22.494 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.063 * * * [progress]: [2/2] Setting up program. 0.066 * [progress]: [Phase 2 of 3] Improving. 0.067 * [simplify]: Simplifying: (- (log (+ N 1.0)) (log N)) 0.067 * * [simplify]: iteration 0: 6 enodes 0.067 * * [simplify]: iteration 1: 9 enodes 0.068 * * [simplify]: iteration 2: 10 enodes 0.069 * * [simplify]: iteration complete: 10 enodes 0.069 * * [simplify]: Extracting #0: cost 1 inf + 0 0.069 * * [simplify]: Extracting #1: cost 4 inf + 0 0.069 * * [simplify]: Extracting #2: cost 6 inf + 0 0.069 * * [simplify]: Extracting #3: cost 6 inf + 1 0.070 * * [simplify]: Extracting #4: cost 0 inf + 560 0.070 * [simplify]: Simplified to: (- (log (+ 1.0 N)) (log N)) 0.070 * * [progress]: iteration 1 / 4 0.070 * * * [progress]: picking best candidate 0.073 * * * * [pick]: Picked # 0.073 * * * [progress]: localizing error 0.093 * * * [progress]: generating rewritten candidates 0.093 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.100 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.122 * * * [progress]: generating series expansions 0.122 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.122 * [backup-simplify]: Simplify (log (+ N 1.0)) into (log (+ N 1.0)) 0.122 * [approximate]: Taking taylor expansion of (log (+ N 1.0)) in (N) around 0 0.122 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.122 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.122 * [taylor]: Taking taylor expansion of N in N 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify 1 into 1 0.122 * [taylor]: Taking taylor expansion of 1.0 in N 0.122 * [backup-simplify]: Simplify 1.0 into 1.0 0.123 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.123 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.123 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.123 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.123 * [taylor]: Taking taylor expansion of N in N 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify 1 into 1 0.123 * [taylor]: Taking taylor expansion of 1.0 in N 0.123 * [backup-simplify]: Simplify 1.0 into 1.0 0.124 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.124 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.125 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.125 * [backup-simplify]: Simplify (+ 1 0) into 1 0.131 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.131 * [backup-simplify]: Simplify 1.0 into 1.0 0.131 * [backup-simplify]: Simplify (+ 0 0) into 0 0.161 * [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)) 0.162 * [backup-simplify]: Simplify (/ -1/2 (pow 1.0 2)) into (/ -1/2 (pow 1.0 2)) 0.163 * [backup-simplify]: Simplify (+ (* (/ -1/2 (pow 1.0 2)) (pow N 2)) (+ (* 1.0 N) (log 1.0))) into (- (+ (log 1.0) (* 1.0 N)) (* 1/2 (/ (pow N 2) (pow 1.0 2)))) 0.163 * [backup-simplify]: Simplify (log (+ (/ 1 N) 1.0)) into (log (+ (/ 1 N) 1.0)) 0.163 * [approximate]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in (N) around 0 0.163 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.163 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.163 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.163 * [taylor]: Taking taylor expansion of N in N 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify 1 into 1 0.163 * [backup-simplify]: Simplify (/ 1 1) into 1 0.163 * [taylor]: Taking taylor expansion of 1.0 in N 0.163 * [backup-simplify]: Simplify 1.0 into 1.0 0.164 * [backup-simplify]: Simplify (+ 1 0) into 1 0.164 * [backup-simplify]: Simplify (log 1) into 0 0.164 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.164 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.164 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.164 * [taylor]: Taking taylor expansion of N in N 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify 1 into 1 0.164 * [backup-simplify]: Simplify (/ 1 1) into 1 0.164 * [taylor]: Taking taylor expansion of 1.0 in N 0.164 * [backup-simplify]: Simplify 1.0 into 1.0 0.164 * [backup-simplify]: Simplify (+ 1 0) into 1 0.165 * [backup-simplify]: Simplify (log 1) into 0 0.165 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.165 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.166 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.174 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.174 * [backup-simplify]: Simplify 1.0 into 1.0 0.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.175 * [backup-simplify]: Simplify (+ 0 0) into 0 0.188 * [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 0.188 * [backup-simplify]: Simplify -0.5 into -0.5 0.189 * [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)))) 0.189 * [backup-simplify]: Simplify (log (+ (/ 1 (- N)) 1.0)) into (log (- 1.0 (/ 1 N))) 0.189 * [approximate]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in (N) around 0 0.189 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.189 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.189 * [taylor]: Taking taylor expansion of 1.0 in N 0.189 * [backup-simplify]: Simplify 1.0 into 1.0 0.189 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.189 * [taylor]: Taking taylor expansion of N in N 0.189 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify 1 into 1 0.191 * [backup-simplify]: Simplify (/ 1 1) into 1 0.191 * [backup-simplify]: Simplify (- 1) into -1 0.192 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.192 * [backup-simplify]: Simplify (log -1) into (log -1) 0.192 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.192 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.192 * [taylor]: Taking taylor expansion of 1.0 in N 0.192 * [backup-simplify]: Simplify 1.0 into 1.0 0.192 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.192 * [taylor]: Taking taylor expansion of N in N 0.192 * [backup-simplify]: Simplify 0 into 0 0.192 * [backup-simplify]: Simplify 1 into 1 0.193 * [backup-simplify]: Simplify (/ 1 1) into 1 0.193 * [backup-simplify]: Simplify (- 1) into -1 0.194 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.194 * [backup-simplify]: Simplify (log -1) into (log -1) 0.195 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.196 * [backup-simplify]: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) 0.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.197 * [backup-simplify]: Simplify (- 0) into 0 0.197 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.204 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.204 * [backup-simplify]: Simplify -1.0 into -1.0 0.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.206 * [backup-simplify]: Simplify (- 0) into 0 0.206 * [backup-simplify]: Simplify (+ 0 0) into 0 0.217 * [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 0.217 * [backup-simplify]: Simplify -0.5 into -0.5 0.218 * [backup-simplify]: Simplify (+ (* -0.5 (pow (/ 1 (- N)) 2)) (+ (* -1.0 (/ 1 (- N))) (- (log -1) (log (/ 1 (- N)))))) into (- (+ (* 1.0 (/ 1 N)) (log -1)) (+ (* 0.5 (/ 1 (pow N 2))) (log (/ -1 N)))) 0.218 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.218 * [backup-simplify]: Simplify (- (log (+ N 1.0)) (log N)) into (- (log (+ N 1.0)) (log N)) 0.219 * [approximate]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in (N) around 0 0.219 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.219 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.219 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.219 * [taylor]: Taking taylor expansion of N in N 0.219 * [backup-simplify]: Simplify 0 into 0 0.219 * [backup-simplify]: Simplify 1 into 1 0.219 * [taylor]: Taking taylor expansion of 1.0 in N 0.219 * [backup-simplify]: Simplify 1.0 into 1.0 0.219 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.220 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.220 * [taylor]: Taking taylor expansion of (log N) in N 0.220 * [taylor]: Taking taylor expansion of N in N 0.220 * [backup-simplify]: Simplify 0 into 0 0.220 * [backup-simplify]: Simplify 1 into 1 0.220 * [backup-simplify]: Simplify (log 1) into 0 0.220 * [taylor]: Taking taylor expansion of (- (log (+ N 1.0)) (log N)) in N 0.220 * [taylor]: Taking taylor expansion of (log (+ N 1.0)) in N 0.220 * [taylor]: Taking taylor expansion of (+ N 1.0) in N 0.220 * [taylor]: Taking taylor expansion of N in N 0.220 * [backup-simplify]: Simplify 0 into 0 0.220 * [backup-simplify]: Simplify 1 into 1 0.220 * [taylor]: Taking taylor expansion of 1.0 in N 0.220 * [backup-simplify]: Simplify 1.0 into 1.0 0.221 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.221 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.221 * [taylor]: Taking taylor expansion of (log N) in N 0.221 * [taylor]: Taking taylor expansion of N in N 0.221 * [backup-simplify]: Simplify 0 into 0 0.221 * [backup-simplify]: Simplify 1 into 1 0.222 * [backup-simplify]: Simplify (log 1) into 0 0.222 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) 0) into (log N) 0.222 * [backup-simplify]: Simplify (- (log N)) into (- (log N)) 0.223 * [backup-simplify]: Simplify (+ (log 1.0) (- (log N))) into (- (log 1.0) (log N)) 0.223 * [backup-simplify]: Simplify (- (log 1.0) (log N)) into (- (log 1.0) (log N)) 0.224 * [backup-simplify]: Simplify (+ 1 0) into 1 0.229 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1.0 1)))) 1) into 1.0 0.230 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.231 * [backup-simplify]: Simplify (- 0) into 0 0.231 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.231 * [backup-simplify]: Simplify 1.0 into 1.0 0.232 * [backup-simplify]: Simplify (+ 0 0) into 0 0.242 * [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)) 0.245 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.245 * [backup-simplify]: Simplify (- 0) into 0 0.247 * [backup-simplify]: Simplify (+ (/ -1/2 (pow 1.0 2)) 0) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.250 * [backup-simplify]: Simplify (- (* 1/2 (/ 1 (pow 1.0 2)))) into (- (* 1/2 (/ 1 (pow 1.0 2)))) 0.254 * [backup-simplify]: Simplify (+ (* (- (* 1/2 (/ 1 (pow 1.0 2)))) (pow N 2)) (+ (* 1.0 N) (- (log 1.0) (log N)))) into (- (+ (log 1.0) (* 1.0 N)) (+ (* 1/2 (/ (pow N 2) (pow 1.0 2))) (log N))) 0.254 * [backup-simplify]: Simplify (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) into (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) 0.254 * [approximate]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in (N) around 0 0.254 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.254 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.254 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.254 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.254 * [taylor]: Taking taylor expansion of N in N 0.254 * [backup-simplify]: Simplify 0 into 0 0.254 * [backup-simplify]: Simplify 1 into 1 0.254 * [backup-simplify]: Simplify (/ 1 1) into 1 0.254 * [taylor]: Taking taylor expansion of 1.0 in N 0.254 * [backup-simplify]: Simplify 1.0 into 1.0 0.255 * [backup-simplify]: Simplify (+ 1 0) into 1 0.255 * [backup-simplify]: Simplify (log 1) into 0 0.255 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.255 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.255 * [taylor]: Taking taylor expansion of N in N 0.255 * [backup-simplify]: Simplify 0 into 0 0.255 * [backup-simplify]: Simplify 1 into 1 0.255 * [backup-simplify]: Simplify (/ 1 1) into 1 0.256 * [backup-simplify]: Simplify (log 1) into 0 0.256 * [taylor]: Taking taylor expansion of (- (log (+ (/ 1 N) 1.0)) (log (/ 1 N))) in N 0.256 * [taylor]: Taking taylor expansion of (log (+ (/ 1 N) 1.0)) in N 0.256 * [taylor]: Taking taylor expansion of (+ (/ 1 N) 1.0) in N 0.256 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.256 * [taylor]: Taking taylor expansion of N in N 0.256 * [backup-simplify]: Simplify 0 into 0 0.256 * [backup-simplify]: Simplify 1 into 1 0.256 * [backup-simplify]: Simplify (/ 1 1) into 1 0.256 * [taylor]: Taking taylor expansion of 1.0 in N 0.256 * [backup-simplify]: Simplify 1.0 into 1.0 0.256 * [backup-simplify]: Simplify (+ 1 0) into 1 0.256 * [backup-simplify]: Simplify (log 1) into 0 0.256 * [taylor]: Taking taylor expansion of (log (/ 1 N)) in N 0.256 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.256 * [taylor]: Taking taylor expansion of N in N 0.257 * [backup-simplify]: Simplify 0 into 0 0.257 * [backup-simplify]: Simplify 1 into 1 0.257 * [backup-simplify]: Simplify (/ 1 1) into 1 0.257 * [backup-simplify]: Simplify (log 1) into 0 0.257 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.258 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) 0.258 * [backup-simplify]: Simplify (- (- (log N))) into (log N) 0.258 * [backup-simplify]: Simplify (+ (- (log N)) (log N)) into 0 0.258 * [backup-simplify]: Simplify 0 into 0 0.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.258 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 0.262 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow 1 1)))) 1) into 1.0 0.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.263 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 0.263 * [backup-simplify]: Simplify (- 0) into 0 0.264 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.264 * [backup-simplify]: Simplify 1.0 into 1.0 0.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.265 * [backup-simplify]: Simplify (+ 0 0) into 0 0.271 * [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 0.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.273 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 0.273 * [backup-simplify]: Simplify (- 0) into 0 0.273 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.274 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.275 * [backup-simplify]: Simplify (+ 0 0) into 0 0.292 * [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 0.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.298 * [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 0.299 * [backup-simplify]: Simplify (- 0) into 0 0.299 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 0.299 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 0.300 * [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)))) 0.301 * [backup-simplify]: Simplify (- (log (+ (/ 1 (- N)) 1.0)) (log (/ 1 (- N)))) into (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) 0.301 * [approximate]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in (N) around 0 0.301 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.301 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.301 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.301 * [taylor]: Taking taylor expansion of 1.0 in N 0.301 * [backup-simplify]: Simplify 1.0 into 1.0 0.301 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.301 * [taylor]: Taking taylor expansion of N in N 0.301 * [backup-simplify]: Simplify 0 into 0 0.301 * [backup-simplify]: Simplify 1 into 1 0.301 * [backup-simplify]: Simplify (/ 1 1) into 1 0.302 * [backup-simplify]: Simplify (- 1) into -1 0.302 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.302 * [backup-simplify]: Simplify (log -1) into (log -1) 0.302 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.302 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.303 * [taylor]: Taking taylor expansion of -1 in N 0.303 * [backup-simplify]: Simplify -1 into -1 0.303 * [taylor]: Taking taylor expansion of N in N 0.303 * [backup-simplify]: Simplify 0 into 0 0.303 * [backup-simplify]: Simplify 1 into 1 0.303 * [backup-simplify]: Simplify (/ -1 1) into -1 0.303 * [backup-simplify]: Simplify (log -1) into (log -1) 0.303 * [taylor]: Taking taylor expansion of (- (log (- 1.0 (/ 1 N))) (log (/ -1 N))) in N 0.303 * [taylor]: Taking taylor expansion of (log (- 1.0 (/ 1 N))) in N 0.303 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 N)) in N 0.303 * [taylor]: Taking taylor expansion of 1.0 in N 0.303 * [backup-simplify]: Simplify 1.0 into 1.0 0.303 * [taylor]: Taking taylor expansion of (/ 1 N) in N 0.303 * [taylor]: Taking taylor expansion of N in N 0.303 * [backup-simplify]: Simplify 0 into 0 0.303 * [backup-simplify]: Simplify 1 into 1 0.303 * [backup-simplify]: Simplify (/ 1 1) into 1 0.304 * [backup-simplify]: Simplify (- 1) into -1 0.304 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.304 * [backup-simplify]: Simplify (log -1) into (log -1) 0.304 * [taylor]: Taking taylor expansion of (log (/ -1 N)) in N 0.304 * [taylor]: Taking taylor expansion of (/ -1 N) in N 0.304 * [taylor]: Taking taylor expansion of -1 in N 0.304 * [backup-simplify]: Simplify -1 into -1 0.304 * [taylor]: Taking taylor expansion of N in N 0.304 * [backup-simplify]: Simplify 0 into 0 0.304 * [backup-simplify]: Simplify 1 into 1 0.305 * [backup-simplify]: Simplify (/ -1 1) into -1 0.305 * [backup-simplify]: Simplify (log -1) into (log -1) 0.305 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.306 * [backup-simplify]: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) 0.306 * [backup-simplify]: Simplify (- (- (log -1) (log N))) into (- (log N) (log -1)) 0.307 * [backup-simplify]: Simplify (+ (- (log -1) (log N)) (- (log N) (log -1))) into 0 0.307 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.307 * [backup-simplify]: Simplify (- 0) into 0 0.308 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 0.312 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1.0) 1)) (pow -1 1)))) 1) into -1.0 0.312 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.313 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 0.313 * [backup-simplify]: Simplify (- 0) into 0 0.313 * [backup-simplify]: Simplify (+ -1.0 0) into (- 1.0) 0.314 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 0.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.314 * [backup-simplify]: Simplify (- 0) into 0 0.315 * [backup-simplify]: Simplify (+ 0 0) into 0 0.322 * [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 0.323 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.324 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 0.324 * [backup-simplify]: Simplify (- 0) into 0 0.325 * [backup-simplify]: Simplify (+ -0.5 0) into (- 0.5) 0.325 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 0.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.326 * [backup-simplify]: Simplify (- 0) into 0 0.326 * [backup-simplify]: Simplify (+ 0 0) into 0 0.339 * [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 0.341 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.346 * [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 0.347 * [backup-simplify]: Simplify (- 0) into 0 0.347 * [backup-simplify]: Simplify (+ -0.3333333333333333 0) into (- 0.3333333333333333) 0.348 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 0.349 * [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)))) 0.349 * * * [progress]: simplifying candidates 0.351 * [simplify]: Simplifying: (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))) (/ (+ 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)) (- (+ (log 1.0) (* 1.0 N)) (* 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)))) (- (+ (log 1.0) (* 1.0 N)) (+ (* 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)))) 0.353 * * [simplify]: iteration 0: 101 enodes 0.376 * * [simplify]: iteration 1: 213 enodes 0.444 * * [simplify]: iteration 2: 645 enodes 0.854 * * [simplify]: iteration 3: 2789 enodes 1.595 * * [simplify]: iteration complete: 5000 enodes 1.596 * * [simplify]: Extracting #0: cost 39 inf + 0 1.597 * * [simplify]: Extracting #1: cost 226 inf + 1 1.602 * * [simplify]: Extracting #2: cost 1205 inf + 2218 1.624 * * [simplify]: Extracting #3: cost 1055 inf + 66032 1.658 * * [simplify]: Extracting #4: cost 281 inf + 165283 1.715 * * [simplify]: Extracting #5: cost 84 inf + 204729 1.779 * * [simplify]: Extracting #6: cost 48 inf + 215212 1.813 * * [simplify]: Extracting #7: cost 11 inf + 221055 1.863 * * [simplify]: Extracting #8: cost 0 inf + 223838 1.911 * [simplify]: Simplified to: (log (* (cbrt (+ 1.0 N)) (cbrt (+ 1.0 N)))) (log (cbrt (+ 1.0 N))) (log (sqrt (+ 1.0 N))) (log (sqrt (+ 1.0 N))) 0 (log (+ 1.0 N)) 0 (log (+ 1.0 N)) (log (+ (* (* N N) N) (* (* 1.0 1.0) 1.0))) (log (+ (* N N) (* 1.0 (- 1.0 N)))) (log (* (+ N 1.0) (- N 1.0))) (log (- N 1.0)) (log (+ 1.0 N)) (log (log (+ 1.0 N))) (+ 1.0 N) (* (cbrt (log (+ 1.0 N))) (cbrt (log (+ 1.0 N)))) (cbrt (log (+ 1.0 N))) (* (* (log (+ 1.0 N)) (log (+ 1.0 N))) (log (+ 1.0 N))) (sqrt (log (+ 1.0 N))) (sqrt (log (+ 1.0 N))) (/ (+ 1.0 N) N) (log (- (log (+ 1.0 N)) (log N))) (/ (+ 1.0 N) N) (* (cbrt (- (log (+ 1.0 N)) (log N))) (cbrt (- (log (+ 1.0 N)) (log N)))) (cbrt (- (log (+ 1.0 N)) (log N))) (* (* (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log N))) (- (log (+ 1.0 N)) (log N))) (sqrt (- (log (+ 1.0 N)) (log N))) (sqrt (- (log (+ 1.0 N)) (log N))) (- (* (* (log (+ 1.0 N)) (log (+ 1.0 N))) (log (+ 1.0 N))) (* (log N) (* (log N) (log N)))) (+ (* (log N) (+ (log (+ 1.0 N)) (log N))) (* (log (+ 1.0 N)) (log (+ 1.0 N)))) (- (log N)) (* (+ (log N) (log (+ 1.0 N))) (- (log (+ 1.0 N)) (log N))) (+ (log N) (log (+ 1.0 N))) (+ (sqrt (log N)) (sqrt (log (+ 1.0 N)))) (- (sqrt (log (+ 1.0 N))) (sqrt (log N))) (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log N)) (- (- (log (+ 1.0 N)) (log (cbrt N))) (log (cbrt N))) (- (log (+ 1.0 N)) (log (sqrt N))) (log (+ 1.0 N)) (- (log (cbrt (+ 1.0 N))) (log N)) (- (log (sqrt (+ 1.0 N))) (log N)) (- (log (+ 1.0 N)) (log N)) (- (log (+ 1.0 N)) (log N)) (+ (log N) (log (+ (* N N) (* 1.0 (- 1.0 N))))) (+ (log (- N 1.0)) (log N)) (- (log N)) (- (+ (log 1.0) (* N 1.0)) (* (/ N 1.0) (* (/ N 1.0) 1/2))) (+ (/ 1.0 N) (- (log N) (/ 0.5 (* N N)))) (+ (/ 1.0 N) (- (log N) (/ 0.5 (* N N)))) (- (+ (log 1.0) (* N 1.0)) (+ (log N) (* (/ N 1.0) (* (/ N 1.0) 1/2)))) (- (/ 1.0 N) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (- (/ 1.0 N) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) 1.915 * * * [progress]: adding candidates to table 2.110 * * [progress]: iteration 2 / 4 2.111 * * * [progress]: picking best candidate 2.118 * * * * [pick]: Picked # 2.119 * * * [progress]: localizing error 2.145 * * * [progress]: generating rewritten candidates 2.145 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 2.200 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 2.209 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 2.222 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 2.353 * * * [progress]: generating series expansions 2.353 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 2.354 * [backup-simplify]: Simplify (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) into (- (* 0.5 (/ 1 (pow N 2))) (* 0.3333333333333333 (/ 1 (pow N 3)))) 2.354 * [approximate]: Taking taylor expansion of (- (* 0.5 (/ 1 (pow N 2))) (* 0.3333333333333333 (/ 1 (pow N 3)))) in (N) around 0 2.354 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 (pow N 2))) (* 0.3333333333333333 (/ 1 (pow N 3)))) in N 2.354 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 2.354 * [taylor]: Taking taylor expansion of 0.5 in N 2.354 * [backup-simplify]: Simplify 0.5 into 0.5 2.354 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.354 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.354 * [taylor]: Taking taylor expansion of N in N 2.354 * [backup-simplify]: Simplify 0 into 0 2.354 * [backup-simplify]: Simplify 1 into 1 2.355 * [backup-simplify]: Simplify (* 1 1) into 1 2.355 * [backup-simplify]: Simplify (/ 1 1) into 1 2.355 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 2.355 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.355 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.355 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 2.355 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.355 * [taylor]: Taking taylor expansion of N in N 2.355 * [backup-simplify]: Simplify 0 into 0 2.355 * [backup-simplify]: Simplify 1 into 1 2.356 * [backup-simplify]: Simplify (* 1 1) into 1 2.356 * [backup-simplify]: Simplify (* 1 1) into 1 2.356 * [backup-simplify]: Simplify (/ 1 1) into 1 2.356 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 (pow N 2))) (* 0.3333333333333333 (/ 1 (pow N 3)))) in N 2.356 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 2.356 * [taylor]: Taking taylor expansion of 0.5 in N 2.356 * [backup-simplify]: Simplify 0.5 into 0.5 2.356 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.356 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.356 * [taylor]: Taking taylor expansion of N in N 2.356 * [backup-simplify]: Simplify 0 into 0 2.356 * [backup-simplify]: Simplify 1 into 1 2.357 * [backup-simplify]: Simplify (* 1 1) into 1 2.357 * [backup-simplify]: Simplify (/ 1 1) into 1 2.357 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 2.357 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.357 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.357 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 2.357 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.357 * [taylor]: Taking taylor expansion of N in N 2.357 * [backup-simplify]: Simplify 0 into 0 2.357 * [backup-simplify]: Simplify 1 into 1 2.357 * [backup-simplify]: Simplify (* 1 1) into 1 2.357 * [backup-simplify]: Simplify (* 1 1) into 1 2.358 * [backup-simplify]: Simplify (/ 1 1) into 1 2.358 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 2.358 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 2.359 * [backup-simplify]: Simplify (+ 0 (- 0.3333333333333333)) into (- 0.3333333333333333) 2.359 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 2.359 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 2.360 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.360 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.361 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 2.361 * [backup-simplify]: Simplify (- 0) into 0 2.362 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 2.362 * [backup-simplify]: Simplify 0.5 into 0.5 2.362 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.363 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 2.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.364 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.365 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 2.365 * [backup-simplify]: Simplify (- 0) into 0 2.365 * [backup-simplify]: Simplify (+ 0 0) into 0 2.365 * [backup-simplify]: Simplify 0 into 0 2.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.367 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 2.368 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.368 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.369 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.370 * [backup-simplify]: Simplify (- 0) into 0 2.370 * [backup-simplify]: Simplify (+ 0 0) into 0 2.370 * [backup-simplify]: Simplify 0 into 0 2.371 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.372 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.373 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.373 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.375 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.375 * [backup-simplify]: Simplify (- 0) into 0 2.375 * [backup-simplify]: Simplify (+ 0 0) into 0 2.375 * [backup-simplify]: Simplify 0 into 0 2.376 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.377 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.378 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.379 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.381 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.382 * [backup-simplify]: Simplify (- 0) into 0 2.382 * [backup-simplify]: Simplify (+ 0 0) into 0 2.382 * [backup-simplify]: Simplify 0 into 0 2.384 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.389 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.391 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.393 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.395 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.396 * [backup-simplify]: Simplify (- 0) into 0 2.397 * [backup-simplify]: Simplify (+ 0 0) into 0 2.397 * [backup-simplify]: Simplify 0 into 0 2.399 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.401 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.403 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 2.405 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 2.