64.601 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.040 * * * [progress]: [2/2] Setting up program. 0.041 * [progress]: [Phase 2 of 3] Improving. 0.042 * [simplify]: Simplifying: (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) 0.042 * * [simplify]: Extracting # 0 : cost 0 0.042 * * [simplify]: Extracting # 1 : cost 0 0.042 * * [simplify]: Extracting # 2 : cost 0 0.042 * * [simplify]: Extracting # 3 : cost 0 0.042 * * [simplify]: Extracting # 4 : cost 0 0.042 * * [simplify]: Extracting # 5 : cost 0 0.042 * * [simplify]: Extracting # 6 : cost 0 0.042 * * [simplify]: iteration 0 : 7 enodes (cost 15 ) 0.044 * * [simplify]: Extracting # 0 : cost 0 0.044 * * [simplify]: Extracting # 1 : cost 0 0.044 * * [simplify]: Extracting # 2 : cost 0 0.044 * * [simplify]: iteration 1 : 13 enodes (cost 15 ) 0.046 * * [simplify]: Extracting # 0 : cost 0 0.046 * * [simplify]: Extracting # 1 : cost 0 0.046 * * [simplify]: Extracting # 2 : cost 0 0.046 * * [simplify]: Extracting # 3 : cost 0 0.046 * * [simplify]: Extracting # 4 : cost 0 0.046 * * [simplify]: iteration 2 : 23 enodes (cost 13 ) 0.051 * * [simplify]: Extracting # 0 : cost 0 0.051 * * [simplify]: Extracting # 1 : cost 0 0.051 * * [simplify]: Extracting # 2 : cost 0 0.051 * * [simplify]: Extracting # 3 : cost 0 0.051 * * [simplify]: iteration 3 : 35 enodes (cost 9 ) 0.060 * * [simplify]: Extracting # 0 : cost 0 0.060 * * [simplify]: Extracting # 1 : cost 0 0.060 * * [simplify]: iteration 4 : 43 enodes (cost 9 ) 0.074 * * [simplify]: Extracting # 0 : cost 0 0.074 * * [simplify]: iteration 5 : 46 enodes (cost 9 ) 0.088 * * [simplify]: Extracting # 0 : cost 0 0.088 * * [simplify]: iteration done: 46 enodes (cost 9 ) 0.088 * [simplify]: Simplified to: (+ (* x x) (* 3 (* y y))) 0.092 * * [progress]: iteration 1 / 4 0.092 * * * [progress]: picking best candidate 0.096 * * * * [pick]: Picked # 0.096 * * * [progress]: localizing error 0.105 * * * [progress]: generating rewritten candidates 0.105 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.137 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.152 * * * [progress]: generating series expansions 0.152 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.152 * [backup-simplify]: Simplify (* 3 (* y y)) into (* 3 (pow y 2)) 0.152 * [approximate]: Taking taylor expansion of (* 3 (pow y 2)) in (y) around 0 0.152 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.152 * [taylor]: Taking taylor expansion of 3 in y 0.152 * [backup-simplify]: Simplify 3 into 3 0.152 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.152 * [taylor]: Taking taylor expansion of y in y 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify 1 into 1 0.152 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.153 * [taylor]: Taking taylor expansion of 3 in y 0.153 * [backup-simplify]: Simplify 3 into 3 0.153 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.153 * [taylor]: Taking taylor expansion of y in y 0.153 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify 1 into 1 0.153 * [backup-simplify]: Simplify (* 1 1) into 1 0.154 * [backup-simplify]: Simplify (* 3 1) into 3 0.154 * [backup-simplify]: Simplify 3 into 3 0.154 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.155 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.156 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 0.156 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.158 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.158 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.160 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.160 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.162 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.162 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.165 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify (* 3 (pow y 2)) into (* 3 (pow y 2)) 0.165 * [backup-simplify]: Simplify (* 3 (* (/ 1 y) (/ 1 y))) into (/ 3 (pow y 2)) 0.165 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.165 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.165 * [taylor]: Taking taylor expansion of 3 in y 0.165 * [backup-simplify]: Simplify 3 into 3 0.165 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.165 * [taylor]: Taking taylor expansion of y in y 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify 1 into 1 0.166 * [backup-simplify]: Simplify (* 1 1) into 1 0.166 * [backup-simplify]: Simplify (/ 3 1) into 3 0.166 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.166 * [taylor]: Taking taylor expansion of 3 in y 0.166 * [backup-simplify]: Simplify 3 into 3 0.166 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.166 * [taylor]: Taking taylor expansion of y in y 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 1 into 1 0.167 * [backup-simplify]: Simplify (* 1 1) into 1 0.167 * [backup-simplify]: Simplify (/ 3 1) into 3 0.167 * [backup-simplify]: Simplify 3 into 3 0.168 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.168 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)))) into 0 0.168 * [backup-simplify]: Simplify 0 into 0 0.169 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.169 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 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 0.170 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.170 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.172 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.172 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.173 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.173 * [backup-simplify]: Simplify 0 into 0 0.174 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.174 * [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 0.174 * [backup-simplify]: Simplify 0 into 0 0.175 * [backup-simplify]: Simplify (* 3 (pow (/ 1 (/ 1 y)) 2)) into (* 3 (pow y 2)) 0.175 * [backup-simplify]: Simplify (* 3 (* (/ 1 (- y)) (/ 1 (- y)))) into (/ 3 (pow y 2)) 0.175 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.175 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.175 * [taylor]: Taking taylor expansion of 3 in y 0.175 * [backup-simplify]: Simplify 3 into 3 0.175 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.175 * [taylor]: Taking taylor expansion of y in y 0.175 * [backup-simplify]: Simplify 0 into 0 0.175 * [backup-simplify]: Simplify 1 into 1 0.175 * [backup-simplify]: Simplify (* 1 1) into 1 0.175 * [backup-simplify]: Simplify (/ 3 1) into 3 0.175 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.175 * [taylor]: Taking taylor expansion of 3 in y 0.175 * [backup-simplify]: Simplify 3 into 3 0.175 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.175 * [taylor]: Taking taylor expansion of y in y 0.175 * [backup-simplify]: Simplify 0 into 0 0.175 * [backup-simplify]: Simplify 1 into 1 0.176 * [backup-simplify]: Simplify (* 1 1) into 1 0.176 * [backup-simplify]: Simplify (/ 3 1) into 3 0.176 * [backup-simplify]: Simplify 3 into 3 0.176 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.177 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)))) into 0 0.177 * [backup-simplify]: Simplify 0 into 0 0.177 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.178 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.178 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.179 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.179 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.180 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.180 * [backup-simplify]: Simplify 0 into 0 0.182 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.182 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.182 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.185 * [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 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify (* 3 (pow (/ 1 (/ 1 (- y))) 2)) into (* 3 (pow y 2)) 0.185 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.185 * [backup-simplify]: Simplify (+ (* x x) (* 3 (* y y))) into (+ (pow x 2) (* 3 (pow y 2))) 0.185 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (x y) around 0 0.185 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 0.185 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.185 * [taylor]: Taking taylor expansion of x in y 0.185 * [backup-simplify]: Simplify x into x 0.185 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.185 * [taylor]: Taking taylor expansion of 3 in y 0.185 * [backup-simplify]: Simplify 3 into 3 0.185 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.185 * [taylor]: Taking taylor expansion of y in y 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify 1 into 1 0.185 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.186 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.186 * [taylor]: Taking taylor expansion of x in x 0.186 * [backup-simplify]: Simplify 0 into 0 0.186 * [backup-simplify]: Simplify 1 into 1 0.186 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.186 * [taylor]: Taking taylor expansion of 3 in x 0.186 * [backup-simplify]: Simplify 3 into 3 0.186 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.186 * [taylor]: Taking taylor expansion of y in x 0.186 * [backup-simplify]: Simplify y into y 0.186 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 0.186 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.186 * [taylor]: Taking taylor expansion of x in x 0.186 * [backup-simplify]: Simplify 0 into 0 0.186 * [backup-simplify]: Simplify 1 into 1 0.186 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.186 * [taylor]: Taking taylor expansion of 3 in x 0.186 * [backup-simplify]: Simplify 3 into 3 0.186 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.186 * [taylor]: Taking taylor expansion of y in x 0.186 * [backup-simplify]: Simplify y into y 0.186 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.186 * [backup-simplify]: Simplify (* 3 (pow y 2)) into (* 3 (pow y 2)) 0.186 * [backup-simplify]: Simplify (+ 0 (* 3 (pow y 2))) into (* 3 (pow y 2)) 0.186 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.186 * [taylor]: Taking taylor expansion of 3 in y 0.186 * [backup-simplify]: Simplify 3 into 3 0.187 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.187 * [taylor]: Taking taylor expansion of y in y 0.187 * [backup-simplify]: Simplify 0 into 0 0.187 * [backup-simplify]: Simplify 1 into 1 0.187 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.187 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (pow y 2))) into 0 0.188 * [backup-simplify]: Simplify (+ 0 0) into 0 0.188 * [taylor]: Taking taylor expansion of 0 in y 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify (* 1 1) into 1 0.188 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.189 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 0.190 * [backup-simplify]: Simplify (+ 1 0) into 1 0.190 * [taylor]: Taking taylor expansion of 1 in y 0.190 * [backup-simplify]: Simplify 1 into 1 0.190 * [backup-simplify]: Simplify 1 into 1 0.190 * [backup-simplify]: Simplify 0 into 0 0.190 * [backup-simplify]: Simplify (* 1 1) into 1 0.190 * [backup-simplify]: Simplify (* 3 1) into 3 0.190 * [backup-simplify]: Simplify 3 into 3 0.191 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.192 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.193 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 0.193 * [backup-simplify]: Simplify (+ 0 0) into 0 0.193 * [taylor]: Taking taylor expansion of 0 in y 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.195 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.196 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.198 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 0.198 * [backup-simplify]: Simplify (+ 0 0) into 0 0.199 * [taylor]: Taking taylor expansion of 0 in y 0.199 * [backup-simplify]: Simplify 0 into 0 0.199 * [backup-simplify]: Simplify 0 into 0 0.199 * [backup-simplify]: Simplify 0 into 0 0.199 * [backup-simplify]: Simplify (+ (* 3 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 3 (pow y 2))) 0.199 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* 3 (* (/ 1 y) (/ 1 y)))) into (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) 0.199 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.199 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.199 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.199 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.199 * [taylor]: Taking taylor expansion of x in y 0.199 * [backup-simplify]: Simplify x into x 0.199 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.200 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.200 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.200 * [taylor]: Taking taylor expansion of 3 in y 0.200 * [backup-simplify]: Simplify 3 into 3 0.200 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.200 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.200 * [taylor]: Taking taylor expansion of y in y 0.200 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify 1 into 1 0.200 * [backup-simplify]: Simplify (* 1 1) into 1 0.200 * [backup-simplify]: Simplify (/ 1 1) into 1 0.200 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.201 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.201 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.201 * [taylor]: Taking taylor expansion of x in x 0.201 * [backup-simplify]: Simplify 0 into 0 0.201 * [backup-simplify]: Simplify 1 into 1 0.201 * [backup-simplify]: Simplify (* 1 1) into 1 0.201 * [backup-simplify]: Simplify (/ 1 1) into 1 0.201 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.201 * [taylor]: Taking taylor expansion of 3 in x 0.201 * [backup-simplify]: Simplify 3 into 3 0.201 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.201 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.201 * [taylor]: Taking taylor expansion of y in x 0.201 * [backup-simplify]: Simplify y into y 0.202 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.202 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.202 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.202 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.202 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.202 * [taylor]: Taking taylor expansion of x in x 0.202 * [backup-simplify]: Simplify 0 into 0 0.202 * [backup-simplify]: Simplify 1 into 1 0.202 * [backup-simplify]: Simplify (* 1 1) into 1 0.202 * [backup-simplify]: Simplify (/ 1 1) into 1 0.202 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.203 * [taylor]: Taking taylor expansion of 3 in x 0.203 * [backup-simplify]: Simplify 3 into 3 0.203 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.203 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.203 * [taylor]: Taking taylor expansion of y in x 0.203 * [backup-simplify]: Simplify y into y 0.203 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.203 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.203 * [backup-simplify]: Simplify (+ 1 0) into 1 0.203 * [taylor]: Taking taylor expansion of 1 in y 0.203 * [backup-simplify]: Simplify 1 into 1 0.204 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.205 * [backup-simplify]: Simplify (+ 0 0) into 0 0.205 * [taylor]: Taking taylor expansion of 0 in y 0.205 * [backup-simplify]: Simplify 0 into 0 0.206 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.206 * [backup-simplify]: Simplify (* 3 (/ 1 (pow y 2))) into (/ 3 (pow y 2)) 0.207 * [backup-simplify]: Simplify (+ 0 (/ 3 (pow y 2))) into (* 3 (/ 1 (pow y 2))) 0.207 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.207 * [taylor]: Taking taylor expansion of 3 in y 0.207 * [backup-simplify]: Simplify 3 into 3 0.207 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.207 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.207 * [taylor]: Taking taylor expansion of y in y 0.207 * [backup-simplify]: Simplify 0 into 0 0.207 * [backup-simplify]: Simplify 1 into 1 0.207 * [backup-simplify]: Simplify (* 1 1) into 1 0.207 * [backup-simplify]: Simplify (/ 1 1) into 1 0.208 * [backup-simplify]: Simplify (* 3 1) into 3 0.208 * [backup-simplify]: Simplify 3 into 3 0.208 * [backup-simplify]: Simplify 1 into 1 0.209 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.210 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.210 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.210 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (/ 1 (pow y 2)))) into 0 0.211 * [backup-simplify]: Simplify (+ 0 0) into 0 0.211 * [taylor]: Taking taylor expansion of 0 in y 0.211 * [backup-simplify]: Simplify 0 into 0 0.211 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.213 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 0.213 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify 0 into 0 0.214 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.215 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.216 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.217 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 0.217 * [backup-simplify]: Simplify (+ 0 0) into 0 0.217 * [taylor]: Taking taylor expansion of 0 in y 0.217 * [backup-simplify]: Simplify 0 into 0 0.218 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.219 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 0.219 * [backup-simplify]: Simplify 0 into 0 0.219 * [backup-simplify]: Simplify 0 into 0 0.219 * [backup-simplify]: Simplify 0 into 0 0.220 * [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))) 0.220 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* 3 (* (/ 1 (- y)) (/ 1 (- y))))) into (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) 0.220 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 0.220 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 0.220 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.221 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.221 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (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 (/ 1 (pow y 2)) in y 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 (* 1 1) into 1 0.221 * [backup-simplify]: Simplify (/ 1 1) into 1 0.221 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.221 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.221 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.221 * [taylor]: Taking taylor expansion of x in x 0.222 * [backup-simplify]: Simplify 0 into 0 0.222 * [backup-simplify]: Simplify 1 into 1 0.222 * [backup-simplify]: Simplify (* 1 1) into 1 0.222 * [backup-simplify]: Simplify (/ 1 1) into 1 0.222 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.222 * [taylor]: Taking taylor expansion of 3 in x 0.222 * [backup-simplify]: Simplify 3 into 3 