32.061 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.033 * * * [progress]: [2/2] Setting up program. 0.035 * [progress]: [Phase 2 of 3] Improving. 0.036 * [simplify]: Simplifying: (+ (+ (* x x) y) y) 0.036 * * [simplify]: Extracting # 0 : cost 0 0.036 * * [simplify]: Extracting # 1 : cost 0 0.036 * * [simplify]: Extracting # 2 : cost 0 0.036 * * [simplify]: Extracting # 3 : cost 0 0.036 * * [simplify]: Extracting # 4 : cost 0 0.036 * * [simplify]: Extracting # 5 : cost 0 0.036 * * [simplify]: iteration 0 : 5 enodes (cost 7 ) 0.038 * * [simplify]: Extracting # 0 : cost 0 0.038 * * [simplify]: Extracting # 1 : cost 0 0.038 * * [simplify]: Extracting # 2 : cost 0 0.038 * * [simplify]: iteration 1 : 9 enodes (cost 7 ) 0.041 * * [simplify]: Extracting # 0 : cost 0 0.041 * * [simplify]: Extracting # 1 : cost 0 0.041 * * [simplify]: Extracting # 2 : cost 0 0.041 * * [simplify]: iteration 2 : 12 enodes (cost 7 ) 0.045 * * [simplify]: Extracting # 0 : cost 0 0.045 * * [simplify]: iteration 3 : 13 enodes (cost 7 ) 0.049 * * [simplify]: Extracting # 0 : cost 0 0.049 * * [simplify]: iteration done: 13 enodes (cost 7 ) 0.049 * [simplify]: Simplified to: (+ (+ (* x x) y) y) 0.050 * * [progress]: iteration 1 / 4 0.050 * * * [progress]: picking best candidate 0.060 * * * * [pick]: Picked # 0.060 * * * [progress]: localizing error 0.072 * * * [progress]: generating rewritten candidates 0.072 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.139 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.157 * * * [progress]: generating series expansions 0.157 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.157 * [backup-simplify]: Simplify (+ (+ (* x x) y) y) into (+ (pow x 2) (* 2 y)) 0.157 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in (x y) around 0 0.157 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in y 0.157 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.157 * [taylor]: Taking taylor expansion of x in y 0.157 * [backup-simplify]: Simplify x into x 0.157 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.157 * [taylor]: Taking taylor expansion of 2 in y 0.157 * [backup-simplify]: Simplify 2 into 2 0.157 * [taylor]: Taking taylor expansion of y in y 0.158 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify 1 into 1 0.158 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.158 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.158 * [taylor]: Taking taylor expansion of x in x 0.158 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify 1 into 1 0.158 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.158 * [taylor]: Taking taylor expansion of 2 in x 0.158 * [backup-simplify]: Simplify 2 into 2 0.158 * [taylor]: Taking taylor expansion of y in x 0.158 * [backup-simplify]: Simplify y into y 0.158 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.158 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.158 * [taylor]: Taking taylor expansion of x in x 0.158 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify 1 into 1 0.158 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.158 * [taylor]: Taking taylor expansion of 2 in x 0.158 * [backup-simplify]: Simplify 2 into 2 0.158 * [taylor]: Taking taylor expansion of y in x 0.158 * [backup-simplify]: Simplify y into y 0.158 * [backup-simplify]: Simplify (* 2 y) into (* 2 y) 0.158 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 0.158 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.158 * [taylor]: Taking taylor expansion of 2 in y 0.158 * [backup-simplify]: Simplify 2 into 2 0.158 * [taylor]: Taking taylor expansion of y in y 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify 1 into 1 0.159 * [backup-simplify]: Simplify (* 2 0) into 0 0.159 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 y)) into 0 0.160 * [backup-simplify]: Simplify (+ 0 0) into 0 0.160 * [taylor]: Taking taylor expansion of 0 in y 0.160 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 0.161 * [backup-simplify]: Simplify 2 into 2 0.162 * [backup-simplify]: Simplify (* 1 1) into 1 0.162 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 y))) into 0 0.163 * [backup-simplify]: Simplify (+ 1 0) into 1 0.163 * [taylor]: Taking taylor expansion of 1 in y 0.163 * [backup-simplify]: Simplify 1 into 1 0.163 * [backup-simplify]: Simplify 1 into 1 0.163 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 0.164 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.166 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.166 * [backup-simplify]: Simplify (+ 0 0) into 0 0.166 * [taylor]: Taking taylor expansion of 0 in y 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.168 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 2 (* y 1))) into (+ (pow x 2) (* 2 y)) 0.168 * [backup-simplify]: Simplify (+ (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) (/ 1 y)) into (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) 0.168 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.168 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.168 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.168 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.169 * [taylor]: Taking taylor expansion of x in y 0.169 * [backup-simplify]: Simplify x into x 0.169 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.169 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.169 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.169 * [taylor]: Taking taylor expansion of 2 in y 0.169 * [backup-simplify]: Simplify 2 into 2 0.169 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.169 * [taylor]: Taking taylor expansion of y in y 0.169 * [backup-simplify]: Simplify 0 into 0 0.169 * [backup-simplify]: Simplify 1 into 1 0.169 * [backup-simplify]: Simplify (/ 1 1) into 1 0.169 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.169 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.170 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.170 * [taylor]: Taking taylor expansion of x in x 0.170 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify 1 into 1 0.170 * [backup-simplify]: Simplify (* 1 1) into 1 0.170 * [backup-simplify]: Simplify (/ 1 1) into 1 0.170 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.170 * [taylor]: Taking taylor expansion of 2 in x 0.170 * [backup-simplify]: Simplify 2 into 2 0.170 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.171 * [taylor]: Taking taylor expansion of y in x 0.171 * [backup-simplify]: Simplify y into y 0.171 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.171 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.171 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.171 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.171 * [taylor]: Taking taylor expansion of x in x 0.171 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify 1 into 1 0.171 * [backup-simplify]: Simplify (* 1 1) into 1 0.172 * [backup-simplify]: Simplify (/ 1 1) into 1 0.172 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.172 * [taylor]: Taking taylor expansion of 2 in x 0.172 * [backup-simplify]: Simplify 2 into 2 0.172 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.172 * [taylor]: Taking taylor expansion of y in x 0.172 * [backup-simplify]: Simplify y into y 0.172 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.172 * [backup-simplify]: Simplify (+ 1 0) into 1 0.172 * [taylor]: Taking taylor expansion of 1 in y 0.172 * [backup-simplify]: Simplify 1 into 1 0.173 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.175 * [backup-simplify]: Simplify (+ 0 0) into 0 0.175 * [taylor]: Taking taylor expansion of 0 in y 0.175 * [backup-simplify]: Simplify 0 into 0 0.175 * [backup-simplify]: Simplify 1 into 1 0.176 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.177 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 0.177 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 0.177 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.177 * [taylor]: Taking taylor expansion of 2 in y 0.177 * [backup-simplify]: Simplify 2 into 2 0.177 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.177 * [taylor]: Taking taylor expansion of y in y 0.177 * [backup-simplify]: Simplify 0 into 0 0.177 * [backup-simplify]: Simplify 1 into 1 0.178 * [backup-simplify]: Simplify (/ 1 1) into 1 0.178 * [backup-simplify]: Simplify (* 2 1) into 2 0.178 * [backup-simplify]: Simplify 2 into 2 0.178 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.181 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.182 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 0.182 * [backup-simplify]: Simplify (+ 0 0) into 0 0.182 * [taylor]: Taking taylor expansion of 0 in y 0.182 * [backup-simplify]: Simplify 0 into 0 0.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.184 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.184 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.186 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.187 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) 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 (+ (* 2 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) (* 2 y)) 0.189 * [backup-simplify]: Simplify (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))) (/ 1 (- y))) into (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) 0.189 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.189 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.189 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.189 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.189 * [taylor]: Taking taylor expansion of x in y 0.189 * [backup-simplify]: Simplify x into x 0.189 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.189 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.189 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.189 * [taylor]: Taking taylor expansion of 2 in y 0.189 * [backup-simplify]: Simplify 2 into 2 0.189 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.189 * [taylor]: Taking taylor expansion of y in y 0.189 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify 1 into 1 0.190 * [backup-simplify]: Simplify (/ 1 1) into 1 0.190 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.190 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.190 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.190 * [taylor]: Taking taylor expansion of x in x 0.190 * [backup-simplify]: Simplify 0 into 0 0.190 * [backup-simplify]: Simplify 1 into 1 0.190 * [backup-simplify]: Simplify (* 1 1) into 1 0.191 * [backup-simplify]: Simplify (/ 1 1) into 1 0.191 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.191 * [taylor]: Taking taylor expansion of 2 in x 0.191 * [backup-simplify]: Simplify 2 into 2 0.191 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.191 * [taylor]: Taking taylor expansion of y in x 0.191 * [backup-simplify]: Simplify y into y 0.191 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.191 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.191 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.191 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.191 * [taylor]: Taking taylor expansion of x in x 0.191 * [backup-simplify]: Simplify 0 into 0 0.191 * [backup-simplify]: Simplify 1 into 1 0.191 * [backup-simplify]: Simplify (* 1 1) into 1 0.192 * [backup-simplify]: Simplify (/ 1 1) into 1 0.192 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.192 * [taylor]: Taking taylor expansion of 2 in x 0.192 * [backup-simplify]: Simplify 2 into 2 0.192 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.192 * [taylor]: Taking taylor expansion of y in x 0.192 * [backup-simplify]: Simplify y into y 0.192 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.192 * [backup-simplify]: Simplify (+ 1 0) into 1 0.192 * [taylor]: Taking taylor expansion of 1 in y 0.193 * [backup-simplify]: Simplify 1 into 1 0.193 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.194 * [backup-simplify]: Simplify (+ 0 0) into 0 0.194 * [taylor]: Taking taylor expansion of 0 in y 0.194 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify 1 into 1 0.195 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.202 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 0.202 * [backup-simplify]: Simplify (- (/ 2 y)) into (- (* 2 (/ 1 y))) 0.202 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 y)))) into (- (* 2 (/ 1 y))) 0.202 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 0.202 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.202 * [taylor]: Taking taylor expansion of 2 in y 0.202 * [backup-simplify]: Simplify 2 into 2 0.202 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.202 * [taylor]: Taking taylor expansion of y in y 0.202 * [backup-simplify]: Simplify 0 into 0 0.202 * [backup-simplify]: Simplify 1 into 1 0.203 * [backup-simplify]: Simplify (/ 1 1) into 1 0.203 * [backup-simplify]: Simplify (* 2 1) into 2 0.204 * [backup-simplify]: Simplify (- 2) into -2 0.204 * [backup-simplify]: Simplify -2 into -2 0.204 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify 0 into 0 0.205 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.206 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.207 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 0.207 * [backup-simplify]: Simplify (- 0) into 0 0.207 * [backup-simplify]: Simplify (+ 0 0) into 0 0.207 * [taylor]: Taking taylor expansion of 0 in y 0.207 * [backup-simplify]: Simplify 0 into 0 0.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.209 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.209 * [backup-simplify]: Simplify (- 0) into 0 0.209 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify 0 into 0 0.210 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.211 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.212 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.213 * [backup-simplify]: Simplify (- 0) into 0 0.213 * [backup-simplify]: Simplify (+ 0 0) into 0 0.213 * [taylor]: Taking taylor expansion of 0 in y 0.213 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify 0 into 0 0.214 * [backup-simplify]: Simplify (+ (* -2 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) (* 2 y)) 0.214 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.214 * [backup-simplify]: Simplify (+ (* x x) y) into (+ (pow x 2) y) 0.214 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 0.214 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.214 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.214 * [taylor]: Taking taylor expansion of x in y 0.214 * [backup-simplify]: Simplify x into x 0.214 * [taylor]: Taking taylor expansion of y in y 0.214 * [backup-simplify]: Simplify 0 into 0 0.214 * [backup-simplify]: Simplify 1 into 1 0.214 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.214 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.215 * [taylor]: Taking taylor expansion of x in x 0.215 * [backup-simplify]: Simplify 0 into 0 0.215 * [backup-simplify]: Simplify 1 into 1 0.215 * [taylor]: Taking taylor expansion of y in x 0.215 * [backup-simplify]: Simplify y into y 0.215 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.215 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.215 * [taylor]: Taking taylor expansion of x in x 0.215 * [backup-simplify]: Simplify 0 into 0 0.215 * [backup-simplify]: Simplify 1 into 1 0.215 * [taylor]: Taking taylor expansion of y in x 0.215 * [backup-simplify]: Simplify y into y 0.215 * [backup-simplify]: Simplify (+ 0 y) into y 0.215 * [taylor]: Taking taylor expansion of y in y 0.215 * [backup-simplify]: Simplify 0 into 0 0.215 * [backup-simplify]: Simplify 1 into 1 0.215 * [backup-simplify]: Simplify 0 into 0 0.215 * [backup-simplify]: Simplify (+ 0 0) into 0 0.216 * [taylor]: Taking taylor expansion of 0 in y 0.216 * [backup-simplify]: Simplify 0 into 0 0.216 * [backup-simplify]: Simplify 0 into 0 0.216 * [backup-simplify]: Simplify 1 into 1 0.216 * [backup-simplify]: Simplify (* 1 1) into 1 0.216 * [backup-simplify]: Simplify (+ 1 0) into 1 0.216 * [taylor]: Taking taylor expansion of 1 in y 0.217 * [backup-simplify]: Simplify 1 into 1 0.217 * [backup-simplify]: Simplify 1 into 1 0.217 * [backup-simplify]: Simplify 0 into 0 0.217 * [backup-simplify]: Simplify 0 into 0 0.217 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.218 * [backup-simplify]: Simplify (+ 0 0) into 0 0.218 * [taylor]: Taking taylor expansion of 0 in y 0.218 * [backup-simplify]: Simplify 0 into 0 0.218 * [backup-simplify]: Simplify 0 into 0 0.218 * [backup-simplify]: Simplify 0 into 0 0.218 * [backup-simplify]: Simplify 0 into 0 0.218 * [backup-simplify]: Simplify 0 into 0 0.218 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 1 (* y 1))) into (+ (pow x 2) y) 0.218 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) into (+ (/ 1 (pow x 2)) (/ 1 y)) 0.219 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.219 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.219 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.219 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.219 * [taylor]: Taking taylor expansion of x in y 0.219 * [backup-simplify]: Simplify x into x 0.219 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.219 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.219 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.219 * [taylor]: Taking taylor expansion of y in y 0.219 * [backup-simplify]: Simplify 0 into 0 0.219 * [backup-simplify]: Simplify 1 into 1 0.219 * [backup-simplify]: Simplify (/ 1 1) into 1 0.219 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.220 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.220 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.220 * [taylor]: Taking taylor expansion of x in x 0.220 * [backup-simplify]: Simplify 0 into 0 0.220 * [backup-simplify]: Simplify 1 into 1 0.220 * [backup-simplify]: Simplify (* 1 1) into 1 0.220 * [backup-simplify]: Simplify (/ 1 1) into 1 0.221 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.221 * [taylor]: Taking taylor expansion of y in x 0.221 * [backup-simplify]: Simplify y into y 0.221 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.221 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) 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 0.221 * [backup-simplify]: Simplify 0 into 0 0.221 * [backup-simplify]: Simplify 1 into 1 0.221 * [backup-simplify]: Simplify (* 1 1) into 1 0.222 * [backup-simplify]: Simplify (/ 1 1) into 1 0.222 * [taylor]: Taking taylor expansion of (/ 1 y) 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 (/ 1 y) into (/ 1 y) 0.222 * [backup-simplify]: Simplify (+ 1 0) into 1 0.222 * [taylor]: Taking taylor expansion of 1 in y 0.222 * [backup-simplify]: Simplify 1 into 1 0.223 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.224 * [backup-simplify]: Simplify (+ 0 0) into 0 0.224 * [taylor]: Taking taylor expansion of 0 in y 0.224 * [backup-simplify]: Simplify 0 into 0 0.224 * [backup-simplify]: Simplify 1 into 1 0.225 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.226 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.226 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.226 * [taylor]: Taking taylor expansion of y in y 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify 1 into 1 0.227 * [backup-simplify]: Simplify (/ 1 1) into 1 0.227 * [backup-simplify]: Simplify 1 into 1 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify 0 into 0 0.228 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.229 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.229 * [backup-simplify]: Simplify (+ 0 0) into 0 0.229 * [taylor]: Taking taylor expansion of 0 in y 0.229 * [backup-simplify]: Simplify 0 into 0 0.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.230 * [backup-simplify]: Simplify 0 into 0 0.230 * [backup-simplify]: Simplify 0 into 0 0.230 * [backup-simplify]: Simplify 0 into 0 0.232 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.233 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.233 * [backup-simplify]: Simplify (+ 0 0) into 0 0.233 * [taylor]: Taking taylor expansion of 0 in y 0.233 * [backup-simplify]: Simplify 0 into 0 0.233 * [backup-simplify]: Simplify 0 into 0 0.234 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) y) 0.234 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))) into (- (/ 1 (pow x 2)) (/ 1 y)) 0.234 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.234 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.234 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.234 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.234 * [taylor]: Taking taylor expansion of x in y 0.234 * [backup-simplify]: Simplify x into x 0.234 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.234 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.234 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.234 * [taylor]: Taking taylor expansion of y in y 0.234 * [backup-simplify]: Simplify 0 into 0 0.234 * [backup-simplify]: Simplify 1 into 1 0.235 * [backup-simplify]: Simplify (/ 1 1) into 1 0.235 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.235 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.235 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.235 * [taylor]: Taking taylor expansion of x in x 0.235 * [backup-simplify]: Simplify 0 into 0 0.235 * [backup-simplify]: Simplify 1 into 1 0.235 * [backup-simplify]: Simplify (* 1 1) into 1 0.236 * [backup-simplify]: Simplify (/ 1 1) into 1 0.236 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.236 * [taylor]: Taking taylor expansion of y in x 0.236 * [backup-simplify]: Simplify y into y 0.236 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.236 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.236 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.236 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.236 * [taylor]: Taking taylor expansion of x in x 0.236 * [backup-simplify]: Simplify 0 into 0 0.236 * [backup-simplify]: Simplify 1 into 1 0.237 * [backup-simplify]: Simplify (* 1 1) into 1 0.237 * [backup-simplify]: Simplify (/ 1 1) into 1 0.237 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.237 * [taylor]: Taking taylor expansion of y in x 0.237 * [backup-simplify]: Simplify y into y 0.237 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.238 * [backup-simplify]: Simplify (+ 1 0) into 1 0.238 * [taylor]: Taking taylor expansion of 1 in y 0.238 * [backup-simplify]: Simplify 1 into 1 0.238 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.239 * [backup-simplify]: Simplify (+ 0 0) into 0 0.239 * [taylor]: Taking taylor expansion of 0 in y 0.239 * [backup-simplify]: Simplify 0 into 0 0.239 * [backup-simplify]: Simplify 1 into 1 0.240 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.241 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.242 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.242 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.242 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.242 * [taylor]: Taking taylor expansion of y in y 0.242 * [backup-simplify]: Simplify 0 into 0 0.242 * [backup-simplify]: Simplify 1 into 1 0.242 * [backup-simplify]: Simplify (/ 1 1) into 1 0.242 * [backup-simplify]: Simplify (- 1) into -1 0.242 * [backup-simplify]: Simplify -1 into -1 0.242 * [backup-simplify]: Simplify 0 into 0 0.243 * [backup-simplify]: Simplify 0 into 0 0.244 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.245 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.245 * [backup-simplify]: Simplify (- 0) into 0 0.245 * [backup-simplify]: Simplify (+ 0 0) into 0 0.245 * [taylor]: Taking taylor expansion of 0 in y 0.245 * [backup-simplify]: Simplify 0 into 0 0.