12.479 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.048 * * * [progress]: [2/2] Setting up program. 0.051 * [progress]: [Phase 2 of 3] Improving. 0.052 * [simplify]: Simplifying: (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) 0.052 * [simplify]: Sending expressions to egg_math: (+ (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) (* h0 h0)) 0.072 * * [progress]: iteration 1 / 4 0.072 * * * [progress]: picking best candidate 0.077 * * * * [pick]: Picked # 0.077 * * * [progress]: localizing error 0.092 * * * [progress]: generating rewritten candidates 0.092 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.127 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.163 * * * [progress]: generating series expansions 0.163 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.164 * [backup-simplify]: Simplify (* 3 (* y y)) into (* 3 (pow y 2)) 0.164 * [approximate]: Taking taylor expansion of (* 3 (pow y 2)) in (y) around 0 0.164 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.164 * [taylor]: Taking taylor expansion of 3 in y 0.164 * [backup-simplify]: Simplify 3 into 3 0.164 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.164 * [taylor]: Taking taylor expansion of y in y 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify 1 into 1 0.164 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.164 * [taylor]: Taking taylor expansion of 3 in y 0.164 * [backup-simplify]: Simplify 3 into 3 0.164 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.164 * [taylor]: Taking taylor expansion of y in y 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify 1 into 1 0.165 * [backup-simplify]: Simplify (* 1 1) into 1 0.165 * [backup-simplify]: Simplify (* 3 1) into 3 0.165 * [backup-simplify]: Simplify 3 into 3 0.166 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.167 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 0.167 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.169 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 0.169 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.171 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.171 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.173 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.173 * [backup-simplify]: Simplify 0 into 0 0.175 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.176 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.176 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.179 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify (* 3 (pow y 2)) into (* 3 (pow y 2)) 0.180 * [backup-simplify]: Simplify (* 3 (* (/ 1 y) (/ 1 y))) into (/ 3 (pow y 2)) 0.180 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.180 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.180 * [taylor]: Taking taylor expansion of 3 in y 0.180 * [backup-simplify]: Simplify 3 into 3 0.180 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.180 * [taylor]: Taking taylor expansion of y in y 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify 1 into 1 0.181 * [backup-simplify]: Simplify (* 1 1) into 1 0.181 * [backup-simplify]: Simplify (/ 3 1) into 3 0.181 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.181 * [taylor]: Taking taylor expansion of 3 in y 0.181 * [backup-simplify]: Simplify 3 into 3 0.181 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.181 * [taylor]: Taking taylor expansion of y in y 0.181 * [backup-simplify]: Simplify 0 into 0 0.181 * [backup-simplify]: Simplify 1 into 1 0.182 * [backup-simplify]: Simplify (* 1 1) into 1 0.182 * [backup-simplify]: Simplify (/ 3 1) into 3 0.182 * [backup-simplify]: Simplify 3 into 3 0.183 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.184 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)))) into 0 0.184 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.186 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.186 * [backup-simplify]: Simplify 0 into 0 0.187 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.188 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.188 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.190 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.190 * [backup-simplify]: Simplify 0 into 0 0.191 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.192 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.193 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.195 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify (* 3 (pow (/ 1 (/ 1 y)) 2)) into (* 3 (pow y 2)) 0.196 * [backup-simplify]: Simplify (* 3 (* (/ 1 (- y)) (/ 1 (- y)))) into (/ 3 (pow y 2)) 0.196 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.196 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.196 * [taylor]: Taking taylor expansion of 3 in y 0.196 * [backup-simplify]: Simplify 3 into 3 0.196 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.196 * [taylor]: Taking taylor expansion of y in y 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify 1 into 1 0.196 * [backup-simplify]: Simplify (* 1 1) into 1 0.197 * [backup-simplify]: Simplify (/ 3 1) into 3 0.197 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.197 * [taylor]: Taking taylor expansion of 3 in y 0.197 * [backup-simplify]: Simplify 3 into 3 0.197 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.197 * [taylor]: Taking taylor expansion of y in y 0.197 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify 1 into 1 0.197 * [backup-simplify]: Simplify (* 1 1) into 1 0.198 * [backup-simplify]: Simplify (/ 3 1) into 3 0.198 * [backup-simplify]: Simplify 3 into 3 0.199 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.199 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)))) into 0 0.199 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.201 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.201 * [backup-simplify]: Simplify 0 into 0 0.202 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.203 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.203 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.213 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.214 * [backup-simplify]: Simplify 0 into 0 0.215 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.216 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.216 * [backup-simplify]: Simplify 0 into 0 0.218 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.219 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.219 * [backup-simplify]: Simplify 0 into 0 0.219 * [backup-simplify]: Simplify (* 3 (pow (/ 1 (/ 1 (- y))) 2)) into (* 3 (pow y 2)) 0.219 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.220 * [backup-simplify]: Simplify (+ (* 3 (* y y)) (* x x)) into (+ (pow x 2) (* 3 (pow y 2))) 0.220 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (y x) around 0 0.220 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.220 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.220 * [taylor]: Taking taylor expansion of x in x 0.220 * [backup-simplify]: Simplify 0 into 0 0.220 * [backup-simplify]: Simplify 1 into 1 0.220 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.220 * [taylor]: Taking taylor expansion of 3 in x 0.220 * [backup-simplify]: Simplify 3 into 3 0.220 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.220 * [taylor]: Taking taylor expansion of y in x 0.220 * [backup-simplify]: Simplify y into y 0.220 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.220 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.220 * [taylor]: Taking taylor expansion of x in y 0.220 * [backup-simplify]: Simplify x into x 0.220 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.220 * [taylor]: Taking taylor expansion of 3 in y 0.220 * [backup-simplify]: Simplify 3 into 3 0.220 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.220 * [taylor]: Taking taylor expansion of y in y 0.220 * [backup-simplify]: Simplify 0 into 0 0.220 * [backup-simplify]: Simplify 1 into 1 0.220 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.220 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.220 * [taylor]: Taking taylor expansion of x in y 0.221 * [backup-simplify]: Simplify x into x 0.221 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.221 * [taylor]: Taking taylor expansion of 3 in y 0.221 * [backup-simplify]: Simplify 3 into 3 0.221 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.221 * [taylor]: Taking taylor expansion of y in y 0.221 * [backup-simplify]: Simplify 0 into 0 0.221 * [backup-simplify]: Simplify 1 into 1 0.221 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.221 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.221 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.221 * [taylor]: Taking taylor expansion of x in x 0.221 * [backup-simplify]: Simplify 0 into 0 0.221 * [backup-simplify]: Simplify 1 into 1 0.221 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.222 * [backup-simplify]: Simplify (+ 0 0) into 0 0.222 * [taylor]: Taking taylor expansion of 0 in x 0.222 * [backup-simplify]: Simplify 0 into 0 0.222 * [backup-simplify]: Simplify 0 into 0 0.223 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 0.223 * [backup-simplify]: Simplify (* 1 1) into 1 0.224 * [backup-simplify]: Simplify (* 3 1) into 3 0.224 * [backup-simplify]: Simplify (+ 0 3) into 3 0.224 * [taylor]: Taking taylor expansion of 3 in x 0.224 * [backup-simplify]: Simplify 3 into 3 0.224 * [backup-simplify]: Simplify 3 into 3 0.224 * [backup-simplify]: Simplify 0 into 0 0.225 * [backup-simplify]: Simplify (* 1 1) into 1 0.225 * [backup-simplify]: Simplify 1 into 1 0.225 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 0.226 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.227 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 0.227 * [backup-simplify]: Simplify (+ 0 0) into 0 0.227 * [taylor]: Taking taylor expansion of 0 in x 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify 0 into 0 0.228 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.228 * [backup-simplify]: Simplify 0 into 0 0.229 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 0.230 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.231 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 0.232 * [backup-simplify]: Simplify (+ 0 0) into 0 0.232 * [taylor]: Taking taylor expansion of 0 in x 0.232 * [backup-simplify]: Simplify 0 into 0 0.232 * [backup-simplify]: Simplify 0 into 0 0.232 * [backup-simplify]: Simplify 0 into 0 0.233 * [backup-simplify]: Simplify (+ (* 1 (pow (* x 1) 2)) (* 3 (pow (* 1 y) 2))) into (+ (pow x 2) (* 3 (pow y 2))) 0.233 * [backup-simplify]: Simplify (+ (* 3 (* (/ 1 y) (/ 1 y))) (* (/ 1 x) (/ 1 x))) into (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) 0.233 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.233 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.233 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.233 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.233 * [taylor]: Taking taylor expansion of x in x 0.233 * [backup-simplify]: Simplify 0 into 0 0.233 * [backup-simplify]: Simplify 1 into 1 0.234 * [backup-simplify]: Simplify (* 1 1) into 1 0.234 * [backup-simplify]: Simplify (/ 1 1) into 1 0.234 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.234 * [taylor]: Taking taylor expansion of 3 in x 0.234 * [backup-simplify]: Simplify 3 into 3 0.234 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.234 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.234 * [taylor]: Taking taylor expansion of y in x 0.234 * [backup-simplify]: Simplify y into y 0.235 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.235 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.235 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.235 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.235 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.235 * [taylor]: Taking taylor expansion of x in y 0.235 * [backup-simplify]: Simplify x into x 0.235 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.235 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.235 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.235 * [taylor]: Taking taylor expansion of 3 in y 0.235 * [backup-simplify]: Simplify 3 into 3 0.235 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.235 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.235 * [taylor]: Taking taylor expansion of y in y 0.235 * [backup-simplify]: Simplify 0 into 0 0.235 * [backup-simplify]: Simplify 1 into 1 0.236 * [backup-simplify]: Simplify (* 1 1) into 1 0.236 * [backup-simplify]: Simplify (/ 1 1) into 1 0.236 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.236 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.236 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.236 * [taylor]: Taking taylor expansion of x in y 0.236 * [backup-simplify]: Simplify x into x 0.236 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.237 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.237 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.237 * [taylor]: Taking taylor expansion of 3 in y 0.237 * [backup-simplify]: Simplify 3 into 3 0.237 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.237 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.237 * [taylor]: Taking taylor expansion of y in y 0.237 * [backup-simplify]: Simplify 0 into 0 0.237 * [backup-simplify]: Simplify 1 into 1 0.237 * [backup-simplify]: Simplify (* 1 1) into 1 0.238 * [backup-simplify]: Simplify (/ 1 1) into 1 0.238 * [backup-simplify]: Simplify (* 3 1) into 3 0.239 * [backup-simplify]: Simplify (+ 0 3) into 3 0.239 * [taylor]: Taking taylor expansion of 3 in x 0.239 * [backup-simplify]: Simplify 3 into 3 0.239 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.241 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 0.241 * [backup-simplify]: Simplify (+ 0 0) into 0 0.241 * [taylor]: Taking taylor expansion of 0 in x 0.241 * [backup-simplify]: Simplify 0 into 0 0.242 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.244 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 0.244 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 0.244 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.244 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.245 * [taylor]: Taking taylor expansion of x in x 0.245 * [backup-simplify]: Simplify 0 into 0 0.245 * [backup-simplify]: Simplify 1 into 1 0.245 * [backup-simplify]: Simplify (* 1 1) into 1 0.245 * [backup-simplify]: Simplify (/ 1 1) into 1 0.245 * [backup-simplify]: Simplify 1 into 1 0.246 * [backup-simplify]: Simplify 3 into 3 0.246 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.246 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 0.247 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.249 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.250 * [backup-simplify]: Simplify (+ 0 0) into 0 0.250 * [taylor]: Taking taylor expansion of 0 in x 0.250 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.251 * [backup-simplify]: Simplify 0 into 0 0.251 * [backup-simplify]: Simplify 0 into 0 0.251 * [backup-simplify]: Simplify 0 into 0 0.252 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 0.252 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 0.254 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.256 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.256 * [backup-simplify]: Simplify (+ 0 0) into 0 0.256 * [taylor]: Taking taylor expansion of 0 in x 0.256 * [backup-simplify]: Simplify 0 into 0 0.257 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.258 * [backup-simplify]: Simplify 0 into 0 0.258 * [backup-simplify]: Simplify 0 into 0 0.258 * [backup-simplify]: Simplify 0 into 0 0.259 * [backup-simplify]: Simplify (+ (* 3 (pow (* 1 (/ 1 (/ 1 y))) 2)) (* 1 (pow (* (/ 1 (/ 1 x)) 1) 2))) into (+ (pow x 2) (* 3 (pow y 2))) 0.259 * [backup-simplify]: Simplify (+ (* 3 (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- x)) (/ 1 (- x)))) into (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) 0.259 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.259 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.259 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.259 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.259 * [taylor]: Taking taylor expansion of x in x 0.260 * [backup-simplify]: Simplify 0 into 0 0.260 * [backup-simplify]: Simplify 1 into 1 0.260 * [backup-simplify]: Simplify (* 1 1) into 1 0.260 * [backup-simplify]: Simplify (/ 1 1) into 1 0.260 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.260 * [taylor]: Taking taylor expansion of 3 in x 0.261 * [backup-simplify]: Simplify 3 into 3 0.261 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.261 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.261 * [taylor]: Taking taylor expansion of y in x 0.261 * [backup-simplify]: Simplify y into y 0.261 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.261 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.261 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.261 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.261 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.261 * [taylor]: Taking taylor expansion of x in y 0.261 * [backup-simplify]: Simplify x into x 0.261 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.261 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.261 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.261 * [taylor]: Taking taylor expansion of 3 in y 0.261 * [backup-simplify]: Simplify 3 into 3 0.261 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.261 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.262 * [taylor]: Taking taylor expansion of y in y 0.262 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify 1 into 1 0.262 * [backup-simplify]: Simplify (* 1 1) into 1 0.262 * [backup-simplify]: Simplify (/ 1 1) into 1 0.262 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.262 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.262 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.262 * [taylor]: Taking taylor expansion of x in y 0.263 * [backup-simplify]: Simplify x into x 0.263 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.263 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.263 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.263 * [taylor]: Taking taylor expansion of 3 in y 0.263 * [backup-simplify]: Simplify 3 into 3 0.263 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.263 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.263 * [taylor]: Taking taylor expansion of y in y 0.263 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify 1 into 1 0.263 * [backup-simplify]: Simplify (* 1 1) into 1 0.264 * [backup-simplify]: Simplify (/ 1 1) into 1 0.264 * [backup-simplify]: Simplify (* 3 1) into 3 0.265 * [backup-simplify]: Simplify (+ 0 3) into 3 0.265 * [taylor]: Taking taylor expansion of 3 in x 0.265 * [backup-simplify]: Simplify 3 into 3 0.266 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.267 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 0.268 * [backup-simplify]: Simplify (+ 0 0) into 0 0.268 * [taylor]: Taking taylor expansion of 0 in x 0.268 * [backup-simplify]: Simplify 0 into 0 0.