0.222 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.222 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.222 * [taylor]: Taking taylor expansion of y in x 0.222 * [backup-simplify]: Simplify y into y 0.222 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.223 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.223 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 0.223 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.223 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.223 * [taylor]: Taking taylor expansion of x in x 0.223 * [backup-simplify]: Simplify 0 into 0 0.223 * [backup-simplify]: Simplify 1 into 1 0.223 * [backup-simplify]: Simplify (* 1 1) into 1 0.223 * [backup-simplify]: Simplify (/ 1 1) into 1 0.223 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.223 * [taylor]: Taking taylor expansion of 3 in x 0.223 * [backup-simplify]: Simplify 3 into 3 0.223 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.224 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.224 * [taylor]: Taking taylor expansion of y in x 0.224 * [backup-simplify]: Simplify y into y 0.224 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.224 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.224 * [backup-simplify]: Simplify (+ 1 0) into 1 0.224 * [taylor]: Taking taylor expansion of 1 in y 0.224 * [backup-simplify]: Simplify 1 into 1 0.225 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.226 * [backup-simplify]: Simplify (+ 0 0) into 0 0.226 * [taylor]: Taking taylor expansion of 0 in y 0.226 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.227 * [backup-simplify]: Simplify (* 3 (/ 1 (pow y 2))) into (/ 3 (pow y 2)) 0.228 * [backup-simplify]: Simplify (+ 0 (/ 3 (pow y 2))) into (* 3 (/ 1 (pow y 2))) 0.228 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.228 * [taylor]: Taking taylor expansion of 3 in y 0.228 * [backup-simplify]: Simplify 3 into 3 0.228 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.228 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.228 * [taylor]: Taking taylor expansion of y in y 0.228 * [backup-simplify]: Simplify 0 into 0 0.228 * [backup-simplify]: Simplify 1 into 1 0.228 * [backup-simplify]: Simplify (* 1 1) into 1 0.228 * [backup-simplify]: Simplify (/ 1 1) into 1 0.229 * [backup-simplify]: Simplify (* 3 1) into 3 0.229 * [backup-simplify]: Simplify 3 into 3 0.229 * [backup-simplify]: Simplify 1 into 1 0.230 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.231 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.231 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.232 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (/ 1 (pow y 2)))) into 0 0.232 * [backup-simplify]: Simplify (+ 0 0) into 0 0.232 * [taylor]: Taking taylor expansion of 0 in y 0.232 * [backup-simplify]: Simplify 0 into 0 0.233 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.234 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 0.234 * [backup-simplify]: Simplify 0 into 0 0.234 * [backup-simplify]: Simplify 0 into 0 0.234 * [backup-simplify]: Simplify 0 into 0 0.235 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.236 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.236 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.237 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 0.238 * [backup-simplify]: Simplify (+ 0 0) into 0 0.238 * [taylor]: Taking taylor expansion of 0 in y 0.238 * [backup-simplify]: Simplify 0 into 0 0.238 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.240 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 0.240 * [backup-simplify]: Simplify 0 into 0 0.240 * [backup-simplify]: Simplify 0 into 0 0.240 * [backup-simplify]: Simplify 0 into 0 0.241 * [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))) 0.241 * * * [progress]: simplifying candidates 0.241 * [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 (* x x)) (exp (* 3 (* y y)))) (log (+ (* x x) (* 3 (* y y)))) (exp (+ (* x x) (* 3 (* y y)))) (* (cbrt (+ (* x x) (* 3 (* y y)))) (cbrt (+ (* x x) (* 3 (* y y))))) (cbrt (+ (* x x) (* 3 (* y y)))) (* (* (+ (* x x) (* 3 (* y y))) (+ (* x x) (* 3 (* y y)))) (+ (* x x) (* 3 (* y y)))) (sqrt (+ (* x x) (* 3 (* y y)))) (sqrt (+ (* x x) (* 3 (* y y)))) (+ (pow (* x x) 3) (pow (* 3 (* y y)) 3)) (+ (* (* x x) (* x x)) (- (* (* 3 (* y y)) (* 3 (* y y))) (* (* x x) (* 3 (* y y))))) (- (* (* x x) (* x x)) (* (* 3 (* y y)) (* 3 (* y y)))) (- (* x x) (* 3 (* y y))) (* 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))) 0.242 * * [simplify]: Extracting # 0 : cost 0 0.243 * * [simplify]: Extracting # 1 : cost 0 0.243 * * [simplify]: Extracting # 2 : cost 0 0.243 * * [simplify]: Extracting # 3 : cost 0 0.243 * * [simplify]: Extracting # 4 : cost 0 0.243 * * [simplify]: Extracting # 5 : cost 0 0.243 * * [simplify]: Extracting # 6 : cost 0 0.243 * * [simplify]: iteration 0 : 57 enodes (cost 370 ) 0.271 * * [simplify]: Extracting # 0 : cost 0 0.271 * * [simplify]: Extracting # 1 : cost 0 0.271 * * [simplify]: Extracting # 2 : cost 0 0.272 * * [simplify]: Extracting # 3 : cost 0 0.272 * * [simplify]: Extracting # 4 : cost 0 0.272 * * [simplify]: iteration 1 : 157 enodes (cost 340 ) 0.355 * * [simplify]: Extracting # 0 : cost 0 0.356 * * [simplify]: Extracting # 1 : cost 0 0.356 * * [simplify]: Extracting # 2 : cost 0 0.357 * * [simplify]: Extracting # 3 : cost 0 0.357 * * [simplify]: Extracting # 4 : cost 0 0.357 * * [simplify]: iteration 2 : 476 enodes (cost 296 ) 0.613 * * [simplify]: Extracting # 0 : cost 0 0.614 * * [simplify]: Extracting # 1 : cost 0 0.616 * * [simplify]: Extracting # 2 : cost 0 0.620 * * [simplify]: Extracting # 3 : cost 0 0.621 * * [simplify]: Extracting # 4 : cost 0 0.622 * * [simplify]: iteration 3 : 1346 enodes (cost 288 ) 1.877 * * [simplify]: Extracting # 0 : cost 0 1.893 * * [simplify]: Extracting # 1 : cost 0 1.899 * * [simplify]: Extracting # 2 : cost 0 1.905 * * [simplify]: Extracting # 3 : cost 0 1.910 * * [simplify]: Extracting # 4 : cost 0 1.916 * * [simplify]: iteration 4 : 3542 enodes (cost 288 ) 3.960 * * [simplify]: Extracting # 0 : cost 0 3.975 * * [simplify]: Extracting # 1 : cost 0 3.985 * * [simplify]: Extracting # 2 : cost 0 3.994 * * [simplify]: Extracting # 3 : cost 0 4.003 * * [simplify]: Extracting # 4 : cost 0 4.011 * * [simplify]: iteration done: 5000 enodes (cost 288 ) 4.012 * [simplify]: Simplified to: (* 3 (* y y)) (* 3 (* y y)) (log (* 3 (* y y))) (log (* 3 (* y y))) (log (* 3 (* y y))) (exp (* 3 (* y y))) (* (pow y 6) 27) (* (pow y 6) 27) (* (cbrt (* 3 (* y y))) (cbrt (* 3 (* y y)))) (cbrt (* 3 (* y y))) (* (pow y 6) 27) (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 (+ (* x x) (* 3 (* y y)))) (log (+ (* x x) (* 3 (* y y)))) (exp (+ (* x x) (* 3 (* y y)))) (* (cbrt (+ (* x x) (* 3 (* y y)))) (cbrt (+ (* x x) (* 3 (* y y))))) (cbrt (+ (* x x) (* 3 (* y y)))) (pow (+ (* x x) (* 3 (* y y))) 3) (sqrt (+ (* x x) (* 3 (* y y)))) (sqrt (+ (* x x) (* 3 (* y y)))) (+ (* (pow y 6) 27) (pow x 6)) (+ (* (* 3 (* y y)) (- (* 3 (* y y)) (* x x))) (pow x 4)) (+ (* -9 (pow y 4)) (pow x 4)) (- (* x x) (* 3 (* y y))) (* 3 (* y y)) (* 3 (* y y)) (* 3 (* y y)) (+ (* x x) (* 3 (* y y))) (+ (* x x) (* 3 (* y y))) (+ (* x x) (* 3 (* y y))) 4.012 * * * [progress]: adding candidates to table 4.123 * * [progress]: iteration 2 / 4 4.123 * * * [progress]: picking best candidate 4.141 * * * * [pick]: Picked # 4.141 * * * [progress]: localizing error 4.154 * * * [progress]: generating rewritten candidates 4.154 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 4.187 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 4.197 * * * [progress]: generating series expansions 4.197 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 4.197 * [backup-simplify]: Simplify (* (* 3 y) y) into (* 3 (pow y 2)) 4.197 * [approximate]: Taking taylor expansion of (* 3 (pow y 2)) in (y) around 0 4.197 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 4.197 * [taylor]: Taking taylor expansion of 3 in y 4.197 * [backup-simplify]: Simplify 3 into 3 4.197 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.197 * [taylor]: Taking taylor expansion of y in y 4.198 * [backup-simplify]: Simplify 0 into 0 4.198 * [backup-simplify]: Simplify 1 into 1 4.198 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 4.198 * [taylor]: Taking taylor expansion of 3 in y 4.198 * [backup-simplify]: Simplify 3 into 3 4.198 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.198 * [taylor]: Taking taylor expansion of y in y 4.198 * [backup-simplify]: Simplify 0 into 0 4.198 * [backup-simplify]: Simplify 1 into 1 4.198 * [backup-simplify]: Simplify (* 1 1) into 1 4.199 * [backup-simplify]: Simplify (* 3 1) into 3 4.199 * [backup-simplify]: Simplify 3 into 3 4.199 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.200 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 4.200 * [backup-simplify]: Simplify 0 into 0 4.200 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.201 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 4.201 * [backup-simplify]: Simplify 0 into 0 4.202 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.202 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.202 * [backup-simplify]: Simplify 0 into 0 4.203 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.204 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.204 * [backup-simplify]: Simplify 0 into 0 4.205 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.206 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.206 * [backup-simplify]: Simplify 0 into 0 4.206 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.207 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.208 * [backup-simplify]: Simplify 0 into 0 4.208 * [backup-simplify]: Simplify (* 3 (pow y 2)) into (* 3 (pow y 2)) 4.208 * [backup-simplify]: Simplify (* (* 3 (/ 1 y)) (/ 1 y)) into (/ 3 (pow y 2)) 4.208 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 4.208 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 4.208 * [taylor]: Taking taylor expansion of 3 in y 4.208 * [backup-simplify]: Simplify 3 into 3 4.208 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.208 * [taylor]: Taking taylor expansion of y in y 4.208 * [backup-simplify]: Simplify 0 into 0 4.208 * [backup-simplify]: Simplify 1 into 1 4.208 * [backup-simplify]: Simplify (* 1 1) into 1 4.209 * [backup-simplify]: Simplify (/ 3 1) into 3 4.209 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 4.209 * [taylor]: Taking taylor expansion of 3 in y 4.209 * [backup-simplify]: Simplify 3 into 3 4.209 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.209 * [taylor]: Taking taylor expansion of y in y 4.209 * [backup-simplify]: Simplify 0 into 0 4.209 * [backup-simplify]: Simplify 1 into 1 4.209 * [backup-simplify]: Simplify (* 1 1) into 1 4.209 * [backup-simplify]: Simplify (/ 3 1) into 3 4.209 * [backup-simplify]: Simplify 3 into 3 4.210 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.210 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)))) into 0 4.210 * [backup-simplify]: Simplify 0 into 0 4.211 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.211 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.211 * [backup-simplify]: Simplify 0 into 0 4.212 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.213 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.213 * [backup-simplify]: Simplify 0 into 0 4.213 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.214 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.214 * [backup-simplify]: Simplify 0 into 0 4.215 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.215 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.215 * [backup-simplify]: Simplify 0 into 0 4.216 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.217 * [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 4.217 * [backup-simplify]: Simplify 0 into 0 4.217 * [backup-simplify]: Simplify (* 3 (pow (/ 1 (/ 1 y)) 2)) into (* 3 (pow y 2)) 4.217 * [backup-simplify]: Simplify (* (* 3 (/ 1 (- y))) (/ 1 (- y))) into (/ 3 (pow y 2)) 4.217 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 4.218 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 4.218 * [taylor]: Taking taylor expansion of 3 in y 4.218 * [backup-simplify]: Simplify 3 into 3 4.218 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.218 * [taylor]: Taking taylor expansion of y in y 4.218 * [backup-simplify]: Simplify 0 into 0 4.218 * [backup-simplify]: Simplify 1 into 1 4.218 * [backup-simplify]: Simplify (* 1 1) into 1 4.219 * [backup-simplify]: Simplify (/ 3 1) into 3 4.219 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 4.219 * [taylor]: Taking taylor expansion of 3 in y 4.219 * [backup-simplify]: Simplify 3 into 3 4.219 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.219 * [taylor]: Taking taylor expansion of y in y 4.219 * [backup-simplify]: Simplify 0 into 0 4.219 * [backup-simplify]: Simplify 1 into 1 4.219 * [backup-simplify]: Simplify (* 1 1) into 1 4.220 * [backup-simplify]: Simplify (/ 3 1) into 3 4.220 * [backup-simplify]: Simplify 3 into 3 4.220 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.221 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)))) into 0 4.221 * [backup-simplify]: Simplify 0 into 0 4.222 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.223 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.223 * [backup-simplify]: Simplify 0 into 0 4.224 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.225 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.226 * [backup-simplify]: Simplify 0 into 0 4.227 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.228 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.228 * [backup-simplify]: Simplify 0 into 0 4.229 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.230 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.230 * [backup-simplify]: Simplify 0 into 0 4.232 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 4.233 * [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 4.233 * [backup-simplify]: Simplify 0 into 0 4.233 * [backup-simplify]: Simplify (* 3 (pow (/ 1 (/ 1 (- y))) 2)) into (* 3 (pow y 2)) 4.233 * * * * [progress]: [ 2 / 2 ] generating series at (2) 4.233 * [backup-simplify]: Simplify (+ (* x x) (* (* 3 y) y)) into (+ (pow x 2) (* 3 (pow y 2))) 4.233 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (x y) around 0 4.233 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 4.234 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.234 * [taylor]: Taking taylor expansion of x in y 4.234 * [backup-simplify]: Simplify x into x 4.234 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 4.234 * [taylor]: Taking taylor expansion of 3 in y 4.234 * [backup-simplify]: Simplify 3 into 3 4.234 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.234 * [taylor]: Taking taylor expansion of y in y 4.234 * [backup-simplify]: Simplify 0 into 0 4.234 * [backup-simplify]: Simplify 1 into 1 4.234 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 4.234 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.234 * [taylor]: Taking taylor expansion of x in x 4.234 * [backup-simplify]: Simplify 0 into 0 4.234 * [backup-simplify]: Simplify 1 into 1 4.234 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 4.234 * [taylor]: Taking taylor expansion of 3 in x 4.234 * [backup-simplify]: Simplify 3 into 3 4.234 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.234 * [taylor]: Taking taylor expansion of y in x 4.234 * [backup-simplify]: Simplify y into y 4.234 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 4.234 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.234 * [taylor]: Taking taylor expansion of x in x 4.234 * [backup-simplify]: Simplify 0 into 0 4.234 * [backup-simplify]: Simplify 1 into 1 4.234 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 4.234 * [taylor]: Taking taylor expansion of 3 in x 4.234 * [backup-simplify]: Simplify 3 into 3 4.234 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.234 * [taylor]: Taking taylor expansion of y in x 4.234 * [backup-simplify]: Simplify y into y 4.235 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.235 * [backup-simplify]: Simplify (* 3 (pow y 2)) into (* 3 (pow y 2)) 4.235 * [backup-simplify]: Simplify (+ 0 (* 3 (pow y 2))) into (* 3 (pow y 2)) 4.235 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 4.235 * [taylor]: Taking taylor expansion of 3 in y 4.235 * [backup-simplify]: Simplify 3 into 3 4.235 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.235 * [taylor]: Taking taylor expansion of y in y 4.235 * [backup-simplify]: Simplify 0 into 0 4.235 * [backup-simplify]: Simplify 1 into 1 4.235 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.236 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (pow y 2))) into 0 4.236 * [backup-simplify]: Simplify (+ 0 0) into 0 4.236 * [taylor]: Taking taylor expansion of 0 in y 4.236 * [backup-simplify]: Simplify 0 into 0 4.236 * [backup-simplify]: Simplify 0 into 0 4.237 * [backup-simplify]: Simplify (* 1 1) into 1 4.237 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.238 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 4.239 * [backup-simplify]: Simplify (+ 1 0) into 1 4.239 * [taylor]: Taking taylor expansion of 1 in y 4.239 * [backup-simplify]: Simplify 1 into 1 4.239 * [backup-simplify]: Simplify 1 into 1 4.239 * [backup-simplify]: Simplify 0 into 0 4.239 * [backup-simplify]: Simplify (* 1 1) into 1 4.239 * [backup-simplify]: Simplify (* 3 1) into 3 4.239 * [backup-simplify]: Simplify 3 into 3 4.240 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.240 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.241 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 4.242 * [backup-simplify]: Simplify (+ 0 0) into 0 4.242 * [taylor]: Taking taylor expansion of 0 in y 4.242 * [backup-simplify]: Simplify 0 into 0 4.242 * [backup-simplify]: Simplify 0 into 0 4.242 * [backup-simplify]: Simplify 0 into 0 4.242 * [backup-simplify]: Simplify 0 into 0 4.242 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.243 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 4.243 * [backup-simplify]: Simplify 0 into 0 4.243 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.244 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 4.245 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 4.245 * [backup-simplify]: Simplify (+ 0 0) into 0 4.245 * [taylor]: Taking taylor expansion of 0 in y 4.245 * [backup-simplify]: Simplify 0 into 0 4.245 * [backup-simplify]: Simplify 0 into 0 4.245 * [backup-simplify]: Simplify 0 into 0 4.245 * [backup-simplify]: Simplify (+ (* 3 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 