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.246 * [backup-simplify]: Simplify (- 0) into 0 0.247 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify 0 into 0 0.248 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.249 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.249 * [backup-simplify]: Simplify (- 0) into 0 0.250 * [backup-simplify]: Simplify (+ 0 0) into 0 0.250 * [taylor]: Taking taylor expansion of 0 in y 0.250 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) y) 0.250 * * * [progress]: simplifying candidates 0.252 * [simplify]: Simplifying: (* (* (exp (* x x)) (exp y)) (exp y)) (* (exp (+ (* x x) y)) (exp 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) y) 3) (pow y 3)) (+ (* (+ (* x x) y) (+ (* x x) y)) (- (* y y) (* (+ (* x x) y) y))) (- (* (+ (* x x) y) (+ (* x x) y)) (* y y)) (- (+ (* x x) y) y) (+ (+ (* x x) y) y) (+ y y) (* (exp (* x x)) (exp y)) (log (+ (* x x) y)) (exp (+ (* x x) y)) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (* (* (+ (* x x) y) (+ (* x x) y)) (+ (* x x) y)) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (+ (pow (* x x) 3) (pow y 3)) (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))) (- (* (* x x) (* x x)) (* y y)) (- (* x x) y) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) 0.253 * * [simplify]: Extracting # 0 : cost 0 0.253 * * [simplify]: Extracting # 1 : cost 0 0.253 * * [simplify]: Extracting # 2 : cost 0 0.253 * * [simplify]: Extracting # 3 : cost 0 0.253 * * [simplify]: Extracting # 4 : cost 0 0.253 * * [simplify]: Extracting # 5 : cost 0 0.253 * * [simplify]: Extracting # 6 : cost 0 0.253 * * [simplify]: iteration 0 : 48 enodes (cost 310 ) 0.274 * * [simplify]: Extracting # 0 : cost 0 0.274 * * [simplify]: Extracting # 1 : cost 0 0.275 * * [simplify]: Extracting # 2 : cost 0 0.275 * * [simplify]: Extracting # 3 : cost 0 0.275 * * [simplify]: Extracting # 4 : cost 0 0.276 * * [simplify]: iteration 1 : 163 enodes (cost 303 ) 0.371 * * [simplify]: Extracting # 0 : cost 0 0.372 * * [simplify]: Extracting # 1 : cost 0 0.373 * * [simplify]: Extracting # 2 : cost 0 0.374 * * [simplify]: Extracting # 3 : cost 0 0.375 * * [simplify]: Extracting # 4 : cost 0 0.375 * * [simplify]: iteration 2 : 755 enodes (cost 262 ) 0.715 * * [simplify]: Extracting # 0 : cost 0 0.721 * * [simplify]: Extracting # 1 : cost 0 0.734 * * [simplify]: Extracting # 2 : cost 0 0.742 * * [simplify]: Extracting # 3 : cost 0 0.749 * * [simplify]: Extracting # 4 : cost 0 0.756 * * [simplify]: iteration done: 5000 enodes (cost 252 ) 0.757 * [simplify]: Simplified to: (exp (+ (+ (* x x) y) y)) (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) (* 2 y)) 3) (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)) (+ (pow (+ (* x x) y) 3) (pow y 3)) (+ (* y y) (* (+ (* x x) y) (* x x))) (* (+ (+ (* x x) y) y) (* x x)) (* x x) (+ (+ (* x x) y) y) (* 2 y) (exp (+ (* x x) y)) (log (+ (* x x) y)) (exp (+ (* x x) y)) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (pow (+ (* x x) y) 3) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (+ (pow x 6) (pow y 3)) (+ (* y (- y (* x x))) (pow x 4)) (- (pow x 4) (* y y)) (- (* x x) y) (+ (+ (* x x) y) y) (+ (+ (* x x) y) y) (+ (+ (* x x) y) y) (+ (* x x) y) (+ (* x x) y) (+ (* x x) y) 0.761 * * * [progress]: adding candidates to table 0.823 * * [progress]: iteration 2 / 4 0.823 * * * [progress]: picking best candidate 0.830 * * * * [pick]: Picked # 0.830 * * * [progress]: localizing error 0.836 * * * [progress]: generating rewritten candidates 0.836 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.845 * * * [progress]: generating series expansions 0.845 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.846 * [backup-simplify]: Simplify (+ (* x x) (* 2 y)) into (+ (pow x 2) (* 2 y)) 0.846 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in (x y) around 0 0.846 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in y 0.846 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.846 * [taylor]: Taking taylor expansion of x in y 0.846 * [backup-simplify]: Simplify x into x 0.846 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.846 * [taylor]: Taking taylor expansion of 2 in y 0.846 * [backup-simplify]: Simplify 2 into 2 0.846 * [taylor]: Taking taylor expansion of y in y 0.846 * [backup-simplify]: Simplify 0 into 0 0.846 * [backup-simplify]: Simplify 1 into 1 0.846 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.846 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.846 * [taylor]: Taking taylor expansion of x in x 0.846 * [backup-simplify]: Simplify 0 into 0 0.846 * [backup-simplify]: Simplify 1 into 1 0.846 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.846 * [taylor]: Taking taylor expansion of 2 in x 0.846 * [backup-simplify]: Simplify 2 into 2 0.846 * [taylor]: Taking taylor expansion of y in x 0.846 * [backup-simplify]: Simplify y into y 0.846 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.846 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.846 * [taylor]: Taking taylor expansion of x in x 0.846 * [backup-simplify]: Simplify 0 into 0 0.846 * [backup-simplify]: Simplify 1 into 1 0.846 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.846 * [taylor]: Taking taylor expansion of 2 in x 0.846 * [backup-simplify]: Simplify 2 into 2 0.846 * [taylor]: Taking taylor expansion of y in x 0.846 * [backup-simplify]: Simplify y into y 0.846 * [backup-simplify]: Simplify (* 2 y) into (* 2 y) 0.846 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 0.846 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.846 * [taylor]: Taking taylor expansion of 2 in y 0.846 * [backup-simplify]: Simplify 2 into 2 0.846 * [taylor]: Taking taylor expansion of y in y 0.846 * [backup-simplify]: Simplify 0 into 0 0.846 * [backup-simplify]: Simplify 1 into 1 0.847 * [backup-simplify]: Simplify (* 2 0) into 0 0.847 * [backup-simplify]: Simplify 0 into 0 0.847 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 y)) into 0 0.848 * [backup-simplify]: Simplify (+ 0 0) into 0 0.848 * [taylor]: Taking taylor expansion of 0 in y 0.848 * [backup-simplify]: Simplify 0 into 0 0.848 * [backup-simplify]: Simplify 0 into 0 0.848 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 0.848 * [backup-simplify]: Simplify 2 into 2 0.848 * [backup-simplify]: Simplify (* 1 1) into 1 0.849 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 y))) into 0 0.849 * [backup-simplify]: Simplify (+ 1 0) into 1 0.849 * [taylor]: Taking taylor expansion of 1 in y 0.849 * [backup-simplify]: Simplify 1 into 1 0.849 * [backup-simplify]: Simplify 1 into 1 0.849 * [backup-simplify]: Simplify 0 into 0 0.850 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 0.850 * [backup-simplify]: Simplify 0 into 0 0.850 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.851 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.851 * [backup-simplify]: Simplify (+ 0 0) into 0 0.851 * [taylor]: Taking taylor expansion of 0 in y 0.851 * [backup-simplify]: Simplify 0 into 0 0.851 * [backup-simplify]: Simplify 0 into 0 0.852 * [backup-simplify]: Simplify 0 into 0 0.852 * [backup-simplify]: Simplify 0 into 0 0.852 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.852 * [backup-simplify]: Simplify 0 into 0 0.852 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 2 (* y 1))) into (+ (pow x 2) (* 2 y)) 0.853 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* 2 (/ 1 y))) into (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) 0.853 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.853 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.853 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.853 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.853 * [taylor]: Taking taylor expansion of x in y 0.853 * [backup-simplify]: Simplify x into x 0.853 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.853 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.853 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.853 * [taylor]: Taking taylor expansion of 2 in y 0.853 * [backup-simplify]: Simplify 2 into 2 0.853 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.853 * [taylor]: Taking taylor expansion of y in y 0.853 * [backup-simplify]: Simplify 0 into 0 0.853 * [backup-simplify]: Simplify 1 into 1 0.853 * [backup-simplify]: Simplify (/ 1 1) into 1 0.853 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.853 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.853 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.853 * [taylor]: Taking taylor expansion of x in x 0.853 * [backup-simplify]: Simplify 0 into 0 0.853 * [backup-simplify]: Simplify 1 into 1 0.854 * [backup-simplify]: Simplify (* 1 1) into 1 0.854 * [backup-simplify]: Simplify (/ 1 1) into 1 0.854 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.854 * [taylor]: Taking taylor expansion of 2 in x 0.854 * [backup-simplify]: Simplify 2 into 2 0.854 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.854 * [taylor]: Taking taylor expansion of y in x 0.854 * [backup-simplify]: Simplify y into y 0.854 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.854 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.854 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.854 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.854 * [taylor]: Taking taylor expansion of x in x 0.854 * [backup-simplify]: Simplify 0 into 0 0.854 * [backup-simplify]: Simplify 1 into 1 0.854 * [backup-simplify]: Simplify (* 1 1) into 1 0.855 * [backup-simplify]: Simplify (/ 1 1) into 1 0.855 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.855 * [taylor]: Taking taylor expansion of 2 in x 0.855 * [backup-simplify]: Simplify 2 into 2 0.855 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.855 * [taylor]: Taking taylor expansion of y in x 0.855 * [backup-simplify]: Simplify y into y 0.855 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.855 * [backup-simplify]: Simplify (+ 1 0) into 1 0.855 * [taylor]: Taking taylor expansion of 1 in y 0.855 * [backup-simplify]: Simplify 1 into 1 0.856 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.856 * [backup-simplify]: Simplify (+ 0 0) into 0 0.856 * [taylor]: Taking taylor expansion of 0 in y 0.856 * [backup-simplify]: Simplify 0 into 0 0.856 * [backup-simplify]: Simplify 1 into 1 0.857 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.857 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 0.857 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 0.858 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.858 * [taylor]: Taking taylor expansion of 2 in y 0.858 * [backup-simplify]: Simplify 2 into 2 0.858 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.858 * [taylor]: Taking taylor expansion of y in y 0.858 * [backup-simplify]: Simplify 0 into 0 0.858 * [backup-simplify]: Simplify 1 into 1 0.858 * [backup-simplify]: Simplify (/ 1 1) into 1 0.858 * [backup-simplify]: Simplify (* 2 1) into 2 0.858 * [backup-simplify]: Simplify 2 into 2 0.858 * [backup-simplify]: Simplify 0 into 0 0.858 * [backup-simplify]: Simplify 0 into 0 0.859 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.859 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.860 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 0.860 * [backup-simplify]: Simplify (+ 0 0) into 0 0.860 * [taylor]: Taking taylor expansion of 0 in y 0.860 * [backup-simplify]: Simplify 0 into 0 0.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.861 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.861 * [backup-simplify]: Simplify 0 into 0 0.861 * [backup-simplify]: Simplify 0 into 0 0.861 * [backup-simplify]: Simplify 0 into 0 0.862 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.862 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.862 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.863 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.863 * [backup-simplify]: Simplify (+ 0 0) into 0 0.863 * [taylor]: Taking taylor expansion of 0 in y 0.863 * [backup-simplify]: Simplify 0 into 0 0.863 * [backup-simplify]: Simplify 0 into 0 0.863 * [backup-simplify]: Simplify (+ (* 2 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) (* 2 y)) 0.864 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* 2 (/ 1 (- y)))) into (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) 0.864 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.864 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.864 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.864 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.864 * [taylor]: Taking taylor expansion of x in y 0.864 * [backup-simplify]: Simplify x into x 0.864 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.864 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.864 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.864 * [taylor]: Taking taylor expansion of 2 in y 0.864 * [backup-simplify]: Simplify 2 into 2 0.864 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.864 * [taylor]: Taking taylor expansion of y in y 0.864 * [backup-simplify]: Simplify 0 into 0 0.864 * [backup-simplify]: Simplify 1 into 1 0.864 * [backup-simplify]: Simplify (/ 1 1) into 1 0.864 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.864 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.864 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.864 * [taylor]: Taking taylor expansion of x in x 0.864 * [backup-simplify]: Simplify 0 into 0 0.864 * [backup-simplify]: Simplify 1 into 1 0.865 * [backup-simplify]: Simplify (* 1 1) into 1 0.865 * [backup-simplify]: Simplify (/ 1 1) into 1 0.865 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.865 * [taylor]: Taking taylor expansion of 2 in x 0.865 * [backup-simplify]: Simplify 2 into 2 0.865 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.865 * [taylor]: Taking taylor expansion of y in x 0.865 * [backup-simplify]: Simplify y into y 0.865 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.865 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.865 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.865 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.865 * [taylor]: Taking taylor expansion of x in x 0.865 * [backup-simplify]: Simplify 0 into 0 0.865 * [backup-simplify]: Simplify 1 into 1 0.865 * [backup-simplify]: Simplify (* 1 1) into 1 0.866 * [backup-simplify]: Simplify (/ 1 1) into 1 0.866 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.866 * [taylor]: Taking taylor expansion of 2 in x 0.866 * [backup-simplify]: Simplify 2 into 2 0.866 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.866 * [taylor]: Taking taylor expansion of y in x 0.866 * [backup-simplify]: Simplify y into y 0.866 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.866 * [backup-simplify]: Simplify (+ 1 0) into 1 0.866 * [taylor]: Taking taylor expansion of 1 in y 0.866 * [backup-simplify]: Simplify 1 into 1 0.866 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.867 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.867 * [backup-simplify]: Simplify (+ 0 0) into 0 0.867 * [taylor]: Taking taylor expansion of 0 in y 0.867 * [backup-simplify]: Simplify 0 into 0 0.867 * [backup-simplify]: Simplify 1 into 1 0.868 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.868 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.868 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 0.868 * [backup-simplify]: Simplify (- (/ 2 y)) into (- (* 2 (/ 1 y))) 0.869 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 y)))) into (- (* 2 (/ 1 y))) 0.869 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 0.869 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.869 * [taylor]: Taking taylor expansion of 2 in y 0.869 * [backup-simplify]: Simplify 2 into 2 0.869 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.869 * [taylor]: Taking taylor expansion of y in y 0.869 * [backup-simplify]: Simplify 0 into 0 0.869 * [backup-simplify]: Simplify 1 into 1 0.869 * [backup-simplify]: Simplify (/ 1 1) into 1 0.869 * [backup-simplify]: Simplify (* 2 1) into 2 0.869 * [backup-simplify]: Simplify (- 2) into -2 0.869 * [backup-simplify]: Simplify -2 into -2 0.869 * [backup-simplify]: Simplify 0 into 0 0.870 * [backup-simplify]: Simplify 0 into 0 0.870 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.871 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.871 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.871 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 0.871 * [backup-simplify]: Simplify (- 0) into 0 0.872 * [backup-simplify]: Simplify (+ 0 0) into 0 0.872 * [taylor]: Taking taylor expansion of 0 in y 0.872 * [backup-simplify]: Simplify 0 into 0 0.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.872 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.873 * [backup-simplify]: Simplify (- 0) into 0 0.873 * [backup-simplify]: Simplify 0 into 0 0.873 * [backup-simplify]: Simplify 0 into 0 0.873 * [backup-simplify]: Simplify 0 into 0 0.873 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.874 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.875 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.875 * [backup-simplify]: Simplify (- 0) into 0 0.875 * [backup-simplify]: Simplify (+ 0 0) into 0 0.875 * [taylor]: Taking taylor expansion of 0 in y 0.875 * [backup-simplify]: Simplify 0 into 0 0.875 * [backup-simplify]: Simplify 0 into 0 0.876 * [backup-simplify]: Simplify (+ (* -2 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) (* 2 y)) 0.876 * * * [progress]: simplifying candidates 0.876 * [simplify]: Simplifying: (* (exp (* x x)) (exp (* 2 y))) (log (+ (* x x) (* 2 y))) (exp (+ (* x x) (* 2 y))) (* (cbrt (+ (* x x) (* 2 y))) (cbrt (+ (* x x) (* 2 y)))) (cbrt (+ (* x x) (* 2 y))) (* (* (+ (* x x) (* 2 y)) (+ (* x x) (* 2 y))) (+ (* x x) (* 2 y))) (sqrt (+ (* x x) (* 2 y))) (sqrt (+ (* x x) (* 2 y))) (+ (pow (* x x) 3) (pow (* 2 y) 3)) (+ (* (* x x) (* x x)) (- (* (* 2 y) (* 2 y)) (* (* x x) (* 2 y)))) (- (* (* x x) (* x x)) (* (* 2 y) (* 2 y))) (- (* x x) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) 0.876 * * [simplify]: Extracting # 0 : cost 0 0.876 * * [simplify]: Extracting # 1 : cost 0 0.876 * * [simplify]: Extracting # 2 : cost 0 0.876 * * [simplify]: Extracting # 3 : cost 0 0.876 * * [simplify]: Extracting # 4 : cost 0 0.876 * * [simplify]: Extracting # 5 : cost 0 0.876 * * [simplify]: iteration 0 : 29 enodes (cost 166 ) 0.888 * * [simplify]: Extracting # 0 : cost 0 0.888 * * [simplify]: Extracting # 1 : cost 0 0.889 * * [simplify]: Extracting # 2 : cost 0 0.889 * * [simplify]: Extracting # 3 : cost 0 0.889 * * [simplify]: Extracting # 4 : cost 0 0.889 * * [simplify]: iteration 1 : 112 enodes (cost 159 ) 0.985 * * [simplify]: Extracting # 0 : cost 0 0.986 * * [simplify]: Extracting # 1 : cost 0 0.987 * * [simplify]: Extracting # 2 : cost 0 0.988 * * [simplify]: Extracting # 3 : cost 0 0.989 * * [simplify]: Extracting # 4 : cost 0 0.990 * * [simplify]: iteration 2 : 516 enodes (cost 135 ) 1.755 * * [simplify]: Extracting # 0 : cost 0 1.764 * * [simplify]: Extracting # 1 : cost 0 1.769 * * [simplify]: Extracting # 2 : cost 0 1.775 * * [simplify]: Extracting # 3 : cost 0 1.779 * * [simplify]: Extracting # 4 : cost 0 1.782 * * [simplify]: iteration 3 : 3221 enodes (cost 135 ) 3.688 * * [simplify]: Extracting # 0 : cost 0 3.696 * * [simplify]: Extracting # 1 : cost 0 3.708 * * [simplify]: Extracting # 2 : cost 0 3.730 * * [simplify]: Extracting # 3 : cost 0 3.741 * * [simplify]: iteration done: 5002 enodes (cost 135 ) 3.742 * [simplify]: Simplified to: (exp (+ (* x x) (* 2 y))) (log (+ (* x x) (* 2 y))) (exp (+ (* x x) (* 2 y))) (* (cbrt (+ (* x x) (* 2 y))) (cbrt (+ (* x x) (* 2 y)))) (cbrt (+ (* x x) (* 2 y))) (pow (+ (* x x) (* 2 y)) 3) (sqrt (+ (* x x) (* 2 y))) (sqrt (+ (* x x) (* 2 y))) (+ (pow (* 2 y) 3) (pow x 6)) (+ (pow x 4) (* (* 2 y) (- (* 2 y) (* x x)))) (- (pow x 4) (* 4 (* y y))) (- (* x x) (* 2 y)) (+ (* x x) (* 2 y)) (+ (* x x) (* 2 y)) (+ (* x x) (* 2 y)) 3.742 * * * [progress]: adding candidates to table 3.773 * * [progress]: iteration 3 / 4 3.773 * * * [progress]: picking best candidate 3.777 * * * * [pick]: Picked # 3.777 * * * [progress]: localizing error 3.786 * * * [progress]: generating rewritten candidates 3.786 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 4.221 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 4.269 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 4.278 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 4.289 * * * [progress]: generating series expansions 4.289 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 4.289 * [backup-simplify]: Simplify (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) into (+ (pow x 2) y) 4.289 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 