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.408 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 2.408 * [backup-simplify]: Simplify (- 0) into 0 2.408 * [backup-simplify]: Simplify (+ 0 0) into 0 2.408 * [backup-simplify]: Simplify 0 into 0 2.409 * [backup-simplify]: Simplify (+ (* 0.5 (pow (/ 1 N) 2)) (* (- 0.3333333333333333) (pow (/ 1 N) 3))) into (- (* 0.5 (/ 1 (pow N 2))) (* 0.3333333333333333 (/ 1 (pow N 3)))) 2.410 * [backup-simplify]: Simplify (- (/ 0.5 (* (/ 1 N) (/ 1 N))) (/ (/ 0.3333333333333333 (/ 1 N)) (* (/ 1 N) (/ 1 N)))) into (- (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3))) 2.410 * [approximate]: Taking taylor expansion of (- (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3))) in (N) around 0 2.410 * [taylor]: Taking taylor expansion of (- (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3))) in N 2.410 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 2.410 * [taylor]: Taking taylor expansion of 0.5 in N 2.410 * [backup-simplify]: Simplify 0.5 into 0.5 2.410 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.410 * [taylor]: Taking taylor expansion of N in N 2.410 * [backup-simplify]: Simplify 0 into 0 2.410 * [backup-simplify]: Simplify 1 into 1 2.410 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 2.410 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.410 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.410 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.410 * [taylor]: Taking taylor expansion of N in N 2.410 * [backup-simplify]: Simplify 0 into 0 2.410 * [backup-simplify]: Simplify 1 into 1 2.410 * [taylor]: Taking taylor expansion of (- (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3))) in N 2.410 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 2.410 * [taylor]: Taking taylor expansion of 0.5 in N 2.410 * [backup-simplify]: Simplify 0.5 into 0.5 2.410 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.410 * [taylor]: Taking taylor expansion of N in N 2.410 * [backup-simplify]: Simplify 0 into 0 2.410 * [backup-simplify]: Simplify 1 into 1 2.410 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 2.410 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.410 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.410 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.410 * [taylor]: Taking taylor expansion of N in N 2.410 * [backup-simplify]: Simplify 0 into 0 2.410 * [backup-simplify]: Simplify 1 into 1 2.411 * [backup-simplify]: Simplify (* 1 1) into 1 2.411 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 2.412 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 2.412 * [backup-simplify]: Simplify 0.5 into 0.5 2.412 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.413 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 2.413 * [backup-simplify]: Simplify (* 1 1) into 1 2.414 * [backup-simplify]: Simplify (* 1 1) into 1 2.414 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 2.415 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 2.416 * [backup-simplify]: Simplify (+ 0 (- 0.3333333333333333)) into (- 0.3333333333333333) 2.416 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 2.417 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.418 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 2.419 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.419 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.420 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 2.420 * [backup-simplify]: Simplify (- 0) into 0 2.421 * [backup-simplify]: Simplify (+ 0 0) into 0 2.421 * [backup-simplify]: Simplify 0 into 0 2.422 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.423 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.424 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.424 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.425 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 2.426 * [backup-simplify]: Simplify (- 0) into 0 2.426 * [backup-simplify]: Simplify (+ 0 0) into 0 2.426 * [backup-simplify]: Simplify 0 into 0 2.427 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.429 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.430 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.431 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.432 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.432 * [backup-simplify]: Simplify (- 0) into 0 2.433 * [backup-simplify]: Simplify (+ 0 0) into 0 2.433 * [backup-simplify]: Simplify 0 into 0 2.434 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.436 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.437 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.438 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.439 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.440 * [backup-simplify]: Simplify (- 0) into 0 2.440 * [backup-simplify]: Simplify (+ 0 0) into 0 2.440 * [backup-simplify]: Simplify 0 into 0 2.442 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.443 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.445 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.446 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.447 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.448 * [backup-simplify]: Simplify (- 0) into 0 2.448 * [backup-simplify]: Simplify (+ 0 0) into 0 2.448 * [backup-simplify]: Simplify 0 into 0 2.450 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 2.452 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 2.453 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.455 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.456 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.457 * [backup-simplify]: Simplify (- 0) into 0 2.457 * [backup-simplify]: Simplify (+ 0 0) into 0 2.457 * [backup-simplify]: Simplify 0 into 0 2.458 * [backup-simplify]: Simplify (+ (* (- 0.3333333333333333) (pow (/ 1 N) 3)) (* 0.5 (pow (/ 1 N) 2))) into (- (* 0.5 (/ 1 (pow N 2))) (* 0.3333333333333333 (/ 1 (pow N 3)))) 2.458 * [backup-simplify]: Simplify (- (/ 0.5 (* (/ 1 (- N)) (/ 1 (- N)))) (/ (/ 0.3333333333333333 (/ 1 (- N))) (* (/ 1 (- N)) (/ 1 (- N))))) into (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) 2.459 * [approximate]: Taking taylor expansion of (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) in (N) around 0 2.459 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) in N 2.459 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 2.459 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.459 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.459 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.459 * [taylor]: Taking taylor expansion of N in N 2.459 * [backup-simplify]: Simplify 0 into 0 2.459 * [backup-simplify]: Simplify 1 into 1 2.459 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 2.459 * [taylor]: Taking taylor expansion of 0.5 in N 2.459 * [backup-simplify]: Simplify 0.5 into 0.5 2.459 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.459 * [taylor]: Taking taylor expansion of N in N 2.459 * [backup-simplify]: Simplify 0 into 0 2.459 * [backup-simplify]: Simplify 1 into 1 2.459 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) in N 2.459 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 2.459 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.459 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.459 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.459 * [taylor]: Taking taylor expansion of N in N 2.459 * [backup-simplify]: Simplify 0 into 0 2.459 * [backup-simplify]: Simplify 1 into 1 2.459 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 2.459 * [taylor]: Taking taylor expansion of 0.5 in N 2.459 * [backup-simplify]: Simplify 0.5 into 0.5 2.459 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.459 * [taylor]: Taking taylor expansion of N in N 2.459 * [backup-simplify]: Simplify 0 into 0 2.459 * [backup-simplify]: Simplify 1 into 1 2.460 * [backup-simplify]: Simplify (* 1 1) into 1 2.460 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 2.461 * [backup-simplify]: Simplify (+ 0 0.5) into 0.5 2.461 * [backup-simplify]: Simplify 0.5 into 0.5 2.461 * [backup-simplify]: Simplify (* 1 1) into 1 2.462 * [backup-simplify]: Simplify (* 1 1) into 1 2.462 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 2.463 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.463 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 2.464 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 2.464 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.464 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.465 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.466 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 2.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.468 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 2.468 * [backup-simplify]: Simplify (+ 0 0) into 0 2.468 * [backup-simplify]: Simplify 0 into 0 2.469 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.470 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.471 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 2.472 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.473 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.473 * [backup-simplify]: Simplify (+ 0 0) into 0 2.473 * [backup-simplify]: Simplify 0 into 0 2.474 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.475 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.477 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.478 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.479 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.480 * [backup-simplify]: Simplify (+ 0 0) into 0 2.480 * [backup-simplify]: Simplify 0 into 0 2.481 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.482 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.484 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.485 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.486 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.487 * [backup-simplify]: Simplify (+ 0 0) into 0 2.487 * [backup-simplify]: Simplify 0 into 0 2.488 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.490 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.491 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.493 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.495 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.495 * [backup-simplify]: Simplify (+ 0 0) into 0 2.495 * [backup-simplify]: Simplify 0 into 0 2.497 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.500 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.502 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 2.504 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 2.504 * [backup-simplify]: Simplify (+ 0 0) into 0 2.504 * [backup-simplify]: Simplify 0 into 0 2.505 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 (- N)) 3)) (* 0.5 (pow (/ 1 (- N)) 2))) into (- (* 0.5 (/ 1 (pow N 2))) (* 0.3333333333333333 (/ 1 (pow N 3)))) 2.505 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 2.505 * [backup-simplify]: Simplify (/ 0.5 (* N N)) into (/ 0.5 (pow N 2)) 2.505 * [approximate]: Taking taylor expansion of (/ 0.5 (pow N 2)) in (N) around 0 2.505 * [taylor]: Taking taylor expansion of (/ 0.5 (pow N 2)) in N 2.505 * [taylor]: Taking taylor expansion of 0.5 in N 2.505 * [backup-simplify]: Simplify 0.5 into 0.5 2.505 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.505 * [taylor]: Taking taylor expansion of N in N 2.505 * [backup-simplify]: Simplify 0 into 0 2.505 * [backup-simplify]: Simplify 1 into 1 2.506 * [backup-simplify]: Simplify (* 1 1) into 1 2.506 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 2.506 * [taylor]: Taking taylor expansion of (/ 0.5 (pow N 2)) in N 2.506 * [taylor]: Taking taylor expansion of 0.5 in N 2.507 * [backup-simplify]: Simplify 0.5 into 0.5 2.507 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.507 * [taylor]: Taking taylor expansion of N in N 2.507 * [backup-simplify]: Simplify 0 into 0 2.507 * [backup-simplify]: Simplify 1 into 1 2.507 * [backup-simplify]: Simplify (* 1 1) into 1 2.507 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 2.508 * [backup-simplify]: Simplify 0.5 into 0.5 2.508 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.509 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0 2.509 * [backup-simplify]: Simplify 0 into 0 2.510 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.511 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.511 * [backup-simplify]: Simplify 0 into 0 2.512 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.514 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.514 * [backup-simplify]: Simplify 0 into 0 2.515 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.517 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.517 * [backup-simplify]: Simplify 0 into 0 2.518 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.519 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.519 * [backup-simplify]: Simplify 0 into 0 2.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.522 * [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 2.522 * [backup-simplify]: Simplify 0 into 0 2.522 * [backup-simplify]: Simplify (* 0.5 (pow (/ 1 N) 2)) into (/ 0.5 (pow N 2)) 2.522 * [backup-simplify]: Simplify (/ 0.5 (* (/ 1 N) (/ 1 N))) into (* 0.5 (pow N 2)) 2.522 * [approximate]: Taking taylor expansion of (* 0.5 (pow N 2)) in (N) around 0 2.523 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 2.523 * [taylor]: Taking taylor expansion of 0.5 in N 2.523 * [backup-simplify]: Simplify 0.5 into 0.5 2.523 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.523 * [taylor]: Taking taylor expansion of N in N 2.523 * [backup-simplify]: Simplify 0 into 0 2.523 * [backup-simplify]: Simplify 1 into 1 2.523 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 2.523 * [taylor]: Taking taylor expansion of 0.5 in N 2.523 * [backup-simplify]: Simplify 0.5 into 0.5 2.523 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.523 * [taylor]: Taking taylor expansion of N in N 2.523 * [backup-simplify]: Simplify 0 into 0 2.523 * [backup-simplify]: Simplify 1 into 1 2.523 * [backup-simplify]: Simplify (* 1 1) into 1 2.524 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 2.524 * [backup-simplify]: Simplify 0.5 into 0.5 2.524 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.525 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 2.525 * [backup-simplify]: Simplify 0 into 0 2.526 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.527 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 2.527 * [backup-simplify]: Simplify 0 into 0 2.527 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.528 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.528 * [backup-simplify]: Simplify 0 into 0 2.529 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.529 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.529 * [backup-simplify]: Simplify 0 into 0 2.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.531 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.531 * [backup-simplify]: Simplify 0 into 0 2.535 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.537 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.537 * [backup-simplify]: Simplify 0 into 0 2.537 * [backup-simplify]: Simplify (* 0.5 (pow (/ 1 N) 2)) into (/ 0.5 (pow N 2)) 2.537 * [backup-simplify]: Simplify (/ 0.5 (* (/ 1 (- N)) (/ 1 (- N)))) into (* 0.5 (pow N 2)) 2.537 * [approximate]: Taking taylor expansion of (* 0.5 (pow N 2)) in (N) around 0 2.537 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 2.537 * [taylor]: Taking taylor expansion of 0.5 in N 2.537 * [backup-simplify]: Simplify 0.5 into 0.5 2.537 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.537 * [taylor]: Taking taylor expansion of N in N 2.537 * [backup-simplify]: Simplify 0 into 0 2.537 * [backup-simplify]: Simplify 1 into 1 2.537 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 2.537 * [taylor]: Taking taylor expansion of 0.5 in N 2.537 * [backup-simplify]: Simplify 0.5 into 0.5 2.537 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.537 * [taylor]: Taking taylor expansion of N in N 2.537 * [backup-simplify]: Simplify 0 into 0 2.537 * [backup-simplify]: Simplify 1 into 1 2.537 * [backup-simplify]: Simplify (* 1 1) into 1 2.538 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 2.538 * [backup-simplify]: Simplify 0.5 into 0.5 2.538 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.539 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 2.539 * [backup-simplify]: Simplify 0 into 0 2.539 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.540 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 2.540 * [backup-simplify]: Simplify 0 into 0 2.540 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.541 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.541 * [backup-simplify]: Simplify 0 into 0 2.542 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.542 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.542 * [backup-simplify]: Simplify 0 into 0 2.543 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.544 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.544 * [backup-simplify]: Simplify 0 into 0 2.545 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.546 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.546 * [backup-simplify]: Simplify 0 into 0 2.546 * [backup-simplify]: Simplify (* 0.5 (pow (/ 1 (- N)) 2)) into (/ 0.5 (pow N 2)) 2.546 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 2.546 * [backup-simplify]: Simplify (/ (/ 0.3333333333333333 N) (* N N)) into (/ 0.3333333333333333 (pow N 3)) 2.546 * [approximate]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in (N) around 0 2.546 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 2.546 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.546 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.546 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.546 * [taylor]: Taking taylor expansion of N in N 2.546 * [backup-simplify]: Simplify 0 into 0 2.546 * [backup-simplify]: Simplify 1 into 1 2.547 * [backup-simplify]: Simplify (* 1 1) into 1 2.547 * [backup-simplify]: Simplify (* 1 1) into 1 2.547 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 2.547 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 2.547 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.547 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.547 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.547 * [taylor]: Taking taylor expansion of N in N 2.547 * [backup-simplify]: Simplify 0 into 0 2.547 * [backup-simplify]: Simplify 1 into 1 2.548 * [backup-simplify]: Simplify (* 1 1) into 1 2.548 * [backup-simplify]: Simplify (* 1 1) into 1 2.548 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 2.548 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.549 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.549 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.549 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)))) into 0 2.549 * [backup-simplify]: Simplify 0 into 0 2.550 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.551 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.551 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.551 * [backup-simplify]: Simplify 0 into 0 2.552 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.552 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.553 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.553 * [backup-simplify]: Simplify 0 into 0 2.554 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.555 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.555 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.555 * [backup-simplify]: Simplify 0 into 0 2.556 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.557 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.558 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.558 * [backup-simplify]: Simplify 0 into 0 2.558 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.559 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.560 * [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 2.560 * [backup-simplify]: Simplify 0 into 0 2.560 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 3)) into (/ 0.3333333333333333 (pow N 3)) 2.560 * [backup-simplify]: Simplify (/ (/ 0.3333333333333333 (/ 1 N)) (* (/ 1 N) (/ 1 N))) into (* 0.3333333333333333 (pow N 3)) 2.560 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in (N) around 0 2.560 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 2.560 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.560 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.560 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.560 * [taylor]: Taking taylor expansion of N in N 2.560 * [backup-simplify]: Simplify 0 into 0 2.560 * [backup-simplify]: Simplify 1 into 1 2.560 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 2.560 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.561 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.561 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.561 * [taylor]: Taking taylor expansion of N in N 2.561 * [backup-simplify]: Simplify 0 into 0 2.561 * [backup-simplify]: Simplify 1 into 1 2.561 * [backup-simplify]: Simplify (* 1 1) into 1 2.561 * [backup-simplify]: Simplify (* 1 1) into 1 2.561 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 2.561 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.562 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.562 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.563 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 2.563 * [backup-simplify]: Simplify 0 into 0 2.563 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.564 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.564 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 2.564 * [backup-simplify]: Simplify 0 into 0 2.565 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.565 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.566 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.566 * [backup-simplify]: Simplify 0 into 0 2.567 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.567 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.568 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.568 * [backup-simplify]: Simplify 0 into 0 2.569 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.570 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.571 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.571 * [backup-simplify]: Simplify 0 into 0 2.572 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.574 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.576 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.576 * [backup-simplify]: Simplify 0 into 0 2.576 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 3)) into (/ 0.3333333333333333 (pow N 3)) 2.576 * [backup-simplify]: Simplify (/ (/ 0.3333333333333333 (/ 1 (- N))) (* (/ 1 (- N)) (/ 1 (- N)))) into (* -0.3333333333333333 (pow N 3)) 2.576 * [approximate]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in (N) around 0 2.576 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 2.576 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 2.576 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 2.576 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.576 * [taylor]: Taking taylor expansion of N in N 2.577 * [backup-simplify]: Simplify 0 into 0 2.577 * [backup-simplify]: Simplify 1 into 1 2.577 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 2.577 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 2.577 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 2.577 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.577 * [taylor]: Taking taylor expansion of N in N 2.577 * [backup-simplify]: Simplify 0 into 0 2.577 * [backup-simplify]: Simplify 1 into 1 2.577 * [backup-simplify]: Simplify (* 1 1) into 1 2.578 * [backup-simplify]: Simplify (* 1 1) into 1 2.578 * [backup-simplify]: Simplify (* -0.3333333333333333 1) into -0.3333333333333333 2.578 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 2.579 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.580 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.580 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (* 0 1)) into 0 2.580 * [backup-simplify]: Simplify 0 into 0 2.581 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.582 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.583 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 2.583 * [backup-simplify]: Simplify 0 into 0 2.584 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.585 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.587 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.587 * [backup-simplify]: Simplify 0 into 0 2.588 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.590 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.591 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.591 * [backup-simplify]: Simplify 0 into 0 2.593 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.594 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.596 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.596 * [backup-simplify]: Simplify 0 into 0 2.597 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.599 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.600 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.600 * [backup-simplify]: Simplify 0 into 0 2.601 * [backup-simplify]: Simplify (* -0.3333333333333333 (pow (/ 1 (- N)) 3)) into (/ 0.3333333333333333 (pow N 3)) 2.601 * * * * [progress]: [ 4 / 4 ] generating series at (2) 2.601 * [backup-simplify]: Simplify (- (/ 1.0 N) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) into (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) 2.601 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) in (N) around 0 2.601 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) in N 2.601 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) in N 2.601 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 2.601 * [taylor]: Taking taylor expansion of 1.0 in N 2.601 * [backup-simplify]: Simplify 1.0 into 1.0 2.602 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.602 * [taylor]: Taking taylor expansion of N in N 2.602 * [backup-simplify]: Simplify 0 into 0 2.602 * [backup-simplify]: Simplify 1 into 1 2.602 * [backup-simplify]: Simplify (/ 1 1) into 1 2.602 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 2.602 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.602 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.602 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 2.602 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.602 * [taylor]: Taking taylor expansion of N in N 2.602 * [backup-simplify]: Simplify 0 into 0 2.602 * [backup-simplify]: Simplify 1 into 1 2.603 * [backup-simplify]: Simplify (* 1 1) into 1 2.603 * [backup-simplify]: Simplify (* 1 1) into 1 2.603 * [backup-simplify]: Simplify (/ 1 1) into 1 2.603 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 2.603 * [taylor]: Taking taylor expansion of 0.5 in N 2.603 * [backup-simplify]: Simplify 0.5 into 0.5 2.604 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.604 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.604 * [taylor]: Taking taylor expansion of N in N 2.604 * [backup-simplify]: Simplify 0 into 0 2.604 * [backup-simplify]: Simplify 1 into 1 2.604 * [backup-simplify]: Simplify (* 1 1) into 1 2.604 * [backup-simplify]: Simplify (/ 1 1) into 1 2.605 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) in N 2.605 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) in N 2.605 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 2.605 * [taylor]: Taking taylor expansion of 1.0 in N 2.605 * [backup-simplify]: Simplify 1.0 into 1.0 2.605 * [taylor]: Taking taylor expansion of (/ 1 N) in N 2.605 * [taylor]: Taking taylor expansion of N in N 2.605 * [backup-simplify]: Simplify 0 into 0 2.605 * [backup-simplify]: Simplify 1 into 1 2.605 * [backup-simplify]: Simplify (/ 1 1) into 1 2.605 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 2.605 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.605 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.605 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 2.605 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.605 * [taylor]: Taking taylor expansion of N in N 2.605 * [backup-simplify]: Simplify 0 into 0 2.605 * [backup-simplify]: Simplify 1 into 1 2.606 * [backup-simplify]: Simplify (* 1 1) into 1 2.606 * [backup-simplify]: Simplify (* 1 1) into 1 2.606 * [backup-simplify]: Simplify (/ 1 1) into 1 2.606 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 2.606 * [taylor]: Taking taylor expansion of 0.5 in N 2.606 * [backup-simplify]: Simplify 0.5 into 0.5 2.607 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 2.607 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.607 * [taylor]: Taking taylor expansion of N in N 2.607 * [backup-simplify]: Simplify 0 into 0 2.607 * [backup-simplify]: Simplify 1 into 1 2.607 * [backup-simplify]: Simplify (* 1 1) into 1 2.607 * [backup-simplify]: Simplify (/ 1 1) into 1 2.608 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 2.608 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 2.609 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 2.609 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.609 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.610 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.611 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 2.611 * [backup-simplify]: Simplify (+ 0 0) into 0 2.611 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 2.612 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 2.612 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 2.612 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 2.613 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 2.613 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.614 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.615 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 2.615 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.616 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.616 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 2.617 * [backup-simplify]: Simplify (- 0) into 0 2.617 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.617 * [backup-simplify]: Simplify 1.0 into 1.0 2.617 * [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)))) 2.618 * [backup-simplify]: Simplify (- (/ 1.0 (/ 1 N)) (- (/ 0.5 (* (/ 1 N) (/ 1 N))) (/ (/ 0.3333333333333333 (/ 1 N)) (* (/ 1 N) (/ 1 N))))) into (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) 2.618 * [approximate]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in (N) around 0 2.618 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 2.618 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 2.618 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 2.618 * [taylor]: Taking taylor expansion of 1.0 in N 2.618 * [backup-simplify]: Simplify 1.0 into 1.0 2.618 * [taylor]: Taking taylor expansion of N in N 2.618 * [backup-simplify]: Simplify 0 into 0 2.618 * [backup-simplify]: Simplify 1 into 1 2.618 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 2.618 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.618 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.618 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.618 * [taylor]: Taking taylor expansion of N in N 2.618 * [backup-simplify]: Simplify 0 into 0 2.618 * [backup-simplify]: Simplify 1 into 1 2.618 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 2.618 * [taylor]: Taking taylor expansion of 0.5 in N 2.618 * [backup-simplify]: Simplify 0.5 into 0.5 2.618 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.618 * [taylor]: Taking taylor expansion of N in N 2.618 * [backup-simplify]: Simplify 0 into 0 2.618 * [backup-simplify]: Simplify 1 into 1 2.618 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 2.618 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 2.618 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 2.618 * [taylor]: Taking taylor expansion of 1.0 in N 2.618 * [backup-simplify]: Simplify 1.0 into 1.0 2.618 * [taylor]: Taking taylor expansion of N in N 2.618 * [backup-simplify]: Simplify 0 into 0 2.618 * [backup-simplify]: Simplify 1 into 1 2.618 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 2.618 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.618 