3 (pow y 2))) 4.246 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (* 3 (/ 1 y)) (/ 1 y))) into (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) 4.246 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 4.246 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 4.246 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.246 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.246 * [taylor]: Taking taylor expansion of x in y 4.246 * [backup-simplify]: Simplify x into x 4.246 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.246 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.246 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 4.246 * [taylor]: Taking taylor expansion of 3 in y 4.246 * [backup-simplify]: Simplify 3 into 3 4.246 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.246 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.246 * [taylor]: Taking taylor expansion of y in y 4.246 * [backup-simplify]: Simplify 0 into 0 4.246 * [backup-simplify]: Simplify 1 into 1 4.246 * [backup-simplify]: Simplify (* 1 1) into 1 4.246 * [backup-simplify]: Simplify (/ 1 1) into 1 4.246 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 4.246 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.246 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.246 * [taylor]: Taking taylor expansion of x in x 4.246 * [backup-simplify]: Simplify 0 into 0 4.246 * [backup-simplify]: Simplify 1 into 1 4.247 * [backup-simplify]: Simplify (* 1 1) into 1 4.247 * [backup-simplify]: Simplify (/ 1 1) into 1 4.247 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 4.247 * [taylor]: Taking taylor expansion of 3 in x 4.247 * [backup-simplify]: Simplify 3 into 3 4.247 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.247 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.247 * [taylor]: Taking taylor expansion of y in x 4.247 * [backup-simplify]: Simplify y into y 4.247 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.247 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.247 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 4.247 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.247 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.247 * [taylor]: Taking taylor expansion of x in x 4.247 * [backup-simplify]: Simplify 0 into 0 4.247 * [backup-simplify]: Simplify 1 into 1 4.248 * [backup-simplify]: Simplify (* 1 1) into 1 4.248 * [backup-simplify]: Simplify (/ 1 1) into 1 4.248 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 4.248 * [taylor]: Taking taylor expansion of 3 in x 4.248 * [backup-simplify]: Simplify 3 into 3 4.248 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.248 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.248 * [taylor]: Taking taylor expansion of y in x 4.248 * [backup-simplify]: Simplify y into y 4.248 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.248 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.248 * [backup-simplify]: Simplify (+ 1 0) into 1 4.248 * [taylor]: Taking taylor expansion of 1 in y 4.248 * [backup-simplify]: Simplify 1 into 1 4.249 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.250 * [backup-simplify]: Simplify (+ 0 0) into 0 4.250 * [taylor]: Taking taylor expansion of 0 in y 4.250 * [backup-simplify]: Simplify 0 into 0 4.250 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.251 * [backup-simplify]: Simplify (* 3 (/ 1 (pow y 2))) into (/ 3 (pow y 2)) 4.251 * [backup-simplify]: Simplify (+ 0 (/ 3 (pow y 2))) into (* 3 (/ 1 (pow y 2))) 4.251 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 4.251 * [taylor]: Taking taylor expansion of 3 in y 4.251 * [backup-simplify]: Simplify 3 into 3 4.251 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.251 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.251 * [taylor]: Taking taylor expansion of y in y 4.251 * [backup-simplify]: Simplify 0 into 0 4.251 * [backup-simplify]: Simplify 1 into 1 4.251 * [backup-simplify]: Simplify (* 1 1) into 1 4.252 * [backup-simplify]: Simplify (/ 1 1) into 1 4.252 * [backup-simplify]: Simplify (* 3 1) into 3 4.252 * [backup-simplify]: Simplify 3 into 3 4.252 * [backup-simplify]: Simplify 1 into 1 4.253 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.253 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.253 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.254 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (/ 1 (pow y 2)))) into 0 4.254 * [backup-simplify]: Simplify (+ 0 0) into 0 4.254 * [taylor]: Taking taylor expansion of 0 in y 4.254 * [backup-simplify]: Simplify 0 into 0 4.254 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.255 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 4.255 * [backup-simplify]: Simplify 0 into 0 4.255 * [backup-simplify]: Simplify 0 into 0 4.255 * [backup-simplify]: Simplify 0 into 0 4.256 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.257 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.257 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 4.258 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 4.258 * [backup-simplify]: Simplify (+ 0 0) into 0 4.258 * [taylor]: Taking taylor expansion of 0 in y 4.258 * [backup-simplify]: Simplify 0 into 0 4.258 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.259 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 4.260 * [backup-simplify]: Simplify 0 into 0 4.260 * [backup-simplify]: Simplify 0 into 0 4.260 * [backup-simplify]: Simplify 0 into 0 4.260 * [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))) 4.260 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* 3 (/ 1 (- y))) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) 4.260 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 4.260 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 4.260 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.260 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.260 * [taylor]: Taking taylor expansion of x in y 4.260 * [backup-simplify]: Simplify x into x 4.260 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.260 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.260 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 4.260 * [taylor]: Taking taylor expansion of 3 in y 4.260 * [backup-simplify]: Simplify 3 into 3 4.260 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.260 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.260 * [taylor]: Taking taylor expansion of y in y 4.260 * [backup-simplify]: Simplify 0 into 0 4.260 * [backup-simplify]: Simplify 1 into 1 4.261 * [backup-simplify]: Simplify (* 1 1) into 1 4.261 * [backup-simplify]: Simplify (/ 1 1) into 1 4.261 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 4.261 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.261 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.261 * [taylor]: Taking taylor expansion of x in x 4.261 * [backup-simplify]: Simplify 0 into 0 4.261 * [backup-simplify]: Simplify 1 into 1 4.261 * [backup-simplify]: Simplify (* 1 1) into 1 4.262 * [backup-simplify]: Simplify (/ 1 1) into 1 4.262 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 4.262 * [taylor]: Taking taylor expansion of 3 in x 4.262 * [backup-simplify]: Simplify 3 into 3 4.262 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.262 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.262 * [taylor]: Taking taylor expansion of y in x 4.262 * [backup-simplify]: Simplify y into y 4.262 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.262 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.262 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 4.262 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.262 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.262 * [taylor]: Taking taylor expansion of x in x 4.262 * [backup-simplify]: Simplify 0 into 0 4.262 * [backup-simplify]: Simplify 1 into 1 4.262 * [backup-simplify]: Simplify (* 1 1) into 1 4.262 * [backup-simplify]: Simplify (/ 1 1) into 1 4.262 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 4.262 * [taylor]: Taking taylor expansion of 3 in x 4.262 * [backup-simplify]: Simplify 3 into 3 4.262 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 4.262 * [taylor]: Taking taylor expansion of (pow y 2) in x 4.263 * [taylor]: Taking taylor expansion of y in x 4.263 * [backup-simplify]: Simplify y into y 4.263 * [backup-simplify]: Simplify (* y y) into (pow y 2) 4.263 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 4.263 * [backup-simplify]: Simplify (+ 1 0) into 1 4.263 * [taylor]: Taking taylor expansion of 1 in y 4.263 * [backup-simplify]: Simplify 1 into 1 4.263 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.264 * [backup-simplify]: Simplify (+ 0 0) into 0 4.264 * [taylor]: Taking taylor expansion of 0 in y 4.264 * [backup-simplify]: Simplify 0 into 0 4.265 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.265 * [backup-simplify]: Simplify (* 3 (/ 1 (pow y 2))) into (/ 3 (pow y 2)) 4.265 * [backup-simplify]: Simplify (+ 0 (/ 3 (pow y 2))) into (* 3 (/ 1 (pow y 2))) 4.265 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 4.265 * [taylor]: Taking taylor expansion of 3 in y 4.265 * [backup-simplify]: Simplify 3 into 3 4.265 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 4.265 * [taylor]: Taking taylor expansion of (pow y 2) in y 4.265 * [taylor]: Taking taylor expansion of y in y 4.266 * [backup-simplify]: Simplify 0 into 0 4.266 * [backup-simplify]: Simplify 1 into 1 4.266 * [backup-simplify]: Simplify (* 1 1) into 1 4.266 * [backup-simplify]: Simplify (/ 1 1) into 1 4.266 * [backup-simplify]: Simplify (* 3 1) into 3 4.266 * [backup-simplify]: Simplify 3 into 3 4.266 * [backup-simplify]: Simplify 1 into 1 4.267 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.267 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 4.268 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 4.268 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (/ 1 (pow y 2)))) into 0 4.268 * [backup-simplify]: Simplify (+ 0 0) into 0 4.268 * [taylor]: Taking taylor expansion of 0 in y 4.268 * [backup-simplify]: Simplify 0 into 0 4.269 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.270 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 4.270 * [backup-simplify]: Simplify 0 into 0 4.270 * [backup-simplify]: Simplify 0 into 0 4.270 * [backup-simplify]: Simplify 0 into 0 4.270 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.271 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 4.272 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 4.272 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 4.273 * [backup-simplify]: Simplify (+ 0 0) into 0 4.273 * [taylor]: Taking taylor expansion of 0 in y 4.273 * [backup-simplify]: Simplify 0 into 0 4.273 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.275 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 4.275 * [backup-simplify]: Simplify 0 into 0 4.275 * [backup-simplify]: Simplify 0 into 0 4.275 * [backup-simplify]: Simplify 0 into 0 4.275 * [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))) 4.275 * * * [progress]: simplifying candidates 4.276 * [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 (* x x)) (exp (* (* 3 y) y))) (log (+ (* x x) (* (* 3 y) y))) (exp (+ (* x x) (* (* 3 y) y))) (* (cbrt (+ (* x x) (* (* 3 y) y))) (cbrt (+ (* x x) (* (* 3 y) y)))) (cbrt (+ (* x x) (* (* 3 y) y))) (* (* (+ (* x x) (* (* 3 y) y)) (+ (* x x) (* (* 3 y) y))) (+ (* x x) (* (* 3 y) y))) (sqrt (+ (* x x) (* (* 3 y) y))) (sqrt (+ (* x x) (* (* 3 y) y))) (+ (pow (* x x) 3) (pow (* (* 3 y) y) 3)) (+ (* (* x x) (* x x)) (- (* (* (* 3 y) y) (* (* 3 y) y)) (* (* x x) (* (* 3 y) y)))) (- (* (* x x) (* x x)) (* (* (* 3 y) y) (* (* 3 y) y))) (- (* x x) (* (* 3 y) y)) (* 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))) 4.277 * * [simplify]: Extracting # 0 : cost 0 4.277 * * [simplify]: Extracting # 1 : cost 0 4.277 * * [simplify]: Extracting # 2 : cost 0 4.277 * * [simplify]: Extracting # 3 : cost 0 4.277 * * [simplify]: Extracting # 4 : cost 0 4.277 * * [simplify]: Extracting # 5 : cost 0 4.277 * * [simplify]: iteration 0 : 59 enodes (cost 365 ) 4.297 * * [simplify]: Extracting # 0 : cost 0 4.297 * * [simplify]: Extracting # 1 : cost 0 4.297 * * [simplify]: Extracting # 2 : cost 0 4.298 * * [simplify]: Extracting # 3 : cost 0 4.298 * * [simplify]: Extracting # 4 : cost 0 4.299 * * [simplify]: iteration 1 : 172 enodes (cost 335 ) 4.452 * * [simplify]: Extracting # 0 : cost 0 4.453 * * [simplify]: Extracting # 1 : cost 0 4.453 * * [simplify]: Extracting # 2 : cost 0 4.454 * * [simplify]: Extracting # 3 : cost 0 4.455 * * [simplify]: Extracting # 4 : cost 0 4.455 * * [simplify]: iteration 2 : 631 enodes (cost 291 ) 5.163 * * [simplify]: Extracting # 0 : cost 0 5.167 * * [simplify]: Extracting # 1 : cost 0 5.176 * * [simplify]: Extracting # 2 : cost 0 5.179 * * [simplify]: Extracting # 3 : cost 0 5.182 * * [simplify]: Extracting # 4 : cost 0 5.185 * * [simplify]: iteration 3 : 1818 enodes (cost 281 ) 7.912 * * [simplify]: Extracting # 0 : cost 0 7.918 * * [simplify]: Extracting # 1 : cost 0 7.924 * * [simplify]: Extracting # 2 : cost 0 7.928 * * [simplify]: Extracting # 3 : cost 0 7.933 * * [simplify]: Extracting # 4 : cost 0 7.941 * * [simplify]: iteration done: 5000 enodes (cost 281 ) 7.941 * [simplify]: Simplified to: (* 3 (pow y 2)) (* 3 (pow y 2)) (log (* 3 (pow y 2))) (log (* 3 (pow y 2))) (log (* 3 (pow y 2))) (exp (* (* 3 y) y)) (* 27 (pow y 6)) (* 27 (pow y 6)) (* (cbrt (* (* 3 y) y)) (cbrt (* (* 3 y) y))) (cbrt (* (* 3 y) y)) (* 27 (pow y 6)) (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y)) (* (* 3 y) (* (cbrt y) (cbrt y))) (* (* 3 y) (sqrt y)) (* 3 y) (pow y 2) (exp (+ (* x x) (* (* 3 y) y))) (log (+ (* x x) (* (* 3 y) y))) (exp (+ (* x x) (* (* 3 y) y))) (* (cbrt (+ (* x x) (* (* 3 y) y))) (cbrt (+ (* x x) (* (* 3 y) y)))) (cbrt (+ (* x x) (* (* 3 y) y))) (pow (+ (pow x 2) (* 3 (pow y 2))) 3) (sqrt (+ (* x x) (* (* 3 y) y))) (sqrt (+ (* x x) (* (* 3 y) y))) (+ (* 27 (pow y 6)) (pow x 6)) (+ (pow x 4) (* (* 3 (pow y 2)) (- (* 3 (pow y 2)) (* x x)))) (- (pow x 4) (* 9 (pow y 4))) (- (* x x) (* (* 3 y) y)) (* 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)) 7.941 * * * [progress]: adding candidates to table 8.040 * * [progress]: iteration 3 / 4 8.040 * * * [progress]: picking best candidate 8.048 * * * * [pick]: Picked # 8.048 * * * [progress]: localizing error 8.059 * * * [progress]: generating rewritten candidates 8.059 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 8.248 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 8.279 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1) 8.292 * * * [progress]: generating series expansions 8.292 * * * * [progress]: [ 1 / 3 ] generating series at (2) 8.293 * [backup-simplify]: Simplify (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) into (+ (pow x 2) (* 3 (pow y 2))) 8.293 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in (x y) around 0 8.293 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in y 8.293 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.293 * [taylor]: Taking taylor expansion of x in y 8.293 * [backup-simplify]: Simplify x into x 8.293 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 8.293 * [taylor]: Taking taylor expansion of 3 in y 8.293 * [backup-simplify]: Simplify 3 into 3 8.293 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.293 * [taylor]: Taking taylor expansion of y in y 8.293 * [backup-simplify]: Simplify 0 into 0 8.293 * [backup-simplify]: Simplify 1 into 1 8.293 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 8.293 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.293 * [taylor]: Taking taylor expansion of x in x 8.293 * [backup-simplify]: Simplify 0 into 0 8.293 * [backup-simplify]: Simplify 1 into 1 8.294 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 8.294 * [taylor]: Taking taylor expansion of 3 in x 8.294 * [backup-simplify]: Simplify 3 into 3 8.294 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.294 * [taylor]: Taking taylor expansion of y in x 8.294 * [backup-simplify]: Simplify y into y 8.294 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 3 (pow y 2))) in x 8.294 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.294 * [taylor]: Taking taylor expansion of x in x 8.294 * [backup-simplify]: Simplify 0 into 0 8.294 * [backup-simplify]: Simplify 1 into 1 8.294 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 8.294 * [taylor]: Taking taylor expansion of 3 in x 8.294 * [backup-simplify]: Simplify 3 into 3 8.294 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.294 * [taylor]: Taking taylor expansion of y in x 8.294 * [backup-simplify]: Simplify y into y 8.294 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.294 * [backup-simplify]: Simplify (* 3 (pow y 2)) into (* 3 (pow y 2)) 8.294 * [backup-simplify]: Simplify (+ 0 (* 3 (pow y 2))) into (* 3 (pow y 2)) 8.294 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 8.295 * [taylor]: Taking taylor expansion of 3 in y 8.295 * [backup-simplify]: Simplify 3 into 3 8.295 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.295 * [taylor]: Taking taylor expansion of y in y 8.295 * [backup-simplify]: Simplify 0 into 0 8.295 * [backup-simplify]: Simplify 1 into 1 8.295 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.296 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (pow y 2))) into 0 8.296 * [backup-simplify]: Simplify (+ 0 0) into 0 8.296 * [taylor]: Taking taylor expansion of 0 in y 8.296 * [backup-simplify]: Simplify 0 into 0 8.296 * [backup-simplify]: Simplify 0 into 0 8.297 * [backup-simplify]: Simplify (* 1 1) into 1 8.297 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.298 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 8.299 * [backup-simplify]: Simplify (+ 1 0) into 1 8.299 * [taylor]: Taking taylor expansion of 1 in y 8.299 * [backup-simplify]: Simplify 1 into 1 8.299 * [backup-simplify]: Simplify 1 into 1 8.299 * [backup-simplify]: Simplify 0 into 0 8.299 * [backup-simplify]: Simplify (* 1 1) into 1 8.300 * [backup-simplify]: Simplify (* 3 1) into 3 8.300 * [backup-simplify]: Simplify 3 into 3 8.300 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.301 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 8.302 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 8.302 * [backup-simplify]: Simplify (+ 0 0) into 0 8.302 * [taylor]: Taking taylor expansion of 0 in y 8.303 * [backup-simplify]: Simplify 0 into 0 8.303 * [backup-simplify]: Simplify 0 into 0 8.303 * [backup-simplify]: Simplify 0 into 0 8.303 * [backup-simplify]: Simplify 0 into 0 8.303 