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.270 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 0.271 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 0.271 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.271 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.271 * [taylor]: Taking taylor expansion of x in x 0.271 * [backup-simplify]: Simplify 0 into 0 0.271 * [backup-simplify]: Simplify 1 into 1 0.271 * [backup-simplify]: Simplify (* 1 1) into 1 0.272 * [backup-simplify]: Simplify (/ 1 1) into 1 0.272 * [backup-simplify]: Simplify 1 into 1 0.272 * [backup-simplify]: Simplify 3 into 3 0.272 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.272 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 0.273 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.275 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.276 * [backup-simplify]: Simplify (+ 0 0) into 0 0.276 * [taylor]: Taking taylor expansion of 0 in x 0.276 * [backup-simplify]: Simplify 0 into 0 0.277 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.277 * [backup-simplify]: Simplify 0 into 0 0.277 * [backup-simplify]: Simplify 0 into 0 0.278 * [backup-simplify]: Simplify 0 into 0 0.278 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 0.279 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 0.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.282 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.283 * [backup-simplify]: Simplify (+ 0 0) into 0 0.283 * [taylor]: Taking taylor expansion of 0 in x 0.283 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.285 * [backup-simplify]: Simplify 0 into 0 0.285 * [backup-simplify]: Simplify 0 into 0 0.285 * [backup-simplify]: Simplify 0 into 0 0.285 * [backup-simplify]: Simplify (+ (* 3 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- x))) 1) 2))) into (+ (pow x 2) (* 3 (pow y 2))) 0.285 * * * [progress]: simplifying candidates 0.287 * [simplify]: Simplifying: (* 3 (* y y)) (* 3 (* y y)) (+ (log 3) (+ (log y) (log y))) (+ (log 3) (log (* y y))) (log (* 3 (* y y))) (exp (* 3 (* y y))) (* (* (* 3 3) 3) (* (* (* y y) y) (* (* y y) y))) (* (* (* 3 3) 3) (* (* (* y y) (* y y)) (* y y))) (* (cbrt (* 3 (* y y))) (cbrt (* 3 (* y y)))) (cbrt (* 3 (* y y))) (* (* (* 3 (* y y)) (* 3 (* y y))) (* 3 (* y y))) (sqrt (* 3 (* y y))) (sqrt (* 3 (* y y))) (* (sqrt 3) y) (* (sqrt 3) y) (* 3 y) (* (cbrt 3) (* y y)) (* (sqrt 3) (* y y)) (* 3 (* y y)) (* (exp (* 3 (* y y))) (exp (* x x))) (log (+ (* 3 (* y y)) (* x x))) (exp (+ (* 3 (* y y)) (* x x))) (* (cbrt (+ (* 3 (* y y)) (* x x))) (cbrt (+ (* 3 (* y y)) (* x x)))) (cbrt (+ (* 3 (* y y)) (* x x))) (* (* (+ (* 3 (* y y)) (* x x)) (+ (* 3 (* y y)) (* x x))) (+ (* 3 (* y y)) (* x x))) (sqrt (+ (* 3 (* y y)) (* x x))) (sqrt (+ (* 3 (* y y)) (* x x))) (+ (pow (* 3 (* y y)) 3) (pow (* x x) 3)) (+ (* (* 3 (* y y)) (* 3 (* y y))) (- (* (* x x) (* x x)) (* (* 3 (* y y)) (* x x)))) (- (* (* 3 (* y y)) (* 3 (* y y))) (* (* x x) (* x x))) (- (* 3 (* y y)) (* x x)) (* 3 (pow y 2)) (* 3 (pow y 2)) (* 3 (pow y 2)) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) 0.287 * [simplify]: Sending expressions to egg_math: (* 3 (* h0 h0)) (* 3 (* h0 h0)) (+ (log 3) (+ (log h0) (log h0))) (+ (log 3) (log (* h0 h0))) (log (* 3 (* h0 h0))) (exp (* 3 (* h0 h0))) (* (* (* 3 3) 3) (* (* (* h0 h0) h0) (* (* h0 h0) h0))) (* (* (* 3 3) 3) (* (* (* h0 h0) (* h0 h0)) (* h0 h0))) (* (cbrt (* 3 (* h0 h0))) (cbrt (* 3 (* h0 h0)))) (cbrt (* 3 (* h0 h0))) (* (* (* 3 (* h0 h0)) (* 3 (* h0 h0))) (* 3 (* h0 h0))) (sqrt (* 3 (* h0 h0))) (sqrt (* 3 (* h0 h0))) (* (sqrt 3) h0) (* (sqrt 3) h0) (* 3 h0) (* (cbrt 3) (* h0 h0)) (* (sqrt 3) (* h0 h0)) (* 3 (* h0 h0)) (* (exp (* 3 (* h0 h0))) (exp (* h1 h1))) (log (+ (* 3 (* h0 h0)) (* h1 h1))) (exp (+ (* 3 (* h0 h0)) (* h1 h1))) (* (cbrt (+ (* 3 (* h0 h0)) (* h1 h1))) (cbrt (+ (* 3 (* h0 h0)) (* h1 h1)))) (cbrt (+ (* 3 (* h0 h0)) (* h1 h1))) (* (* (+ (* 3 (* h0 h0)) (* h1 h1)) (+ (* 3 (* h0 h0)) (* h1 h1))) (+ (* 3 (* h0 h0)) (* h1 h1))) (sqrt (+ (* 3 (* h0 h0)) (* h1 h1))) (sqrt (+ (* 3 (* h0 h0)) (* h1 h1))) (+ (pow (* 3 (* h0 h0)) 3) (pow (* h1 h1) 3)) (+ (* (* 3 (* h0 h0)) (* 3 (* h0 h0))) (- (* (* h1 h1) (* h1 h1)) (* (* 3 (* h0 h0)) (* h1 h1)))) (- (* (* 3 (* h0 h0)) (* 3 (* h0 h0))) (* (* h1 h1) (* h1 h1))) (- (* 3 (* h0 h0)) (* h1 h1)) (* 3 (pow h0 2)) (* 3 (pow h0 2)) (* 3 (pow h0 2)) (+ (pow h1 2) (* 3 (pow h0 2))) (+ (pow h1 2) (* 3 (pow h0 2))) (+ (pow h1 2) (* 3 (pow h0 2))) 0.366 * * * [progress]: adding candidates to table 0.445 * * [progress]: iteration 2 / 4 0.445 * * * [progress]: picking best candidate 0.463 * * * * [pick]: Picked # 0.463 * * * [progress]: localizing error 0.472 * * * [progress]: generating rewritten candidates 0.472 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.494 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.519 * * * [progress]: generating series expansions 0.519 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.519 * [backup-simplify]: Simplify (* (* 3 y) y) into (* 3 (pow y 2)) 0.519 * [approximate]: Taking taylor expansion of (* 3 (pow y 2)) in (y) around 0 0.519 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.519 * [taylor]: Taking taylor expansion of 3 in y 0.519 * [backup-simplify]: Simplify 3 into 3 0.519 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.519 * [taylor]: Taking taylor expansion of y in y 0.519 * [backup-simplify]: Simplify 0 into 0 0.519 * [backup-simplify]: Simplify 1 into 1 0.519 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.519 * [taylor]: Taking taylor expansion of 3 in y 0.519 * [backup-simplify]: Simplify 3 into 3 0.519 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.520 * [taylor]: Taking taylor expansion of y in y 0.520 * [backup-simplify]: Simplify 0 into 0 0.520 * [backup-simplify]: Simplify 1 into 1 0.520 * [backup-simplify]: Simplify (* 1 1) into 1 0.521 * [backup-simplify]: Simplify (* 3 1) into 3 0.521 * [backup-simplify]: Simplify 3 into 3 0.521 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.522 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 0.522 * [backup-simplify]: Simplify 0 into 0 0.523 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.524 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 0.524 * [backup-simplify]: Simplify 0 into 0 0.525 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.526 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.526 * [backup-simplify]: Simplify 0 into 0 0.528 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.529 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.529 * [backup-simplify]: Simplify 0 into 0 0.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.532 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.532 * [backup-simplify]: Simplify 0 into 0 0.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.535 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.535 * [backup-simplify]: Simplify 0 into 0 0.535 * [backup-simplify]: Simplify (* 3 (pow y 2)) into (* 3 (pow y 2)) 0.535 * [backup-simplify]: Simplify (* (* 3 (/ 1 y)) (/ 1 y)) into (/ 3 (pow y 2)) 0.535 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.535 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.535 * [taylor]: Taking taylor expansion of 3 in y 0.535 * [backup-simplify]: Simplify 3 into 3 0.535 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.535 * [taylor]: Taking taylor expansion of y in y 0.535 * [backup-simplify]: Simplify 0 into 0 0.535 * [backup-simplify]: Simplify 1 into 1 0.536 * [backup-simplify]: Simplify (* 1 1) into 1 0.536 * [backup-simplify]: Simplify (/ 3 1) into 3 0.536 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.536 * [taylor]: Taking taylor expansion of 3 in y 0.536 * [backup-simplify]: Simplify 3 into 3 0.536 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.536 * [taylor]: Taking taylor expansion of y in y 0.536 * [backup-simplify]: Simplify 0 into 0 0.536 * [backup-simplify]: Simplify 1 into 1 0.537 * [backup-simplify]: Simplify (* 1 1) into 1 0.537 * [backup-simplify]: Simplify (/ 3 1) into 3 0.537 * [backup-simplify]: Simplify 3 into 3 0.538 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.539 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)))) into 0 0.539 * [backup-simplify]: Simplify 0 into 0 0.540 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.541 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.541 * [backup-simplify]: Simplify 0 into 0 0.542 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.543 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.543 * [backup-simplify]: Simplify 0 into 0 0.544 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.545 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.545 * [backup-simplify]: Simplify 0 into 0 0.546 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.547 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.547 * [backup-simplify]: Simplify 0 into 0 0.549 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.550 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.550 * [backup-simplify]: Simplify 0 into 0 0.550 * [backup-simplify]: Simplify (* 3 (pow (/ 1 (/ 1 y)) 2)) into (* 3 (pow y 2)) 0.550 * [backup-simplify]: Simplify (* (* 3 (/ 1 (- y))) (/ 1 (- y))) into (/ 3 (pow y 2)) 0.550 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.550 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.550 * [taylor]: Taking taylor expansion of 3 in y 0.550 * [backup-simplify]: Simplify 3 into 3 0.550 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.550 * [taylor]: Taking taylor expansion of y in y 0.550 * [backup-simplify]: Simplify 0 into 0 0.550 * [backup-simplify]: Simplify 1 into 1 0.551 * [backup-simplify]: Simplify (* 1 1) into 1 0.551 * [backup-simplify]: Simplify (/ 3 1) into 3 0.551 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.551 * [taylor]: Taking taylor expansion of 3 in y 0.551 * [backup-simplify]: Simplify 3 into 3 0.551 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.551 * [taylor]: Taking taylor expansion of y in y 0.551 * [backup-simplify]: Simplify 0 into 0 0.551 * [backup-simplify]: Simplify 1 into 1 0.552 * [backup-simplify]: Simplify (* 1 1) into 1 0.552 * [backup-simplify]: Simplify (/ 3 1) into 3 0.552 * [backup-simplify]: Simplify 3 into 3 0.553 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.554 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)))) into 0 0.554 * [backup-simplify]: Simplify 0 into 0 0.555 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.555 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.556 * [backup-simplify]: Simplify 0 into 0 0.556 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.557 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.557 * [backup-simplify]: Simplify 0 into 0 0.559 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.560 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.560 * [backup-simplify]: Simplify 0 into 0 0.561 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.562 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.562 * [backup-simplify]: Simplify 0 into 0 0.563 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.564 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.564 * [backup-simplify]: Simplify 0 into 0 0.565 * [backup-simplify]: Simplify (* 3 (pow (/ 1 (/ 1 (- y))) 2)) into (* 3 (pow y 2)) 0.565 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.565 * [backup-simplify]: Simplify (+ (* (* 3 y) y) (* x x)) into (+ (pow x 2) (* 3 (pow y 2))) 0.565 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (y x) around 0 0.565 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.565 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.565 * [taylor]: Taking taylor expansion of x in x 0.565 * [backup-simplify]: Simplify 0 into 0 0.565 * [backup-simplify]: Simplify 1 into 1 0.565 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.565 * [taylor]: Taking taylor expansion of 3 in x 0.565 * [backup-simplify]: Simplify 3 into 3 0.565 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.565 * [taylor]: Taking taylor expansion of y in x 0.565 * [backup-simplify]: Simplify y into y 0.565 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.565 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.565 * [taylor]: Taking taylor expansion of x in y 0.566 * [backup-simplify]: Simplify x into x 0.566 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.566 * [taylor]: Taking taylor expansion of 3 in y 0.566 * [backup-simplify]: Simplify 3 into 3 0.566 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.566 * [taylor]: Taking taylor expansion of y in y 0.566 * [backup-simplify]: Simplify 0 into 0 0.566 * [backup-simplify]: Simplify 1 into 1 0.566 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.566 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.566 * [taylor]: Taking taylor expansion of x in y 0.566 * [backup-simplify]: Simplify x into x 0.566 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.566 * [taylor]: Taking taylor expansion of 3 in y 0.566 * [backup-simplify]: Simplify 3 into 3 0.566 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.566 * [taylor]: Taking taylor expansion of y in y 0.566 * [backup-simplify]: Simplify 0 into 0 0.566 * [backup-simplify]: Simplify 1 into 1 0.566 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.566 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.566 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.566 * [taylor]: Taking taylor expansion of x in x 0.566 * [backup-simplify]: Simplify 0 into 0 0.566 * [backup-simplify]: Simplify 1 into 1 0.567 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.567 * [backup-simplify]: Simplify (+ 0 0) into 0 0.567 * [taylor]: Taking taylor expansion of 0 in x 0.567 * [backup-simplify]: Simplify 0 into 0 0.567 * [backup-simplify]: Simplify 0 into 0 0.568 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 0.568 * [backup-simplify]: Simplify (* 1 1) into 1 0.568 * [backup-simplify]: Simplify (* 3 1) into 3 0.569 * [backup-simplify]: Simplify (+ 0 3) into 3 0.569 * [taylor]: Taking taylor expansion of 3 in x 0.569 * [backup-simplify]: Simplify 3 into 3 0.569 * [backup-simplify]: Simplify 3 into 3 0.569 * [backup-simplify]: Simplify 0 into 0 0.569 * [backup-simplify]: Simplify (* 1 1) into 1 0.569 * [backup-simplify]: Simplify 1 into 1 0.570 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 0.571 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.572 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 0.572 * [backup-simplify]: Simplify (+ 0 0) into 0 0.572 * [taylor]: Taking taylor expansion of 0 in x 0.572 * [backup-simplify]: Simplify 0 into 0 0.572 * [backup-simplify]: Simplify 0 into 0 0.572 * [backup-simplify]: Simplify 0 into 0 0.572 * [backup-simplify]: Simplify 0 into 0 0.573 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.573 * [backup-simplify]: Simplify 0 into 0 0.574 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 0.575 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.576 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 0.576 * [backup-simplify]: Simplify (+ 0 0) into 0 0.576 * [taylor]: Taking taylor expansion of 0 in x 0.576 * [backup-simplify]: Simplify 0 into 0 0.576 * [backup-simplify]: Simplify 0 into 0 0.576 * [backup-simplify]: Simplify 0 into 0 0.577 * [backup-simplify]: Simplify (+ (* 1 (pow (* x 1) 2)) (* 3 (pow (* 1 y) 2))) into (+ (pow x 2) (* 3 (pow y 2))) 0.577 * [backup-simplify]: Simplify (+ (* (* 3 (/ 1 y)) (/ 1 y)) (* (/ 1 x) (/ 1 x))) into (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) 0.577 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.577 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.577 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.577 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.577 * [taylor]: Taking taylor expansion of x in x 0.577 * [backup-simplify]: Simplify 0 into 0 0.577 * [backup-simplify]: Simplify 1 into 1 0.578 * [backup-simplify]: Simplify (* 1 1) into 1 0.578 * [backup-simplify]: Simplify (/ 1 1) into 1 0.578 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.578 * [taylor]: Taking taylor expansion of 3 in x 0.578 * [backup-simplify]: Simplify 3 into 3 0.578 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.578 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.578 * [taylor]: Taking taylor expansion of y in x 0.578 * [backup-simplify]: Simplify y into y 0.578 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.578 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.578 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.578 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.579 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.579 * [taylor]: Taking taylor expansion of x in y 0.579 * [backup-simplify]: Simplify x into x 0.579 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.579 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.579 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.579 * [taylor]: Taking taylor expansion of 3 in y 0.579 * [backup-simplify]: Simplify 3 into 3 0.579 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.579 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.579 * [taylor]: Taking taylor expansion of y in y 0.579 * [backup-simplify]: Simplify 0 into 0 0.579 * [backup-simplify]: Simplify 1 into 1 0.580 * [backup-simplify]: Simplify (* 1 1) into 1 0.580 * [backup-simplify]: Simplify (/ 1 1) into 1 0.580 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.580 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.580 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.580 * [taylor]: Taking taylor expansion of x in y 0.580 * [backup-simplify]: Simplify x into x 0.580 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.580 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.580 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.580 * [taylor]: Taking taylor expansion of 3 in y 0.580 * [backup-simplify]: Simplify 3 into 3 0.580 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.580 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.580 * [taylor]: Taking taylor expansion of y in y 0.580 * [backup-simplify]: Simplify 0 into 0 0.580 * [backup-simplify]: Simplify 1 into 1 0.581 * [backup-simplify]: Simplify (* 1 1) into 1 0.581 * [backup-simplify]: Simplify (/ 1 1) into 1 0.582 * [backup-simplify]: Simplify (* 3 1) into 3 0.582 * [backup-simplify]: Simplify (+ 0 3) into 3 0.582 * [taylor]: Taking taylor expansion of 3 in x 0.582 * [backup-simplify]: Simplify 3 into 3 0.583 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.584 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 0.585 * [backup-simplify]: Simplify (+ 0 0) into 0 0.585 * [taylor]: Taking taylor expansion of 0 in x 0.585 * [backup-simplify]: Simplify 0 into 0 0.586 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.587 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 0.588 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 0.588 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.588 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.588 * [taylor]: Taking taylor expansion of x in x 0.588 * [backup-simplify]: Simplify 0 into 0 0.588 * [backup-simplify]: Simplify 1 into 1 0.588 * [backup-simplify]: Simplify (* 1 1) into 1 0.588 * [backup-simplify]: Simplify (/ 1 1) into 1 0.588 * [backup-simplify]: Simplify 1 into 1 0.589 * [backup-simplify]: Simplify 3 into 3 0.589 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.589 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 0.590 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.592 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.593 * [backup-simplify]: Simplify (+ 0 0) into 0 0.593 * [taylor]: Taking taylor expansion of 0 in x 0.593 * [backup-simplify]: Simplify 0 into 0 0.593 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.594 * [backup-simplify]: Simplify 0 into 0 0.594 * [backup-simplify]: Simplify 0 into 0 0.594 * [backup-simplify]: Simplify 0 into 0 0.595 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 0.595 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 0.597 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.598 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.599 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.599 * [backup-simplify]: Simplify (+ 0 0) into 0 0.599 * [taylor]: Taking taylor expansion of 0 in x 0.599 * [backup-simplify]: Simplify 0 into 0 0.600 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.601 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.601 * [backup-simplify]: Simplify 0 into 0 0.601 * [backup-simplify]: Simplify 0 into 0 0.601 * [backup-simplify]: Simplify 0 into 0 0.602 * [backup-simplify]: Simplify (+ (* 3 (pow (* 1 (/ 1 (/ 1 y))) 2)) (* 1 (pow (* (/ 1 (/ 1 x)) 1) 2))) into (+ (pow x 2) (* 3 (pow y 2))) 0.602 * [backup-simplify]: Simplify (+ (* (* 3 (/ 1 (- y))) (/ 1 (- y))) (* (/ 1 (- x)) (/ 1 (- x)))) into (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) 0.602 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (y x) around 0 0.602 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.602 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.603 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.603 * [taylor]: Taking taylor expansion of x in x 0.603 * [backup-simplify]: Simplify 0 into 0 0.603 * [backup-simplify]: Simplify 1 into 1 0.603 * [backup-simplify]: Simplify (* 1 1) into 1 0.603 * [backup-simplify]: Simplify (/ 1 1) into 1 0.603 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.604 * [taylor]: Taking taylor expansion of 3 in x 0.604 * [backup-simplify]: Simplify 3 into 3 0.604 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.604 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.604 * [taylor]: Taking taylor expansion of y in x 0.604 * [backup-simplify]: Simplify y into y 0.604 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.604 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.604 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.604 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.604 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.604 * [taylor]: Taking taylor expansion of x in y 0.604 * [backup-simplify]: Simplify x into x 0.604 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.604 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.604 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.604 * [taylor]: Taking taylor expansion of 3 in y 0.604 * [backup-simplify]: Simplify 3 into 3 0.604 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.604 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.604 * [taylor]: Taking taylor expansion of y in y 0.604 * [backup-simplify]: Simplify 0 into 0 0.604 * [backup-simplify]: Simplify 1 into 1 0.605 * [backup-simplify]: Simplify (* 1 1) into 1 0.605 * [backup-simplify]: Simplify (/ 1 1) into 1 0.605 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.605 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.605 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.605 * [taylor]: Taking taylor expansion of x in y 0.605 * [backup-simplify]: Simplify x into x 0.605 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.606 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.606 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.606 * [taylor]: Taking taylor expansion of 3 in y 0.606 * [backup-simplify]: Simplify 3 into 3 0.606 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.606 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.606 * [taylor]: Taking taylor expansion of y in y 0.606 * [backup-simplify]: Simplify 0 into 0 0.606 * [backup-simplify]: Simplify 1 into 1 0.606 * [backup-simplify]: Simplify (* 1 1) into 1 0.607 * [backup-simplify]: Simplify (/ 1 1) into 1 0.607 * [backup-simplify]: Simplify (* 3 1) into 3 0.608 * [backup-simplify]: Simplify (+ 0 3) into 3 0.608 * [taylor]: Taking taylor expansion of 3 in x 0.608 * [backup-simplify]: Simplify 3 into 3 0.608 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.610 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 0.610 * [backup-simplify]: Simplify (+ 0 0) into 0 0.610 * [taylor]: Taking taylor expansion of 0 in x 0.610 * [backup-simplify]: Simplify 0 into 0 0.611 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.613 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 0.613 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 0.613 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.613 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.613 * [taylor]: Taking taylor expansion of x in x 0.613 * [backup-simplify]: Simplify 0 into 0 0.613 * [backup-simplify]: Simplify 1 into 1 0.618 * [backup-simplify]: Simplify (* 1 1) into 1 0.619 * [backup-simplify]: Simplify (/ 1 1) into 1 0.619 * [backup-simplify]: Simplify 1 into 1 0.619 * [backup-simplify]: Simplify 3 into 3 0.619 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.619 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 0.620 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.621 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.622 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.623 * [backup-simplify]: Simplify (+ 0 0) into 0 0.623 * [taylor]: Taking taylor expansion of 0 in x 0.623 * [backup-simplify]: Simplify 0 into 0 0.623 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.624 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.624 * [backup-simplify]: Simplify 0 into 0 0.624 * [backup-simplify]: Simplify 0 into 0 0.624 * [backup-simplify]: Simplify 0 into 0 0.625 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 0.625 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 0.626 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.629 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.629 * [backup-simplify]: Simplify (+ 0 0) into 0 0.629 * [taylor]: Taking taylor expansion of 0 in x 0.629 * [backup-simplify]: Simplify 0 into 0 0.630 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.631 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.631 * [backup-simplify]: Simplify 0 into 0 0.631 * [backup-simplify]: Simplify 0 into 0 0.631 * [backup-simplify]: Simplify 0 into 0 0.631 * [backup-simplify]: Simplify (+ (* 3 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- x))) 1) 2))) into (+ (pow x 2) (* 3 (pow y 2))) 0.632 * * * [progress]: simplifying candidates 0.632 * [simplify]: Simplifying: (* (* 3 y) y) (* (* 3 y) y) (+ (+ (log 3) (log y)) (log y)) (+ (log (* 3 y)) (log y)) (log (* (* 3 y) y)) (exp (* (* 3 y) y)) (* (* (* (* 3 3) 3) (* (* y y) y)) (* (* y y) y)) (* (* (* (* 3 y) (* 3 y)) (* 3 y)) (* (* y y) y)) (* (cbrt (* (* 3 y) y)) (cbrt (* (* 3 y) y))) (cbrt (* (* 3 y) y)) (* (* (* (* 3 y) y) (* (* 3 y) y)) (* (* 3 y) y)) (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y)) (* (* 3 y) (* (cbrt y) (cbrt y))) (* (* 3 y) (sqrt y)) (* (* 3 y) 1) (* y y) (* (exp (* (* 3 y) y)) (exp (* x x))) (log (+ (* (* 3 y) y) (* x x))) (exp (+ (* (* 3 y) y) (* x x))) (* (cbrt (+ (* (* 3 y) y) (* x x))) (cbrt (+ (* (* 3 y) y) (* x x)))) (cbrt (+ (* (* 3 y) y) (* x x))) (* (* (+ (* (* 3 y) y) (* x x)) (+ (* (* 3 y) y) (* x x))) (+ (* (* 3 y) y) (* x x))) (sqrt (+ (* (* 3 y) y) (* x x))) (sqrt (+ (* (* 3 y) y) (* x x))) (+ (pow (* (* 3 y) y) 3) (pow (* x x) 3)) (+ (* (* (* 3 y) y) (* (* 3 y) y)) (- (* (* x x) (* x x)) (* (* (* 3 y) y) (* x x)))) (- (* (* (* 3 y) y) (* (* 3 y) y)) (* (* x x) (* x x))) (- (* (* 3 y) y) (* x x)) (* 3 (pow y 2)) (* 3 (pow y 2)) (* 3 (pow y 2)) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) 0.633 * [simplify]: Sending expressions to egg_math: (* (* 3 h0) h0) (* (* 3 h0) h0) (+ (+ (log 3) (log h0)) (log h0)) (+ (log (* 3 h0)) (log h0)) (log (* (* 3 h0) h0)) (exp (* (* 3 h0) h0)) (* (* (* (* 3 3) 3) (* (* h0 h0) h0)) (* (* h0 h0) h0)) (* (* (* (* 3 h0) (* 3 h0)) (* 3 h0)) (* (* h0 h0) h0)) (* (cbrt (* (* 3 h0) h0)) (cbrt (* (* 3 h0) h0))) (cbrt (* (* 3 h0) h0)) (* (* (* (* 3 h0) h0) (* (* 3 h0) h0)) (* (* 3 h0) h0)) (sqrt (* (* 3 h0) h0)) (sqrt (* (* 3 h0) h0)) (* (* 3 h0) (* (cbrt h0) (cbrt h0))) (* (* 3 h0) (sqrt h0)) (* (* 3 h0) 1) (* h0 h0) (* (exp (* (* 3 h0) h0)) (exp (* h1 h1))) (log (+ (* (* 3 h0) h0) (* h1 h1))) (exp (+ (* (* 3 h0) h0) (* h1 h1))) (* (cbrt (+ (* (* 3 h0) h0) (* h1 h1))) (cbrt (+ (* (* 3 h0) h0) (* h1 h1)))) (cbrt (+ (* (* 3 h0) h0) (* h1 h1))) (* (* (+ (* (* 3 h0) h0) (* h1 h1)) (+ (* (* 3 h0) h0) (* h1 h1))) (+ (* (* 3 h0) h0) (* h1 h1))) (sqrt (+ (* (* 3 h0) h0) (* h1 h1))) (sqrt (+ (* (* 3 h0) h0) (* h1 h1))) (+ (pow (* (* 3 h0) h0) 3) (pow (* h1 h1) 3)) (+ (* (* (* 3 h0) h0) (* (* 3 h0) h0)) (- (* (* h1 h1) (* h1 h1)) (* (* (* 3 h0) h0) (* h1 h1)))) (- (* (* (* 3 h0) h0) (* (* 3 h0) h0)) (* (* h1 h1) (* h1 h1))) (- (* (* 3 h0) h0) (* h1 h1)) (* 3 (pow h0 2)) (* 3 (pow h0 2)) (* 3 (pow h0 2)) (+ (pow h1 2) (* 3 (pow h0 2))) (+ (pow h1 2) (* 3 (pow h0 2))) (+ (pow h1 2) (* 3 (pow h0 2))) 0.727 * * * [progress]: adding candidates to table 0.811 * * [progress]: iteration 3 / 4 0.811 * * * [progress]: picking best candidate 0.826 * * * * [pick]: Picked # 0.826 * * * [progress]: localizing error 0.841 * * * [progress]: generating rewritten candidates 0.841 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.998 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 1.041 * * * [progress]: generating series expansions 1.041 * * * * [progress]: [ 1 / 2 ] generating series at (2) 1.042 * [backup-simplify]: Simplify (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) into (+ (pow x 2) (* 3 (pow y 2))) 1.042 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (x y) around 0 1.042 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 1.042 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.042 * [taylor]: Taking taylor expansion of x in y 1.042 * [backup-simplify]: Simplify x into x 1.042 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 1.042 * [taylor]: Taking taylor expansion of 3 in y 1.042 * [backup-simplify]: Simplify 3 into 3 1.042 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.042 * [taylor]: Taking taylor expansion of y in y 1.042 * [backup-simplify]: Simplify 0 into 0 1.042 * [backup-simplify]: Simplify 1 into 1 1.042 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 1.042 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.042 * [taylor]: Taking taylor expansion of x in x 1.042 * [backup-simplify]: Simplify 0 into 0 1.042 * [backup-simplify]: Simplify 1 into 1 1.042 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 1.042 * [taylor]: Taking taylor expansion of 3 in x 1.042 * [backup-simplify]: Simplify 3 into 3 1.042 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.042 * [taylor]: Taking taylor expansion of y in x 1.042 * [backup-simplify]: Simplify y into y 1.042 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 1.042 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.042 * [taylor]: Taking taylor expansion of x in x 1.042 * [backup-simplify]: Simplify 0 into 0 1.043 * [backup-simplify]: Simplify 1 into 1 1.043 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 1.043 * [taylor]: Taking taylor expansion of 3 in x 1.043 * [backup-simplify]: Simplify 3 into 3 1.043 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.043 * [taylor]: Taking taylor expansion of y in x 1.043 * [backup-simplify]: Simplify y into y 1.043 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.043 * [backup-simplify]: Simplify (* 3 (pow y 2)) into (* 3 (pow y 2)) 1.043 * [backup-simplify]: Simplify (+ 0 (* 3 (pow y 2))) into (* 3 (pow y 2)) 1.043 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 1.043 * [taylor]: Taking taylor expansion of 3 in y 1.043 * [backup-simplify]: Simplify 3 into 3 1.043 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.043 * [taylor]: Taking taylor expansion of y in y 1.043 * [backup-simplify]: Simplify 0 into 0 1.043 * [backup-simplify]: Simplify 1 into 1 1.044 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.044 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (pow y 2))) into 0 1.045 * [backup-simplify]: Simplify (+ 0 0) into 0 1.045 * [taylor]: Taking taylor expansion of 0 in y 1.045 * [backup-simplify]: Simplify 0 into 0 1.045 * [backup-simplify]: Simplify 0 into 0 1.045 * [backup-simplify]: Simplify (* 1 1) into 1 1.046 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.047 