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.618 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.618 * [taylor]: Taking taylor expansion of N in N 2.618 * [backup-simplify]: Simplify 0 into 0 2.618 * [backup-simplify]: Simplify 1 into 1 2.618 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 2.618 * [taylor]: Taking taylor expansion of 0.5 in N 2.618 * [backup-simplify]: Simplify 0.5 into 0.5 2.618 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.618 * [taylor]: Taking taylor expansion of N in N 2.618 * [backup-simplify]: Simplify 0 into 0 2.618 * [backup-simplify]: Simplify 1 into 1 2.619 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.619 * [backup-simplify]: Simplify (+ 0 0) into 0 2.619 * [backup-simplify]: Simplify (+ 0 0) into 0 2.619 * [backup-simplify]: Simplify 0 into 0 2.620 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 2.620 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.621 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.621 * [backup-simplify]: Simplify 1.0 into 1.0 2.621 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 2.622 * [backup-simplify]: Simplify (+ 0 0) into 0 2.622 * [backup-simplify]: Simplify (* 1 1) into 1 2.622 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 2.622 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 2.623 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 2.623 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 2.624 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.624 * [backup-simplify]: Simplify (* 1 1) into 1 2.624 * [backup-simplify]: Simplify (* 1 1) into 1 2.624 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 2.625 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 2.625 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.625 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 2.626 * [backup-simplify]: Simplify (- 0) into 0 2.626 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 2.626 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.627 * [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)))) 2.627 * [backup-simplify]: Simplify (- (/ 1.0 (/ 1 (- N))) (- (/ 0.5 (* (/ 1 (- N)) (/ 1 (- N)))) (/ (/ 0.3333333333333333 (/ 1 (- N))) (* (/ 1 (- N)) (/ 1 (- N)))))) into (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) 2.627 * [approximate]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in (N) around 0 2.627 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 2.627 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 2.627 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 2.627 * [taylor]: Taking taylor expansion of 0.5 in N 2.627 * [backup-simplify]: Simplify 0.5 into 0.5 2.627 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.627 * [taylor]: Taking taylor expansion of N in N 2.627 * [backup-simplify]: Simplify 0 into 0 2.627 * [backup-simplify]: Simplify 1 into 1 2.627 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 2.627 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 2.627 * [taylor]: Taking taylor expansion of 1.0 in N 2.627 * [backup-simplify]: Simplify 1.0 into 1.0 2.627 * [taylor]: Taking taylor expansion of N in N 2.627 * [backup-simplify]: Simplify 0 into 0 2.627 * [backup-simplify]: Simplify 1 into 1 2.627 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 2.627 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.627 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.627 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.627 * [taylor]: Taking taylor expansion of N in N 2.627 * [backup-simplify]: Simplify 0 into 0 2.627 * [backup-simplify]: Simplify 1 into 1 2.627 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 2.627 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 2.627 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 2.627 * [taylor]: Taking taylor expansion of 0.5 in N 2.627 * [backup-simplify]: Simplify 0.5 into 0.5 2.627 * [taylor]: Taking taylor expansion of (pow N 2) in N 2.627 * [taylor]: Taking taylor expansion of N in N 2.627 * [backup-simplify]: Simplify 0 into 0 2.627 * [backup-simplify]: Simplify 1 into 1 2.627 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 2.627 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 2.628 * [taylor]: Taking taylor expansion of 1.0 in N 2.628 * [backup-simplify]: Simplify 1.0 into 1.0 2.628 * [taylor]: Taking taylor expansion of N in N 2.628 * [backup-simplify]: Simplify 0 into 0 2.628 * [backup-simplify]: Simplify 1 into 1 2.628 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 2.628 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 2.628 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 2.628 * [taylor]: Taking taylor expansion of (pow N 3) in N 2.628 * [taylor]: Taking taylor expansion of N in N 2.628 * [backup-simplify]: Simplify 0 into 0 2.628 * [backup-simplify]: Simplify 1 into 1 2.628 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.628 * [backup-simplify]: Simplify (+ 0 0) into 0 2.629 * [backup-simplify]: Simplify (+ 0 0) into 0 2.629 * [backup-simplify]: Simplify (- 0) into 0 2.629 * [backup-simplify]: Simplify 0 into 0 2.630 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 2.630 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.630 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 2.630 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 2.631 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 2.631 * [backup-simplify]: Simplify (* 1 1) into 1 2.631 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 2.632 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 2.632 * [backup-simplify]: Simplify (+ 0 0) into 0 2.632 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 2.633 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 2.633 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 2.633 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.634 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 2.634 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.635 * [backup-simplify]: Simplify (* 1 1) into 1 2.635 * [backup-simplify]: Simplify (* 1 1) into 1 2.635 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 2.635 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 2.636 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 2.636 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 2.636 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 2.637 * [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)))) 2.637 * * * [progress]: simplifying candidates 2.645 * [simplify]: Simplifying: (/ (exp (/ 0.5 (* N N))) (exp (/ (/ 0.3333333333333333 N) (* N N)))) (log (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (exp (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (* (cbrt (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (cbrt (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))))) (cbrt (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (* (* (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (sqrt (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (sqrt (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (- 0.5 (/ 0.3333333333333333 N)) (- (* 0.5 (* N N)) (* (* N N) (/ 0.3333333333333333 N))) (* (* N N) (* N N)) (- (pow (/ 0.5 (* N N)) 3) (pow (/ (/ 0.3333333333333333 N) (* N N)) 3)) (+ (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (+ (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (* (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))))) (- (/ (/ 0.3333333333333333 N) (* N N))) (- (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (+ (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (+ (sqrt (/ 0.5 (* N N))) (sqrt (/ (/ 0.3333333333333333 N) (* N N)))) (- (sqrt (/ 0.5 (* N N))) (sqrt (/ (/ 0.3333333333333333 N) (* N N)))) (+ (sqrt (/ 0.5 (* N N))) (/ (sqrt (/ 0.3333333333333333 N)) N)) (- (sqrt (/ 0.5 (* N N))) (/ (sqrt (/ 0.3333333333333333 N)) N)) (+ (sqrt (/ 0.5 (* N N))) (/ (/ (sqrt 0.3333333333333333) (sqrt N)) N)) (- (sqrt (/ 0.5 (* N N))) (/ (/ (sqrt 0.3333333333333333) (sqrt N)) N)) (+ (/ (sqrt 0.5) N) (sqrt (/ (/ 0.3333333333333333 N) (* N N)))) (- (/ (sqrt 0.5) N) (sqrt (/ (/ 0.3333333333333333 N) (* N N)))) (+ (/ (sqrt 0.5) N) (/ (sqrt (/ 0.3333333333333333 N)) N)) (- (/ (sqrt 0.5) N) (/ (sqrt (/ 0.3333333333333333 N)) N)) (+ (/ (sqrt 0.5) N) (/ (/ (sqrt 0.3333333333333333) (sqrt N)) N)) (- (/ (sqrt 0.5) N) (/ (/ (sqrt 0.3333333333333333) (sqrt N)) N)) (- (/ 0.5 N) (/ (/ 0.3333333333333333 N) N)) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (- 0.5 (/ 0.3333333333333333 N)) (- (/ (/ 0.3333333333333333 N) (* N N))) (- (log 0.5) (+ (log N) (log N))) (- (log 0.5) (log (* N N))) (log (/ 0.5 (* N N))) (exp (/ 0.5 (* N N))) (/ (* (* 0.5 0.5) 0.5) (* (* (* N N) N) (* (* N N) N))) (/ (* (* 0.5 0.5) 0.5) (* (* (* N N) (* N N)) (* N N))) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N)))) (cbrt (/ 0.5 (* N N))) (* (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N))) (- 0.5) (- (* N N)) (/ (* (cbrt 0.5) (cbrt 0.5)) N) (/ (cbrt 0.5) N) (/ (sqrt 0.5) N) (/ (sqrt 0.5) N) (/ 1 N) (/ 0.5 N) (/ 1 (* N N)) (/ (* N N) 0.5) (/ 0.5 N) (/ (* N N) (cbrt 0.5)) (/ (* N N) (sqrt 0.5)) (/ (* N N) 0.5) (- (- (log 0.3333333333333333) (log N)) (+ (log N) (log N))) (- (- (log 0.3333333333333333) (log N)) (log (* N N))) (- (log (/ 0.3333333333333333 N)) (+ (log N) (log N))) (- (log (/ 0.3333333333333333 N)) (log (* N N))) (log (/ (/ 0.3333333333333333 N) (* N N))) (exp (/ (/ 0.3333333333333333 N) (* N N))) (/ (/ (* (* 0.3333333333333333 0.3333333333333333) 0.3333333333333333) (* (* N N) N)) (* (* (* N N) N) (* (* N N) N))) (/ (/ (* (* 0.3333333333333333 0.3333333333333333) 0.3333333333333333) (* (* N N) N)) (* (* (* N N) (* N N)) (* N N))) (/ (* (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (/ 0.3333333333333333 N)) (* (* (* N N) N) (* (* N N) N))) (/ (* (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (/ 0.3333333333333333 N)) (* (* (* N N) (* N N)) (* N N))) (* (cbrt (/ (/ 0.3333333333333333 N) (* N N))) (cbrt (/ (/ 0.3333333333333333 N) (* N N)))) (cbrt (/ (/ 0.3333333333333333 N) (* N N))) (* (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (/ (/ 0.3333333333333333 N) (* N N))) (sqrt (/ (/ 0.3333333333333333 N) (* N N))) (sqrt (/ (/ 0.3333333333333333 N) (* N N))) (- (/ 0.3333333333333333 N)) (- (* N N)) (/ (* (cbrt (/ 0.3333333333333333 N)) (cbrt (/ 0.3333333333333333 N))) N) (/ (cbrt (/ 0.3333333333333333 N)) N) (/ (sqrt (/ 0.3333333333333333 N)) N) (/ (sqrt (/ 0.3333333333333333 N)) N) (/ (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* (cbrt N) (cbrt N))) N) (/ (/ (cbrt 0.3333333333333333) (cbrt N)) N) (/ (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (sqrt N)) N) (/ (/ (cbrt 0.3333333333333333) (sqrt N)) N) (/ (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) 1) N) (/ (/ (cbrt 0.3333333333333333) N) N) (/ (/ (sqrt 0.3333333333333333) (* (cbrt N) (cbrt N))) N) (/ (/ (sqrt 0.3333333333333333) (cbrt N)) N) (/ (/ (sqrt 0.3333333333333333) (sqrt N)) N) (/ (/ (sqrt 0.3333333333333333) (sqrt N)) N) (/ (/ (sqrt 0.3333333333333333) 1) N) (/ (/ (sqrt 0.3333333333333333) N) N) (/ (/ 1 (* (cbrt N) (cbrt N))) N) (/ (/ 0.3333333333333333 (cbrt N)) N) (/ (/ 1 (sqrt N)) N) (/ (/ 0.3333333333333333 (sqrt N)) N) (/ (/ 1 1) N) (/ (/ 0.3333333333333333 N) N) (/ 1 N) (/ (/ 0.3333333333333333 N) N) (/ 0.3333333333333333 N) (/ (/ 1 N) N) (/ 1 (* N N)) (/ (* N N) (/ 0.3333333333333333 N)) (/ (/ 0.3333333333333333 N) N) (/ (* N N) (cbrt (/ 0.3333333333333333 N))) (/ (* N N) (sqrt (/ 0.3333333333333333 N))) (/ (* N N) (/ (cbrt 0.3333333333333333) (cbrt N))) (/ (* N N) (/ (cbrt 0.3333333333333333) (sqrt N))) (/ (* N N) (/ (cbrt 0.3333333333333333) N)) (/ (* N N) (/ (sqrt 0.3333333333333333) (cbrt N))) (/ (* N N) (/ (sqrt 0.3333333333333333) (sqrt N))) (/ (* N N) (/ (sqrt 0.3333333333333333) N)) (/ (* N N) (/ 0.3333333333333333 (cbrt N))) (/ (* N N) (/ 0.3333333333333333 (sqrt N))) (/ (* N N) (/ 0.3333333333333333 N)) (/ (* N N) (/ 0.3333333333333333 N)) (/ (* N N) (/ 1 N)) (* (* N N) N) (/ (exp (/ 1.0 N)) (/ (exp (/ 0.5 (* N N))) (exp (/ (/ 0.3333333333333333 N) (* N N))))) (/ (exp (/ 1.0 N)) (exp (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))))) (log (- (/ 1.0 N) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))))) (exp (- (/ 1.0 N) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))))) (* (cbrt (- (/ 1.0 N) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))))) (cbrt (- (/ 1.0 N) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))))) (cbrt (- (/ 1.0 N) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))))) (* (* (- (/ 1.0 N) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (- (/ 1.0 N) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))))) (- (/ 1.0 N) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))))) (sqrt (- (/ 1.0 N) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))))) (sqrt (- (/ 1.0 N) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))))) (- (* 1.0 (* N N)) (* N (- 0.5 (/ 0.3333333333333333 N)))) (* N (* N N)) (- (* 1.0 (* (* N N) (* N N))) (* N (- (* 0.5 (* N N)) (* (* N N) (/ 0.3333333333333333 N))))) (* N (* (* N N) (* N N))) (- (* 1.0 (+ (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (+ (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (* (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))))) (* N (- (pow (/ 0.5 (* N N)) 3) (pow (/ (/ 0.3333333333333333 N) (* N N)) 3)))) (* N (+ (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (+ (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (* (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))))) (- (* 1.0 (+ (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (* N (- (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))))) (* N (+ (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (- (pow (/ 1.0 N) 3) (pow (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) 3)) (+ (* (/ 1.0 N) (/ 1.0 N)) (+ (* (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (* (/ 1.0 N) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))))) (- (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (- (* (/ 1.0 N) (/ 1.0 N)) (* (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))))) (+ (/ 1.0 N) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (+ (sqrt (/ 1.0 N)) (sqrt (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))))) (- (sqrt (/ 1.0 N)) (sqrt (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))))) (+ (/ (sqrt 1.0) (sqrt N)) (sqrt (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))))) (- (/ (sqrt 1.0) (sqrt N)) (sqrt (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))))) (- (/ 1.0 N) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (- (/ 1.0 N) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N))) (- (/ 1.0 N) (/ 0.5 (* N N))) (- (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (- (* 0.5 (/ 1 (pow N 2))) (* 0.3333333333333333 (/ 1 (pow N 3)))) (- (* 0.5 (/ 1 (pow N 2))) (* 0.3333333333333333 (/ 1 (pow N 3)))) (- (* 0.5 (/ 1 (pow N 2))) (* 0.3333333333333333 (/ 1 (pow N 3)))) (/ 0.5 (pow N 2)) (/ 0.5 (pow N 2)) (/ 0.5 (pow N 2)) (/ 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)))) 2.647 * * [simplify]: iteration 0: 223 enodes 2.689 * * [simplify]: iteration 1: 602 enodes 3.388 * * [simplify]: iteration 2: 3082 enodes 4.422 * * [simplify]: iteration complete: 5000 enodes 4.423 * * [simplify]: Extracting #0: cost 112 inf + 0 4.426 * * [simplify]: Extracting #1: cost 865 inf + 0 4.434 * * [simplify]: Extracting #2: cost 2298 inf + 10421 4.460 * * [simplify]: Extracting #3: cost 1186 inf + 180483 4.547 * * [simplify]: Extracting #4: cost 175 inf + 350132 4.623 * * [simplify]: Extracting #5: cost 12 inf + 381392 4.714 * * [simplify]: Extracting #6: cost 0 inf + 384346 4.804 * * [simplify]: Extracting #7: cost 0 inf + 384266 4.909 * [simplify]: Simplified to: (exp (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N)))) (log (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N)))) (exp (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N)))) (* (cbrt (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N)))) (cbrt (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N))))) (cbrt (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N)))) (* (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N))) (* (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N))) (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N))))) (sqrt (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N)))) (sqrt (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N)))) (- 0.5 (/ 0.3333333333333333 N)) (- (* 0.5 (* N N)) (* (/ 0.3333333333333333 N) (* N N))) (* (* N N) (* N N)) (- (* (* (/ (/ 0.5 N) N) (/ (/ 0.5 N) N)) (/ (/ 0.5 N) N)) (* (* (/ (/ (/ 0.3333333333333333 N) N) N) (/ (/ (/ 0.3333333333333333 N) N) N)) (/ (/ (/ 0.3333333333333333 N) N) N))) (+ (* (/ (/ 0.5 N) N) (/ (/ 0.5 N) N)) (* (/ (/ 0.3333333333333333 N) (* N N)) (+ (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.5 N) N)))) (/ (- 0.3333333333333333) (* N (* N N))) (* (+ (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N))) (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N)))) (+ (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N))) (+ (sqrt (/ (/ 0.5 N) N)) (sqrt (/ (/ 0.3333333333333333 N) (* N N)))) (- (sqrt (/ (/ 0.5 N) N)) (sqrt (/ (/ 0.3333333333333333 N) (* N N)))) (+ (sqrt (/ (/ 0.5 N) N)) (/ (sqrt (/ 0.3333333333333333 N)) N)) (- (sqrt (/ (/ 0.5 N) N)) (/ (sqrt (/ 0.3333333333333333 N)) N)) (+ (sqrt (/ (/ 0.5 N) N)) (/ (/ (sqrt 0.3333333333333333) (sqrt N)) N)) (- (sqrt (/ (/ 0.5 N) N)) (/ (/ (sqrt 0.3333333333333333) (sqrt N)) N)) (+ (/ (sqrt 0.5) N) (sqrt (/ (/ 0.3333333333333333 N) (* N N)))) (- (/ (sqrt 0.5) N) (sqrt (/ (/ 0.3333333333333333 N) (* N N)))) (+ (/ (sqrt (/ 0.3333333333333333 N)) N) (/ (sqrt 0.5) N)) (- (/ (sqrt 0.5) N) (/ (sqrt (/ 0.3333333333333333 N)) N)) (+ (/ (/ (sqrt 0.3333333333333333) (sqrt N)) N) (/ (sqrt 0.5) N)) (- (/ (sqrt 0.5) N) (/ (/ (sqrt 0.3333333333333333) (sqrt N)) N)) (- (/ 0.5 N) (/ (/ 0.3333333333333333 N) N)) (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N))) (- 0.5 (/ 0.3333333333333333 N)) (/ (- 0.3333333333333333) (* N (* N N))) (log (/ (/ 0.5 N) N)) (log (/ (/ 0.5 N) N)) (log (/ (/ 0.5 N) N)) (exp (/ (/ 0.5 N) N)) (* (* (/ (/ 0.5 N) N) (/ (/ 0.5 N) N)) (/ (/ 0.5 N) N)) (* (* (/ (/ 0.5 N) N) (/ (/ 0.5 N) N)) (/ (/ 0.5 N) N)) (* (cbrt (/ (/ 0.5 N) N)) (cbrt (/ (/ 0.5 N) N))) (cbrt (/ (/ 0.5 N) N)) (* (* (/ (/ 0.5 N) N) (/ (/ 0.5 N) N)) (/ (/ 0.5 N) N)) (sqrt (/ (/ 0.5 N) N)) (sqrt (/ (/ 0.5 N) N)) (- 0.5) (- (* N N)) (/ (* (cbrt 0.5) (cbrt 0.5)) N) (/ (cbrt 0.5) N) (/ (sqrt 0.5) N) (/ (sqrt 0.5) N) (/ 1 N) (/ 0.5 N) (/ (/ 1 N) N) (/ N (/ 0.5 N)) (/ 0.5 N) (/ N (/ (cbrt 0.5) N)) (* (/ N (sqrt 0.5)) N) (/ N (/ 0.5 N)) (log (/ (/ 0.3333333333333333 N) (* N N))) (log (/ (/ 0.3333333333333333 N) (* N N))) (log (/ (/ 0.3333333333333333 N) (* N N))) (log (/ (/ 0.3333333333333333 N) (* N N))) (log (/ (/ 0.3333333333333333 N) (* N N))) (exp (/ (/ 0.3333333333333333 N) (* N N))) (* (* (/ (/ (/ 0.3333333333333333 N) N) N) (/ (/ (/ 0.3333333333333333 N) N) N)) (/ (/ (/ 0.3333333333333333 N) N) N)) (* (* (/ (/ (/ 0.3333333333333333 N) N) N) (/ (/ (/ 0.3333333333333333 N) N) N)) (/ (/ (/ 0.3333333333333333 N) N) N)) (* (* (/ (/ (/ 0.3333333333333333 N) N) N) (/ (/ (/ 0.3333333333333333 N) N) N)) (/ (/ (/ 0.3333333333333333 N) N) N)) (* (* (/ (/ (/ 0.3333333333333333 N) N) N) (/ (/ (/ 0.3333333333333333 N) N) N)) (/ (/ (/ 0.3333333333333333 N) N) N)) (* (cbrt (/ (/ 0.3333333333333333 N) (* N N))) (cbrt (/ (/ 0.3333333333333333 N) (* N N)))) (cbrt (/ (/ 0.3333333333333333 N) (* N N))) (* (* (/ (/ (/ 0.3333333333333333 N) N) N) (/ (/ (/ 0.3333333333333333 N) N) N)) (/ (/ (/ 0.3333333333333333 N) N) N)) (sqrt (/ (/ 0.3333333333333333 N) (* N N))) (sqrt (/ (/ 0.3333333333333333 N) (* N N))) (/ (- 0.3333333333333333) N) (- (* N N)) (* (/ (cbrt (/ 0.3333333333333333 N)) N) (cbrt (/ 0.3333333333333333 N))) (/ (cbrt (/ 0.3333333333333333 N)) N) (/ (sqrt (/ 0.3333333333333333 N)) N) (/ (sqrt (/ 0.3333333333333333 N)) N) (/ (/ (cbrt 0.3333333333333333) (cbrt N)) (/ N (/ (cbrt 0.3333333333333333) (cbrt N)))) (/ (cbrt 0.3333333333333333) (* (cbrt N) N)) (* (/ (cbrt 0.3333333333333333) N) (/ (cbrt 0.3333333333333333) (sqrt N))) (/ (cbrt 0.3333333333333333) (* N (sqrt N))) (/ (cbrt 0.3333333333333333) (/ N (cbrt 0.3333333333333333))) (/ (/ (cbrt 0.3333333333333333) N) N) (/ (/ (sqrt 0.3333333333333333) N) (* (cbrt N) (cbrt N))) (/ (/ (sqrt 0.3333333333333333) (cbrt N)) N) (/ (/ (sqrt 0.3333333333333333) (sqrt N)) N) (/ (/ (sqrt 0.3333333333333333) (sqrt N)) N) (/ (sqrt 0.3333333333333333) N) (/ (/ (sqrt 0.3333333333333333) N) N) (/ (/ (/ 1 (cbrt N)) (cbrt N)) N) (/ (/ 0.3333333333333333 (cbrt N)) N) (/ 1 (* N (sqrt N))) (/ 0.3333333333333333 (* N (sqrt N))) (/ 1 N) (/ (/ 0.3333333333333333 N) N) (/ 1 N) (/ (/ 0.3333333333333333 N) N) (/ 0.3333333333333333 N) (/ (/ 1 N) N) (/ (/ 1 N) N) (* (/ N (/ 0.3333333333333333 N)) N) (/ (/ 0.3333333333333333 N) N) (/ (* N N) (cbrt (/ 0.3333333333333333 N))) (/ (* N N) (sqrt (/ 0.3333333333333333 N))) (* (/ (* N N) (cbrt 0.3333333333333333)) (cbrt N)) (/ (* (* N N) (sqrt N)) (cbrt 0.3333333333333333)) (* (/ N (cbrt 0.3333333333333333)) (* N N)) (* (/ N (sqrt 0.3333333333333333)) (* (cbrt N) N)) (/ N (/ (/ (sqrt 0.3333333333333333) (sqrt N)) N)) (* N (/ N (/ (sqrt 0.3333333333333333) N))) (/ N (/ (/ 0.3333333333333333 (cbrt N)) N)) (* (/ N (/ 0.3333333333333333 N)) (sqrt N)) (* (/ N (/ 0.3333333333333333 N)) N) (* (/ N (/ 0.3333333333333333 N)) N) (* N (* N N)) (* N (* N N)) (exp (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N))))) (exp (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N))))) (log (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N))))) (exp (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N))))) (* (cbrt (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N))))) (cbrt (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N)))))) (cbrt (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N))))) (* (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N)))) (* (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N)))) (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N)))))) (sqrt (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N))))) (sqrt (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N))))) (* N (- (* 1.0 N) (- 0.5 (/ 0.3333333333333333 N)))) (* N (* N N)) (- (* (* (* N N) (* N N)) 1.0) (* (- (* 0.5 (* N N)) (* (/ 0.3333333333333333 N) (* N N))) N)) (* (* N (* N N)) (* N N)) (- (* (+ (* (/ (/ 0.5 N) N) (/ (/ 0.5 N) N)) (* (/ (/ 0.3333333333333333 N) (* N N)) (+ (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.5 N) N)))) 1.0) (* (- (* (* (/ (/ 0.5 N) N) (/ (/ 0.5 N) N)) (/ (/ 0.5 N) N)) (* (* (/ (/ (/ 0.3333333333333333 N) N) N) (/ (/ (/ 0.3333333333333333 N) N) N)) (/ (/ (/ 0.3333333333333333 N) N) N))) N)) (* (+ (* (/ (/ 0.5 N) N) (/ (/ 0.5 N) N)) (* (/ (/ 0.3333333333333333 N) (* N N)) (+ (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.5 N) N)))) N) (- (* 1.0 (+ (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N)))) (* (* (+ (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N))) (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N)))) N)) (* (+ (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N))) N) (- (* (/ 1.0 N) (* (/ 1.0 N) (/ 1.0 N))) (* (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N))) (* (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N))) (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N)))))) (+ (* (/ 1.0 N) (/ 1.0 N)) (* (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N))) (+ (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N))) (/ 1.0 N)))) (- (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N)))) (- (* (/ 1.0 N) (/ 1.0 N)) (* (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N))) (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N))))) (+ (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N))) (/ 1.0 N)) (+ (sqrt (/ 1.0 N)) (sqrt (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N))))) (- (sqrt (/ 1.0 N)) (sqrt (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N))))) (+ (/ (sqrt 1.0) (sqrt N)) (sqrt (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N))))) (- (/ (sqrt 1.0) (sqrt N)) (sqrt (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N))))) (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N)))) (- (/ 1.0 N) (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N)))) (- (/ 1.0 N) (/ (/ 0.5 N) N)) (- (/ 1.0 N) (/ (/ 0.5 N) N)) (- (/ 1.0 N) (/ (/ 0.5 N) N)) (- (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N)))) (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N))) (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N))) (- (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N))) (/ (/ 0.5 N) N) (/ (/ 0.5 N) N) (/ (/ 0.5 N) N) (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N)) (+ (/ 1.0 N) (- (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.5 N) N))) (+ (/ 1.0 N) (- (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.5 N) N))) (+ (/ 1.0 N) (- (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.5 N) N))) 4.919 * * * [progress]: adding candidates to table 5.423 * * [progress]: iteration 3 / 4 5.423 * * * [progress]: picking best candidate 5.438 * * * * [pick]: Picked # 5.438 * * * [progress]: localizing error 5.459 * * * [progress]: generating rewritten candidates 5.459 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 5.557 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 5.566 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1) 5.572 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 5.598 * * * [progress]: generating series expansions 5.599 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 5.599 * [backup-simplify]: Simplify (- (log (exp (/ 0.5 (* N N)))) (/ (/ 0.3333333333333333 N) (* N N))) into (- (* 0.5 (/ 1 (pow N 2))) (* 0.3333333333333333 (/ 1 (pow N 3)))) 5.599 * [approximate]: Taking taylor expansion of (- (* 0.5 (/ 1 (pow N 2))) (* 0.3333333333333333 (/ 1 (pow N 3)))) in (N) around 0 5.599 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 (pow N 2))) (* 0.3333333333333333 (/ 1 (pow N 3)))) in N 5.599 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 5.599 * [taylor]: Taking taylor expansion of 0.5 in N 5.599 * [backup-simplify]: Simplify 0.5 into 0.5 5.599 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 5.599 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.599 * [taylor]: Taking taylor expansion of N in N 5.599 * [backup-simplify]: Simplify 0 into 0 5.599 * [backup-simplify]: Simplify 1 into 1 5.600 * [backup-simplify]: Simplify (* 1 1) into 1 5.601 * [backup-simplify]: Simplify (/ 1 1) into 1 5.601 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 5.601 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 5.601 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 5.601 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 5.601 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.601 * [taylor]: Taking taylor expansion of N in N 5.601 * [backup-simplify]: Simplify 0 into 0 5.601 * [backup-simplify]: Simplify 1 into 1 5.601 * [backup-simplify]: Simplify (* 1 1) into 1 5.602 * [backup-simplify]: Simplify (* 1 1) into 1 5.602 * [backup-simplify]: Simplify (/ 1 1) into 1 5.602 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 (pow N 2))) (* 0.3333333333333333 (/ 1 (pow N 3)))) in N 5.602 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 5.602 * [taylor]: Taking taylor expansion of 0.5 in N 5.602 * [backup-simplify]: Simplify 0.5 into 0.5 5.602 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 5.602 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.602 * [taylor]: Taking taylor expansion of N in N 5.602 * [backup-simplify]: Simplify 0 into 0 5.602 * [backup-simplify]: Simplify 1 into 1 5.603 * [backup-simplify]: Simplify (* 1 1) into 1 5.603 * [backup-simplify]: Simplify (/ 1 1) into 1 5.603 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 5.603 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 5.603 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 5.603 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 5.603 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.603 * [taylor]: Taking taylor expansion of N in N 5.603 * [backup-simplify]: Simplify 0 into 0 5.603 * [backup-simplify]: Simplify 1 into 1 5.604 * [backup-simplify]: Simplify (* 1 1) into 1 5.604 * [backup-simplify]: Simplify (* 1 1) into 1 5.605 * [backup-simplify]: Simplify (/ 1 1) into 1 5.605 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 5.606 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 5.606 * [backup-simplify]: Simplify (+ 0 (- 0.3333333333333333)) into (- 0.3333333333333333) 5.607 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 5.607 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 5.608 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.609 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.610 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 5.611 * [backup-simplify]: Simplify (- 0) into 0 5.611 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 5.611 * [backup-simplify]: Simplify 0.5 into 0.5 5.612 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.613 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.613 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 5.614 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.615 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.617 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 5.617 * [backup-simplify]: Simplify (- 0) into 0 5.618 * [backup-simplify]: Simplify (+ 0 0) into 0 5.618 * [backup-simplify]: Simplify 0 into 0 5.619 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.619 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.620 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 5.621 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.622 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.623 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.624 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.625 * [backup-simplify]: Simplify (- 0) into 0 5.625 * [backup-simplify]: Simplify (+ 0 0) into 0 5.625 * [backup-simplify]: Simplify 0 into 0 5.626 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.628 