4.289 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 4.289 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.289 * [taylor]: Taking taylor expansion of x in y 4.289 * [backup-simplify]: Simplify x into x 4.289 * [taylor]: Taking taylor expansion of y in y 4.289 * [backup-simplify]: Simplify 0 into 0 4.289 * [backup-simplify]: Simplify 1 into 1 4.289 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 4.289 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.289 * [taylor]: Taking taylor expansion of x in x 4.289 * [backup-simplify]: Simplify 0 into 0 4.290 * [backup-simplify]: Simplify 1 into 1 4.290 * [taylor]: Taking taylor expansion of y in x 4.290 * [backup-simplify]: Simplify y into y 4.290 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 4.290 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.290 * [taylor]: Taking taylor expansion of x in x 4.290 * [backup-simplify]: Simplify 0 into 0 4.290 * [backup-simplify]: Simplify 1 into 1 4.290 * [taylor]: Taking taylor expansion of y in x 4.290 * [backup-simplify]: Simplify y into y 4.290 * [backup-simplify]: Simplify (+ 0 y) into y 4.290 * [taylor]: Taking taylor expansion of y in y 4.290 * [backup-simplify]: Simplify 0 into 0 4.290 * [backup-simplify]: Simplify 1 into 1 4.290 * [backup-simplify]: Simplify 0 into 0 4.290 * [backup-simplify]: Simplify (+ 0 0) into 0 4.290 * [taylor]: Taking taylor expansion of 0 in y 4.290 * [backup-simplify]: Simplify 0 into 0 4.290 * [backup-simplify]: Simplify 0 into 0 4.290 * [backup-simplify]: Simplify 1 into 1 4.291 * [backup-simplify]: Simplify (* 1 1) into 1 4.291 * [backup-simplify]: Simplify (+ 1 0) into 1 4.291 * [taylor]: Taking taylor expansion of 1 in y 4.291 * [backup-simplify]: Simplify 1 into 1 4.291 * [backup-simplify]: Simplify 1 into 1 4.291 * [backup-simplify]: Simplify 0 into 0 4.291 * [backup-simplify]: Simplify 0 into 0 4.291 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.292 * [backup-simplify]: Simplify (+ 0 0) into 0 4.292 * [taylor]: Taking taylor expansion of 0 in y 4.292 * [backup-simplify]: Simplify 0 into 0 4.292 * [backup-simplify]: Simplify 0 into 0 4.292 * [backup-simplify]: Simplify 0 into 0 4.292 * [backup-simplify]: Simplify 0 into 0 4.292 * [backup-simplify]: Simplify 0 into 0 4.292 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 1 (* y 1))) into (+ (pow x 2) y) 4.292 * [backup-simplify]: Simplify (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)))) into (+ (/ 1 (pow x 2)) (/ 1 y)) 4.292 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 4.292 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 4.292 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.292 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.292 * [taylor]: Taking taylor expansion of x in y 4.292 * [backup-simplify]: Simplify x into x 4.292 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.293 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.293 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.293 * [taylor]: Taking taylor expansion of y in y 4.293 * [backup-simplify]: Simplify 0 into 0 4.293 * [backup-simplify]: Simplify 1 into 1 4.293 * [backup-simplify]: Simplify (/ 1 1) into 1 4.293 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 4.293 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.293 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.293 * [taylor]: Taking taylor expansion of x in x 4.293 * [backup-simplify]: Simplify 0 into 0 4.293 * [backup-simplify]: Simplify 1 into 1 4.293 * [backup-simplify]: Simplify (* 1 1) into 1 4.294 * [backup-simplify]: Simplify (/ 1 1) into 1 4.294 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.294 * [taylor]: Taking taylor expansion of y in x 4.294 * [backup-simplify]: Simplify y into y 4.294 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.294 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 4.294 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.294 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.294 * [taylor]: Taking taylor expansion of x in x 4.294 * [backup-simplify]: Simplify 0 into 0 4.294 * [backup-simplify]: Simplify 1 into 1 4.294 * [backup-simplify]: Simplify (* 1 1) into 1 4.294 * [backup-simplify]: Simplify (/ 1 1) into 1 4.294 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.294 * [taylor]: Taking taylor expansion of y in x 4.294 * [backup-simplify]: Simplify y into y 4.294 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.295 * [backup-simplify]: Simplify (+ 1 0) into 1 4.295 * [taylor]: Taking taylor expansion of 1 in y 4.295 * [backup-simplify]: Simplify 1 into 1 4.295 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.296 * [backup-simplify]: Simplify (+ 0 0) into 0 4.296 * [taylor]: Taking taylor expansion of 0 in y 4.296 * [backup-simplify]: Simplify 0 into 0 4.296 * [backup-simplify]: Simplify 1 into 1 4.296 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.297 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 4.297 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.297 * [taylor]: Taking taylor expansion of y in y 4.297 * [backup-simplify]: Simplify 0 into 0 4.297 * [backup-simplify]: Simplify 1 into 1 4.297 * [backup-simplify]: Simplify (/ 1 1) into 1 4.297 * [backup-simplify]: Simplify 1 into 1 4.297 * [backup-simplify]: Simplify 0 into 0 4.297 * [backup-simplify]: Simplify 0 into 0 4.298 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.299 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.299 * [backup-simplify]: Simplify (+ 0 0) into 0 4.299 * [taylor]: Taking taylor expansion of 0 in y 4.299 * [backup-simplify]: Simplify 0 into 0 4.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.299 * [backup-simplify]: Simplify 0 into 0 4.299 * [backup-simplify]: Simplify 0 into 0 4.299 * [backup-simplify]: Simplify 0 into 0 4.300 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.301 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.301 * [backup-simplify]: Simplify (+ 0 0) into 0 4.301 * [taylor]: Taking taylor expansion of 0 in y 4.301 * [backup-simplify]: Simplify 0 into 0 4.301 * [backup-simplify]: Simplify 0 into 0 4.301 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) y) 4.302 * [backup-simplify]: Simplify (* (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y)))) (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))))) into (- (/ 1 (pow x 2)) (/ 1 y)) 4.302 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 4.302 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 4.302 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.302 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.302 * [taylor]: Taking taylor expansion of x in y 4.302 * [backup-simplify]: Simplify x into x 4.302 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.302 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.302 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.302 * [taylor]: Taking taylor expansion of y in y 4.302 * [backup-simplify]: Simplify 0 into 0 4.302 * [backup-simplify]: Simplify 1 into 1 4.302 * [backup-simplify]: Simplify (/ 1 1) into 1 4.302 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 4.302 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.302 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.302 * [taylor]: Taking taylor expansion of x in x 4.302 * [backup-simplify]: Simplify 0 into 0 4.302 * [backup-simplify]: Simplify 1 into 1 4.303 * [backup-simplify]: Simplify (* 1 1) into 1 4.303 * [backup-simplify]: Simplify (/ 1 1) into 1 4.303 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.303 * [taylor]: Taking taylor expansion of y in x 4.303 * [backup-simplify]: Simplify y into y 4.303 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.303 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 4.303 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.303 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.303 * [taylor]: Taking taylor expansion of x in x 4.303 * [backup-simplify]: Simplify 0 into 0 4.303 * [backup-simplify]: Simplify 1 into 1 4.303 * [backup-simplify]: Simplify (* 1 1) into 1 4.304 * [backup-simplify]: Simplify (/ 1 1) into 1 4.304 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.304 * [taylor]: Taking taylor expansion of y in x 4.304 * [backup-simplify]: Simplify y into y 4.304 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.304 * [backup-simplify]: Simplify (+ 1 0) into 1 4.304 * [taylor]: Taking taylor expansion of 1 in y 4.304 * [backup-simplify]: Simplify 1 into 1 4.305 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.305 * [backup-simplify]: Simplify (+ 0 0) into 0 4.305 * [taylor]: Taking taylor expansion of 0 in y 4.305 * [backup-simplify]: Simplify 0 into 0 4.305 * [backup-simplify]: Simplify 1 into 1 4.306 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.307 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 4.307 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 4.307 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 4.307 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.307 * [taylor]: Taking taylor expansion of y in y 4.307 * [backup-simplify]: Simplify 0 into 0 4.307 * [backup-simplify]: Simplify 1 into 1 4.307 * [backup-simplify]: Simplify (/ 1 1) into 1 4.307 * [backup-simplify]: Simplify (- 1) into -1 4.307 * [backup-simplify]: Simplify -1 into -1 4.307 * [backup-simplify]: Simplify 0 into 0 4.307 * [backup-simplify]: Simplify 0 into 0 4.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.309 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.309 * [backup-simplify]: Simplify (- 0) into 0 4.309 * [backup-simplify]: Simplify (+ 0 0) into 0 4.309 * [taylor]: Taking taylor expansion of 0 in y 4.309 * [backup-simplify]: Simplify 0 into 0 4.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.310 * [backup-simplify]: Simplify (- 0) into 0 4.310 * [backup-simplify]: Simplify 0 into 0 4.310 * [backup-simplify]: Simplify 0 into 0 4.310 * [backup-simplify]: Simplify 0 into 0 4.311 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.311 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.311 * [backup-simplify]: Simplify (- 0) into 0 4.312 * [backup-simplify]: Simplify (+ 0 0) into 0 4.312 * [taylor]: Taking taylor expansion of 0 in y 4.312 * [backup-simplify]: Simplify 0 into 0 4.312 * [backup-simplify]: Simplify 0 into 0 4.312 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) y) 4.312 * * * * [progress]: [ 2 / 4 ] generating series at (2) 4.313 * [backup-simplify]: Simplify (+ (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) y) into (+ (pow x 2) (* 2 y)) 4.313 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in (x y) around 0 4.313 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in y 4.313 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.313 * [taylor]: Taking taylor expansion of x in y 4.313 * [backup-simplify]: Simplify x into x 4.313 * [taylor]: Taking taylor expansion of (* 2 y) in y 4.313 * [taylor]: Taking taylor expansion of 2 in y 4.313 * [backup-simplify]: Simplify 2 into 2 4.313 * [taylor]: Taking taylor expansion of y in y 4.313 * [backup-simplify]: Simplify 0 into 0 4.313 * [backup-simplify]: Simplify 1 into 1 4.313 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 4.313 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.313 * [taylor]: Taking taylor expansion of x in x 4.313 * [backup-simplify]: Simplify 0 into 0 4.313 * [backup-simplify]: Simplify 1 into 1 4.313 * [taylor]: Taking taylor expansion of (* 2 y) in x 4.313 * [taylor]: Taking taylor expansion of 2 in x 4.313 * [backup-simplify]: Simplify 2 into 2 4.313 * [taylor]: Taking taylor expansion of y in x 4.313 * [backup-simplify]: Simplify y into y 4.313 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 4.313 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.313 * [taylor]: Taking taylor expansion of x in x 4.313 * [backup-simplify]: Simplify 0 into 0 4.313 * [backup-simplify]: Simplify 1 into 1 4.313 * [taylor]: Taking taylor expansion of (* 2 y) in x 4.314 * [taylor]: Taking taylor expansion of 2 in x 4.314 * [backup-simplify]: Simplify 2 into 2 4.314 * [taylor]: Taking taylor expansion of y in x 4.314 * [backup-simplify]: Simplify y into y 4.314 * [backup-simplify]: Simplify (* 2 y) into (* 2 y) 4.314 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 4.314 * [taylor]: Taking taylor expansion of (* 2 y) in y 4.314 * [taylor]: Taking taylor expansion of 2 in y 4.314 * [backup-simplify]: Simplify 2 into 2 4.314 * [taylor]: Taking taylor expansion of y in y 4.314 * [backup-simplify]: Simplify 0 into 0 4.314 * [backup-simplify]: Simplify 1 into 1 4.314 * [backup-simplify]: Simplify (* 2 0) into 0 4.314 * [backup-simplify]: Simplify 0 into 0 4.315 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 y)) into 0 4.315 * [backup-simplify]: Simplify (+ 0 0) into 0 4.315 * [taylor]: Taking taylor expansion of 0 in y 4.315 * [backup-simplify]: Simplify 0 into 0 4.315 * [backup-simplify]: Simplify 0 into 0 4.316 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 4.316 * [backup-simplify]: Simplify 2 into 2 4.316 * [backup-simplify]: Simplify (* 1 1) into 1 4.317 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 y))) into 0 4.318 * [backup-simplify]: Simplify (+ 1 0) into 1 4.318 * [taylor]: Taking taylor expansion of 1 in y 4.318 * [backup-simplify]: Simplify 1 into 1 4.318 * [backup-simplify]: Simplify 1 into 1 4.318 * [backup-simplify]: Simplify 0 into 0 4.319 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 4.319 * [backup-simplify]: Simplify 0 into 0 4.320 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.321 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.321 * [backup-simplify]: Simplify (+ 0 0) into 0 4.321 * [taylor]: Taking taylor expansion of 0 in y 4.321 * [backup-simplify]: Simplify 0 into 0 4.321 * [backup-simplify]: Simplify 0 into 0 4.321 * [backup-simplify]: Simplify 0 into 0 4.321 * [backup-simplify]: Simplify 0 into 0 4.322 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 4.323 * [backup-simplify]: Simplify 0 into 0 4.323 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 2 (* y 1))) into (+ (pow x 2) (* 2 y)) 4.324 * [backup-simplify]: Simplify (+ (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)))) (/ 1 y)) into (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) 4.324 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 4.324 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 4.324 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.324 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.324 * [taylor]: Taking taylor expansion of x in y 4.324 * [backup-simplify]: Simplify x into x 4.324 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.324 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.324 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 4.324 * [taylor]: Taking taylor expansion of 2 in y 4.324 * [backup-simplify]: Simplify 2 into 2 4.324 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.325 * [taylor]: Taking taylor expansion of y in y 4.325 * [backup-simplify]: Simplify 0 into 0 4.325 * [backup-simplify]: Simplify 1 into 1 4.325 * [backup-simplify]: Simplify (/ 1 1) into 1 4.325 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 4.325 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.325 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.325 * [taylor]: Taking taylor expansion of x in x 4.325 * [backup-simplify]: Simplify 0 into 0 4.325 * [backup-simplify]: Simplify 1 into 1 4.326 * [backup-simplify]: Simplify (* 1 1) into 1 4.326 * [backup-simplify]: Simplify (/ 1 1) into 1 4.326 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 4.326 * [taylor]: Taking taylor expansion of 2 in x 4.326 * [backup-simplify]: Simplify 2 into 2 4.326 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.326 * [taylor]: Taking taylor expansion of y in x 4.327 * [backup-simplify]: Simplify y into y 4.327 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.327 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 4.327 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.327 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.327 * [taylor]: Taking taylor expansion of x in x 4.327 * [backup-simplify]: Simplify 0 into 0 4.327 * [backup-simplify]: Simplify 1 into 1 4.327 * [backup-simplify]: Simplify (* 1 1) into 1 4.328 * [backup-simplify]: Simplify (/ 1 1) into 1 4.328 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 4.328 * [taylor]: Taking taylor expansion of 2 in x 4.328 * [backup-simplify]: Simplify 2 into 2 4.328 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.328 * [taylor]: Taking taylor expansion of y in x 4.328 * [backup-simplify]: Simplify y into y 4.328 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.329 * [backup-simplify]: Simplify (+ 1 0) into 1 4.329 * [taylor]: Taking taylor expansion of 1 in y 4.329 * [backup-simplify]: Simplify 1 into 1 4.329 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.331 * [backup-simplify]: Simplify (+ 0 0) into 0 4.331 * [taylor]: Taking taylor expansion of 0 in y 4.331 * [backup-simplify]: Simplify 0 into 0 4.331 * [backup-simplify]: Simplify 1 into 1 4.332 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.333 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 4.333 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 4.333 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 4.333 * [taylor]: Taking taylor expansion of 2 in y 4.333 * [backup-simplify]: Simplify 2 into 2 4.333 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.333 * [taylor]: Taking taylor expansion of y in y 4.333 * [backup-simplify]: Simplify 0 into 0 4.333 * [backup-simplify]: Simplify 1 into 1 4.333 * [backup-simplify]: Simplify (/ 1 1) into 1 4.334 * [backup-simplify]: Simplify (* 2 1) into 2 4.334 * [backup-simplify]: Simplify 2 into 2 4.334 * [backup-simplify]: Simplify 0 into 0 4.334 * [backup-simplify]: Simplify 0 into 0 4.335 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.336 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.337 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 4.337 * [backup-simplify]: Simplify (+ 0 0) into 0 4.337 * [taylor]: Taking taylor expansion of 0 in y 4.337 * [backup-simplify]: Simplify 0 into 0 4.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.339 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.339 * [backup-simplify]: Simplify 0 into 0 4.339 * [backup-simplify]: Simplify 0 into 0 4.339 * [backup-simplify]: Simplify 0 into 0 4.340 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.341 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.341 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 4.341 * [backup-simplify]: Simplify (+ 0 0) into 0 4.341 * [taylor]: Taking taylor expansion of 0 in y 4.341 * [backup-simplify]: Simplify 0 into 0 4.342 * [backup-simplify]: Simplify 0 into 0 4.342 * [backup-simplify]: Simplify (+ (* 2 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) (* 2 y)) 4.342 * [backup-simplify]: Simplify (+ (* (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y)))) (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))))) (/ 1 (- y))) into (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) 4.342 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 4.342 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 4.342 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.342 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.342 * [taylor]: Taking taylor expansion of x in y 4.342 * [backup-simplify]: Simplify x into x 4.342 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.342 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.342 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 4.342 * [taylor]: Taking taylor expansion of 2 in y 4.342 * [backup-simplify]: Simplify 2 into 2 4.342 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.342 * [taylor]: Taking taylor expansion of y in y 4.343 * [backup-simplify]: Simplify 0 into 0 4.343 * [backup-simplify]: Simplify 1 into 1 4.343 * [backup-simplify]: Simplify (/ 1 1) into 1 4.343 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 4.343 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.343 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.343 * [taylor]: Taking taylor expansion of x in x 4.343 * [backup-simplify]: Simplify 0 into 0 4.343 * [backup-simplify]: Simplify 1 into 1 4.343 * [backup-simplify]: Simplify (* 1 1) into 1 4.343 * [backup-simplify]: Simplify (/ 1 1) into 1 4.343 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 4.343 * [taylor]: Taking taylor expansion of 2 in x 4.343 * [backup-simplify]: Simplify 2 into 2 4.343 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.344 * [taylor]: Taking taylor expansion of y in x 4.344 * [backup-simplify]: Simplify y into y 4.344 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.344 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 4.344 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.344 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.344 * [taylor]: Taking taylor expansion of x in x 4.344 * [backup-simplify]: Simplify 0 into 0 4.344 * [backup-simplify]: Simplify 1 into 1 4.344 * [backup-simplify]: Simplify (* 1 1) into 1 4.344 * [backup-simplify]: Simplify (/ 1 1) into 1 4.344 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 4.344 * [taylor]: Taking taylor expansion of 2 in x 4.344 * [backup-simplify]: Simplify 2 into 2 4.344 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.344 * [taylor]: Taking taylor expansion of y in x 4.344 * [backup-simplify]: Simplify y into y 4.345 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.345 * [backup-simplify]: Simplify (+ 1 0) into 1 4.345 * [taylor]: Taking taylor expansion of 1 in y 4.345 * [backup-simplify]: Simplify 1 into 1 4.346 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.347 * [backup-simplify]: Simplify (+ 0 0) into 0 4.347 * [taylor]: Taking taylor expansion of 0 in y 4.347 * [backup-simplify]: Simplify 0 into 0 4.347 * [backup-simplify]: Simplify 1 into 1 4.347 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.348 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 4.348 * [backup-simplify]: Simplify (- (/ 2 y)) into (- (* 2 (/ 1 y))) 4.348 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 y)))) into (- (* 2 (/ 1 y))) 4.348 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 4.348 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 4.348 * [taylor]: Taking taylor expansion of 2 in y 4.348 * [backup-simplify]: Simplify 2 into 2 4.348 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.348 * [taylor]: Taking taylor expansion of y in y 4.348 * [backup-simplify]: Simplify 0 into 0 4.348 * [backup-simplify]: Simplify 1 into 1 4.348 * [backup-simplify]: Simplify (/ 1 1) into 1 4.349 * [backup-simplify]: Simplify (* 2 1) into 2 4.349 * [backup-simplify]: Simplify (- 2) into -2 4.349 * [backup-simplify]: Simplify -2 into -2 4.349 * [backup-simplify]: Simplify 0 into 0 4.349 * [backup-simplify]: Simplify 0 into 0 4.350 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.350 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.351 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 4.351 * [backup-simplify]: Simplify (- 0) into 0 4.351 * [backup-simplify]: Simplify (+ 0 0) into 0 4.351 * [taylor]: Taking taylor expansion of 0 in y 4.351 * [backup-simplify]: Simplify 0 into 0 4.