 6.817 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 0.25)))) into 0 6.817 * [backup-simplify]: Simplify 0 into 0 6.818 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.819 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0.5))))) into 0 6.819 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0.25))))) into 0 6.819 * [backup-simplify]: Simplify 0 into 0 6.820 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.821 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0.5)))))) into 0 6.821 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0.25)))))) into 0 6.822 * [backup-simplify]: Simplify 0 into 0 6.822 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.823 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0.5))))))) into 0 6.824 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0.25))))))) into 0 6.824 * [backup-simplify]: Simplify 0 into 0 6.824 * [backup-simplify]: Simplify (* 0.125 (pow (/ 1 N) 3)) into (/ 0.125 (pow N 3)) 6.824 * [backup-simplify]: Simplify (pow (/ 0.5 (/ 1 N)) 3) into (pow (* 0.5 N) 3) 6.824 * [approximate]: Taking taylor expansion of (pow (* 0.5 N) 3) in (N) around 0 6.824 * [taylor]: Taking taylor expansion of (pow (* 0.5 N) 3) in N 6.824 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 6.824 * [taylor]: Taking taylor expansion of 0.5 in N 6.824 * [backup-simplify]: Simplify 0.5 into 0.5 6.824 * [taylor]: Taking taylor expansion of N in N 6.824 * [backup-simplify]: Simplify 0 into 0 6.824 * [backup-simplify]: Simplify 1 into 1 6.825 * [backup-simplify]: Simplify (* 0.5 0) into 0 6.825 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 6.825 * [taylor]: Taking taylor expansion of (pow (* 0.5 N) 3) in N 6.826 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 6.826 * [taylor]: Taking taylor expansion of 0.5 in N 6.826 * [backup-simplify]: Simplify 0.5 into 0.5 6.826 * [taylor]: Taking taylor expansion of N in N 6.826 * [backup-simplify]: Simplify 0 into 0 6.826 * [backup-simplify]: Simplify 1 into 1 6.826 * [backup-simplify]: Simplify (* 0.5 0) into 0 6.827 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 6.827 * [backup-simplify]: Simplify (* 0.5 0.5) into 0.25 6.827 * [backup-simplify]: Simplify (* 0.5 0.25) into 0.125 6.827 * [backup-simplify]: Simplify 0.125 into 0.125 6.828 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 6.828 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 0.5)) into 0 6.829 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 0.25)) into 0 6.829 * [backup-simplify]: Simplify 0 into 0 6.829 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.830 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 0.5))) into 0 6.830 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 0.25))) into 0 6.830 * [backup-simplify]: Simplify 0 into 0 6.831 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 6.832 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 0.5)))) into 0 6.832 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 0.25)))) into 0 6.832 * [backup-simplify]: Simplify 0 into 0 6.833 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 6.834 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0.5))))) into 0 6.835 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0.25))))) into 0 6.835 * [backup-simplify]: Simplify 0 into 0 6.836 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 6.837 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0.5)))))) into 0 6.838 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0.25)))))) into 0 6.838 * [backup-simplify]: Simplify 0 into 0 6.840 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 6.842 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0.5))))))) into 0 6.843 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0.25))))))) into 0 6.843 * [backup-simplify]: Simplify 0 into 0 6.844 * [backup-simplify]: Simplify (* 0.125 (pow (/ 1 N) 3)) into (/ 0.125 (pow N 3)) 6.844 * [backup-simplify]: Simplify (pow (/ 0.5 (/ 1 (- N))) 3) into (pow (* -0.5 N) 3) 6.844 * [approximate]: Taking taylor expansion of (pow (* -0.5 N) 3) in (N) around 0 6.844 * [taylor]: Taking taylor expansion of (pow (* -0.5 N) 3) in N 6.844 * [taylor]: Taking taylor expansion of (* -0.5 N) in N 6.844 * [taylor]: Taking taylor expansion of -0.5 in N 6.844 * [backup-simplify]: Simplify -0.5 into -0.5 6.844 * [taylor]: Taking taylor expansion of N in N 6.844 * [backup-simplify]: Simplify 0 into 0 6.844 * [backup-simplify]: Simplify 1 into 1 6.844 * [backup-simplify]: Simplify (* -0.5 0) into 0 6.846 * [backup-simplify]: Simplify (+ (* -0.5 1) (* 0 0)) into (- 0.5) 6.846 * [taylor]: Taking taylor expansion of (pow (* -0.5 N) 3) in N 6.846 * [taylor]: Taking taylor expansion of (* -0.5 N) in N 6.846 * [taylor]: Taking taylor expansion of -0.5 in N 6.846 * [backup-simplify]: Simplify -0.5 into -0.5 6.846 * [taylor]: Taking taylor expansion of N in N 6.846 * [backup-simplify]: Simplify 0 into 0 6.846 * [backup-simplify]: Simplify 1 into 1 6.846 * [backup-simplify]: Simplify (* -0.5 0) into 0 6.848 * [backup-simplify]: Simplify (+ (* -0.5 1) (* 0 0)) into (- 0.5) 6.849 * [backup-simplify]: Simplify (* (- 0.5) (- 0.5)) into 0.25 6.850 * [backup-simplify]: Simplify (* (- 0.5) 0.25) into -0.125 6.850 * [backup-simplify]: Simplify -0.125 into -0.125 6.851 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 1) (* 0 0))) into 0 6.852 * [backup-simplify]: Simplify (+ (* (- 0.5) 0) (* 0 (- 0.5))) into 0 6.853 * [backup-simplify]: Simplify (+ (* (- 0.5) 0) (* 0 0.25)) into 0 6.853 * [backup-simplify]: Simplify 0 into 0 6.854 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.855 * [backup-simplify]: Simplify (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (- 0.5)))) into 0 6.856 * [backup-simplify]: Simplify (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 0.25))) into 0 6.856 * [backup-simplify]: Simplify 0 into 0 6.857 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 6.859 * [backup-simplify]: Simplify (+ (* (- 0.5) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 0.5))))) into 0 6.860 * [backup-simplify]: Simplify (+ (* (- 0.5) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0.25)))) into 0 6.860 * [backup-simplify]: Simplify 0 into 0 6.861 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 6.863 * [backup-simplify]: Simplify (+ (* (- 0.5) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 0.5)))))) into 0 6.865 * [backup-simplify]: Simplify (+ (* (- 0.5) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0.25))))) into 0 6.865 * [backup-simplify]: Simplify 0 into 0 6.873 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 6.875 * [backup-simplify]: Simplify (+ (* (- 0.5) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 0.5))))))) into 0 6.877 * [backup-simplify]: Simplify (+ (* (- 0.5) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0.25)))))) into 0 6.877 * [backup-simplify]: Simplify 0 into 0 6.879 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 6.881 * [backup-simplify]: Simplify (+ (* (- 0.5) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 0.5)))))))) into 0 6.883 * [backup-simplify]: Simplify (+ (* (- 0.5) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0.25))))))) into 0 6.883 * [backup-simplify]: Simplify 0 into 0 6.883 * [backup-simplify]: Simplify (* -0.125 (pow (/ 1 (- N)) 3)) into (/ 0.125 (pow N 3)) 6.883 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 3) 6.883 * [backup-simplify]: Simplify (* (/ 0.5 N) (+ 1.0 (/ 0.5 N))) into (* 0.5 (/ (+ (* 0.5 (/ 1 N)) 1.0) N)) 6.883 * [approximate]: Taking taylor expansion of (* 0.5 (/ (+ (* 0.5 (/ 1 N)) 1.0) N)) in (N) around 0 6.883 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ (* 0.5 (/ 1 N)) 1.0) N)) in N 6.883 * [taylor]: Taking taylor expansion of 0.5 in N 6.883 * [backup-simplify]: Simplify 0.5 into 0.5 6.884 * [taylor]: Taking taylor expansion of (/ (+ (* 0.5 (/ 1 N)) 1.0) N) in N 6.884 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 N)) 1.0) in N 6.884 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 N)) in N 6.884 * [taylor]: Taking taylor expansion of 0.5 in N 6.884 * [backup-simplify]: Simplify 0.5 into 0.5 6.884 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.884 * [taylor]: Taking taylor expansion of N in N 6.884 * [backup-simplify]: Simplify 0 into 0 6.884 * [backup-simplify]: Simplify 1 into 1 6.884 * [backup-simplify]: Simplify (/ 1 1) into 1 6.884 * [taylor]: Taking taylor expansion of 1.0 in N 6.884 * [backup-simplify]: Simplify 1.0 into 1.0 6.884 * [taylor]: Taking taylor expansion of N in N 6.884 * [backup-simplify]: Simplify 0 into 0 6.884 * [backup-simplify]: Simplify 1 into 1 6.885 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 6.885 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 6.886 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 6.886 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ (* 0.5 (/ 1 N)) 1.0) N)) in N 6.886 * [taylor]: Taking taylor expansion of 0.5 in N 6.886 * [backup-simplify]: Simplify 0.5 into 0.5 6.886 * [taylor]: Taking taylor expansion of (/ (+ (* 0.5 (/ 1 N)) 1.0) N) in N 6.886 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 N)) 1.0) in N 6.886 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 N)) in N 6.886 * [taylor]: Taking taylor expansion of 0.5 in N 6.886 * [backup-simplify]: Simplify 0.5 into 0.5 6.886 * [taylor]: Taking taylor expansion of (/ 1 N) in N 6.886 * [taylor]: Taking taylor expansion of N in N 6.886 * [backup-simplify]: Simplify 0 into 0 6.886 * [backup-simplify]: Simplify 1 into 1 6.886 * [backup-simplify]: Simplify (/ 1 1) into 1 6.886 * [taylor]: Taking taylor expansion of 1.0 in N 6.886 * [backup-simplify]: Simplify 1.0 into 1.0 6.886 * [taylor]: Taking taylor expansion of N in N 6.886 * [backup-simplify]: Simplify 0 into 0 6.886 * [backup-simplify]: Simplify 1 into 1 6.887 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 6.887 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 6.888 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 6.888 * [backup-simplify]: Simplify (* 0.5 0.5) into 0.25 6.888 * [backup-simplify]: Simplify 0.25 into 0.25 6.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.890 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 6.890 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.892 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 0.5 (/ 0 1)))) into 1.0 6.894 * [backup-simplify]: Simplify (+ (* 0.5 1.0) (* 0 0.5)) into 0.5 6.894 * [backup-simplify]: Simplify 0.5 into 0.5 6.895 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.895 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 6.896 * [backup-simplify]: Simplify (+ 0 0) into 0 6.897 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 6.898 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1.0) (* 0 0.5))) into 0 6.898 * [backup-simplify]: Simplify 0 into 0 6.