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.630 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.631 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.633 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.633 * [backup-simplify]: Simplify (- 0) into 0 5.634 * [backup-simplify]: Simplify (+ 0 0) into 0 5.634 * [backup-simplify]: Simplify 0 into 0 5.635 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.637 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.638 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.640 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.642 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.642 * [backup-simplify]: Simplify (- 0) into 0 5.643 * [backup-simplify]: Simplify (+ 0 0) into 0 5.643 * [backup-simplify]: Simplify 0 into 0 5.644 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.647 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.648 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.650 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.652 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.653 * [backup-simplify]: Simplify (- 0) into 0 5.653 * [backup-simplify]: Simplify (+ 0 0) into 0 5.653 * [backup-simplify]: Simplify 0 into 0 5.655 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.657 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.659 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 5.661 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 5.662 * [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 5.663 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 5.664 * [backup-simplify]: Simplify (- 0) into 0 5.664 * [backup-simplify]: Simplify (+ 0 0) into 0 5.664 * [backup-simplify]: Simplify 0 into 0 5.665 * [backup-simplify]: Simplify (+ (* 0.5 (pow (/ 1 N) 2)) (* (- 0.3333333333333333) (pow (/ 1 N) 3))) into (- (* 0.5 (/ 1 (pow N 2))) (* 0.3333333333333333 (/ 1 (pow N 3)))) 5.665 * [backup-simplify]: Simplify (- (log (exp (/ 0.5 (* (/ 1 N) (/ 1 N))))) (/ (/ 0.3333333333333333 (/ 1 N)) (* (/ 1 N) (/ 1 N)))) into (- (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3))) 5.665 * [approximate]: Taking taylor expansion of (- (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3))) in (N) around 0 5.665 * [taylor]: Taking taylor expansion of (- (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3))) in N 5.665 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 5.665 * [taylor]: Taking taylor expansion of 0.5 in N 5.665 * [backup-simplify]: Simplify 0.5 into 0.5 5.666 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.666 * [taylor]: Taking taylor expansion of N in N 5.666 * [backup-simplify]: Simplify 0 into 0 5.666 * [backup-simplify]: Simplify 1 into 1 5.666 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 5.666 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 5.666 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 5.666 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.666 * [taylor]: Taking taylor expansion of N in N 5.666 * [backup-simplify]: Simplify 0 into 0 5.666 * [backup-simplify]: Simplify 1 into 1 5.666 * [taylor]: Taking taylor expansion of (- (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3))) in N 5.666 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 5.666 * [taylor]: Taking taylor expansion of 0.5 in N 5.666 * [backup-simplify]: Simplify 0.5 into 0.5 5.666 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.666 * [taylor]: Taking taylor expansion of N in N 5.666 * [backup-simplify]: Simplify 0 into 0 5.666 * [backup-simplify]: Simplify 1 into 1 5.666 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 5.666 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 5.666 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 5.666 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.666 * [taylor]: Taking taylor expansion of N in N 5.666 * [backup-simplify]: Simplify 0 into 0 5.666 * [backup-simplify]: Simplify 1 into 1 5.667 * [backup-simplify]: Simplify (* 1 1) into 1 5.667 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 5.668 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 5.668 * [backup-simplify]: Simplify 0.5 into 0.5 5.668 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.669 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 5.669 * [backup-simplify]: Simplify (* 1 1) into 1 5.670 * [backup-simplify]: Simplify (* 1 1) into 1 5.670 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 5.671 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 5.672 * [backup-simplify]: Simplify (+ 0 (- 0.3333333333333333)) into (- 0.3333333333333333) 5.672 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 5.673 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.674 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 5.675 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.675 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.676 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 5.676 * [backup-simplify]: Simplify (- 0) into 0 5.677 * [backup-simplify]: Simplify (+ 0 0) into 0 5.677 * [backup-simplify]: Simplify 0 into 0 5.678 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.679 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.684 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.685 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.686 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 5.687 * [backup-simplify]: Simplify (- 0) into 0 5.687 * [backup-simplify]: Simplify (+ 0 0) into 0 5.687 * [backup-simplify]: Simplify 0 into 0 5.688 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.690 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.691 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.692 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.693 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.693 * [backup-simplify]: Simplify (- 0) into 0 5.694 * [backup-simplify]: Simplify (+ 0 0) into 0 5.694 * [backup-simplify]: Simplify 0 into 0 5.695 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.696 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.696 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.697 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.698 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.698 * [backup-simplify]: Simplify (- 0) into 0 5.698 * [backup-simplify]: Simplify (+ 0 0) into 0 5.698 * [backup-simplify]: Simplify 0 into 0 5.699 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.700 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.701 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.701 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.702 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.702 * [backup-simplify]: Simplify (- 0) into 0 5.703 * [backup-simplify]: Simplify (+ 0 0) into 0 5.703 * [backup-simplify]: Simplify 0 into 0 5.704 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 5.705 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 5.705 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.706 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.707 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.707 * [backup-simplify]: Simplify (- 0) into 0 5.708 * [backup-simplify]: Simplify (+ 0 0) into 0 5.708 * [backup-simplify]: Simplify 0 into 0 5.708 * [backup-simplify]: Simplify (+ (* (- 0.3333333333333333) (pow (/ 1 N) 3)) (* 0.5 (pow (/ 1 N) 2))) into (- (* 0.5 (/ 1 (pow N 2))) (* 0.3333333333333333 (/ 1 (pow N 3)))) 5.708 * [backup-simplify]: Simplify (- (log (exp (/ 0.5 (* (/ 1 (- N)) (/ 1 (- N)))))) (/ (/ 0.3333333333333333 (/ 1 (- N))) (* (/ 1 (- N)) (/ 1 (- N))))) into (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) 5.708 * [approximate]: Taking taylor expansion of (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) in (N) around 0 5.708 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) in N 5.709 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 5.709 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 5.709 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 5.709 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.709 * [taylor]: Taking taylor expansion of N in N 5.709 * [backup-simplify]: Simplify 0 into 0 5.709 * [backup-simplify]: Simplify 1 into 1 5.709 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 5.709 * [taylor]: Taking taylor expansion of 0.5 in N 5.709 * [backup-simplify]: Simplify 0.5 into 0.5 5.709 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.709 * [taylor]: Taking taylor expansion of N in N 5.709 * [backup-simplify]: Simplify 0 into 0 5.709 * [backup-simplify]: Simplify 1 into 1 5.709 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) in N 5.709 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 5.709 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 5.709 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 5.709 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.709 * [taylor]: Taking taylor expansion of N in N 5.709 * [backup-simplify]: Simplify 0 into 0 5.709 * [backup-simplify]: Simplify 1 into 1 5.709 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 5.709 * [taylor]: Taking taylor expansion of 0.5 in N 5.709 * [backup-simplify]: Simplify 0.5 into 0.5 5.709 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.709 * [taylor]: Taking taylor expansion of N in N 5.709 * [backup-simplify]: Simplify 0 into 0 5.709 * [backup-simplify]: Simplify 1 into 1 5.709 * [backup-simplify]: Simplify (* 1 1) into 1 5.710 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 5.710 * [backup-simplify]: Simplify (+ 0 0.5) into 0.5 5.710 * [backup-simplify]: Simplify 0.5 into 0.5 5.710 * [backup-simplify]: Simplify (* 1 1) into 1 5.710 * [backup-simplify]: Simplify (* 1 1) into 1 5.711 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 5.711 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.711 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 5.712 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 5.712 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 5.712 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.712 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.713 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 5.713 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.714 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 5.714 * [backup-simplify]: Simplify (+ 0 0) into 0 5.714 * [backup-simplify]: Simplify 0 into 0 5.715 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.715 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.716 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 5.716 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.717 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.717 * [backup-simplify]: Simplify (+ 0 0) into 0 5.717 * [backup-simplify]: Simplify 0 into 0 5.718 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.718 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.719 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.720 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.720 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.721 * [backup-simplify]: Simplify (+ 0 0) into 0 5.721 * [backup-simplify]: Simplify 0 into 0 5.721 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.722 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.723 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.725 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.726 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.726 * [backup-simplify]: Simplify (+ 0 0) into 0 5.726 * [backup-simplify]: Simplify 0 into 0 5.728 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.729 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.730 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.732 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.733 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.734 * [backup-simplify]: Simplify (+ 0 0) into 0 5.734 * [backup-simplify]: Simplify 0 into 0 5.735 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.737 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.738 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.740 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 5.742 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 5.742 * [backup-simplify]: Simplify (+ 0 0) into 0 5.742 * [backup-simplify]: Simplify 0 into 0 5.743 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 (- N)) 3)) (* 0.5 (pow (/ 1 (- N)) 2))) into (- (* 0.5 (/ 1 (pow N 2))) (* 0.3333333333333333 (/ 1 (pow N 3)))) 5.743 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 5.743 * [backup-simplify]: Simplify (log (exp (/ 0.5 (* N N)))) into (/ 0.5 (pow N 2)) 5.743 * [approximate]: Taking taylor expansion of (/ 0.5 (pow N 2)) in (N) around 0 5.743 * [taylor]: Taking taylor expansion of (/ 0.5 (pow N 2)) in N 5.743 * [taylor]: Taking taylor expansion of 0.5 in N 5.743 * [backup-simplify]: Simplify 0.5 into 0.5 5.743 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.743 * [taylor]: Taking taylor expansion of N in N 5.743 * [backup-simplify]: Simplify 0 into 0 5.743 * [backup-simplify]: Simplify 1 into 1 5.744 * [backup-simplify]: Simplify (* 1 1) into 1 5.744 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 5.744 * [taylor]: Taking taylor expansion of (/ 0.5 (pow N 2)) in N 5.744 * [taylor]: Taking taylor expansion of 0.5 in N 5.744 * [backup-simplify]: Simplify 0.5 into 0.5 5.744 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.744 * [taylor]: Taking taylor expansion of N in N 5.744 * [backup-simplify]: Simplify 0 into 0 5.744 * [backup-simplify]: Simplify 1 into 1 5.745 * [backup-simplify]: Simplify (* 1 1) into 1 5.745 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 5.745 * [backup-simplify]: Simplify 0.5 into 0.5 5.746 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.747 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0 5.747 * [backup-simplify]: Simplify 0 into 0 5.748 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.749 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.749 * [backup-simplify]: Simplify 0 into 0 5.750 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.751 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.751 * [backup-simplify]: Simplify 0 into 0 5.752 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.754 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.754 * [backup-simplify]: Simplify 0 into 0 5.755 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.756 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.756 * [backup-simplify]: Simplify 0 into 0 5.758 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.759 * [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 5.759 * [backup-simplify]: Simplify 0 into 0 5.759 * [backup-simplify]: Simplify (* 0.5 (pow (/ 1 N) 2)) into (/ 0.5 (pow N 2)) 5.759 * [backup-simplify]: Simplify (log (exp (/ 0.5 (* (/ 1 N) (/ 1 N))))) into (* 0.5 (pow N 2)) 5.759 * [approximate]: Taking taylor expansion of (* 0.5 (pow N 2)) in (N) around 0 5.759 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 5.759 * [taylor]: Taking taylor expansion of 0.5 in N 5.759 * [backup-simplify]: Simplify 0.5 into 0.5 5.759 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.759 * [taylor]: Taking taylor expansion of N in N 5.759 * [backup-simplify]: Simplify 0 into 0 5.759 * [backup-simplify]: Simplify 1 into 1 5.759 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 5.759 * [taylor]: Taking taylor expansion of 0.5 in N 5.760 * [backup-simplify]: Simplify 0.5 into 0.5 5.760 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.760 * [taylor]: Taking taylor expansion of N in N 5.760 * [backup-simplify]: Simplify 0 into 0 5.760 * [backup-simplify]: Simplify 1 into 1 5.760 * [backup-simplify]: Simplify (* 1 1) into 1 5.760 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 5.760 * [backup-simplify]: Simplify 0.5 into 0.5 5.761 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.762 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 5.762 * [backup-simplify]: Simplify 0 into 0 5.763 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.764 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 5.764 * [backup-simplify]: Simplify 0 into 0 5.765 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.766 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.766 * [backup-simplify]: Simplify 0 into 0 5.767 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.768 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.768 * [backup-simplify]: Simplify 0 into 0 5.770 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.771 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.771 * [backup-simplify]: Simplify 0 into 0 5.773 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.774 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.774 * [backup-simplify]: Simplify 0 into 0 5.774 * [backup-simplify]: Simplify (* 0.5 (pow (/ 1 N) 2)) into (/ 0.5 (pow N 2)) 5.775 * [backup-simplify]: Simplify (log (exp (/ 0.5 (* (/ 1 (- N)) (/ 1 (- N)))))) into (* 0.5 (pow N 2)) 5.775 * [approximate]: Taking taylor expansion of (* 0.5 (pow N 2)) in (N) around 0 5.775 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 5.775 * [taylor]: Taking taylor expansion of 0.5 in N 5.775 * [backup-simplify]: Simplify 0.5 into 0.5 5.775 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.775 * [taylor]: Taking taylor expansion of N in N 5.775 * [backup-simplify]: Simplify 0 into 0 5.775 * [backup-simplify]: Simplify 1 into 1 5.775 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 5.775 * [taylor]: Taking taylor expansion of 0.5 in N 5.775 * [backup-simplify]: Simplify 0.5 into 0.5 5.775 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.775 * [taylor]: Taking taylor expansion of N in N 5.775 * [backup-simplify]: Simplify 0 into 0 5.775 * [backup-simplify]: Simplify 1 into 1 5.776 * [backup-simplify]: Simplify (* 1 1) into 1 5.776 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 5.776 * [backup-simplify]: Simplify 0.5 into 0.5 5.777 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.777 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 5.777 * [backup-simplify]: Simplify 0 into 0 5.778 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.779 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 5.779 * [backup-simplify]: Simplify 0 into 0 5.780 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.781 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.781 * [backup-simplify]: Simplify 0 into 0 5.783 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.784 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.784 * [backup-simplify]: Simplify 0 into 0 5.785 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.787 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.787 * [backup-simplify]: Simplify 0 into 0 5.788 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.790 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.790 * [backup-simplify]: Simplify 0 into 0 5.790 * [backup-simplify]: Simplify (* 0.5 (pow (/ 1 (- N)) 2)) into (/ 0.5 (pow N 2)) 5.790 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1) 5.790 * [backup-simplify]: Simplify (/ 0.5 (* N N)) into (/ 0.5 (pow N 2)) 5.790 * [approximate]: Taking taylor expansion of (/ 0.5 (pow N 2)) in (N) around 0 5.790 * [taylor]: Taking taylor expansion of (/ 0.5 (pow N 2)) in N 5.790 * [taylor]: Taking taylor expansion of 0.5 in N 5.790 * [backup-simplify]: Simplify 0.5 into 0.5 5.790 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.790 * [taylor]: Taking taylor expansion of N in N 5.790 * [backup-simplify]: Simplify 0 into 0 5.790 * [backup-simplify]: Simplify 1 into 1 5.791 * [backup-simplify]: Simplify (* 1 1) into 1 5.791 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 5.791 * [taylor]: Taking taylor expansion of (/ 0.5 (pow N 2)) in N 5.791 * [taylor]: Taking taylor expansion of 0.5 in N 5.791 * [backup-simplify]: Simplify 0.5 into 0.5 5.791 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.791 * [taylor]: Taking taylor expansion of N in N 5.791 * [backup-simplify]: Simplify 0 into 0 5.791 * [backup-simplify]: Simplify 1 into 1 5.792 * [backup-simplify]: Simplify (* 1 1) into 1 5.792 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5 5.792 * [backup-simplify]: Simplify 0.5 into 0.5 5.793 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.794 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0 5.794 * [backup-simplify]: Simplify 0 into 0 5.795 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.796 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.796 * [backup-simplify]: Simplify 0 into 0 5.797 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.798 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.798 * [backup-simplify]: Simplify 0 into 0 5.799 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.800 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.800 * [backup-simplify]: Simplify 0 into 0 5.801 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.802 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.802 * [backup-simplify]: Simplify 0 into 0 5.804 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.810 * [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 5.811 * [backup-simplify]: Simplify 0 into 0 5.811 * [backup-simplify]: Simplify (* 0.5 (pow (/ 1 N) 2)) into (/ 0.5 (pow N 2)) 5.811 * [backup-simplify]: Simplify (/ 0.5 (* (/ 1 N) (/ 1 N))) into (* 0.5 (pow N 2)) 5.811 * [approximate]: Taking taylor expansion of (* 0.5 (pow N 2)) in (N) around 0 5.811 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 5.811 * [taylor]: Taking taylor expansion of 0.5 in N 5.811 * [backup-simplify]: Simplify 0.5 into 0.5 5.811 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.811 * [taylor]: Taking taylor expansion of N in N 5.811 * [backup-simplify]: Simplify 0 into 0 5.811 * [backup-simplify]: Simplify 1 into 1 5.811 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 5.811 * [taylor]: Taking taylor expansion of 0.5 in N 5.811 * [backup-simplify]: Simplify 0.5 into 0.5 5.811 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.811 * [taylor]: Taking taylor expansion of N in N 5.812 * [backup-simplify]: Simplify 0 into 0 5.812 * [backup-simplify]: Simplify 1 into 1 5.812 * [backup-simplify]: Simplify (* 1 1) into 1 5.813 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 5.813 * [backup-simplify]: Simplify 0.5 into 0.5 5.814 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.814 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 5.814 * [backup-simplify]: Simplify 0 into 0 5.815 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.816 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 5.817 * [backup-simplify]: Simplify 0 into 0 5.818 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.819 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.819 * [backup-simplify]: Simplify 0 into 0 5.820 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.822 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.822 * [backup-simplify]: Simplify 0 into 0 5.823 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.825 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.825 * [backup-simplify]: Simplify 0 into 0 5.826 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.828 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.828 * [backup-simplify]: Simplify 0 into 0 5.828 * [backup-simplify]: Simplify (* 0.5 (pow (/ 1 N) 2)) into (/ 0.5 (pow N 2)) 5.829 * [backup-simplify]: Simplify (/ 0.5 (* (/ 1 (- N)) (/ 1 (- N)))) into (* 0.5 (pow N 2)) 5.829 * [approximate]: Taking taylor expansion of (* 0.5 (pow N 2)) in (N) around 0 5.829 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 5.829 * [taylor]: Taking taylor expansion of 0.5 in N 5.829 * [backup-simplify]: Simplify 0.5 into 0.5 5.829 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.829 * [taylor]: Taking taylor expansion of N in N 5.829 * [backup-simplify]: Simplify 0 into 0 5.829 * [backup-simplify]: Simplify 1 into 1 5.829 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 5.829 * [taylor]: Taking taylor expansion of 0.5 in N 5.829 * [backup-simplify]: Simplify 0.5 into 0.5 5.829 * [taylor]: Taking taylor expansion of (pow N 2) in N 5.829 * [taylor]: Taking taylor expansion of N in N 5.829 * [backup-simplify]: Simplify 0 into 0 5.829 * [backup-simplify]: Simplify 1 into 1 5.830 * [backup-simplify]: Simplify (* 1 1) into 1 5.830 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 5.830 * [backup-simplify]: Simplify 0.5 into 0.5 5.831 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.831 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 5.831 * [backup-simplify]: Simplify 0 into 0 5.832 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.833 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 5.833 * [backup-simplify]: Simplify 0 into 0 5.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.836 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.836 * [backup-simplify]: Simplify 0 into 0 5.837 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.838 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.838 * [backup-simplify]: Simplify 0 into 0 5.839 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.840 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.840 * [backup-simplify]: Simplify 0 into 0 5.841 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.842 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.842 * [backup-simplify]: Simplify 0 into 0 5.842 * [backup-simplify]: Simplify (* 0.5 (pow (/ 1 (- N)) 2)) into (/ 0.5 (pow N 2)) 5.842 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 5.842 * [backup-simplify]: Simplify (/ (/ 0.3333333333333333 N) (* N N)) into (/ 0.3333333333333333 (pow N 3)) 5.842 * [approximate]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in (N) around 0 5.842 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 5.842 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 5.842 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 5.842 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.842 * [taylor]: Taking taylor expansion of N in N 5.842 * [backup-simplify]: Simplify 0 into 0 5.842 * [backup-simplify]: Simplify 1 into 1 5.842 * [backup-simplify]: Simplify (* 1 1) into 1 5.843 * [backup-simplify]: Simplify (* 1 1) into 1 5.843 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 5.843 * [taylor]: Taking taylor expansion of (/ 0.3333333333333333 (pow N 3)) in N 5.843 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 5.843 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 5.843 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.843 * [taylor]: Taking taylor expansion of N in N 5.843 * [backup-simplify]: Simplify 0 into 0 5.843 * [backup-simplify]: Simplify 1 into 1 5.843 * [backup-simplify]: Simplify (* 1 1) into 1 5.844 * [backup-simplify]: Simplify (* 1 1) into 1 5.844 * [backup-simplify]: Simplify (/ 0.3333333333333333 1) into 0.3333333333333333 5.844 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 5.844 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.845 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.845 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)))) into 0 5.845 * [backup-simplify]: Simplify 0 into 0 5.846 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.846 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.847 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.847 * [backup-simplify]: Simplify 0 into 0 5.847 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.848 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.849 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.849 * [backup-simplify]: Simplify 0 into 0 5.849 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.850 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.851 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.851 * [backup-simplify]: Simplify 0 into 0 5.851 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.852 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.853 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.3333333333333333 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.853 * [backup-simplify]: Simplify 0 into 0 5.854 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.855 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.855 * [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 5.856 * [backup-simplify]: Simplify 0 into 0 5.856 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 3)) into (/ 0.3333333333333333 (pow N 3)) 5.856 * [backup-simplify]: Simplify (/ (/ 0.3333333333333333 (/ 1 N)) (* (/ 1 N) (/ 1 N))) into (* 0.3333333333333333 (pow N 3)) 5.856 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in (N) around 0 5.856 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 5.856 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 5.856 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 5.856 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.856 * [taylor]: Taking taylor expansion of N in N 5.856 * [backup-simplify]: Simplify 0 into 0 5.856 * [backup-simplify]: Simplify 1 into 1 5.856 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 5.856 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 5.856 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 5.856 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.856 * [taylor]: Taking taylor expansion of N in N 5.856 * [backup-simplify]: Simplify 0 into 0 5.856 * [backup-simplify]: Simplify 1 into 1 5.856 * [backup-simplify]: Simplify (* 1 1) into 1 5.857 * [backup-simplify]: Simplify (* 1 1) into 1 5.857 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 5.857 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 5.857 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.858 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.858 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 5.858 * [backup-simplify]: Simplify 0 into 0 5.859 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.859 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.860 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 5.860 * [backup-simplify]: Simplify 0 into 0 5.860 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.861 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.862 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.862 * [backup-simplify]: Simplify 0 into 0 5.862 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.863 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.864 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.864 * [backup-simplify]: Simplify 0 into 0 5.865 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.865 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.866 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.866 * [backup-simplify]: Simplify 0 into 0 5.867 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.868 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.869 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.869 * [backup-simplify]: Simplify 0 into 0 5.870 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow (/ 1 N) 3)) into (/ 0.3333333333333333 (pow N 3)) 5.870 * [backup-simplify]: Simplify (/ (/ 0.3333333333333333 (/ 1 (- N))) (* (/ 1 (- N)) (/ 1 (- N)))) into (* -0.3333333333333333 (pow N 3)) 5.870 * [approximate]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in (N) around 0 5.870 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 5.870 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 5.870 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 5.870 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.870 * [taylor]: Taking taylor expansion of N in N 5.870 * [backup-simplify]: Simplify 0 into 0 5.870 * [backup-simplify]: Simplify 1 into 1 5.870 * [taylor]: Taking taylor expansion of (* -0.3333333333333333 (pow N 3)) in N 5.870 * [taylor]: Taking taylor expansion of -0.3333333333333333 in N 5.870 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 5.870 * [taylor]: Taking taylor expansion of (pow N 3) in N 5.870 * [taylor]: Taking taylor expansion of N in N 5.870 * [backup-simplify]: Simplify 0 into 0 5.870 * [backup-simplify]: Simplify 1 into 1 5.870 * [backup-simplify]: Simplify (* 1 1) into 1 5.871 * [backup-simplify]: Simplify (* 1 1) into 1 5.871 * [backup-simplify]: Simplify (* -0.3333333333333333 1) into -0.3333333333333333 5.871 * [backup-simplify]: Simplify -0.3333333333333333 into -0.3333333333333333 5.871 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.872 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.872 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (* 0 1)) into 0 5.872 * [backup-simplify]: Simplify 0 into 0 5.873 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.873 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.874 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 5.874 * [backup-simplify]: Simplify 0 into 0 5.875 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.875 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.876 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.876 * [backup-simplify]: Simplify 0 into 0 5.876 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.877 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.878 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.878 * [backup-simplify]: Simplify 0 into 0 5.880 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.881 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.883 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.883 * [backup-simplify]: Simplify 0 into 0 5.884 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.886 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.887 * [backup-simplify]: Simplify (+ (* -0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.887 * [backup-simplify]: Simplify 0 into 0 5.888 * [backup-simplify]: Simplify (* -0.3333333333333333 (pow (/ 1 (- N)) 3)) into (/ 0.3333333333333333 (pow N 3)) 5.888 * * * [progress]: simplifying candidates 5.890 * [simplify]: Simplifying: (/ (exp (/ 0.5 (* N N))) (exp (/ (/ 0.3333333333333333 N) (* N N)))) (log (- (log (exp (/ 0.5 (* N N)))) (/ (/ 0.3333333333333333 N) (* N N)))) (exp (- (log (exp (/ 0.5 (* N N)))) (/ (/ 0.3333333333333333 N) (* N N)))) (* (cbrt (- (log (exp (/ 0.5 (* N N)))) (/ (/ 0.3333333333333333 N) (* N N)))) (cbrt (- (log (exp (/ 0.5 (* N N)))) (/ (/ 0.3333333333333333 N) (* N N))))) (cbrt (- (log (exp (/ 0.5 (* N N)))) (/ (/ 0.3333333333333333 N) (* N N)))) (* (* (- (log (exp (/ 0.5 (* N N)))) (/ (/ 0.3333333333333333 N) (* N N))) (- (log (exp (/ 0.5 (* N N)))) (/ (/ 0.3333333333333333 N) (* N N)))) (- (log (exp (/ 0.5 (* N N)))) (/ (/ 0.3333333333333333 N) (* N N)))) (sqrt (- (log (exp (/ 0.5 (* N N)))) (/ (/ 0.3333333333333333 N) (* N N)))) (sqrt (- (log (exp (/ 0.5 (* N N)))) (/ (/ 0.3333333333333333 N) (* N N)))) (- (pow (log (exp (/ 0.5 (* N N)))) 3) (pow (/ (/ 0.3333333333333333 N) (* N N)) 3)) (+ (* (log (exp (/ 0.5 (* N N)))) (log (exp (/ 0.5 (* N N))))) (+ (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (* (log (exp (/ 0.5 (* N N)))) (/ (/ 0.3333333333333333 N) (* N N))))) (- (/ (/ 0.3333333333333333 N) (* N N))) (- (* (log (exp (/ 0.5 (* N N)))) (log (exp (/ 0.5 (* N N))))) (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (+ (log (exp (/ 0.5 (* N N)))) (/ (/ 0.3333333333333333 N) (* N N))) (+ (sqrt (log (exp (/ 0.5 (* N N))))) (sqrt (/ (/ 0.3333333333333333 N) (* N N)))) (- (sqrt (log (exp (/ 0.5 (* N N))))) (sqrt (/ (/ 0.3333333333333333 N) (* N N)))) (+ (sqrt (log (exp (/ 0.5 (* N N))))) (/ (sqrt (/ 0.3333333333333333 N)) N)) (- (sqrt (log (exp (/ 0.5 (* N N))))) (/ (sqrt (/ 0.3333333333333333 N)) N)) (+ (sqrt (log (exp (/ 0.5 (* N N))))) (/ (/ (sqrt 0.3333333333333333) (sqrt N)) N)) (- (sqrt (log (exp (/ 0.5 (* N N))))) (/ (/ (sqrt 0.3333333333333333) (sqrt N)) N)) (- (log (exp (/ 0.5 (* N N)))) (/ (/ 0.3333333333333333 N) (* N N))) (- (log (exp (/ 0.5 (* N N)))) (/ (/ 0.3333333333333333 N) (* N N))) (- (log (cbrt (exp (/ 0.5 (* N N))))) (/ (/ 0.3333333333333333 N) (* N N))) (- (log (sqrt (exp (/ 0.5 (* N N))))) (/ (/ 0.3333333333333333 N) (* N N))) (- (log (exp (/ 0.5 (* N N)))) (/ (/ 0.3333333333333333 N) (* N N))) (- (/ (/ 0.3333333333333333 N) (* N N))) (log (* (cbrt (exp (/ 0.5 (* N N)))) (cbrt (exp (/ 0.5 (* N N)))))) (log (cbrt (exp (/ 0.5 (* N N))))) (log (sqrt (exp (/ 0.5 (* N N))))) (log (sqrt (exp (/ 0.5 (* N N))))) (log 1) (log (exp (/ 0.5 (* N N)))) (log (exp (/ 0.5 (* N N)))) (log (exp (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N)))))) (log (exp (sqrt (/ 0.5 (* N N))))) (log (exp (/ (* (cbrt 0.5) (cbrt 0.5)) N))) (log (exp (/ (sqrt 0.5) N))) (log (exp (/ 1 N))) (log (exp 1)) (log (exp 0.5)) (log (log (exp (/ 0.5 (* N N))))) (exp (log (exp (/ 0.5 (* N N))))) (* (cbrt (log (exp (/ 0.5 (* N N))))) (cbrt (log (exp (/ 0.5 (* N N)))))) (cbrt (log (exp (/ 0.5 (* N N))))) (* (* (log (exp (/ 0.5 (* N N)))) (log (exp (/ 0.5 (* N N))))) (log (exp (/ 0.5 (* N N))))) (sqrt (log (exp (/ 0.5 (* N N))))) (sqrt (log (exp (/ 0.5 (* N N))))) (- (log 0.5) (+ (log N) (log N))) (- (log 0.5) (log (* N N))) (log (/ 0.5 (* N N))) (exp (/ 0.5 (* N N))) (/ (* (* 0.5 0.5) 0.5) (* (* (* N N) N) (* (* N N) N))) (/ (* (* 0.5 0.5) 0.5) (* (* (* N N) (* N N)) (* N N))) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N)))) (cbrt (/ 0.5 (* N N))) (* (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N))) (- 0.5) (- (* N N)) (/ (* (cbrt 0.5) (cbrt 0.5)) N) (/ (cbrt 0.5) N) (/ (sqrt 0.5) N) (/ (sqrt 0.5) N) (/ 1 N) (/ 0.5 N) (/ 1 (* N N)) (/ (* N N) 0.5) (/ 0.5 N) (/ (* N N) (cbrt 0.5)) (/ (* N N) (sqrt 0.5)) (/ (* N N) 0.5) (- (- (log 0.3333333333333333) (log N)) (+ (log N) (log N))) (- (- (log 0.3333333333333333) (log N)) (log (* N N))) (- (log (/ 0.3333333333333333 N)) (+ (log N) (log N))) (- (log (/ 0.3333333333333333 N)) (log (* N N))) (log (/ (/ 0.3333333333333333 N) (* N N))) (exp (/ (/ 0.3333333333333333 N) (* N N))) (/ (/ (* (* 0.3333333333333333 0.3333333333333333) 0.3333333333333333) (* (* N N) N)) (* (* (* N N) N) (* (* N N) N))) (/ (/ (* (* 0.3333333333333333 0.3333333333333333) 0.3333333333333333) (* (* N N) N)) (* (* (* N N) (* N N)) (* N N))) (/ (* (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (/ 0.3333333333333333 N)) (* (* (* N N) N) (* (* N N) N))) (/ (* (* (/ 0.3333333333333333 N) (/ 0.3333333333333333 N)) (/ 0.3333333333333333 N)) (* (* (* N N) (* N N)) (* N N))) (* (cbrt (/ (/ 0.3333333333333333 N) (* N N))) (cbrt (/ (/ 0.3333333333333333 N) (* N N)))) (cbrt (/ (/ 0.3333333333333333 N) (* N N))) (* (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (/ (/ 0.3333333333333333 N) (* N N))) (sqrt (/ (/ 0.3333333333333333 N) (* N N))) (sqrt (/ (/ 0.3333333333333333 N) (* N N))) (- (/ 0.3333333333333333 N)) (- (* N N)) (/ (* (cbrt (/ 0.3333333333333333 N)) (cbrt (/ 0.3333333333333333 N))) N) (/ (cbrt (/ 0.3333333333333333 N)) N) (/ (sqrt (/ 0.3333333333333333 N)) N) (/ (sqrt (/ 0.3333333333333333 N)) N) (/ (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* (cbrt N) (cbrt N))) N) (/ (/ (cbrt 0.3333333333333333) (cbrt N)) N) (/ (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (sqrt N)) N) (/ (/ (cbrt 0.3333333333333333) (sqrt N)) N) (/ (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) 1) N) (/ (/ (cbrt 0.3333333333333333) N) N) (/ (/ (sqrt 0.3333333333333333) (* (cbrt N) (cbrt N))) N) (/ (/ (sqrt 0.3333333333333333) (cbrt N)) N) (/ (/ (sqrt 0.3333333333333333) (sqrt N)) N) (/ (/ (sqrt 0.3333333333333333) (sqrt N)) N) (/ (/ (sqrt 0.3333333333333333) 1) N) (/ (/ (sqrt 0.3333333333333333) N) N) (/ (/ 1 (* (cbrt N) (cbrt N))) N) (/ (/ 0.3333333333333333 (cbrt N)) N) (/ (/ 1 (sqrt N)) N) (/ (/ 0.3333333333333333 (sqrt N)) N) (/ (/ 1 1) N) (/ (/ 0.3333333333333333 N) N) (/ 1 N) (/ (/ 0.3333333333333333 N) N) (/ 0.3333333333333333 N) (/ (/ 1 N) N) (/ 1 (* N N)) (/ (* N N) (/ 0.3333333333333333 N)) (/ (/ 0.3333333333333333 N) N) (/ (* N N) (cbrt (/ 0.3333333333333333 N))) (/ (* N N) (sqrt (/ 0.3333333333333333 N))) (/ (* N N) (/ (cbrt 0.3333333333333333) (cbrt N))) (/ (* N N) (/ (cbrt 0.3333333333333333) (sqrt N))) (/ (* N N) (/ (cbrt 0.3333333333333333) N)) (/ (* N N) (/ (sqrt 0.3333333333333333) (cbrt N))) (/ (* N N) (/ (sqrt 0.3333333333333333) (sqrt N))) (/ (* N N) (/ (sqrt 0.3333333333333333) N)) (/ (* N N) (/ 0.3333333333333333 (cbrt N))) (/ (* N N) (/ 0.3333333333333333 (sqrt N))) (/ (* N N) (/ 0.3333333333333333 N)) (/ (* N N) (/ 0.3333333333333333 N)) (/ (* N N) (/ 1 N)) (* (* N N) N) (- (* 0.5 (/ 1 (pow N 2))) (* 0.3333333333333333 (/ 1 (pow N 3)))) (- (* 0.5 (/ 1 (pow N 2))) (* 0.3333333333333333 (/ 1 (pow N 3)))) (- (* 0.5 (/ 1 (pow N 2))) (* 0.3333333333333333 (/ 1 (pow N 3)))) (/ 0.5 (pow N 2)) (/ 0.5 (pow N 2)) (/ 0.5 (pow N 2)) (/ 0.5 (pow N 2)) (/ 0.5 (pow N 2)) (/ 0.5 (pow N 2)) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) (/ 0.3333333333333333 (pow N 3)) 5.894 * * [simplify]: iteration 0: 191 enodes 5.950 * * [simplify]: iteration 1: 460 enodes 6.352 * * [simplify]: iteration 2: 2694 enodes 7.220 * * [simplify]: iteration complete: 5002 enodes 7.221 * * [simplify]: Extracting #0: cost 85 inf + 0 7.222 * * [simplify]: Extracting #1: cost 805 inf + 44 7.228 * * [simplify]: Extracting #2: cost 2300 inf + 13874 7.271 * * [simplify]: Extracting #3: cost 894 inf + 197589 7.336 * * [simplify]: Extracting #4: cost 33 inf + 333076 7.420 * * [simplify]: Extracting #5: cost 0 inf + 339651 7.490 * * [simplify]: Extracting #6: cost 0 inf + 339611 7.578 * [simplify]: Simplified to: (exp (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (log (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (exp (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (* (cbrt (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (cbrt (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))))) (cbrt (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (* (* (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (sqrt (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (sqrt (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (- (* (/ 0.5 (* N N)) (* (/ 0.5 (* N N)) (/ 0.5 (* N N)))) (* (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (/ (/ 0.3333333333333333 N) (* N N)))) (+ (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (* (/ (/ 0.3333333333333333 N) (* N N)) (+ (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))))) (/ (- (/ 0.3333333333333333 (* N N))) N) (* (+ (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (+ (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (+ (sqrt (/ (/ 0.3333333333333333 N) (* N N))) (sqrt (/ 0.5 (* N N)))) (- (sqrt (/ 0.5 (* N N))) (sqrt (/ (/ 0.3333333333333333 N) (* N N)))) (+ (sqrt (/ 0.5 (* N N))) (/ (sqrt (/ 0.3333333333333333 N)) N)) (- (sqrt (/ 0.5 (* N N))) (/ (sqrt (/ 0.3333333333333333 N)) N)) (+ (sqrt (/ 0.5 (* N N))) (/ (/ (sqrt 0.3333333333333333) (sqrt N)) N)) (- (sqrt (/ 0.5 (* N N))) (/ (/ (sqrt 0.3333333333333333) (sqrt N)) N)) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (- (log (cbrt (exp (/ 0.5 (* N N))))) (/ (/ 0.3333333333333333 N) (* N N))) (- (log (sqrt (exp (/ 0.5 (* N N))))) (/ (/ 0.3333333333333333 N) (* N N))) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (/ (- (/ 0.3333333333333333 (* N N))) N) (log (* (cbrt (exp (/ 0.5 (* N N)))) (cbrt (exp (/ 0.5 (* N N)))))) (log (cbrt (exp (/ 0.5 (* N N))))) (log (sqrt (exp (/ 0.5 (* N N))))) (log (sqrt (exp (/ 0.5 (* N N))))) 0 (/ 0.5 (* N N)) (/ 0.5 (* N N)) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N)))) (sqrt (/ 0.5 (* N N))) (* (/ (cbrt 0.5) N) (cbrt 0.5)) (/ (sqrt 0.5) N) (/ 1 N) 1 0.5 (log (/ 0.5 (* N N))) (exp (/ 0.5 (* N N))) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N)))) (cbrt (/ 0.5 (* N N))) (* (/ 0.5 (* N N)) (* (/ 0.5 (* N N)) (/ 0.5 (* N N)))) (sqrt (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N))) (log (/ 0.5 (* N N))) (log (/ 0.5 (* N N))) (log (/ 0.5 (* N N))) (exp (/ 0.5 (* N N))) (* (/ 0.5 (* N N)) (* (/ 0.5 (* N N)) (/ 0.5 (* N N)))) (* (/ 0.5 (* N N)) (* (/ 0.5 (* N N)) (/ 0.5 (* N N)))) (* (cbrt (/ 0.5 (* N N))) (cbrt (/ 0.5 (* N N)))) (cbrt (/ 0.5 (* N N))) (* (/ 0.5 (* N N)) (* (/ 0.5 (* N N)) (/ 0.5 (* N N)))) (sqrt (/ 0.5 (* N N))) (sqrt (/ 0.5 (* N N))) (- 0.5) (- (* N N)) (* (/ (cbrt 0.5) N) (cbrt 0.5)) (/ (cbrt 0.5) N) (/ (sqrt 0.5) N) (/ (sqrt 0.5) N) (/ 1 N) (/ 0.5 N) (/ 1 (* N N)) (/ N (/ 0.5 N)) (/ 0.5 N) (/ N (/ (cbrt 0.5) N)) (/ N (/ (sqrt 0.5) N)) (/ N (/ 0.5 N)) (log (/ (/ 0.3333333333333333 N) (* N N))) (log (/ (/ 0.3333333333333333 N) (* N N))) (log (/ (/ 0.3333333333333333 N) (* N N))) (log (/ (/ 0.3333333333333333 N) (* N N))) (log (/ (/ 0.3333333333333333 N) (* N N))) (exp (/ (/ 0.3333333333333333 N) (* N N))) (* (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (/ (/ 0.3333333333333333 N) (* N N))) (* (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (/ (/ 0.3333333333333333 N) (* N N))) (* (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (/ (/ 0.3333333333333333 N) (* N N))) (* (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (/ (/ 0.3333333333333333 N) (* N N))) (* (cbrt (/ (/ 0.3333333333333333 N) (* N N))) (cbrt (/ (/ 0.3333333333333333 N) (* N N)))) (cbrt (/ (/ 0.3333333333333333 N) (* N N))) (* (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (/ (/ 0.3333333333333333 N) (* N N))) (sqrt (/ (/ 0.3333333333333333 N) (* N N))) (sqrt (/ (/ 0.3333333333333333 N) (* N N))) (/ (- 0.3333333333333333) N) (- (* N N)) (/ (cbrt (/ 0.3333333333333333 N)) (/ N (cbrt (/ 0.3333333333333333 N)))) (/ (cbrt (/ 0.3333333333333333 N)) N) (/ (sqrt (/ 0.3333333333333333 N)) N) (/ (sqrt (/ 0.3333333333333333 N)) N) (/ (* (/ (cbrt 0.3333333333333333) (cbrt N)) (/ (cbrt 0.3333333333333333) (cbrt N))) N) (/ (/ (cbrt 0.3333333333333333) N) (cbrt N)) (/ (* (cbrt 0.3333333333333333) (cbrt 0.3333333333333333)) (* N (sqrt N))) (/ (cbrt 0.3333333333333333) (* N (sqrt N))) (/ (cbrt 0.3333333333333333) (/ N (cbrt 0.3333333333333333))) (/ (cbrt 0.3333333333333333) (* N N)) (/ (/ (sqrt 0.3333333333333333) (* (cbrt N) (cbrt N))) N) (/ (sqrt 0.3333333333333333) (* N (cbrt N))) (/ (/ (sqrt 0.3333333333333333) (sqrt N)) N) (/ (/ (sqrt 0.3333333333333333) (sqrt N)) N) (/ (sqrt 0.3333333333333333) N) (/ (sqrt 0.3333333333333333) (* N N)) (/ (/ 1 N) (* (cbrt N) (cbrt N))) (/ 0.3333333333333333 (* N (cbrt N))) (/ 1 (* N (sqrt N))) (/ 0.3333333333333333 (* N (sqrt N))) (/ 1 N) (/ 0.3333333333333333 (* N N)) (/ 1 N) (/ 0.3333333333333333 (* N N)) (/ 0.3333333333333333 N) (/ 1 (* N N)) (/ 1 (* N N)) (/ N (/ 0.3333333333333333 (* N N))) (/ 0.3333333333333333 (* N N)) (* (/ N (cbrt (/ 0.3333333333333333 N))) N) (/ N (/ (sqrt (/ 0.3333333333333333 N)) N)) (/ N (/ (/ (cbrt 0.3333333333333333) N) (cbrt N))) (/ (* (* N N) (sqrt N)) (cbrt 0.3333333333333333)) (/ (* N N) (/ (cbrt 0.3333333333333333) N)) (* (cbrt N) (/ (* N N) (sqrt 0.3333333333333333))) (/ N (/ (/ (sqrt 0.3333333333333333) (sqrt N)) N)) (/ (* (* N N) N) (sqrt 0.3333333333333333)) (* (/ N 0.3333333333333333) (* N (cbrt N))) (* (/ N 0.3333333333333333) (* N (sqrt N))) (/ N (/ 0.3333333333333333 (* N N))) (/ N (/ 0.3333333333333333 (* N N))) (* N (* N N)) (* N (* N N)) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (/ 0.5 (* N N)) (/ 0.5 (* N N)) (/ 0.5 (* N N)) (/ 0.5 (* N N)) (/ 0.5 (* N N)) (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N)) 7.587 * * * [progress]: adding candidates to table 8.133 * * [progress]: iteration 4 / 4 8.133 * * * [progress]: picking best candidate 8.146 * * * * [pick]: Picked # 8.146 * * * [progress]: localizing error 8.233 * * * [progress]: generating rewritten candidates 8.233 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 8.322 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 8.417 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 8.542 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 8.576 * * * [progress]: generating series expansions 8.576 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 8.576 * [backup-simplify]: Simplify (cbrt (- (/ 1.0 N) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))))) into (pow (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) 1/3) 8.576 * [approximate]: Taking taylor expansion of (pow (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) 1/3) in (N) around 0 8.576 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) 1/3) in N 8.576 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2))))))) in N 8.577 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))))) in N 8.577 * [taylor]: Taking taylor expansion of 1/3 in N 8.577 * [backup-simplify]: Simplify 1/3 into 1/3 8.577 * [taylor]: Taking taylor expansion of (log (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2))))) in N 8.577 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) in N 8.577 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) in N 8.577 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 8.577 * [taylor]: Taking taylor expansion of 1.0 in N 8.577 * [backup-simplify]: Simplify 1.0 into 1.0 8.577 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.577 * [taylor]: Taking taylor expansion of N in N 8.577 * [backup-simplify]: Simplify 0 into 0 8.577 * [backup-simplify]: Simplify 1 into 1 8.577 * [backup-simplify]: Simplify (/ 1 1) into 1 8.577 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 8.577 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 8.577 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 8.577 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 8.577 * [taylor]: Taking taylor expansion of (pow N 3) in N 8.577 * [taylor]: Taking taylor expansion of N in N 8.577 * [backup-simplify]: Simplify 0 into 0 8.577 * [backup-simplify]: Simplify 1 into 1 8.578 * [backup-simplify]: Simplify (* 1 1) into 1 8.578 * [backup-simplify]: Simplify (* 1 1) into 1 8.578 * [backup-simplify]: Simplify (/ 1 1) into 1 8.578 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 8.578 * [taylor]: Taking taylor expansion of 0.5 in N 8.578 * [backup-simplify]: Simplify 0.5 into 0.5 8.578 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 8.578 * [taylor]: Taking taylor expansion of (pow N 2) in N 8.578 * [taylor]: Taking taylor expansion of N in N 8.578 * [backup-simplify]: Simplify 0 into 0 8.578 * [backup-simplify]: Simplify 1 into 1 8.579 * [backup-simplify]: Simplify (* 1 1) into 1 8.579 * [backup-simplify]: Simplify (/ 1 1) into 1 8.579 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 8.580 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 8.580 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 8.580 * [backup-simplify]: Simplify (log 0.3333333333333333) into (log 0.3333333333333333) 8.581 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 0.3333333333333333)) into (- (log 0.3333333333333333) (* 3 (log N))) 8.581 * [backup-simplify]: Simplify (* 1/3 (- (log 0.3333333333333333) (* 3 (log N)))) into (* 1/3 (- (log 0.3333333333333333) (* 3 (log N)))) 8.581 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) into (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) 8.581 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) 1/3) in N 8.581 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2))))))) in N 8.581 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))))) in N 8.581 * [taylor]: Taking taylor expansion of 1/3 in N 8.581 * [backup-simplify]: Simplify 1/3 into 1/3 8.581 * [taylor]: Taking taylor expansion of (log (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2))))) in N 8.581 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) in N 8.581 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) in N 8.581 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 8.581 * [taylor]: Taking taylor expansion of 1.0 in N 8.582 * [backup-simplify]: Simplify 1.0 into 1.0 8.582 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.582 * [taylor]: Taking taylor expansion of N in N 8.582 * [backup-simplify]: Simplify 0 into 0 8.582 * [backup-simplify]: Simplify 1 into 1 8.582 * [backup-simplify]: Simplify (/ 1 1) into 1 8.582 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 8.582 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 8.582 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 8.582 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 8.582 * [taylor]: Taking taylor expansion of (pow N 3) in N 8.582 * [taylor]: Taking taylor expansion of N in N 8.582 * [backup-simplify]: Simplify 0 into 0 8.582 * [backup-simplify]: Simplify 1 into 1 8.582 * [backup-simplify]: Simplify (* 1 1) into 1 8.582 * [backup-simplify]: Simplify (* 1 1) into 1 8.583 * [backup-simplify]: Simplify (/ 1 1) into 1 8.583 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 8.583 * [taylor]: Taking taylor expansion of 0.5 in N 8.583 * [backup-simplify]: Simplify 0.5 into 0.5 8.583 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 8.583 * [taylor]: Taking taylor expansion of (pow N 2) in N 8.583 * [taylor]: Taking taylor expansion of N in N 8.583 * [backup-simplify]: Simplify 0 into 0 8.583 * [backup-simplify]: Simplify 1 into 1 8.583 * [backup-simplify]: Simplify (* 1 1) into 1 8.583 * [backup-simplify]: Simplify (/ 1 1) into 1 8.584 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 8.584 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 8.584 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 8.584 * [backup-simplify]: Simplify (log 0.3333333333333333) into (log 0.3333333333333333) 8.585 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 0.3333333333333333)) into (- (log 0.3333333333333333) (* 3 (log N))) 8.585 * [backup-simplify]: Simplify (* 1/3 (- (log 0.3333333333333333) (* 3 (log N)))) into (* 1/3 (- (log 0.3333333333333333) (* 3 (log N)))) 8.586 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) into (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) 8.586 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) into (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) 8.586 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.587 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.588 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 8.588 * [backup-simplify]: Simplify (+ 0 0) into 0 8.588 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.589 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 8.589 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 8.594 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 0.5)) 1)) (pow 0.3333333333333333 1)))) 1) into -1.5 8.595 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 0.3333333333333333)) into (- (log 0.3333333333333333) (* 3 (log N))) 8.595 * [backup-simplify]: Simplify (+ (* 1/3 -1.5) (* 0 (- (log 0.3333333333333333) (* 3 (log N))))) into (- 0.5) 8.597 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) (+ (* (/ (pow (- 0.5) 1) 1)))) into (* -0.5 (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N)))))) 8.598 * [backup-simplify]: Simplify (* -0.5 (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N)))))) into (* -0.5 (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N)))))) 8.598 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 8.599 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.599 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.600 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 8.600 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.601 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.604 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.605 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 8.606 * [backup-simplify]: Simplify (- 0) into 0 8.606 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.624 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 0.5)) 2)) (pow 0.3333333333333333 2))) (* 1 (/ (* 1 (pow (* 2 1.0) 1)) (pow 0.3333333333333333 1)))) 2) into (* 1/2 (- 6.0 (* 0.25 (/ 1 (pow 0.3333333333333333 2))))) 8.625 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 0.3333333333333333)) into (- (log 0.3333333333333333) (* 3 (log N))) 8.632 * [backup-simplify]: Simplify (+ (* 1/3 (* 1/2 (- 6.0 (* 0.25 (/ 1 (pow 0.3333333333333333 2)))))) (+ (* 0 -1.5) (* 0 (- (log 0.3333333333333333) (* 3 (log N)))))) into (- 1.0 (* 0.041666666666666664 (/ 1 (pow 0.3333333333333333 2)))) 8.646 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) (+ (* (/ (pow (- 0.5) 2) 2)) (* (/ (pow (- 1.0 (* 0.041666666666666664 (/ 1 (pow 0.3333333333333333 2)))) 1) 1)))) into (* (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) (- 1.125 (* 0.041666666666666664 (/ 1 (pow 0.3333333333333333 2))))) 8.650 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) (- 1.125 (* 0.041666666666666664 (/ 1 (pow 0.3333333333333333 2))))) into (* (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) (- 1.125 (* 0.041666666666666664 (/ 1 (pow 0.3333333333333333 2))))) 8.655 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) (- 1.125 (* 0.041666666666666664 (/ 1 (pow 0.3333333333333333 2))))) (pow N 2)) (+ (* (* -0.5 (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N)))))) N) (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))))) into (- (+ (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) (* 1.125 (* (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) (pow N 2)))) (+ (* 0.5 (* (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) N)) (* 0.041666666666666664 (/ (* (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) (pow N 2)) (pow 0.3333333333333333 2))))) 8.656 * [backup-simplify]: Simplify (cbrt (- (/ 1.0 (/ 1 N)) (- (/ 0.5 (* (/ 1 N) (/ 1 N))) (/ (/ 0.3333333333333333 (/ 1 N)) (* (/ 1 N) (/ 1 N)))))) into (pow (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) 1/3) 8.656 * [approximate]: Taking taylor expansion of (pow (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) 1/3) in (N) around 0 8.656 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) 1/3) in N 8.656 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2)))))) in N 8.656 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))))) in N 8.656 * [taylor]: Taking taylor expansion of 1/3 in N 8.656 * [backup-simplify]: Simplify 1/3 into 1/3 8.656 * [taylor]: Taking taylor expansion of (log (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2)))) in N 8.656 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 8.656 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 8.656 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 8.656 * [taylor]: Taking taylor expansion of 1.0 in N 8.656 * [backup-simplify]: Simplify 1.0 into 1.0 8.656 * [taylor]: Taking taylor expansion of N in N 8.656 * [backup-simplify]: Simplify 0 into 0 8.656 * [backup-simplify]: Simplify 1 into 1 8.656 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 8.656 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 8.657 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 8.657 * [taylor]: Taking taylor expansion of (pow N 3) in N 8.657 * [taylor]: Taking taylor expansion of N in N 8.657 * [backup-simplify]: Simplify 0 into 0 8.657 * [backup-simplify]: Simplify 1 into 1 8.657 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 8.657 * [taylor]: Taking taylor expansion of 0.5 in N 8.657 * [backup-simplify]: Simplify 0.5 into 0.5 8.657 * [taylor]: Taking taylor expansion of (pow N 2) in N 8.657 * [taylor]: Taking taylor expansion of N in N 8.657 * [backup-simplify]: Simplify 0 into 0 8.657 * [backup-simplify]: Simplify 1 into 1 8.657 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.658 * [backup-simplify]: Simplify (+ 0 0) into 0 8.658 * [backup-simplify]: Simplify (+ 0 0) into 0 8.660 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 8.660 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.661 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.661 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 8.662 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 8.662 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 8.663 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 8.663 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) 1/3) in N 8.663 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2)))))) in N 8.663 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))))) in N 8.663 * [taylor]: Taking taylor expansion of 1/3 in N 8.663 * [backup-simplify]: Simplify 1/3 into 1/3 8.663 * [taylor]: Taking taylor expansion of (log (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2)))) in N 8.663 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 8.663 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 8.663 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 8.663 * [taylor]: Taking taylor expansion of 1.0 in N 8.663 * [backup-simplify]: Simplify 1.0 into 1.0 8.663 * [taylor]: Taking taylor expansion of N in N 8.663 * [backup-simplify]: Simplify 0 into 0 8.663 * [backup-simplify]: Simplify 1 into 1 8.663 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 8.663 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 8.663 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 8.663 * [taylor]: Taking taylor expansion of (pow N 3) in N 8.663 * [taylor]: Taking taylor expansion of N in N 8.663 * [backup-simplify]: Simplify 0 into 0 8.663 * [backup-simplify]: Simplify 1 into 1 8.663 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 8.663 * [taylor]: Taking taylor expansion of 0.5 in N 8.663 * [backup-simplify]: Simplify 0.5 into 0.5 8.663 * [taylor]: Taking taylor expansion of (pow N 2) in N 8.663 * [taylor]: Taking taylor expansion of N in N 8.663 * [backup-simplify]: Simplify 0 into 0 8.663 * [backup-simplify]: Simplify 1 into 1 8.664 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.664 * [backup-simplify]: Simplify (+ 0 0) into 0 8.665 * [backup-simplify]: Simplify (+ 0 0) into 0 8.666 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 8.667 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.667 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.667 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 8.668 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 8.669 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 8.669 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 8.670 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 8.671 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 8.671 * [backup-simplify]: Simplify (+ 0 0) into 0 8.671 * [backup-simplify]: Simplify (* 1 1) into 1 8.671 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.672 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 8.672 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 8.677 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 0.5)) 1)) (pow 1.0 1)))) 1) into -0.5 8.677 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 8.678 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (* 0 (+ (log 1.0) (log N)))) into (- 0.16666666666666666) 8.680 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.16666666666666666 (exp (* 1/3 (+ (log 1.0) (log N))))) 8.680 * [backup-simplify]: Simplify (* -0.16666666666666666 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* -0.16666666666666666 (exp (* 1/3 (+ (log 1.0) (log N))))) 8.681 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.681 * [backup-simplify]: Simplify (* 1 1) into 1 8.681 * [backup-simplify]: Simplify (* 1 1) into 1 8.682 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 8.682 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 8.682 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.683 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 8.683 * [backup-simplify]: Simplify (- 0) into 0 8.683 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 8.693 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 0.5)) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0.3333333333333333) 1)) (pow 1.0 1)))) 2) into (* 1/2 (- 0.6666666666666666 (* 0.25 (/ 1 (pow 1.0 2))))) 8.693 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 8.697 * [backup-simplify]: Simplify (+ (* 1/3 (* 1/2 (- 0.6666666666666666 (* 0.25 (/ 1 (pow 1.0 2)))))) (+ (* 0 -0.5) (* 0 (+ (log 1.0) (log N))))) into (- 0.1111111111111111 (* 0.041666666666666664 (/ 1 (pow 1.0 2)))) 8.710 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow (- 0.16666666666666666) 2) 2)) (* (/ (pow (- 0.1111111111111111 (* 0.041666666666666664 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.125 (* 0.041666666666666664 (/ 1 (pow 1.0 2))))) 8.715 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.125 (* 0.041666666666666664 (/ 1 (pow 1.0 2))))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.125 (* 0.041666666666666664 (/ 1 (pow 1.0 2))))) 8.720 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (+ (log 1.0) (log (/ 1 N))))) (- 0.125 (* 0.041666666666666664 (/ 1 (pow 1.0 2))))) (pow (/ 1 N) 2)) (+ (* (* -0.16666666666666666 (exp (* 1/3 (+ (log 1.0) (log (/ 1 N)))))) (/ 1 N)) (exp (* 1/3 (+ (log 1.0) (log (/ 1 N))))))) into (- (+ (exp (* 1/3 (+ (log (/ 1 N)) (log 1.0)))) (* 0.125 (/ (exp (* 1/3 (+ (log (/ 1 N)) (log 1.0)))) (pow N 2)))) (+ (* 0.041666666666666664 (/ (exp (* 1/3 (+ (log (/ 1 N)) (log 1.0)))) (* (pow 1.0 2) (pow N 2)))) (* 0.16666666666666666 (/ (exp (* 1/3 (+ (log (/ 1 N)) (log 1.0)))) N)))) 8.721 * [backup-simplify]: Simplify (cbrt (- (/ 1.0 (/ 1 (- N))) (- (/ 0.5 (* (/ 1 (- N)) (/ 1 (- N)))) (/ (/ 0.3333333333333333 (/ 1 (- N))) (* (/ 1 (- N)) (/ 1 (- N))))))) into (* (pow (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) 1/3) (cbrt -1)) 8.721 * [approximate]: Taking taylor expansion of (* (pow (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) 1/3) (cbrt -1)) in (N) around 0 8.721 * [taylor]: Taking taylor expansion of (* (pow (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) 1/3) (cbrt -1)) in N 8.721 * [taylor]: Taking taylor expansion of (pow (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) 1/3) in N 8.721 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))))) in N 8.721 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))))) in N 8.721 * [taylor]: Taking taylor expansion of 1/3 in N 8.721 * [backup-simplify]: Simplify 1/3 into 1/3 8.721 * [taylor]: Taking taylor expansion of (log (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 8.721 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 8.722 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 8.722 * [taylor]: Taking taylor expansion of 0.5 in N 8.722 * [backup-simplify]: Simplify 0.5 into 0.5 8.722 * [taylor]: Taking taylor expansion of (pow N 2) in N 8.722 * [taylor]: Taking taylor expansion of N in N 8.722 * [backup-simplify]: Simplify 0 into 0 8.722 * [backup-simplify]: Simplify 1 into 1 8.722 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 8.722 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 8.722 * [taylor]: Taking taylor expansion of 1.0 in N 8.722 * [backup-simplify]: Simplify 1.0 into 1.0 8.722 * [taylor]: Taking taylor expansion of N in N 8.722 * [backup-simplify]: Simplify 0 into 0 8.722 * [backup-simplify]: Simplify 1 into 1 8.722 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 8.722 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 8.722 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 8.722 * [taylor]: Taking taylor expansion of (pow N 3) in N 8.722 * [taylor]: Taking taylor expansion of N in N 8.722 * [backup-simplify]: Simplify 0 into 0 8.722 * [backup-simplify]: Simplify 1 into 1 8.722 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.723 * [backup-simplify]: Simplify (+ 0 0) into 0 8.723 * [backup-simplify]: Simplify (+ 0 0) into 0 8.725 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 8.725 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.726 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.726 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 8.727 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 8.727 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 8.728 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 8.728 * [taylor]: Taking taylor expansion of (cbrt -1) in N 8.728 * [taylor]: Taking taylor expansion of -1 in N 8.728 * [backup-simplify]: Simplify -1 into -1 8.729 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.736 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 8.736 * [taylor]: Taking taylor expansion of (* (pow (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) 1/3) (cbrt -1)) in N 8.736 * [taylor]: Taking taylor expansion of (pow (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) 1/3) in N 8.736 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))))) in N 8.736 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))))) in N 8.736 * [taylor]: Taking taylor expansion of 1/3 in N 8.736 * [backup-simplify]: Simplify 1/3 into 1/3 8.736 * [taylor]: Taking taylor expansion of (log (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 8.736 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 8.736 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 8.736 * [taylor]: Taking taylor expansion of 0.5 in N 8.736 * [backup-simplify]: Simplify 0.5 into 0.5 8.736 * [taylor]: Taking taylor expansion of (pow N 2) in N 8.736 * [taylor]: Taking taylor expansion of N in N 8.736 * [backup-simplify]: Simplify 0 into 0 8.736 * [backup-simplify]: Simplify 1 into 1 8.736 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 8.736 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 8.737 * [taylor]: Taking taylor expansion of 1.0 in N 8.737 * [backup-simplify]: Simplify 1.0 into 1.0 8.737 * [taylor]: Taking taylor expansion of N in N 8.737 * [backup-simplify]: Simplify 0 into 0 8.737 * [backup-simplify]: Simplify 1 into 1 8.737 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 8.737 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 8.737 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 8.737 * [taylor]: Taking taylor expansion of (pow N 3) in N 8.737 * [taylor]: Taking taylor expansion of N in N 8.737 * [backup-simplify]: Simplify 0 into 0 8.737 * [backup-simplify]: Simplify 1 into 1 8.738 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.738 * [backup-simplify]: Simplify (+ 0 0) into 0 8.738 * [backup-simplify]: Simplify (+ 0 0) into 0 8.740 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 8.740 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.741 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.741 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 8.742 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 8.742 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 8.743 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 8.743 * [taylor]: Taking taylor expansion of (cbrt -1) in N 8.743 * [taylor]: Taking taylor expansion of -1 in N 8.743 * [backup-simplify]: Simplify -1 into -1 8.743 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.744 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 8.744 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (cbrt -1)) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (cbrt -1)) 8.745 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (cbrt -1)) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (cbrt -1)) 8.745 * [backup-simplify]: Simplify (* 1 1) into 1 8.745 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.746 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 8.746 * [backup-simplify]: Simplify (+ 0 0) into 0 8.747 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 8.750 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0.5) 1)) (pow 1.0 1)))) 1) into 0.5 8.751 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 8.752 * [backup-simplify]: Simplify (+ (* 1/3 0.5) (* 0 (+ (log 1.0) (log N)))) into 0.16666666666666666 8.753 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.16666666666666666 1) 1)))) into (* 0.16666666666666666 (exp (* 1/3 (+ (log 1.0) (log N))))) 8.754 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (+ (log 1.0) (log N)))) 0) (* (* 0.16666666666666666 (exp (* 1/3 (+ (log 1.0) (log N))))) (cbrt -1))) into (* 0.16666666666666666 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (cbrt -1))) 8.755 * [backup-simplify]: Simplify (* 0.16666666666666666 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (cbrt -1))) into (* 0.16666666666666666 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (cbrt -1))) 8.756 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 8.756 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.757 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 8.758 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.758 * [backup-simplify]: Simplify (* 1 1) into 1 8.758 * [backup-simplify]: Simplify (* 1 1) into 1 8.758 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 8.759 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 8.759 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 8.768 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0.5) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0.3333333333333333) 1)) (pow 1.0 1)))) 2) into (* 1/2 (- 0.6666666666666666 (* 0.25 (/ 1 (pow 1.0 2))))) 8.769 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 8.773 * [backup-simplify]: Simplify (+ (* 1/3 (* 1/2 (- 0.6666666666666666 (* 0.25 (/ 1 (pow 1.0 2)))))) (+ (* 0 0.5) (* 0 (+ (log 1.0) (log N))))) into (- 0.1111111111111111 (* 0.041666666666666664 (/ 1 (pow 1.0 2)))) 8.783 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.16666666666666666 2) 2)) (* (/ (pow (- 0.1111111111111111 (* 0.041666666666666664 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.125 (* 0.041666666666666664 (/ 1 (pow 1.0 2))))) 8.789 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (+ (log 1.0) (log N)))) 0) (+ (* (* 0.16666666666666666 (exp (* 1/3 (+ (log 1.0) (log N))))) 0) (* (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.125 (* 0.041666666666666664 (/ 1 (pow 1.0 2))))) (cbrt -1)))) into (- (* 0.125 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (cbrt -1))) (* 0.041666666666666664 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (cbrt -1)) (pow 1.0 2)))) 8.791 * [backup-simplify]: Simplify (- (* 0.125 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (cbrt -1))) (* 0.041666666666666664 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (cbrt -1)) (pow 1.0 2)))) into (- (* 0.125 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (cbrt -1))) (* 0.041666666666666664 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (cbrt -1)) (pow 1.0 2)))) 8.795 * [backup-simplify]: Simplify (+ (* (- (* 0.125 (* (exp (* 1/3 (+ (log 1.0) (log (/ 1 (- N)))))) (cbrt -1))) (* 0.041666666666666664 (/ (* (exp (* 1/3 (+ (log 1.0) (log (/ 1 (- N)))))) (cbrt -1)) (pow 1.0 2)))) (pow (/ 1 (- N)) 2)) (+ (* (* 0.16666666666666666 (* (exp (* 1/3 (+ (log 1.0) (log (/ 1 (- N)))))) (cbrt -1))) (/ 1 (- N))) (* (exp (* 1/3 (+ (log 1.0) (log (/ 1 (- N)))))) (cbrt -1)))) into (- (+ (* (exp (* 1/3 (+ (log 1.0) (log (/ -1 N))))) (cbrt -1)) (* 0.125 (/ (* (exp (* 1/3 (+ (log 1.0) (log (/ -1 N))))) (cbrt -1)) (pow N 2)))) (+ (* 0.041666666666666664 (/ (* (exp (* 1/3 (+ (log 1.0) (log (/ -1 N))))) (cbrt -1)) (* (pow N 2) (pow 1.0 2)))) (* 0.16666666666666666 (/ (* (exp (* 1/3 (+ (log 1.0) (log (/ -1 N))))) (cbrt -1)) N)))) 8.795 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 8.795 * [backup-simplify]: Simplify (cbrt (- (/ 1.0 N) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))))) into (pow (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) 1/3) 8.795 * [approximate]: Taking taylor expansion of (pow (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) 1/3) in (N) around 0 8.795 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) 1/3) in N 8.795 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2))))))) in N 8.795 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))))) in N 8.795 * [taylor]: Taking taylor expansion of 1/3 in N 8.795 * [backup-simplify]: Simplify 1/3 into 1/3 8.795 * [taylor]: Taking taylor expansion of (log (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2))))) in N 8.795 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) in N 8.795 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) in N 8.795 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 8.795 * [taylor]: Taking taylor expansion of 1.0 in N 8.795 * [backup-simplify]: Simplify 1.0 into 1.0 8.795 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.795 * [taylor]: Taking taylor expansion of N in N 8.795 * [backup-simplify]: Simplify 0 into 0 8.795 * [backup-simplify]: Simplify 1 into 1 8.796 * [backup-simplify]: Simplify (/ 1 1) into 1 8.796 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 8.796 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 8.796 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 8.796 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 8.796 * [taylor]: Taking taylor expansion of (pow N 3) in N 8.796 * [taylor]: Taking taylor expansion of N in N 8.796 * [backup-simplify]: Simplify 0 into 0 8.796 * [backup-simplify]: Simplify 1 into 1 8.796 * [backup-simplify]: Simplify (* 1 1) into 1 8.796 * [backup-simplify]: Simplify (* 1 1) into 1 8.797 * [backup-simplify]: Simplify (/ 1 1) into 1 8.797 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 8.797 * [taylor]: Taking taylor expansion of 0.5 in N 8.797 * [backup-simplify]: Simplify 0.5 into 0.5 8.797 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 8.797 * [taylor]: Taking taylor expansion of (pow N 2) in N 8.797 * [taylor]: Taking taylor expansion of N in N 8.797 * [backup-simplify]: Simplify 0 into 0 8.797 * [backup-simplify]: Simplify 1 into 1 8.797 * [backup-simplify]: Simplify (* 1 1) into 1 8.797 * [backup-simplify]: Simplify (/ 1 1) into 1 8.797 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 8.798 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 8.798 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 8.798 * [backup-simplify]: Simplify (log 0.3333333333333333) into (log 0.3333333333333333) 8.799 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 0.3333333333333333)) into (- (log 0.3333333333333333) (* 3 (log N))) 8.799 * [backup-simplify]: Simplify (* 1/3 (- (log 0.3333333333333333) (* 3 (log N)))) into (* 1/3 (- (log 0.3333333333333333) (* 3 (log N)))) 8.799 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) into (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) 8.799 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) 1/3) in N 8.800 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2))))))) in N 8.800 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))))) in N 8.800 * [taylor]: Taking taylor expansion of 1/3 in N 8.800 * [backup-simplify]: Simplify 1/3 into 1/3 8.800 * [taylor]: Taking taylor expansion of (log (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2))))) in N 8.800 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) in N 8.800 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) in N 8.800 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 8.800 * [taylor]: Taking taylor expansion of 1.0 in N 8.800 * [backup-simplify]: Simplify 1.0 into 1.0 8.800 * [taylor]: Taking taylor expansion of (/ 1 N) in N 8.800 * [taylor]: Taking taylor expansion of N in N 8.800 * [backup-simplify]: Simplify 0 into 0 8.800 * [backup-simplify]: Simplify 1 into 1 8.800 * [backup-simplify]: Simplify (/ 1 1) into 1 8.800 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 8.800 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 8.800 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 8.800 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 8.800 * [taylor]: Taking taylor expansion of (pow N 3) in N 8.800 * [taylor]: Taking taylor expansion of N in N 8.800 * [backup-simplify]: Simplify 0 into 0 8.800 * [backup-simplify]: Simplify 1 into 1 8.800 * [backup-simplify]: Simplify (* 1 1) into 1 8.801 * [backup-simplify]: Simplify (* 1 1) into 1 8.801 * [backup-simplify]: Simplify (/ 1 1) into 1 8.801 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 8.801 * [taylor]: Taking taylor expansion of 0.5 in N 8.801 * [backup-simplify]: Simplify 0.5 into 0.5 8.801 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 8.801 * [taylor]: Taking taylor expansion of (pow N 2) in N 8.801 * [taylor]: Taking taylor expansion of N in N 8.801 * [backup-simplify]: Simplify 0 into 0 8.801 * [backup-simplify]: Simplify 1 into 1 8.801 * [backup-simplify]: Simplify (* 1 1) into 1 8.801 * [backup-simplify]: Simplify (/ 1 1) into 1 8.802 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 8.802 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 8.802 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 8.803 * [backup-simplify]: Simplify (log 0.3333333333333333) into (log 0.3333333333333333) 8.803 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 0.3333333333333333)) into (- (log 0.3333333333333333) (* 3 (log N))) 8.803 * [backup-simplify]: Simplify (* 1/3 (- (log 0.3333333333333333) (* 3 (log N)))) into (* 1/3 (- (log 0.3333333333333333) (* 3 (log N)))) 8.804 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) into (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) 8.804 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) into (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) 8.805 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.805 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.806 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 8.806 * [backup-simplify]: Simplify (+ 0 0) into 0 8.806 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.807 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 8.807 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 8.812 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 0.5)) 1)) (pow 0.3333333333333333 1)))) 1) into -1.5 8.813 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 0.3333333333333333)) into (- (log 0.3333333333333333) (* 3 (log N))) 8.813 * [backup-simplify]: Simplify (+ (* 1/3 -1.5) (* 0 (- (log 0.3333333333333333) (* 3 (log N))))) into (- 0.5) 8.815 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) (+ (* (/ (pow (- 0.5) 1) 1)))) into (* -0.5 (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N)))))) 8.816 * [backup-simplify]: Simplify (* -0.5 (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N)))))) into (* -0.5 (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N)))))) 8.816 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 8.817 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.817 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.818 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 8.819 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.819 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.820 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 8.820 * [backup-simplify]: Simplify (- 0) into 0 8.821 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.836 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 0.5)) 2)) (pow 0.3333333333333333 2))) (* 1 (/ (* 1 (pow (* 2 1.0) 1)) (pow 0.3333333333333333 1)))) 2) into (* 1/2 (- 6.0 (* 0.25 (/ 1 (pow 0.3333333333333333 2))))) 8.837 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 0.3333333333333333)) into (- (log 0.3333333333333333) (* 3 (log N))) 8.841 * [backup-simplify]: Simplify (+ (* 1/3 (* 1/2 (- 6.0 (* 0.25 (/ 1 (pow 0.3333333333333333 2)))))) (+ (* 0 -1.5) (* 0 (- (log 0.3333333333333333) (* 3 (log N)))))) into (- 1.0 (* 0.041666666666666664 (/ 1 (pow 0.3333333333333333 2)))) 8.848 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) (+ (* (/ (pow (- 0.5) 2) 2)) (* (/ (pow (- 1.0 (* 0.041666666666666664 (/ 1 (pow 0.3333333333333333 2)))) 1) 1)))) into (* (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) (- 1.125 (* 0.041666666666666664 (/ 1 (pow 0.3333333333333333 2))))) 8.850 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) (- 1.125 (* 0.041666666666666664 (/ 1 (pow 0.3333333333333333 2))))) into (* (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) (- 1.125 (* 0.041666666666666664 (/ 1 (pow 0.3333333333333333 2))))) 8.853 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) (- 1.125 (* 0.041666666666666664 (/ 1 (pow 0.3333333333333333 2))))) (pow N 2)) (+ (* (* -0.5 (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N)))))) N) (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))))) into (- (+ (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) (* 1.125 (* (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) (pow N 2)))) (+ (* 0.5 (* (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) N)) (* 0.041666666666666664 (/ (* (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) (pow N 2)) (pow 0.3333333333333333 2))))) 8.853 * [backup-simplify]: Simplify (cbrt (- (/ 1.0 (/ 1 N)) (- (/ 0.5 (* (/ 1 N) (/ 1 N))) (/ (/ 0.3333333333333333 (/ 1 N)) (* (/ 1 N) (/ 1 N)))))) into (pow (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) 1/3) 8.853 * [approximate]: Taking taylor expansion of (pow (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) 1/3) in (N) around 0 8.853 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) 1/3) in N 8.853 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2)))))) in N 8.853 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))))) in N 8.853 * [taylor]: Taking taylor expansion of 1/3 in N 8.853 * [backup-simplify]: Simplify 1/3 into 1/3 8.853 * [taylor]: Taking taylor expansion of (log (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2)))) in N 8.853 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 8.853 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 8.853 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 8.853 * [taylor]: Taking taylor expansion of 1.0 in N 8.853 * [backup-simplify]: Simplify 1.0 into 1.0 8.853 * [taylor]: Taking taylor expansion of N in N 8.853 * [backup-simplify]: Simplify 0 into 0 8.853 * [backup-simplify]: Simplify 1 into 1 8.853 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 8.853 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 8.853 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 8.853 * [taylor]: Taking taylor expansion of (pow N 3) in N 8.853 * [taylor]: Taking taylor expansion of N in N 8.853 * [backup-simplify]: Simplify 0 into 0 8.853 * [backup-simplify]: Simplify 1 into 1 8.853 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 8.854 * [taylor]: Taking taylor expansion of 0.5 in N 8.854 * [backup-simplify]: Simplify 0.5 into 0.5 8.854 * [taylor]: Taking taylor expansion of (pow N 2) in N 8.854 * [taylor]: Taking taylor expansion of N in N 8.854 * [backup-simplify]: Simplify 0 into 0 8.854 * [backup-simplify]: Simplify 1 into 1 8.854 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.854 * [backup-simplify]: Simplify (+ 0 0) into 0 8.854 * [backup-simplify]: Simplify (+ 0 0) into 0 8.856 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 8.857 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.857 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.857 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 8.858 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 8.859 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 8.859 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 8.859 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) 1/3) in N 8.859 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2)))))) in N 8.859 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))))) in N 8.860 * [taylor]: Taking taylor expansion of 1/3 in N 8.860 * [backup-simplify]: Simplify 1/3 into 1/3 8.860 * [taylor]: Taking taylor expansion of (log (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2)))) in N 8.860 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 8.860 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 8.860 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 8.860 * [taylor]: Taking taylor expansion of 1.0 in N 8.860 * [backup-simplify]: Simplify 1.0 into 1.0 8.860 * [taylor]: Taking taylor expansion of N in N 8.860 * [backup-simplify]: Simplify 0 into 0 8.860 * [backup-simplify]: Simplify 1 into 1 8.860 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 8.860 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 8.860 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 8.860 * [taylor]: Taking taylor expansion of (pow N 3) in N 8.860 * [taylor]: Taking taylor expansion of N in N 8.860 * [backup-simplify]: Simplify 0 into 0 8.860 * [backup-simplify]: Simplify 1 into 1 8.860 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 8.860 * [taylor]: Taking taylor expansion of 0.5 in N 8.860 * [backup-simplify]: Simplify 0.5 into 0.5 8.860 * [taylor]: Taking taylor expansion of (pow N 2) in N 8.860 * [taylor]: Taking taylor expansion of N in N 8.860 * [backup-simplify]: Simplify 0 into 0 8.860 * [backup-simplify]: Simplify 1 into 1 8.861 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.861 * [backup-simplify]: Simplify (+ 0 0) into 0 8.861 * [backup-simplify]: Simplify (+ 0 0) into 0 8.863 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 8.864 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.864 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.865 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 8.865 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 8.866 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 8.866 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 8.867 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 8.868 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 8.868 * [backup-simplify]: Simplify (+ 0 0) into 0 8.869 * [backup-simplify]: Simplify (* 1 1) into 1 8.869 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.870 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 8.870 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 8.879 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 0.5)) 1)) (pow 1.0 1)))) 1) into -0.5 8.880 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 8.880 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (* 0 (+ (log 1.0) (log N)))) into (- 0.16666666666666666) 8.884 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.16666666666666666 (exp (* 1/3 (+ (log 1.0) (log N))))) 8.885 * [backup-simplify]: Simplify (* -0.16666666666666666 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* -0.16666666666666666 (exp (* 1/3 (+ (log 1.0) (log N))))) 8.886 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.886 * [backup-simplify]: Simplify (* 1 1) into 1 8.886 * [backup-simplify]: Simplify (* 1 1) into 1 8.887 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 8.887 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 8.888 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.889 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 8.889 * [backup-simplify]: Simplify (- 0) into 0 8.889 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 8.906 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 0.5)) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0.3333333333333333) 1)) (pow 1.0 1)))) 2) into (* 1/2 (- 0.6666666666666666 (* 0.25 (/ 1 (pow 1.0 2))))) 8.906 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 8.913 * [backup-simplify]: Simplify (+ (* 1/3 (* 1/2 (- 0.6666666666666666 (* 0.25 (/ 1 (pow 1.0 2)))))) (+ (* 0 -0.5) (* 0 (+ (log 1.0) (log N))))) into (- 0.1111111111111111 (* 0.041666666666666664 (/ 1 (pow 1.0 2)))) 8.925 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow (- 0.16666666666666666) 2) 2)) (* (/ (pow (- 0.1111111111111111 (* 0.041666666666666664 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.125 (* 0.041666666666666664 (/ 1 (pow 1.0 2))))) 8.927 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.125 (* 0.041666666666666664 (/ 1 (pow 1.0 2))))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.125 (* 0.041666666666666664 (/ 1 (pow 1.0 2))))) 8.930 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (+ (log 1.0) (log (/ 1 N))))) (- 0.125 (* 0.041666666666666664 (/ 1 (pow 1.0 2))))) (pow (/ 1 N) 2)) (+ (* (* -0.16666666666666666 (exp (* 1/3 (+ (log 1.0) (log (/ 1 N)))))) (/ 1 N)) (exp (* 1/3 (+ (log 1.0) (log (/ 1 N))))))) into (- (+ (exp (* 1/3 (+ (log (/ 1 N)) (log 1.0)))) (* 0.125 (/ (exp (* 1/3 (+ (log (/ 1 N)) (log 1.0)))) (pow N 2)))) (+ (* 0.041666666666666664 (/ (exp (* 1/3 (+ (log (/ 1 N)) (log 1.0)))) (* (pow 1.0 2) (pow N 2)))) (* 0.16666666666666666 (/ (exp (* 1/3 (+ (log (/ 1 N)) (log 1.0)))) N)))) 8.930 * [backup-simplify]: Simplify (cbrt (- (/ 1.0 (/ 1 (- N))) (- (/ 0.5 (* (/ 1 (- N)) (/ 1 (- N)))) (/ (/ 0.3333333333333333 (/ 1 (- N))) (* (/ 1 (- N)) (/ 1 (- N))))))) into (* (pow (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) 1/3) (cbrt -1)) 8.930 * [approximate]: Taking taylor expansion of (* (pow (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) 1/3) (cbrt -1)) in (N) around 0 8.930 * [taylor]: Taking taylor expansion of (* (pow (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) 1/3) (cbrt -1)) in N 8.930 * [taylor]: Taking taylor expansion of (pow (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) 1/3) in N 8.930 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))))) in N 8.930 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))))) in N 8.930 * [taylor]: Taking taylor expansion of 1/3 in N 8.930 * [backup-simplify]: Simplify 1/3 into 1/3 8.930 * [taylor]: Taking taylor expansion of (log (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 8.930 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 8.930 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 8.930 * [taylor]: Taking taylor expansion of 0.5 in N 8.930 * [backup-simplify]: Simplify 0.5 into 0.5 8.930 * [taylor]: Taking taylor expansion of (pow N 2) in N 8.930 * [taylor]: Taking taylor expansion of N in N 8.930 * [backup-simplify]: Simplify 0 into 0 8.930 * [backup-simplify]: Simplify 1 into 1 8.930 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 8.930 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 8.930 * [taylor]: Taking taylor expansion of 1.0 in N 8.930 * [backup-simplify]: Simplify 1.0 into 1.0 8.930 * [taylor]: Taking taylor expansion of N in N 8.931 * [backup-simplify]: Simplify 0 into 0 8.931 * [backup-simplify]: Simplify 1 into 1 8.931 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 8.931 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 8.931 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 8.931 * [taylor]: Taking taylor expansion of (pow N 3) in N 8.931 * [taylor]: Taking taylor expansion of N in N 8.931 * [backup-simplify]: Simplify 0 into 0 8.931 * [backup-simplify]: Simplify 1 into 1 8.931 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.931 * [backup-simplify]: Simplify (+ 0 0) into 0 8.931 * [backup-simplify]: Simplify (+ 0 0) into 0 8.932 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 8.933 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.933 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.933 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 8.934 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 8.934 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 8.934 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 8.934 * [taylor]: Taking taylor expansion of (cbrt -1) in N 8.934 * [taylor]: Taking taylor expansion of -1 in N 8.934 * [backup-simplify]: Simplify -1 into -1 8.935 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.935 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 8.935 * [taylor]: Taking taylor expansion of (* (pow (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) 1/3) (cbrt -1)) in N 8.935 * [taylor]: Taking taylor expansion of (pow (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) 1/3) in N 8.935 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))))) in N 8.935 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))))) in N 8.935 * [taylor]: Taking taylor expansion of 1/3 in N 8.935 * [backup-simplify]: Simplify 1/3 into 1/3 8.935 * [taylor]: Taking taylor expansion of (log (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 8.935 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 8.935 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 8.935 * [taylor]: Taking taylor expansion of 0.5 in N 8.935 * [backup-simplify]: Simplify 0.5 into 0.5 8.935 * [taylor]: Taking taylor expansion of (pow N 2) in N 8.935 * [taylor]: Taking taylor expansion of N in N 8.935 * [backup-simplify]: Simplify 0 into 0 8.935 * [backup-simplify]: Simplify 1 into 1 8.935 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 8.935 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 8.935 * [taylor]: Taking taylor expansion of 1.0 in N 8.935 * [backup-simplify]: Simplify 1.0 into 1.0 8.935 * [taylor]: Taking taylor expansion of N in N 8.935 * [backup-simplify]: Simplify 0 into 0 8.935 * [backup-simplify]: Simplify 1 into 1 8.935 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 8.935 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 8.935 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 8.935 * [taylor]: Taking taylor expansion of (pow N 3) in N 8.935 * [taylor]: Taking taylor expansion of N in N 8.935 * [backup-simplify]: Simplify 0 into 0 8.935 * [backup-simplify]: Simplify 1 into 1 8.936 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.936 * [backup-simplify]: Simplify (+ 0 0) into 0 8.936 * [backup-simplify]: Simplify (+ 0 0) into 0 8.937 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 8.937 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.938 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 8.938 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 8.938 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 8.939 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 8.939 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 8.939 * [taylor]: Taking taylor expansion of (cbrt -1) in N 8.939 * [taylor]: Taking taylor expansion of -1 in N 8.939 * [backup-simplify]: Simplify -1 into -1 8.939 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 8.940 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 8.940 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (cbrt -1)) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (cbrt -1)) 8.941 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (cbrt -1)) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (cbrt -1)) 8.941 * [backup-simplify]: Simplify (* 1 1) into 1 8.942 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 8.942 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 8.942 * [backup-simplify]: Simplify (+ 0 0) into 0 8.943 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 8.951 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0.5) 1)) (pow 1.0 1)))) 1) into 0.5 8.952 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 8.952 * [backup-simplify]: Simplify (+ (* 1/3 0.5) (* 0 (+ (log 1.0) (log N)))) into 0.16666666666666666 8.954 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.16666666666666666 1) 1)))) into (* 0.16666666666666666 (exp (* 1/3 (+ (log 1.0) (log N))))) 8.955 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (+ (log 1.0) (log N)))) 0) (* (* 0.16666666666666666 (exp (* 1/3 (+ (log 1.0) (log N))))) (cbrt -1))) into (* 0.16666666666666666 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (cbrt -1))) 8.956 * [backup-simplify]: Simplify (* 0.16666666666666666 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (cbrt -1))) into (* 0.16666666666666666 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (cbrt -1))) 8.958 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 8.959 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.959 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 8.960 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.961 * [backup-simplify]: Simplify (* 1 1) into 1 8.961 * [backup-simplify]: Simplify (* 1 1) into 1 8.962 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 8.962 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 8.963 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 8.978 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0.5) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0.3333333333333333) 1)) (pow 1.0 1)))) 2) into (* 1/2 (- 0.6666666666666666 (* 0.25 (/ 1 (pow 1.0 2))))) 8.979 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 8.987 * [backup-simplify]: Simplify (+ (* 1/3 (* 1/2 (- 0.6666666666666666 (* 0.25 (/ 1 (pow 1.0 2)))))) (+ (* 0 0.5) (* 0 (+ (log 1.0) (log N))))) into (- 0.1111111111111111 (* 0.041666666666666664 (/ 1 (pow 1.0 2)))) 8.995 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.16666666666666666 2) 2)) (* (/ (pow (- 0.1111111111111111 (* 0.041666666666666664 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.125 (* 0.041666666666666664 (/ 1 (pow 1.0 2))))) 8.998 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (+ (log 1.0) (log N)))) 0) (+ (* (* 0.16666666666666666 (exp (* 1/3 (+ (log 1.0) (log N))))) 0) (* (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.125 (* 0.041666666666666664 (/ 1 (pow 1.0 2))))) (cbrt -1)))) into (- (* 0.125 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (cbrt -1))) (* 0.041666666666666664 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (cbrt -1)) (pow 1.0 2)))) 9.000 * [backup-simplify]: Simplify (- (* 0.125 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (cbrt -1))) (* 0.041666666666666664 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (cbrt -1)) (pow 1.0 2)))) into (- (* 0.125 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (cbrt -1))) (* 0.041666666666666664 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (cbrt -1)) (pow 1.0 2)))) 9.004 * [backup-simplify]: Simplify (+ (* (- (* 0.125 (* (exp (* 1/3 (+ (log 1.0) (log (/ 1 (- N)))))) (cbrt -1))) (* 0.041666666666666664 (/ (* (exp (* 1/3 (+ (log 1.0) (log (/ 1 (- N)))))) (cbrt -1)) (pow 1.0 2)))) (pow (/ 1 (- N)) 2)) (+ (* (* 0.16666666666666666 (* (exp (* 1/3 (+ (log 1.0) (log (/ 1 (- N)))))) (cbrt -1))) (/ 1 (- N))) (* (exp (* 1/3 (+ (log 1.0) (log (/ 1 (- N)))))) (cbrt -1)))) into (- (+ (* (exp (* 1/3 (+ (log 1.0) (log (/ -1 N))))) (cbrt -1)) (* 0.125 (/ (* (exp (* 1/3 (+ (log 1.0) (log (/ -1 N))))) (cbrt -1)) (pow N 2)))) (+ (* 0.041666666666666664 (/ (* (exp (* 1/3 (+ (log 1.0) (log (/ -1 N))))) (cbrt -1)) (* (pow N 2) (pow 1.0 2)))) (* 0.16666666666666666 (/ (* (exp (* 1/3 (+ (log 1.0) (log (/ -1 N))))) (cbrt -1)) N)))) 9.004 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 9.004 * [backup-simplify]: Simplify (cbrt (- (/ 1.0 N) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))))) into (pow (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) 1/3) 9.004 * [approximate]: Taking taylor expansion of (pow (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) 1/3) in (N) around 0 9.004 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) 1/3) in N 9.004 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2))))))) in N 9.004 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))))) in N 9.004 * [taylor]: Taking taylor expansion of 1/3 in N 9.004 * [backup-simplify]: Simplify 1/3 into 1/3 9.004 * [taylor]: Taking taylor expansion of (log (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2))))) in N 9.004 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) in N 9.004 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) in N 9.004 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 9.004 * [taylor]: Taking taylor expansion of 1.0 in N 9.004 * [backup-simplify]: Simplify 1.0 into 1.0 9.004 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.004 * [taylor]: Taking taylor expansion of N in N 9.004 * [backup-simplify]: Simplify 0 into 0 9.004 * [backup-simplify]: Simplify 1 into 1 9.005 * [backup-simplify]: Simplify (/ 1 1) into 1 9.005 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 9.005 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 9.005 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 9.005 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 9.005 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.005 * [taylor]: Taking taylor expansion of N in N 9.005 * [backup-simplify]: Simplify 0 into 0 9.005 * [backup-simplify]: Simplify 1 into 1 9.005 * [backup-simplify]: Simplify (* 1 1) into 1 9.005 * [backup-simplify]: Simplify (* 1 1) into 1 9.006 * [backup-simplify]: Simplify (/ 1 1) into 1 9.006 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 9.006 * [taylor]: Taking taylor expansion of 0.5 in N 9.006 * [backup-simplify]: Simplify 0.5 into 0.5 9.006 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 9.006 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.006 * [taylor]: Taking taylor expansion of N in N 9.006 * [backup-simplify]: Simplify 0 into 0 9.006 * [backup-simplify]: Simplify 1 into 1 9.006 * [backup-simplify]: Simplify (* 1 1) into 1 9.006 * [backup-simplify]: Simplify (/ 1 1) into 1 9.006 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 9.007 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 9.007 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 9.007 * [backup-simplify]: Simplify (log 0.3333333333333333) into (log 0.3333333333333333) 9.008 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 0.3333333333333333)) into (- (log 0.3333333333333333) (* 3 (log N))) 9.008 * [backup-simplify]: Simplify (* 1/3 (- (log 0.3333333333333333) (* 3 (log N)))) into (* 1/3 (- (log 0.3333333333333333) (* 3 (log N)))) 9.008 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) into (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) 9.008 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) 1/3) in N 9.008 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2))))))) in N 9.009 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))))) in N 9.009 * [taylor]: Taking taylor expansion of 1/3 in N 9.009 * [backup-simplify]: Simplify 1/3 into 1/3 9.009 * [taylor]: Taking taylor expansion of (log (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2))))) in N 9.009 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) (* 0.5 (/ 1 (pow N 2)))) in N 9.009 * [taylor]: Taking taylor expansion of (+ (* 1.0 (/ 1 N)) (* 0.3333333333333333 (/ 1 (pow N 3)))) in N 9.009 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 N)) in N 9.009 * [taylor]: Taking taylor expansion of 1.0 in N 9.009 * [backup-simplify]: Simplify 1.0 into 1.0 9.009 * [taylor]: Taking taylor expansion of (/ 1 N) in N 9.009 * [taylor]: Taking taylor expansion of N in N 9.009 * [backup-simplify]: Simplify 0 into 0 9.009 * [backup-simplify]: Simplify 1 into 1 9.009 * [backup-simplify]: Simplify (/ 1 1) into 1 9.009 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 9.009 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 9.009 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 9.009 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 9.009 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.009 * [taylor]: Taking taylor expansion of N in N 9.009 * [backup-simplify]: Simplify 0 into 0 9.009 * [backup-simplify]: Simplify 1 into 1 9.009 * [backup-simplify]: Simplify (* 1 1) into 1 9.010 * [backup-simplify]: Simplify (* 1 1) into 1 9.010 * [backup-simplify]: Simplify (/ 1 1) into 1 9.010 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 9.010 * [taylor]: Taking taylor expansion of 0.5 in N 9.010 * [backup-simplify]: Simplify 0.5 into 0.5 9.010 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 9.010 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.010 * [taylor]: Taking taylor expansion of N in N 9.010 * [backup-simplify]: Simplify 0 into 0 9.010 * [backup-simplify]: Simplify 1 into 1 9.010 * [backup-simplify]: Simplify (* 1 1) into 1 9.010 * [backup-simplify]: Simplify (/ 1 1) into 1 9.011 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 9.011 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 9.011 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 9.012 * [backup-simplify]: Simplify (log 0.3333333333333333) into (log 0.3333333333333333) 9.012 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 0.3333333333333333)) into (- (log 0.3333333333333333) (* 3 (log N))) 9.012 * [backup-simplify]: Simplify (* 1/3 (- (log 0.3333333333333333) (* 3 (log N)))) into (* 1/3 (- (log 0.3333333333333333) (* 3 (log N)))) 9.013 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) into (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) 9.013 * [backup-simplify]: Simplify (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) into (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) 9.014 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.014 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.015 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 9.015 * [backup-simplify]: Simplify (+ 0 0) into 0 9.015 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 9.016 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 9.016 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 9.023 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 0.5)) 1)) (pow 0.3333333333333333 1)))) 1) into -1.5 9.024 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 0.3333333333333333)) into (- (log 0.3333333333333333) (* 3 (log N))) 9.025 * [backup-simplify]: Simplify (+ (* 1/3 -1.5) (* 0 (- (log 0.3333333333333333) (* 3 (log N))))) into (- 0.5) 9.029 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) (+ (* (/ (pow (- 0.5) 1) 1)))) into (* -0.5 (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N)))))) 9.029 * [backup-simplify]: Simplify (* -0.5 (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N)))))) into (* -0.5 (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N)))))) 9.030 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 9.031 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.032 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.034 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 9.034 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.035 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.036 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 9.037 * [backup-simplify]: Simplify (- 0) into 0 9.037 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.055 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 0.5)) 2)) (pow 0.3333333333333333 2))) (* 1 (/ (* 1 (pow (* 2 1.0) 1)) (pow 0.3333333333333333 1)))) 2) into (* 1/2 (- 6.0 (* 0.25 (/ 1 (pow 0.3333333333333333 2))))) 9.056 * [backup-simplify]: Simplify (+ (* (- 3) (log N)) (log 0.3333333333333333)) into (- (log 0.3333333333333333) (* 3 (log N))) 9.061 * [backup-simplify]: Simplify (+ (* 1/3 (* 1/2 (- 6.0 (* 0.25 (/ 1 (pow 0.3333333333333333 2)))))) (+ (* 0 -1.5) (* 0 (- (log 0.3333333333333333) (* 3 (log N)))))) into (- 1.0 (* 0.041666666666666664 (/ 1 (pow 0.3333333333333333 2)))) 9.073 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) (+ (* (/ (pow (- 0.5) 2) 2)) (* (/ (pow (- 1.0 (* 0.041666666666666664 (/ 1 (pow 0.3333333333333333 2)))) 1) 1)))) into (* (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) (- 1.125 (* 0.041666666666666664 (/ 1 (pow 0.3333333333333333 2))))) 9.075 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) (- 1.125 (* 0.041666666666666664 (/ 1 (pow 0.3333333333333333 2))))) into (* (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) (- 1.125 (* 0.041666666666666664 (/ 1 (pow 0.3333333333333333 2))))) 9.078 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) (- 1.125 (* 0.041666666666666664 (/ 1 (pow 0.3333333333333333 2))))) (pow N 2)) (+ (* (* -0.5 (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N)))))) N) (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))))) into (- (+ (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) (* 1.125 (* (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) (pow N 2)))) (+ (* 0.5 (* (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) N)) (* 0.041666666666666664 (/ (* (exp (* 1/3 (- (log 0.3333333333333333) (* 3 (log N))))) (pow N 2)) (pow 0.3333333333333333 2))))) 9.078 * [backup-simplify]: Simplify (cbrt (- (/ 1.0 (/ 1 N)) (- (/ 0.5 (* (/ 1 N) (/ 1 N))) (/ (/ 0.3333333333333333 (/ 1 N)) (* (/ 1 N) (/ 1 N)))))) into (pow (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) 1/3) 9.078 * [approximate]: Taking taylor expansion of (pow (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) 1/3) in (N) around 0 9.078 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) 1/3) in N 9.078 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2)))))) in N 9.078 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))))) in N 9.078 * [taylor]: Taking taylor expansion of 1/3 in N 9.079 * [backup-simplify]: Simplify 1/3 into 1/3 9.079 * [taylor]: Taking taylor expansion of (log (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2)))) in N 9.079 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 9.079 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 9.079 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 9.079 * [taylor]: Taking taylor expansion of 1.0 in N 9.079 * [backup-simplify]: Simplify 1.0 into 1.0 9.079 * [taylor]: Taking taylor expansion of N in N 9.079 * [backup-simplify]: Simplify 0 into 0 9.079 * [backup-simplify]: Simplify 1 into 1 9.079 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 9.079 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 9.079 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 9.079 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.079 * [taylor]: Taking taylor expansion of N in N 9.079 * [backup-simplify]: Simplify 0 into 0 9.079 * [backup-simplify]: Simplify 1 into 1 9.079 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 9.079 * [taylor]: Taking taylor expansion of 0.5 in N 9.079 * [backup-simplify]: Simplify 0.5 into 0.5 9.079 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.079 * [taylor]: Taking taylor expansion of N in N 9.079 * [backup-simplify]: Simplify 0 into 0 9.079 * [backup-simplify]: Simplify 1 into 1 9.079 * [backup-simplify]: Simplify (* 1.0 0) into 0 9.079 * [backup-simplify]: Simplify (+ 0 0) into 0 9.080 * [backup-simplify]: Simplify (+ 0 0) into 0 9.081 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 9.081 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.081 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.081 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 9.082 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 9.082 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 9.082 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 9.082 * [taylor]: Taking taylor expansion of (pow (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) 1/3) in N 9.083 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2)))))) in N 9.083 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))))) in N 9.083 * [taylor]: Taking taylor expansion of 1/3 in N 9.083 * [backup-simplify]: Simplify 1/3 into 1/3 9.083 * [taylor]: Taking taylor expansion of (log (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2)))) in N 9.083 * [taylor]: Taking taylor expansion of (- (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) (* 0.5 (pow N 2))) in N 9.083 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 9.083 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 9.083 * [taylor]: Taking taylor expansion of 1.0 in N 9.083 * [backup-simplify]: Simplify 1.0 into 1.0 9.083 * [taylor]: Taking taylor expansion of N in N 9.083 * [backup-simplify]: Simplify 0 into 0 9.083 * [backup-simplify]: Simplify 1 into 1 9.083 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 9.083 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 9.083 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 9.083 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.083 * [taylor]: Taking taylor expansion of N in N 9.083 * [backup-simplify]: Simplify 0 into 0 9.083 * [backup-simplify]: Simplify 1 into 1 9.083 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 9.083 * [taylor]: Taking taylor expansion of 0.5 in N 9.083 * [backup-simplify]: Simplify 0.5 into 0.5 9.083 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.083 * [taylor]: Taking taylor expansion of N in N 9.083 * [backup-simplify]: Simplify 0 into 0 9.083 * [backup-simplify]: Simplify 1 into 1 9.083 * [backup-simplify]: Simplify (* 1.0 0) into 0 9.083 * [backup-simplify]: Simplify (+ 0 0) into 0 9.084 * [backup-simplify]: Simplify (+ 0 0) into 0 9.085 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 9.085 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.085 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.085 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 9.086 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 9.086 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 9.087 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 9.087 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 9.088 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 9.089 * [backup-simplify]: Simplify (+ 0 0) into 0 9.089 * [backup-simplify]: Simplify (* 1 1) into 1 9.090 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 9.090 * [backup-simplify]: Simplify (- 0.5) into (- 0.5) 9.091 * [backup-simplify]: Simplify (+ 0 (- 0.5)) into (- 0.5) 9.099 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 0.5)) 1)) (pow 1.0 1)))) 1) into -0.5 9.100 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 9.101 * [backup-simplify]: Simplify (+ (* 1/3 -0.5) (* 0 (+ (log 1.0) (log N)))) into (- 0.16666666666666666) 9.105 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow (- 0.16666666666666666) 1) 1)))) into (* -0.16666666666666666 (exp (* 1/3 (+ (log 1.0) (log N))))) 9.106 * [backup-simplify]: Simplify (* -0.16666666666666666 (exp (* 1/3 (+ (log 1.0) (log N))))) into (* -0.16666666666666666 (exp (* 1/3 (+ (log 1.0) (log N))))) 9.107 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 9.107 * [backup-simplify]: Simplify (* 1 1) into 1 9.108 * [backup-simplify]: Simplify (* 1 1) into 1 9.108 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 9.109 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 9.109 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.110 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 9.110 * [backup-simplify]: Simplify (- 0) into 0 9.111 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 9.129 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 0.5)) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0.3333333333333333) 1)) (pow 1.0 1)))) 2) into (* 1/2 (- 0.6666666666666666 (* 0.25 (/ 1 (pow 1.0 2))))) 9.130 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 9.137 * [backup-simplify]: Simplify (+ (* 1/3 (* 1/2 (- 0.6666666666666666 (* 0.25 (/ 1 (pow 1.0 2)))))) (+ (* 0 -0.5) (* 0 (+ (log 1.0) (log N))))) into (- 0.1111111111111111 (* 0.041666666666666664 (/ 1 (pow 1.0 2)))) 9.150 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow (- 0.16666666666666666) 2) 2)) (* (/ (pow (- 0.1111111111111111 (* 0.041666666666666664 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.125 (* 0.041666666666666664 (/ 1 (pow 1.0 2))))) 9.154 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.125 (* 0.041666666666666664 (/ 1 (pow 1.0 2))))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.125 (* 0.041666666666666664 (/ 1 (pow 1.0 2))))) 9.159 * [backup-simplify]: Simplify (+ (* (* (exp (* 1/3 (+ (log 1.0) (log (/ 1 N))))) (- 0.125 (* 0.041666666666666664 (/ 1 (pow 1.0 2))))) (pow (/ 1 N) 2)) (+ (* (* -0.16666666666666666 (exp (* 1/3 (+ (log 1.0) (log (/ 1 N)))))) (/ 1 N)) (exp (* 1/3 (+ (log 1.0) (log (/ 1 N))))))) into (- (+ (exp (* 1/3 (+ (log (/ 1 N)) (log 1.0)))) (* 0.125 (/ (exp (* 1/3 (+ (log (/ 1 N)) (log 1.0)))) (pow N 2)))) (+ (* 0.041666666666666664 (/ (exp (* 1/3 (+ (log (/ 1 N)) (log 1.0)))) (* (pow 1.0 2) (pow N 2)))) (* 0.16666666666666666 (/ (exp (* 1/3 (+ (log (/ 1 N)) (log 1.0)))) N)))) 9.160 * [backup-simplify]: Simplify (cbrt (- (/ 1.0 (/ 1 (- N))) (- (/ 0.5 (* (/ 1 (- N)) (/ 1 (- N)))) (/ (/ 0.3333333333333333 (/ 1 (- N))) (* (/ 1 (- N)) (/ 1 (- N))))))) into (* (pow (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) 1/3) (cbrt -1)) 9.160 * [approximate]: Taking taylor expansion of (* (pow (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) 1/3) (cbrt -1)) in (N) around 0 9.160 * [taylor]: Taking taylor expansion of (* (pow (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) 1/3) (cbrt -1)) in N 9.160 * [taylor]: Taking taylor expansion of (pow (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) 1/3) in N 9.160 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))))) in N 9.160 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))))) in N 9.160 * [taylor]: Taking taylor expansion of 1/3 in N 9.160 * [backup-simplify]: Simplify 1/3 into 1/3 9.160 * [taylor]: Taking taylor expansion of (log (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 9.160 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 9.160 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 9.160 * [taylor]: Taking taylor expansion of 0.5 in N 9.160 * [backup-simplify]: Simplify 0.5 into 0.5 9.161 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.161 * [taylor]: Taking taylor expansion of N in N 9.161 * [backup-simplify]: Simplify 0 into 0 9.161 * [backup-simplify]: Simplify 1 into 1 9.161 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 9.161 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 9.161 * [taylor]: Taking taylor expansion of 1.0 in N 9.161 * [backup-simplify]: Simplify 1.0 into 1.0 9.161 * [taylor]: Taking taylor expansion of N in N 9.161 * [backup-simplify]: Simplify 0 into 0 9.161 * [backup-simplify]: Simplify 1 into 1 9.161 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 9.161 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 