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.352 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 4.352 * [backup-simplify]: Simplify (- 0) into 0 4.352 * [backup-simplify]: Simplify 0 into 0 4.352 * [backup-simplify]: Simplify 0 into 0 4.352 * [backup-simplify]: Simplify 0 into 0 4.353 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.354 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.357 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 4.357 * [backup-simplify]: Simplify (- 0) into 0 4.357 * [backup-simplify]: Simplify (+ 0 0) into 0 4.357 * [taylor]: Taking taylor expansion of 0 in y 4.357 * [backup-simplify]: Simplify 0 into 0 4.357 * [backup-simplify]: Simplify 0 into 0 4.358 * [backup-simplify]: Simplify (+ (* -2 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) (* 2 y)) 4.358 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 4.358 * [backup-simplify]: Simplify (+ (* x x) y) into (+ (pow x 2) y) 4.358 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 4.358 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 4.358 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.358 * [taylor]: Taking taylor expansion of x in y 4.358 * [backup-simplify]: Simplify x into x 4.358 * [taylor]: Taking taylor expansion of y in y 4.358 * [backup-simplify]: Simplify 0 into 0 4.358 * [backup-simplify]: Simplify 1 into 1 4.358 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 4.358 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.358 * [taylor]: Taking taylor expansion of x in x 4.358 * [backup-simplify]: Simplify 0 into 0 4.358 * [backup-simplify]: Simplify 1 into 1 4.358 * [taylor]: Taking taylor expansion of y in x 4.358 * [backup-simplify]: Simplify y into y 4.358 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 4.358 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.358 * [taylor]: Taking taylor expansion of x in x 4.358 * [backup-simplify]: Simplify 0 into 0 4.358 * [backup-simplify]: Simplify 1 into 1 4.358 * [taylor]: Taking taylor expansion of y in x 4.358 * [backup-simplify]: Simplify y into y 4.358 * [backup-simplify]: Simplify (+ 0 y) into y 4.358 * [taylor]: Taking taylor expansion of y in y 4.358 * [backup-simplify]: Simplify 0 into 0 4.358 * [backup-simplify]: Simplify 1 into 1 4.358 * [backup-simplify]: Simplify 0 into 0 4.359 * [backup-simplify]: Simplify (+ 0 0) into 0 4.359 * [taylor]: Taking taylor expansion of 0 in y 4.359 * [backup-simplify]: Simplify 0 into 0 4.359 * [backup-simplify]: Simplify 0 into 0 4.359 * [backup-simplify]: Simplify 1 into 1 4.359 * [backup-simplify]: Simplify (* 1 1) into 1 4.359 * [backup-simplify]: Simplify (+ 1 0) into 1 4.359 * [taylor]: Taking taylor expansion of 1 in y 4.359 * [backup-simplify]: Simplify 1 into 1 4.359 * [backup-simplify]: Simplify 1 into 1 4.359 * [backup-simplify]: Simplify 0 into 0 4.359 * [backup-simplify]: Simplify 0 into 0 4.360 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.360 * [backup-simplify]: Simplify (+ 0 0) into 0 4.360 * [taylor]: Taking taylor expansion of 0 in y 4.360 * [backup-simplify]: Simplify 0 into 0 4.360 * [backup-simplify]: Simplify 0 into 0 4.360 * [backup-simplify]: Simplify 0 into 0 4.360 * [backup-simplify]: Simplify 0 into 0 4.360 * [backup-simplify]: Simplify 0 into 0 4.360 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 1 (* y 1))) into (+ (pow x 2) y) 4.361 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) into (+ (/ 1 (pow x 2)) (/ 1 y)) 4.361 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 4.361 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 4.361 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.361 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.361 * [taylor]: Taking taylor expansion of x in y 4.361 * [backup-simplify]: Simplify x into x 4.361 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.361 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.361 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.361 * [taylor]: Taking taylor expansion of y in y 4.361 * [backup-simplify]: Simplify 0 into 0 4.361 * [backup-simplify]: Simplify 1 into 1 4.361 * [backup-simplify]: Simplify (/ 1 1) into 1 4.361 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 4.361 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.361 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.361 * [taylor]: Taking taylor expansion of x in x 4.361 * [backup-simplify]: Simplify 0 into 0 4.361 * [backup-simplify]: Simplify 1 into 1 4.361 * [backup-simplify]: Simplify (* 1 1) into 1 4.362 * [backup-simplify]: Simplify (/ 1 1) into 1 4.362 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.362 * [taylor]: Taking taylor expansion of y in x 4.362 * [backup-simplify]: Simplify y into y 4.362 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.362 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 4.362 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.362 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.362 * [taylor]: Taking taylor expansion of x in x 4.362 * [backup-simplify]: Simplify 0 into 0 4.362 * [backup-simplify]: Simplify 1 into 1 4.362 * [backup-simplify]: Simplify (* 1 1) into 1 4.362 * [backup-simplify]: Simplify (/ 1 1) into 1 4.362 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.362 * [taylor]: Taking taylor expansion of y in x 4.362 * [backup-simplify]: Simplify y into y 4.362 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.363 * [backup-simplify]: Simplify (+ 1 0) into 1 4.363 * [taylor]: Taking taylor expansion of 1 in y 4.363 * [backup-simplify]: Simplify 1 into 1 4.363 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.364 * [backup-simplify]: Simplify (+ 0 0) into 0 4.364 * [taylor]: Taking taylor expansion of 0 in y 4.364 * [backup-simplify]: Simplify 0 into 0 4.364 * [backup-simplify]: Simplify 1 into 1 4.364 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.365 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 4.365 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.365 * [taylor]: Taking taylor expansion of y in y 4.365 * [backup-simplify]: Simplify 0 into 0 4.365 * [backup-simplify]: Simplify 1 into 1 4.365 * [backup-simplify]: Simplify (/ 1 1) into 1 4.365 * [backup-simplify]: Simplify 1 into 1 4.365 * [backup-simplify]: Simplify 0 into 0 4.365 * [backup-simplify]: Simplify 0 into 0 4.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.367 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.367 * [backup-simplify]: Simplify (+ 0 0) into 0 4.367 * [taylor]: Taking taylor expansion of 0 in y 4.367 * [backup-simplify]: Simplify 0 into 0 4.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.367 * [backup-simplify]: Simplify 0 into 0 4.367 * [backup-simplify]: Simplify 0 into 0 4.368 * [backup-simplify]: Simplify 0 into 0 4.368 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.369 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.369 * [backup-simplify]: Simplify (+ 0 0) into 0 4.369 * [taylor]: Taking taylor expansion of 0 in y 4.369 * [backup-simplify]: Simplify 0 into 0 4.369 * [backup-simplify]: Simplify 0 into 0 4.369 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) y) 4.370 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))) into (- (/ 1 (pow x 2)) (/ 1 y)) 4.370 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 4.370 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 4.370 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.370 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.370 * [taylor]: Taking taylor expansion of x in y 4.370 * [backup-simplify]: Simplify x into x 4.370 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.370 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.370 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.370 * [taylor]: Taking taylor expansion of y in y 4.370 * [backup-simplify]: Simplify 0 into 0 4.370 * [backup-simplify]: Simplify 1 into 1 4.370 * [backup-simplify]: Simplify (/ 1 1) into 1 4.370 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 4.370 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.370 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.370 * [taylor]: Taking taylor expansion of x in x 4.370 * [backup-simplify]: Simplify 0 into 0 4.370 * [backup-simplify]: Simplify 1 into 1 4.370 * [backup-simplify]: Simplify (* 1 1) into 1 4.371 * [backup-simplify]: Simplify (/ 1 1) into 1 4.371 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.371 * [taylor]: Taking taylor expansion of y in x 4.371 * [backup-simplify]: Simplify y into y 4.371 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.371 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 4.371 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.371 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.371 * [taylor]: Taking taylor expansion of x in x 4.371 * [backup-simplify]: Simplify 0 into 0 4.371 * [backup-simplify]: Simplify 1 into 1 4.371 * [backup-simplify]: Simplify (* 1 1) into 1 4.371 * [backup-simplify]: Simplify (/ 1 1) into 1 4.371 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.371 * [taylor]: Taking taylor expansion of y in x 4.371 * [backup-simplify]: Simplify y into y 4.371 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.372 * [backup-simplify]: Simplify (+ 1 0) into 1 4.372 * [taylor]: Taking taylor expansion of 1 in y 4.372 * [backup-simplify]: Simplify 1 into 1 4.372 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.373 * [backup-simplify]: Simplify (+ 0 0) into 0 4.373 * [taylor]: Taking taylor expansion of 0 in y 4.373 * [backup-simplify]: Simplify 0 into 0 4.373 * [backup-simplify]: Simplify 1 into 1 4.374 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.374 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 4.374 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 4.374 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 4.374 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.374 * [taylor]: Taking taylor expansion of y in y 4.374 * [backup-simplify]: Simplify 0 into 0 4.374 * [backup-simplify]: Simplify 1 into 1 4.375 * [backup-simplify]: Simplify (/ 1 1) into 1 4.375 * [backup-simplify]: Simplify (- 1) into -1 4.375 * [backup-simplify]: Simplify -1 into -1 4.375 * [backup-simplify]: Simplify 0 into 0 4.375 * [backup-simplify]: Simplify 0 into 0 4.375 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.376 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.377 * [backup-simplify]: Simplify (- 0) into 0 4.377 * [backup-simplify]: Simplify (+ 0 0) into 0 4.377 * [taylor]: Taking taylor expansion of 0 in y 4.377 * [backup-simplify]: Simplify 0 into 0 4.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.378 * [backup-simplify]: Simplify (- 0) into 0 4.378 * [backup-simplify]: Simplify 0 into 0 4.378 * [backup-simplify]: Simplify 0 into 0 4.378 * [backup-simplify]: Simplify 0 into 0 4.380 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.381 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.381 * [backup-simplify]: Simplify (- 0) into 0 4.381 * [backup-simplify]: Simplify (+ 0 0) into 0 4.381 * [taylor]: Taking taylor expansion of 0 in y 4.381 * [backup-simplify]: Simplify 0 into 0 4.382 * [backup-simplify]: Simplify 0 into 0 4.382 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) y) 4.382 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 4.382 * [backup-simplify]: Simplify (+ (* x x) y) into (+ (pow x 2) y) 4.382 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 4.382 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 4.382 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.382 * [taylor]: Taking taylor expansion of x in y 4.382 * [backup-simplify]: Simplify x into x 4.382 * [taylor]: Taking taylor expansion of y in y 4.382 * [backup-simplify]: Simplify 0 into 0 4.382 * [backup-simplify]: Simplify 1 into 1 4.382 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 4.382 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.382 * [taylor]: Taking taylor expansion of x in x 4.383 * [backup-simplify]: Simplify 0 into 0 4.383 * [backup-simplify]: Simplify 1 into 1 4.383 * [taylor]: Taking taylor expansion of y in x 4.383 * [backup-simplify]: Simplify y into y 4.383 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 4.383 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.383 * [taylor]: Taking taylor expansion of x in x 4.383 * [backup-simplify]: Simplify 0 into 0 4.383 * [backup-simplify]: Simplify 1 into 1 4.383 * [taylor]: Taking taylor expansion of y in x 4.383 * [backup-simplify]: Simplify y into y 4.383 * [backup-simplify]: Simplify (+ 0 y) into y 4.383 * [taylor]: Taking taylor expansion of y in y 4.383 * [backup-simplify]: Simplify 0 into 0 4.383 * [backup-simplify]: Simplify 1 into 1 4.383 * [backup-simplify]: Simplify 0 into 0 4.384 * [backup-simplify]: Simplify (+ 0 0) into 0 4.384 * [taylor]: Taking taylor expansion of 0 in y 4.384 * [backup-simplify]: Simplify 0 into 0 4.384 * [backup-simplify]: Simplify 0 into 0 4.384 * [backup-simplify]: Simplify 1 into 1 4.384 * [backup-simplify]: Simplify (* 1 1) into 1 4.385 * [backup-simplify]: Simplify (+ 1 0) into 1 4.385 * [taylor]: Taking taylor expansion of 1 in y 4.385 * [backup-simplify]: Simplify 1 into 1 4.385 * [backup-simplify]: Simplify 1 into 1 4.385 * [backup-simplify]: Simplify 0 into 0 4.385 * [backup-simplify]: Simplify 0 into 0 4.386 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.386 * [backup-simplify]: Simplify (+ 0 0) into 0 4.386 * [taylor]: Taking taylor expansion of 0 in y 4.386 * [backup-simplify]: Simplify 0 into 0 4.386 * [backup-simplify]: Simplify 0 into 0 4.386 * [backup-simplify]: Simplify 0 into 0 4.386 * [backup-simplify]: Simplify 0 into 0 4.386 * [backup-simplify]: Simplify 0 into 0 4.386 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 1 (* y 1))) into (+ (pow x 2) y) 4.387 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) into (+ (/ 1 (pow x 2)) (/ 1 y)) 4.387 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 4.387 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 4.387 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.387 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.387 * [taylor]: Taking taylor expansion of x in y 4.387 * [backup-simplify]: Simplify x into x 4.387 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.387 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.387 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.387 * [taylor]: Taking taylor expansion of y in y 4.387 * [backup-simplify]: Simplify 0 into 0 4.387 * [backup-simplify]: Simplify 1 into 1 4.388 * [backup-simplify]: Simplify (/ 1 1) into 1 4.388 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 4.388 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.388 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.388 * [taylor]: Taking taylor expansion of x in x 4.388 * [backup-simplify]: Simplify 0 into 0 4.388 * [backup-simplify]: Simplify 1 into 1 4.388 * [backup-simplify]: Simplify (* 1 1) into 1 4.388 * [backup-simplify]: Simplify (/ 1 1) into 1 4.389 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.389 * [taylor]: Taking taylor expansion of y in x 4.389 * [backup-simplify]: Simplify y into y 4.389 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.389 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 4.389 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.389 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.389 * [taylor]: Taking taylor expansion of x in x 4.389 * [backup-simplify]: Simplify 0 into 0 4.389 * [backup-simplify]: Simplify 1 into 1 4.389 * [backup-simplify]: Simplify (* 1 1) into 1 4.389 * [backup-simplify]: Simplify (/ 1 1) into 1 4.390 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.390 * [taylor]: Taking taylor expansion of y in x 4.390 * [backup-simplify]: Simplify y into y 4.390 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.390 * [backup-simplify]: Simplify (+ 1 0) into 1 4.390 * [taylor]: Taking taylor expansion of 1 in y 4.390 * [backup-simplify]: Simplify 1 into 1 4.391 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.392 * [backup-simplify]: Simplify (+ 0 0) into 0 4.392 * [taylor]: Taking taylor expansion of 0 in y 4.392 * [backup-simplify]: Simplify 0 into 0 4.392 * [backup-simplify]: Simplify 1 into 1 4.393 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.394 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 4.394 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.394 * [taylor]: Taking taylor expansion of y in y 4.394 * [backup-simplify]: Simplify 0 into 0 4.394 * [backup-simplify]: Simplify 1 into 1 4.394 * [backup-simplify]: Simplify (/ 1 1) into 1 4.394 * [backup-simplify]: Simplify 1 into 1 4.395 * [backup-simplify]: Simplify 0 into 0 4.395 * [backup-simplify]: Simplify 0 into 0 4.396 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.397 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.397 * [backup-simplify]: Simplify (+ 0 0) into 0 4.397 * [taylor]: Taking taylor expansion of 0 in y 4.397 * [backup-simplify]: Simplify 0 into 0 4.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.398 * [backup-simplify]: Simplify 0 into 0 4.398 * [backup-simplify]: Simplify 0 into 0 4.398 * [backup-simplify]: Simplify 0 into 0 4.399 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.401 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.401 * [backup-simplify]: Simplify (+ 0 0) into 0 4.401 * [taylor]: Taking taylor expansion of 0 in y 4.401 * [backup-simplify]: Simplify 0 into 0 4.401 * [backup-simplify]: Simplify 0 into 0 4.401 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) y) 4.402 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))) into (- (/ 1 (pow x 2)) (/ 1 y)) 4.402 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 4.402 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 4.402 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 4.402 * [taylor]: Taking taylor expansion of (pow x 2) in y 4.402 * [taylor]: Taking taylor expansion of x in y 4.402 * [backup-simplify]: Simplify x into x 4.402 * [backup-simplify]: Simplify (* x x) into (pow x 2) 4.402 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 4.402 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.402 * [taylor]: Taking taylor expansion of y in y 4.402 * [backup-simplify]: Simplify 0 into 0 4.402 * [backup-simplify]: Simplify 1 into 1 4.403 * [backup-simplify]: Simplify (/ 1 1) into 1 4.403 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 4.403 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.403 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.403 * [taylor]: Taking taylor expansion of x in x 4.403 * [backup-simplify]: Simplify 0 into 0 4.403 * [backup-simplify]: Simplify 1 into 1 4.404 * [backup-simplify]: Simplify (* 1 1) into 1 4.404 * [backup-simplify]: Simplify (/ 1 1) into 1 4.404 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.404 * [taylor]: Taking taylor expansion of y in x 4.404 * [backup-simplify]: Simplify y into y 4.404 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.404 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 4.404 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 4.404 * [taylor]: Taking taylor expansion of (pow x 2) in x 4.404 * [taylor]: Taking taylor expansion of x in x 4.404 * [backup-simplify]: Simplify 0 into 0 4.404 * [backup-simplify]: Simplify 1 into 1 4.405 * [backup-simplify]: Simplify (* 1 1) into 1 4.405 * [backup-simplify]: Simplify (/ 1 1) into 1 4.405 * [taylor]: Taking taylor expansion of (/ 1 y) in x 4.405 * [taylor]: Taking taylor expansion of y in x 4.405 * [backup-simplify]: Simplify y into y 4.405 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.406 * [backup-simplify]: Simplify (+ 1 0) into 1 4.406 * [taylor]: Taking taylor expansion of 1 in y 4.406 * [backup-simplify]: Simplify 1 into 1 4.407 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.408 * [backup-simplify]: Simplify (+ 0 0) into 0 4.408 * [taylor]: Taking taylor expansion of 0 in y 4.408 * [backup-simplify]: Simplify 0 into 0 4.408 * [backup-simplify]: Simplify 1 into 1 4.409 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.410 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 4.410 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 4.410 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 4.410 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.410 * [taylor]: Taking taylor expansion of y in y 4.410 * [backup-simplify]: Simplify 0 into 0 4.410 * [backup-simplify]: Simplify 1 into 1 4.411 * [backup-simplify]: Simplify (/ 1 1) into 1 4.411 * [backup-simplify]: Simplify (- 1) into -1 4.411 * [backup-simplify]: Simplify -1 into -1 4.411 * [backup-simplify]: Simplify 0 into 0 4.411 * [backup-simplify]: Simplify 0 into 0 4.412 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.413 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 4.413 * [backup-simplify]: Simplify (- 0) into 0 4.413 * [backup-simplify]: Simplify (+ 0 0) into 0 4.413 * [taylor]: Taking taylor expansion of 0 in y 4.413 * [backup-simplify]: Simplify 0 into 0 4.