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 1.047 * [backup-simplify]: Simplify (+ 1 0) into 1 1.047 * [taylor]: Taking taylor expansion of 1 in y 1.048 * [backup-simplify]: Simplify 1 into 1 1.048 * [backup-simplify]: Simplify 1 into 1 1.048 * [backup-simplify]: Simplify 0 into 0 1.048 * [backup-simplify]: Simplify (* 1 1) into 1 1.048 * [backup-simplify]: Simplify (* 3 1) into 3 1.049 * [backup-simplify]: Simplify 3 into 3 1.049 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.050 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.051 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 1.052 * [backup-simplify]: Simplify (+ 0 0) into 0 1.052 * [taylor]: Taking taylor expansion of 0 in y 1.052 * [backup-simplify]: Simplify 0 into 0 1.052 * [backup-simplify]: Simplify 0 into 0 1.052 * [backup-simplify]: Simplify 0 into 0 1.052 * [backup-simplify]: Simplify 0 into 0 1.053 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.053 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 1.053 * [backup-simplify]: Simplify 0 into 0 1.054 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.055 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 1.057 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 1.057 * [backup-simplify]: Simplify (+ 0 0) into 0 1.057 * [taylor]: Taking taylor expansion of 0 in y 1.057 * [backup-simplify]: Simplify 0 into 0 1.057 * [backup-simplify]: Simplify 0 into 0 1.057 * [backup-simplify]: Simplify 0 into 0 1.058 * [backup-simplify]: Simplify (+ (* 3 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 3 (pow y 2))) 1.059 * [backup-simplify]: Simplify (+ (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 y) (/ 1 y))) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) 1.059 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 1.059 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 1.059 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.059 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.059 * [taylor]: Taking taylor expansion of x in y 1.059 * [backup-simplify]: Simplify x into x 1.059 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.059 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.059 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.059 * [taylor]: Taking taylor expansion of 3 in y 1.059 * [backup-simplify]: Simplify 3 into 3 1.059 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.059 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.059 * [taylor]: Taking taylor expansion of y in y 1.059 * [backup-simplify]: Simplify 0 into 0 1.059 * [backup-simplify]: Simplify 1 into 1 1.060 * [backup-simplify]: Simplify (* 1 1) into 1 1.060 * [backup-simplify]: Simplify (/ 1 1) into 1 1.060 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.060 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.060 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.060 * [taylor]: Taking taylor expansion of x in x 1.060 * [backup-simplify]: Simplify 0 into 0 1.060 * [backup-simplify]: Simplify 1 into 1 1.061 * [backup-simplify]: Simplify (* 1 1) into 1 1.061 * [backup-simplify]: Simplify (/ 1 1) into 1 1.061 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.061 * [taylor]: Taking taylor expansion of 3 in x 1.061 * [backup-simplify]: Simplify 3 into 3 1.061 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.061 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.061 * [taylor]: Taking taylor expansion of y in x 1.061 * [backup-simplify]: Simplify y into y 1.061 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.062 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.062 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.062 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.062 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.062 * [taylor]: Taking taylor expansion of x in x 1.062 * [backup-simplify]: Simplify 0 into 0 1.062 * [backup-simplify]: Simplify 1 into 1 1.062 * [backup-simplify]: Simplify (* 1 1) into 1 1.063 * [backup-simplify]: Simplify (/ 1 1) into 1 1.063 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.063 * [taylor]: Taking taylor expansion of 3 in x 1.063 * [backup-simplify]: Simplify 3 into 3 1.063 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.063 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.063 * [taylor]: Taking taylor expansion of y in x 1.063 * [backup-simplify]: Simplify y into y 1.063 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.063 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.064 * [backup-simplify]: Simplify (+ 1 0) into 1 1.064 * [taylor]: Taking taylor expansion of 1 in y 1.064 * [backup-simplify]: Simplify 1 into 1 1.064 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.065 * [backup-simplify]: Simplify (+ 0 0) into 0 1.065 * [taylor]: Taking taylor expansion of 0 in y 1.065 * [backup-simplify]: Simplify 0 into 0 1.066 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.067 * [backup-simplify]: Simplify (* 3 (/ 1 (pow y 2))) into (/ 3 (pow y 2)) 1.068 * [backup-simplify]: Simplify (+ 0 (/ 3 (pow y 2))) into (* 3 (/ 1 (pow y 2))) 1.068 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.068 * [taylor]: Taking taylor expansion of 3 in y 1.068 * [backup-simplify]: Simplify 3 into 3 1.068 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.068 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.068 * [taylor]: Taking taylor expansion of y in y 1.068 * [backup-simplify]: Simplify 0 into 0 1.068 * [backup-simplify]: Simplify 1 into 1 1.068 * [backup-simplify]: Simplify (* 1 1) into 1 1.069 * [backup-simplify]: Simplify (/ 1 1) into 1 1.069 * [backup-simplify]: Simplify (* 3 1) into 3 1.069 * [backup-simplify]: Simplify 3 into 3 1.069 * [backup-simplify]: Simplify 1 into 1 1.070 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.071 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.071 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.072 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (/ 1 (pow y 2)))) into 0 1.072 * [backup-simplify]: Simplify (+ 0 0) into 0 1.072 * [taylor]: Taking taylor expansion of 0 in y 1.072 * [backup-simplify]: Simplify 0 into 0 1.073 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.075 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 1.075 * [backup-simplify]: Simplify 0 into 0 1.075 * [backup-simplify]: Simplify 0 into 0 1.075 * [backup-simplify]: Simplify 0 into 0 1.076 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.077 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.078 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.079 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 1.082 * [backup-simplify]: Simplify (+ 0 0) into 0 1.082 * [taylor]: Taking taylor expansion of 0 in y 1.082 * [backup-simplify]: Simplify 0 into 0 1.083 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.085 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 1.085 * [backup-simplify]: Simplify 0 into 0 1.085 * [backup-simplify]: Simplify 0 into 0 1.085 * [backup-simplify]: Simplify 0 into 0 1.086 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 3 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (* 3 (pow y 2))) 1.087 * [backup-simplify]: Simplify (+ (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) 1.087 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 1.087 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 1.087 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.087 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.087 * [taylor]: Taking taylor expansion of x in y 1.087 * [backup-simplify]: Simplify x into x 1.087 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.087 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.087 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.087 * [taylor]: Taking taylor expansion of 3 in y 1.087 * [backup-simplify]: Simplify 3 into 3 1.087 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.087 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.087 * [taylor]: Taking taylor expansion of y in y 1.087 * [backup-simplify]: Simplify 0 into 0 1.087 * [backup-simplify]: Simplify 1 into 1 1.088 * [backup-simplify]: Simplify (* 1 1) into 1 1.088 * [backup-simplify]: Simplify (/ 1 1) into 1 1.088 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.088 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.088 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.088 * [taylor]: Taking taylor expansion of x in x 1.088 * [backup-simplify]: Simplify 0 into 0 1.088 * [backup-simplify]: Simplify 1 into 1 1.089 * [backup-simplify]: Simplify (* 1 1) into 1 1.089 * [backup-simplify]: Simplify (/ 1 1) into 1 1.089 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.089 * [taylor]: Taking taylor expansion of 3 in x 1.089 * [backup-simplify]: Simplify 3 into 3 1.089 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.089 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.089 * [taylor]: Taking taylor expansion of y in x 1.089 * [backup-simplify]: Simplify y into y 1.089 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.090 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.090 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 1.090 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.090 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.090 * [taylor]: Taking taylor expansion of x in x 1.090 * [backup-simplify]: Simplify 0 into 0 1.090 * [backup-simplify]: Simplify 1 into 1 1.090 * [backup-simplify]: Simplify (* 1 1) into 1 1.090 * [backup-simplify]: Simplify (/ 1 1) into 1 1.090 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 1.090 * [taylor]: Taking taylor expansion of 3 in x 1.091 * [backup-simplify]: Simplify 3 into 3 1.091 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.091 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.091 * [taylor]: Taking taylor expansion of y in x 1.091 * [backup-simplify]: Simplify y into y 1.091 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.091 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.091 * [backup-simplify]: Simplify (+ 1 0) into 1 1.091 * [taylor]: Taking taylor expansion of 1 in y 1.091 * [backup-simplify]: Simplify 1 into 1 1.092 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.093 * [backup-simplify]: Simplify (+ 0 0) into 0 1.093 * [taylor]: Taking taylor expansion of 0 in y 1.093 * [backup-simplify]: Simplify 0 into 0 1.094 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.095 * [backup-simplify]: Simplify (* 3 (/ 1 (pow y 2))) into (/ 3 (pow y 2)) 1.095 * [backup-simplify]: Simplify (+ 0 (/ 3 (pow y 2))) into (* 3 (/ 1 (pow y 2))) 1.096 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 1.096 * [taylor]: Taking taylor expansion of 3 in y 1.096 * [backup-simplify]: Simplify 3 into 3 1.096 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.096 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.096 * [taylor]: Taking taylor expansion of y in y 1.096 * [backup-simplify]: Simplify 0 into 0 1.096 * [backup-simplify]: Simplify 1 into 1 1.096 * [backup-simplify]: Simplify (* 1 1) into 1 1.097 * [backup-simplify]: Simplify (/ 1 1) into 1 1.097 * [backup-simplify]: Simplify (* 3 1) into 3 1.097 * [backup-simplify]: Simplify 3 into 3 1.097 * [backup-simplify]: Simplify 1 into 1 1.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.099 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.100 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.100 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (/ 1 (pow y 2)))) into 0 1.101 * [backup-simplify]: Simplify (+ 0 0) into 0 1.101 * [taylor]: Taking taylor expansion of 0 in y 1.101 * [backup-simplify]: Simplify 0 into 0 1.101 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.103 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 1.103 * [backup-simplify]: Simplify 0 into 0 1.103 * [backup-simplify]: Simplify 0 into 0 1.103 * [backup-simplify]: Simplify 0 into 0 1.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.105 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.106 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.107 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 1.107 * [backup-simplify]: Simplify (+ 0 0) into 0 1.107 * [taylor]: Taking taylor expansion of 0 in y 1.107 * [backup-simplify]: Simplify 0 into 0 1.108 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.110 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 1.110 * [backup-simplify]: Simplify 0 into 0 1.110 * [backup-simplify]: Simplify 0 into 0 1.110 * [backup-simplify]: Simplify 0 into 0 1.111 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 3 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (* 3 (pow y 2))) 1.111 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 1.111 * [backup-simplify]: Simplify (+ (+ (* x x) (* y y)) (* y y)) into (+ (pow x 2) (* 2 (pow y 2))) 1.111 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in (x y) around 0 1.111 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 1.111 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.111 * [taylor]: Taking taylor expansion of x in y 1.111 * [backup-simplify]: Simplify x into x 1.111 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 1.111 * [taylor]: Taking taylor expansion of 2 in y 1.111 * [backup-simplify]: Simplify 2 into 2 1.111 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.111 * [taylor]: Taking taylor expansion of y in y 1.112 * [backup-simplify]: Simplify 0 into 0 1.112 * [backup-simplify]: Simplify 1 into 1 1.112 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.112 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.112 * [taylor]: Taking taylor expansion of x in x 1.112 * [backup-simplify]: Simplify 0 into 0 1.112 * [backup-simplify]: Simplify 1 into 1 1.112 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.112 * [taylor]: Taking taylor expansion of 2 in x 1.112 * [backup-simplify]: Simplify 2 into 2 1.112 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.112 * [taylor]: Taking taylor expansion of y in x 1.112 * [backup-simplify]: Simplify y into y 1.112 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 1.112 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.112 * [taylor]: Taking taylor expansion of x in x 1.112 * [backup-simplify]: Simplify 0 into 0 1.112 * [backup-simplify]: Simplify 1 into 1 1.112 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 1.112 * [taylor]: Taking taylor expansion of 2 in x 1.112 * [backup-simplify]: Simplify 2 into 2 1.112 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.112 * [taylor]: Taking taylor expansion of y in x 1.112 * [backup-simplify]: Simplify y into y 1.112 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.112 * [backup-simplify]: Simplify (* 2 (pow y 2)) into (* 2 (pow y 2)) 1.113 * [backup-simplify]: Simplify (+ 0 (* 2 (pow y 2))) into (* 2 (pow y 2)) 1.113 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 1.113 * [taylor]: Taking taylor expansion of 2 in y 1.113 * [backup-simplify]: Simplify 2 into 2 1.113 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.113 * [taylor]: Taking taylor expansion of y in y 1.113 * [backup-simplify]: Simplify 0 into 0 1.113 * [backup-simplify]: Simplify 1 into 1 1.113 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.114 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow y 2))) into 0 1.114 * [backup-simplify]: Simplify (+ 0 0) into 0 1.114 * [taylor]: Taking taylor expansion of 0 in y 1.114 * [backup-simplify]: Simplify 0 into 0 1.114 * [backup-simplify]: Simplify 0 into 0 1.115 * [backup-simplify]: Simplify (* 1 1) into 1 1.115 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.116 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 1.117 * [backup-simplify]: Simplify (+ 1 0) into 1 1.117 * [taylor]: Taking taylor expansion of 1 in y 1.117 * [backup-simplify]: Simplify 1 into 1 1.117 * [backup-simplify]: Simplify 1 into 1 1.117 * [backup-simplify]: Simplify 0 into 0 1.117 * [backup-simplify]: Simplify (* 1 1) into 1 1.118 * [backup-simplify]: Simplify (* 2 1) into 2 1.118 * [backup-simplify]: Simplify 2 into 2 1.118 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.119 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.120 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 1.121 * [backup-simplify]: Simplify (+ 0 0) into 0 1.121 * [taylor]: Taking taylor expansion of 0 in y 1.121 * [backup-simplify]: Simplify 0 into 0 1.121 * [backup-simplify]: Simplify 0 into 0 1.121 * [backup-simplify]: Simplify 0 into 0 1.121 * [backup-simplify]: Simplify 0 into 0 1.121 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.122 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.122 * [backup-simplify]: Simplify 0 into 0 1.