9.161 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 9.161 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.161 * [taylor]: Taking taylor expansion of N in N 9.161 * [backup-simplify]: Simplify 0 into 0 9.161 * [backup-simplify]: Simplify 1 into 1 9.162 * [backup-simplify]: Simplify (* 1.0 0) into 0 9.162 * [backup-simplify]: Simplify (+ 0 0) into 0 9.162 * [backup-simplify]: Simplify (+ 0 0) into 0 9.164 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 9.165 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.165 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.166 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 9.166 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 9.167 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 9.167 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 9.167 * [taylor]: Taking taylor expansion of (cbrt -1) in N 9.167 * [taylor]: Taking taylor expansion of -1 in N 9.167 * [backup-simplify]: Simplify -1 into -1 9.168 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 9.169 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 9.169 * [taylor]: Taking taylor expansion of (* (pow (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) 1/3) (cbrt -1)) in N 9.169 * [taylor]: Taking taylor expansion of (pow (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) 1/3) in N 9.169 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))))) in N 9.169 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))))) in N 9.169 * [taylor]: Taking taylor expansion of 1/3 in N 9.169 * [backup-simplify]: Simplify 1/3 into 1/3 9.169 * [taylor]: Taking taylor expansion of (log (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))))) in N 9.169 * [taylor]: Taking taylor expansion of (+ (* 0.5 (pow N 2)) (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3)))) in N 9.169 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 9.169 * [taylor]: Taking taylor expansion of 0.5 in N 9.169 * [backup-simplify]: Simplify 0.5 into 0.5 9.169 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.169 * [taylor]: Taking taylor expansion of N in N 9.169 * [backup-simplify]: Simplify 0 into 0 9.169 * [backup-simplify]: Simplify 1 into 1 9.169 * [taylor]: Taking taylor expansion of (+ (* 1.0 N) (* 0.3333333333333333 (pow N 3))) in N 9.169 * [taylor]: Taking taylor expansion of (* 1.0 N) in N 9.169 * [taylor]: Taking taylor expansion of 1.0 in N 9.169 * [backup-simplify]: Simplify 1.0 into 1.0 9.169 * [taylor]: Taking taylor expansion of N in N 9.169 * [backup-simplify]: Simplify 0 into 0 9.169 * [backup-simplify]: Simplify 1 into 1 9.169 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 9.170 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 9.170 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 9.170 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.170 * [taylor]: Taking taylor expansion of N in N 9.170 * [backup-simplify]: Simplify 0 into 0 9.170 * [backup-simplify]: Simplify 1 into 1 9.170 * [backup-simplify]: Simplify (* 1.0 0) into 0 9.171 * [backup-simplify]: Simplify (+ 0 0) into 0 9.171 * [backup-simplify]: Simplify (+ 0 0) into 0 9.172 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 9.173 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 9.173 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0 9.174 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 9.175 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 9.175 * [backup-simplify]: Simplify (* 1/3 (+ (log 1.0) (log N))) into (* 1/3 (+ (log 1.0) (log N))) 9.176 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log 1.0) (log N)))) into (exp (* 1/3 (+ (log 1.0) (log N)))) 9.176 * [taylor]: Taking taylor expansion of (cbrt -1) in N 9.176 * [taylor]: Taking taylor expansion of -1 in N 9.176 * [backup-simplify]: Simplify -1 into -1 9.176 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1) 9.177 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0 9.178 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (cbrt -1)) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (cbrt -1)) 9.179 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (cbrt -1)) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (cbrt -1)) 9.179 * [backup-simplify]: Simplify (* 1 1) into 1 9.180 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 9.181 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 9.181 * [backup-simplify]: Simplify (+ 0 0) into 0 9.182 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 9.189 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0.5) 1)) (pow 1.0 1)))) 1) into 0.5 9.190 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 9.191 * [backup-simplify]: Simplify (+ (* 1/3 0.5) (* 0 (+ (log 1.0) (log N)))) into 0.16666666666666666 9.194 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.16666666666666666 1) 1)))) into (* 0.16666666666666666 (exp (* 1/3 (+ (log 1.0) (log N))))) 9.196 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (+ (log 1.0) (log N)))) 0) (* (* 0.16666666666666666 (exp (* 1/3 (+ (log 1.0) (log N))))) (cbrt -1))) into (* 0.16666666666666666 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (cbrt -1))) 9.197 * [backup-simplify]: Simplify (* 0.16666666666666666 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (cbrt -1))) into (* 0.16666666666666666 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (cbrt -1))) 9.198 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0 9.199 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.200 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 9.201 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 9.201 * [backup-simplify]: Simplify (* 1 1) into 1 9.202 * [backup-simplify]: Simplify (* 1 1) into 1 9.202 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 9.203 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 9.203 * [backup-simplify]: Simplify (+ 0 0.3333333333333333) into 0.3333333333333333 9.226 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0.5) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0.3333333333333333) 1)) (pow 1.0 1)))) 2) into (* 1/2 (- 0.6666666666666666 (* 0.25 (/ 1 (pow 1.0 2))))) 9.227 * [backup-simplify]: Simplify (+ (* (- -1) (log N)) (log 1.0)) into (+ (log 1.0) (log N)) 9.234 * [backup-simplify]: Simplify (+ (* 1/3 (* 1/2 (- 0.6666666666666666 (* 0.25 (/ 1 (pow 1.0 2)))))) (+ (* 0 0.5) (* 0 (+ (log 1.0) (log N))))) into (- 0.1111111111111111 (* 0.041666666666666664 (/ 1 (pow 1.0 2)))) 9.246 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log 1.0) (log N)))) (+ (* (/ (pow 0.16666666666666666 2) 2)) (* (/ (pow (- 0.1111111111111111 (* 0.041666666666666664 (/ 1 (pow 1.0 2)))) 1) 1)))) into (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.125 (* 0.041666666666666664 (/ 1 (pow 1.0 2))))) 9.252 * [backup-simplify]: Simplify (+ (* (exp (* 1/3 (+ (log 1.0) (log N)))) 0) (+ (* (* 0.16666666666666666 (exp (* 1/3 (+ (log 1.0) (log N))))) 0) (* (* (exp (* 1/3 (+ (log 1.0) (log N)))) (- 0.125 (* 0.041666666666666664 (/ 1 (pow 1.0 2))))) (cbrt -1)))) into (- (* 0.125 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (cbrt -1))) (* 0.041666666666666664 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (cbrt -1)) (pow 1.0 2)))) 9.254 * [backup-simplify]: Simplify (- (* 0.125 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (cbrt -1))) (* 0.041666666666666664 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (cbrt -1)) (pow 1.0 2)))) into (- (* 0.125 (* (exp (* 1/3 (+ (log 1.0) (log N)))) (cbrt -1))) (* 0.041666666666666664 (/ (* (exp (* 1/3 (+ (log 1.0) (log N)))) (cbrt -1)) (pow 1.0 2)))) 9.260 * [backup-simplify]: Simplify (+ (* (- (* 0.125 (* (exp (* 1/3 (+ (log 1.0) (log (/ 1 (- N)))))) (cbrt -1))) (* 0.041666666666666664 (/ (* (exp (* 1/3 (+ (log 1.0) (log (/ 1 (- N)))))) (cbrt -1)) (pow 1.0 2)))) (pow (/ 1 (- N)) 2)) (+ (* (* 0.16666666666666666 (* (exp (* 1/3 (+ (log 1.0) (log (/ 1 (- N)))))) (cbrt -1))) (/ 1 (- N))) (* (exp (* 1/3 (+ (log 1.0) (log (/ 1 (- N)))))) (cbrt -1)))) into (- (+ (* (exp (* 1/3 (+ (log 1.0) (log (/ -1 N))))) (cbrt -1)) (* 0.125 (/ (* (exp (* 1/3 (+ (log 1.0) (log (/ -1 N))))) (cbrt -1)) (pow N 2)))) (+ (* 0.041666666666666664 (/ (* (exp (* 1/3 (+ (log 1.0) (log (/ -1 N))))) (cbrt -1)) (* (pow N 2) (pow 1.0 2)))) (* 0.16666666666666666 (/ (* (exp (* 1/3 (+ (log 1.0) (log (/ -1 N))))) (cbrt -1)) N)))) 9.260 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 9.261 * [backup-simplify]: Simplify (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) into (- (* 0.5 (/ 1 (pow N 2))) (* 0.3333333333333333 (/ 1 (pow N 3)))) 9.261 * [approximate]: Taking taylor expansion of (- (* 0.5 (/ 1 (pow N 2))) (* 0.3333333333333333 (/ 1 (pow N 3)))) in (N) around 0 9.261 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 (pow N 2))) (* 0.3333333333333333 (/ 1 (pow N 3)))) in N 9.261 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 9.261 * [taylor]: Taking taylor expansion of 0.5 in N 9.261 * [backup-simplify]: Simplify 0.5 into 0.5 9.261 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 9.261 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.261 * [taylor]: Taking taylor expansion of N in N 9.261 * [backup-simplify]: Simplify 0 into 0 9.261 * [backup-simplify]: Simplify 1 into 1 9.261 * [backup-simplify]: Simplify (* 1 1) into 1 9.262 * [backup-simplify]: Simplify (/ 1 1) into 1 9.262 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 9.262 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 9.262 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 9.262 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 9.262 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.262 * [taylor]: Taking taylor expansion of N in N 9.262 * [backup-simplify]: Simplify 0 into 0 9.262 * [backup-simplify]: Simplify 1 into 1 9.262 * [backup-simplify]: Simplify (* 1 1) into 1 9.263 * [backup-simplify]: Simplify (* 1 1) into 1 9.263 * [backup-simplify]: Simplify (/ 1 1) into 1 9.263 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 (pow N 2))) (* 0.3333333333333333 (/ 1 (pow N 3)))) in N 9.263 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow N 2))) in N 9.263 * [taylor]: Taking taylor expansion of 0.5 in N 9.263 * [backup-simplify]: Simplify 0.5 into 0.5 9.263 * [taylor]: Taking taylor expansion of (/ 1 (pow N 2)) in N 9.263 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.263 * [taylor]: Taking taylor expansion of N in N 9.263 * [backup-simplify]: Simplify 0 into 0 9.263 * [backup-simplify]: Simplify 1 into 1 9.264 * [backup-simplify]: Simplify (* 1 1) into 1 9.264 * [backup-simplify]: Simplify (/ 1 1) into 1 9.264 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow N 3))) in N 9.264 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 9.264 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 9.264 * [taylor]: Taking taylor expansion of (/ 1 (pow N 3)) in N 9.264 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.264 * [taylor]: Taking taylor expansion of N in N 9.264 * [backup-simplify]: Simplify 0 into 0 9.264 * [backup-simplify]: Simplify 1 into 1 9.265 * [backup-simplify]: Simplify (* 1 1) into 1 9.265 * [backup-simplify]: Simplify (* 1 1) into 1 9.265 * [backup-simplify]: Simplify (/ 1 1) into 1 9.266 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 9.266 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 9.267 * [backup-simplify]: Simplify (+ 0 (- 0.3333333333333333)) into (- 0.3333333333333333) 9.268 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 9.268 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 9.269 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.269 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.271 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 9.271 * [backup-simplify]: Simplify (- 0) into 0 9.272 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 9.272 * [backup-simplify]: Simplify 0.5 into 0.5 9.273 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.274 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 9.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.277 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.279 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 9.279 * [backup-simplify]: Simplify (- 0) into 0 9.280 * [backup-simplify]: Simplify (+ 0 0) into 0 9.280 * [backup-simplify]: Simplify 0 into 0 9.281 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.282 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 9.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.285 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.285 * [backup-simplify]: Simplify (- 0) into 0 9.286 * [backup-simplify]: Simplify (+ 0 0) into 0 9.286 * [backup-simplify]: Simplify 0 into 0 9.286 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.288 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.288 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.291 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.291 * [backup-simplify]: Simplify (- 0) into 0 9.291 * [backup-simplify]: Simplify (+ 0 0) into 0 9.291 * [backup-simplify]: Simplify 0 into 0 9.292 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.293 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.294 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.295 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.296 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.297 * [backup-simplify]: Simplify (- 0) into 0 9.297 * [backup-simplify]: Simplify (+ 0 0) into 0 9.297 * [backup-simplify]: Simplify 0 into 0 9.298 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.299 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.301 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.302 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.304 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.304 * [backup-simplify]: Simplify (- 0) into 0 9.304 * [backup-simplify]: Simplify (+ 0 0) into 0 9.304 * [backup-simplify]: Simplify 0 into 0 9.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.307 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 9.309 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 9.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.310 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 9.310 * [backup-simplify]: Simplify (- 0) into 0 9.311 * [backup-simplify]: Simplify (+ 0 0) into 0 9.311 * [backup-simplify]: Simplify 0 into 0 9.311 * [backup-simplify]: Simplify (+ (* 0.5 (pow (/ 1 N) 2)) (* (- 0.3333333333333333) (pow (/ 1 N) 3))) into (- (* 0.5 (/ 1 (pow N 2))) (* 0.3333333333333333 (/ 1 (pow N 3)))) 9.311 * [backup-simplify]: Simplify (- (/ 0.5 (* (/ 1 N) (/ 1 N))) (/ (/ 0.3333333333333333 (/ 1 N)) (* (/ 1 N) (/ 1 N)))) into (- (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3))) 9.311 * [approximate]: Taking taylor expansion of (- (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3))) in (N) around 0 9.312 * [taylor]: Taking taylor expansion of (- (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3))) in N 9.312 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 9.312 * [taylor]: Taking taylor expansion of 0.5 in N 9.312 * [backup-simplify]: Simplify 0.5 into 0.5 9.312 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.312 * [taylor]: Taking taylor expansion of N in N 9.312 * [backup-simplify]: Simplify 0 into 0 9.312 * [backup-simplify]: Simplify 1 into 1 9.312 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 9.312 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 9.312 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 9.312 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.312 * [taylor]: Taking taylor expansion of N in N 9.312 * [backup-simplify]: Simplify 0 into 0 9.312 * [backup-simplify]: Simplify 1 into 1 9.312 * [taylor]: Taking taylor expansion of (- (* 0.5 (pow N 2)) (* 0.3333333333333333 (pow N 3))) in N 9.312 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 9.312 * [taylor]: Taking taylor expansion of 0.5 in N 9.312 * [backup-simplify]: Simplify 0.5 into 0.5 9.312 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.312 * [taylor]: Taking taylor expansion of N in N 9.312 * [backup-simplify]: Simplify 0 into 0 9.312 * [backup-simplify]: Simplify 1 into 1 9.312 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 9.312 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 9.312 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 9.312 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.312 * [taylor]: Taking taylor expansion of N in N 9.312 * [backup-simplify]: Simplify 0 into 0 9.312 * [backup-simplify]: Simplify 1 into 1 9.312 * [backup-simplify]: Simplify (* 1 1) into 1 9.313 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 9.313 * [backup-simplify]: Simplify (+ 0.5 0) into 0.5 9.313 * [backup-simplify]: Simplify 0.5 into 0.5 9.313 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.314 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 9.314 * [backup-simplify]: Simplify (* 1 1) into 1 9.314 * [backup-simplify]: Simplify (* 1 1) into 1 9.314 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 9.315 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 9.315 * [backup-simplify]: Simplify (+ 0 (- 0.3333333333333333)) into (- 0.3333333333333333) 9.316 * [backup-simplify]: Simplify (- 0.3333333333333333) into (- 0.3333333333333333) 9.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.317 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 9.317 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.318 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.318 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 9.318 * [backup-simplify]: Simplify (- 0) into 0 9.319 * [backup-simplify]: Simplify (+ 0 0) into 0 9.319 * [backup-simplify]: Simplify 0 into 0 9.319 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.320 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.321 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.322 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 9.322 * [backup-simplify]: Simplify (- 0) into 0 9.322 * [backup-simplify]: Simplify (+ 0 0) into 0 9.322 * [backup-simplify]: Simplify 0 into 0 9.323 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.323 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.324 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.326 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.326 * [backup-simplify]: Simplify (- 0) into 0 9.326 * [backup-simplify]: Simplify (+ 0 0) into 0 9.326 * [backup-simplify]: Simplify 0 into 0 9.327 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.328 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.328 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.329 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.330 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.330 * [backup-simplify]: Simplify (- 0) into 0 9.330 * [backup-simplify]: Simplify (+ 0 0) into 0 9.330 * [backup-simplify]: Simplify 0 into 0 9.331 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.336 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.337 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.338 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.339 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.339 * [backup-simplify]: Simplify (- 0) into 0 9.339 * [backup-simplify]: Simplify (+ 0 0) into 0 9.339 * [backup-simplify]: Simplify 0 into 0 9.340 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 9.341 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 9.342 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.343 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.344 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.344 * [backup-simplify]: Simplify (- 0) into 0 9.344 * [backup-simplify]: Simplify (+ 0 0) into 0 9.345 * [backup-simplify]: Simplify 0 into 0 9.345 * [backup-simplify]: Simplify (+ (* (- 0.3333333333333333) (pow (/ 1 N) 3)) (* 0.5 (pow (/ 1 N) 2))) into (- (* 0.5 (/ 1 (pow N 2))) (* 0.3333333333333333 (/ 1 (pow N 3)))) 9.345 * [backup-simplify]: Simplify (- (/ 0.5 (* (/ 1 (- N)) (/ 1 (- N)))) (/ (/ 0.3333333333333333 (/ 1 (- N))) (* (/ 1 (- N)) (/ 1 (- N))))) into (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) 9.345 * [approximate]: Taking taylor expansion of (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) in (N) around 0 9.345 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) in N 9.345 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 9.345 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 9.345 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 9.345 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.345 * [taylor]: Taking taylor expansion of N in N 9.345 * [backup-simplify]: Simplify 0 into 0 9.345 * [backup-simplify]: Simplify 1 into 1 9.346 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 9.346 * [taylor]: Taking taylor expansion of 0.5 in N 9.346 * [backup-simplify]: Simplify 0.5 into 0.5 9.346 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.346 * [taylor]: Taking taylor expansion of N in N 9.346 * [backup-simplify]: Simplify 0 into 0 9.346 * [backup-simplify]: Simplify 1 into 1 9.346 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (pow N 3)) (* 0.5 (pow N 2))) in N 9.346 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow N 3)) in N 9.346 * [taylor]: Taking taylor expansion of 0.3333333333333333 in N 9.346 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 9.346 * [taylor]: Taking taylor expansion of (pow N 3) in N 9.346 * [taylor]: Taking taylor expansion of N in N 9.346 * [backup-simplify]: Simplify 0 into 0 9.346 * [backup-simplify]: Simplify 1 into 1 9.346 * [taylor]: Taking taylor expansion of (* 0.5 (pow N 2)) in N 9.346 * [taylor]: Taking taylor expansion of 0.5 in N 9.346 * [backup-simplify]: Simplify 0.5 into 0.5 9.346 * [taylor]: Taking taylor expansion of (pow N 2) in N 9.346 * [taylor]: Taking taylor expansion of N in N 9.346 * [backup-simplify]: Simplify 0 into 0 9.346 * [backup-simplify]: Simplify 1 into 1 9.346 * [backup-simplify]: Simplify (* 1 1) into 1 9.346 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 9.347 * [backup-simplify]: Simplify (+ 0 0.5) into 0.5 9.347 * [backup-simplify]: Simplify 0.5 into 0.5 9.347 * [backup-simplify]: Simplify (* 1 1) into 1 9.347 * [backup-simplify]: Simplify (* 1 1) into 1 9.347 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333 9.348 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.348 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0 9.349 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333 9.349 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333 9.349 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.349 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.350 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0 9.350 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.351 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0 9.351 * [backup-simplify]: Simplify (+ 0 0) into 0 9.351 * [backup-simplify]: Simplify 0 into 0 9.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.353 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0 9.353 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.354 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.354 * [backup-simplify]: Simplify (+ 0 0) into 0 9.354 * [backup-simplify]: Simplify 0 into 0 9.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.356 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.356 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.357 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.358 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.358 * [backup-simplify]: Simplify (+ 0 0) into 0 9.358 * [backup-simplify]: Simplify 0 into 0 9.359 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.359 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.360 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.361 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.362 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.362 * [backup-simplify]: Simplify (+ 0 0) into 0 9.362 * [backup-simplify]: Simplify 0 into 0 9.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.364 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 9.365 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.366 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.366 * [backup-simplify]: Simplify (+ 0 0) into 0 9.366 * [backup-simplify]: Simplify 0 into 0 9.367 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.368 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.369 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 9.370 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 9.371 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 9.371 * [backup-simplify]: Simplify (+ 0 0) into 0 9.371 * [backup-simplify]: Simplify 0 into 0 9.371 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (/ 1 (- N)) 3)) (* 0.5 (pow (/ 1 (- N)) 2))) into (- (* 0.5 (/ 1 (pow N 2))) (* 0.3333333333333333 (/ 1 (pow N 3)))) 9.372 * * * [progress]: simplifying candidates 9.374 * [simplify]: Simplifying: (log (cbrt (- (/ 1.0 N) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))))) (exp (cbrt (- (/ 1.0 N) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))))) (cbrt (* (cbrt (- (/ 1.0 N) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))))) (cbrt (- (/ 1.0 N) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))))))) (cbrt (cbrt (- (/ 1.0 N) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))))) (cbrt (sqrt (- (/ 1.0 N) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))))) (cbrt (sqrt (- (/ 1.0 N) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))))) (cbrt 1) (cbrt (- (/ 1.0 N) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))))) (cbrt (+ (sqrt (/ 1.0 N)) (sqrt (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))))) (cbrt (- (sqrt (/ 1.0 N)) (sqrt (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))))) (cbrt (+ (/ (sqrt 1.0) (sqrt N)) (sqrt (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))))) (cbrt (- (/ (sqrt 1.0) (sqrt N)) (sqrt (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))))) (cbrt 1) (cbrt (- (/ 1.0 N) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))))) (cbrt 1) (cbrt (- (/ 1.0 N) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))))) (cbrt (- (* 1.0 (* N N)) (* N (- 0.5 (/ 0.3333333333333333 N))))) (cbrt (* N (* N N))) (cbrt (- (* 1.0 (* (* N N) (* N N))) (* N (- (* 0.5 (* N N)) (* (* N N) (/ 0.3333333333333333 N)))))) (cbrt (* N (* (* N N) (* N N)))) (cbrt (- (* 1.0 (+ (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (+ (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (* (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))))) (* N (- (pow (/ 0.5 (* N N)) 3) (pow (/ (/ 0.3333333333333333 N) (* N N)) 3))))) (cbrt (* N (+ (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (+ (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) (* (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))))))) (cbrt (- (* 1.0 (+ (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N)))) (* N (- (* (/ 0.5 (* N N)) (/ 0.5 (* N N))) (* (/ (/ 0.3333333333333333 N) (* N N)) (/ (/ 0.3333333333333333 N) (* N N))))))) (cbrt (* N (+ (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))))) (cbrt (- (pow (/ 1.0 N) 3) (pow (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) (* N N))) 3))) (cbrt (+ (* (/ 1.0 N) (/ 1.0 N)) (+ (* (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 N) 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-1)) (* (pow N 2) (pow 1.0 2)))) (* 0.16666666666666666 (/ (* (exp (* 1/3 (+ (log 1.0) (log (/ -1 N))))) (cbrt -1)) N)))) (- (* 0.5 (/ 1 (pow N 2))) (* 0.3333333333333333 (/ 1 (pow N 3)))) (- (* 0.5 (/ 1 (pow N 2))) (* 0.3333333333333333 (/ 1 (pow N 3)))) (- (* 0.5 (/ 1 (pow N 2))) (* 0.3333333333333333 (/ 1 (pow N 3)))) 9.377 * * [simplify]: iteration 0: 188 enodes 9.440 * * [simplify]: iteration 1: 477 enodes 9.753 * * [simplify]: iteration 2: 1930 enodes 10.290 * * [simplify]: iteration complete: 5001 enodes 10.290 * * [simplify]: Extracting #0: cost 57 inf + 0 10.290 * * [simplify]: Extracting #1: cost 252 inf + 2 10.293 * * [simplify]: Extracting #2: cost 1233 inf + 3052 10.319 * * [simplify]: Extracting #3: cost 1770 inf + 65684 10.358 * * [simplify]: Extracting #4: cost 1126 inf + 197942 10.455 * * [simplify]: Extracting #5: cost 519 inf + 362937 10.545 * * [simplify]: Extracting #6: cost 158 inf + 502006 11.011 * * [simplify]: Extracting #7: cost 8 inf + 575935 11.166 * * [simplify]: Extracting #8: cost 0 inf + 575083 11.297 * * [simplify]: Extracting #9: cost 0 inf + 574753 11.461 * [simplify]: Simplified to: (log (cbrt (+ (/ (/ 0.3333333333333333 (* N N)) N) (- (/ 1.0 N) (/ 0.5 (* N N)))))) (exp (cbrt (+ (/ (/ 0.3333333333333333 (* N N)) N) (- (/ 1.0 N) (/ 0.5 (* N N)))))) (cbrt (* (cbrt (+ (/ (/ 0.3333333333333333 (* N N)) N) (- (/ 1.0 N) (/ 0.5 (* N N))))) (cbrt (+ (/ (/ 0.3333333333333333 (* N N)) N) (- (/ 1.0 N) (/ 0.5 (* N N))))))) (cbrt (cbrt (+ (/ (/ 0.3333333333333333 (* N N)) N) (- (/ 1.0 N) (/ 0.5 (* N N)))))) (cbrt (sqrt (+ (/ (/ 0.3333333333333333 (* N N)) N) (- (/ 1.0 N) (/ 0.5 (* N N)))))) (cbrt (sqrt (+ (/ (/ 0.3333333333333333 (* N N)) N) (- (/ 1.0 N) (/ 0.5 (* N N)))))) 1 (cbrt (+ (/ (/ 0.3333333333333333 (* N N)) N) (- (/ 1.0 N) (/ 0.5 (* N N))))) (cbrt (+ (sqrt (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 (* N N)) N))) (sqrt (/ 1.0 N)))) (cbrt (- (sqrt (/ 1.0 N)) (sqrt (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 (* N N)) N))))) (cbrt 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-1) N)) (- (* (exp (* 1/3 (+ (log (/ -1 N)) (log 1.0)))) (cbrt -1)) (+ (* (/ (* 0.041666666666666664 (cbrt -1)) (* 1.0 N)) (/ (exp (* 1/3 (+ (log (/ -1 N)) (log 1.0)))) (* 1.0 N))) (/ (* (exp (* 1/3 (+ (log (/ -1 N)) (log 1.0)))) 0.16666666666666666) (/ N (cbrt -1)))))) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 (* N N)) N)) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 (* N N)) N)) (- (/ 0.5 (* N N)) (/ (/ 0.3333333333333333 (* N N)) N)) 11.480 * * * [progress]: adding candidates to table 12.136 * [progress]: [Phase 3 of 3] Extracting. 12.136 * * [regime]: Finding splitpoints for: (# # # #) 12.138 * * * [regime-changes]: Trying 1 branch expressions: (N) 12.138 * * * * [regimes]: Trying to branch on N from (# # # #) 12.210 * * * [regime]: Found split indices: #