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.414 * [backup-simplify]: Simplify (- 0) into 0 4.414 * [backup-simplify]: Simplify 0 into 0 4.414 * [backup-simplify]: Simplify 0 into 0 4.414 * [backup-simplify]: Simplify 0 into 0 4.415 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.416 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.416 * [backup-simplify]: Simplify (- 0) into 0 4.416 * [backup-simplify]: Simplify (+ 0 0) into 0 4.416 * [taylor]: Taking taylor expansion of 0 in y 4.416 * [backup-simplify]: Simplify 0 into 0 4.416 * [backup-simplify]: Simplify 0 into 0 4.416 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) y) 4.416 * * * [progress]: simplifying candidates 4.418 * [simplify]: Simplifying: (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (+ (* x x) y) (+ (* x x) y)) (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (* (+ (* x x) y) (+ (* x x) y)) (+ 1 1) (+ (log (sqrt (+ (* x x) y))) (log (sqrt (+ (* x x) y)))) (log (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)))) (exp (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)))) (* (* (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y))) (* (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y)))) (* (cbrt (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)))) (cbrt (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))))) (cbrt (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)))) (* (* (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)))) (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)))) (* (+ (* x x) y) (+ (* x x) y)) (sqrt (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)))) (sqrt (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)))) (* (sqrt (+ (pow (* x x) 3) (pow y 3))) (sqrt (+ (pow (* x x) 3) (pow y 3)))) (* (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))))) (* (sqrt (+ (pow (* x x) 3) (pow y 3))) (sqrt (- (* (* x x) (* x x)) (* y y)))) (* (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y)))) (sqrt (- (* x x) y))) (* (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (+ (pow (* x x) 3) (pow y 3)))) (* (sqrt (- (* x x) y)) (sqrt (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))))) (* (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (- (* (* x x) (* x x)) (* y y)))) (* (sqrt (- (* x x) y)) (sqrt (- (* x x) y))) (* (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))))) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (* (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y)))) (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))))) (* (sqrt (cbrt (+ (* x x) y))) (sqrt (cbrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* 1 1) (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (sqrt (+ (* x x) y)))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (+ (* x x) y)) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y))))) (* (sqrt (+ (* x x) y)) (sqrt (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))))) (* (sqrt (+ (* x x) y)) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (+ (* x x) y)) (sqrt 1)) (* (sqrt (+ (* x x) y)) (sqrt (sqrt (+ (* x x) y)))) (* (sqrt (+ (* x x) y)) 1) (* (cbrt (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y))) (* (sqrt (cbrt (+ (* x x) y))) (sqrt (+ (* x x) y))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y))) (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (* (sqrt (sqrt (+ (* x x) y))) (sqrt (+ (* x x) y))) (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (* (sqrt (+ (* x x) y)) (sqrt (+ (pow (* x x) 3) (pow y 3)))) (* (sqrt (+ (* x x) y)) (sqrt (- (* (* x x) (* x x)) (* y y)))) (* (sqrt (+ (pow (* x x) 3) (pow y 3))) (sqrt (+ (* x x) y))) (* (sqrt (- (* (* x x) (* x x)) (* y y))) (sqrt (+ (* x x) y))) (* (exp (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)))) (exp y)) (log (+ (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) y)) (exp (+ (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) y)) (* (cbrt (+ (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) y)) (cbrt (+ (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) y))) (cbrt (+ (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) y)) (* (* (+ (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) y) (+ (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) y)) (+ (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) y)) (sqrt (+ (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) y)) (sqrt (+ (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) y)) (+ (pow (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) 3) (pow y 3)) (+ (* (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)))) (- (* y y) (* (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) y))) (- (* (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)))) (* y y)) (- (* (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y))) y) (* (exp (* x x)) (exp y)) (log (+ (* x x) y)) (exp (+ (* x x) y)) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (* (* (+ (* x x) y) (+ (* x x) y)) (+ (* x x) y)) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (+ (pow (* x x) 3) (pow y 3)) (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))) (- (* (* x x) (* x x)) (* y y)) (- (* x x) y) (* (exp (* x x)) (exp y)) (log (+ (* x x) y)) (exp (+ (* x x) y)) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (* (* (+ (* x x) y) (+ (* x x) y)) (+ (* x x) y)) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (+ (pow (* x x) 3) (pow y 3)) (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))) (- (* (* x x) (* x x)) (* y y)) (- (* x x) y) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) 4.420 * * [simplify]: Extracting # 0 : cost 0 4.420 * * [simplify]: Extracting # 1 : cost 0 4.420 * * [simplify]: Extracting # 2 : cost 0 4.420 * * [simplify]: Extracting # 3 : cost 0 4.421 * * [simplify]: Extracting # 4 : cost 0 4.421 * * [simplify]: Extracting # 5 : cost 0 4.421 * * [simplify]: Extracting # 6 : cost 0 4.421 * * [simplify]: Extracting # 7 : cost 0 4.421 * * [simplify]: iteration 0 : 105 enodes (cost 1650 ) 4.456 * * [simplify]: Extracting # 0 : cost 0 4.457 * * [simplify]: Extracting # 1 : cost 0 4.457 * * [simplify]: Extracting # 2 : cost 0 4.457 * * [simplify]: Extracting # 3 : cost 0 4.457 * * [simplify]: Extracting # 4 : cost 0 4.458 * * [simplify]: Extracting # 5 : cost 0 4.458 * * [simplify]: iteration 1 : 272 enodes (cost 1047 ) 4.627 * * [simplify]: Extracting # 0 : cost 0 4.630 * * [simplify]: Extracting # 1 : cost 0 4.633 * * [simplify]: Extracting # 2 : cost 0 4.635 * * [simplify]: Extracting # 3 : cost 0 4.638 * * [simplify]: Extracting # 4 : cost 0 4.641 * * [simplify]: Extracting # 5 : cost 0 4.643 * * [simplify]: iteration 2 : 1232 enodes (cost 919 ) 5.165 * * [simplify]: Extracting # 0 : cost 0 5.176 * * [simplify]: Extracting # 1 : cost 0 5.183 * * [simplify]: Extracting # 2 : cost 0 5.189 * * [simplify]: Extracting # 3 : cost 0 5.196 * * [simplify]: Extracting # 4 : cost 0 5.202 * * [simplify]: Extracting # 5 : cost 0 5.212 * * [simplify]: iteration done: 5000 enodes (cost 894 ) 5.212 * [simplify]: Simplified to: 1 1 2 1 1 (pow (sqrt (+ y (* x x))) (+ 3 1)) (+ y (* x x)) (pow (sqrt (+ y (* x x))) (+ 3 1)) 2 (log (+ (* x x) y)) (log (+ (* x x) y)) (exp (+ (* x x) y)) (pow (+ y (* x x)) 3) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ y (* x x))) (pow (+ y (* x x)) 3) (pow (sqrt (+ y (* x x))) (+ 3 1)) (sqrt (+ y (* x x))) (sqrt (+ y (* x x))) (+ (pow y 3) (pow x 6)) (+ (* y (- y (* x x))) (pow x 4)) (* (sqrt (+ (pow y 3) (pow x 6))) (sqrt (- (pow x 4) (* y y)))) (* (sqrt (+ (* y (- y (* x x))) (pow x 4))) (sqrt (- (* x x) y))) (* (sqrt (+ (pow y 3) (pow x 6))) (sqrt (- (pow x 4) (* y y)))) (* (sqrt (+ (* y (- y (* x x))) (pow x 4))) (sqrt (- (* x x) y))) (- (pow x 4) (* y y)) (- (* x x) y) (pow (cbrt (sqrt (+ (* x x) y))) (+ 3 1)) (* (cbrt (sqrt (+ (* x x) y))) (cbrt (sqrt (+ (* x x) y)))) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ y (* x x))) (sqrt (+ y (* x x))) (sqrt (+ y (* x x))) (sqrt (+ y (* x x))) (sqrt (+ y (* x x))) 1 (+ y (* x x)) (sqrt (+ y (* x x))) (sqrt (+ y (* x x))) (sqrt (+ y (* x x))) (sqrt (+ y (* x x))) 1 (+ y (* x x)) (sqrt (+ y (* x x))) (sqrt (+ y (* x x))) (sqrt (+ y (* x x))) (sqrt (+ y (* x x))) (sqrt (+ y (* x x))) (sqrt (+ y (* x x))) (sqrt (+ y (* x x))) (sqrt (+ y (* x x))) 1 2 1 (* (cbrt (sqrt (+ (* x x) y))) (pow (cbrt (sqrt (+ (* x x) y))) (+ 3 1))) (* (fabs (cbrt (+ (* x x) y))) (sqrt (+ y (* x x)))) (pow (sqrt (sqrt (+ (* x x) y))) 3) (sqrt (+ y (* x x))) (pow (sqrt (sqrt (+ (* x x) y))) 3) (sqrt (+ y (* x x))) (pow (cbrt (sqrt (+ (* x x) y))) (+ 3 1)) (* (sqrt (cbrt (+ (* x x) y))) (sqrt (+ (* x x) y))) (pow (sqrt (sqrt (+ (* x x) y))) 3) (+ y (* x x)) (pow (sqrt (sqrt (+ (* x x) y))) 3) (+ y (* x x)) (* (sqrt (+ y (* x x))) (sqrt (+ (pow y 3) (pow x 6)))) (* (sqrt (- (pow x 4) (* y y))) (sqrt (+ y (* x x)))) (* (sqrt (+ y (* x x))) (sqrt (+ (pow y 3) (pow x 6)))) (* (sqrt (- (pow x 4) (* y y))) (sqrt (+ y (* x x)))) (exp (+ y (+ y (* x x)))) (log (+ y (+ y (* x x)))) (exp (+ y (+ y (* x x)))) (* (cbrt (+ y (+ y (* x x)))) (cbrt (+ y (+ y (* x x))))) (cbrt (+ y (+ y (* x x)))) (pow (+ y (+ y (* x x))) 3) (sqrt (+ y (+ y (* x x)))) (sqrt (+ y (+ y (* x x)))) (+ (pow (+ (pow x 2) y) 3) (pow y 3)) (+ (* y y) (* (+ y (* x x)) (+ (* x x) 0))) (* (+ (* x x) 0) (+ (+ y (* x x)) y)) (+ (* x x) 0) (exp (+ (* x x) y)) (log (+ (* x x) y)) (exp (+ (* x x) y)) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ y (* x x))) (pow (+ y (* x x)) 3) (sqrt (+ y (* x x))) (sqrt (+ y (* x x))) (+ (pow y 3) (pow x 6)) (+ (* y (- y (* x x))) (pow x 4)) (- (pow x 4) (* y y)) (- (* x x) y) (exp (+ (* x x) y)) (log (+ (* x x) y)) (exp (+ (* x x) y)) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ y (* x x))) (pow (+ y (* x x)) 3) (sqrt (+ y (* x x))) (sqrt (+ y (* x x))) (+ (pow y 3) (pow x 6)) (+ (* y (- y (* x x))) (pow x 4)) (- (pow x 4) (* y y)) (- (* x x) y) (+ y (* x x)) (+ y (* x x)) (+ y (* x x)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ y (* x x)) (+ y (* x x)) (+ y (* x x)) (+ y (* x x)) (+ y (* x x)) (+ y (* x x)) 5.213 * * * [progress]: adding candidates to table 5.414 * * [progress]: iteration 4 / 4 5.414 * * * [progress]: picking best candidate 5.417 * * * * [pick]: Picked # 5.417 * * * [progress]: localizing error 5.440 * * * [progress]: generating rewritten candidates 5.441 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 5.494 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 5.527 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 5.553 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 5.563 * * * [progress]: generating series expansions 5.564 * * * * [progress]: [ 1 / 4 ] generating series at (2) 5.564 * [backup-simplify]: Simplify (/ (- (pow x 4) (* 4 (* y y))) (- (* x x) (* 2 y))) into (/ (- (pow x 4) (* 4 (pow y 2))) (- (pow x 2) (* 2 y))) 5.564 * [approximate]: Taking taylor expansion of (/ (- (pow x 4) (* 4 (pow y 2))) (- (pow x 2) (* 2 y))) in (x y) around 0 5.564 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (* 4 (pow y 2))) (- (pow x 2) (* 2 y))) in y 5.564 * [taylor]: Taking taylor expansion of (- (pow x 4) (* 4 (pow y 2))) in y 5.564 * [taylor]: Taking taylor expansion of (pow x 4) in y 5.564 * [taylor]: Taking taylor expansion of x in y 5.564 * [backup-simplify]: Simplify x into x 5.564 * [taylor]: Taking taylor expansion of (* 4 (pow y 2)) in y 5.564 * [taylor]: Taking taylor expansion of 4 in y 5.564 * [backup-simplify]: Simplify 4 into 4 5.564 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.564 * [taylor]: Taking taylor expansion of y in y 5.564 * [backup-simplify]: Simplify 0 into 0 5.564 * [backup-simplify]: Simplify 1 into 1 5.564 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 2 y)) in y 5.564 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.564 * [taylor]: Taking taylor expansion of x in y 5.564 * [backup-simplify]: Simplify x into x 5.564 * [taylor]: Taking taylor expansion of (* 2 y) in y 5.564 * [taylor]: Taking taylor expansion of 2 in y 5.564 * [backup-simplify]: Simplify 2 into 2 5.564 * [taylor]: Taking taylor expansion of y in y 5.564 * [backup-simplify]: Simplify 0 into 0 5.564 * [backup-simplify]: Simplify 1 into 1 5.564 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.564 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 5.565 * [backup-simplify]: Simplify (+ (pow x 4) 0) into (pow x 4) 5.565 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.565 * [backup-simplify]: Simplify (* 2 0) into 0 5.565 * [backup-simplify]: Simplify (- 0) into 0 5.565 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 5.566 * [backup-simplify]: Simplify (/ (pow x 4) (pow x 2)) into (pow x 2) 5.566 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (* 4 (pow y 2))) (- (pow x 2) (* 2 y))) in x 5.566 * [taylor]: Taking taylor expansion of (- (pow x 4) (* 4 (pow y 2))) in x 5.566 * [taylor]: Taking taylor expansion of (pow x 4) in x 5.566 * [taylor]: Taking taylor expansion of x in x 5.566 * [backup-simplify]: Simplify 0 into 0 5.566 * [backup-simplify]: Simplify 1 into 1 5.566 * [taylor]: Taking taylor expansion of (* 4 (pow y 2)) in x 5.566 * [taylor]: Taking taylor expansion of 4 in x 5.566 * [backup-simplify]: Simplify 4 into 4 5.566 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.566 * [taylor]: Taking taylor expansion of y in x 5.566 * [backup-simplify]: Simplify y into y 5.566 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 2 y)) in x 5.566 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.566 * [taylor]: Taking taylor expansion of x in x 5.566 * [backup-simplify]: Simplify 0 into 0 5.566 * [backup-simplify]: Simplify 1 into 1 5.566 * [taylor]: Taking taylor expansion of (* 2 y) in x 5.566 * [taylor]: Taking taylor expansion of 2 in x 5.566 * [backup-simplify]: Simplify 2 into 2 5.566 * [taylor]: Taking taylor expansion of y in x 5.566 * [backup-simplify]: Simplify y into y 5.566 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.566 * [backup-simplify]: Simplify (* 4 (pow y 2)) into (* 4 (pow y 2)) 5.566 * [backup-simplify]: Simplify (- (* 4 (pow y 2))) into (- (* 4 (pow y 2))) 5.566 * [backup-simplify]: Simplify (+ 0 (- (* 4 (pow y 2)))) into (- (* 4 (pow y 2))) 5.566 * [backup-simplify]: Simplify (* 2 y) into (* 2 y) 5.566 * [backup-simplify]: Simplify (- (* 2 y)) into (- (* 2 y)) 5.567 * [backup-simplify]: Simplify (+ 0 (- (* 2 y))) into (- (* 2 y)) 5.567 * [backup-simplify]: Simplify (/ (- (* 4 (pow y 2))) (- (* 2 y))) into (* 2 y) 5.567 * [taylor]: Taking taylor expansion of (/ (- (pow x 4) (* 4 (pow y 2))) (- (pow x 2) (* 2 y))) in x 5.567 * [taylor]: Taking taylor expansion of (- (pow x 4) (* 4 (pow y 2))) in x 5.567 * [taylor]: Taking taylor expansion of (pow x 4) in x 5.567 * [taylor]: Taking taylor expansion of x in x 5.567 * [backup-simplify]: Simplify 0 into 0 5.567 * [backup-simplify]: Simplify 1 into 1 5.567 * [taylor]: Taking taylor expansion of (* 4 (pow y 2)) in x 5.567 * [taylor]: Taking taylor expansion of 4 in x 5.567 * [backup-simplify]: Simplify 4 into 4 5.567 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.567 * [taylor]: Taking taylor expansion of y in x 5.567 * [backup-simplify]: Simplify y into y 5.567 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 2 y)) in x 5.567 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.567 * [taylor]: Taking taylor expansion of x in x 5.567 * [backup-simplify]: Simplify 0 into 0 5.567 * [backup-simplify]: Simplify 1 into 1 5.567 * [taylor]: Taking taylor expansion of (* 2 y) in x 5.567 * [taylor]: Taking taylor expansion of 2 in x 5.567 * [backup-simplify]: Simplify 2 into 2 5.567 * [taylor]: Taking taylor expansion of y in x 5.567 * [backup-simplify]: Simplify y into y 5.567 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.567 * [backup-simplify]: Simplify (* 4 (pow y 2)) into (* 4 (pow y 2)) 5.567 * [backup-simplify]: Simplify (- (* 4 (pow y 2))) into (- (* 4 (pow y 2))) 5.567 * [backup-simplify]: Simplify (+ 0 (- (* 4 (pow y 2)))) into (- (* 4 (pow y 2))) 5.567 * [backup-simplify]: Simplify (* 2 y) into (* 2 y) 5.568 * [backup-simplify]: Simplify (- (* 2 y)) into (- (* 2 y)) 5.568 * [backup-simplify]: Simplify (+ 0 (- (* 2 y))) into (- (* 2 y)) 5.568 * [backup-simplify]: Simplify (/ (- (* 4 (pow y 2))) (- (* 2 y))) into (* 2 y) 5.568 * [taylor]: Taking taylor expansion of (* 2 y) in y 5.568 * [taylor]: Taking taylor expansion of 2 in y 5.568 * [backup-simplify]: Simplify 2 into 2 5.568 * [taylor]: Taking taylor expansion of y in y 5.568 * [backup-simplify]: Simplify 0 into 0 5.568 * [backup-simplify]: Simplify 1 into 1 5.568 * [backup-simplify]: Simplify (* 2 0) into 0 5.568 * [backup-simplify]: Simplify 0 into 0 5.568 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.569 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow y 2))) into 0 5.569 * [backup-simplify]: Simplify (- 0) into 0 5.569 * [backup-simplify]: Simplify (+ 0 0) into 0 5.569 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 y)) into 0 5.570 * [backup-simplify]: Simplify (- 0) into 0 5.570 * [backup-simplify]: Simplify (+ 0 0) into 0 5.570 * [backup-simplify]: Simplify (- (/ 0 (- (* 2 y))) (+ (* (* 2 y) (/ 0 (- (* 2 y)))))) into 0 5.570 * [taylor]: Taking taylor expansion of 0 in y 5.570 * [backup-simplify]: Simplify 0 into 0 5.570 * [backup-simplify]: Simplify 0 into 0 5.571 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 5.571 * [backup-simplify]: Simplify 2 into 2 5.571 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 5.572 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 5.572 * [backup-simplify]: Simplify (- 0) into 0 5.573 * [backup-simplify]: Simplify (+ 0 0) into 0 5.573 * [backup-simplify]: Simplify (* 1 1) into 1 5.574 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 y))) into 0 5.574 * [backup-simplify]: Simplify (- 0) into 0 5.574 * [backup-simplify]: Simplify (+ 1 0) into 1 5.574 * [backup-simplify]: Simplify (- (/ 0 (- (* 2 y))) (+ (* (* 2 y) (/ 1 (- (* 2 y)))) (* 0 (/ 0 (- (* 2 y)))))) into 1 5.574 * [taylor]: Taking taylor expansion of 1 in y 5.574 * [backup-simplify]: Simplify 1 into 1 5.574 * [backup-simplify]: Simplify 1 into 1 5.574 * [backup-simplify]: Simplify 0 into 0 5.575 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 5.575 * [backup-simplify]: Simplify 0 into 0 5.576 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 5.576 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 5.577 * [backup-simplify]: Simplify (- 0) into 0 5.577 * [backup-simplify]: Simplify (+ 0 0) into 0 5.577 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.578 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 5.578 * [backup-simplify]: Simplify (- 0) into 0 5.578 * [backup-simplify]: Simplify (+ 0 0) into 0 5.579 * [backup-simplify]: Simplify (- (/ 0 (- (* 2 y))) (+ (* (* 2 y) (/ 0 (- (* 2 y)))) (* 0 (/ 1 (- (* 2 y)))) (* 1 (/ 0 (- (* 2 y)))))) into 0 5.579 * [taylor]: Taking taylor expansion of 0 in y 5.579 * [backup-simplify]: Simplify 0 into 0 5.579 * [backup-simplify]: Simplify 0 into 0 5.579 * [backup-simplify]: Simplify 0 into 0 5.579 * [backup-simplify]: Simplify 0 into 0 5.580 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.580 * [backup-simplify]: Simplify 0 into 0 5.580 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 2 (* y 1))) into (+ (pow x 2) (* 2 y)) 5.580 * [backup-simplify]: Simplify (/ (- (pow (/ 1 x) 4) (* 4 (* (/ 1 y) (/ 1 y)))) (- (* (/ 1 x) (/ 1 x)) (* 2 (/ 1 y)))) into (/ (- (/ 1 (pow x 4)) (* 4 (/ 1 (pow y 2)))) (- (/ 1 (pow x 2)) (* 2 (/ 1 y)))) 5.580 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (* 4 (/ 1 (pow y 2)))) (- (/ 1 (pow x 2)) (* 2 (/ 1 y)))) in (x y) around 0 5.580 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (* 4 (/ 1 (pow y 2)))) (- (/ 1 (pow x 2)) (* 2 (/ 1 y)))) in y 5.580 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (* 4 (/ 1 (pow y 2)))) in y 5.580 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 5.580 * [taylor]: Taking taylor expansion of (pow x 4) in y 5.580 * [taylor]: Taking taylor expansion of x in y 5.580 * [backup-simplify]: Simplify x into x 5.580 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.580 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 5.581 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 5.581 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow y 2))) in y 5.581 * [taylor]: Taking taylor expansion of 4 in y 5.581 * [backup-simplify]: Simplify 4 into 4 5.581 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.581 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.581 * [taylor]: Taking taylor expansion of y in y 5.581 * [backup-simplify]: Simplify 0 into 0 5.581 * [backup-simplify]: Simplify 1 into 1 5.581 * [backup-simplify]: Simplify (* 1 1) into 1 5.581 * [backup-simplify]: Simplify (/ 1 1) into 1 5.581 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 5.581 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.581 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.581 * [taylor]: Taking taylor expansion of x in y 5.581 * [backup-simplify]: Simplify x into x 5.581 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.581 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.581 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 5.581 * [taylor]: Taking taylor expansion of 2 in y 5.582 * [backup-simplify]: Simplify 2 into 2 5.582 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.582 * [taylor]: Taking taylor expansion of y in y 5.582 * [backup-simplify]: Simplify 0 into 0 5.582 * [backup-simplify]: Simplify 1 into 1 5.582 * [backup-simplify]: Simplify (/ 1 1) into 1 5.582 * [backup-simplify]: Simplify (* 4 1) into 4 5.582 * [backup-simplify]: Simplify (- 4) into -4 5.583 * [backup-simplify]: Simplify (+ 0 -4) into -4 5.583 * [backup-simplify]: Simplify (* 2 1) into 2 5.583 * [backup-simplify]: Simplify (- 2) into -2 5.583 * [backup-simplify]: Simplify (+ 0 -2) into -2 5.584 * [backup-simplify]: Simplify (/ -4 -2) into 2 5.584 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (* 4 (/ 1 (pow y 2)))) (- (/ 1 (pow x 2)) (* 2 (/ 1 y)))) in x 5.584 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (* 