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.124 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 1.126 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 1.126 * [backup-simplify]: Simplify (+ 0 0) into 0 1.126 * [taylor]: Taking taylor expansion of 0 in y 1.126 * [backup-simplify]: Simplify 0 into 0 1.126 * [backup-simplify]: Simplify 0 into 0 1.126 * [backup-simplify]: Simplify 0 into 0 1.127 * [backup-simplify]: Simplify (+ (* 2 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 2 (pow y 2))) 1.127 * [backup-simplify]: Simplify (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) 1.127 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 1.127 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.127 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.127 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.127 * [taylor]: Taking taylor expansion of x in y 1.127 * [backup-simplify]: Simplify x into x 1.127 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.127 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.128 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.128 * [taylor]: Taking taylor expansion of 2 in y 1.128 * [backup-simplify]: Simplify 2 into 2 1.128 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.128 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.128 * [taylor]: Taking taylor expansion of y in y 1.128 * [backup-simplify]: Simplify 0 into 0 1.128 * [backup-simplify]: Simplify 1 into 1 1.128 * [backup-simplify]: Simplify (* 1 1) into 1 1.128 * [backup-simplify]: Simplify (/ 1 1) into 1 1.128 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.129 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.129 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.129 * [taylor]: Taking taylor expansion of x in x 1.129 * [backup-simplify]: Simplify 0 into 0 1.129 * [backup-simplify]: Simplify 1 into 1 1.129 * [backup-simplify]: Simplify (* 1 1) into 1 1.129 * [backup-simplify]: Simplify (/ 1 1) into 1 1.129 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.129 * [taylor]: Taking taylor expansion of 2 in x 1.129 * [backup-simplify]: Simplify 2 into 2 1.129 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.129 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.129 * [taylor]: Taking taylor expansion of y in x 1.130 * [backup-simplify]: Simplify y into y 1.130 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.130 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.130 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.130 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.130 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.130 * [taylor]: Taking taylor expansion of x in x 1.130 * [backup-simplify]: Simplify 0 into 0 1.130 * [backup-simplify]: Simplify 1 into 1 1.130 * [backup-simplify]: Simplify (* 1 1) into 1 1.131 * [backup-simplify]: Simplify (/ 1 1) into 1 1.131 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.131 * [taylor]: Taking taylor expansion of 2 in x 1.131 * [backup-simplify]: Simplify 2 into 2 1.131 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.131 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.131 * [taylor]: Taking taylor expansion of y in x 1.131 * [backup-simplify]: Simplify y into y 1.131 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.131 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.132 * [backup-simplify]: Simplify (+ 1 0) into 1 1.132 * [taylor]: Taking taylor expansion of 1 in y 1.132 * [backup-simplify]: Simplify 1 into 1 1.132 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.133 * [backup-simplify]: Simplify (+ 0 0) into 0 1.133 * [taylor]: Taking taylor expansion of 0 in y 1.133 * [backup-simplify]: Simplify 0 into 0 1.134 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.135 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2)) 1.136 * [backup-simplify]: Simplify (+ 0 (/ 2 (pow y 2))) into (* 2 (/ 1 (pow y 2))) 1.136 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.136 * [taylor]: Taking taylor expansion of 2 in y 1.136 * [backup-simplify]: Simplify 2 into 2 1.136 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.136 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.136 * [taylor]: Taking taylor expansion of y in y 1.136 * [backup-simplify]: Simplify 0 into 0 1.136 * [backup-simplify]: Simplify 1 into 1 1.136 * [backup-simplify]: Simplify (* 1 1) into 1 1.137 * [backup-simplify]: Simplify (/ 1 1) into 1 1.137 * [backup-simplify]: Simplify (* 2 1) into 2 1.137 * [backup-simplify]: Simplify 2 into 2 1.137 * [backup-simplify]: Simplify 1 into 1 1.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.139 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.139 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.140 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0 1.140 * [backup-simplify]: Simplify (+ 0 0) into 0 1.140 * [taylor]: Taking taylor expansion of 0 in y 1.140 * [backup-simplify]: Simplify 0 into 0 1.141 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.142 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.142 * [backup-simplify]: Simplify 0 into 0 1.142 * [backup-simplify]: Simplify 0 into 0 1.143 * [backup-simplify]: Simplify 0 into 0 1.144 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.145 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.146 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.146 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 1.147 * [backup-simplify]: Simplify (+ 0 0) into 0 1.147 * [taylor]: Taking taylor expansion of 0 in y 1.147 * [backup-simplify]: Simplify 0 into 0 1.148 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.150 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.150 * [backup-simplify]: Simplify 0 into 0 1.150 * [backup-simplify]: Simplify 0 into 0 1.150 * [backup-simplify]: Simplify 0 into 0 1.150 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 2 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (* 2 (pow y 2))) 1.151 * [backup-simplify]: Simplify (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) 1.151 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 1.151 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 1.151 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.151 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.151 * [taylor]: Taking taylor expansion of x in y 1.151 * [backup-simplify]: Simplify x into x 1.151 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.151 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.151 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.151 * [taylor]: Taking taylor expansion of 2 in y 1.151 * [backup-simplify]: Simplify 2 into 2 1.151 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.151 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.151 * [taylor]: Taking taylor expansion of y in y 1.151 * [backup-simplify]: Simplify 0 into 0 1.152 * [backup-simplify]: Simplify 1 into 1 1.152 * [backup-simplify]: Simplify (* 1 1) into 1 1.152 * [backup-simplify]: Simplify (/ 1 1) into 1 1.152 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.153 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.153 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.153 * [taylor]: Taking taylor expansion of x in x 1.153 * [backup-simplify]: Simplify 0 into 0 1.153 * [backup-simplify]: Simplify 1 into 1 1.153 * [backup-simplify]: Simplify (* 1 1) into 1 1.153 * [backup-simplify]: Simplify (/ 1 1) into 1 1.153 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.153 * [taylor]: Taking taylor expansion of 2 in x 1.153 * [backup-simplify]: Simplify 2 into 2 1.153 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.154 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.154 * [taylor]: Taking taylor expansion of y in x 1.154 * [backup-simplify]: Simplify y into y 1.154 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.154 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.154 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 1.154 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.154 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.154 * [taylor]: Taking taylor expansion of x in x 1.154 * [backup-simplify]: Simplify 0 into 0 1.154 * [backup-simplify]: Simplify 1 into 1 1.154 * [backup-simplify]: Simplify (* 1 1) into 1 1.155 * [backup-simplify]: Simplify (/ 1 1) into 1 1.155 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 1.155 * [taylor]: Taking taylor expansion of 2 in x 1.155 * [backup-simplify]: Simplify 2 into 2 1.155 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.155 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.155 * [taylor]: Taking taylor expansion of y in x 1.155 * [backup-simplify]: Simplify y into y 1.155 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.155 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.156 * [backup-simplify]: Simplify (+ 1 0) into 1 1.156 * [taylor]: Taking taylor expansion of 1 in y 1.156 * [backup-simplify]: Simplify 1 into 1 1.156 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.157 * [backup-simplify]: Simplify (+ 0 0) into 0 1.158 * [taylor]: Taking taylor expansion of 0 in y 1.158 * [backup-simplify]: Simplify 0 into 0 1.158 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.160 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2)) 1.160 * [backup-simplify]: Simplify (+ 0 (/ 2 (pow y 2))) into (* 2 (/ 1 (pow y 2))) 1.160 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.160 * [taylor]: Taking taylor expansion of 2 in y 1.160 * [backup-simplify]: Simplify 2 into 2 1.160 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.160 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.160 * [taylor]: Taking taylor expansion of y in y 1.160 * [backup-simplify]: Simplify 0 into 0 1.160 * [backup-simplify]: Simplify 1 into 1 1.160 * [backup-simplify]: Simplify (* 1 1) into 1 1.161 * [backup-simplify]: Simplify (/ 1 1) into 1 1.161 * [backup-simplify]: Simplify (* 2 1) into 2 1.161 * [backup-simplify]: Simplify 2 into 2 1.161 * [backup-simplify]: Simplify 1 into 1 1.162 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.163 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.164 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.164 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0 1.165 * [backup-simplify]: Simplify (+ 0 0) into 0 1.165 * [taylor]: Taking taylor expansion of 0 in y 1.165 * [backup-simplify]: Simplify 0 into 0 1.165 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.167 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.167 * [backup-simplify]: Simplify 0 into 0 1.167 * [backup-simplify]: Simplify 0 into 0 1.167 * [backup-simplify]: Simplify 0 into 0 1.168 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.169 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.170 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.171 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 1.171 * [backup-simplify]: Simplify (+ 0 0) into 0 1.171 * [taylor]: Taking taylor expansion of 0 in y 1.171 * [backup-simplify]: Simplify 0 into 0 1.172 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.174 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.174 * [backup-simplify]: Simplify 0 into 0 1.174 * [backup-simplify]: Simplify 0 into 0 1.174 * [backup-simplify]: Simplify 0 into 0 1.175 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 2 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (* 2 (pow y 2))) 1.175 * * * [progress]: simplifying candidates 1.176 * [simplify]: Simplifying: (* (* (* (exp (* x x)) (exp (* y y))) (exp (* y y))) (exp (* y y))) (* (* (exp (+ (* x x) (* y y))) (exp (* y y))) (exp (* y y))) (* (exp (+ (+ (* x x) (* y y)) (* y y))) (exp (* y y))) (log (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (exp (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (* (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (* (* (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (+ (pow (+ (+ (* x x) (* y y)) (* y y)) 3) (pow (* y y) 3)) (+ (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (- (* (* y y) (* y y)) (* (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (- (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (* (* y y) (* y y))) (- (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* y y) (* y y)) (* (* (exp (* x x)) (exp (* y y))) (exp (* y y))) (* (exp (+ (* x x) (* y y))) (exp (* y y))) (log (+ (+ (* x x) (* y y)) (* y y))) (exp (+ (+ (* x x) (* y y)) (* y y))) (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (+ (+ (* x x) (* y y)) (* y y))) (* (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3)) (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y)))) (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y))) (- (+ (* x x) (* y y)) (* y y)) (+ (* y y) (* y y)) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) (+ (pow x 2) (* 2 (pow y 2))) 1.176 * [simplify]: Sending expressions to egg_math: (* (* (* (exp (* h1 h1)) (exp (* h0 h0))) (exp (* h0 h0))) (exp (* h0 h0))) (* (* (exp (+ (* h1 h1) (* h0 h0))) (exp (* h0 h0))) (exp (* h0 h0))) (* (exp (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))) (exp (* h0 h0))) (log (+ (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) (* h0 h0))) (exp (+ (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) (* h0 h0))) (* (cbrt (+ (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) (* h0 h0))) (cbrt (+ (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) (* h0 h0)))) (cbrt (+ (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) (* h0 h0))) (* (* (+ (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) (* h0 h0)) (+ (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) (* h0 h0))) (+ (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) (* h0 h0))) (sqrt (+ (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) (* h0 h0))) (sqrt (+ (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) (* h0 h0))) (+ (pow (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) 3) (pow (* h0 h0) 3)) (+ (* (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))) (- (* (* h0 h0) (* h0 h0)) (* (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) (* h0 h0)))) (- (* (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))) (* (* h0 h0) (* h0 h0))) (- (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) (* h0 h0)) (+ (* h0 h0) (* h0 h0)) (* (* (exp (* h1 h1)) (exp (* h0 h0))) (exp (* h0 h0))) (* (exp (+ (* h1 h1) (* h0 h0))) (exp (* h0 h0))) (log (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))) (exp (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))) (* (cbrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))) (cbrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)))) (cbrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))) (* (* (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0)) (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))) (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))) (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))) (sqrt (+ (+ (* h1 h1) (* h0 h0)) (* h0 h0))) (+ (pow (+ (* h1 h1) (* h0 h0)) 3) (pow (* h0 h0) 3)) (+ (* (+ (* h1 h1) (* h0 h0)) (+ (* h1 h1) (* h0 h0))) (- (* (* h0 h0) (* h0 h0)) (* (+ (* h1 h1) (* h0 h0)) (* h0 h0)))) (- (* (+ (* h1 h1) (* h0 h0)) (+ (* h1 h1) (* h0 h0))) (* (* h0 h0) (* h0 h0))) (- (+ (* h1 h1) (* h0 h0)) (* h0 h0)) (+ (* h0 h0) (* h0 h0)) (+ (pow h1 2) (* 3 (pow h0 2))) (+ (pow h1 2) (* 3 (pow h0 2))) (+ (pow h1 2) (* 3 (pow h0 2))) (+ (pow h1 2) (* 2 (pow h0 2))) (+ (pow h1 2) (* 2 (pow h0 2))) (+ (pow h1 2) (* 2 (pow h0 2))) 1.313 * * * [progress]: adding candidates to table 1.382 * * [progress]: iteration 4 / 4 1.382 * * * [progress]: picking best candidate 1.399 * * * * [pick]: Picked # 1.399 * * * [progress]: localizing error 1.425 * * * [progress]: generating rewritten candidates 1.425 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 2) 1.464 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 1.554 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 1.678 * * * [progress]: generating series expansions 1.678 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 2) 1.679 * [backup-simplify]: Simplify (* (cbrt 3) (* y y)) into (* (cbrt 3) (pow y 2)) 1.679 * [approximate]: Taking taylor expansion of (* (cbrt 3) (pow y 2)) in (y) around 0 1.679 * [taylor]: Taking taylor expansion of (* (cbrt 3) (pow y 2)) in y 1.679 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.680 * [taylor]: Taking taylor expansion of 3 in y 1.680 * [backup-simplify]: Simplify 3 into 3 1.680 * [backup-simplify]: Simplify (cbrt 3) into (cbrt 3) 1.681 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 3))) into 0 1.681 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.681 * [taylor]: Taking taylor expansion of y in y 1.681 * [backup-simplify]: Simplify 0 into 0 1.681 * [backup-simplify]: Simplify 1 into 1 1.681 * [taylor]: Taking taylor expansion of (* (cbrt 3) (pow y 2)) in y 1.681 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.681 * [taylor]: Taking taylor expansion of 3 in y 1.681 * [backup-simplify]: Simplify 3 into 3 1.681 * [backup-simplify]: Simplify (cbrt 3) into (cbrt 3) 1.682 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 3))) into 0 1.682 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.682 * [taylor]: Taking taylor expansion of y in y 1.682 * [backup-simplify]: Simplify 0 into 0 1.682 * [backup-simplify]: Simplify 1 into 1 1.683 * [backup-simplify]: Simplify (* 1 1) into 1 1.683 * [backup-simplify]: Simplify (* (cbrt 3) 1) into (cbrt 3) 1.684 * [backup-simplify]: Simplify (cbrt 3) into (cbrt 3) 1.684 