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.900 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.901 * [backup-simplify]: Simplify (+ 0 0) into 0 6.902 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.904 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 0.5)))) into 0 6.904 * [backup-simplify]: Simplify 0 into 0 6.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.906 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.907 * [backup-simplify]: Simplify (+ 0 0) into 0 6.908 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.909 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 0.5))))) into 0 6.909 * [backup-simplify]: Simplify 0 into 0 6.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.912 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 6.913 * [backup-simplify]: Simplify (+ 0 0) into 0 6.914 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.915 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 0.5)))))) into 0 6.915 * [backup-simplify]: Simplify 0 into 0 6.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.918 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 6.918 * [backup-simplify]: Simplify (+ 0 0) into 0 6.919 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.921 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 0.5))))))) into 0 6.921 * [backup-simplify]: Simplify 0 into 0 6.922 * [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 6.924 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 6.924 * [backup-simplify]: Simplify (+ 0 0) into 0 6.926 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.928 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 0.5)))))))) into 0 6.928 * [backup-simplify]: Simplify 0 into 0 6.928 * [backup-simplify]: Simplify (+ (* 0.5 (/ 1 N)) (* 0.25 (pow (/ 1 N) 2))) into (+ (* 0.5 (/ 1 N)) (* 0.25 (/ 1 (pow N 2)))) 6.928 * [backup-simplify]: Simplify (* (/ 0.5 (/ 1 N)) (+ 1.0 (/ 0.5 (/ 1 N)))) into (* 0.5 (* (+ (* 0.5 N) 1.0) N)) 6.928 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (* 0.5 N) 1.0) N)) in (N) around 0 6.928 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (* 0.5 N) 1.0) N)) in N 6.928 * [taylor]: Taking taylor expansion of 0.5 in N 6.928 * [backup-simplify]: Simplify 0.5 into 0.5 6.928 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 N) 1.0) N) in N 6.929 * [taylor]: Taking taylor expansion of (+ (* 0.5 N) 1.0) in N 6.929 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 6.929 * [taylor]: Taking taylor expansion of 0.5 in N 6.929 * [backup-simplify]: Simplify 0.5 into 0.5 6.929 * [taylor]: Taking taylor expansion of N in N 6.929 * [backup-simplify]: Simplify 0 into 0 6.929 * [backup-simplify]: Simplify 1 into 1 6.929 * [taylor]: Taking taylor expansion of 1.0 in N 6.929 * [backup-simplify]: Simplify 1.0 into 1.0 6.929 * [taylor]: Taking taylor expansion of N in N 6.929 * [backup-simplify]: Simplify 0 into 0 6.929 * [backup-simplify]: Simplify 1 into 1 6.929 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (* 0.5 N) 1.0) N)) in N 6.929 * [taylor]: Taking taylor expansion of 0.5 in N 6.929 * [backup-simplify]: Simplify 0.5 into 0.5 6.929 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 N) 1.0) N) in N 6.929 * [taylor]: Taking taylor expansion of (+ (* 0.5 N) 1.0) in N 6.929 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 6.929 * [taylor]: Taking taylor expansion of 0.5 in N 6.929 * [backup-simplify]: Simplify 0.5 into 0.5 6.929 * [taylor]: Taking taylor expansion of N in N 6.929 * [backup-simplify]: Simplify 0 into 0 6.929 * [backup-simplify]: Simplify 1 into 1 6.929 * [taylor]: Taking taylor expansion of 1.0 in N 6.929 * [backup-simplify]: Simplify 1.0 into 1.0 6.929 * [taylor]: Taking taylor expansion of N in N 6.929 * [backup-simplify]: Simplify 0 into 0 6.929 * [backup-simplify]: Simplify 1 into 1 6.930 * [backup-simplify]: Simplify (* 0.5 0) into 0 6.930 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 6.931 * [backup-simplify]: Simplify (* 1.0 0) into 0 6.931 * [backup-simplify]: Simplify (* 0.5 0) into 0 6.931 * [backup-simplify]: Simplify 0 into 0 6.932 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 6.933 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 6.934 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0.5 0)) into 1.0 6.936 * [backup-simplify]: Simplify (+ (* 0.5 1.0) (* 0 0)) into 0.5 6.936 * [backup-simplify]: Simplify 0.5 into 0.5 6.937 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 6.937 * [backup-simplify]: Simplify (+ 0 0) into 0 6.940 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0.5 1) (* 0 0))) into 0.5 6.942 * [backup-simplify]: Simplify (+ (* 0.5 0.5) (+ (* 0 1.0) (* 0 0))) into 0.25 6.942 * [backup-simplify]: Simplify 0.25 into 0.25 6.943 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.943 * [backup-simplify]: Simplify (+ 0 0) into 0 6.945 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0.5 0) (+ (* 0 1) (* 0 0)))) into 0 6.946 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0.5) (+ (* 0 1.0) (* 0 0)))) into 0 6.946 * [backup-simplify]: Simplify 0 into 0 6.947 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 6.947 * [backup-simplify]: Simplify (+ 0 0) into 0 6.949 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 6.950 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0.5) (+ (* 0 1.0) (* 0 0))))) into 0 6.950 * [backup-simplify]: Simplify 0 into 0 6.952 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 6.952 * [backup-simplify]: Simplify (+ 0 0) into 0 6.954 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 6.955 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.5) (+ (* 0 1.0) (* 0 0)))))) into 0 6.956 * [backup-simplify]: Simplify 0 into 0 6.957 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 6.957 * [backup-simplify]: Simplify (+ 0 0) into 0 6.959 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 6.961 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.5) (+ (* 0 1.0) (* 0 0))))))) into 0 6.961 * [backup-simplify]: Simplify 0 into 0 6.963 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 6.964 * [backup-simplify]: Simplify (+ 0 0) into 0 6.966 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 6.968 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.5) (+ (* 0 1.0) (* 0 0)))))))) into 0 6.968 * [backup-simplify]: Simplify 0 into 0 6.970 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 6.971 * [backup-simplify]: Simplify (+ 0 0) into 0 6.973 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 6.976 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.5) (+ (* 0 1.0) (* 0 0))))))))) into 0 6.976 * [backup-simplify]: Simplify 0 into 0 6.976 * [backup-simplify]: Simplify (+ (* 0.25 (pow (/ 1 N) 2)) (* 0.5 (/ 1 N))) into (+ (* 0.5 (/ 1 N)) (* 0.25 (/ 1 (pow N 2)))) 6.976 * [backup-simplify]: Simplify (* (/ 0.5 (/ 1 (- N))) (+ 1.0 (/ 0.5 (/ 1 (- N))))) into (* -0.5 (* N (- 1.0 (* 0.5 N)))) 6.976 * [approximate]: Taking taylor expansion of (* -0.5 (* N (- 1.0 (* 0.5 N)))) in (N) around 0 6.976 * [taylor]: Taking taylor expansion of (* -0.5 (* N (- 1.0 (* 0.5 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 (* N (- 1.0 (* 0.5 N))) in N 6.976 * [taylor]: Taking taylor expansion of N in N 6.977 * [backup-simplify]: Simplify 0 into 0 6.977 * [backup-simplify]: Simplify 1 into 1 6.977 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 N)) in N 6.977 * [taylor]: Taking taylor expansion of 1.0 in N 6.977 * [backup-simplify]: Simplify 1.0 into 1.0 6.977 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 6.977 * [taylor]: Taking taylor expansion of 0.5 in N 6.977 * [backup-simplify]: Simplify 0.5 into 0.5 6.977 * [taylor]: Taking taylor expansion of N in N 6.977 * [backup-simplify]: Simplify 0 into 0 6.977 * [backup-simplify]: Simplify 1 into 1 6.977 * [taylor]: Taking taylor expansion of (* -0.5 (* N (- 1.0 (* 0.5 N)))) in N 6.977 * [taylor]: Taking taylor expansion of -0.5 in N 6.977 * [backup-simplify]: Simplify -0.5 into -0.5 6.977 * [taylor]: Taking taylor expansion of (* N (- 1.0 (* 0.5 N))) in N 6.977 * [taylor]: Taking taylor expansion of N in N 6.977 * [backup-simplify]: Simplify 0 into 0 6.977 * [backup-simplify]: Simplify 1 into 1 6.977 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 N)) in N 6.977 * [taylor]: Taking taylor expansion of 1.0 in N 6.977 * [backup-simplify]: Simplify 1.0 into 1.0 6.977 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 6.977 * [taylor]: Taking taylor expansion of 0.5 in N 6.977 * [backup-simplify]: Simplify 0.5 into 0.5 6.977 * [taylor]: Taking taylor expansion of N in N 6.977 * [backup-simplify]: Simplify 0 into 0 6.977 * [backup-simplify]: Simplify 1 into 1 6.978 * [backup-simplify]: Simplify (* 0.5 0) into 0 6.978 * [backup-simplify]: Simplify (- 0) into 0 6.978 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.979 * [backup-simplify]: Simplify (* 0 1.0) into 0 6.979 * [backup-simplify]: Simplify (* -0.5 0) into 0 6.979 * [backup-simplify]: Simplify 0 into 0 6.980 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 6.980 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 6.981 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 6.982 * [backup-simplify]: Simplify (+ (* 0 (- 0.5)) (* 1 1.0)) into 1.0 6.983 * [backup-simplify]: Simplify (+ (* -0.5 1.0) (* 0 0)) into (- 0.5) 6.983 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 6.984 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 6.984 * [backup-simplify]: Simplify (- 0) into 0 6.984 * [backup-simplify]: Simplify (+ 0 0) into 0 6.986 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (- 0.5)) (* 0 1.0))) into (- 0.5) 6.988 * [backup-simplify]: Simplify (+ (* -0.5 (- 0.5)) (+ (* 0 1.0) (* 0 0))) into 0.25 6.988 * [backup-simplify]: Simplify 0.25 into 0.25 6.988 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.989 * [backup-simplify]: Simplify (- 0) into 0 6.989 * [backup-simplify]: Simplify (+ 0 0) into 0 6.990 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (- 0.5)) (* 0 1.0)))) into 0 6.990 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 (- 0.5)) (+ (* 0 1.0) (* 0 0)))) into 0 6.990 * [backup-simplify]: Simplify 0 into 0 6.991 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 6.991 * [backup-simplify]: Simplify (- 0) into 0 6.992 * [backup-simplify]: Simplify (+ 0 0) into 0 6.993 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 (- 0.5)) (* 0 1.0))))) into 0 6.993 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 (- 0.5)) (+ (* 0 1.0) (* 0 0))))) into 0 6.994 * [backup-simplify]: Simplify 0 into 0 6.994 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 6.995 * [backup-simplify]: Simplify (- 0) into 0 6.995 * [backup-simplify]: Simplify (+ 0 0) into 0 6.996 