4 (/ 1 (pow y 2)))) in x 5.584 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 5.584 * [taylor]: Taking taylor expansion of (pow x 4) in x 5.584 * [taylor]: Taking taylor expansion of x in x 5.584 * [backup-simplify]: Simplify 0 into 0 5.584 * [backup-simplify]: Simplify 1 into 1 5.584 * [backup-simplify]: Simplify (* 1 1) into 1 5.584 * [backup-simplify]: Simplify (* 1 1) into 1 5.584 * [backup-simplify]: Simplify (/ 1 1) into 1 5.584 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow y 2))) in x 5.585 * [taylor]: Taking taylor expansion of 4 in x 5.585 * [backup-simplify]: Simplify 4 into 4 5.585 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.585 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.585 * [taylor]: Taking taylor expansion of y in x 5.585 * [backup-simplify]: Simplify y into y 5.585 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.585 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.585 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 5.585 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.585 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.585 * [taylor]: Taking taylor expansion of x in x 5.585 * [backup-simplify]: Simplify 0 into 0 5.585 * [backup-simplify]: Simplify 1 into 1 5.585 * [backup-simplify]: Simplify (* 1 1) into 1 5.585 * [backup-simplify]: Simplify (/ 1 1) into 1 5.585 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 5.585 * [taylor]: Taking taylor expansion of 2 in x 5.585 * [backup-simplify]: Simplify 2 into 2 5.585 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.585 * [taylor]: Taking taylor expansion of y in x 5.585 * [backup-simplify]: Simplify y into y 5.585 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.586 * [backup-simplify]: Simplify (+ 1 0) into 1 5.586 * [backup-simplify]: Simplify (+ 1 0) into 1 5.586 * [backup-simplify]: Simplify (/ 1 1) into 1 5.586 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (* 4 (/ 1 (pow y 2)))) (- (/ 1 (pow x 2)) (* 2 (/ 1 y)))) in x 5.586 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (* 4 (/ 1 (pow y 2)))) in x 5.586 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 5.586 * [taylor]: Taking taylor expansion of (pow x 4) in x 5.586 * [taylor]: Taking taylor expansion of x in x 5.586 * [backup-simplify]: Simplify 0 into 0 5.586 * [backup-simplify]: Simplify 1 into 1 5.587 * [backup-simplify]: Simplify (* 1 1) into 1 5.587 * [backup-simplify]: Simplify (* 1 1) into 1 5.587 * [backup-simplify]: Simplify (/ 1 1) into 1 5.587 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow y 2))) in x 5.587 * [taylor]: Taking taylor expansion of 4 in x 5.587 * [backup-simplify]: Simplify 4 into 4 5.587 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.587 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.587 * [taylor]: Taking taylor expansion of y in x 5.587 * [backup-simplify]: Simplify y into y 5.587 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.587 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.587 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 5.587 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.587 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.587 * [taylor]: Taking taylor expansion of x in x 5.587 * [backup-simplify]: Simplify 0 into 0 5.587 * [backup-simplify]: Simplify 1 into 1 5.588 * [backup-simplify]: Simplify (* 1 1) into 1 5.588 * [backup-simplify]: Simplify (/ 1 1) into 1 5.588 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 5.588 * [taylor]: Taking taylor expansion of 2 in x 5.588 * [backup-simplify]: Simplify 2 into 2 5.588 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.588 * [taylor]: Taking taylor expansion of y in x 5.588 * [backup-simplify]: Simplify y into y 5.588 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.588 * [backup-simplify]: Simplify (+ 1 0) into 1 5.589 * [backup-simplify]: Simplify (+ 1 0) into 1 5.589 * [backup-simplify]: Simplify (/ 1 1) into 1 5.589 * [taylor]: Taking taylor expansion of 1 in y 5.589 * [backup-simplify]: Simplify 1 into 1 5.589 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.590 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.590 * [backup-simplify]: Simplify (+ 0 0) into 0 5.591 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.592 * [backup-simplify]: Simplify (+ 0 0) into 0 5.592 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 5.592 * [taylor]: Taking taylor expansion of 0 in y 5.592 * [backup-simplify]: Simplify 0 into 0 5.592 * [backup-simplify]: Simplify 1 into 1 5.593 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.593 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.594 * [backup-simplify]: Simplify (+ 0 0) into 0 5.594 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.595 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 5.595 * [backup-simplify]: Simplify (- (/ 2 y)) into (- (* 2 (/ 1 y))) 5.595 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 y)))) into (- (* 2 (/ 1 y))) 5.599 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ (- (* 2 (/ 1 y))) 1)) (* 0 (/ 0 1)))) into (* 2 (/ 1 y)) 5.599 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 5.599 * [taylor]: Taking taylor expansion of 2 in y 5.599 * [backup-simplify]: Simplify 2 into 2 5.599 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.599 * [taylor]: Taking taylor expansion of y in y 5.599 * [backup-simplify]: Simplify 0 into 0 5.599 * [backup-simplify]: Simplify 1 into 1 5.599 * [backup-simplify]: Simplify (/ 1 1) into 1 5.600 * [backup-simplify]: Simplify (* 2 1) into 2 5.600 * [backup-simplify]: Simplify 2 into 2 5.600 * [backup-simplify]: Simplify 0 into 0 5.600 * [backup-simplify]: Simplify 0 into 0 5.601 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.601 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.602 * [backup-simplify]: Simplify (+ 0 0) into 0 5.603 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.603 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 5.604 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 5.604 * [backup-simplify]: Simplify (- 0) into 0 5.604 * [backup-simplify]: Simplify (+ 0 0) into 0 5.605 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (- (* 2 (/ 1 y))) 1)) (* (* 2 (/ 1 y)) (/ 0 1)))) into 0 5.605 * [taylor]: Taking taylor expansion of 0 in y 5.605 * [backup-simplify]: Simplify 0 into 0 5.606 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.606 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.606 * [backup-simplify]: Simplify 0 into 0 5.606 * [backup-simplify]: Simplify 0 into 0 5.606 * [backup-simplify]: Simplify 0 into 0 5.607 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.607 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.608 * [backup-simplify]: Simplify (* 4 (/ 1 (pow y 2))) into (/ 4 (pow y 2)) 5.608 * [backup-simplify]: Simplify (- (/ 4 (pow y 2))) into (- (* 4 (/ 1 (pow y 2)))) 5.608 * [backup-simplify]: Simplify (+ 0 (- (* 4 (/ 1 (pow y 2))))) into (- (* 4 (/ 1 (pow y 2)))) 5.609 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.610 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.610 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 5.610 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 5.610 * [backup-simplify]: Simplify (- 0) into 0 5.611 * [backup-simplify]: Simplify (+ 0 0) into 0 5.612 * [backup-simplify]: Simplify (- (/ (- (* 4 (/ 1 (pow y 2)))) 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* (* 2 (/ 1 y)) (/ (- (* 2 (/ 1 y))) 1)) (* 0 (/ 0 1)))) into 0 5.612 * [taylor]: Taking taylor expansion of 0 in y 5.612 * [backup-simplify]: Simplify 0 into 0 5.612 * [backup-simplify]: Simplify 0 into 0 5.612 * [backup-simplify]: Simplify (+ (* 2 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) (* 2 y)) 5.613 * [backup-simplify]: Simplify (/ (- (pow (/ 1 (- x)) 4) (* 4 (* (/ 1 (- y)) (/ 1 (- y))))) (- (* (/ 1 (- x)) (/ 1 (- x))) (* 2 (/ 1 (- y))))) into (/ (- (/ 1 (pow x 4)) (* 4 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 2 (/ 1 y)))) 5.613 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (* 4 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 2 (/ 1 y)))) in (x y) around 0 5.613 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (* 4 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 2 (/ 1 y)))) in y 5.613 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (* 4 (/ 1 (pow y 2)))) in y 5.613 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 5.613 * [taylor]: Taking taylor expansion of (pow x 4) in y 5.613 * [taylor]: Taking taylor expansion of x in y 5.613 * [backup-simplify]: Simplify x into x 5.613 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.613 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 5.613 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 5.613 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow y 2))) in y 5.613 * [taylor]: Taking taylor expansion of 4 in y 5.613 * [backup-simplify]: Simplify 4 into 4 5.613 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.613 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.613 * [taylor]: Taking taylor expansion of y in y 5.613 * [backup-simplify]: Simplify 0 into 0 5.613 * [backup-simplify]: Simplify 1 into 1 5.614 * [backup-simplify]: Simplify (* 1 1) into 1 5.614 * [backup-simplify]: Simplify (/ 1 1) into 1 5.614 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 5.614 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.614 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.614 * [taylor]: Taking taylor expansion of x in y 5.614 * [backup-simplify]: Simplify x into x 5.614 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.614 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.614 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 5.614 * [taylor]: Taking taylor expansion of 2 in y 5.614 * [backup-simplify]: Simplify 2 into 2 5.614 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.614 * [taylor]: Taking taylor expansion of y in y 5.614 * [backup-simplify]: Simplify 0 into 0 5.614 * [backup-simplify]: Simplify 1 into 1 5.614 * [backup-simplify]: Simplify (/ 1 1) into 1 5.615 * [backup-simplify]: Simplify (* 4 1) into 4 5.615 * [backup-simplify]: Simplify (- 4) into -4 5.615 * [backup-simplify]: Simplify (+ 0 -4) into -4 5.615 * [backup-simplify]: Simplify (* 2 1) into 2 5.616 * [backup-simplify]: Simplify (+ 0 2) into 2 5.616 * [backup-simplify]: Simplify (/ -4 2) into -2 5.616 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (* 4 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 2 (/ 1 y)))) in x 5.616 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (* 4 (/ 1 (pow y 2)))) in x 5.616 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 5.616 * [taylor]: Taking taylor expansion of (pow x 4) in x 5.616 * [taylor]: Taking taylor expansion of x in x 5.616 * [backup-simplify]: Simplify 0 into 0 5.616 * [backup-simplify]: Simplify 1 into 1 5.617 * [backup-simplify]: Simplify (* 1 1) into 1 5.617 * [backup-simplify]: Simplify (* 1 1) into 1 5.617 * [backup-simplify]: Simplify (/ 1 1) into 1 5.617 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow y 2))) in x 5.617 * [taylor]: Taking taylor expansion of 4 in x 5.618 * [backup-simplify]: Simplify 4 into 4 5.618 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.618 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.618 * [taylor]: Taking taylor expansion of y in x 5.618 * [backup-simplify]: Simplify y into y 5.618 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.618 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.618 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 5.618 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.618 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.618 * [taylor]: Taking taylor expansion of x in x 5.618 * [backup-simplify]: Simplify 0 into 0 5.618 * [backup-simplify]: Simplify 1 into 1 5.618 * [backup-simplify]: Simplify (* 1 1) into 1 5.619 * [backup-simplify]: Simplify (/ 1 1) into 1 5.619 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 5.619 * [taylor]: Taking taylor expansion of 2 in x 5.619 * [backup-simplify]: Simplify 2 into 2 5.619 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.619 * [taylor]: Taking taylor expansion of y in x 5.619 * [backup-simplify]: Simplify y into y 5.619 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.619 * [backup-simplify]: Simplify (+ 1 0) into 1 5.620 * [backup-simplify]: Simplify (+ 1 0) into 1 5.620 * [backup-simplify]: Simplify (/ 1 1) into 1 5.620 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 4)) (* 4 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 2 (/ 1 y)))) in x 5.620 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (* 4 (/ 1 (pow y 2)))) in x 5.621 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 5.621 * [taylor]: Taking taylor expansion of (pow x 4) in x 5.621 * [taylor]: Taking taylor expansion of x in x 5.621 * [backup-simplify]: Simplify 0 into 0 5.621 * [backup-simplify]: Simplify 1 into 1 5.621 * [backup-simplify]: Simplify (* 1 1) into 1 5.621 * [backup-simplify]: Simplify (* 1 1) into 1 5.622 * [backup-simplify]: Simplify (/ 1 1) into 1 5.622 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow y 2))) in x 5.622 * [taylor]: Taking taylor expansion of 4 in x 5.622 * [backup-simplify]: Simplify 4 into 4 5.622 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.622 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.622 * [taylor]: Taking taylor expansion of y in x 5.622 * [backup-simplify]: Simplify y into y 5.622 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.622 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.622 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 5.622 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.622 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.622 * [taylor]: Taking taylor expansion of x in x 5.622 * [backup-simplify]: Simplify 0 into 0 5.622 * [backup-simplify]: Simplify 1 into 1 5.623 * [backup-simplify]: Simplify (* 1 1) into 1 5.623 * [backup-simplify]: Simplify (/ 1 1) into 1 5.623 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 5.623 * [taylor]: Taking taylor expansion of 2 in x 5.623 * [backup-simplify]: Simplify 2 into 2 5.623 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.623 * [taylor]: Taking taylor expansion of y in x 5.623 * [backup-simplify]: Simplify y into y 5.623 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.624 * [backup-simplify]: Simplify (+ 1 0) into 1 5.624 * [backup-simplify]: Simplify (+ 1 0) into 1 5.624 * [backup-simplify]: Simplify (/ 1 1) into 1 5.625 * [taylor]: Taking taylor expansion of 1 in y 5.625 * [backup-simplify]: Simplify 1 into 1 5.625 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.626 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.627 * [backup-simplify]: Simplify (+ 0 0) into 0 5.628 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.629 * [backup-simplify]: Simplify (+ 0 0) into 0 5.629 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 5.629 * [taylor]: Taking taylor expansion of 0 in y 5.629 * [backup-simplify]: Simplify 0 into 0 5.629 * [backup-simplify]: Simplify 1 into 1 5.630 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.631 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.632 * [backup-simplify]: Simplify (+ 0 0) into 0 5.633 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.634 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 5.634 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 5.635 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ (* 2 (/ 1 y)) 1)) (* 0 (/ 0 1)))) into (- (* 2 (/ 1 y))) 5.635 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 5.635 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 5.635 * [taylor]: Taking taylor expansion of 2 in y 5.635 * [backup-simplify]: Simplify 2 into 2 5.635 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.635 * [taylor]: Taking taylor expansion of y in y 5.635 * [backup-simplify]: Simplify 0 into 0 5.636 * [backup-simplify]: Simplify 1 into 1 5.636 * [backup-simplify]: Simplify (/ 1 1) into 1 5.636 * [backup-simplify]: Simplify (* 2 1) into 2 5.636 * [backup-simplify]: Simplify (- 2) into -2 5.636 * [backup-simplify]: Simplify -2 into -2 5.636 * [backup-simplify]: Simplify 0 into 0 5.636 * [backup-simplify]: Simplify 0 into 0 5.637 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.638 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.638 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.638 * [backup-simplify]: Simplify (+ 0 0) into 0 5.639 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.639 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.640 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 5.640 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 5.640 * [backup-simplify]: Simplify (+ 0 0) into 0 5.641 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (* 2 (/ 1 y)) 1)) (* (- (* 2 (/ 1 y))) (/ 0 1)))) into 0 5.641 * [taylor]: Taking taylor expansion of 0 in y 5.641 * [backup-simplify]: Simplify 0 into 0 5.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.642 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.642 * [backup-simplify]: Simplify (- 0) into 0 5.642 * [backup-simplify]: Simplify 0 into 0 5.642 * [backup-simplify]: Simplify 0 into 0 5.642 * [backup-simplify]: Simplify 0 into 0 5.643 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.644 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.644 * [backup-simplify]: Simplify (* 4 (/ 1 (pow y 2))) into (/ 4 (pow y 2)) 5.645 * [backup-simplify]: Simplify (- (/ 4 (pow y 2))) into (- (* 4 (/ 1 (pow y 2)))) 5.645 * [backup-simplify]: Simplify (+ 0 (- (* 4 (/ 1 (pow y 2))))) into (- (* 4 (/ 1 (pow y 2)))) 5.645 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.646 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 5.647 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 5.647 * [backup-simplify]: Simplify (+ 0 0) into 0 5.648 * [backup-simplify]: Simplify (- (/ (- (* 4 (/ 1 (pow y 2)))) 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* (- (* 2 (/ 1 y))) (/ (* 2 (/ 1 y)) 1)) (* 0 (/ 0 1)))) into 0 5.648 * [taylor]: Taking taylor expansion of 0 in y 5.648 * [backup-simplify]: Simplify 0 into 0 5.648 * [backup-simplify]: Simplify 0 into 0 5.649 * [backup-simplify]: Simplify (+ (* -2 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) (* 2 y)) 5.649 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 5.649 * [backup-simplify]: Simplify (- (pow x 4) (* 4 (* y y))) into (- (pow x 4) (* 4 (pow y 2))) 5.649 * [approximate]: Taking taylor expansion of (- (pow x 4) (* 4 (pow y 2))) in (x y) around 0 5.649 * [taylor]: Taking taylor expansion of (- (pow x 4) (* 4 (pow y 2))) in y 5.649 * [taylor]: Taking taylor expansion of (pow x 4) in y 5.649 * [taylor]: Taking taylor expansion of x in y 5.649 * [backup-simplify]: Simplify x into x 5.649 * [taylor]: Taking taylor expansion of (* 4 (pow y 2)) in y 5.649 * [taylor]: Taking taylor expansion of 4 in y 5.649 * [backup-simplify]: Simplify 4 into 4 5.649 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.649 * [taylor]: Taking taylor expansion of y in y 5.649 * [backup-simplify]: Simplify 0 into 0 5.649 * [backup-simplify]: Simplify 1 into 1 5.649 * [taylor]: Taking taylor expansion of (- (pow x 4) (* 4 (pow y 2))) in x 5.649 * [taylor]: Taking taylor expansion of (pow x 4) in x 5.649 * [taylor]: Taking taylor expansion of x in x 5.649 * [backup-simplify]: Simplify 0 into 0 5.649 * [backup-simplify]: Simplify 1 into 1 5.649 * [taylor]: Taking taylor expansion of (* 4 (pow y 2)) in x 5.649 * [taylor]: Taking taylor expansion of 4 in x 5.649 * [backup-simplify]: Simplify 4 into 4 5.649 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.649 * [taylor]: Taking taylor expansion of y in x 5.649 * [backup-simplify]: Simplify y into y 5.649 * [taylor]: Taking taylor expansion of (- (pow x 4) (* 4 (pow y 2))) in x 5.649 * [taylor]: Taking taylor expansion of (pow x 4) in x 5.649 * [taylor]: Taking taylor expansion of x in x 5.649 * [backup-simplify]: Simplify 0 into 0 5.649 * [backup-simplify]: Simplify 1 into 1 5.649 * [taylor]: Taking taylor expansion of (* 4 (pow y 2)) in x 5.649 * [taylor]: Taking taylor expansion of 4 in x 5.649 * [backup-simplify]: Simplify 4 into 4 5.649 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.649 * [taylor]: Taking taylor expansion of y in x 5.649 * [backup-simplify]: Simplify y into y 5.649 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.650 * [backup-simplify]: Simplify (* 4 (pow y 2)) into (* 4 (pow y 2)) 5.650 * [backup-simplify]: Simplify (- (* 4 (pow y 2))) into (- (* 4 (pow y 2))) 5.650 * [backup-simplify]: Simplify (+ 0 (- (* 4 (pow y 2)))) into (- (* 4 (pow y 2))) 5.650 * [taylor]: Taking taylor expansion of (- (* 4 (pow y 2))) in y 5.650 * [taylor]: Taking taylor expansion of (* 4 (pow y 2)) in y 5.650 * [taylor]: Taking taylor expansion of 4 in y 5.650 * [backup-simplify]: Simplify 4 into 4 5.650 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.650 * [taylor]: Taking taylor expansion of y in y 5.650 * [backup-simplify]: Simplify 0 into 0 5.650 * [backup-simplify]: Simplify 1 into 1 5.650 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.650 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (pow y 2))) into 0 5.651 * [backup-simplify]: Simplify (- 0) into 0 5.651 * [backup-simplify]: Simplify (+ 0 0) into 0 5.651 * [taylor]: Taking taylor expansion of 0 in y 5.651 * [backup-simplify]: Simplify 0 into 0 5.651 * [backup-simplify]: Simplify 0 into 0 5.651 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 5.652 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 5.652 * [backup-simplify]: Simplify (- 0) into 0 5.652 * [backup-simplify]: Simplify (+ 0 0) into 0 5.652 * [taylor]: Taking taylor expansion of 0 in y 5.652 * [backup-simplify]: Simplify 0 into 0 5.652 * [backup-simplify]: Simplify 0 into 0 5.652 * [backup-simplify]: Simplify 0 into 0 5.653 * [backup-simplify]: Simplify (* 1 1) into 1 5.653 * [backup-simplify]: Simplify (* 4 1) into 4 5.653 * [backup-simplify]: Simplify (- 4) into -4 5.653 * [backup-simplify]: Simplify -4 into -4 5.654 