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.685 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (* 0 1)) into 0 1.685 * [backup-simplify]: Simplify 0 into 0 1.686 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.688 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt 3))))) (* 3 (cbrt 3))) into 0 1.688 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (* 0 1))) into 0 1.688 * [backup-simplify]: Simplify 0 into 0 1.689 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.689 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt 3))) into 0 1.690 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.690 * [backup-simplify]: Simplify 0 into 0 1.691 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.692 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt 3))))) (* 3 (cbrt 3))) into 0 1.693 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.693 * [backup-simplify]: Simplify 0 into 0 1.693 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.694 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt 3))) into 0 1.695 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.695 * [backup-simplify]: Simplify 0 into 0 1.696 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.697 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt 3))))) (* 3 (cbrt 3))) into 0 1.698 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.698 * [backup-simplify]: Simplify 0 into 0 1.698 * [backup-simplify]: Simplify (* (cbrt 3) (pow y 2)) into (* (cbrt 3) (pow y 2)) 1.698 * [backup-simplify]: Simplify (* (cbrt 3) (* (/ 1 y) (/ 1 y))) into (/ (cbrt 3) (pow y 2)) 1.698 * [approximate]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in (y) around 0 1.698 * [taylor]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in y 1.698 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.698 * [taylor]: Taking taylor expansion of 3 in y 1.698 * [backup-simplify]: Simplify 3 into 3 1.699 * [backup-simplify]: Simplify (cbrt 3) into (cbrt 3) 1.699 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 3))) into 0 1.699 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.699 * [taylor]: Taking taylor expansion of y in y 1.699 * [backup-simplify]: Simplify 0 into 0 1.699 * [backup-simplify]: Simplify 1 into 1 1.699 * [backup-simplify]: Simplify (* 1 1) into 1 1.700 * [backup-simplify]: Simplify (/ (cbrt 3) 1) into (cbrt 3) 1.700 * [taylor]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in y 1.700 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.700 * [taylor]: Taking taylor expansion of 3 in y 1.700 * [backup-simplify]: Simplify 3 into 3 1.700 * [backup-simplify]: Simplify (cbrt 3) into (cbrt 3) 1.701 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 3))) into 0 1.701 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.701 * [taylor]: Taking taylor expansion of y in y 1.701 * [backup-simplify]: Simplify 0 into 0 1.701 * [backup-simplify]: Simplify 1 into 1 1.701 * [backup-simplify]: Simplify (* 1 1) into 1 1.701 * [backup-simplify]: Simplify (/ (cbrt 3) 1) into (cbrt 3) 1.702 * [backup-simplify]: Simplify (cbrt 3) into (cbrt 3) 1.702 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.703 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt 3) (/ 0 1)))) into 0 1.703 * [backup-simplify]: Simplify 0 into 0 1.703 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt 3))))) (* 3 (cbrt 3))) into 0 1.704 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.705 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt 3) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.705 * [backup-simplify]: Simplify 0 into 0 1.705 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt 3))) into 0 1.706 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.707 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt 3) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.707 * [backup-simplify]: Simplify 0 into 0 1.708 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt 3))))) (* 3 (cbrt 3))) into 0 1.708 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.709 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt 3) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.709 * [backup-simplify]: Simplify 0 into 0 1.710 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt 3))) into 0 1.710 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.711 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt 3) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.711 * [backup-simplify]: Simplify 0 into 0 1.712 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt 3))))) (* 3 (cbrt 3))) into 0 1.713 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.713 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt 3) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.713 * [backup-simplify]: Simplify 0 into 0 1.714 * [backup-simplify]: Simplify (* (cbrt 3) (pow (/ 1 (/ 1 y)) 2)) into (* (cbrt 3) (pow y 2)) 1.714 * [backup-simplify]: Simplify (* (cbrt 3) (* (/ 1 (- y)) (/ 1 (- y)))) into (/ (cbrt 3) (pow y 2)) 1.714 * [approximate]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in (y) around 0 1.714 * [taylor]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in y 1.714 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.714 * [taylor]: Taking taylor expansion of 3 in y 1.714 * [backup-simplify]: Simplify 3 into 3 1.715 * [backup-simplify]: Simplify (cbrt 3) into (cbrt 3) 1.715 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 3))) into 0 1.715 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.715 * [taylor]: Taking taylor expansion of y in y 1.715 * [backup-simplify]: Simplify 0 into 0 1.715 * [backup-simplify]: Simplify 1 into 1 1.715 * [backup-simplify]: Simplify (* 1 1) into 1 1.716 * [backup-simplify]: Simplify (/ (cbrt 3) 1) into (cbrt 3) 1.716 * [taylor]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in y 1.716 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.716 * [taylor]: Taking taylor expansion of 3 in y 1.716 * [backup-simplify]: Simplify 3 into 3 1.716 * [backup-simplify]: Simplify (cbrt 3) into (cbrt 3) 1.717 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 3))) into 0 1.717 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.717 * [taylor]: Taking taylor expansion of y in y 1.717 * [backup-simplify]: Simplify 0 into 0 1.717 * [backup-simplify]: Simplify 1 into 1 1.717 * [backup-simplify]: Simplify (* 1 1) into 1 1.717 * [backup-simplify]: Simplify (/ (cbrt 3) 1) into (cbrt 3) 1.718 * [backup-simplify]: Simplify (cbrt 3) into (cbrt 3) 1.718 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.719 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt 3) (/ 0 1)))) into 0 1.719 * [backup-simplify]: Simplify 0 into 0 1.719 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt 3))))) (* 3 (cbrt 3))) into 0 1.720 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.721 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt 3) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.721 * [backup-simplify]: Simplify 0 into 0 1.721 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt 3))) into 0 1.722 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.722 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt 3) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.722 * [backup-simplify]: Simplify 0 into 0 1.726 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt 3))))) (* 3 (cbrt 3))) into 0 1.727 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.728 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt 3) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.728 * [backup-simplify]: Simplify 0 into 0 1.729 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt 3))) into 0 1.729 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.730 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt 3) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.730 * [backup-simplify]: Simplify 0 into 0 1.731 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt 3))))) (* 3 (cbrt 3))) into 0 1.732 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.732 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt 3) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.732 * [backup-simplify]: Simplify 0 into 0 1.733 * [backup-simplify]: Simplify (* (cbrt 3) (pow (/ 1 (/ 1 (- y))) 2)) into (* (cbrt 3) (pow y 2)) 1.733 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 1.734 * [backup-simplify]: Simplify (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) into (* (pow (cbrt 3) 3) (pow y 2)) 1.734 * [approximate]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in (y) around 0 1.734 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in y 1.734 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.734 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.734 * [taylor]: Taking taylor expansion of 3 in y 1.734 * [backup-simplify]: Simplify 3 into 3 1.734 * [backup-simplify]: Simplify (cbrt 3) into (cbrt 3) 1.735 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 3))) into 0 1.735 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.735 * [taylor]: Taking taylor expansion of y in y 1.735 * [backup-simplify]: Simplify 0 into 0 1.735 * [backup-simplify]: Simplify 1 into 1 1.735 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in y 1.735 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.735 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.735 * [taylor]: Taking taylor expansion of 3 in y 1.735 * [backup-simplify]: Simplify 3 into 3 1.735 * [backup-simplify]: Simplify (cbrt 3) into (cbrt 3) 1.736 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 3))) into 0 1.736 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.736 * [taylor]: Taking taylor expansion of y in y 1.736 * [backup-simplify]: Simplify 0 into 0 1.736 * [backup-simplify]: Simplify 1 into 1 1.736 * [backup-simplify]: Simplify (* (cbrt 3) (cbrt 3)) into (pow (cbrt 3) 2) 1.738 * [backup-simplify]: Simplify (* (cbrt 3) (pow (cbrt 3) 2)) into (pow (cbrt 3) 3) 1.738 * [backup-simplify]: Simplify (* 1 1) into 1 1.739 * [backup-simplify]: Simplify (* (pow (cbrt 3) 3) 1) into 3 1.739 * [backup-simplify]: Simplify 3 into 3 1.739 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.740 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (* 0 (cbrt 3))) into 0 1.740 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (* 0 (pow (cbrt 3) 2))) into 0 1.741 * [backup-simplify]: Simplify (+ (* (pow (cbrt 3) 3) 0) (* 0 1)) into 0 1.741 * [backup-simplify]: Simplify 0 into 0 1.741 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.742 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt 3))))) (* 3 (cbrt 3))) into 0 1.743 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (* 0 (cbrt 3)))) into 0 1.743 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (* 0 (pow (cbrt 3) 2)))) into 0 1.744 * [backup-simplify]: Simplify (+ (* (pow (cbrt 3) 3) 0) (+ (* 0 0) (* 0 1))) into 0 1.744 * [backup-simplify]: Simplify 0 into 0 1.745 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.745 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt 3))) into 0 1.746 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 3))))) into 0 1.747 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt 3) 2))))) into 0 1.748 * [backup-simplify]: Simplify (+ (* (pow (cbrt 3) 3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.748 * [backup-simplify]: Simplify 0 into 0 1.748 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.749 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt 3))))) (* 3 (cbrt 3))) into 0 1.750 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 3)))))) into 0 1.751 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt 3) 2)))))) into 0 1.752 * [backup-simplify]: Simplify (+ (* (pow (cbrt 3) 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.752 * [backup-simplify]: Simplify 0 into 0 1.752 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.753 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt 3))) into 0 1.754 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 3))))))) into 0 1.755 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt 3) 2))))))) into 0 1.756 * [backup-simplify]: Simplify (+ (* (pow (cbrt 3) 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.756 * [backup-simplify]: Simplify 0 into 0 1.757 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.758 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt 3))))) (* 3 (cbrt 3))) into 0 1.758 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 3)))))))) into 0 1.760 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt 3) 2)))))))) into 0 1.761 * [backup-simplify]: Simplify (+ (* (pow (cbrt 3) 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.761 * [backup-simplify]: Simplify 0 into 0 1.761 * [backup-simplify]: Simplify (* 3 (pow y 2)) into (* 3 (pow y 2)) 1.762 * [backup-simplify]: Simplify (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* (/ 1 y) (/ 1 y)))) into (/ (pow (cbrt 3) 3) (pow y 2)) 1.762 * [approximate]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in (y) around 0 1.762 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.762 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.762 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.762 * [taylor]: Taking taylor expansion of 3 in y 1.762 * [backup-simplify]: Simplify 3 into 3 1.762 * [backup-simplify]: Simplify (cbrt 3) into (cbrt 3) 1.763 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 3))) into 0 1.763 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.763 * [taylor]: Taking taylor expansion of y in y 1.763 * [backup-simplify]: Simplify 0 into 0 1.763 * [backup-simplify]: Simplify 1 into 1 1.764 * [backup-simplify]: Simplify (* (cbrt 3) (cbrt 3)) into (pow (cbrt 3) 2) 1.766 * [backup-simplify]: Simplify (* (cbrt 3) (pow (cbrt 3) 2)) into (pow (cbrt 3) 3) 1.766 * [backup-simplify]: Simplify (* 1 1) into 1 1.768 * [backup-simplify]: Simplify (/ (pow (cbrt 3) 3) 1) into 3 1.768 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.768 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.768 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.768 * [taylor]: Taking taylor expansion of 3 in y 1.768 * [backup-simplify]: Simplify 3 into 3 1.768 * [backup-simplify]: Simplify (cbrt 3) into (cbrt 3) 1.769 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 3))) into 0 1.769 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.769 * [taylor]: Taking taylor expansion of y in y 1.769 * [backup-simplify]: Simplify 0 into 0 1.769 * [backup-simplify]: Simplify 1 into 1 1.770 * [backup-simplify]: Simplify (* (cbrt 3) (cbrt 3)) into (pow (cbrt 3) 2) 1.773 * [backup-simplify]: Simplify (* (cbrt 3) (pow (cbrt 3) 2)) into (pow (cbrt 3) 3) 1.773 * [backup-simplify]: Simplify (* 1 1) into 1 1.774 * [backup-simplify]: Simplify (/ (pow (cbrt 3) 3) 1) into 3 1.775 * [backup-simplify]: Simplify 3 into 3 1.775 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (* 0 (cbrt 3))) into 0 1.776 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (* 0 (pow (cbrt 3) 2))) into 0 1.776 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.777 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)))) into 0 1.777 * [backup-simplify]: Simplify 0 into 0 1.778 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt 3))))) (* 3 (cbrt 3))) into 0 1.778 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (* 0 (cbrt 3)))) into 0 1.779 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (* 0 (pow (cbrt 3) 2)))) into 0 1.779 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.780 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.780 * [backup-simplify]: Simplify 0 into 0 1.781 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt 3))) into 0 1.781 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 3))))) into 0 1.782 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt 3) 2))))) into 0 1.783 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.783 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.783 * [backup-simplify]: Simplify 0 into 0 1.784 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt 3))))) (* 3 (cbrt 3))) into 0 1.785 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 3)))))) into 0 1.786 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt 3) 2)))))) into 0 1.787 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.788 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.788 * [backup-simplify]: Simplify 0 into 0 1.789 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt 3))) into 0 1.790 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 3))))))) into 0 1.791 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt 3) 2))))))) into 0 1.791 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.792 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.792 * [backup-simplify]: Simplify 0 into 0 1.793 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt 3))))) (* 3 (cbrt 3))) into 0 1.794 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 3)))))))) into 0 1.795 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt 3) 2)))))))) into 0 1.796 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.796 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.796 * [backup-simplify]: Simplify 0 into 0 1.796 * [backup-simplify]: Simplify (* 3 (pow (/ 1 (/ 1 y)) 2)) into (* 3 (pow y 2)) 1.797 * [backup-simplify]: Simplify (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* (/ 1 (- y)) (/ 1 (- y))))) into (/ (pow (cbrt 3) 3) (pow y 2)) 1.798 * [approximate]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in (y) around 0 1.798 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.798 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.798 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.798 * [taylor]: Taking taylor expansion of 3 in y 1.798 * [backup-simplify]: Simplify 3 into 3 1.798 * [backup-simplify]: Simplify (cbrt 3) into (cbrt 3) 1.798 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 3))) into 0 1.798 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.798 * [taylor]: Taking taylor expansion of y in y 1.798 * [backup-simplify]: Simplify 0 into 0 1.798 * [backup-simplify]: Simplify 1 into 1 1.799 * [backup-simplify]: Simplify (* (cbrt 3) (cbrt 3)) into (pow (cbrt 3) 2) 1.800 * [backup-simplify]: Simplify (* (cbrt 3) (pow (cbrt 3) 2)) into (pow (cbrt 3) 3) 1.801 * [backup-simplify]: Simplify (* 1 1) into 1 1.801 * [backup-simplify]: Simplify (/ (pow (cbrt 3) 3) 1) into 3 1.801 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.801 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.801 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.802 * [taylor]: Taking taylor expansion of 3 in y 1.802 * [backup-simplify]: Simplify 3 into 3 1.802 * [backup-simplify]: Simplify (cbrt 3) into (cbrt 3) 1.802 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 3))) into 0 1.802 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.802 * [taylor]: Taking taylor expansion of y in y 1.802 * [backup-simplify]: Simplify 0 into 0 1.802 * [backup-simplify]: Simplify 1 into 1 1.803 * [backup-simplify]: Simplify (* (cbrt 3) (cbrt 3)) into (pow (cbrt 3) 2) 1.804 * [backup-simplify]: Simplify (* (cbrt 3) (pow (cbrt 3) 2)) into (pow (cbrt 3) 3) 1.805 * [backup-simplify]: Simplify (* 1 1) into 1 1.806 * [backup-simplify]: Simplify (/ (pow (cbrt 3) 3) 1) into 3 1.806 * [backup-simplify]: Simplify 3 into 3 1.806 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (* 0 (cbrt 3))) into 0 1.807 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (* 0 (pow (cbrt 3) 2))) into 0 1.807 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.807 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)))) into 0 1.807 * [backup-simplify]: Simplify 0 into 0 1.808 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt 3))))) (* 3 (cbrt 3))) into 0 1.809 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (* 0 (cbrt 3)))) into 0 1.809 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (* 0 (pow (cbrt 3) 2)))) into 0 1.810 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.810 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.811 * [backup-simplify]: Simplify 0 into 0 1.811 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt 3))) into 0 1.812 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 3))))) into 0 1.813 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt 3) 2))))) into 0 1.813 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.814 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.814 * [backup-simplify]: Simplify 0 into 0 1.818 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt 3))))) (* 3 (cbrt 3))) into 0 1.819 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 3)))))) into 0 1.820 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt 3) 2)))))) into 0 1.820 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.821 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.821 * [backup-simplify]: Simplify 0 into 0 1.822 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt 3))) into 0 1.823 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 3))))))) into 0 1.824 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt 3) 2))))))) into 0 1.825 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.826 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.826 * [backup-simplify]: Simplify 0 into 0 1.828 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt 3))))) (* 3 (cbrt 3))) into 0 1.829 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 3)))))))) into 0 1.831 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt 3) 2)))))))) into 0 1.833 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1.834 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.834 * [backup-simplify]: Simplify 0 into 0 1.834 * [backup-simplify]: Simplify (* 3 (pow (/ 1 (/ 1 (- y))) 2)) into (* 3 (pow y 2)) 1.834 * * * * [progress]: [ 3 / 3 ] generating series at (2) 1.836 * [backup-simplify]: Simplify (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x)) into (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 2))) 1.836 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 2))) in (y x) around 0 1.836 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 2))) in x 1.836 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.836 * [taylor]: Taking taylor expansion of x in x 1.836 * [backup-simplify]: Simplify 0 into 0 1.836 * [backup-simplify]: Simplify 1 into 1 1.836 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in x 1.836 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in x 1.836 * [taylor]: Taking taylor expansion of (cbrt 3) in x 1.836 * [taylor]: Taking taylor expansion of 3 in x 1.836 * [backup-simplify]: Simplify 3 into 3 1.837 * [backup-simplify]: Simplify (cbrt 3) into (cbrt 3) 1.837 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 3))) into 0 1.837 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.837 * [taylor]: Taking taylor expansion of y in x 1.838 * [backup-simplify]: Simplify y into y 1.838 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 2))) in y 1.838 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.838 * [taylor]: Taking taylor expansion of x in y 1.838 * [backup-simplify]: Simplify x into x 1.838 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in y 1.838 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.838 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.838 * [taylor]: Taking taylor expansion of 3 in y 1.838 * [backup-simplify]: Simplify 3 into 3 1.838 * [backup-simplify]: Simplify (cbrt 3) into (cbrt 3) 1.839 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 3))) into 0 1.839 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.839 * [taylor]: Taking taylor expansion of y in y 1.839 * [backup-simplify]: Simplify 0 into 0 1.839 * [backup-simplify]: Simplify 1 into 1 1.839 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 2))) in y 1.839 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.839 * [taylor]: Taking taylor expansion of x in y 1.839 * [backup-simplify]: Simplify x into x 1.839 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in y 1.839 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.839 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.839 * [taylor]: Taking taylor expansion of 3 in y 1.839 * [backup-simplify]: Simplify 3 into 3 1.840 * [backup-simplify]: Simplify (cbrt 3) into (cbrt 3) 1.840 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 3))) into 0 1.840 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.840 * [taylor]: Taking taylor expansion of y in y 1.840 * [backup-simplify]: Simplify 0 into 0 1.840 * [backup-simplify]: Simplify 1 into 1 1.840 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.841 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 1.841 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.841 * [taylor]: Taking taylor expansion of x in x 1.841 * [backup-simplify]: Simplify 0 into 0 1.841 * [backup-simplify]: Simplify 1 into 1 1.841 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.841 * [backup-simplify]: Simplify (+ 0 0) into 0 1.841 * [taylor]: Taking taylor expansion of 0 in x 1.841 * [backup-simplify]: Simplify 0 into 0 1.841 * [backup-simplify]: Simplify 0 into 0 1.842 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 1.843 * [backup-simplify]: Simplify (* (cbrt 3) (cbrt 3)) into (pow (cbrt 3) 2) 1.845 * [backup-simplify]: Simplify (* (cbrt 3) (pow (cbrt 3) 2)) into (pow (cbrt 3) 3) 1.846 * [backup-simplify]: Simplify (* 1 1) into 1 1.847 * [backup-simplify]: Simplify (* (pow (cbrt 3) 3) 1) into 3 1.847 * [backup-simplify]: Simplify (+ 0 3) into 3 1.847 * [taylor]: Taking taylor expansion of 3 in x 1.848 * [backup-simplify]: Simplify 3 into 3 1.848 * [backup-simplify]: Simplify 3 into 3 1.848 * [backup-simplify]: Simplify 0 into 0 1.848 * [backup-simplify]: Simplify (* 1 1) into 1 1.848 * [backup-simplify]: Simplify 1 into 1 1.849 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 1.849 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.850 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (* 0 (cbrt 3))) into 0 1.851 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (* 0 (pow (cbrt 3) 2))) into 0 1.852 * [backup-simplify]: Simplify (+ (* (pow (cbrt 3) 3) 0) (* 0 1)) into 0 1.852 * [backup-simplify]: Simplify (+ 0 0) into 0 1.853 * [taylor]: Taking taylor expansion of 0 in x 1.853 * [backup-simplify]: Simplify 0 into 0 1.853 * [backup-simplify]: Simplify 0 into 0 1.853 * [backup-simplify]: Simplify 0 into 0 1.853 * [backup-simplify]: Simplify 0 into 0 1.853 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.853 * [backup-simplify]: Simplify 0 into 0 1.854 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 1.855 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.857 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt 3))))) (* 3 (cbrt 3))) into 0 1.858 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (* 0 (cbrt 3)))) into 0 1.859 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (* 0 (pow (cbrt 3) 2)))) into 0 1.860 * [backup-simplify]: Simplify (+ (* (pow (cbrt 3) 3) 0) (+ (* 0 0) (* 0 1))) into 0 1.860 * [backup-simplify]: Simplify (+ 0 0) into 0 1.860 * [taylor]: Taking taylor expansion of 0 in x 1.860 * [backup-simplify]: Simplify 0 into 0 1.860 * [backup-simplify]: Simplify 0 into 0 1.860 * [backup-simplify]: Simplify 0 into 0 1.861 * [backup-simplify]: Simplify (+ (* 1 (pow (* x 1) 2)) (* 3 (pow (* 1 y) 2))) into (+ (pow x 2) (* 3 (pow y 2))) 1.862 * [backup-simplify]: Simplify (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* (/ 1 y) (/ 1 y)))) (* (/ 1 x) (/ 1 x))) into (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) 1.862 * [approximate]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in (y x) around 0 1.862 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in x 1.862 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in x 1.862 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in x 1.862 * [taylor]: Taking taylor expansion of (cbrt 3) in x 1.862 * [taylor]: Taking taylor expansion of 3 in x 1.862 * [backup-simplify]: Simplify 3 into 3 1.862 * [backup-simplify]: Simplify (cbrt 3) into (cbrt 3) 1.862 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 3))) into 0 1.863 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.863 * [taylor]: Taking taylor expansion of y in x 1.863 * [backup-simplify]: Simplify y into y 1.863 * [backup-simplify]: Simplify (* (cbrt 3) (cbrt 3)) into (pow (cbrt 3) 2) 1.865 * [backup-simplify]: Simplify (* (cbrt 3) (pow (cbrt 3) 2)) into (pow (cbrt 3) 3) 1.865 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.865 * [backup-simplify]: Simplify (/ (pow (cbrt 3) 3) (pow y 2)) into (/ 3 (pow y 2)) 1.865 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.865 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.865 * [taylor]: Taking taylor expansion of x in x 1.865 * [backup-simplify]: Simplify 0 into 0 1.865 * [backup-simplify]: Simplify 1 into 1 1.866 * [backup-simplify]: Simplify (* 1 1) into 1 1.866 * [backup-simplify]: Simplify (/ 1 1) into 1 1.866 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in y 1.866 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.866 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.866 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.866 * [taylor]: Taking taylor expansion of 3 in y 1.866 * [backup-simplify]: Simplify 3 into 3 1.866 * [backup-simplify]: Simplify (cbrt 3) into (cbrt 3) 1.867 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 3))) into 0 1.867 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.867 * [taylor]: Taking taylor expansion of y in y 1.867 * [backup-simplify]: Simplify 0 into 0 1.867 * [backup-simplify]: Simplify 1 into 1 1.867 * [backup-simplify]: Simplify (* (cbrt 3) (cbrt 3)) into (pow (cbrt 3) 2) 1.869 * [backup-simplify]: Simplify (* (cbrt 3) (pow (cbrt 3) 2)) into (pow (cbrt 3) 3) 1.869 * [backup-simplify]: Simplify (* 1 1) into 1 1.870 * [backup-simplify]: Simplify (/ (pow (cbrt 3) 3) 1) into 3 1.870 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.870 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.870 * [taylor]: Taking taylor expansion of x in y 1.870 * [backup-simplify]: Simplify x into x 1.870 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.870 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.870 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in y 1.870 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.870 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.870 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.870 * [taylor]: Taking taylor expansion of 3 in y 1.870 * [backup-simplify]: Simplify 3 into 3 1.870 * [backup-simplify]: Simplify (cbrt 3) into (cbrt 3) 1.871 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 3))) into 0 1.871 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.871 * [taylor]: Taking taylor expansion of y in y 1.871 * [backup-simplify]: Simplify 0 into 0 1.871 * [backup-simplify]: Simplify 1 into 1 1.872 * [backup-simplify]: Simplify (* (cbrt 3) (cbrt 3)) into (pow (cbrt 3) 2) 1.873 * [backup-simplify]: Simplify (* (cbrt 3) (pow (cbrt 3) 2)) into (pow (cbrt 3) 3) 1.873 * [backup-simplify]: Simplify (* 1 1) into 1 1.874 * [backup-simplify]: Simplify (/ (pow (cbrt 3) 3) 1) into 3 1.874 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.874 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.874 * [taylor]: Taking taylor expansion of x in y 1.874 * [backup-simplify]: Simplify x into x 1.874 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.874 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.874 * [backup-simplify]: Simplify (+ 3 0) into 3 1.874 * [taylor]: Taking taylor expansion of 3 in x 1.874 * [backup-simplify]: Simplify 3 into 3 1.875 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (* 0 (cbrt 3))) into 0 1.875 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (* 0 (pow (cbrt 3) 2))) into 0 1.876 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.876 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)))) into 0 1.877 * [backup-simplify]: Simplify (+ 0 0) into 0 1.877 * [taylor]: Taking taylor expansion of 0 in x 1.877 * [backup-simplify]: Simplify 0 into 0 1.877 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt 3))))) (* 3 (cbrt 3))) into 0 1.878 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (* 0 (cbrt 3)))) into 0 1.879 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (* 0 (pow (cbrt 3) 2)))) into 0 1.879 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.880 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.880 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 1.880 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.880 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.880 * [taylor]: Taking taylor expansion of x in x 1.880 * [backup-simplify]: Simplify 0 into 0 1.880 * [backup-simplify]: Simplify 1 into 1 1.880 * [backup-simplify]: Simplify (* 1 1) into 1 1.880 * [backup-simplify]: Simplify (/ 1 1) into 1 1.880 * [backup-simplify]: Simplify 1 into 1 1.880 * [backup-simplify]: Simplify 3 into 3 1.881 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt 3))) into 0 1.882 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 3))))) into 0 1.883 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt 3) 2))))) into 0 1.883 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.884 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.884 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.884 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 1.884 * [backup-simplify]: Simplify (+ 0 0) into 0 1.884 * [taylor]: Taking taylor expansion of 0 in x 1.884 * [backup-simplify]: Simplify 0 into 0 1.885 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.885 * [backup-simplify]: Simplify 0 into 0 1.885 * [backup-simplify]: Simplify 0 into 0 1.885 * [backup-simplify]: Simplify 0 into 0 1.886 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt 3))))) (* 3 (cbrt 3))) into 0 1.887 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 3)))))) into 0 1.888 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt 3) 2)))))) into 0 1.888 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.889 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.889 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 1.890 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 