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 0.5)) (* 0 1.0)))))) into 0 6.997 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 0.5)) (+ (* 0 1.0) (* 0 0)))))) into 0 6.997 * [backup-simplify]: Simplify 0 into 0 6.998 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 6.998 * [backup-simplify]: Simplify (- 0) into 0 6.998 * [backup-simplify]: Simplify (+ 0 0) into 0 6.999 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 0.5)) (* 0 1.0))))))) into 0 7.001 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 0.5)) (+ (* 0 1.0) (* 0 0))))))) into 0 7.001 * [backup-simplify]: Simplify 0 into 0 7.007 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 7.008 * [backup-simplify]: Simplify (- 0) into 0 7.008 * [backup-simplify]: Simplify (+ 0 0) into 0 7.010 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 0.5)) (* 0 1.0)))))))) into 0 7.013 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 0.5)) (+ (* 0 1.0) (* 0 0)))))))) into 0 7.013 * [backup-simplify]: Simplify 0 into 0 7.015 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 7.015 * [backup-simplify]: Simplify (- 0) into 0 7.016 * [backup-simplify]: Simplify (+ 0 0) into 0 7.018 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 0.5)) (* 0 1.0))))))))) into 0 7.020 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 0.5)) (+ (* 0 1.0) (* 0 0))))))))) into 0 7.020 * [backup-simplify]: Simplify 0 into 0 7.021 * [backup-simplify]: Simplify (+ (* 0.25 (pow (/ 1 (- N)) 2)) (* (- 0.5) (/ 1 (- N)))) into (+ (* 0.5 (/ 1 N)) (* 0.25 (/ 1 (pow N 2)))) 7.021 * * * [progress]: simplifying candidates 7.028 * [simplify]: Simplifying: (expm1 (/ (- (pow 1.0 3) (pow (/ 0.5 N) 3)) (fma 1.0 1.0 (* (/ 0.5 N) (+ 1.0 (/ 0.5 N)))))) (log1p (/ (- (pow 1.0 3) (pow (/ 0.5 N) 3)) (fma 1.0 1.0 (* (/ 0.5 N) (+ 1.0 (/ 0.5 N)))))) (- (log (- (pow 1.0 3) (pow (/ 0.5 N) 3))) (log (fma 1.0 1.0 (* (/ 0.5 N) (+ 1.0 (/ 0.5 N)))))) (log (/ (- (pow 1.0 3) (pow (/ 0.5 N) 3)) (fma 1.0 1.0 (* (/ 0.5 N) (+ 1.0 (/ 0.5 N)))))) (exp (/ (- (pow 1.0 3) (pow (/ 0.5 N) 3)) (fma 1.0 1.0 (* (/ 0.5 N) (+ 1.0 (/ 0.5 N)))))) (/ (* (* (- (pow 1.0 3) (pow (/ 0.5 N) 3)) (- (pow 1.0 3) (pow (/ 0.5 N) 3))) (- (pow 1.0 3) (pow (/ 0.5 N) 3))) (* (* (fma 1.0 1.0 (* (/ 0.5 N) (+ 1.0 (/ 0.5 N)))) (fma 1.0 1.0 (* (/ 0.5 N) (+ 1.0 (/ 0.5 N))))) (fma 1.0 1.0 (* (/ 0.5 N) (+ 1.0 (/ 0.5 N)))))) (* (cbrt (/ (- (pow 1.0 3) (pow (/ 0.5 N) 3)) (fma 1.0 1.0 (* (/ 0.5 N) (+ 1.0 (/ 0.5 N)))))) (cbrt (/ (- (pow 1.0 3) (pow (/ 0.5 N) 3)) (fma 1.0 1.0 (* (/ 0.5 N) (+ 1.0 (/ 0.5 N))))))) (cbrt (/ (- (pow 1.0 3) (pow (/ 0.5 N) 3)) (fma 1.0 1.0 (* (/ 0.5 N) (+ 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))))) (/ (- (pow 1.0 3) (pow (/ 0.5 N) 3)) (fma 1.0 1.0 (* (/ 0.5 N) (+ 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)))))) (sqrt (/ (- (pow 1.0 3) (pow (/ 0.5 N) 3)) (fma 1.0 1.0 (* (/ 0.5 N) (+ 1.0 (/ 0.5 N)))))) (sqrt (/ (- (pow 1.0 3) (pow (/ 0.5 N) 3)) (fma 1.0 1.0 (* (/ 0.5 N) (+ 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))))) (/ (pow 1.0 3) (fma 1.0 1.0 (* (/ 0.5 N) (+ 1.0 (/ 0.5 N))))) (/ (pow (/ 0.5 N) 3) (fma 1.0 1.0 (* (/ 0.5 N) (+ 1.0 (/ 0.5 N))))) (/ (* (cbrt (- (pow 1.0 3) (pow (/ 0.5 N) 3))) (cbrt (- (pow 1.0 3) (pow (/ 0.5 N) 3)))) (* (cbrt (fma 1.0 1.0 (* (/ 0.5 N) (+ 1.0 (/ 0.5 N))))) (cbrt (fma 1.0 1.0 (* (/ 0.5 N) (+ 1.0 (/ 0.5 N))))))) (/ (cbrt (- (pow 1.0 3) (pow (/ 0.5 N) 3))) (cbrt (fma 1.0 1.0 (* (/ 0.5 N) (+ 1.0 (/ 0.5 N)))))) (/ (* (cbrt (- (pow 1.0 3) (pow (/ 0.5 N) 3))) (cbrt (- (pow 1.0 3) (pow (/ 0.5 N) 3)))) (sqrt (fma 1.0 1.0 (* (/ 0.5 N) (+ 1.0 (/ 0.5 N)))))) (/ (cbrt (- (pow 1.0 3) (pow (/ 0.5 N) 3))) (sqrt (fma 1.0 1.0 (* (/ 0.5 N) (+ 1.0 (/ 0.5 N)))))) (/ (* (cbrt (- (pow 1.0 3) (pow (/ 0.5 N) 3))) (cbrt (- (pow 1.0 3) (pow (/ 0.5 N) 3)))) 1) (/ (cbrt (- (pow 1.0 3) (pow (/ 0.5 N) 3))) (fma 1.0 1.0 (* (/ 0.5 N) (+ 1.0 (/ 0.5 N))))) (/ (sqrt (- (pow 1.0 3) (pow (/ 0.5 N) 3))) (* (cbrt (fma 1.0 1.0 (* (/ 0.5 N) (+ 1.0 (/ 0.5 N))))) (cbrt (fma 1.0 1.0 (* (/ 0.5 N) (+ 1.0 (/ 0.5 N))))))) (/ (sqrt (- (pow 1.0 3) (pow (/ 0.5 N) 3))) (cbrt (fma 1.0 1.0 (* (/ 0.5 N) (+ 1.0 (/ 0.5 N)))))) (/ (sqrt (- (pow 1.0 3) (pow (/ 0.5 N) 3))) (sqrt (fma 1.0 1.0 (* (/ 0.5 N) (+ 1.0 (/ 0.5 N)))))) (/ (sqrt (- (pow 1.0 3) (pow (/ 0.5 N) 3))) (sqrt (fma 1.0 1.0 (* (/ 0.5 N) (+ 1.0 (/ 0.5 N)))))) (/ (sqrt (- (pow 1.0 3) (pow (/ 0.5 N) 3))) 1) (/ (sqrt (- (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 (fma 1.0 1.0 (* (/ 0.5 N) (+ 1.0 (/ 0.5 N))))) (cbrt (fma 1.0 1.0 (* (/ 0.5 N) (+ 1.0 (/ 0.5 N))))))) (/ (- 1.0 (/ 0.5 N)) (cbrt (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)))) (sqrt (fma 1.0 1.0 (* (/ 0.5 N) (+ 1.0 (/ 0.5 N)))))) (/ (- 1.0 (/ 0.5 N)) (sqrt (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)))) 1) (/ (- 1.0 (/ 0.5 N)) (fma 1.0 1.0 (* (/ 0.5 N) (+ 1.0 (/ 0.5 N))))) (/ 1 (* (cbrt (fma 1.0 1.0 (* (/ 0.5 N) (+ 1.0 (/ 0.5 N))))) (cbrt (fma 1.0 1.0 (* (/ 0.5 N) (+ 1.0 (/ 0.5 N))))))) (/ (- (pow 1.0 3) (pow (/ 0.5 N) 3)) (cbrt (fma 1.0 1.0 (* (/ 0.5 N) (+ 1.0 (/ 0.5 N)))))) (/ 1 (sqrt (fma 1.0 1.0 (* (/ 0.5 N) (+ 1.0 (/ 0.5 N)))))) (/ (- (pow 1.0 3) (pow (/ 0.5 N) 3)) (sqrt (fma 1.0 1.0 (* (/ 0.5 N) (+ 1.0 (/ 0.5 N)))))) (/ 1 1) (/ (- (pow 1.0 3) (pow (/ 0.5 N) 3)) (fma 1.0 1.0 (* (/ 0.5 N) (+ 1.0 (/ 0.5 N))))) (/ (+ (pow (sqrt 1.0) 3) (pow (sqrt (/ 0.5 N)) 3)) (* (cbrt (fma 1.0 1.0 (* (/ 0.5 N) (+ 1.0 (/ 0.5 N))))) (cbrt (fma 1.0 1.0 (* (/ 0.5 N) (+ 1.0 (/ 0.5 N))))))) (/ (- (pow (sqrt 1.0) 3) (pow (sqrt (/ 0.5 N)) 3)) (cbrt (fma 1.0 1.0 (* (/ 0.5 N) (+ 1.0 (/ 0.5 N)))))) (/ (+ (pow (sqrt 1.0) 3) (pow (sqrt (/ 0.5 N)) 3)) (sqrt (fma 1.0 1.0 (* (/ 0.5 N) (+ 1.0 (/ 0.5 N)))))) (/ (- (pow (sqrt 1.0) 3) (pow (sqrt (/ 0.5 N)) 3)) (sqrt (fma 1.0 1.0 (* (/ 0.5 N) (+ 1.0 (/ 0.5 N)))))) (/ (+ (pow (sqrt 1.0) 3) (pow (sqrt (/ 0.5 N)) 3)) 1) (/ (- (pow (sqrt 1.0) 3) (pow (sqrt (/ 0.5 N)) 3)) (fma 1.0 1.0 (* (/ 0.5 N) (+ 1.0 (/ 0.5 N))))) (/ (+ (pow (sqrt 1.0) 3) (pow (/ (sqrt 0.5) (sqrt N)) 3)) (* (cbrt (fma 1.0 1.0 (* (/ 0.5 N) (+ 1.0 (/ 0.5 N))))) (cbrt (fma 1.0 1.0 (* (/ 0.5 N) (+ 1.0 (/ 0.5 N))))))) (/ (- (pow (sqrt 1.0) 3) (pow (/ (sqrt 0.5) (sqrt N)) 3)) (cbrt (fma 1.0 1.0 (* (/ 0.5 N) (+ 1.0 (/ 0.5 N)))))) (/ (+ (pow (sqrt 1.0) 3) (pow (/ (sqrt 0.5) (sqrt N)) 3)) (sqrt (fma 1.0 1.0 (* (/ 0.5 N) (+ 1.0 (/ 0.5 N)))))) (/ (- (pow (sqrt 1.0) 3) (pow (/ (sqrt 0.5) (sqrt N)) 3)) (sqrt (fma 1.0 1.0 (* (/ 0.5 N) (+ 1.0 (/ 0.5 N)))))) (/ (+ (pow (sqrt 1.0) 3) (pow (/ (sqrt 0.5) (sqrt N)) 3)) 1) (/ (- (pow (sqrt 1.0) 3) (pow (/ (sqrt 0.5) (sqrt N)) 3)) (fma 1.0 1.0 (* (/ 0.5 N) (+ 1.0 (/ 0.5 N))))) (/ (+ (pow (sqrt 1.0) 3) (pow (sqrt (/ 0.5 N)) 3)) (* (cbrt (fma 1.0 1.0 (* (/ 0.5 N) (+ 1.0 (/ 0.5 N))))) (cbrt (fma 1.0 1.0 (* (/ 0.5 N) (+ 1.0 (/ 0.5 N))))))) (/ (- (pow (sqrt 1.0) 3) (pow (sqrt (/ 0.5 N)) 3)) (cbrt (fma 1.0 1.0 (* (/ 0.5 N) (+ 1.0 (/ 0.5 N)))))) (/ (+ (pow (sqrt 1.0) 3) (pow (sqrt (/ 0.5 N)) 3)) (sqrt (fma 1.0 1.0 (* (/ 0.5 N) (+ 1.0 (/ 0.5 N)))))) (/ (- (pow (sqrt 1.0) 3) (pow (sqrt (/ 0.5 N)) 3)) (sqrt (fma 1.0 1.0 (* (/ 0.5 N) (+ 1.0 (/ 0.5 N)))))) (/ (+ (pow (sqrt 1.0) 3) (pow (sqrt (/ 0.5 N)) 3)) 1) (/ (- (pow (sqrt 1.0) 3) (pow (sqrt (/ 0.5 N)) 3)) (fma 1.0 1.0 (* (/ 0.5 N) (+ 1.0 (/ 0.5 N))))) (/ (+ (pow (sqrt 1.0) 3) (pow (/ (sqrt 0.5) (sqrt N)) 3)) (* (cbrt (fma 1.0 1.0 (* (/ 0.5 N) (+ 1.0 (/ 0.5 N))))) (cbrt (fma 1.0 1.0 (* (/ 0.5 N) (+ 1.0 (/ 0.5 N))))))) (/ (- (pow (sqrt 1.0) 3) (pow (/ (sqrt 0.5) (sqrt N)) 3)) (cbrt (fma 1.0 1.0 (* (/ 0.5 N) (+ 1.0 (/ 0.5 N)))))) (/ (+ (pow (sqrt 1.0) 3) (pow (/ (sqrt 0.5) (sqrt N)) 3)) (sqrt (fma 1.0 1.0 (* (/ 0.5 N) (+ 1.0 (/ 0.5 N)))))) (/ (- (pow (sqrt 1.0) 3) (pow (/ (sqrt 0.5) (sqrt N)) 3)) (sqrt (fma 1.0 1.0 (* (/ 0.5 N) (+ 1.0 (/ 0.5 N)))))) (/ (+ (pow (sqrt 1.0) 3) (pow (/ (sqrt 0.5) (sqrt N)) 3)) 1) (/ (- (pow (sqrt 1.0) 3) (pow (/ (sqrt 0.5) (sqrt N)) 3)) (fma 1.0 1.0 (* (/ 0.5 N) (+ 1.0 (/ 0.5 N))))) (/ (+ (pow (sqrt 1.0) 3) (sqrt (pow (/ 0.5 N) 3))) (* (cbrt (fma 1.0 1.0 (* (/ 0.5 N) (+ 1.0 (/ 0.5 N))))) (cbrt (fma 1.0 1.0 (* (/ 0.5 N) (+ 1.0 (/ 0.5 N))))))) (/ (- (pow (sqrt 1.0) 3) (sqrt (pow (/ 0.5 N) 3))) (cbrt (fma 1.0 1.0 (* (/ 0.5 N) (+ 1.0 (/ 0.5 N)))))) (/ (+ (pow (sqrt 1.0) 3) (sqrt (pow (/ 0.5 N) 3))) (sqrt (fma 1.0 1.0 (* (/ 0.5 N) (+ 1.0 (/ 0.5 N)))))) (/ (- (pow (sqrt 1.0) 3) (sqrt (pow (/ 0.5 N) 3))) (sqrt (fma 1.0 1.0 (* (/ 0.5 N) (+ 1.0 (/ 0.5 N)))))) (/ (+ (pow (sqrt 1.0) 3) (sqrt (pow (/ 0.5 N) 3))) 1) (/ (- (pow (sqrt 1.0) 3) (sqrt (pow (/ 0.5 N) 3))) (fma 1.0 1.0 (* (/ 0.5 N) (+ 1.0 (/ 0.5 N))))) (/ (+ (pow (sqrt 1.0) 3) (pow (/ 0.5 N) (/ 3 2))) (* (cbrt (fma 1.0 1.0 (* (/ 0.5 N) (+ 1.0 (/ 0.5 N))))) (cbrt (fma 1.0 1.0 (* (/ 0.5 N) (+ 1.0 (/ 0.5 N))))))) (/ (- (pow (sqrt 1.0) 3) (pow (/ 0.5 N) (/ 3 2))) (cbrt (fma 1.0 1.0 (* (/ 0.5 N) (+ 1.0 (/ 0.5 N)))))) (/ (+ (pow (sqrt 1.0) 3) (pow (/ 0.5 N) (/ 3 2))) (sqrt (fma 1.0 1.0 (* (/ 0.5 N) (+ 1.0 (/ 0.5 N)))))) (/ (- (pow (sqrt 1.0) 3) (pow (/ 0.5 N) (/ 3 2))) (sqrt (fma 1.0 1.0 (* (/ 0.5 N) (+ 1.0 (/ 0.5 N)))))) (/ (+ (pow (sqrt 1.0) 3) (pow (/ 0.5 N) (/ 3 2))) 1) (/ (- (pow (sqrt 1.0) 3) (pow (/ 0.5 N) (/ 3 2))) (fma 1.0 1.0 (* (/ 0.5 N) (+ 1.0 (/ 0.5 N))))) (/ (+ (pow (sqrt 1.0) 3) (pow (sqrt (/ 0.5 N)) 3)) (* (cbrt (fma 1.0 1.0 (* (/ 0.5 N) (+ 1.0 (/ 0.5 N))))) (cbrt (fma 1.0 1.0 (* (/ 0.5 N) (+ 1.0 (/ 0.5 N))))))) (/ (- (pow (sqrt 1.0) 3) (pow (sqrt (/ 0.5 N)) 3)) (cbrt (fma 1.0 1.0 (* (/ 0.5 N) (+ 1.0 (/ 0.5 N)))))) (/ (+ (pow (sqrt 1.0) 3) (pow (sqrt (/ 0.5 N)) 3)) (sqrt (fma 1.0 1.0 (* (/ 0.5 N) (+ 1.0 (/ 0.5 N)))))) (/ (- (pow (sqrt 1.0) 3) (pow (sqrt (/ 0.5 N)) 3)) (sqrt (fma 1.0 1.0 (* (/ 0.5 N) (+ 1.0 (/ 0.5 N)))))) (/ (+ (pow (sqrt 1.0) 3) (pow (sqrt (/ 0.5 N)) 3)) 1) (/ (- (pow (sqrt 1.0) 3) (pow (sqrt (/ 0.5 N)) 3)) (fma 1.0 1.0 (* (/ 0.5 N) (+ 1.0 (/ 0.5 N))))) (/ (+ (pow (sqrt 1.0) 3) (pow (/ (sqrt 0.5) (sqrt N)) 3)) (* (cbrt (fma 1.0 1.0 (* (/ 0.5 N) (+ 1.0 (/ 0.5 N))))) (cbrt 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2)))) (+ (* 0.5 (/ 1 N)) (* 0.25 (/ 1 (pow N 2)))) 7.037 * * [simplify]: Extracting # 0 : cost 0 7.038 * * [simplify]: Extracting # 1 : cost 0 7.039 * * [simplify]: Extracting # 2 : cost 0 7.040 * * [simplify]: Extracting # 3 : cost 0 7.040 * * [simplify]: Extracting # 4 : cost 0 7.041 * * [simplify]: Extracting # 5 : cost 0 7.042 * * [simplify]: Extracting # 6 : cost 0 7.043 * * [simplify]: Extracting # 7 : cost 0 7.044 * * [simplify]: iteration 0 : 415 enodes (cost 8156 ) 7.203 * * [simplify]: Extracting # 0 : cost 0 7.206 * * [simplify]: Extracting # 1 : cost 0 7.209 * * [simplify]: Extracting # 2 : cost 0 7.212 * * [simplify]: Extracting # 3 : cost 0 7.214 * * [simplify]: Extracting # 4 : cost 0 7.217 * * [simplify]: iteration 1 : 1046 enodes (cost 7638 ) 8.130 * * [simplify]: Extracting # 0 : cost 0 8.142 * * [simplify]: Extracting # 1 : cost 0 8.153 * * [simplify]: Extracting # 2 : cost 0 8.159 * * [simplify]: Extracting # 3 : cost 0 8.164 * * [simplify]: Extracting # 4 : cost 0 8.170 * * [simplify]: iteration 2 : 4418 enodes (cost 7390 ) 10.498 * * [simplify]: Extracting # 0 : cost 0 10.505 * * [simplify]: iteration done: 5000 enodes (cost 7390 ) 10.509 * [simplify]: Simplified to: (expm1 (/ (- (pow 1.0 3) (pow (/ 0.5 N) 3)) (fma 1.0 1.0 (* (/ 0.5 N) (+ 1.0 (/ 0.5 N)))))) (log1p (/ (- (pow 1.0 3) (pow (/ 0.5 N) 3)) (fma 1.0 1.0 (* (/ 0.5 N) (+ 1.0 (/ 0.5 N)))))) (log (/ (- (pow 1.0 3) (pow (/ 0.5 N) 3)) (fma 1.0 1.0 (* (/ 0.5 N) (+ 1.0 (/ 0.5 N)))))) (log (/ (- (pow 1.0 3) (pow (/ 0.5 N) 3)) (fma 1.0 1.0 (* (/ 0.5 N) (+ 1.0 (/ 0.5 N)))))) (exp (/ (- (pow 1.0 3) (pow (/ 0.5 N) 3)) (fma 1.0 1.0 (* (/ 0.5 N) (+ 1.0 (/ 0.5 N)))))) (pow (/ (- (pow 1.0 3) (pow (/ 0.5 N) 3)) (fma 1.0 1.0 (* (/ 0.5 N) (+ 1.0 (/ 0.5 N))))) 3) (* (cbrt (/ (- (pow 1.0 3) (pow (/ 0.5 N) 3)) (fma 1.0 1.0 (* (/ 0.5 N) (+ 1.0 (/ 0.5 N)))))) (cbrt (/ (- (pow 1.0 3) (pow (/ 0.5 N) 3)) (fma 1.0 1.0 (* (/ 0.5 N) (+ 1.0 (/ 0.5 N))))))) (cbrt (/ (- (pow 1.0 3) (pow (/ 0.5 N) 3)) (fma 1.0 1.0 (* 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(pow (/ 0.5 N) 3/2) (expm1 (* (/ 0.5 N) (+ 1.0 (/ 0.5 N)))) (log1p (* (/ 0.5 N) (+ 1.0 (/ 0.5 N)))) (/ (* 0.5 (+ 1.0 (/ 0.5 N))) N) (log (* (/ 0.5 N) (+ 1.0 (/ 0.5 N)))) (log (* (/ 0.5 N) (+ 1.0 (/ 0.5 N)))) (log (* (/ 0.5 N) (+ 1.0 (/ 0.5 N)))) (exp (* (/ 0.5 N) (+ 1.0 (/ 0.5 N)))) (pow (/ (* 0.5 (+ 1.0 (/ 0.5 N))) N) 3) (pow (/ (* 0.5 (+ 1.0 (/ 0.5 N))) N) 3) (* (cbrt (* (/ 0.5 N) (+ 1.0 (/ 0.5 N)))) (cbrt (* (/ 0.5 N) (+ 1.0 (/ 0.5 N))))) (cbrt (* (/ 0.5 N) (+ 1.0 (/ 0.5 N)))) (pow (/ (* 0.5 (+ 1.0 (/ 0.5 N))) N) 3) (sqrt (* (/ 0.5 N) (+ 1.0 (/ 0.5 N)))) (sqrt (* (/ 0.5 N) (+ 1.0 (/ 0.5 N)))) (* 0.5 (+ (pow 1.0 3) (pow (/ 0.5 N) 3))) (* (fma 1.0 1.0 (* (/ 0.5 N) (- (/ 0.5 N) 1.0))) N) (* (- (* 1.0 1.0) (pow (/ 0.5 N) 2)) 0.5) (* N (- 1.0 (/ 0.5 N))) (* (sqrt (/ 0.5 N)) (sqrt (+ 1.0 (/ 0.5 N)))) (* (sqrt (/ 0.5 N)) (sqrt (+ 1.0 (/ 0.5 N)))) (* (/ (sqrt 0.5) (sqrt N)) (sqrt (+ 1.0 (/ 0.5 N)))) (* (/ (sqrt 0.5) (sqrt N)) (sqrt (+ 1.0 (/ 0.5 N)))) (* 1.0 (/ 0.5 N)) (pow (/ 0.5 N) 2) (* 1.0 (/ 0.5 N)) (pow (/ 0.5 N) 2) (* (/ 0.5 N) (* (cbrt (+ 1.0 (/ 0.5 N))) (cbrt (+ 1.0 (/ 0.5 N))))) (* (/ 0.5 N) (sqrt (+ 1.0 (/ 0.5 N)))) (/ 0.5 N) (/ 0.5 N) (* (cbrt (/ 0.5 N)) (+ 1.0 (/ 0.5 N))) (* (sqrt (/ 0.5 N)) (+ 1.0 (/ 0.5 N))) (* (/ (cbrt 0.5) (cbrt N)) (+ 1.0 (/ 0.5 N))) (* (/ (cbrt 0.5) (sqrt N)) (+ 1.0 (/ 0.5 N))) (* (/ (cbrt 0.5) N) (+ 1.0 (/ 0.5 N))) (* (/ (sqrt 0.5) (cbrt N)) (+ 1.0 (/ 0.5 N))) (* (/ (sqrt 0.5) (sqrt N)) (+ 1.0 (/ 0.5 N))) (* (/ (sqrt 0.5) N) (+ 1.0 (/ 0.5 N))) (* (/ 0.5 (cbrt N)) (+ 1.0 (/ 0.5 N))) (* (/ 0.5 (sqrt N)) (+ 1.0 (/ 0.5 N))) (/ (* 0.5 (+ 1.0 (/ 0.5 N))) N) (/ (* 0.5 (+ 1.0 (/ 0.5 N))) N) (/ (+ (/ 0.5 N) 1.0) N) (fma (pow 1.0 3) (/ 0.5 N) (pow (/ 0.5 N) 4)) (* (/ 0.5 N) (- (* 1.0 1.0) (pow (/ 0.5 N) 2))) (* 0.5 (+ 1.0 (/ 0.5 N))) (- 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)) (/ 0.125 (pow N 3)) (/ 0.125 (pow N 3)) (/ 0.125 (pow N 3)) (+ (/ 0.5 N) (/ 0.25 (* N N))) (+ (/ 0.5 N) (/ 0.25 (* N N))) (+ (/ 0.5 N) (/ 0.25 (* N N))) 10.512 * * * [progress]: adding candidates to table 11.884 * * [progress]: iteration 4 / 4 11.884 * * * [progress]: picking best candidate 11.894 * * * * [pick]: Picked # 11.894 * * * [progress]: localizing error 11.934 * * * [progress]: generating rewritten candidates 11.934 * * * * [progress]: [ 1 / 4 ] rewriting at (2 3) 11.949 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2 1 2) 11.960 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 2) 11.974 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1 3) 12.062 * * * [progress]: generating series expansions 12.062 * * * * [progress]: [ 1 / 4 ] generating series at (2 3) 12.063 * [backup-simplify]: Simplify (/ 0.3333333333333333 (pow N 3)) into (/ 0.3333333333333333 (pow N 3)) 12.063 * [approximate]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in (N) around 0 12.063 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 12.063 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 12.063 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 12.063 * [taylor]: Taking taylor expansion of (pow N 3) in N 12.063 * [taylor]: Taking taylor expansion of N in N 12.063 * [backup-simplify]: Simplify 0 into 0 12.063 * [backup-simplify]: Simplify 1 into 1 12.063 * [backup-simplify]: Simplify (* 1 1) into 1 12.064 * [backup-simplify]: Simplify (* 1 1) into 1 12.064 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 12.064 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 12.064 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 12.064 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 12.064 * [taylor]: Taking taylor expansion of (pow N 3) in N 12.064 * [taylor]: Taking taylor expansion of N in N 12.064 * [backup-simplify]: Simplify 0 into 0 12.064 * [backup-simplify]: Simplify 1 into 1 12.064 * [backup-simplify]: Simplify (* 1 1) into 1 12.064 * [backup-simplify]: Simplify (* 1 1) into 1 12.065 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 12.065 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 12.065 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.066 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.066 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)))) into 0 12.066 * [backup-simplify]: Simplify 0 into 0 12.067 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.067 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.068 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.068 * [backup-simplify]: Simplify 0 into 0 12.068 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.069 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.070 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.070 * [backup-simplify]: Simplify 0 into 0 12.070 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.071 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.072 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.072 * [backup-simplify]: Simplify 0 into 0 12.072 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 12.073 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 12.074 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.074 * [backup-simplify]: Simplify 0 into 0 12.075 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 12.077 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 12.078 * [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 12.078 * [backup-simplify]: Simplify 0 into 0 12.078 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 3)) into (/ 0.3333333333333333 (pow N 3)) 12.078 * [backup-simplify]: Simplify (/ 0.3333333333333333 (pow (/ 1 N) 3)) into (* 0.3333333333333333 (pow N 3)) 12.078 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in (N) around 0 12.078 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 12.078 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 12.078 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 12.078 * [taylor]: Taking taylor expansion of (pow N 3) in N 12.078 * [taylor]: Taking taylor expansion of N in N 12.078 * [backup-simplify]: Simplify 0 into 0 12.078 * [backup-simplify]: Simplify 1 into 1 12.078 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 12.078 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 12.078 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 12.079 * [taylor]: Taking taylor expansion of (pow N 3) in N 12.079 * [taylor]: Taking taylor expansion of N in N 12.079 * [backup-simplify]: Simplify 0 into 0 12.079 * [backup-simplify]: Simplify 1 into 1 12.079 * [backup-simplify]: Simplify (* 1 1) into 1 12.079 * [backup-simplify]: Simplify (* 1 1) into 1 12.080 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 12.080 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 12.081 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.081 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.082 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 12.082 * [backup-simplify]: Simplify 0 into 0 12.083 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.084 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.085 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 12.085 * [backup-simplify]: Simplify 0 into 0 12.086 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.087 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.088 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.088 * [backup-simplify]: Simplify 0 into 0 12.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.090 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.092 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.092 * [backup-simplify]: Simplify 0 into 0 12.093 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 12.094 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 12.096 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 12.096 * [backup-simplify]: Simplify 0 into 0 12.097 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 12.099 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 12.100 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 12.101 * [backup-simplify]: Simplify 0 into 0 12.101 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 3)) into (/ 0.3333333333333333 (pow N 3)) 12.101 * [backup-simplify]: Simplify (/ 0.3333333333333333 (pow (/ 1 (- N)) 3)) into (* -0.3333333333333333 (pow N 3)) 12.101 * [approximate]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in (N) around 0 12.101 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 12.101 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 12.101 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 12.101 * [taylor]: Taking taylor expansion of (pow N 3) in N 12.101 * [taylor]: Taking taylor expansion of N in N 12.101 * [backup-simplify]: Simplify 0 into 0 12.101 * [backup-simplify]: Simplify 1 into 1 12.101 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 12.101 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 12.101 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 12.101 * [taylor]: Taking taylor expansion of (pow N 3) in N 12.101 * [taylor]: Taking taylor expansion of N in N 12.101 * [backup-simplify]: Simplify 0 into 0 12.101 * [backup-simplify]: Simplify 1 into 1 12.102 * [backup-simplify]: Simplify (* 1 1) into 1 12.102 * [backup-simplify]: Simplify (* 1 1) into 1 12.103 * [backup-simplify]: Simplify (* -0.3333333333333333 1) into -0.3333333333333333 12.103 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 12.103 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.104 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.104 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (* 0 1)) into 0 12.104 * [backup-simplify]: Simplify 0 into 0 12.