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 5.654 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 5.655 * [backup-simplify]: Simplify (- 0) into 0 5.655 * [backup-simplify]: Simplify (+ 0 0) into 0 5.655 * [taylor]: Taking taylor expansion of 0 in y 5.655 * [backup-simplify]: Simplify 0 into 0 5.655 * [backup-simplify]: Simplify 0 into 0 5.655 * [backup-simplify]: Simplify 0 into 0 5.655 * [backup-simplify]: Simplify 0 into 0 5.655 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.656 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 5.656 * [backup-simplify]: Simplify (- 0) into 0 5.656 * [backup-simplify]: Simplify 0 into 0 5.656 * [backup-simplify]: Simplify (* 1 1) into 1 5.657 * [backup-simplify]: Simplify (* 1 1) into 1 5.657 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 5.658 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 5.659 * [backup-simplify]: Simplify (- 0) into 0 5.659 * [backup-simplify]: Simplify (+ 1 0) into 1 5.659 * [taylor]: Taking taylor expansion of 1 in y 5.659 * [backup-simplify]: Simplify 1 into 1 5.659 * [backup-simplify]: Simplify 1 into 1 5.659 * [backup-simplify]: Simplify 0 into 0 5.659 * [backup-simplify]: Simplify 0 into 0 5.659 * [backup-simplify]: Simplify 0 into 0 5.660 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.660 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0 5.660 * [backup-simplify]: Simplify (- 0) into 0 5.660 * [backup-simplify]: Simplify 0 into 0 5.661 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.661 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.662 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))))) into 0 5.663 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))))) into 0 5.664 * [backup-simplify]: Simplify (- 0) into 0 5.664 * [backup-simplify]: Simplify (+ 0 0) into 0 5.664 * [taylor]: Taking taylor expansion of 0 in y 5.664 * [backup-simplify]: Simplify 0 into 0 5.664 * [backup-simplify]: Simplify 0 into 0 5.664 * [backup-simplify]: Simplify 0 into 0 5.665 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 4)) (* -4 (pow (* y 1) 2))) into (- (pow x 4) (* 4 (pow y 2))) 5.665 * [backup-simplify]: Simplify (- (pow (/ 1 x) 4) (* 4 (* (/ 1 y) (/ 1 y)))) into (- (/ 1 (pow x 4)) (* 4 (/ 1 (pow y 2)))) 5.665 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 4)) (* 4 (/ 1 (pow y 2)))) in (x y) around 0 5.665 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (* 4 (/ 1 (pow y 2)))) in y 5.665 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 5.665 * [taylor]: Taking taylor expansion of (pow x 4) in y 5.665 * [taylor]: Taking taylor expansion of x in y 5.665 * [backup-simplify]: Simplify x into x 5.665 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.665 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 5.666 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 5.666 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow y 2))) in y 5.666 * [taylor]: Taking taylor expansion of 4 in y 5.666 * [backup-simplify]: Simplify 4 into 4 5.666 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.666 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.666 * [taylor]: Taking taylor expansion of y in y 5.666 * [backup-simplify]: Simplify 0 into 0 5.666 * [backup-simplify]: Simplify 1 into 1 5.666 * [backup-simplify]: Simplify (* 1 1) into 1 5.666 * [backup-simplify]: Simplify (/ 1 1) into 1 5.667 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (* 4 (/ 1 (pow y 2)))) in x 5.667 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 5.667 * [taylor]: Taking taylor expansion of (pow x 4) in x 5.667 * [taylor]: Taking taylor expansion of x in x 5.667 * [backup-simplify]: Simplify 0 into 0 5.667 * [backup-simplify]: Simplify 1 into 1 5.667 * [backup-simplify]: Simplify (* 1 1) into 1 5.667 * [backup-simplify]: Simplify (* 1 1) into 1 5.668 * [backup-simplify]: Simplify (/ 1 1) into 1 5.668 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow y 2))) in x 5.668 * [taylor]: Taking taylor expansion of 4 in x 5.668 * [backup-simplify]: Simplify 4 into 4 5.668 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.668 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.668 * [taylor]: Taking taylor expansion of y in x 5.668 * [backup-simplify]: Simplify y into y 5.668 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.668 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.668 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (* 4 (/ 1 (pow y 2)))) in x 5.668 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 5.668 * [taylor]: Taking taylor expansion of (pow x 4) in x 5.668 * [taylor]: Taking taylor expansion of x in x 5.668 * [backup-simplify]: Simplify 0 into 0 5.668 * [backup-simplify]: Simplify 1 into 1 5.669 * [backup-simplify]: Simplify (* 1 1) into 1 5.669 * [backup-simplify]: Simplify (* 1 1) into 1 5.669 * [backup-simplify]: Simplify (/ 1 1) into 1 5.669 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow y 2))) in x 5.670 * [taylor]: Taking taylor expansion of 4 in x 5.670 * [backup-simplify]: Simplify 4 into 4 5.670 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.670 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.670 * [taylor]: Taking taylor expansion of y in x 5.670 * [backup-simplify]: Simplify y into y 5.670 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.670 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.670 * [backup-simplify]: Simplify (+ 1 0) into 1 5.670 * [taylor]: Taking taylor expansion of 1 in y 5.670 * [backup-simplify]: Simplify 1 into 1 5.671 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.672 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.673 * [backup-simplify]: Simplify (+ 0 0) into 0 5.673 * [taylor]: Taking taylor expansion of 0 in y 5.673 * [backup-simplify]: Simplify 0 into 0 5.674 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.675 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.676 * [backup-simplify]: Simplify (+ 0 0) into 0 5.676 * [taylor]: Taking taylor expansion of 0 in y 5.676 * [backup-simplify]: Simplify 0 into 0 5.676 * [backup-simplify]: Simplify 1 into 1 5.676 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.677 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.678 * [backup-simplify]: Simplify (+ 0 0) into 0 5.678 * [taylor]: Taking taylor expansion of 0 in y 5.678 * [backup-simplify]: Simplify 0 into 0 5.678 * [backup-simplify]: Simplify 0 into 0 5.678 * [backup-simplify]: Simplify 0 into 0 5.679 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.679 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.680 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.680 * [backup-simplify]: Simplify (* 4 (/ 1 (pow y 2))) into (/ 4 (pow y 2)) 5.680 * [backup-simplify]: Simplify (- (/ 4 (pow y 2))) into (- (* 4 (/ 1 (pow y 2)))) 5.680 * [backup-simplify]: Simplify (+ 0 (- (* 4 (/ 1 (pow y 2))))) into (- (* 4 (/ 1 (pow y 2)))) 5.680 * [taylor]: Taking taylor expansion of (- (* 4 (/ 1 (pow y 2)))) in y 5.680 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow y 2))) in y 5.680 * [taylor]: Taking taylor expansion of 4 in y 5.680 * [backup-simplify]: Simplify 4 into 4 5.680 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.680 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.680 * [taylor]: Taking taylor expansion of y in y 5.680 * [backup-simplify]: Simplify 0 into 0 5.680 * [backup-simplify]: Simplify 1 into 1 5.681 * [backup-simplify]: Simplify (* 1 1) into 1 5.681 * [backup-simplify]: Simplify (/ 1 1) into 1 5.681 * [backup-simplify]: Simplify (* 4 1) into 4 5.682 * [backup-simplify]: Simplify (- 4) into -4 5.682 * [backup-simplify]: Simplify -4 into -4 5.682 * [backup-simplify]: Simplify 0 into 0 5.682 * [backup-simplify]: Simplify 0 into 0 5.682 * [backup-simplify]: Simplify 0 into 0 5.683 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.683 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.684 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.684 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.684 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 5.685 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow y 2)))) into 0 5.685 * [backup-simplify]: Simplify (- 0) into 0 5.685 * [backup-simplify]: Simplify (+ 0 0) into 0 5.685 * [taylor]: Taking taylor expansion of 0 in y 5.685 * [backup-simplify]: Simplify 0 into 0 5.685 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.686 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.686 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 5.687 * [backup-simplify]: Simplify (- 0) into 0 5.687 * [backup-simplify]: Simplify 0 into 0 5.687 * [backup-simplify]: Simplify 0 into 0 5.687 * [backup-simplify]: Simplify 0 into 0 5.687 * [backup-simplify]: Simplify (+ (* -4 (pow (* (/ 1 (/ 1 y)) 1) 2)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 4))) into (- (pow x 4) (* 4 (pow y 2))) 5.687 * [backup-simplify]: Simplify (- (pow (/ 1 (- x)) 4) (* 4 (* (/ 1 (- y)) (/ 1 (- y))))) into (- (/ 1 (pow x 4)) (* 4 (/ 1 (pow y 2)))) 5.687 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 4)) (* 4 (/ 1 (pow y 2)))) in (x y) around 0 5.687 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (* 4 (/ 1 (pow y 2)))) in y 5.687 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y 5.687 * [taylor]: Taking taylor expansion of (pow x 4) in y 5.687 * [taylor]: Taking taylor expansion of x in y 5.687 * [backup-simplify]: Simplify x into x 5.687 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.687 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4) 5.688 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4)) 5.688 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow y 2))) in y 5.688 * [taylor]: Taking taylor expansion of 4 in y 5.688 * [backup-simplify]: Simplify 4 into 4 5.688 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.688 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.688 * [taylor]: Taking taylor expansion of y in y 5.688 * [backup-simplify]: Simplify 0 into 0 5.688 * [backup-simplify]: Simplify 1 into 1 5.688 * [backup-simplify]: Simplify (* 1 1) into 1 5.688 * [backup-simplify]: Simplify (/ 1 1) into 1 5.688 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (* 4 (/ 1 (pow y 2)))) in x 5.688 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 5.688 * [taylor]: Taking taylor expansion of (pow x 4) in x 5.688 * [taylor]: Taking taylor expansion of x in x 5.688 * [backup-simplify]: Simplify 0 into 0 5.688 * [backup-simplify]: Simplify 1 into 1 5.689 * [backup-simplify]: Simplify (* 1 1) into 1 5.689 * [backup-simplify]: Simplify (* 1 1) into 1 5.689 * [backup-simplify]: Simplify (/ 1 1) into 1 5.689 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow y 2))) in x 5.689 * [taylor]: Taking taylor expansion of 4 in x 5.689 * [backup-simplify]: Simplify 4 into 4 5.689 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.689 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.689 * [taylor]: Taking taylor expansion of y in x 5.689 * [backup-simplify]: Simplify y into y 5.689 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.689 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.689 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4)) (* 4 (/ 1 (pow y 2)))) in x 5.689 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 5.689 * [taylor]: Taking taylor expansion of (pow x 4) in x 5.689 * [taylor]: Taking taylor expansion of x in x 5.689 * [backup-simplify]: Simplify 0 into 0 5.689 * [backup-simplify]: Simplify 1 into 1 5.690 * [backup-simplify]: Simplify (* 1 1) into 1 5.690 * [backup-simplify]: Simplify (* 1 1) into 1 5.690 * [backup-simplify]: Simplify (/ 1 1) into 1 5.690 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow y 2))) in x 5.690 * [taylor]: Taking taylor expansion of 4 in x 5.690 * [backup-simplify]: Simplify 4 into 4 5.690 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.690 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.690 * [taylor]: Taking taylor expansion of y in x 5.690 * [backup-simplify]: Simplify y into y 5.690 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.690 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.691 * [backup-simplify]: Simplify (+ 1 0) into 1 5.691 * [taylor]: Taking taylor expansion of 1 in y 5.691 * [backup-simplify]: Simplify 1 into 1 5.691 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.692 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.692 * [backup-simplify]: Simplify (+ 0 0) into 0 5.692 * [taylor]: Taking taylor expansion of 0 in y 5.692 * [backup-simplify]: Simplify 0 into 0 5.693 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.693 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.694 * [backup-simplify]: Simplify (+ 0 0) into 0 5.694 * [taylor]: Taking taylor expansion of 0 in y 5.694 * [backup-simplify]: Simplify 0 into 0 5.694 * [backup-simplify]: Simplify 1 into 1 5.695 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.695 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.696 * [backup-simplify]: Simplify (+ 0 0) into 0 5.696 * [taylor]: Taking taylor expansion of 0 in y 5.696 * [backup-simplify]: Simplify 0 into 0 5.696 * [backup-simplify]: Simplify 0 into 0 5.696 * [backup-simplify]: Simplify 0 into 0 5.697 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.698 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.698 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.698 * [backup-simplify]: Simplify (* 4 (/ 1 (pow y 2))) into (/ 4 (pow y 2)) 5.699 * [backup-simplify]: Simplify (- (/ 4 (pow y 2))) into (- (* 4 (/ 1 (pow y 2)))) 5.699 * [backup-simplify]: Simplify (+ 0 (- (* 4 (/ 1 (pow y 2))))) into (- (* 4 (/ 1 (pow y 2)))) 5.699 * [taylor]: Taking taylor expansion of (- (* 4 (/ 1 (pow y 2)))) in y 5.699 * [taylor]: Taking taylor expansion of (* 4 (/ 1 (pow y 2))) in y 5.699 * [taylor]: Taking taylor expansion of 4 in y 5.699 * [backup-simplify]: Simplify 4 into 4 5.699 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.699 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.699 * [taylor]: Taking taylor expansion of y in y 5.699 * [backup-simplify]: Simplify 0 into 0 5.699 * [backup-simplify]: Simplify 1 into 1 5.699 * [backup-simplify]: Simplify (* 1 1) into 1 5.699 * [backup-simplify]: Simplify (/ 1 1) into 1 5.700 * [backup-simplify]: Simplify (* 4 1) into 4 5.700 * [backup-simplify]: Simplify (- 4) into -4 5.700 * [backup-simplify]: Simplify -4 into -4 5.700 * [backup-simplify]: Simplify 0 into 0 5.700 * [backup-simplify]: Simplify 0 into 0 5.700 * [backup-simplify]: Simplify 0 into 0 5.701 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.704 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.705 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.705 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 5.706 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 (/ 1 (pow y 2)))) into 0 5.706 * [backup-simplify]: Simplify (- 0) into 0 5.706 * [backup-simplify]: Simplify (+ 0 0) into 0 5.706 * [taylor]: Taking taylor expansion of 0 in y 5.706 * [backup-simplify]: Simplify 0 into 0 5.707 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.707 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.708 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 5.708 * [backup-simplify]: Simplify (- 0) into 0 5.708 * [backup-simplify]: Simplify 0 into 0 5.708 * [backup-simplify]: Simplify 0 into 0 5.708 * [backup-simplify]: Simplify 0 into 0 5.708 * [backup-simplify]: Simplify (+ (* -4 (pow (* (/ 1 (/ 1 (- y))) 1) 2)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 4))) into (- (pow x 4) (* 4 (pow y 2))) 5.708 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 5.709 * [backup-simplify]: Simplify (* 4 (* y y)) into (* 4 (pow y 2)) 5.709 * [approximate]: Taking taylor expansion of (* 4 (pow y 2)) in (y) around 0 5.709 * [taylor]: Taking taylor expansion of (* 4 (pow y 2)) in y 5.709 * [taylor]: Taking taylor expansion of 4 in y 5.709 * [backup-simplify]: Simplify 4 into 4 5.709 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.709 * [taylor]: Taking taylor expansion of y in y 5.709 * [backup-simplify]: Simplify 0 into 0 5.709 * [backup-simplify]: Simplify 1 into 1 5.709 * [taylor]: Taking taylor expansion of (* 4 (pow y 2)) in y 5.709 * [taylor]: Taking taylor expansion of 4 in y 5.709 * [backup-simplify]: Simplify 4 into 4 5.709 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.709 * [taylor]: Taking taylor expansion of y in y 5.709 * [backup-simplify]: Simplify 0 into 0 5.709 * [backup-simplify]: Simplify 1 into 1 5.709 * [backup-simplify]: Simplify (* 1 1) into 1 5.709 * [backup-simplify]: Simplify (* 4 1) into 4 5.709 * [backup-simplify]: Simplify 4 into 4 5.710 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.710 * [backup-simplify]: Simplify (+ (* 4 0) (* 0 1)) into 0 5.710 * [backup-simplify]: Simplify 0 into 0 5.711 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.712 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0 5.712 * [backup-simplify]: Simplify 0 into 0 5.712 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.713 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.713 * [backup-simplify]: Simplify 0 into 0 5.714 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.714 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.714 * [backup-simplify]: Simplify 0 into 0 5.715 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.716 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.716 * [backup-simplify]: Simplify 0 into 0 5.717 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.718 * [backup-simplify]: Simplify (+ (* 4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.718 * [backup-simplify]: Simplify 0 into 0 5.718 * [backup-simplify]: Simplify (* 4 (pow y 2)) into (* 4 (pow y 2)) 5.718 * [backup-simplify]: Simplify (* 4 (* (/ 1 y) (/ 1 y))) into (/ 4 (pow y 2)) 5.718 * [approximate]: Taking taylor expansion of (/ 4 (pow y 2)) in (y) around 0 5.718 * [taylor]: Taking taylor expansion of (/ 4 (pow y 2)) in y 5.718 * [taylor]: Taking taylor expansion of 4 in y 5.718 * [backup-simplify]: Simplify 4 into 4 5.718 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.718 * [taylor]: Taking taylor expansion of y in y 5.718 * [backup-simplify]: Simplify 0 into 0 5.718 * [backup-simplify]: Simplify 1 into 1 5.718 * [backup-simplify]: Simplify (* 1 1) into 1 5.719 * [backup-simplify]: Simplify (/ 4 1) into 4 5.719 * [taylor]: Taking taylor expansion of (/ 4 (pow y 2)) in y 5.719 * [taylor]: Taking taylor expansion of 4 in y 5.719 * [backup-simplify]: Simplify 4 into 4 5.719 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.719 * [taylor]: Taking taylor expansion of y in y 5.719 * [backup-simplify]: Simplify 0 into 0 5.719 * [backup-simplify]: Simplify 1 into 1 5.719 * [backup-simplify]: Simplify (* 1 1) into 1 5.719 * [backup-simplify]: Simplify (/ 4 1) into 4 5.719 * [backup-simplify]: Simplify 4 into 4 5.720 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.721 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)))) into 0 5.721 * [backup-simplify]: Simplify 0 into 0 5.722 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.723 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.723 * [backup-simplify]: Simplify 0 into 0 5.724 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.724 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.725 * [backup-simplify]: Simplify 0 into 0 5.726 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.727 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.727 * [backup-simplify]: Simplify 0 into 0 5.728 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.729 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.729 * [backup-simplify]: Simplify 0 into 0 5.730 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.732 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.732 * [backup-simplify]: Simplify 0 into 0 5.732 * [backup-simplify]: Simplify (* 4 (pow (/ 1 (/ 1 y)) 2)) into (* 4 (pow y 2)) 5.732 * [backup-simplify]: Simplify (* 4 (* (/ 1 (- y)) (/ 1 (- y)))) into (/ 4 (pow y 2)) 5.732 * [approximate]: Taking taylor expansion of (/ 4 (pow y 2)) in (y) around 0 5.732 * [taylor]: Taking taylor expansion of (/ 4 (pow y 2)) in y 5.732 * [taylor]: Taking taylor expansion of 4 in y 5.732 * [backup-simplify]: Simplify 4 into 4 5.732 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.732 * [taylor]: Taking taylor expansion of y in y 5.732 * [backup-simplify]: Simplify 0 into 0 5.732 * [backup-simplify]: Simplify 1 into 1 5.733 * [backup-simplify]: Simplify (* 1 1) into 1 5.733 * [backup-simplify]: Simplify (/ 4 1) into 4 5.733 * [taylor]: Taking taylor expansion of (/ 4 (pow y 2)) in y 5.733 * [taylor]: Taking taylor expansion of 4 in y 5.733 * [backup-simplify]: Simplify 4 into 4 5.733 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.733 * [taylor]: Taking taylor expansion of y in y 5.733 * [backup-simplify]: Simplify 0 into 0 5.733 * [backup-simplify]: Simplify 1 into 1 5.734 * [backup-simplify]: Simplify (* 1 1) into 1 5.734 * [backup-simplify]: Simplify (/ 4 1) into 4 5.734 * [backup-simplify]: Simplify 4 into 4 5.735 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.736 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)))) into 0 5.736 * [backup-simplify]: Simplify 0 into 0 5.737 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.738 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.738 * [backup-simplify]: Simplify 0 into 0 5.739 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.740 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.740 * [backup-simplify]: Simplify 0 into 0 5.741 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.742 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.742 * [backup-simplify]: Simplify 0 into 0 5.743 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.744 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.744 * [backup-simplify]: Simplify 0 into 0 5.745 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 5.746 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.747 * [backup-simplify]: Simplify 0 into 0 5.747 * [backup-simplify]: Simplify (* 4 (pow (/ 1 (/ 1 (- y))) 2)) into (* 4 (pow y 2)) 5.747 