1.890 * [backup-simplify]: Simplify (+ 0 0) into 0 1.890 * [taylor]: Taking taylor expansion of 0 in x 1.890 * [backup-simplify]: Simplify 0 into 0 1.890 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.891 * [backup-simplify]: Simplify 0 into 0 1.891 * [backup-simplify]: Simplify 0 into 0 1.891 * [backup-simplify]: Simplify 0 into 0 1.891 * [backup-simplify]: Simplify (+ (* 3 (pow (* 1 (/ 1 (/ 1 y))) 2)) (* 1 (pow (* (/ 1 (/ 1 x)) 1) 2))) into (+ (pow x 2) (* 3 (pow y 2))) 1.893 * [backup-simplify]: Simplify (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* (/ 1 (- y)) (/ 1 (- y))))) (* (/ 1 (- x)) (/ 1 (- x)))) into (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) 1.893 * [approximate]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in (y x) around 0 1.893 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in x 1.893 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in x 1.893 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in x 1.893 * [taylor]: Taking taylor expansion of (cbrt 3) in x 1.893 * [taylor]: Taking taylor expansion of 3 in x 1.893 * [backup-simplify]: Simplify 3 into 3 1.894 * [backup-simplify]: Simplify (cbrt 3) into (cbrt 3) 1.895 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 3))) into 0 1.895 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.895 * [taylor]: Taking taylor expansion of y in x 1.895 * [backup-simplify]: Simplify y into y 1.896 * [backup-simplify]: Simplify (* (cbrt 3) (cbrt 3)) into (pow (cbrt 3) 2) 1.898 * [backup-simplify]: Simplify (* (cbrt 3) (pow (cbrt 3) 2)) into (pow (cbrt 3) 3) 1.898 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.899 * [backup-simplify]: Simplify (/ (pow (cbrt 3) 3) (pow y 2)) into (/ 3 (pow y 2)) 1.899 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.899 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.899 * [taylor]: Taking taylor expansion of x in x 1.899 * [backup-simplify]: Simplify 0 into 0 1.899 * [backup-simplify]: Simplify 1 into 1 1.899 * [backup-simplify]: Simplify (* 1 1) into 1 1.900 * [backup-simplify]: Simplify (/ 1 1) into 1 1.900 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in y 1.900 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.900 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.900 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.900 * [taylor]: Taking taylor expansion of 3 in y 1.900 * [backup-simplify]: Simplify 3 into 3 1.900 * [backup-simplify]: Simplify (cbrt 3) into (cbrt 3) 1.901 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 3))) into 0 1.901 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.901 * [taylor]: Taking taylor expansion of y in y 1.901 * [backup-simplify]: Simplify 0 into 0 1.901 * [backup-simplify]: Simplify 1 into 1 1.902 * [backup-simplify]: Simplify (* (cbrt 3) (cbrt 3)) into (pow (cbrt 3) 2) 1.904 * [backup-simplify]: Simplify (* (cbrt 3) (pow (cbrt 3) 2)) into (pow (cbrt 3) 3) 1.905 * [backup-simplify]: Simplify (* 1 1) into 1 1.906 * [backup-simplify]: Simplify (/ (pow (cbrt 3) 3) 1) into 3 1.907 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.907 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.907 * [taylor]: Taking taylor expansion of x in y 1.907 * [backup-simplify]: Simplify x into x 1.907 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.907 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.907 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in y 1.907 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 1.907 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 1.907 * [taylor]: Taking taylor expansion of (cbrt 3) in y 1.907 * [taylor]: Taking taylor expansion of 3 in y 1.907 * [backup-simplify]: Simplify 3 into 3 1.908 * [backup-simplify]: Simplify (cbrt 3) into (cbrt 3) 1.908 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 3))) into 0 1.908 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.908 * [taylor]: Taking taylor expansion of y in y 1.908 * [backup-simplify]: Simplify 0 into 0 1.908 * [backup-simplify]: Simplify 1 into 1 1.909 * [backup-simplify]: Simplify (* (cbrt 3) (cbrt 3)) into (pow (cbrt 3) 2) 1.910 * [backup-simplify]: Simplify (* (cbrt 3) (pow (cbrt 3) 2)) into (pow (cbrt 3) 3) 1.910 * [backup-simplify]: Simplify (* 1 1) into 1 1.911 * [backup-simplify]: Simplify (/ (pow (cbrt 3) 3) 1) into 3 1.911 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.911 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.911 * [taylor]: Taking taylor expansion of x in y 1.911 * [backup-simplify]: Simplify x into x 1.911 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.912 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.912 * [backup-simplify]: Simplify (+ 3 0) into 3 1.912 * [taylor]: Taking taylor expansion of 3 in x 1.912 * [backup-simplify]: Simplify 3 into 3 1.912 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (* 0 (cbrt 3))) into 0 1.913 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (* 0 (pow (cbrt 3) 2))) into 0 1.913 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.914 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)))) into 0 1.914 * [backup-simplify]: Simplify (+ 0 0) into 0 1.914 * [taylor]: Taking taylor expansion of 0 in x 1.914 * [backup-simplify]: Simplify 0 into 0 1.915 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt 3))))) (* 3 (cbrt 3))) into 0 1.915 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (* 0 (cbrt 3)))) into 0 1.916 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (* 0 (pow (cbrt 3) 2)))) into 0 1.917 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.917 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.917 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 1.917 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.917 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.917 * [taylor]: Taking taylor expansion of x in x 1.918 * [backup-simplify]: Simplify 0 into 0 1.918 * [backup-simplify]: Simplify 1 into 1 1.918 * [backup-simplify]: Simplify (* 1 1) into 1 1.918 * [backup-simplify]: Simplify (/ 1 1) into 1 1.918 * [backup-simplify]: Simplify 1 into 1 1.918 * [backup-simplify]: Simplify 3 into 3 1.919 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt 3))) into 0 1.919 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 3))))) into 0 1.920 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt 3) 2))))) into 0 1.921 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.921 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.921 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.922 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 1.922 * [backup-simplify]: Simplify (+ 0 0) into 0 1.922 * [taylor]: Taking taylor expansion of 0 in x 1.922 * [backup-simplify]: Simplify 0 into 0 1.922 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.923 * [backup-simplify]: Simplify 0 into 0 1.923 * [backup-simplify]: Simplify 0 into 0 1.923 * [backup-simplify]: Simplify 0 into 0 1.927 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt 3))))) (* 3 (cbrt 3))) into 0 1.929 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 3)))))) into 0 1.929 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt 3) 2)))))) into 0 1.930 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.931 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.931 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 1.931 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 1.932 * [backup-simplify]: Simplify (+ 0 0) into 0 1.932 * [taylor]: Taking taylor expansion of 0 in x 1.932 * [backup-simplify]: Simplify 0 into 0 1.932 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.933 * [backup-simplify]: Simplify 0 into 0 1.933 * [backup-simplify]: Simplify 0 into 0 1.933 * [backup-simplify]: Simplify 0 into 0 1.933 * [backup-simplify]: Simplify (+ (* 3 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- x))) 1) 2))) into (+ (pow x 2) (* 3 (pow y 2))) 1.933 * * * [progress]: simplifying candidates 1.934 * [simplify]: Simplifying: (* (cbrt 3) (* y y)) (* (cbrt 3) (* y y)) (+ (log (cbrt 3)) (+ (log y) (log y))) (+ (log (cbrt 3)) (log (* y y))) (log (* (cbrt 3) (* y y))) (exp (* (cbrt 3) (* y y))) (* 3 (* (* (* y y) y) (* (* y y) y))) (* 3 (* (* (* y y) (* y y)) (* y y))) (* (cbrt (* (cbrt 3) (* y y))) (cbrt (* (cbrt 3) (* y y)))) (cbrt (* (cbrt 3) (* y y))) (* (* (* (cbrt 3) (* y y)) (* (cbrt 3) (* y y))) (* (cbrt 3) (* y y))) (sqrt (* (cbrt 3) (* y y))) (sqrt (* (cbrt 3) (* y y))) (* (cbrt (sqrt 3)) y) (* (cbrt (sqrt 3)) y) (* (sqrt (cbrt 3)) y) (* (sqrt (cbrt 3)) y) (* (cbrt 3) y) (* (cbrt (cbrt 3)) (* y y)) (* (cbrt (sqrt 3)) (* y y)) (* (cbrt 3) (* y y)) (* (cbrt (cbrt 3)) (* y y)) (* (sqrt (cbrt 3)) (* y y)) (* (cbrt 3) (* y y)) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (+ (+ (log (cbrt 3)) (log (cbrt 3))) (+ (log (cbrt 3)) (+ (log y) (log y)))) (+ (+ (log (cbrt 3)) (log (cbrt 3))) (+ (log (cbrt 3)) (log (* y y)))) (+ (+ (log (cbrt 3)) (log (cbrt 3))) (log (* (cbrt 3) (* y y)))) (+ (log (* (cbrt 3) (cbrt 3))) (+ (log (cbrt 3)) (+ (log y) (log y)))) (+ (log (* (cbrt 3) (cbrt 3))) (+ (log (cbrt 3)) (log (* y y)))) (+ (log (* (cbrt 3) (cbrt 3))) (log (* (cbrt 3) (* y y)))) (log (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (exp (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (* (* 3 3) (* 3 (* (* (* y y) y) (* (* y y) y)))) (* (* 3 3) (* 3 (* (* (* y y) (* y y)) (* y y)))) (* (* 3 3) (* (* (* (cbrt 3) (* y y)) (* (cbrt 3) (* y y))) (* (cbrt 3) (* y y)))) (* (* (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (cbrt 3))) (* (cbrt 3) (cbrt 3))) (* 3 (* (* (* y y) y) (* (* y y) y)))) (* (* (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (cbrt 3))) (* (cbrt 3) (cbrt 3))) (* 3 (* (* (* y y) (* y y)) (* y y)))) (* (* (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (cbrt 3))) (* (cbrt 3) (cbrt 3))) (* (* (* (cbrt 3) (* y y)) (* (cbrt 3) (* y y))) (* (cbrt 3) (* y y)))) (* (cbrt (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (cbrt (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))))) (cbrt (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (* (* (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (sqrt (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (sqrt (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (* (* (cbrt 3) (cbrt 3)) (cbrt 3)) (* (cbrt 3) (* (cbrt 3) (* y y))) (* (exp (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (exp (* x x))) (log (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))) (exp (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))) (* (cbrt (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))) (cbrt (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x)))) (cbrt (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))) (* (* (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x)) (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))) (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))) (sqrt (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))) (sqrt (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))) (+ (pow (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) 3) (pow (* x x) 3)) (+ (* (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (- (* (* x x) (* x x)) (* (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x)))) (- (* (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (* (* x x) (* x x))) (- (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x)) (* (cbrt 3) (pow y 2)) (* (cbrt 3) (pow y 2)) (* (cbrt 3) (pow y 2)) (* 3 (pow y 2)) (* 3 (pow y 2)) (* 3 (pow y 2)) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) (+ (pow x 2) (* 3 (pow y 2))) 1.934 * [simplify]: Sending expressions to egg_math: (* (cbrt 3) (* h0 h0)) (* (cbrt 3) (* h0 h0)) (+ (log (cbrt 3)) (+ (log h0) (log h0))) (+ (log (cbrt 3)) (log (* h0 h0))) (log (* (cbrt 3) (* h0 h0))) (exp (* (cbrt 3) (* h0 h0))) (* 3 (* (* (* h0 h0) h0) (* (* h0 h0) h0))) (* 3 (* (* (* h0 h0) (* h0 h0)) (* h0 h0))) (* (cbrt (* (cbrt 3) (* h0 h0))) (cbrt (* (cbrt 3) (* h0 h0)))) (cbrt (* (cbrt 3) (* h0 h0))) (* (* (* (cbrt 3) (* h0 h0)) (* (cbrt 3) (* h0 h0))) (* (cbrt 3) (* h0 h0))) (sqrt (* (cbrt 3) (* h0 h0))) (sqrt (* (cbrt 3) (* h0 h0))) (* (cbrt (sqrt 3)) h0) (* (cbrt (sqrt 3)) h0) (* (sqrt (cbrt 3)) h0) (* (sqrt (cbrt 3)) h0) (* (cbrt 3) h0) (* (cbrt (cbrt 3)) (* h0 h0)) (* (cbrt (sqrt 3)) (* h0 h0)) (* (cbrt 3) (* h0 h0)) (* (cbrt (cbrt 3)) (* h0 h0)) (* (sqrt (cbrt 3)) (* h0 h0)) (* (cbrt 3) (* h0 h0)) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* h0 h0))) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* h0 h0))) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* h0 h0))) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* h0 h0))) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* h0 h0))) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* h0 h0))) (+ (+ (log (cbrt 3)) (log (cbrt 3))) (+ (log (cbrt 3)) (+ (log h0) (log h0)))) (+ (+ (log (cbrt 3)) (log (cbrt 3))) (+ (log (cbrt 3)) (log (* h0 h0)))) (+ (+ (log (cbrt 3)) (log (cbrt 3))) (log (* (cbrt 3) (* h0 h0)))) (+ (log (* (cbrt 3) (cbrt 3))) (+ (log (cbrt 3)) (+ (log h0) (log h0)))) (+ (log (* (cbrt 3) (cbrt 3))) (+ (log (cbrt 3)) (log (* h0 h0)))) (+ (log (* (cbrt 3) (cbrt 3))) (log (* (cbrt 3) (* h0 h0)))) (log (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* h0 h0)))) (exp (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* h0 h0)))) (* (* 3 3) (* 3 (* (* (* h0 h0) h0) (* (* h0 h0) h0)))) (* (* 3 3) (* 3 (* (* (* h0 h0) (* h0 h0)) (* h0 h0)))) (* (* 3 3) (* (* (* (cbrt 3) (* h0 h0)) (* (cbrt 3) (* h0 h0))) (* (cbrt 3) (* h0 h0)))) (* (* (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (cbrt 3))) (* (cbrt 3) (cbrt 3))) (* 3 (* (* (* h0 h0) h0) (* (* h0 h0) h0)))) (* (* (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (cbrt 3))) (* (cbrt 3) (cbrt 3))) (* 3 (* (* (* h0 h0) (* h0 h0)) (* h0 h0)))) (* (* (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (cbrt 3))) (* (cbrt 3) (cbrt 3))) (* (* (* (cbrt 3) (* h0 h0)) (* (cbrt 3) (* h0 h0))) (* (cbrt 3) (* h0 h0)))) (* (cbrt (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* h0 h0)))) (cbrt (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* h0 h0))))) (cbrt (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* h0 h0)))) (* (* (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* h0 h0))) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* h0 h0)))) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* h0 h0)))) (sqrt (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* h0 h0)))) (sqrt (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* h0 h0)))) (* (* (cbrt 3) (cbrt 3)) (cbrt 3)) (* (cbrt 3) (* (cbrt 3) (* h0 h0))) (* (exp (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* h0 h0)))) (exp (* h1 h1))) (log (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* h0 h0))) (* h1 h1))) (exp (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* h0 h0))) (* h1 h1))) (* (cbrt (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* h0 h0))) (* h1 h1))) (cbrt (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* h0 h0))) (* h1 h1)))) (cbrt (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* h0 h0))) (* h1 h1))) (* (* (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* h0 h0))) (* h1 h1)) (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* h0 h0))) (* h1 h1))) (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* h0 h0))) (* h1 h1))) (sqrt (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* h0 h0))) (* h1 h1))) (sqrt (+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* h0 h0))) (* h1 h1))) (+ (pow (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* h0 h0))) 3) (pow (* h1 h1) 3)) (+ (* (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* h0 h0))) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* h0 h0)))) (- (* (* h1 h1) (* h1 h1)) (* (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* h0 h0))) (* h1 h1)))) (- (* (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* h0 h0))) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* h0 h0)))) (* (* h1 h1) (* h1 h1))) (- (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* h0 h0))) (* h1 h1)) (* (cbrt 3) (pow h0 2)) (* (cbrt 3) (pow h0 2)) (* (cbrt 3) (pow h0 2)) (* 3 (pow h0 2)) (* 3 (pow h0 2)) (* 3 (pow h0 2)) (+ (pow h1 2) (* 3 (pow h0 2))) (+ (pow h1 2) (* 3 (pow h0 2))) (+ (pow h1 2) (* 3 (pow h0 2))) 2.081 * * * [progress]: adding candidates to table 2.210 * [progress]: [Phase 3 of 3] Extracting. 2.210 * * [regime]: Finding splitpoints for: (# # # # # #) 2.211 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (* x x) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) y x) 2.211 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # #) 2.229 * * * * [regimes]: Trying to branch on (* y y) from (# # #) 2.249 * * * * [regimes]: Trying to branch on (* x x) from (# # # # # #) 2.283 * * * * [regimes]: Trying to branch on (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) from (# # # # # #) 2.322 * * * * [regimes]: Trying to branch on y from (# # # # # #) 2.358 * * * * [regimes]: Trying to branch on x from (# # # # # #) 2.381 * * * [regime]: Found split indices: #