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.303 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 8.303 * [backup-simplify]: Simplify 0 into 0 8.304 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.305 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 8.306 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 8.306 * [backup-simplify]: Simplify (+ 0 0) into 0 8.306 * [taylor]: Taking taylor expansion of 0 in y 8.306 * [backup-simplify]: Simplify 0 into 0 8.306 * [backup-simplify]: Simplify 0 into 0 8.306 * [backup-simplify]: Simplify 0 into 0 8.306 * [backup-simplify]: Simplify (+ (* 3 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 3 (pow y 2))) 8.307 * [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)))) 8.307 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 8.307 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 8.307 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 8.307 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.307 * [taylor]: Taking taylor expansion of x in y 8.307 * [backup-simplify]: Simplify x into x 8.307 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.307 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.307 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 8.307 * [taylor]: Taking taylor expansion of 3 in y 8.307 * [backup-simplify]: Simplify 3 into 3 8.307 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.307 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.307 * [taylor]: Taking taylor expansion of y in y 8.307 * [backup-simplify]: Simplify 0 into 0 8.307 * [backup-simplify]: Simplify 1 into 1 8.307 * [backup-simplify]: Simplify (* 1 1) into 1 8.308 * [backup-simplify]: Simplify (/ 1 1) into 1 8.308 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 8.308 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.308 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.308 * [taylor]: Taking taylor expansion of x in x 8.308 * [backup-simplify]: Simplify 0 into 0 8.308 * [backup-simplify]: Simplify 1 into 1 8.308 * [backup-simplify]: Simplify (* 1 1) into 1 8.308 * [backup-simplify]: Simplify (/ 1 1) into 1 8.308 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 8.308 * [taylor]: Taking taylor expansion of 3 in x 8.308 * [backup-simplify]: Simplify 3 into 3 8.308 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.308 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.308 * [taylor]: Taking taylor expansion of y in x 8.308 * [backup-simplify]: Simplify y into y 8.308 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.308 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.308 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 8.308 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.308 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.308 * [taylor]: Taking taylor expansion of x in x 8.308 * [backup-simplify]: Simplify 0 into 0 8.308 * [backup-simplify]: Simplify 1 into 1 8.309 * [backup-simplify]: Simplify (* 1 1) into 1 8.309 * [backup-simplify]: Simplify (/ 1 1) into 1 8.309 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 8.309 * [taylor]: Taking taylor expansion of 3 in x 8.309 * [backup-simplify]: Simplify 3 into 3 8.309 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.309 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.309 * [taylor]: Taking taylor expansion of y in x 8.309 * [backup-simplify]: Simplify y into y 8.309 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.309 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.312 * [backup-simplify]: Simplify (+ 1 0) into 1 8.312 * [taylor]: Taking taylor expansion of 1 in y 8.312 * [backup-simplify]: Simplify 1 into 1 8.312 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.313 * [backup-simplify]: Simplify (+ 0 0) into 0 8.313 * [taylor]: Taking taylor expansion of 0 in y 8.313 * [backup-simplify]: Simplify 0 into 0 8.314 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.314 * [backup-simplify]: Simplify (* 3 (/ 1 (pow y 2))) into (/ 3 (pow y 2)) 8.314 * [backup-simplify]: Simplify (+ 0 (/ 3 (pow y 2))) into (* 3 (/ 1 (pow y 2))) 8.314 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 8.314 * [taylor]: Taking taylor expansion of 3 in y 8.314 * [backup-simplify]: Simplify 3 into 3 8.314 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.315 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.315 * [taylor]: Taking taylor expansion of y in y 8.315 * [backup-simplify]: Simplify 0 into 0 8.315 * [backup-simplify]: Simplify 1 into 1 8.315 * [backup-simplify]: Simplify (* 1 1) into 1 8.315 * [backup-simplify]: Simplify (/ 1 1) into 1 8.315 * [backup-simplify]: Simplify (* 3 1) into 3 8.315 * [backup-simplify]: Simplify 3 into 3 8.315 * [backup-simplify]: Simplify 1 into 1 8.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.317 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.317 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 8.317 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (/ 1 (pow y 2)))) into 0 8.318 * [backup-simplify]: Simplify (+ 0 0) into 0 8.318 * [taylor]: Taking taylor expansion of 0 in y 8.318 * [backup-simplify]: Simplify 0 into 0 8.318 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.319 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 8.319 * [backup-simplify]: Simplify 0 into 0 8.319 * [backup-simplify]: Simplify 0 into 0 8.319 * [backup-simplify]: Simplify 0 into 0 8.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.321 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.321 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 8.322 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 8.322 * [backup-simplify]: Simplify (+ 0 0) into 0 8.322 * [taylor]: Taking taylor expansion of 0 in y 8.322 * [backup-simplify]: Simplify 0 into 0 8.322 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.323 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 8.324 * [backup-simplify]: Simplify 0 into 0 8.324 * [backup-simplify]: Simplify 0 into 0 8.324 * [backup-simplify]: Simplify 0 into 0 8.324 * [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))) 8.324 * [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)))) 8.324 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in (x y) around 0 8.324 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in y 8.324 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 8.324 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.324 * [taylor]: Taking taylor expansion of x in y 8.324 * [backup-simplify]: Simplify x into x 8.324 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.325 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.325 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 8.325 * [taylor]: Taking taylor expansion of 3 in y 8.325 * [backup-simplify]: Simplify 3 into 3 8.325 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.325 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.325 * [taylor]: Taking taylor expansion of y in y 8.325 * [backup-simplify]: Simplify 0 into 0 8.325 * [backup-simplify]: Simplify 1 into 1 8.325 * [backup-simplify]: Simplify (* 1 1) into 1 8.325 * [backup-simplify]: Simplify (/ 1 1) into 1 8.325 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 8.325 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.325 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.325 * [taylor]: Taking taylor expansion of x in x 8.325 * [backup-simplify]: Simplify 0 into 0 8.325 * [backup-simplify]: Simplify 1 into 1 8.326 * [backup-simplify]: Simplify (* 1 1) into 1 8.326 * [backup-simplify]: Simplify (/ 1 1) into 1 8.326 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 8.326 * [taylor]: Taking taylor expansion of 3 in x 8.326 * [backup-simplify]: Simplify 3 into 3 8.326 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.326 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.326 * [taylor]: Taking taylor expansion of y in x 8.326 * [backup-simplify]: Simplify y into y 8.326 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.326 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.326 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 3 (/ 1 (pow y 2)))) in x 8.326 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.326 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.326 * [taylor]: Taking taylor expansion of x in x 8.326 * [backup-simplify]: Simplify 0 into 0 8.326 * [backup-simplify]: Simplify 1 into 1 8.326 * [backup-simplify]: Simplify (* 1 1) into 1 8.327 * [backup-simplify]: Simplify (/ 1 1) into 1 8.327 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 8.327 * [taylor]: Taking taylor expansion of 3 in x 8.327 * [backup-simplify]: Simplify 3 into 3 8.327 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.327 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.327 * [taylor]: Taking taylor expansion of y in x 8.327 * [backup-simplify]: Simplify y into y 8.327 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.327 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.327 * [backup-simplify]: Simplify (+ 1 0) into 1 8.327 * [taylor]: Taking taylor expansion of 1 in y 8.327 * [backup-simplify]: Simplify 1 into 1 8.328 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.328 * [backup-simplify]: Simplify (+ 0 0) into 0 8.328 * [taylor]: Taking taylor expansion of 0 in y 8.328 * [backup-simplify]: Simplify 0 into 0 8.329 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.331 * [backup-simplify]: Simplify (* 3 (/ 1 (pow y 2))) into (/ 3 (pow y 2)) 8.331 * [backup-simplify]: Simplify (+ 0 (/ 3 (pow y 2))) into (* 3 (/ 1 (pow y 2))) 8.331 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 8.331 * [taylor]: Taking taylor expansion of 3 in y 8.331 * [backup-simplify]: Simplify 3 into 3 8.331 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.331 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.331 * [taylor]: Taking taylor expansion of y in y 8.331 * [backup-simplify]: Simplify 0 into 0 8.331 * [backup-simplify]: Simplify 1 into 1 8.332 * [backup-simplify]: Simplify (* 1 1) into 1 8.332 * [backup-simplify]: Simplify (/ 1 1) into 1 8.332 * [backup-simplify]: Simplify (* 3 1) into 3 8.332 * [backup-simplify]: Simplify 3 into 3 8.332 * [backup-simplify]: Simplify 1 into 1 8.334 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.335 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.335 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 8.336 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (/ 1 (pow y 2)))) into 0 8.336 * [backup-simplify]: Simplify (+ 0 0) into 0 8.336 * [taylor]: Taking taylor expansion of 0 in y 8.336 * [backup-simplify]: Simplify 0 into 0 8.337 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.338 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 8.338 * [backup-simplify]: Simplify 0 into 0 8.338 * [backup-simplify]: Simplify 0 into 0 8.338 * [backup-simplify]: Simplify 0 into 0 8.340 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.341 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.342 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 8.343 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 8.343 * [backup-simplify]: Simplify (+ 0 0) into 0 8.343 * [taylor]: Taking taylor expansion of 0 in y 8.343 * [backup-simplify]: Simplify 0 into 0 8.344 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.346 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 8.346 * [backup-simplify]: Simplify 0 into 0 8.346 * [backup-simplify]: Simplify 0 into 0 8.347 * [backup-simplify]: Simplify 0 into 0 8.348 * [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))) 8.348 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 8.348 * [backup-simplify]: Simplify (+ (+ (* x x) (* y y)) (* y y)) into (+ (pow x 2) (* 2 (pow y 2))) 8.348 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in (x y) around 0 8.348 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in y 8.348 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.348 * [taylor]: Taking taylor expansion of x in y 8.348 * [backup-simplify]: Simplify x into x 8.348 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 8.348 * [taylor]: Taking taylor expansion of 2 in y 8.348 * [backup-simplify]: Simplify 2 into 2 8.348 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.348 * [taylor]: Taking taylor expansion of y in y 8.348 * [backup-simplify]: Simplify 0 into 0 8.348 * [backup-simplify]: Simplify 1 into 1 8.348 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 8.348 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.348 * [taylor]: Taking taylor expansion of x in x 8.349 * [backup-simplify]: Simplify 0 into 0 8.349 * [backup-simplify]: Simplify 1 into 1 8.349 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 8.349 * [taylor]: Taking taylor expansion of 2 in x 8.349 * [backup-simplify]: Simplify 2 into 2 8.349 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.349 * [taylor]: Taking taylor expansion of y in x 8.349 * [backup-simplify]: Simplify y into y 8.349 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 (pow y 2))) in x 8.349 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.349 * [taylor]: Taking taylor expansion of x in x 8.349 * [backup-simplify]: Simplify 0 into 0 8.349 * [backup-simplify]: Simplify 1 into 1 8.349 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 8.349 * [taylor]: Taking taylor expansion of 2 in x 8.349 * [backup-simplify]: Simplify 2 into 2 8.349 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.349 * [taylor]: Taking taylor expansion of y in x 8.349 * [backup-simplify]: Simplify y into y 8.349 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.349 * [backup-simplify]: Simplify (* 2 (pow y 2)) into (* 2 (pow y 2)) 8.349 * [backup-simplify]: Simplify (+ 0 (* 2 (pow y 2))) into (* 2 (pow y 2)) 8.349 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 8.349 * [taylor]: Taking taylor expansion of 2 in y 8.350 * [backup-simplify]: Simplify 2 into 2 8.350 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.350 * [taylor]: Taking taylor expansion of y in y 8.350 * [backup-simplify]: Simplify 0 into 0 8.350 * [backup-simplify]: Simplify 1 into 1 8.350 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.350 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow y 2))) into 0 8.351 * [backup-simplify]: Simplify (+ 0 0) into 0 8.351 * [taylor]: Taking taylor expansion of 0 in y 8.351 * [backup-simplify]: Simplify 0 into 0 8.351 * [backup-simplify]: Simplify 0 into 0 8.351 * [backup-simplify]: Simplify (* 1 1) into 1 8.352 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.353 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 8.353 * [backup-simplify]: Simplify (+ 1 0) into 1 8.353 * [taylor]: Taking taylor expansion of 1 in y 8.353 * [backup-simplify]: Simplify 1 into 1 8.353 * [backup-simplify]: Simplify 1 into 1 8.353 * [backup-simplify]: Simplify 0 into 0 8.354 * [backup-simplify]: Simplify (* 1 1) into 1 8.354 * [backup-simplify]: Simplify (* 2 1) into 2 8.354 * [backup-simplify]: Simplify 2 into 2 8.355 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.356 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 8.357 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 8.357 * [backup-simplify]: Simplify (+ 0 0) into 0 8.357 * [taylor]: Taking taylor expansion of 0 in y 8.357 * [backup-simplify]: Simplify 0 into 0 8.357 * [backup-simplify]: Simplify 0 into 0 8.357 * [backup-simplify]: Simplify 0 into 0 8.357 * [backup-simplify]: Simplify 0 into 0 8.358 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.359 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 8.359 * [backup-simplify]: Simplify 0 into 0 8.360 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.361 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 8.362 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 8.363 * [backup-simplify]: Simplify (+ 0 0) into 0 8.363 * [taylor]: Taking taylor expansion of 0 in y 8.363 * [backup-simplify]: Simplify 0 into 0 8.363 * [backup-simplify]: Simplify 0 into 0 8.363 * [backup-simplify]: Simplify 0 into 0 8.363 * [backup-simplify]: Simplify (+ (* 2 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 2 (pow y 2))) 8.364 * [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)))) 8.364 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 8.364 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 8.364 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 8.364 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.364 * [taylor]: Taking taylor expansion of x in y 8.364 * [backup-simplify]: Simplify x into x 8.364 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.364 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.365 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 8.365 * [taylor]: Taking taylor expansion of 2 in y 8.365 * [backup-simplify]: Simplify 2 into 2 8.365 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.365 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.365 * [taylor]: Taking taylor expansion of y in y 8.365 * [backup-simplify]: Simplify 0 into 0 8.365 * [backup-simplify]: Simplify 1 into 1 8.365 * [backup-simplify]: Simplify (* 1 1) into 1 8.365 * [backup-simplify]: Simplify (/ 1 1) into 1 8.365 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 8.365 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.366 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.366 * [taylor]: Taking taylor expansion of x in x 8.366 * [backup-simplify]: Simplify 0 into 0 8.366 * [backup-simplify]: Simplify 1 into 1 8.366 * [backup-simplify]: Simplify (* 1 1) into 1 8.366 * [backup-simplify]: Simplify (/ 1 1) into 1 8.366 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 8.366 * [taylor]: Taking taylor expansion of 2 in x 8.366 * [backup-simplify]: Simplify 2 into 2 8.366 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.366 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.367 * [taylor]: Taking taylor expansion of y in x 8.367 * [backup-simplify]: Simplify y into y 8.367 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.367 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.367 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 8.367 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.367 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.367 * [taylor]: Taking taylor expansion of x in x 8.367 * [backup-simplify]: Simplify 0 into 0 8.367 * [backup-simplify]: Simplify 1 into 1 8.367 * [backup-simplify]: Simplify (* 1 1) into 1 8.368 * [backup-simplify]: Simplify (/ 1 1) into 1 8.368 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 8.368 * [taylor]: Taking taylor expansion