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.106 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 12.106 * [backup-simplify]: Simplify 0 into 0 12.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.107 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.107 * [backup-simplify]: Simplify 0 into 0 12.108 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.109 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.110 * [backup-simplify]: Simplify 0 into 0 12.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 12.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 12.112 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 12.112 * [backup-simplify]: Simplify 0 into 0 12.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 12.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 12.114 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 12.114 * [backup-simplify]: Simplify 0 into 0 12.115 * [backup-simplify]: Simplify (* -0.3333333333333333 (pow (/ 1 (- N)) 3)) into (/ 0.3333333333333333 (pow N 3)) 12.115 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2 1 2) 12.115 * [backup-simplify]: Simplify (pow (/ 0.5 N) 3) into (pow (/ 0.5 N) 3) 12.115 * [approximate]: Taking taylor expansion of (pow (/ 0.5 N) 3) in (N) around 0 12.115 * [taylor]: Taking taylor expansion of (pow (/ 0.5 N) 3) in N 12.115 * [taylor]: Taking taylor expansion of (/ 0.5 N) in N 12.115 * [taylor]: Taking taylor expansion of 0.5 in N 12.115 * [backup-simplify]: Simplify 0.5 into 0.5 12.115 * [taylor]: Taking taylor expansion of N in N 12.115 * [backup-simplify]: Simplify 0 into 0 12.115 * [backup-simplify]: Simplify 1 into 1 12.115 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 12.115 * [taylor]: Taking taylor expansion of (pow (/ 0.5 N) 3) in N 12.115 * [taylor]: Taking taylor expansion of (/ 0.5 N) in N 12.115 * [taylor]: Taking taylor expansion of 0.5 in N 12.115 * [backup-simplify]: Simplify 0.5 into 0.5 12.115 * [taylor]: Taking taylor expansion of N in N 12.115 * [backup-simplify]: Simplify 0 into 0 12.115 * [backup-simplify]: Simplify 1 into 1 12.116 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 12.116 * [backup-simplify]: Simplify (* 0.5 0.5) into 0.25 12.116 * [backup-simplify]: Simplify (* 0.5 0.25) into 0.125 12.116 * [backup-simplify]: Simplify 0.125 into 0.125 12.117 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0 12.117 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 0.5)) into 0 12.118 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 0.25)) into 0 12.118 * [backup-simplify]: Simplify 0 into 0 12.118 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.119 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 0.5))) into 0 12.119 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 0.25))) into 0 12.119 * [backup-simplify]: Simplify 0 into 0 12.120 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.120 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 0.5)))) into 0 12.121 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 0.25)))) into 0 12.121 * [backup-simplify]: Simplify 0 into 0 12.122 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.122 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0.5))))) into 0 12.123 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0.25))))) into 0 12.123 * [backup-simplify]: Simplify 0 into 0 12.124 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.124 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0.5)))))) into 0 12.125 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0.25)))))) into 0 12.125 * [backup-simplify]: Simplify 0 into 0 12.126 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.127 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0.5))))))) into 0 12.128 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0.25))))))) into 0 12.128 * [backup-simplify]: Simplify 0 into 0 12.128 * [backup-simplify]: Simplify (* 0.125 (pow (/ 1 N) 3)) into (/ 0.125 (pow N 3)) 12.128 * [backup-simplify]: Simplify (pow (/ 0.5 (/ 1 N)) 3) into (pow (* 0.5 N) 3) 12.128 * [approximate]: Taking taylor expansion of (pow (* 0.5 N) 3) in (N) around 0 12.128 * [taylor]: Taking taylor expansion of (pow (* 0.5 N) 3) in N 12.128 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 12.128 * [taylor]: Taking taylor expansion of 0.5 in N 12.129 * [backup-simplify]: Simplify 0.5 into 0.5 12.129 * [taylor]: Taking taylor expansion of N in N 12.129 * [backup-simplify]: Simplify 0 into 0 12.129 * [backup-simplify]: Simplify 1 into 1 12.129 * [backup-simplify]: Simplify (* 0.5 0) into 0 12.130 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 12.130 * [taylor]: Taking taylor expansion of (pow (* 0.5 N) 3) in N 12.130 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 12.130 * [taylor]: Taking taylor expansion of 0.5 in N 12.130 * [backup-simplify]: Simplify 0.5 into 0.5 12.130 * [taylor]: Taking taylor expansion of N in N 12.130 * [backup-simplify]: Simplify 0 into 0 12.130 * [backup-simplify]: Simplify 1 into 1 12.130 * [backup-simplify]: Simplify (* 0.5 0) into 0 12.131 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 12.132 * [backup-simplify]: Simplify (* 0.5 0.5) into 0.25 12.132 * [backup-simplify]: Simplify (* 0.5 0.25) into 0.125 12.132 * [backup-simplify]: Simplify 0.125 into 0.125 12.133 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 12.134 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 0.5)) into 0 12.134 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 0.25)) into 0 12.134 * [backup-simplify]: Simplify 0 into 0 12.135 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 12.137 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 0.5))) into 0 12.138 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 0.25))) into 0 12.138 * [backup-simplify]: Simplify 0 into 0 12.139 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 12.140 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 0.5)))) into 0 12.142 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 0.25)))) into 0 12.142 * [backup-simplify]: Simplify 0 into 0 12.143 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 12.144 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0.5))))) into 0 12.146 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0.25))))) into 0 12.146 * [backup-simplify]: Simplify 0 into 0 12.147 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 12.149 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0.5)))))) into 0 12.150 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0.25)))))) into 0 12.150 * [backup-simplify]: Simplify 0 into 0 12.152 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 12.158 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0.5))))))) into 0 12.160 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0.25))))))) into 0 12.160 * [backup-simplify]: Simplify 0 into 0 12.161 * [backup-simplify]: Simplify (* 0.125 (pow (/ 1 N) 3)) into (/ 0.125 (pow N 3)) 12.161 * [backup-simplify]: Simplify (pow (/ 0.5 (/ 1 (- N))) 3) into (pow (* -0.5 N) 3) 12.161 * [approximate]: Taking taylor expansion of (pow (* -0.5 N) 3) in (N) around 0 12.161 * [taylor]: Taking taylor expansion of (pow (* -0.5 N) 3) in N 12.161 * [taylor]: Taking taylor expansion of (* -0.5 N) in N 12.161 * [taylor]: Taking taylor expansion of -0.5 in N 12.161 * [backup-simplify]: Simplify -0.5 into -0.5 12.161 * [taylor]: Taking taylor expansion of N in N 12.161 * [backup-simplify]: Simplify 0 into 0 12.161 * [backup-simplify]: Simplify 1 into 1 12.162 * [backup-simplify]: Simplify (* -0.5 0) into 0 12.163 * [backup-simplify]: Simplify (+ (* -0.5 1) (* 0 0)) into (- 0.5) 12.163 * [taylor]: Taking taylor expansion of (pow (* -0.5 N) 3) in N 12.163 * [taylor]: Taking taylor expansion of (* -0.5 N) in N 12.163 * [taylor]: Taking taylor expansion of -0.5 in N 12.163 * [backup-simplify]: Simplify -0.5 into -0.5 12.163 * [taylor]: Taking taylor expansion of N in N 12.163 * [backup-simplify]: Simplify 0 into 0 12.163 * [backup-simplify]: Simplify 1 into 1 12.164 * [backup-simplify]: Simplify (* -0.5 0) into 0 12.164 * [backup-simplify]: Simplify (+ (* -0.5 1) (* 0 0)) into (- 0.5) 12.165 * [backup-simplify]: Simplify (* (- 0.5) (- 0.5)) into 0.25 12.166 * [backup-simplify]: Simplify (* (- 0.5) 0.25) into -0.125 12.166 * [backup-simplify]: Simplify -0.125 into -0.125 12.166 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 1) (* 0 0))) into 0 12.167 * [backup-simplify]: Simplify (+ (* (- 0.5) 0) (* 0 (- 0.5))) into 0 12.167 * [backup-simplify]: Simplify (+ (* (- 0.5) 0) (* 0 0.25)) into 0 12.167 * [backup-simplify]: Simplify 0 into 0 12.168 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 12.169 * [backup-simplify]: Simplify (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (- 0.5)))) into 0 12.169 * [backup-simplify]: Simplify (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 0.25))) into 0 12.169 * [backup-simplify]: Simplify 0 into 0 12.170 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 12.171 * [backup-simplify]: Simplify (+ (* (- 0.5) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 0.5))))) into 0 12.171 * [backup-simplify]: Simplify (+ (* (- 0.5) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0.25)))) into 0 12.171 * [backup-simplify]: Simplify 0 into 0 12.172 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 12.173 * [backup-simplify]: Simplify (+ (* (- 0.5) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 0.5)))))) into 0 12.174 * [backup-simplify]: Simplify (+ (* (- 0.5) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0.25))))) into 0 12.174 * [backup-simplify]: Simplify 0 into 0 12.175 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 12.175 * [backup-simplify]: Simplify (+ (* (- 0.5) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 0.5))))))) into 0 12.176 * [backup-simplify]: Simplify (+ (* (- 0.5) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0.25)))))) into 0 12.176 * [backup-simplify]: Simplify 0 into 0 12.177 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 12.178 * [backup-simplify]: Simplify (+ (* (- 0.5) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 0.5)))))))) into 0 12.179 * [backup-simplify]: Simplify (+ (* (- 0.5) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0.25))))))) into 0 12.179 * [backup-simplify]: Simplify 0 into 0 12.180 * [backup-simplify]: Simplify (* -0.125 (pow (/ 1 (- N)) 3)) into (/ 0.125 (pow N 3)) 12.180 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 2) 12.180 * [backup-simplify]: Simplify (pow (/ 0.5 N) 3) into (pow (/ 0.5 N) 3) 12.180 * [approximate]: Taking taylor expansion of (pow (/ 0.5 N) 3) in (N) around 0 12.180 * [taylor]: Taking taylor expansion of (pow (/ 0.5 N) 3) in N 12.180 * [taylor]: Taking taylor expansion of (/ 0.5 N) in N 12.180 * [taylor]: Taking taylor