of 2 in x 8.368 * [backup-simplify]: Simplify 2 into 2 8.368 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.368 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.368 * [taylor]: Taking taylor expansion of y in x 8.368 * [backup-simplify]: Simplify y into y 8.368 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.368 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.369 * [backup-simplify]: Simplify (+ 1 0) into 1 8.369 * [taylor]: Taking taylor expansion of 1 in y 8.369 * [backup-simplify]: Simplify 1 into 1 8.369 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.370 * [backup-simplify]: Simplify (+ 0 0) into 0 8.370 * [taylor]: Taking taylor expansion of 0 in y 8.371 * [backup-simplify]: Simplify 0 into 0 8.371 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.373 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2)) 8.373 * [backup-simplify]: Simplify (+ 0 (/ 2 (pow y 2))) into (* 2 (/ 1 (pow y 2))) 8.373 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 8.373 * [taylor]: Taking taylor expansion of 2 in y 8.373 * [backup-simplify]: Simplify 2 into 2 8.373 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.373 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.373 * [taylor]: Taking taylor expansion of y in y 8.373 * [backup-simplify]: Simplify 0 into 0 8.373 * [backup-simplify]: Simplify 1 into 1 8.373 * [backup-simplify]: Simplify (* 1 1) into 1 8.374 * [backup-simplify]: Simplify (/ 1 1) into 1 8.374 * [backup-simplify]: Simplify (* 2 1) into 2 8.374 * [backup-simplify]: Simplify 2 into 2 8.374 * [backup-simplify]: Simplify 1 into 1 8.375 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.377 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.377 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 8.378 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0 8.378 * [backup-simplify]: Simplify (+ 0 0) into 0 8.378 * [taylor]: Taking taylor expansion of 0 in y 8.378 * [backup-simplify]: Simplify 0 into 0 8.379 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.380 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 8.380 * [backup-simplify]: Simplify 0 into 0 8.380 * [backup-simplify]: Simplify 0 into 0 8.380 * [backup-simplify]: Simplify 0 into 0 8.381 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.383 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.383 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 8.384 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 8.385 * [backup-simplify]: Simplify (+ 0 0) into 0 8.385 * [taylor]: Taking taylor expansion of 0 in y 8.385 * [backup-simplify]: Simplify 0 into 0 8.386 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.388 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.388 * [backup-simplify]: Simplify 0 into 0 8.388 * [backup-simplify]: Simplify 0 into 0 8.388 * [backup-simplify]: Simplify 0 into 0 8.388 * [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))) 8.389 * [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)))) 8.389 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in (x y) around 0 8.389 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in y 8.389 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 8.389 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.389 * [taylor]: Taking taylor expansion of x in y 8.389 * [backup-simplify]: Simplify x into x 8.389 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.389 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.389 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 8.390 * [taylor]: Taking taylor expansion of 2 in y 8.390 * [backup-simplify]: Simplify 2 into 2 8.390 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.390 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.390 * [taylor]: Taking taylor expansion of y in y 8.390 * [backup-simplify]: Simplify 0 into 0 8.390 * [backup-simplify]: Simplify 1 into 1 8.390 * [backup-simplify]: Simplify (* 1 1) into 1 8.391 * [backup-simplify]: Simplify (/ 1 1) into 1 8.391 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 8.391 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.391 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.391 * [taylor]: Taking taylor expansion of x in x 8.391 * [backup-simplify]: Simplify 0 into 0 8.391 * [backup-simplify]: Simplify 1 into 1 8.391 * [backup-simplify]: Simplify (* 1 1) into 1 8.392 * [backup-simplify]: Simplify (/ 1 1) into 1 8.392 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 8.392 * [taylor]: Taking taylor expansion of 2 in x 8.392 * [backup-simplify]: Simplify 2 into 2 8.392 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.392 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.392 * [taylor]: Taking taylor expansion of y in x 8.392 * [backup-simplify]: Simplify y into y 8.392 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.392 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.392 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 (pow y 2)))) in x 8.392 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.392 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.392 * [taylor]: Taking taylor expansion of x in x 8.392 * [backup-simplify]: Simplify 0 into 0 8.392 * [backup-simplify]: Simplify 1 into 1 8.393 * [backup-simplify]: Simplify (* 1 1) into 1 8.393 * [backup-simplify]: Simplify (/ 1 1) into 1 8.393 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 8.393 * [taylor]: Taking taylor expansion of 2 in x 8.393 * [backup-simplify]: Simplify 2 into 2 8.393 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.393 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.393 * [taylor]: Taking taylor expansion of y in x 8.393 * [backup-simplify]: Simplify y into y 8.394 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.394 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.394 * [backup-simplify]: Simplify (+ 1 0) into 1 8.394 * [taylor]: Taking taylor expansion of 1 in y 8.394 * [backup-simplify]: Simplify 1 into 1 8.395 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.396 * [backup-simplify]: Simplify (+ 0 0) into 0 8.396 * [taylor]: Taking taylor expansion of 0 in y 8.396 * [backup-simplify]: Simplify 0 into 0 8.397 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.398 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2)) 8.399 * [backup-simplify]: Simplify (+ 0 (/ 2 (pow y 2))) into (* 2 (/ 1 (pow y 2))) 8.399 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 8.399 * [taylor]: Taking taylor expansion of 2 in y 8.399 * [backup-simplify]: Simplify 2 into 2 8.399 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.399 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.399 * [taylor]: Taking taylor expansion of y in y 8.399 * [backup-simplify]: Simplify 0 into 0 8.399 * [backup-simplify]: Simplify 1 into 1 8.399 * [backup-simplify]: Simplify (* 1 1) into 1 8.400 * [backup-simplify]: Simplify (/ 1 1) into 1 8.400 * [backup-simplify]: Simplify (* 2 1) into 2 8.400 * [backup-simplify]: Simplify 2 into 2 8.400 * [backup-simplify]: Simplify 1 into 1 8.401 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.403 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.403 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 8.404 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0 8.404 * [backup-simplify]: Simplify (+ 0 0) into 0 8.404 * [taylor]: Taking taylor expansion of 0 in y 8.404 * [backup-simplify]: Simplify 0 into 0 8.405 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.407 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 8.407 * [backup-simplify]: Simplify 0 into 0 8.407 * [backup-simplify]: Simplify 0 into 0 8.407 * [backup-simplify]: Simplify 0 into 0 8.408 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.410 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.410 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 8.411 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 8.412 * [backup-simplify]: Simplify (+ 0 0) into 0 8.412 * [taylor]: Taking taylor expansion of 0 in y 8.412 * [backup-simplify]: Simplify 0 into 0 8.413 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.415 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 8.415 * [backup-simplify]: Simplify 0 into 0 8.415 * [backup-simplify]: Simplify 0 into 0 8.415 * [backup-simplify]: Simplify 0 into 0 8.416 * [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))) 8.416 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1) 8.416 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2)) 8.416 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 8.416 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 8.416 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.416 * [taylor]: Taking taylor expansion of x in y 8.416 * [backup-simplify]: Simplify x into x 8.416 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.416 * [taylor]: Taking taylor expansion of y in y 8.416 * [backup-simplify]: Simplify 0 into 0 8.416 * [backup-simplify]: Simplify 1 into 1 8.416 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 8.416 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.416 * [taylor]: Taking taylor expansion of x in x 8.416 * [backup-simplify]: Simplify 0 into 0 8.416 * [backup-simplify]: Simplify 1 into 1 8.416 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.416 * [taylor]: Taking taylor expansion of y in x 8.417 * [backup-simplify]: Simplify y into y 8.417 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 8.417 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.417 * [taylor]: Taking taylor expansion of x in x 8.417 * [backup-simplify]: Simplify 0 into 0 8.417 * [backup-simplify]: Simplify 1 into 1 8.417 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.417 * [taylor]: Taking taylor expansion of y in x 8.417 * [backup-simplify]: Simplify y into y 8.417 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.417 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 8.417 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.417 * [taylor]: Taking taylor expansion of y in y 8.417 * [backup-simplify]: Simplify 0 into 0 8.417 * [backup-simplify]: Simplify 1 into 1 8.417 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.418 * [backup-simplify]: Simplify (+ 0 0) into 0 8.418 * [taylor]: Taking taylor expansion of 0 in y 8.418 * [backup-simplify]: Simplify 0 into 0 8.418 * [backup-simplify]: Simplify 0 into 0 8.418 * [backup-simplify]: Simplify (* 1 1) into 1 8.419 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.419 * [backup-simplify]: Simplify (+ 1 0) into 1 8.419 * [taylor]: Taking taylor expansion of 1 in y 8.419 * [backup-simplify]: Simplify 1 into 1 8.419 * [backup-simplify]: Simplify 1 into 1 8.419 * [backup-simplify]: Simplify 0 into 0 8.420 * [backup-simplify]: Simplify (* 1 1) into 1 8.420 * [backup-simplify]: Simplify 1 into 1 8.421 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.422 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 8.422 * [backup-simplify]: Simplify (+ 0 0) into 0 8.422 * [taylor]: Taking taylor expansion of 0 in y 8.422 * [backup-simplify]: Simplify 0 into 0 8.422 * [backup-simplify]: Simplify 0 into 0 8.422 * [backup-simplify]: Simplify 0 into 0 8.422 * [backup-simplify]: Simplify 0 into 0 8.423 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.423 * [backup-simplify]: Simplify 0 into 0 8.424 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.425 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 8.425 * [backup-simplify]: Simplify (+ 0 0) into 0 8.425 * [taylor]: Taking taylor expansion of 0 in y 8.425 * [backup-simplify]: Simplify 0 into 0 8.425 * [backup-simplify]: Simplify 0 into 0 8.425 * [backup-simplify]: Simplify 0 into 0 8.425 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2)) 8.425 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 8.426 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 8.426 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 8.426 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 8.426 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.426 * [taylor]: Taking taylor expansion of x in y 8.426 * [backup-simplify]: Simplify x into x 8.426 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.426 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.426 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.426 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.426 * [taylor]: Taking taylor expansion of y in y 8.426 * [backup-simplify]: Simplify 0 into 0 8.426 * [backup-simplify]: Simplify 1 into 1 8.426 * [backup-simplify]: Simplify (* 1 1) into 1 8.426 * [backup-simplify]: Simplify (/ 1 1) into 1 8.426 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 8.426 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.426 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.426 * [taylor]: Taking taylor expansion of x in x 8.426 * [backup-simplify]: Simplify 0 into 0 8.426 * [backup-simplify]: Simplify 1 into 1 8.427 * [backup-simplify]: Simplify (* 1 1) into 1 8.427 * [backup-simplify]: Simplify (/ 1 1) into 1 8.427 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.427 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.427 * [taylor]: Taking taylor expansion of y in x 8.427 * [backup-simplify]: Simplify y into y 8.427 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.427 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.427 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 8.427 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.427 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.427 * [taylor]: Taking taylor expansion of x in x 8.427 * [backup-simplify]: Simplify 0 into 0 8.427 * [backup-simplify]: Simplify 1 into 1 8.427 * [backup-simplify]: Simplify (* 1 1) into 1 8.428 * [backup-simplify]: Simplify (/ 1 1) into 1 8.428 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.428 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.428 * [taylor]: Taking taylor expansion of y in x 8.428 * [backup-simplify]: Simplify y into y 8.428 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.428 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.428 * [backup-simplify]: Simplify (+ 1 0) into 1 8.428 * [taylor]: Taking taylor expansion of 1 in y 8.428 * [backup-simplify]: Simplify 1 into 1 8.429 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.429 * [backup-simplify]: Simplify (+ 0 0) into 0 8.429 * [taylor]: Taking taylor expansion of 0 in y 8.429 * [backup-simplify]: Simplify 0 into 0 8.430 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.431 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 8.431 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.431 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.431 * [taylor]: Taking taylor expansion of y in y 8.431 * [backup-simplify]: Simplify 0 into 0 8.431 * [backup-simplify]: Simplify 1 into 1 8.431 * [backup-simplify]: Simplify (* 1 1) into 1 8.431 * [backup-simplify]: Simplify (/ 1 1) into 1 8.431 * [backup-simplify]: Simplify 1 into 1 8.431 * [backup-simplify]: Simplify 1 into 1 8.432 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.432 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.433 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 8.433 * [backup-simplify]: Simplify (+ 0 0) into 0 8.433 * [taylor]: Taking taylor expansion of 0 in y 8.433 * [backup-simplify]: Simplify 0 into 0 8.433 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.434 * [backup-simplify]: Simplify 0 into 0 8.434 * [backup-simplify]: Simplify 0 into 0 8.434 * [backup-simplify]: Simplify 0 into 0 8.434 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.435 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.436 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 8.436 * [backup-simplify]: Simplify (+ 0 0) into 0 8.436 * [taylor]: Taking taylor expansion of 0 in y 8.436 * [backup-simplify]: Simplify 0 into 0 8.436 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.437 * [backup-simplify]: Simplify 0 into 0 8.437 * [backup-simplify]: Simplify 0 into 0 8.437 * [backup-simplify]: Simplify 0 into 0 8.437 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2)) 8.437 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 8.437 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 8.437 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 8.437 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 8.437 * [taylor]: Taking taylor expansion of (pow x 2) in y 8.438 * [taylor]: Taking taylor expansion of x in y 8.438 * [backup-simplify]: Simplify x into x 8.438 * [backup-simplify]: Simplify (* x x) into (pow x 2) 8.438 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 8.438 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.438 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.438 * [taylor]: Taking taylor expansion of y in y 8.438 * [backup-simplify]: Simplify 0 into 0 8.438 * [backup-simplify]: Simplify 1 into 1 8.438 * [backup-simplify]: Simplify (* 1 1) into 1 8.438 * [backup-simplify]: Simplify (/ 1 1) into 1 8.438 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 8.438 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.438 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.438 * [taylor]: Taking taylor expansion of x in x 8.438 * [backup-simplify]: Simplify 0 into 0 8.438 * [backup-simplify]: Simplify 1 into 1 8.439 * [backup-simplify]: Simplify (* 1 1) into 1 8.439 * [backup-simplify]: Simplify (/ 1 1) into 1 8.439 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.439 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.439 * [taylor]: Taking taylor expansion of y in x 8.439 * [backup-simplify]: Simplify y into y 8.439 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.439 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.439 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 8.439 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 8.439 * [taylor]: Taking taylor expansion of (pow x 2) in x 8.439 * [taylor]: Taking taylor expansion of x in x 8.439 * [backup-simplify]: Simplify 0 into 0 8.439 * [backup-simplify]: Simplify 1 into 1 8.439 * [backup-simplify]: Simplify (* 1 1) into 1 8.440 * [backup-simplify]: Simplify (/ 1 1) into 1 8.440 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 8.440 * [taylor]: Taking taylor expansion of (pow y 2) in x 8.440 * [taylor]: Taking taylor expansion of y in x 8.440 * [backup-simplify]: Simplify y into y 8.440 * [backup-simplify]: Simplify (* y y) into (pow y 2) 8.440 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 8.440 * [backup-simplify]: Simplify (+ 1 0) into 1 8.440 * [taylor]: Taking taylor expansion of 1 in y 8.440 * [backup-simplify]: Simplify 1 into 1 8.441 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.441 * [backup-simplify]: Simplify (+ 0 0) into 0 8.441 * [taylor]: Taking taylor expansion of 0 in y 8.441 * [backup-simplify]: Simplify 0 into 0 8.442 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.442 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 8.442 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 8.442 * [taylor]: Taking taylor expansion of (pow y 2) in y 8.442 * [taylor]: Taking taylor expansion of y in y 8.442 * [backup-simplify]: Simplify 0 into 0 8.442 * [backup-simplify]: Simplify 1 into 1 8.443 * [backup-simplify]: Simplify (* 1 1) into 1 8.443 * [backup-simplify]: Simplify (/ 1 1) into 1 8.443 * [backup-simplify]: Simplify 1 into 1 8.443 * [backup-simplify]: Simplify 1 into 1 8.444 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.444 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 8.444 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 8.445 * [backup-simplify]: Simplify (+ 0 0) into 0 8.445 * [taylor]: Taking taylor expansion of 0 in y 8.445 * [backup-simplify]: Simplify 0 into 0 8.448 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.448 * [backup-simplify]: Simplify 0 into 0 8.448 * [backup-simplify]: Simplify 0 into 0 8.448 * [backup-simplify]: Simplify 0 into 0 8.449 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.450 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 8.450 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 8.450 * [backup-simplify]: Simplify (+ 0 0) into 0 8.450 * [taylor]: Taking taylor expansion of 0 in y 8.451 * [backup-simplify]: Simplify 0 into 0 8.451 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.452 * [backup-simplify]: Simplify 0 into 0 8.452 * [backup-simplify]: Simplify 0 into 0 8.452 * [backup-simplify]: Simplify 0 into 0 8.452 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2)) 8.452 * * * [progress]: simplifying candidates 8.453 * [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)) (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* 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))) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 8.455 * * [simplify]: Extracting # 0 : cost 0 8.455 * * [simplify]: Extracting # 1 : cost 0 8.456 * * [simplify]: Extracting # 2 : cost 0 8.456 * * [simplify]: Extracting # 3 : cost 0 8.456 * * [simplify]: Extracting # 4 : cost 0 8.456 * * [simplify]: Extracting # 5 : cost 0 8.456 * * [simplify]: Extracting # 6 : cost 0 8.457 * * [simplify]: iteration 0 : 70 enodes (cost 791 ) 8.479 * * [simplify]: Extracting # 0 : cost 0 8.480 * * [simplify]: Extracting # 1 : cost 0 8.480 * * [simplify]: Extracting # 2 : cost 0 8.480 * * [simplify]: Extracting # 3 : cost 0 8.480 * * [simplify]: Extracting # 4 : cost 0 8.481 * * [simplify]: iteration 1 : 211 enodes (cost 667 ) 8.594 * * [simplify]: Extracting # 0 : cost 0 8.595 * * [simplify]: Extracting # 1 : cost 0 8.597 * * [simplify]: Extracting # 2 : cost 0 8.598 * * [simplify]: Extracting # 3 : cost 0 8.600 * * [simplify]: Extracting # 4 : cost 0 8.601 * * [simplify]: iteration 2 : 725 enodes (cost 591 ) 9.475 * * [simplify]: Extracting # 0 : cost 0 9.483 * * [simplify]: Extracting # 1 : cost 0 9.488 * * [simplify]: Extracting # 2 : cost 0 9.493 * * [simplify]: Extracting # 3 : cost 0 9.498 * * [simplify]: Extracting # 4 : cost 0 9.504 * * [simplify]: iteration 3 : 2852 enodes (cost 513 ) 11.058 * * [simplify]: Extracting # 0 : cost 0 11.063 * * [simplify]: Extracting # 1 : cost 0 11.075 * * [simplify]: Extracting # 2 : cost 0 11.080 * * [simplify]: Extracting # 3 : cost 0 11.087 * * [simplify]: Extracting # 4 : cost 0 11.098 * * [simplify]: iteration done: 5000 enodes (cost 513 ) 11.098 * [simplify]: Simplified to: (exp (+ (pow x 2) (* 3 (pow y 2)))) (exp (+ (pow x 2) (* 3 (pow y 2)))) (exp (+ (pow x 2) (* 3 (pow y 2)))) (log (+ (pow x 2) (* 3 (pow y 2)))) (exp (+ (pow x 2) (* 3 (pow y 2)))) (* (cbrt (+ (pow x 2) (* 3 (pow y 2)))) (cbrt (+ (pow x 2) (* 3 (pow y 2))))) (cbrt (+ (pow x 2) (* 3 (pow y 2)))) (pow (+ (pow x 2) (* 3 (pow y 2))) 3) (sqrt (+ (pow x 2) (* 3 (pow y 2)))) (sqrt (+ (pow x 2) (* 3 (pow y 2)))) (+ (pow (+ (pow x 2) (* 2 (pow y 2))) 3) (pow y 6)) (+ (* (+ (pow x 2) (* 2 (pow y 2))) (+ (* x x) (* y y))) (pow y 4)) (* (+ (* x x) (* y y)) (+ (pow x 2) (* 3 (pow y 2)))) (+ (* x x) (* y y)) (* 2 (pow y 2)) (exp (+ (pow x 2) (* 2 (pow y 2)))) (exp (+ (pow x 2) (* 2 (pow y 2)))) (log (+ (pow x 2) (* 2 (pow y 2)))) (exp (+ (pow x 2) (* 2 (pow y 2)))) (* (cbrt (+ (pow x 2) (* 2 (pow y 2)))) (cbrt (+ (pow x 2) (* 2 (pow y 2))))) (cbrt (+ (pow x 2) (* 2 (pow y 2)))) (pow (+ (pow x 2) (* 2 (pow y 2))) 3) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (sqrt (+ (pow x 2) (* 2 (pow y 2)))) (+ (pow (+ (pow x 2) (pow y 2)) 3) (pow y 6)) (+ (+ (pow y 4) (* (* x x) (* y y))) (pow x 4)) (* (+ (pow x 2) (* 2 (pow y 2))) (* x x)) (* x x) (* 2 (pow y 2)) (exp (+ (* x x) (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (pow (+ (pow x 2) (pow y 2)) 3) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow y 6) (pow x 6)) (+ (pow x 4) (* (* y y) (- (* y y) (* x x)))) (- (pow x 4) (pow y 4)) (- (* x x) (* 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))) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) 11.099 * * * [progress]: adding candidates to table 11.294 * * [progress]: iteration 4 / 4 11.294 * * * [progress]: picking best candidate 11.301 * * * * [pick]: Picked # 11.301 * * * [progress]: localizing error 11.311 * * * [progress]: generating rewritten candidates 11.311 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 2) 11.337 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 11.474 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 11.506 * * * [progress]: generating series expansions 11.506 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 2) 11.507 * [backup-simplify]: Simplify (* (cbrt 3) (* y y)) into (* (cbrt 3) (pow y 2)) 11.507 * [approximate]: Taking taylor expansion of (* (cbrt 3) (pow y 2)) in (y) around 0 11.507 * [taylor]: Taking taylor expansion of (* (cbrt 3) (pow y 2)) in y 11.507 * [taylor]: Taking taylor expansion of (cbrt 3) in y 11.507 * [taylor]: Taking taylor expansion of 3 in y 11.507 * [backup-simplify]: Simplify 3 into 3 11.508 * [backup-simplify]: Simplify (cbrt 3) into (cbrt 3) 11.509 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 3))) into 0 11.509 * [taylor]: Taking taylor expansion of (pow y 2) in y 11.509 * [taylor]: Taking taylor expansion of y in y 11.509 * [backup-simplify]: Simplify 0 into 0 11.509 * [backup-simplify]: Simplify 1 into 1 11.509 * [taylor]: Taking taylor expansion of (* (cbrt 3) (pow y 2)) in y 11.509 * [taylor]: Taking taylor expansion of (cbrt 3) in y 11.509 * [taylor]: Taking taylor expansion of 3 in y 11.509 * [backup-simplify]: Simplify 3 into 3 11.509 * [backup-simplify]: Simplify (cbrt 3) into (cbrt 3) 11.510 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 3))) into 0 11.510 * [taylor]: Taking taylor expansion of (pow y 2) in y 11.510 * [taylor]: Taking taylor expansion of y in y 11.510 * [backup-simplify]: Simplify 0 into 0 11.510 * [backup-simplify]: Simplify 1 into 1 11.511 * [backup-simplify]: Simplify (* 1 1) into 1 11.511 * [backup-simplify]: Simplify (* (cbrt 3) 1) into (cbrt 3) 11.512 * [backup-simplify]: Simplify (cbrt 3) into (cbrt 3) 11.512 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.513 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (* 0 1)) into 0 11.513 * [backup-simplify]: Simplify 0 into 0 11.514 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.516 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt 3))))) (* 3 (cbrt 3))) into 0 11.517 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (* 0 1))) into 0 11.517 * [backup-simplify]: Simplify 0 into 0 11.518 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.519 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt 3))) into 0 11.520 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.520 * [backup-simplify]: Simplify 0 into 0 11.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.522 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt 3))))) (* 3 (cbrt 3))) into 0 11.523 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.523 * [backup-simplify]: Simplify 0 into 0 11.524 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 11.524 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt 3))) into 0 11.525 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 11.525 * [backup-simplify]: Simplify 0 into 0 11.526 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 11.527 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt 3))))) (* 3 (cbrt 3))) into 0 11.528 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 11.528 * [backup-simplify]: Simplify 0 into 0 11.528 * [backup-simplify]: Simplify (* (cbrt 3) (pow y 2)) into (* (cbrt 3) (pow y 2)) 11.529 * [backup-simplify]: Simplify (* (cbrt 3) (* (/ 1 y) (/ 1 y))) into (/ (cbrt 3) (pow y 2)) 11.529 * [approximate]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in (y) around 0 11.529 * [taylor]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in y 11.529 * [taylor]: Taking taylor expansion of (cbrt 3) in y 11.529 * [taylor]: Taking taylor expansion of 3 in y 11.529 * [backup-simplify]: Simplify 3 into 3 11.529 * [backup-simplify]: Simplify (cbrt 3) into (cbrt 3) 11.529 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 3))) into 0 11.529 * [taylor]: Taking taylor expansion of (pow y 2) in y 11.529 * [taylor]: Taking taylor expansion of y in y 11.530 * [backup-simplify]: Simplify 0 into 0 11.530 * [backup-simplify]: Simplify 1 into 1 11.530 * [backup-simplify]: Simplify (* 1 1) into 1 11.530 * [backup-simplify]: Simplify (/ (cbrt 3) 1) into (cbrt 3) 11.530 * [taylor]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in y 11.530 * [taylor]: Taking taylor expansion of (cbrt 3) in y 11.530 * [taylor]: Taking taylor expansion of 3 in y 11.530 * [backup-simplify]: Simplify 3 into 3 11.531 * [backup-simplify]: Simplify (cbrt 3) into (cbrt 3) 11.531 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 3))) into 0 11.531 * [taylor]: Taking taylor expansion of (pow y 2) in y 11.531 * [taylor]: Taking taylor expansion of y in y 11.531 * [backup-simplify]: Simplify 0 into 0 11.531 * [backup-simplify]: Simplify 1 into 1 11.531 * [backup-simplify]: Simplify (* 1 1) into 1 11.532 * [backup-simplify]: Simplify (/ (cbrt 3) 1) into (cbrt 3) 11.532 * [backup-simplify]: Simplify (cbrt 3) into (cbrt 3) 11.533 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.533 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt 3) (/ 0 1)))) into 0 11.533 * [backup-simplify]: Simplify 0 into 0 11.534 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt 3))))) (* 3 (cbrt 3))) into 0 11.535 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.535 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt 3) (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.535 * [backup-simplify]: Simplify 0 into 0 11.536 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt 3))) into 0 11.537 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.537 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt 3) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.537 * [backup-simplify]: Simplify 0 into 0 11.538 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt 3))))) (* 3 (cbrt 3))) into 0 11.539 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.540 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt 3) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.540 * [backup-simplify]: Simplify 0 into 0 11.541 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt 3))) into 0 11.541 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 11.542 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt 3) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.542 * [backup-simplify]: Simplify 0 into 0 11.543 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt 3))))) (* 3 (cbrt 3))) into 0 11.544 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 11.545 * [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 11.545 * [backup-simplify]: Simplify 0 into 0 11.545 * [backup-simplify]: Simplify (* (cbrt 3) (pow (/ 1 (/ 1 y)) 2)) into (* (cbrt 3) (pow y 2)) 11.545 * [backup-simplify]: Simplify (* (cbrt 3) (* (/ 1 (- y)) (/ 1 (- y)))) into (/ (cbrt 3) (pow y 2)) 11.545 * [approximate]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in (y) around 0 11.545 * [taylor]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in y 11.545 * [taylor]: Taking taylor expansion of (cbrt 3) in y 11.545 * [taylor]: Taking taylor expansion of 3 in y 11.545 * [backup-simplify]: Simplify 3 into 3 11.546 * [backup-simplify]: Simplify (cbrt 3) into (cbrt 3) 11.546 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 3))) into 0 11.546 * [taylor]: Taking taylor expansion of (pow y 2) in y 11.546 * [taylor]: Taking taylor expansion of y in y 11.546 * [backup-simplify]: Simplify 0 into 0 11.546 * [backup-simplify]: Simplify 1 into 1 11.546 * [backup-simplify]: Simplify (* 1 1) into 1 11.547 * [backup-simplify]: Simplify (/ (cbrt 3) 1) into (cbrt 3) 11.547 * [taylor]: Taking taylor expansion of (/ (cbrt 3) (pow y 2)) in y 11.547 * [taylor]: Taking taylor expansion of (cbrt 3) in y 11.547 * [taylor]: Taking taylor expansion of 3 in y 11.547 * [backup-simplify]: Simplify 3 into 3 11.547 * [backup-simplify]: Simplify (cbrt 3) into (cbrt 3) 11.548 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 3))) into 0 11.548 * [taylor]: Taking taylor expansion of (pow y 2) in y 11.548 * [taylor]: Taking taylor expansion of y in y 11.548 * [backup-simplify]: Simplify 0 into 0 11.548 * [backup-simplify]: Simplify 1 into 1 11.548 * [backup-simplify]: Simplify (* 1 1) into 1 11.549 * [backup-simplify]: Simplify (/ (cbrt 3) 1) into (cbrt 3) 11.549 * [backup-simplify]: Simplify (cbrt 3) into (cbrt 3) 11.550 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.551 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt 3) (/ 0 1)))) into 0 11.551 * [backup-simplify]: Simplify 0 into 0 11.552 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt 3))))) (* 3 (cbrt 3))) into 0 11.553 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.555 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt 3) (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.555 * [backup-simplify]: Simplify 0 into 0 11.556 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt 3))) into 0 11.557 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.559 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt 3) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.559 * [backup-simplify]: Simplify 0 into 0 11.561 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt 3))))) (* 3 (cbrt 3))) into 0 11.562 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.563 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt 3) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.563 * [backup-simplify]: Simplify 0 into 0 11.565 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt 3))) into 0 11.566 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 11.567 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cbrt 3) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.567 * [backup-simplify]: Simplify 0 into 0 11.569 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt 3))))) (* 3 (cbrt 3))) into 0 11.571 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 11.572 * [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 11.572 * [backup-simplify]: Simplify 0 into 0 11.573 * [backup-simplify]: Simplify (* (cbrt 3) (pow (/ 1 (/ 1 (- y))) 2)) into (* (cbrt 3) (pow y 2)) 11.573 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 11.575 * [backup-simplify]: Simplify (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) into (* (pow (cbrt 3) 3) (pow y 2)) 11.575 * [approximate]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in (y) around 0 11.575 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in y 11.575 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 11.575 * [taylor]: Taking taylor expansion of (cbrt 3) in y 11.575 * [taylor]: Taking taylor expansion of 3 in y 11.575 * [backup-simplify]: Simplify 3 into 3 11.575 * [backup-simplify]: Simplify (cbrt 3) into (cbrt 3) 11.576 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 3))) into 0 11.576 * [taylor]: Taking taylor expansion of (pow y 2) in y 11.576 * [taylor]: Taking taylor expansion of y in y 11.576 * [backup-simplify]: Simplify 0 into 0 11.576 * [backup-simplify]: Simplify 1 into 1 11.576 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in y 11.576 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 11.576 * [taylor]: Taking taylor expansion of (cbrt 3) in y 11.576 * [taylor]: Taking taylor expansion of 3 in y 11.576 * [backup-simplify]: Simplify 3 into 3 11.577 * [backup-simplify]: Simplify (cbrt 3) into (cbrt 3) 11.577 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 3))) into 0 11.577 * [taylor]: Taking taylor expansion of (pow y 2) in y 11.577 * [taylor]: Taking taylor expansion of y in y 11.577 * [backup-simplify]: Simplify 0 into 0 11.577 * [backup-simplify]: Simplify 1 into 1 11.579 * [backup-simplify]: Simplify (* (cbrt 3) (cbrt 3)) into (pow (cbrt 3) 2) 11.581 * [backup-simplify]: Simplify (* (cbrt 3) (pow (cbrt 3) 2)) into (pow (cbrt 3) 3) 11.581 * [backup-simplify]: Simplify (* 1 1) into 1 11.583 * [backup-simplify]: Simplify (* (pow (cbrt 3) 3) 1) into 3 11.583 * [backup-simplify]: Simplify 3 into 3 11.584 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.584 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (* 0 (cbrt 3))) into 0 11.585 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (* 0 (pow (cbrt 3) 2))) into 0 11.586 * [backup-simplify]: Simplify (+ (* (pow (cbrt 3) 3) 0) (* 0 1)) into 0 11.586 * [backup-simplify]: Simplify 0 into 0 11.587 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.588 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt 3))))) (* 3 (cbrt 3))) into 0 11.589 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (* 0 (cbrt 3)))) into 0 11.590 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (* 0 (pow (cbrt 3) 2)))) into 0 11.591 * [backup-simplify]: Simplify (+ (* (pow (cbrt 3) 3) 0) (+ (* 0 0) (* 0 1))) into 0 11.591 * [backup-simplify]: Simplify 0 into 0 11.591 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.592 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt 3))) into 0 11.593 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 3))))) into 0 11.593 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt 3) 2))))) into 0 11.594 * [backup-simplify]: Simplify (+ (* (pow (cbrt 3) 3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.594 * [backup-simplify]: Simplify 0 into 0 11.595 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.596 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt 3))))) (* 3 (cbrt 3))) into 0 11.597 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 3)))))) into 0 11.598 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt 3) 2)))))) into 0 11.598 * [backup-simplify]: Simplify (+ (* (pow (cbrt 3) 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.598 * [backup-simplify]: Simplify 0 into 0 11.603 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 11.604 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt 3))) into 0 11.605 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 3))))))) into 0 11.606 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt 3) 2))))))) into 0 11.607 * [backup-simplify]: Simplify (+ (* (pow (cbrt 3) 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 11.607 * [backup-simplify]: Simplify 0 into 0 11.607 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 11.608 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt 3))))) (* 3 (cbrt 3))) into 0 11.609 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 3)))))))) into 0 11.610 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt 3) 2)))))))) into 0 11.612 * [backup-simplify]: Simplify (+ (* (pow (cbrt 3) 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 11.612 * [backup-simplify]: Simplify 0 into 0 11.612 * [backup-simplify]: Simplify (* 3 (pow y 2)) into (* 3 (pow y 2)) 11.613 * [backup-simplify]: Simplify (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* (/ 1 y) (/ 1 y)))) into (/ (pow (cbrt 3) 3) (pow y 2)) 11.613 * [approximate]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in (y) around 0 11.613 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 11.613 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 11.613 * [taylor]: Taking taylor expansion of (cbrt 3) in y 11.613 * [taylor]: Taking taylor expansion of 3 in y 11.613 * [backup-simplify]: Simplify 3 into 3 11.613 * [backup-simplify]: Simplify (cbrt 3) into (cbrt 3) 11.614 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 3))) into 0 11.614 * [taylor]: Taking taylor expansion of (pow y 2) in y 11.614 * [taylor]: Taking taylor expansion of y in y 11.614 * [backup-simplify]: Simplify 0 into 0 11.614 * [backup-simplify]: Simplify 1 into 1 11.615 * [backup-simplify]: Simplify (* (cbrt 3) (cbrt 3)) into (pow (cbrt 3) 2) 11.616 * [backup-simplify]: Simplify (* (cbrt 3) (pow (cbrt 3) 2)) into (pow (cbrt 3) 3) 11.616 * [backup-simplify]: Simplify (* 1 1) into 1 11.618 * [backup-simplify]: Simplify (/ (pow (cbrt 3) 3) 1) into 3 11.618 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 11.618 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 11.618 * [taylor]: Taking taylor expansion of (cbrt 3) in y 11.618 * [taylor]: Taking taylor expansion of 3 in y 11.618 * [backup-simplify]: Simplify 3 into 3 11.618 * [backup-simplify]: Simplify (cbrt 3) into (cbrt 3) 11.619 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 3))) into 0 11.619 * [taylor]: Taking taylor expansion of (pow y 2) in y 11.619 * [taylor]: Taking taylor expansion of y in y 11.619 * [backup-simplify]: Simplify 0 into 0 11.619 * [backup-simplify]: Simplify 1 into 1 11.620 * [backup-simplify]: Simplify (* (cbrt 3) (cbrt 3)) into (pow (cbrt 3) 2) 11.622 * [backup-simplify]: Simplify (* (cbrt 3) (pow (cbrt 3) 2)) into (pow (cbrt 3) 3) 11.623 * [backup-simplify]: Simplify (* 1 1) into 1 11.624 * [backup-simplify]: Simplify (/ (pow (cbrt 3) 3) 1) into 3 11.624 * [backup-simplify]: Simplify 3 into 3 11.625 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (* 0 (cbrt 3))) into 0 11.626 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (* 0 (pow (cbrt 3) 2))) into 0 11.627 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.627 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)))) into 0 11.627 * [backup-simplify]: Simplify 0 into 0 11.629 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt 3))))) (* 3 (cbrt 3))) into 0 11.630 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (* 0 (cbrt 3)))) into 0 11.631 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (* 0 (pow (cbrt 3) 2)))) into 0 11.632 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.633 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.633 * [backup-simplify]: Simplify 0 into 0 11.634 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt 3))) into 0 11.636 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 3))))) into 0 11.637 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt 3) 2))))) into 0 11.637 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.638 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.638 * [backup-simplify]: Simplify 0 into 0 11.639 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt 3))))) (* 3 (cbrt 3))) into 0 11.640 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 3)))))) into 0 11.641 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt 3) 2)))))) into 0 11.642 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.642 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.642 * [backup-simplify]: Simplify 0 into 0 11.643 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt 3))) into 0 11.644 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 3))))))) into 0 11.645 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt 3) 2))))))) into 0 11.646 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 11.647 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.647 * [backup-simplify]: Simplify 0 into 0 11.648 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt 3))))) (* 3 (cbrt 3))) into 0 11.649 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 3)))))))) into 0 11.650 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt 3) 2)))))))) into 0 11.650 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 11.651 * [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 11.651 * [backup-simplify]: Simplify 0 into 0 11.651 * [backup-simplify]: Simplify (* 3 (pow (/ 1 (/ 1 y)) 2)) into (* 3 (pow y 2)) 11.652 * [backup-simplify]: Simplify (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* (/ 1 (- y)) (/ 1 (- y))))) into (/ (pow (cbrt 3) 3) (pow y 2)) 11.652 * [approximate]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in (y) around 0 11.652 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 11.653 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 11.653 * [taylor]: Taking taylor expansion of (cbrt 3) in y 11.653 * [taylor]: Taking taylor expansion of 3 in y 11.653 * [backup-simplify]: Simplify 3 into 3 11.653 * [backup-simplify]: Simplify (cbrt 3) into (cbrt 3) 11.653 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 3))) into 0 11.653 * [taylor]: Taking taylor expansion of (pow y 2) in y 11.653 * [taylor]: Taking taylor expansion of y in y 11.653 * [backup-simplify]: Simplify 0 into 0 11.653 * [backup-simplify]: Simplify 1 into 1 11.654 * [backup-simplify]: Simplify (* (cbrt 3) (cbrt 3)) into (pow (cbrt 3) 2) 11.655 * [backup-simplify]: Simplify (* (cbrt 3) (pow (cbrt 3) 2)) into (pow (cbrt 3) 3) 11.656 * [backup-simplify]: Simplify (* 1 1) into 1 11.656 * [backup-simplify]: Simplify (/ (pow (cbrt 3) 3) 1) into 3 11.657 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 11.657 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 11.657 * [taylor]: Taking taylor expansion of (cbrt 3) in y 11.657 * [taylor]: Taking taylor expansion of 3 in y 11.657 * [backup-simplify]: Simplify 3 into 3 11.657 * [backup-simplify]: Simplify (cbrt 3) into (cbrt 3) 11.657 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 3))) into 0 11.657 * [taylor]: Taking taylor expansion of (pow y 2) in y 11.657 * [taylor]: Taking taylor expansion of y in y 11.657 * [backup-simplify]: Simplify 0 into 0 11.657 * [backup-simplify]: Simplify 1 into 1 11.658 * [backup-simplify]: Simplify (* (cbrt 3) (cbrt 3)) into (pow (cbrt 3) 2) 11.659 * [backup-simplify]: Simplify (* (cbrt 3) (pow (cbrt 3) 2)) into (pow (cbrt 3) 3) 11.660 * [backup-simplify]: Simplify (* 1 1) into 1 11.660 * [backup-simplify]: Simplify (/ (pow (cbrt 3) 3) 1) into 3 11.661 * [backup-simplify]: Simplify 3 into 3 11.661 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (* 0 (cbrt 3))) into 0 11.662 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (* 0 (pow (cbrt 3) 2))) into 0 11.662 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.662 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)))) into 0 11.662 * [backup-simplify]: Simplify 0 into 0 11.663 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt 3))))) (* 3 (cbrt 3))) into 0 11.664 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (* 0 (cbrt 3)))) into 0 11.665 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (* 0 (pow (cbrt 3) 2)))) into 0 11.665 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.666 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.666 * [backup-simplify]: Simplify 0 into 0 11.666 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt 3))) into 0 11.667 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 3))))) into 0 11.668 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt 3) 2))))) into 0 11.669 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.669 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.669 * [backup-simplify]: Simplify 0 into 0 11.670 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt 3))))) (* 3 (cbrt 3))) into 0 11.671 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 3)))))) into 0 11.672 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt 3) 2)))))) into 0 11.673 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.674 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.674 * [backup-simplify]: Simplify 0 into 0 11.674 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)))) (* 3 (cbrt 3))) into 0 11.675 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 3))))))) into 0 11.676 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt 3) 2))))))) into 0 11.677 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 11.678 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.678 * [backup-simplify]: Simplify 0 into 0 11.679 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt 3))))) (* 3 (cbrt 3))) into 0 11.680 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 3)))))))) into 0 11.681 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt 3) 2)))))))) into 0 11.682 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 11.682 * [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 11.682 * [backup-simplify]: Simplify 0 into 0 11.683 * [backup-simplify]: Simplify (* 3 (pow (/ 1 (/ 1 (- y))) 2)) into (* 3 (pow y 2)) 11.683 * * * * [progress]: [ 3 / 3 ] generating series at (2) 11.684 * [backup-simplify]: Simplify (+ (* x x) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) into (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 2))) 11.684 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 2))) in (x y) around 0 11.684 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 2))) in y 11.684 * [taylor]: Taking taylor expansion of (pow x 2) in y 11.684 * [taylor]: Taking taylor expansion of x in y 11.684 * [backup-simplify]: Simplify x into x 11.684 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in y 11.684 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 11.684 * [taylor]: Taking taylor expansion of (cbrt 3) in y 11.684 * [taylor]: Taking taylor expansion of 3 in y 11.684 * [backup-simplify]: Simplify 3 into 3 11.685 * [backup-simplify]: Simplify (cbrt 3) into (cbrt 3) 11.685 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 3))) into 0 11.685 * [taylor]: Taking taylor expansion of (pow y 2) in y 11.685 * [taylor]: Taking taylor expansion of y in y 11.685 * [backup-simplify]: Simplify 0 into 0 11.685 * [backup-simplify]: Simplify 1 into 1 11.685 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 2))) in x 11.685 * [taylor]: Taking taylor expansion of (pow x 2) in x 11.685 * [taylor]: Taking taylor expansion of x in x 11.685 * [backup-simplify]: Simplify 0 into 0 11.685 * [backup-simplify]: Simplify 1 into 1 11.685 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in x 11.685 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in x 11.685 * [taylor]: Taking taylor expansion of (cbrt 3) in x 11.685 * [taylor]: Taking taylor expansion of 3 in x 11.685 * [backup-simplify]: Simplify 3 into 3 11.685 * [backup-simplify]: Simplify (cbrt 3) into (cbrt 3) 11.686 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 3))) into 0 11.686 * [taylor]: Taking taylor expansion of (pow y 2) in x 11.686 * [taylor]: Taking taylor expansion of y in x 11.686 * [backup-simplify]: Simplify y into y 11.686 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* (pow (cbrt 3) 3) (pow y 2))) in x 11.686 * [taylor]: Taking taylor expansion of (pow x 2) in x 11.686 * [taylor]: Taking taylor expansion of x in x 11.686 * [backup-simplify]: Simplify 0 into 0 11.686 * [backup-simplify]: Simplify 1 into 1 11.686 * [taylor]: Taking taylor expansion of (* (pow (cbrt 3) 3) (pow y 2)) in x 11.686 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in x 11.686 * [taylor]: Taking taylor expansion of (cbrt 3) in x 11.686 * [taylor]: Taking taylor expansion of 3 in x 11.686 * [backup-simplify]: Simplify 3 into 3 11.686 * [backup-simplify]: Simplify (cbrt 3) into (cbrt 3) 11.687 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 3))) into 0 11.687 * [taylor]: Taking taylor expansion of (pow y 2) in x 11.687 * [taylor]: Taking taylor expansion of y in x 11.687 * [backup-simplify]: Simplify y into y 11.688 * [backup-simplify]: Simplify (* (cbrt 3) (cbrt 3)) into (pow (cbrt 3) 2) 11.689 * [backup-simplify]: Simplify (* (cbrt 3) (pow (cbrt 3) 2)) into (pow (cbrt 3) 3) 11.689 * [backup-simplify]: Simplify (* y y) into (pow y 2) 11.690 * [backup-simplify]: Simplify (* (pow (cbrt 3) 3) (pow y 2)) into (* 3 (pow y 2)) 11.690 * [backup-simplify]: Simplify (+ 0 (* 3 (pow y 2))) into (* 3 (pow y 2)) 11.690 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 11.690 * [taylor]: Taking taylor expansion of 3 in y 11.690 * [backup-simplify]: Simplify 3 into 3 11.690 * [taylor]: Taking taylor expansion of (pow y 2) in y 11.690 * [taylor]: Taking taylor expansion of y in y 11.690 * [backup-simplify]: Simplify 0 into 0 11.690 * [backup-simplify]: Simplify 1 into 1 11.690 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 11.691 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (* 0 (cbrt 3))) into 0 11.691 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (* 0 (pow (cbrt 3) 2))) into 0 11.692 * [backup-simplify]: Simplify (+ (* (pow (cbrt 3) 3) 0) (* 0 (pow y 2))) into 0 11.692 * [backup-simplify]: Simplify (+ 0 0) into 0 11.692 * [taylor]: Taking taylor expansion of 0 in y 11.692 * [backup-simplify]: Simplify 0 into 0 11.692 * [backup-simplify]: Simplify 0 into 0 11.692 * [backup-simplify]: Simplify (* 1 1) into 1 11.692 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 11.693 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt 3))))) (* 3 (cbrt 3))) into 0 11.694 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (* 0 (cbrt 3)))) into 0 11.695 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (* 0 (pow (cbrt 3) 2)))) into 0 11.695 * [backup-simplify]: Simplify (+ (* (pow (cbrt 3) 3) 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 11.696 * [backup-simplify]: Simplify (+ 1 0) into 1 11.696 * [taylor]: Taking taylor expansion of 1 in y 11.696 * [backup-simplify]: Simplify 1 into 1 11.696 * [backup-simplify]: Simplify 1 into 1 11.696 * [backup-simplify]: Simplify 0 into 0 11.696 * [backup-simplify]: Simplify (* 1 1) into 1 11.696 * [backup-simplify]: Simplify (* 3 1) into 3 11.696 * [backup-simplify]: Simplify 3 into 3 11.697 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.697 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 11.698 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt 3))) into 0 11.701 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 3))))) into 0 11.702 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt 3) 2))))) into 0 11.704 * [backup-simplify]: Simplify (+ (* (pow (cbrt 3) 3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 11.704 * [backup-simplify]: Simplify (+ 0 0) into 0 11.704 * [taylor]: Taking taylor expansion of 0 in y 11.704 * [backup-simplify]: Simplify 0 into 0 11.704 * [backup-simplify]: Simplify 0 into 0 11.704 * [backup-simplify]: Simplify 0 into 0 11.704 * [backup-simplify]: Simplify 0 into 0 11.704 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.705 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 11.705 * [backup-simplify]: Simplify 0 into 0 11.705 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.706 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 11.707 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)) (* 2 (* 0 0 (cbrt 3))))) (* 3 (cbrt 3))) into 0 11.708 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt 3)))))) into 0 11.709 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt 3) 2)))))) into 0 11.710 * [backup-simplify]: Simplify (+ (* (pow (cbrt 3) 3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 11.710 * [backup-simplify]: Simplify (+ 0 0) into 0 11.710 * [taylor]: Taking taylor expansion of 0 in y 11.710 * [backup-simplify]: Simplify 0 into 0 11.710 * [backup-simplify]: Simplify 0 into 0 11.710 * [backup-simplify]: Simplify 0 into 0 11.710 * [backup-simplify]: Simplify (+ (* 3 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 3 (pow y 2))) 11.712 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* (/ 1 y) (/ 1 y))))) into (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) 11.712 * [approximate]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0 11.712 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in y 11.712 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 11.712 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 11.712 * [taylor]: Taking taylor expansion of (cbrt 3) in y 11.712 * [taylor]: Taking taylor expansion of 3 in y 11.712 * [backup-simplify]: Simplify 3 into 3 11.712 * [backup-simplify]: Simplify (cbrt 3) into (cbrt 3) 11.712 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 3))) into 0 11.713 * [taylor]: Taking taylor expansion of (pow y 2) in y 11.713 * [taylor]: Taking taylor expansion of y in y 11.713 * [backup-simplify]: Simplify 0 into 0 11.713 * [backup-simplify]: Simplify 1 into 1 11.713 * [backup-simplify]: Simplify (* (cbrt 3) (cbrt 3)) into (pow (cbrt 3) 2) 11.715 * [backup-simplify]: Simplify (* (cbrt 3) (pow (cbrt 3) 2)) into (pow (cbrt 3) 3) 11.715 * [backup-simplify]: Simplify (* 1 1) into 1 11.716 * [backup-simplify]: Simplify (/ (pow (cbrt 3) 3) 1) into 3 11.716 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 11.716 * [taylor]: Taking taylor expansion of (pow x 2) in y 11.716 * [taylor]: Taking taylor expansion of x in y 11.716 * [backup-simplify]: Simplify x into x 11.716 * [backup-simplify]: Simplify (* x x) into (pow x 2) 11.716 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 11.716 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in x 11.716 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in x 11.716 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in x 11.716 * [taylor]: Taking taylor expansion of (cbrt 3) in x 11.716 * [taylor]: Taking taylor expansion of 3 in x 11.716 * [backup-simplify]: Simplify 3 into 3 11.716 * [backup-simplify]: Simplify (cbrt 3) into (cbrt 3) 11.717 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 3))) into 0 11.717 * [taylor]: Taking taylor expansion of (pow y 2) in x 11.717 * [taylor]: Taking taylor expansion of y in x 11.717 * [backup-simplify]: Simplify y into y 11.718 * [backup-simplify]: Simplify (* (cbrt 3) (cbrt 3)) into (pow (cbrt 3) 2) 11.719 * [backup-simplify]: Simplify (* (cbrt 3) (pow (cbrt 3) 2)) into (pow (cbrt 3) 3) 11.719 * [backup-simplify]: Simplify (* y y) into (pow y 2) 11.720 * [backup-simplify]: Simplify (/ (pow (cbrt 3) 3) (pow y 2)) into (/ 3 (pow y 2)) 11.720 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 11.720 * [taylor]: Taking taylor expansion of (pow x 2) in x 11.720 * [taylor]: Taking taylor expansion of x in x 11.720 * [backup-simplify]: Simplify 0 into 0 11.720 * [backup-simplify]: Simplify 1 into 1 11.720 * [backup-simplify]: Simplify (* 1 1) into 1 11.720 * [backup-simplify]: Simplify (/ 1 1) into 1 11.720 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in x 11.720 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in x 11.720 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in x 11.720 * [taylor]: Taking taylor expansion of (cbrt 3) in x 11.720 * [taylor]: Taking taylor expansion of 3 in x 11.720 * [backup-simplify]: Simplify 3 into 3 11.721 * [backup-simplify]: Simplify (cbrt 3) into (cbrt 3) 11.721 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 3))) into 0 11.721 * [taylor]: Taking taylor expansion of (pow y 2) in x 11.721 * [taylor]: Taking taylor expansion of y in x 11.721 * [backup-simplify]: Simplify y into y 11.722 * [backup-simplify]: Simplify (* (cbrt 3) (cbrt 3)) into (pow (cbrt 3) 2) 11.723 * [backup-simplify]: Simplify (* (cbrt 3) (pow (cbrt 3) 2)) into (pow (cbrt 3) 3) 11.723 * [backup-simplify]: Simplify (* y y) into (pow y 2) 11.724 * [backup-simplify]: Simplify (/ (pow (cbrt 3) 3) (pow y 2)) into (/ 3 (pow y 2)) 11.724 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 11.724 * [taylor]: Taking taylor expansion of (pow x 2) in x 11.724 * [taylor]: Taking taylor expansion of x in x 11.724 * [backup-simplify]: Simplify 0 into 0 11.724 * [backup-simplify]: Simplify 1 into 1 11.724 * [backup-simplify]: Simplify (* 1 1) into 1 11.724 * [backup-simplify]: Simplify (/ 1 1) into 1 11.725 * [backup-simplify]: Simplify (+ 0 1) into 1 11.725 * [taylor]: Taking taylor expansion of 1 in y 11.725 * [backup-simplify]: Simplify 1 into 1 11.726 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.727 * [backup-simplify]: Simplify (+ 0 0) into 0 11.727 * [taylor]: Taking taylor expansion of 0 in y 11.727 * [backup-simplify]: Simplify 0 into 0 11.728 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.729 * [backup-simplify]: Simplify (+ (/ 3 (pow y 2)) 0) into (* 3 (/ 1 (pow y 2))) 11.729 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 11.729 * [taylor]: Taking taylor expansion of 3 in y 11.729 * [backup-simplify]: Simplify 3 into 3 11.729 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 11.729 * [taylor]: Taking taylor expansion of (pow y 2) in y 11.729 * [taylor]: Taking taylor expansion of y in y 11.729 * [backup-simplify]: Simplify 0 into 0 11.729 * [backup-simplify]: Simplify 1 into 1 11.729 * [backup-simplify]: Simplify (* 1 1) into 1 11.730 * [backup-simplify]: Simplify (/ 1 1) into 1 11.730 * [backup-simplify]: Simplify (* 3 1) into 3 11.730 * [backup-simplify]: Simplify 3 into 3 11.730 * [backup-simplify]: Simplify 1 into 1 11.731 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (* 0 (cbrt 3))) into 0 11.732 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (* 0 (pow (cbrt 3) 2))) into 0 11.732 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 11.733 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 3 (pow y 2)) (/ 0 (pow y 2))))) into 0 11.734 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.735 * [backup-simplify]: Simplify (+ 0 0) into 0 11.735 * [taylor]: Taking taylor expansion of 0 in y 11.735 * [backup-simplify]: Simplify 0 into 0 11.736 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.737 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 11.737 * [backup-simplify]: Simplify 0 into 0 11.738 * [backup-simplify]: Simplify 0 into 0 11.738 * [backup-simplify]: Simplify 0 into 0 11.739 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt 3))))) (* 3 (cbrt 3))) into 0 11.740 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (* 0 (cbrt 3)))) into 0 11.741 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (* 0 (pow (cbrt 3) 2)))) into 0 11.742 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 11.742 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 3 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 11.743 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.745 * [backup-simplify]: Simplify (+ 0 0) into 0 11.745 * [taylor]: Taking taylor expansion of 0 in y 11.745 * [backup-simplify]: Simplify 0 into 0 11.746 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.747 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.748 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 11.748 * [backup-simplify]: Simplify 0 into 0 11.748 * [backup-simplify]: Simplify 0 into 0 11.748 * [backup-simplify]: Simplify 0 into 0 11.748 * [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))) 11.750 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* (/ 1 (- y)) (/ 1 (- y)))))) into (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) 11.750 * [approximate]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0 11.750 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in y 11.750 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in y 11.750 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in y 11.750 * [taylor]: Taking taylor expansion of (cbrt 3) in y 11.750 * [taylor]: Taking taylor expansion of 3 in y 11.751 * [backup-simplify]: Simplify 3 into 3 11.751 * [backup-simplify]: Simplify (cbrt 3) into (cbrt 3) 11.752 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 3))) into 0 11.752 * [taylor]: Taking taylor expansion of (pow y 2) in y 11.752 * [taylor]: Taking taylor expansion of y in y 11.752 * [backup-simplify]: Simplify 0 into 0 11.752 * [backup-simplify]: Simplify 1 into 1 11.753 * [backup-simplify]: Simplify (* (cbrt 3) (cbrt 3)) into (pow (cbrt 3) 2) 11.755 * [backup-simplify]: Simplify (* (cbrt 3) (pow (cbrt 3) 2)) into (pow (cbrt 3) 3) 11.755 * [backup-simplify]: Simplify (* 1 1) into 1 11.757 * [backup-simplify]: Simplify (/ (pow (cbrt 3) 3) 1) into 3 11.757 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 11.757 * [taylor]: Taking taylor expansion of (pow x 2) in y 11.757 * [taylor]: Taking taylor expansion of x in y 11.757 * [backup-simplify]: Simplify x into x 11.757 * [backup-simplify]: Simplify (* x x) into (pow x 2) 11.757 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 11.757 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in x 11.757 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in x 11.757 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in x 11.757 * [taylor]: Taking taylor expansion of (cbrt 3) in x 11.757 * [taylor]: Taking taylor expansion of 3 in x 11.757 * [backup-simplify]: Simplify 3 into 3 11.758 * [backup-simplify]: Simplify (cbrt 3) into (cbrt 3) 11.758 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 3))) into 0 11.759 * [taylor]: Taking taylor expansion of (pow y 2) in x 11.759 * [taylor]: Taking taylor expansion of y in x 11.759 * [backup-simplify]: Simplify y into y 11.760 * [backup-simplify]: Simplify (* (cbrt 3) (cbrt 3)) into (pow (cbrt 3) 2) 11.762 * [backup-simplify]: Simplify (* (cbrt 3) (pow (cbrt 3) 2)) into (pow (cbrt 3) 3) 11.762 * [backup-simplify]: Simplify (* y y) into (pow y 2) 11.763 * [backup-simplify]: Simplify (/ (pow (cbrt 3) 3) (pow y 2)) into (/ 3 (pow y 2)) 11.763 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 11.763 * [taylor]: Taking taylor expansion of (pow x 2) in x 11.763 * [taylor]: Taking taylor expansion of x in x 11.763 * [backup-simplify]: Simplify 0 into 0 11.763 * [backup-simplify]: Simplify 1 into 1 11.764 * [backup-simplify]: Simplify (* 1 1) into 1 11.764 * [backup-simplify]: Simplify (/ 1 1) into 1 11.764 * [taylor]: Taking taylor expansion of (+ (/ (pow (cbrt 3) 3) (pow y 2)) (/ 1 (pow x 2))) in x 11.764 * [taylor]: Taking taylor expansion of (/ (pow (cbrt 3) 3) (pow y 2)) in x 11.764 * [taylor]: Taking taylor expansion of (pow (cbrt 3) 3) in x 11.764 * [taylor]: Taking taylor expansion of (cbrt 3) in x 11.764 * [taylor]: Taking taylor expansion of 3 in x 11.764 * [backup-simplify]: Simplify 3 into 3 11.765 * [backup-simplify]: Simplify (cbrt 3) into (cbrt 3) 11.765 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt 3))) into 0 11.765 * [taylor]: Taking taylor expansion of (pow y 2) in x 11.765 * [taylor]: Taking taylor expansion of y in x 11.765 * [backup-simplify]: Simplify y into y 11.766 * [backup-simplify]: Simplify (* (cbrt 3) (cbrt 3)) into (pow (cbrt 3) 2) 11.768 * [backup-simplify]: Simplify (* (cbrt 3) (pow (cbrt 3) 2)) into (pow (cbrt 3) 3) 11.769 * [backup-simplify]: Simplify (* y y) into (pow y 2) 11.770 * [backup-simplify]: Simplify (/ (pow (cbrt 3) 3) (pow y 2)) into (/ 3 (pow y 2)) 11.770 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 11.770 * [taylor]: Taking taylor expansion of (pow x 2) in x 11.770 * [taylor]: Taking taylor expansion of x in x 11.770 * [backup-simplify]: Simplify 0 into 0 11.770 * [backup-simplify]: Simplify 1 into 1 11.770 * [backup-simplify]: Simplify (* 1 1) into 1 11.771 * [backup-simplify]: Simplify (/ 1 1) into 1 11.771 * [backup-simplify]: Simplify (+ 0 1) into 1 11.771 * [taylor]: Taking taylor expansion of 1 in y 11.771 * [backup-simplify]: Simplify 1 into 1 11.772 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.773 * [backup-simplify]: Simplify (+ 0 0) into 0 11.773 * [taylor]: Taking taylor expansion of 0 in y 11.773 * [backup-simplify]: Simplify 0 into 0 11.774 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.775 * [backup-simplify]: Simplify (+ (/ 3 (pow y 2)) 0) into (* 3 (/ 1 (pow y 2))) 11.775 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 11.775 * [taylor]: Taking taylor expansion of 3 in y 11.775 * [backup-simplify]: Simplify 3 into 3 11.775 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 11.775 * [taylor]: Taking taylor expansion of (pow y 2) in y 11.775 * [taylor]: Taking taylor expansion of y in y 11.775 * [backup-simplify]: Simplify 0 into 0 11.775 * [backup-simplify]: Simplify 1 into 1 11.775 * [backup-simplify]: Simplify (* 1 1) into 1 11.776 * [backup-simplify]: Simplify (/ 1 1) into 1 11.776 * [backup-simplify]: Simplify (* 3 1) into 3 11.776 * [backup-simplify]: Simplify 3 into 3 11.776 * [backup-simplify]: Simplify 1 into 1 11.777 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (* 0 (cbrt 3))) into 0 11.778 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (* 0 (pow (cbrt 3) 2))) into 0 11.778 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 11.778 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 3 (pow y 2)) (/ 0 (pow y 2))))) into 0 11.779 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.780 * [backup-simplify]: Simplify (+ 0 0) into 0 11.780 * [taylor]: Taking taylor expansion of 0 in y 11.780 * [backup-simplify]: Simplify 0 into 0 11.781 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.783 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 11.783 * [backup-simplify]: Simplify 0 into 0 11.783 * [backup-simplify]: Simplify 0 into 0 11.783 * [backup-simplify]: Simplify 0 into 0 11.785 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt 3))))) (* 3 (cbrt 3))) into 0 11.786 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (* 0 (cbrt 3)))) into 0 11.787 * [backup-simplify]: Simplify (+ (* (cbrt 3) 0) (+ (* 0 0) (* 0 (pow (cbrt 3) 2)))) into 0 11.788 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 11.789 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 3 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 11.790 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.791 * [backup-simplify]: Simplify (+ 0 0) into 0 11.791 * [taylor]: Taking taylor expansion of 0 in y 11.791 * [backup-simplify]: Simplify 0 into 0 11.792 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.794 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 11.794 * [backup-simplify]: Simplify 0 into 0 11.794 * [backup-simplify]: Simplify 0 into 0 11.794 * [backup-simplify]: Simplify 0 into 0 11.795 * [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))) 11.795 * * * [progress]: simplifying candidates 11.797 * [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 (* x x)) (exp (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))))) (log (+ (* x x) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))))) (exp (+ (* x x) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))))) (* (cbrt (+ (* x x) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))))) (cbrt (+ (* x x) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))))) (cbrt (+ (* 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) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))))) (sqrt (+ (* x x) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))))) (sqrt (+ (* x x) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))))) (+ (pow (* x x) 3) (pow (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) 3)) (+ (* (* x x) (* x x)) (- (* (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (* (* x x) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))))) (- (* (* x x) (* x x)) (* (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))))) (- (* x x) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))) (* (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))) 11.800 * * [simplify]: Extracting # 0 : cost 0 11.801 * * [simplify]: Extracting # 1 : cost 0 11.801 * * [simplify]: Extracting # 2 : cost 0 11.801 * * [simplify]: Extracting # 3 : cost 0 11.801 * * [simplify]: Extracting # 4 : cost 0 11.802 * * [simplify]: Extracting # 5 : cost 0 11.802 * * [simplify]: Extracting # 6 : cost 0 11.802 * * [simplify]: iteration 0 : 89 enodes (cost 1026 ) 11.852 * * [simplify]: Extracting # 0 : cost 0 11.853 * * [simplify]: Extracting # 1 : cost 0 11.853 * * [simplify]: Extracting # 2 : cost 0 11.854 * * [simplify]: Extracting # 3 : cost 0 11.854 * * [simplify]: Extracting # 4 : cost 0 11.855 * * [simplify]: iteration 1 : 238 enodes (cost 960 ) 12.017 * * [simplify]: Extracting # 0 : cost 0 12.019 * * [simplify]: Extracting # 1 : cost 0 12.021 * * [simplify]: Extracting # 2 : cost 0 12.023 * * [simplify]: Extracting # 3 : cost 0 12.025 * * [simplify]: Extracting # 4 : cost 0 12.026 * * [simplify]: iteration 2 : 874 enodes (cost 660 ) 13.440 * * [simplify]: Extracting # 0 : cost 0 13.452 * * [simplify]: Extracting # 1 : cost 0 13.458 * * [simplify]: Extracting # 2 : cost 0 13.464 * * [simplify]: Extracting # 3 : cost 0 13.471 * * [simplify]: Extracting # 4 : cost 0 13.477 * * [simplify]: iteration 3 : 3497 enodes (cost 507 ) 15.433 * * [simplify]: Extracting # 0 : cost 0 15.445 * * [simplify]: Extracting # 1 : cost 0 15.454 * * [simplify]: Extracting # 2 : cost 0 15.462 * * [simplify]: Extracting # 3 : cost 0 15.470 * * [simplify]: Extracting # 4 : cost 0 15.475 * * [simplify]: iteration done: 5000 enodes (cost 507 ) 15.476 * [simplify]: Simplified to: (* (cbrt 3) (* y y)) (* (cbrt 3) (* y y)) (log (* (cbrt 3) (* y y))) (log (* (cbrt 3) (* y y))) (log (* (cbrt 3) (* y y))) (exp (* (cbrt 3) (* y y))) (* 3 (pow y 6)) (* 3 (pow y 6)) (* (cbrt (* (cbrt 3) (* y y))) (cbrt (* (cbrt 3) (* y y)))) (cbrt (* (cbrt 3) (* y y))) (* 3 (pow y 6)) (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)) (* 3 (pow y 2)) (* 3 (pow y 2)) (* 3 (pow y 2)) (* 3 (pow y 2)) (* 3 (pow y 2)) (* 3 (pow y 2)) (log (* 3 (* y y))) (log (* 3 (* y y))) (log (* 3 (* y y))) (log (* 3 (* y y))) (log (* 3 (* y y))) (log (* 3 (* y y))) (log (* 3 (* y y))) (exp (* 3 (* y y))) (* (pow y 6) 27) (* (pow y 6) 27) (* (pow y 6) 27) (* (pow y 6) 27) (* (pow y 6) 27) (* (pow y 6) 27) (* (cbrt (* 3 (pow y 2))) (cbrt (* 3 (pow y 2)))) (cbrt (* 3 (pow y 2))) (* (pow y 6) 27) (sqrt (* 3 (pow y 2))) (sqrt (* 3 (pow y 2))) 3 (* (cbrt 3) (* (cbrt 3) (* y y))) (exp (+ (pow x 2) (* 3 (pow y 2)))) (log (+ (pow x 2) (* 3 (pow y 2)))) (exp (+ (pow x 2) (* 3 (pow y 2)))) (* (cbrt (+ (pow x 2) (* 3 (pow y 2)))) (cbrt (+ (pow x 2) (* 3 (pow y 2))))) (cbrt (+ (pow x 2) (* 3 (pow y 2)))) (pow (+ (pow x 2) (* 3 (pow y 2))) 3) (sqrt (+ (pow x 2) (* 3 (pow y 2)))) (sqrt (+ (pow x 2) (* 3 (pow y 2)))) (+ (* (pow y 6) 27) (pow x 6)) (+ (* (* 3 (* y y)) (- (* 3 (* y y)) (* x x))) (pow x 4)) (- (pow x 4) (* 9 (pow y 4))) (- (* x x) (* 3 (pow y 2))) (* (cbrt 3) (* y y)) (* (cbrt 3) (* y y)) (* (cbrt 3) (* y y)) (* 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))) 15.476 * * * [progress]: adding candidates to table 15.630 * [progress]: [Phase 3 of 3] Extracting. 15.630 * * [regime]: Finding splitpoints for: (# # # # # #) 15.632 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (* x x) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) y x) 15.632 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # #) 15.657 * * * * [regimes]: Trying to branch on (* y y) from (# #) 15.670 * * * * [regimes]: Trying to branch on (* x x) from (# # # # # #) 15.700 * * * * [regimes]: Trying to branch on (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) from (# # # # # #) 15.742 * * * * [regimes]: Trying to branch on y from (# # # # # #) 15.774 * * * * [regimes]: Trying to branch on x from (# # # # # #) 15.798 * * * [regime]: Found split indices: #