expansion of 0.5 in N 12.180 * [backup-simplify]: Simplify 0.5 into 0.5 12.180 * [taylor]: Taking taylor expansion of N in N 12.180 * [backup-simplify]: Simplify 0 into 0 12.180 * [backup-simplify]: Simplify 1 into 1 12.180 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 12.180 * [taylor]: Taking taylor expansion of (pow (/ 0.5 N) 3) in N 12.180 * [taylor]: Taking taylor expansion of (/ 0.5 N) in N 12.180 * [taylor]: Taking taylor expansion of 0.5 in N 12.180 * [backup-simplify]: Simplify 0.5 into 0.5 12.180 * [taylor]: Taking taylor expansion of N in N 12.180 * [backup-simplify]: Simplify 0 into 0 12.180 * [backup-simplify]: Simplify 1 into 1 12.181 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 12.181 * [backup-simplify]: Simplify (* 0.5 0.5) into 0.25 12.181 * [backup-simplify]: Simplify (* 0.5 0.25) into 0.125 12.181 * [backup-simplify]: Simplify 0.125 into 0.125 12.182 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0 12.182 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 0.5)) into 0 12.183 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 0.25)) into 0 12.183 * [backup-simplify]: Simplify 0 into 0 12.183 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.184 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 0.5))) into 0 12.184 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 0.25))) into 0 12.184 * [backup-simplify]: Simplify 0 into 0 12.185 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.185 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 0.5)))) into 0 12.186 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 0.25)))) into 0 12.186 * [backup-simplify]: Simplify 0 into 0 12.187 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.187 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0.5))))) into 0 12.188 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0.25))))) into 0 12.188 * [backup-simplify]: Simplify 0 into 0 12.189 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.190 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0.5)))))) into 0 12.191 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0.25)))))) into 0 12.191 * [backup-simplify]: Simplify 0 into 0 12.191 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.192 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0.5))))))) into 0 12.193 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0.25))))))) into 0 12.193 * [backup-simplify]: Simplify 0 into 0 12.193 * [backup-simplify]: Simplify (* 0.125 (pow (/ 1 N) 3)) into (/ 0.125 (pow N 3)) 12.193 * [backup-simplify]: Simplify (pow (/ 0.5 (/ 1 N)) 3) into (pow (* 0.5 N) 3) 12.193 * [approximate]: Taking taylor expansion of (pow (* 0.5 N) 3) in (N) around 0 12.193 * [taylor]: Taking taylor expansion of (pow (* 0.5 N) 3) in N 12.193 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 12.193 * [taylor]: Taking taylor expansion of 0.5 in N 12.193 * [backup-simplify]: Simplify 0.5 into 0.5 12.193 * [taylor]: Taking taylor expansion of N in N 12.193 * [backup-simplify]: Simplify 0 into 0 12.193 * [backup-simplify]: Simplify 1 into 1 12.194 * [backup-simplify]: Simplify (* 0.5 0) into 0 12.195 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 12.195 * [taylor]: Taking taylor expansion of (pow (* 0.5 N) 3) in N 12.195 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 12.195 * [taylor]: Taking taylor expansion of 0.5 in N 12.195 * [backup-simplify]: Simplify 0.5 into 0.5 12.195 * [taylor]: Taking taylor expansion of N in N 12.195 * [backup-simplify]: Simplify 0 into 0 12.195 * [backup-simplify]: Simplify 1 into 1 12.195 * [backup-simplify]: Simplify (* 0.5 0) into 0 12.196 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 12.196 * [backup-simplify]: Simplify (* 0.5 0.5) into 0.25 12.197 * [backup-simplify]: Simplify (* 0.5 0.25) into 0.125 12.197 * [backup-simplify]: Simplify 0.125 into 0.125 12.197 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 12.198 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 0.5)) into 0 12.198 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 0.25)) into 0 12.198 * [backup-simplify]: Simplify 0 into 0 12.199 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 12.199 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 0.5))) into 0 12.200 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 0.25))) into 0 12.200 * [backup-simplify]: Simplify 0 into 0 12.201 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 12.201 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 0.5)))) into 0 12.202 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 0.25)))) into 0 12.202 * [backup-simplify]: Simplify 0 into 0 12.203 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 12.203 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0.5))))) into 0 12.204 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0.25))))) into 0 12.204 * [backup-simplify]: Simplify 0 into 0 12.205 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 12.206 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0.5)))))) into 0 12.207 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0.25)))))) into 0 12.207 * [backup-simplify]: Simplify 0 into 0 12.208 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 12.209 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0.5))))))) into 0 12.209 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0.25))))))) into 0 12.209 * [backup-simplify]: Simplify 0 into 0 12.210 * [backup-simplify]: Simplify (* 0.125 (pow (/ 1 N) 3)) into (/ 0.125 (pow N 3)) 12.210 * [backup-simplify]: Simplify (pow (/ 0.5 (/ 1 (- N))) 3) into (pow (* -0.5 N) 3) 12.210 * [approximate]: Taking taylor expansion of (pow (* -0.5 N) 3) in (N) around 0 12.210 * [taylor]: Taking taylor expansion of (pow (* -0.5 N) 3) in N 12.210 * [taylor]: Taking taylor expansion of (* -0.5 N) in N 12.210 * [taylor]: Taking taylor expansion of -0.5 in N 12.210 * [backup-simplify]: Simplify -0.5 into -0.5 12.210 * [taylor]: Taking taylor expansion of N in N 12.210 * [backup-simplify]: Simplify 0 into 0 12.210 * [backup-simplify]: Simplify 1 into 1 12.210 * [backup-simplify]: Simplify (* -0.5 0) into 0 12.211 * [backup-simplify]: Simplify (+ (* -0.5 1) (* 0 0)) into (- 0.5) 12.211 * [taylor]: Taking taylor expansion of (pow (* -0.5 N) 3) in N 12.211 * [taylor]: Taking taylor expansion of (* -0.5 N) in N 12.211 * [taylor]: Taking taylor expansion of -0.5 in N 12.211 * [backup-simplify]: Simplify -0.5 into -0.5 12.211 * [taylor]: Taking taylor expansion of N in N 12.211 * [backup-simplify]: Simplify 0 into 0 12.211 * [backup-simplify]: Simplify 1 into 1 12.211 * [backup-simplify]: Simplify (* -0.5 0) into 0 12.212 * [backup-simplify]: Simplify (+ (* -0.5 1) (* 0 0)) into (- 0.5) 12.213 * [backup-simplify]: Simplify (* (- 0.5) (- 0.5)) into 0.25 12.214 * [backup-simplify]: Simplify (* (- 0.5) 0.25) into -0.125 12.214 * [backup-simplify]: Simplify -0.125 into -0.125 12.214 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 1) (* 0 0))) into 0 12.215 * [backup-simplify]: Simplify (+ (* (- 0.5) 0) (* 0 (- 0.5))) into 0 12.215 * [backup-simplify]: Simplify (+ (* (- 0.5) 0) (* 0 0.25)) into 0 12.215 * [backup-simplify]: Simplify 0 into 0 12.216 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 12.217 * [backup-simplify]: Simplify (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (- 0.5)))) into 0 12.218 * [backup-simplify]: Simplify (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 0.25))) into 0 12.218 * [backup-simplify]: Simplify 0 into 0 12.220 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 12.221 * [backup-simplify]: Simplify (+ (* (- 0.5) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 0.5))))) into 0 12.222 * [backup-simplify]: Simplify (+ (* (- 0.5) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0.25)))) into 0 12.222 * [backup-simplify]: Simplify 0 into 0 12.224 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 12.225 * [backup-simplify]: Simplify (+ (* (- 0.5) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 0.5)))))) into 0 12.226 * [backup-simplify]: Simplify (+ (* (- 0.5) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0.25))))) into 0 12.226 * [backup-simplify]: Simplify 0 into 0 12.228 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 12.230 * [backup-simplify]: Simplify (+ (* (- 0.5) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 0.5))))))) into 0 12.231 * [backup-simplify]: Simplify (+ (* (- 0.5) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0.25)))))) into 0 12.232 * [backup-simplify]: Simplify 0 into 0 12.234 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 12.236 * [backup-simplify]: Simplify (+ (* (- 0.5) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 0.5)))))))) into 0 12.238 * [backup-simplify]: Simplify (+ (* (- 0.5) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0.25))))))) into 0 12.238 * [backup-simplify]: Simplify 0 into 0 12.238 * [backup-simplify]: Simplify (* -0.125 (pow (/ 1 (- N)) 3)) into (/ 0.125 (pow N 3)) 12.238 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1 3) 12.238 * [backup-simplify]: Simplify (* (/ 0.5 N) (+ 1.0 (/ 0.5 N))) into (* 0.5 (/ (+ (* 0.5 (/ 1 N)) 1.0) N)) 12.238 * [approximate]: Taking taylor expansion of (* 0.5 (/ (+ (* 0.5 (/ 1 N)) 1.0) N)) in (N) around 0 12.239 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ (* 0.5 (/ 1 N)) 1.0) N)) in N 12.239 * [taylor]: Taking taylor expansion of 0.5 in N 12.239 * [backup-simplify]: Simplify 0.5 into 0.5 12.239 * [taylor]: Taking taylor expansion of (/ (+ (* 0.5 (/ 1 N)) 1.0) N) in N 12.239 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 N)) 1.0) in N 12.239 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 N)) in N 12.239 * [taylor]: Taking taylor expansion of 0.5 in N 12.239 * [backup-simplify]: Simplify 0.5 into 0.5 12.239 * [taylor]: Taking taylor expansion of (/ 1 N) in N 12.239 * [taylor]: Taking taylor expansion of N in N 12.239 * [backup-simplify]: Simplify 0 into 0 12.239 * [backup-simplify]: Simplify 1 into 1 12.239 * [backup-simplify]: Simplify (/ 1 1) into 1 12.239 * [taylor]: Taking taylor expansion of 1.0 in N 12.239 * [backup-simplify]: Simplify 1.0 into 1.0 12.239 * [taylor]: Taking taylor expansion of N in N 12.240 * [backup-simplify]: Simplify 0 into 0 12.240 * [backup-simplify]: Simplify 1 into 1 12.240 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 12.240 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 12.241 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 12.241 * [taylor]: Taking taylor expansion of (* 0.5 (/ (+ (* 0.5 (/ 1 N)) 1.0) N)) in N 12.241 * [taylor]: Taking taylor expansion of 0.5 in N 12.241 * [backup-simplify]: Simplify 0.5 into 0.5 12.241 * [taylor]: Taking taylor expansion of (/ (+ (* 0.5 (/ 1 N)) 1.0) N) in N 12.241 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 N)) 1.0) in N 12.241 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 N)) in N 12.241 * [taylor]: Taking taylor expansion of 0.5 in N 12.241 * [backup-simplify]: Simplify 0.5 into 0.5 12.241 * [taylor]: Taking taylor expansion of (/ 1 N) in N 12.241 * [taylor]: Taking taylor expansion of N in N 12.241 * [backup-simplify]: Simplify 0 into 0 12.241 * [backup-simplify]: Simplify 1 into 1 12.242 * [backup-simplify]: Simplify (/ 1 1) into 1 12.242 * [taylor]: Taking taylor expansion of 1.0 in N 12.242 * [backup-simplify]: Simplify 1.0 into 1.0 12.242 * [taylor]: Taking taylor expansion of N in N 12.242 * [backup-simplify]: Simplify 0 into 0 12.242 * [backup-simplify]: Simplify 1 into 1 12.242 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 12.243 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 12.243 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 12.244 * [backup-simplify]: Simplify (* 0.5 0.5) into 0.25 12.244 * [backup-simplify]: Simplify 0.25 into 0.25 12.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.245 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 12.246 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 12.248 * [backup-simplify]: Simplify (- (/ 1.0 1) (+ (* 0.5 (/ 0 1)))) into 1.0 12.250 * [backup-simplify]: Simplify (+ (* 0.5 1.0) (* 0 0.5)) into 0.5 12.250 * [backup-simplify]: Simplify 0.5 into 0.5 12.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.252 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 12.252 * [backup-simplify]: Simplify (+ 0 0) into 0 12.253 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 1.0 (/ 0 1)))) into 0 12.254 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1.0) (* 0 0.5))) into 0 12.254 * [backup-simplify]: Simplify 0 into 0 12.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.256 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.257 * [backup-simplify]: Simplify (+ 0 0) into 0 12.258 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.259 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 0.5)))) into 0 12.259 * [backup-simplify]: Simplify 0 into 0 12.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.262 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.262 * [backup-simplify]: Simplify (+ 0 0) into 0 12.263 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.265 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 0.5))))) into 0 12.265 * [backup-simplify]: Simplify 0 into 0 12.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.268 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 12.271 * [backup-simplify]: Simplify (+ 0 0) into 0 12.273 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.275 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 0.5)))))) into 0 12.275 * [backup-simplify]: Simplify 0 into 0 12.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.277 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 12.278 * [backup-simplify]: Simplify (+ 0 0) into 0 12.279 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.281 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 0.5))))))) into 0 12.281 * [backup-simplify]: Simplify 0 into 0 12.282 * [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 12.284 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 12.284 * [backup-simplify]: Simplify (+ 0 0) into 0 12.286 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.288 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1.0) (* 0 0.5)))))))) into 0 12.288 * [backup-simplify]: Simplify 0 into 0 12.288 * [backup-simplify]: Simplify (+ (* 0.5 (/ 1 N)) (* 0.25 (pow (/ 1 N) 2))) into (+ (* 0.5 (/ 1 N)) (* 0.25 (/ 1 (pow N 2)))) 12.288 * [backup-simplify]: Simplify (* (/ 0.5 (/ 1 N)) (+ 1.0 (/ 0.5 (/ 1 N)))) into (* 0.5 (* (+ (* 0.5 N) 1.0) N)) 12.288 * [approximate]: Taking taylor expansion of (* 0.5 (* (+ (* 0.5 N) 1.0) N)) in (N) around 0 12.289 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (* 0.5 N) 1.0) N)) in N 12.289 * [taylor]: Taking taylor expansion of 0.5 in N 12.289 * [backup-simplify]: Simplify 0.5 into 0.5 12.289 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 N) 1.0) N) in N 12.289 * [taylor]: Taking taylor expansion of (+ (* 0.5 N) 1.0) in N 12.289 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 12.289 * [taylor]: Taking taylor expansion of 0.5 in N 12.289 * [backup-simplify]: Simplify 0.5 into 0.5 12.289 * [taylor]: Taking taylor expansion of N in N 12.289 * [backup-simplify]: Simplify 0 into 0 12.289 * [backup-simplify]: Simplify 1 into 1 12.289 * [taylor]: Taking taylor expansion of 1.0 in N 12.289 * [backup-simplify]: Simplify 1.0 into 1.0 12.289 * [taylor]: Taking taylor expansion of N in N 12.289 * [backup-simplify]: Simplify 0 into 0 12.289 * [backup-simplify]: Simplify 1 into 1 12.289 * [taylor]: Taking taylor expansion of (* 0.5 (* (+ (* 0.5 N) 1.0) N)) in N 12.289 * [taylor]: Taking taylor expansion of 0.5 in N 12.289 * [backup-simplify]: Simplify 0.5 into 0.5 12.289 * [taylor]: Taking taylor expansion of (* (+ (* 0.5 N) 1.0) N) in N 12.289 * [taylor]: Taking taylor expansion of (+ (* 0.5 N) 1.0) in N 12.289 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 12.289 * [taylor]: Taking taylor expansion of 0.5 in N 12.289 * [backup-simplify]: Simplify 0.5 into 0.5 12.289 * [taylor]: Taking taylor expansion of N in N 12.289 * [backup-simplify]: Simplify 0 into 0 12.289 * [backup-simplify]: Simplify 1 into 1 12.289 * [taylor]: Taking taylor expansion of 1.0 in N 12.289 * [backup-simplify]: Simplify 1.0 into 1.0 12.289 * [taylor]: Taking taylor expansion of N in N 12.289 * [backup-simplify]: Simplify 0 into 0 12.289 * [backup-simplify]: Simplify 1 into 1 12.290 * [backup-simplify]: Simplify (* 0.5 0) into 0 12.290 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 12.291 * [backup-simplify]: Simplify (* 1.0 0) into 0 12.291 * [backup-simplify]: Simplify (* 0.5 0) into 0 12.291 * [backup-simplify]: Simplify 0 into 0 12.293 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 12.293 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 12.295 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0.5 0)) into 1.0 12.296 * [backup-simplify]: Simplify (+ (* 0.5 1.0) (* 0 0)) into 0.5 12.296 * [backup-simplify]: Simplify 0.5 into 0.5 12.298 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 12.298 * [backup-simplify]: Simplify (+ 0 0) into 0 12.301 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0.5 1) (* 0 0))) into 0.5 12.303 * [backup-simplify]: Simplify (+ (* 0.5 0.5) (+ (* 0 1.0) (* 0 0))) into 0.25 12.303 * [backup-simplify]: Simplify 0.25 into 0.25 12.304 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 12.304 * [backup-simplify]: Simplify (+ 0 0) into 0 12.305 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0.5 0) (+ (* 0 1) (* 0 0)))) into 0 12.305 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0.5) (+ (* 0 1.0) (* 0 0)))) into 0 12.305 * [backup-simplify]: Simplify 0 into 0 12.306 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 12.306 * [backup-simplify]: Simplify (+ 0 0) into 0 12.307 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 12.308 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0.5) (+ (* 0 1.0) (* 0 0))))) into 0 12.308 * [backup-simplify]: Simplify 0 into 0 12.309 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 12.309 * [backup-simplify]: Simplify (+ 0 0) into 0 12.310 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 12.311 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.5) (+ (* 0 1.0) (* 0 0)))))) into 0 12.311 * [backup-simplify]: Simplify 0 into 0 12.312 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 12.312 * [backup-simplify]: Simplify (+ 0 0) into 0 12.313 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 12.314 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.5) (+ (* 0 1.0) (* 0 0))))))) into 0 12.314 * [backup-simplify]: Simplify 0 into 0 12.315 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 12.316 * [backup-simplify]: Simplify (+ 0 0) into 0 12.317 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 12.318 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.5) (+ (* 0 1.0) (* 0 0)))))))) into 0 12.318 * [backup-simplify]: Simplify 0 into 0 12.319 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 12.319 * [backup-simplify]: Simplify (+ 0 0) into 0 12.321 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 12.322 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0.5) (+ (* 0 1.0) (* 0 0))))))))) into 0 12.322 * [backup-simplify]: Simplify 0 into 0 12.322 * [backup-simplify]: Simplify (+ (* 0.25 (pow (/ 1 N) 2)) (* 0.5 (/ 1 N))) into (+ (* 0.5 (/ 1 N)) (* 0.25 (/ 1 (pow N 2)))) 12.322 * [backup-simplify]: Simplify (* (/ 0.5 (/ 1 (- N))) (+ 1.0 (/ 0.5 (/ 1 (- N))))) into (* -0.5 (* N (- 1.0 (* 0.5 N)))) 12.322 * [approximate]: Taking taylor expansion of (* -0.5 (* N (- 1.0 (* 0.5 N)))) in (N) around 0 12.322 * [taylor]: Taking taylor expansion of (* -0.5 (* N (- 1.0 (* 0.5 N)))) in N 12.322 * [taylor]: Taking taylor expansion of -0.5 in N 12.322 * [backup-simplify]: Simplify -0.5 into -0.5 12.322 * [taylor]: Taking taylor expansion of (* N (- 1.0 (* 0.5 N))) in N 12.322 * [taylor]: Taking taylor expansion of N in N 12.322 * [backup-simplify]: Simplify 0 into 0 12.322 * [backup-simplify]: Simplify 1 into 1 12.322 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 N)) in N 12.323 * [taylor]: Taking taylor expansion of 1.0 in N 12.323 * [backup-simplify]: Simplify 1.0 into 1.0 12.323 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 12.323 * [taylor]: Taking taylor expansion of 0.5 in N 12.323 * [backup-simplify]: Simplify 0.5 into 0.5 12.323 * [taylor]: Taking taylor expansion of N in N 12.323 * [backup-simplify]: Simplify 0 into 0 12.323 * [backup-simplify]: Simplify 1 into 1 12.323 * [taylor]: Taking taylor expansion of (* -0.5 (* N (- 1.0 (* 0.5 N)))) in N 12.323 * [taylor]: Taking taylor expansion of -0.5 in N 12.323 * [backup-simplify]: Simplify -0.5 into -0.5 12.323 * [taylor]: Taking taylor expansion of (* N (- 1.0 (* 0.5 N))) in N 12.323 * [taylor]: Taking taylor expansion of N in N 12.323 * [backup-simplify]: Simplify 0 into 0 12.323 * [backup-simplify]: Simplify 1 into 1 12.323 * [taylor]: Taking taylor expansion of (- 1.0 (* 0.5 N)) in N 12.323 * [taylor]: Taking taylor expansion of 1.0 in N 12.323 * [backup-simplify]: Simplify 1.0 into 1.0 12.323 * [taylor]: Taking taylor expansion of (* 0.5 N) in N 12.323 * [taylor]: Taking taylor expansion of 0.5 in N 12.323 * [backup-simplify]: Simplify 0.5 into 0.5 12.323 * [taylor]: Taking taylor expansion of N in N 12.323 * [backup-simplify]: Simplify 0 into 0 12.323 * [backup-simplify]: Simplify 1 into 1 12.323 * [backup-simplify]: Simplify (* 0.5 0) into 0 12.323 * [backup-simplify]: Simplify (- 0) into 0 12.324 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 12.324 * [backup-simplify]: Simplify (* 0 1.0) into 0 12.324 * [backup-simplify]: Simplify (* -0.5 0) into 0 12.324 * [backup-simplify]: Simplify 0 into 0 12.325 * [backup-simplify]: Simplify (+ (* 0.5 1) (* 0 0)) into 0.5 12.326 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 12.326 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 12.327 * [backup-simplify]: Simplify (+ (* 0 (- 0.5)) (* 1 1.0)) into 1.0 12.328 * [backup-simplify]: Simplify (+ (* -0.5 1.0) (* 0 0)) into (- 0.5) 12.328 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 12.329 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 1) (* 0 0))) into 0 12.329 * [backup-simplify]: Simplify (- 0) into 0 12.329 * [backup-simplify]: Simplify (+ 0 0) into 0 12.332 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (- 0.5)) (* 0 1.0))) into (- 0.5) 12.334 * [backup-simplify]: Simplify (+ (* -0.5 (- 0.5)) (+ (* 0 1.0) (* 0 0))) into 0.25 12.334 * [backup-simplify]: Simplify 0.25 into 0.25 12.336 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 12.336 * [backup-simplify]: Simplify (- 0) into 0 12.336 * [backup-simplify]: Simplify (+ 0 0) into 0 12.338 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (- 0.5)) (* 0 1.0)))) into 0 12.340 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 (- 0.5)) (+ (* 0 1.0) (* 0 0)))) into 0 12.340 * [backup-simplify]: Simplify 0 into 0 12.341 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 12.341 * [backup-simplify]: Simplify (- 0) into 0 12.342 * [backup-simplify]: Simplify (+ 0 0) into 0 12.344 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 (- 0.5)) (* 0 1.0))))) into 0 12.345 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 (- 0.5)) (+ (* 0 1.0) (* 0 0))))) into 0 12.345 * [backup-simplify]: Simplify 0 into 0 12.347 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 12.348 * [backup-simplify]: Simplify (- 0) into 0 12.348 * [backup-simplify]: Simplify (+ 0 0) into 0 12.350 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 0.5)) (* 0 1.0)))))) into 0 12.352 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 0.5)) (+ (* 0 1.0) (* 0 0)))))) into 0 12.352 * [backup-simplify]: Simplify 0 into 0 12.354 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 12.354 * [backup-simplify]: Simplify (- 0) into 0 12.355 * [backup-simplify]: Simplify (+ 0 0) into 0 12.357 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 0.5)) (* 0 1.0))))))) into 0 12.360 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 0.5)) (+ (* 0 1.0) (* 0 0))))))) into 0 12.360 * [backup-simplify]: Simplify 0 into 0 12.362 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 12.363 * [backup-simplify]: Simplify (- 0) into 0 12.363 * [backup-simplify]: Simplify (+ 0 0) into 0 12.366 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 0.5)) (* 0 1.0)))))))) into 0 12.368 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 0.5)) (+ (* 0 1.0) (* 0 0)))))))) into 0 12.368 * [backup-simplify]: Simplify 0 into 0 12.371 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))))) into 0 12.371 * [backup-simplify]: Simplify (- 0) into 0 12.372 * [backup-simplify]: Simplify (+ 0 0) into 0 12.374 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 0.5)) (* 0 1.0))))))))) into 0 12.377 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- 0.5)) (+ (* 0 1.0) (* 0 0))))))))) into 0 12.377 * [backup-simplify]: Simplify 0 into 0 12.378 * [backup-simplify]: Simplify (+ (* 0.25 (pow (/ 1 (- N)) 2)) (* (- 0.5) (/ 1 (- N)))) into (+ (* 0.5 (/ 1 N)) (* 0.25 (/ 1 (pow N 2)))) 12.378 * * * [progress]: simplifying candidates 12.385 * [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 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(sqrt (+ 1.0 (/ 0.5 N)))) (* (/ (sqrt 0.5) (sqrt N)) (sqrt (+ 1.0 (/ 0.5 N)))) (* (/ (sqrt 0.5) (sqrt N)) (sqrt (+ 1.0 (/ 0.5 N)))) (* (/ 0.5 N) 1.0) (* (/ 0.5 N) (/ 0.5 N)) (* 1.0 (/ 0.5 N)) (* (/ 0.5 N) (/ 0.5 N)) (* (/ 0.5 N) (* (cbrt (+ 1.0 (/ 0.5 N))) (cbrt (+ 1.0 (/ 0.5 N))))) (* (/ 0.5 N) (sqrt (+ 1.0 (/ 0.5 N)))) (* (/ 0.5 N) 1) (* (/ 0.5 N) 1) (* (cbrt (/ 0.5 N)) (+ 1.0 (/ 0.5 N))) (* (sqrt (/ 0.5 N)) (+ 1.0 (/ 0.5 N))) (* (/ (cbrt 0.5) (cbrt N)) (+ 1.0 (/ 0.5 N))) (* (/ (cbrt 0.5) (sqrt N)) (+ 1.0 (/ 0.5 N))) (* (/ (cbrt 0.5) N) (+ 1.0 (/ 0.5 N))) (* (/ (sqrt 0.5) (cbrt N)) (+ 1.0 (/ 0.5 N))) (* (/ (sqrt 0.5) (sqrt N)) (+ 1.0 (/ 0.5 N))) (* (/ (sqrt 0.5) N) (+ 1.0 (/ 0.5 N))) (* (/ 0.5 (cbrt N)) (+ 1.0 (/ 0.5 N))) (* (/ 0.5 (sqrt N)) (+ 1.0 (/ 0.5 N))) (* (/ 0.5 N) (+ 1.0 (/ 0.5 N))) (* (/ 0.5 N) (+ 1.0 (/ 0.5 N))) (* (/ 1 N) (+ 1.0 (/ 0.5 N))) (* (/ 0.5 N) (+ (pow 1.0 3) (pow (/ 0.5 N) 3))) (* (/ 0.5 N) (- (* 1.0 1.0) (* (/ 0.5 N) (/ 0.5 N)))) (* 0.5 (+ 1.0 (/ 0.5 N))) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (/ 0.125 (pow N 3)) (/ 0.125 (pow N 3)) (/ 0.125 (pow N 3)) (/ 0.125 (pow N 3)) (/ 0.125 (pow N 3)) (/ 0.125 (pow N 3)) (+ (* 0.5 (/ 1 N)) (* 0.25 (/ 1 (pow N 2)))) (+ (* 0.5 (/ 1 N)) (* 0.25 (/ 1 (pow N 2)))) (+ (* 0.5 (/ 1 N)) (* 0.25 (/ 1 (pow N 2)))) 12.392 * * [simplify]: Extracting # 0 : cost 0 12.393 * * [simplify]: Extracting # 1 : cost 0 12.393 * * [simplify]: Extracting # 2 : cost 0 12.394 * * [simplify]: Extracting # 3 : cost 0 12.394 * * [simplify]: Extracting # 4 : cost 0 12.395 * * [simplify]: Extracting # 5 : cost 0 12.395 * * [simplify]: Extracting # 6 : cost 0 12.396 * * [simplify]: iteration 0 : 233 enodes (cost 2346 ) 12.490 * * [simplify]: Extracting # 0 : cost 0 12.492 * * [simplify]: Extracting # 1 : cost 0 12.494 * * [simplify]: Extracting # 2 : cost 0 12.495 * * [simplify]: Extracting # 3 : cost 0 12.497 * * [simplify]: Extracting # 4 : cost 0 12.499 * * [simplify]: iteration 1 : 665 enodes (cost 2012 ) 13.200 * * [simplify]: Extracting # 0 : cost 0 13.207 * * [simplify]: Extracting # 1 : cost 0 13.211 * * [simplify]: Extracting # 2 : cost 0 13.215 * * [simplify]: Extracting # 3 : cost 0 13.218 * * [simplify]: Extracting # 4 : cost 0 13.222 * * [simplify]: iteration 2 : 3109 enodes (cost 1841 ) 14.971 * * [simplify]: Extracting # 0 : cost 0 14.982 * * [simplify]: Extracting # 1 : cost 0 14.991 * * [simplify]: Extracting # 2 : cost 0 14.997 * * [simplify]: Extracting # 3 : cost 0 15.003 * * [simplify]: iteration done: 5000 enodes (cost 1840 ) 15.004 * [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 (/ 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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 (pow (/ 0.5 N) 3)) (log1p (pow (/ 0.5 N) 3)) (log (pow (/ 0.5 N) 3)) (log (pow (/ 0.5 N) 3)) (log (pow (/ 0.5 N) 3)) 3 (pow (/ 0.5 N) (* (cbrt 3) (cbrt 3))) (pow (/ 0.5 N) (sqrt 3)) (/ 0.5 N) (pow (/ 0.5 N) 2) (/ 0.5 N) (pow (sqrt (/ 0.5 N)) 3) (pow (sqrt (/ 0.5 N)) 3) (pow (/ 0.5 N) 2) (/ 0.5 N) (* (/ 0.5 N) (/ 0.5 (sqrt N))) (/ (/ 0.5 (sqrt N)) N) (* 0.5 0.5) (/ 0.5 (pow N 3)) (* (/ (sqrt 0.5) N) (/ 0.5 N)) (/ (pow (sqrt 0.5) 3) N) (pow (/ (sqrt 0.5) (sqrt N)) 3) (pow (/ (sqrt 0.5) (sqrt 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3)) (log (pow (/ 0.5 N) 3)) (log (pow (/ 0.5 N) 3)) (log (pow (/ 0.5 N) 3)) 3 (pow (/ 0.5 N) (* (cbrt 3) (cbrt 3))) (pow (/ 0.5 N) (sqrt 3)) (/ 0.5 N) (pow (/ 0.5 N) 2) (/ 0.5 N) (pow (sqrt (/ 0.5 N)) 3) (pow (sqrt (/ 0.5 N)) 3) (pow (/ 0.5 N) 2) (/ 0.5 N) (* (/ 0.5 N) (/ 0.5 (sqrt N))) (/ (/ 0.5 (sqrt N)) N) (* 0.5 0.5) (/ 0.5 (pow N 3)) (* (/ (sqrt 0.5) N) (/ 0.5 N)) (/ (pow (sqrt 0.5) 3) N) (pow (/ (sqrt 0.5) (sqrt N)) 3) (pow (/ (sqrt 0.5) (sqrt N)) 3) (pow (sqrt 0.5) 3) (pow (/ (sqrt 0.5) N) 3) (/ (/ 1 N) N) (/ (pow 0.5 3) N) (/ 1 (pow (sqrt N) 3)) (pow (/ 0.5 (sqrt N)) 3) 1 (pow (/ 0.5 N) 3) 1 (pow (/ 0.5 N) 3) (pow 0.5 3) (/ 1 (pow N 3)) (pow (/ 0.5 N) 2) (log (pow (/ 0.5 N) 3)) (exp (pow (/ 0.5 N) 3)) (pow (/ 0.5 N) 2) (/ 0.5 N) (pow (pow (/ 0.5 N) 3) 3) (pow (/ 0.5 N) 2) (/ 0.5 N) (pow (sqrt (/ 0.5 N)) 3) (pow (sqrt (/ 0.5 N)) 3) (pow (/ 0.5 N) 2) (/ 0.5 N) (* (/ 0.5 N) (/ 0.5 (sqrt N))) (/ (/ 0.5 (sqrt N)) N) (* 0.5 0.5) (/ 0.5 (pow N 3)) (* (/ (sqrt 0.5) N) (/ 0.5 N)) (/ (pow (sqrt 0.5) 3) N) (pow (/ (sqrt 0.5) (sqrt N)) 3) (pow (/ (sqrt 0.5) (sqrt N)) 3) (pow (sqrt 0.5) 3) (pow (/ (sqrt 0.5) N) 3) (/ (/ 1 N) N) (/ (pow 0.5 3) N) (/ 1 (pow (sqrt N) 3)) (pow (/ 0.5 (sqrt N)) 3) 1 (pow (/ 0.5 N) 3) 1 (pow (/ 0.5 N) 3) (pow 0.5 3) (/ 1 (pow N 3)) (pow 0.5 3) (pow N 3) (pow (/ 0.5 N) 2) (sqrt (pow (/ 0.5 N) 3)) (sqrt (pow (/ 0.5 N) 3)) (pow (/ 0.5 N) 3/2) (pow (/ 0.5 N) 3/2) (expm1 (* (/ 0.5 N) (+ 1.0 (/ 0.5 N)))) (log1p (* (/ 0.5 N) (+ 1.0 (/ 0.5 N)))) (* (/ 0.5 N) (+ 1.0 (/ 0.5 N))) (log (* (/ 0.5 N) (+ 1.0 (/ 0.5 N)))) (log (* (/ 0.5 N) (+ 1.0 (/ 0.5 N)))) (log (* (/ 0.5 N) (+ 1.0 (/ 0.5 N)))) (exp (* (/ 0.5 N) (+ 1.0 (/ 0.5 N)))) (pow (* (/ 0.5 N) (+ 1.0 (/ 0.5 N))) 3) (pow (* (/ 0.5 N) (+ 1.0 (/ 0.5 N))) 3) (* (cbrt (* (/ 0.5 N) (+ 1.0 (/ 0.5 N)))) (cbrt (* (/ 0.5 N) (+ 1.0 (/ 0.5 N))))) (cbrt (* (/ 0.5 N) (+ 1.0 (/ 0.5 N)))) (pow (* (/ 0.5 N) (+ 1.0 (/ 0.5 N))) 3) (sqrt (* (/ 0.5 N) (+ 1.0 (/ 0.5 N)))) (sqrt (* (/ 0.5 N) (+ 1.0 (/ 0.5 N)))) (* 0.5 (+ (pow 1.0 3) (pow (/ 0.5 N) 3))) (* (fma 1.0 1.0 (* (/ 0.5 N) (- (/ 0.5 N) 1.0))) N) (* (- (* 1.0 1.0) (pow (/ 0.5 N) 2)) 0.5) (* N (- 1.0 (/ 0.5 N))) (* (sqrt (/ 0.5 N)) (sqrt (+ 1.0 (/ 0.5 N)))) (* (sqrt (/ 0.5 N)) (sqrt (+ 1.0 (/ 0.5 N)))) (* (/ (sqrt 0.5) (sqrt N)) (sqrt (+ 1.0 (/ 0.5 N)))) (* (/ (sqrt 0.5) (sqrt N)) (sqrt (+ 1.0 (/ 0.5 N)))) (* 1.0 (/ 0.5 N)) (pow (/ 0.5 N) 2) (* 1.0 (/ 0.5 N)) (pow (/ 0.5 N) 2) (* (/ 0.5 N) (* (cbrt (+ 1.0 (/ 0.5 N))) (cbrt (+ 1.0 (/ 0.5 N))))) (* (/ 0.5 N) (sqrt (+ 1.0 (/ 0.5 N)))) (/ 0.5 N) (/ 0.5 N) (* (+ (/ 0.5 N) 1.0) (cbrt (/ 0.5 N))) (* (sqrt (/ 0.5 N)) (+ 1.0 (/ 0.5 N))) (* (+ (/ 0.5 N) 1.0) (cbrt (/ 0.5 N))) (* (/ (cbrt 0.5) (sqrt N)) (+ 1.0 (/ 0.5 N))) (* (/ (cbrt 0.5) N) (+ 1.0 (/ 0.5 N))) (* (/ (sqrt 0.5) (cbrt N)) (+ 1.0 (/ 0.5 N))) (* (/ (sqrt 0.5) (sqrt N)) (+ 1.0 (/ 0.5 N))) (* (/ (sqrt 0.5) N) (+ 1.0 (/ 0.5 N))) (* (/ 0.5 (cbrt N)) (+ 1.0 (/ 0.5 N))) (* (/ 0.5 (sqrt N)) (+ 1.0 (/ 0.5 N))) (* (/ 0.5 N) (+ 1.0 (/ 0.5 N))) (* (/ 0.5 N) (+ 1.0 (/ 0.5 N))) (/ (+ (/ 0.5 N) 1.0) N) (fma (pow 1.0 3) (/ 0.5 N) (pow (/ 0.5 N) 4)) (* (/ 0.5 N) (- (* 1.0 1.0) (pow (/ 0.5 N) 2))) (* 0.5 (+ 1.0 (/ 0.5 N))) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (/ 0.125 (pow N 3)) (/ 0.125 (pow N 3)) (/ 0.125 (pow N 3)) (/ 0.125 (pow N 3)) (/ 0.125 (pow N 3)) (/ 0.125 (pow N 3)) (+ (/ 0.5 N) (/ 0.25 (* N N))) (+ (/ 0.5 N) (/ 0.25 (* N N))) (+ (/ 0.5 N) (/ 0.25 (* N N))) 15.006 * * * [progress]: adding candidates to table 16.024 * [progress]: [Phase 3 of 3] Extracting. 16.024 * * [regime]: Finding splitpoints for: (# # #) 16.024 * * * [regime-changes]: Trying 1 branch expressions: (N) 16.025 * * * * [regimes]: Trying to branch on N from (# # #) 16.044 * * * [regime]: Found split indices: #