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 5.747 * [backup-simplify]: Simplify (- (* x x) (* 2 y)) into (- (pow x 2) (* 2 y)) 5.747 * [approximate]: Taking taylor expansion of (- (pow x 2) (* 2 y)) in (x y) around 0 5.747 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 2 y)) in y 5.747 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.747 * [taylor]: Taking taylor expansion of x in y 5.747 * [backup-simplify]: Simplify x into x 5.747 * [taylor]: Taking taylor expansion of (* 2 y) in y 5.747 * [taylor]: Taking taylor expansion of 2 in y 5.747 * [backup-simplify]: Simplify 2 into 2 5.747 * [taylor]: Taking taylor expansion of y in y 5.747 * [backup-simplify]: Simplify 0 into 0 5.747 * [backup-simplify]: Simplify 1 into 1 5.747 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 2 y)) in x 5.747 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.748 * [taylor]: Taking taylor expansion of x in x 5.748 * [backup-simplify]: Simplify 0 into 0 5.748 * [backup-simplify]: Simplify 1 into 1 5.748 * [taylor]: Taking taylor expansion of (* 2 y) in x 5.748 * [taylor]: Taking taylor expansion of 2 in x 5.748 * [backup-simplify]: Simplify 2 into 2 5.748 * [taylor]: Taking taylor expansion of y in x 5.748 * [backup-simplify]: Simplify y into y 5.748 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 2 y)) in x 5.748 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.748 * [taylor]: Taking taylor expansion of x in x 5.748 * [backup-simplify]: Simplify 0 into 0 5.748 * [backup-simplify]: Simplify 1 into 1 5.748 * [taylor]: Taking taylor expansion of (* 2 y) in x 5.748 * [taylor]: Taking taylor expansion of 2 in x 5.748 * [backup-simplify]: Simplify 2 into 2 5.748 * [taylor]: Taking taylor expansion of y in x 5.748 * [backup-simplify]: Simplify y into y 5.748 * [backup-simplify]: Simplify (* 2 y) into (* 2 y) 5.748 * [backup-simplify]: Simplify (- (* 2 y)) into (- (* 2 y)) 5.748 * [backup-simplify]: Simplify (+ 0 (- (* 2 y))) into (- (* 2 y)) 5.748 * [taylor]: Taking taylor expansion of (- (* 2 y)) in y 5.748 * [taylor]: Taking taylor expansion of (* 2 y) in y 5.748 * [taylor]: Taking taylor expansion of 2 in y 5.748 * [backup-simplify]: Simplify 2 into 2 5.748 * [taylor]: Taking taylor expansion of y in y 5.748 * [backup-simplify]: Simplify 0 into 0 5.748 * [backup-simplify]: Simplify 1 into 1 5.749 * [backup-simplify]: Simplify (* 2 0) into 0 5.749 * [backup-simplify]: Simplify (- 0) into 0 5.749 * [backup-simplify]: Simplify 0 into 0 5.750 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 y)) into 0 5.750 * [backup-simplify]: Simplify (- 0) into 0 5.750 * [backup-simplify]: Simplify (+ 0 0) into 0 5.750 * [taylor]: Taking taylor expansion of 0 in y 5.750 * [backup-simplify]: Simplify 0 into 0 5.751 * [backup-simplify]: Simplify 0 into 0 5.751 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 5.752 * [backup-simplify]: Simplify (- 2) into -2 5.752 * [backup-simplify]: Simplify -2 into -2 5.752 * [backup-simplify]: Simplify (* 1 1) into 1 5.753 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 y))) into 0 5.753 * [backup-simplify]: Simplify (- 0) into 0 5.753 * [backup-simplify]: Simplify (+ 1 0) into 1 5.753 * [taylor]: Taking taylor expansion of 1 in y 5.754 * [backup-simplify]: Simplify 1 into 1 5.754 * [backup-simplify]: Simplify 1 into 1 5.754 * [backup-simplify]: Simplify 0 into 0 5.755 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 5.755 * [backup-simplify]: Simplify (- 0) into 0 5.755 * [backup-simplify]: Simplify 0 into 0 5.756 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.757 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 5.757 * [backup-simplify]: Simplify (- 0) into 0 5.757 * [backup-simplify]: Simplify (+ 0 0) into 0 5.757 * [taylor]: Taking taylor expansion of 0 in y 5.757 * [backup-simplify]: Simplify 0 into 0 5.757 * [backup-simplify]: Simplify 0 into 0 5.757 * [backup-simplify]: Simplify 0 into 0 5.758 * [backup-simplify]: Simplify 0 into 0 5.759 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 5.759 * [backup-simplify]: Simplify (- 0) into 0 5.759 * [backup-simplify]: Simplify 0 into 0 5.759 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* -2 (* y 1))) into (- (pow x 2) (* 2 y)) 5.759 * [backup-simplify]: Simplify (- (* (/ 1 x) (/ 1 x)) (* 2 (/ 1 y))) into (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) 5.760 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 5.760 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 5.760 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.760 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.760 * [taylor]: Taking taylor expansion of x in y 5.760 * [backup-simplify]: Simplify x into x 5.760 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.760 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.760 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 5.760 * [taylor]: Taking taylor expansion of 2 in y 5.760 * [backup-simplify]: Simplify 2 into 2 5.760 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.760 * [taylor]: Taking taylor expansion of y in y 5.760 * [backup-simplify]: Simplify 0 into 0 5.760 * [backup-simplify]: Simplify 1 into 1 5.760 * [backup-simplify]: Simplify (/ 1 1) into 1 5.761 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 5.761 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.761 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.761 * [taylor]: Taking taylor expansion of x in x 5.761 * [backup-simplify]: Simplify 0 into 0 5.761 * [backup-simplify]: Simplify 1 into 1 5.761 * [backup-simplify]: Simplify (* 1 1) into 1 5.761 * [backup-simplify]: Simplify (/ 1 1) into 1 5.761 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 5.761 * [taylor]: Taking taylor expansion of 2 in x 5.761 * [backup-simplify]: Simplify 2 into 2 5.762 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.762 * [taylor]: Taking taylor expansion of y in x 5.762 * [backup-simplify]: Simplify y into y 5.762 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.762 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 5.762 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.762 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.762 * [taylor]: Taking taylor expansion of x in x 5.762 * [backup-simplify]: Simplify 0 into 0 5.762 * [backup-simplify]: Simplify 1 into 1 5.762 * [backup-simplify]: Simplify (* 1 1) into 1 5.763 * [backup-simplify]: Simplify (/ 1 1) into 1 5.763 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 5.763 * [taylor]: Taking taylor expansion of 2 in x 5.763 * [backup-simplify]: Simplify 2 into 2 5.763 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.763 * [taylor]: Taking taylor expansion of y in x 5.763 * [backup-simplify]: Simplify y into y 5.763 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.763 * [backup-simplify]: Simplify (+ 1 0) into 1 5.763 * [taylor]: Taking taylor expansion of 1 in y 5.763 * [backup-simplify]: Simplify 1 into 1 5.764 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.765 * [backup-simplify]: Simplify (+ 0 0) into 0 5.765 * [taylor]: Taking taylor expansion of 0 in y 5.765 * [backup-simplify]: Simplify 0 into 0 5.765 * [backup-simplify]: Simplify 1 into 1 5.766 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.767 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.767 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 5.767 * [backup-simplify]: Simplify (- (/ 2 y)) into (- (* 2 (/ 1 y))) 5.767 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 y)))) into (- (* 2 (/ 1 y))) 5.767 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 5.767 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 5.767 * [taylor]: Taking taylor expansion of 2 in y 5.767 * [backup-simplify]: Simplify 2 into 2 5.767 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.767 * [taylor]: Taking taylor expansion of y in y 5.767 * [backup-simplify]: Simplify 0 into 0 5.767 * [backup-simplify]: Simplify 1 into 1 5.768 * [backup-simplify]: Simplify (/ 1 1) into 1 5.768 * [backup-simplify]: Simplify (* 2 1) into 2 5.768 * [backup-simplify]: Simplify (- 2) into -2 5.768 * [backup-simplify]: Simplify -2 into -2 5.768 * [backup-simplify]: Simplify 0 into 0 5.768 * [backup-simplify]: Simplify 0 into 0 5.769 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.770 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 5.771 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 5.771 * [backup-simplify]: Simplify (- 0) into 0 5.772 * [backup-simplify]: Simplify (+ 0 0) into 0 5.772 * [taylor]: Taking taylor expansion of 0 in y 5.772 * [backup-simplify]: Simplify 0 into 0 5.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.772 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.773 * [backup-simplify]: Simplify (- 0) into 0 5.773 * [backup-simplify]: Simplify 0 into 0 5.773 * [backup-simplify]: Simplify 0 into 0 5.773 * [backup-simplify]: Simplify 0 into 0 5.773 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.774 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 5.775 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 5.775 * [backup-simplify]: Simplify (- 0) into 0 5.775 * [backup-simplify]: Simplify (+ 0 0) into 0 5.775 * [taylor]: Taking taylor expansion of 0 in y 5.775 * [backup-simplify]: Simplify 0 into 0 5.775 * [backup-simplify]: Simplify 0 into 0 5.775 * [backup-simplify]: Simplify (+ (* -2 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (- (pow x 2) (* 2 y)) 5.776 * [backup-simplify]: Simplify (- (* (/ 1 (- x)) (/ 1 (- x))) (* 2 (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) 5.776 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 5.776 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 5.776 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.776 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.776 * [taylor]: Taking taylor expansion of x in y 5.776 * [backup-simplify]: Simplify x into x 5.776 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.776 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.776 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 5.776 * [taylor]: Taking taylor expansion of 2 in y 5.776 * [backup-simplify]: Simplify 2 into 2 5.776 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.776 * [taylor]: Taking taylor expansion of y in y 5.776 * [backup-simplify]: Simplify 0 into 0 5.776 * [backup-simplify]: Simplify 1 into 1 5.776 * [backup-simplify]: Simplify (/ 1 1) into 1 5.776 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 5.776 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.776 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.776 * [taylor]: Taking taylor expansion of x in x 5.776 * [backup-simplify]: Simplify 0 into 0 5.776 * [backup-simplify]: Simplify 1 into 1 5.777 * [backup-simplify]: Simplify (* 1 1) into 1 5.777 * [backup-simplify]: Simplify (/ 1 1) into 1 5.777 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 5.777 * [taylor]: Taking taylor expansion of 2 in x 5.777 * [backup-simplify]: Simplify 2 into 2 5.777 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.777 * [taylor]: Taking taylor expansion of y in x 5.777 * [backup-simplify]: Simplify y into y 5.777 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.777 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 5.777 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.777 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.777 * [taylor]: Taking taylor expansion of x in x 5.777 * [backup-simplify]: Simplify 0 into 0 5.777 * [backup-simplify]: Simplify 1 into 1 5.777 * [backup-simplify]: Simplify (* 1 1) into 1 5.778 * [backup-simplify]: Simplify (/ 1 1) into 1 5.778 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 5.778 * [taylor]: Taking taylor expansion of 2 in x 5.778 * [backup-simplify]: Simplify 2 into 2 5.778 * [taylor]: Taking taylor expansion of (/ 1 y) in x 5.778 * [taylor]: Taking taylor expansion of y in x 5.778 * [backup-simplify]: Simplify y into y 5.778 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 5.778 * [backup-simplify]: Simplify (+ 1 0) into 1 5.778 * [taylor]: Taking taylor expansion of 1 in y 5.778 * [backup-simplify]: Simplify 1 into 1 5.778 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.779 * [backup-simplify]: Simplify (+ 0 0) into 0 5.779 * [taylor]: Taking taylor expansion of 0 in y 5.779 * [backup-simplify]: Simplify 0 into 0 5.779 * [backup-simplify]: Simplify 1 into 1 5.780 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.780 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 5.780 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 5.780 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 5.780 * [taylor]: Taking taylor expansion of 2 in y 5.780 * [backup-simplify]: Simplify 2 into 2 5.780 * [taylor]: Taking taylor expansion of (/ 1 y) in y 5.780 * [taylor]: Taking taylor expansion of y in y 5.780 * [backup-simplify]: Simplify 0 into 0 5.780 * [backup-simplify]: Simplify 1 into 1 5.781 * [backup-simplify]: Simplify (/ 1 1) into 1 5.781 * [backup-simplify]: Simplify (* 2 1) into 2 5.781 * [backup-simplify]: Simplify 2 into 2 5.781 * [backup-simplify]: Simplify 0 into 0 5.781 * [backup-simplify]: Simplify 0 into 0 5.782 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.783 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 5.784 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 5.784 * [backup-simplify]: Simplify (+ 0 0) into 0 5.784 * [taylor]: Taking taylor expansion of 0 in y 5.784 * [backup-simplify]: Simplify 0 into 0 5.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.786 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.786 * [backup-simplify]: Simplify 0 into 0 5.786 * [backup-simplify]: Simplify 0 into 0 5.786 * [backup-simplify]: Simplify 0 into 0 5.787 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.788 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 5.789 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 5.789 * [backup-simplify]: Simplify (+ 0 0) into 0 5.789 * [taylor]: Taking taylor expansion of 0 in y 5.789 * [backup-simplify]: Simplify 0 into 0 5.789 * [backup-simplify]: Simplify 0 into 0 5.790 * [backup-simplify]: Simplify (+ (* 2 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (- (pow x 2) (* 2 y)) 5.790 * * * [progress]: simplifying candidates 5.792 * [simplify]: Simplifying: (- (log (- (pow x 4) (* 4 (* y y)))) (log (- (* x x) (* 2 y)))) (log (/ (- (pow x 4) (* 4 (* y y))) (- (* x x) (* 2 y)))) (exp (/ (- (pow x 4) (* 4 (* y y))) (- (* x x) (* 2 y)))) (/ (* (* (- (pow x 4) (* 4 (* y y))) (- (pow x 4) (* 4 (* y y)))) (- (pow x 4) (* 4 (* y y)))) (* (* (- (* x x) (* 2 y)) (- (* x x) (* 2 y))) (- (* x x) (* 2 y)))) (* (cbrt (/ (- (pow x 4) (* 4 (* y y))) (- (* x x) (* 2 y)))) (cbrt (/ (- (pow x 4) (* 4 (* y y))) (- (* x x) (* 2 y))))) (cbrt (/ (- (pow x 4) (* 4 (* y y))) (- (* x x) (* 2 y)))) (* (* (/ (- (pow x 4) (* 4 (* y y))) (- (* x x) (* 2 y))) (/ (- (pow x 4) (* 4 (* y y))) (- (* x x) (* 2 y)))) (/ (- (pow x 4) (* 4 (* y y))) (- (* x x) (* 2 y)))) (sqrt (/ (- (pow x 4) (* 4 (* y y))) (- (* x x) (* 2 y)))) (sqrt (/ (- (pow x 4) (* 4 (* y y))) (- (* x x) (* 2 y)))) (- (- (pow x 4) (* 4 (* y y)))) (- (- (* x x) (* 2 y))) (/ (pow x 4) (- (* x x) (* 2 y))) (/ (* 4 (* y y)) (- (* x x) (* 2 y))) (/ (* (cbrt (- (pow x 4) (* 4 (* y y)))) (cbrt (- (pow x 4) (* 4 (* y y))))) (* (cbrt (- (* x x) (* 2 y))) (cbrt (- (* x x) (* 2 y))))) (/ (cbrt (- (pow x 4) (* 4 (* y y)))) (cbrt (- (* x x) (* 2 y)))) (/ (* (cbrt (- (pow x 4) (* 4 (* y y)))) (cbrt (- (pow x 4) (* 4 (* y y))))) (sqrt (- (* x x) (* 2 y)))) (/ (cbrt (- (pow x 4) (* 4 (* y y)))) (sqrt (- (* x x) (* 2 y)))) (/ (* (cbrt (- (pow x 4) (* 4 (* y y)))) (cbrt (- (pow x 4) (* 4 (* y y))))) 1) (/ (cbrt (- (pow x 4) (* 4 (* y y)))) (- (* x x) (* 2 y))) (/ (sqrt (- (pow x 4) (* 4 (* y y)))) (* (cbrt (- (* x x) (* 2 y))) (cbrt (- (* x x) (* 2 y))))) (/ (sqrt (- (pow x 4) (* 4 (* y y)))) (cbrt (- (* x x) (* 2 y)))) (/ (sqrt (- (pow x 4) (* 4 (* y y)))) (sqrt (- (* x x) (* 2 y)))) (/ (sqrt (- (pow x 4) (* 4 (* y y)))) (sqrt (- (* x x) (* 2 y)))) (/ (sqrt (- (pow x 4) (* 4 (* y y)))) 1) (/ (sqrt (- (pow x 4) (* 4 (* y y)))) (- (* x x) (* 2 y))) (/ 1 (* (cbrt (- (* x x) (* 2 y))) (cbrt (- (* x x) (* 2 y))))) (/ (- (pow x 4) (* 4 (* y y))) (cbrt (- (* x x) (* 2 y)))) (/ 1 (sqrt (- (* x x) (* 2 y)))) (/ (- (pow x 4) (* 4 (* y y))) (sqrt (- (* x x) (* 2 y)))) (/ 1 1) (/ (- (pow x 4) (* 4 (* y y))) (- (* x x) (* 2 y))) (/ 1 (- (* x x) (* 2 y))) (/ (- (* x x) (* 2 y)) (- (pow x 4) (* 4 (* y y)))) (/ (- (pow x 4) (* 4 (* y y))) (* (cbrt (- (* x x) (* 2 y))) (cbrt (- (* x x) (* 2 y))))) (/ (- (pow x 4) (* 4 (* y y))) (sqrt (- (* x x) (* 2 y)))) (/ (- (pow x 4) (* 4 (* y y))) 1) (/ (- (* x x) (* 2 y)) (cbrt (- (pow x 4) (* 4 (* y y))))) (/ (- (* x x) (* 2 y)) (sqrt (- (pow x 4) (* 4 (* y y))))) (/ (- (* x x) (* 2 y)) (- (pow x 4) (* 4 (* y y)))) (/ (- (pow x 4) (* 4 (* y y))) (- (pow (* x x) 3) (pow (* 2 y) 3))) (/ (- (pow x 4) (* 4 (* y y))) (- (* (* x x) (* x x)) (* (* 2 y) (* 2 y)))) (* (- (* x x) (* 2 y)) (+ (* (pow x 4) (pow x 4)) (+ (* (* 4 (* y y)) (* 4 (* y y))) (* (pow x 4) (* 4 (* y y)))))) (* (- (* x x) (* 2 y)) (+ (pow x 4) (* 4 (* y y)))) (/ (exp (pow x 4)) (exp (* 4 (* y y)))) (log (- (pow x 4) (* 4 (* y y)))) (exp (- (pow x 4) (* 4 (* y y)))) (* (cbrt (- (pow x 4) (* 4 (* y y)))) (cbrt (- (pow x 4) (* 4 (* y y))))) (cbrt (- (pow x 4) (* 4 (* y y)))) (* (* (- (pow x 4) (* 4 (* y y))) (- (pow x 4) (* 4 (* y y)))) (- (pow x 4) (* 4 (* y y)))) (sqrt (- (pow x 4) (* 4 (* y y)))) (sqrt (- (pow x 4) (* 4 (* y y)))) (- (pow (pow x 4) 3) (pow (* 4 (* y y)) 3)) (+ (* (pow x 4) (pow x 4)) (+ (* (* 4 (* y y)) (* 4 (* y y))) (* (pow x 4) (* 4 (* y y))))) (- (* 4 (* y y))) (- (* (pow x 4) (pow x 4)) (* (* 4 (* y y)) (* 4 (* y y)))) (+ (pow x 4) (* 4 (* y y))) (- (* 4 (* y y))) (* 4 (* y y)) (* 4 (* y y)) (+ (log 4) (+ (log y) (log y))) (+ (log 4) (log (* y y))) (log (* 4 (* y y))) (exp (* 4 (* y y))) (* (* (* 4 4) 4) (* (* (* y y) y) (* (* y y) y))) (* (* (* 4 4) 4) (* (* (* y y) (* y y)) (* y y))) (* (cbrt (* 4 (* y y))) (cbrt (* 4 (* y y)))) (cbrt (* 4 (* y y))) (* (* (* 4 (* y y)) (* 4 (* y y))) (* 4 (* y y))) (sqrt (* 4 (* y y))) (sqrt (* 4 (* y y))) (* (sqrt 4) y) (* (sqrt 4) y) (* 4 y) (* (cbrt 4) (* y y)) (* (sqrt 4) (* y y)) (* 4 (* y y)) (/ (exp (* x x)) (exp (* 2 y))) (log (- (* x x) (* 2 y))) (exp (- (* x x) (* 2 y))) (* (cbrt (- (* x x) (* 2 y))) (cbrt (- (* x x) (* 2 y)))) (cbrt (- (* x x) (* 2 y))) (* (* (- (* x x) (* 2 y)) (- (* x x) (* 2 y))) (- (* x x) (* 2 y))) (sqrt (- (* x x) (* 2 y))) (sqrt (- (* x x) (* 2 y))) (- (pow (* x x) 3) (pow (* 2 y) 3)) (+ (* (* x x) (* x x)) (+ (* (* 2 y) (* 2 y)) (* (* x x) (* 2 y)))) (- (* 2 y)) (- (* (* x x) (* x x)) (* (* 2 y) (* 2 y))) (+ (* x x) (* 2 y)) (- (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (- (pow x 4) (* 4 (pow y 2))) (- (pow x 4) (* 4 (pow y 2))) (- (pow x 4) (* 4 (pow y 2))) (* 4 (pow y 2)) (* 4 (pow y 2)) (* 4 (pow y 2)) (- (pow x 2) (* 2 y)) (- (pow x 2) (* 2 y)) (- (pow x 2) (* 2 y)) 5.795 * * [simplify]: Extracting # 0 : cost 0 5.796 * * [simplify]: Extracting # 1 : cost 0 5.796 * * [simplify]: Extracting # 2 : cost 0 5.796 * * [simplify]: Extracting # 3 : cost 0 5.796 * * [simplify]: Extracting # 4 : cost 0 5.797 * * [simplify]: Extracting # 5 : cost 0 5.797 * * [simplify]: Extracting # 6 : cost 0 5.797 * * [simplify]: iteration 0 : 126 enodes (cost 1454 ) 5.840 * * [simplify]: Extracting # 0 : cost 0 5.840 * * [simplify]: Extracting # 1 : cost 0 5.841 * * [simplify]: Extracting # 2 : cost 0 5.841 * * [simplify]: Extracting # 3 : cost 0 5.841 * * [simplify]: Extracting # 4 : cost 0 5.842 * * [simplify]: iteration 1 : 390 enodes (cost 1381 ) 6.232 * * [simplify]: Extracting # 0 : cost 0 6.239 * * [simplify]: Extracting # 1 : cost 0 6.247 * * [simplify]: Extracting # 2 : cost 0 6.255 * * [simplify]: Extracting # 3 : cost 0 6.262 * * [simplify]: Extracting # 4 : cost 0 6.269 * * [simplify]: Extracting # 5 : cost 0 6.277 * * [simplify]: iteration 2 : 3046 enodes (cost 1247 ) 8.109 * * [simplify]: Extracting # 0 : cost 0 8.121 * * [simplify]: Extracting # 1 : cost 0 8.128 * * [simplify]: Extracting # 2 : cost 0 8.134 * * [simplify]: iteration done: 5000 enodes (cost 1245 ) 8.135 * [simplify]: Simplified to: (log (/ (- (pow x 4) (* 4 (* y y))) (- (* x x) (* 2 y)))) (log (/ (- (pow x 4) (* 4 (* y y))) (- (* x x) (* 2 y)))) (exp (/ (- (pow x 4) (* 4 (* y y))) (- (* x x) (* 2 y)))) (pow (/ (- (pow x 4) (* 4 (* y y))) (- (* x x) (* 2 y))) 3) (* (cbrt (/ (- (pow x 4) (* 4 (* y y))) (- (* x x) (* 2 y)))) (cbrt (/ (- (pow x 4) (* 4 (* y y))) (- (* x x) (* 2 y))))) (cbrt (/ (- (pow x 4) (* 4 (* y y))) (- (* x x) (* 2 y)))) (pow (/ (- (pow x 4) (* 4 (* y y))) (- (* x x) (* 2 y))) 3) (sqrt (/ (- (pow x 4) (* 4 (* y y))) (- (* x x) (* 2 y)))) (sqrt (/ (- (pow x 4) (* 4 (* y y))) (- (* x x) (* 2 y)))) (- (- (pow x 4) (* 4 (* y y)))) (- (- (* x x) (* 2 y))) (/ (pow x 4) (- (* x x) (* 2 y))) (/ (* 4 (* y y)) (- (* x x) (* 2 y))) (/ (* (cbrt (- (pow x 4) (* 4 (* y y)))) (cbrt (- (pow x 4) (* 4 (* y y))))) (* (cbrt (- (* x x) (* 2 y))) (cbrt (- (* x x) (* 2 y))))) (/ (cbrt (- (pow x 4) (* 4 (* y y)))) (cbrt (- (* x x) (* 2 y)))) (/ (* (cbrt (- (pow x 4) (* 4 (* y y)))) (cbrt (- (pow x 4) (* 4 (* y y))))) (sqrt (- (* x x) (* 2 y)))) (/ (cbrt (- (pow x 4) (* 4 (* y y)))) (sqrt (- (* x x) (* 2 y)))) (* (cbrt (- (pow x 4) (* 4 (* y y)))) (cbrt (- (pow x 4) (* 4 (* y y))))) (/ (cbrt (- (pow x 4) (* 4 (* y y)))) (- (* x x) (* 2 y))) (/ (sqrt (- (pow x 4) (* 4 (* y y)))) (* (cbrt (- (* x x) (* 2 y))) (cbrt (- (* x x) (* 2 y))))) (/ (sqrt (- (pow x 4) (* 4 (* y y)))) (cbrt (- (* x x) (* 2 y)))) (/ (sqrt (- (pow x 4) (* 4 (* y y)))) (sqrt (- (* x x) (* 2 y)))) (/ (sqrt (- (pow x 4) (* 4 (* y y)))) (sqrt (- (* x x) (* 2 y)))) (sqrt (- (pow x 4) (* 4 (* y y)))) (/ (sqrt (- (pow x 4) (* 4 (* y y)))) (- (* x x) (* 2 y))) (/ 1 (* (cbrt (- (* x x) (* 2 y))) (cbrt (- (* x x) (* 2 y))))) (/ (- (pow x 4) (* 4 (* y y))) (cbrt (- (* x x) (* 2 y)))) (/ 1 (sqrt (- (* x x) (* 2 y)))) (/ (- (pow x 4) (* 4 (* y y))) (sqrt (- (* x x) (* 2 y)))) 1 (/ (- (pow x 4) (* 4 (* y y))) (- (* x x) (* 2 y))) (/ 1 (- (* x x) (* 2 y))) (/ (- (* x x) (* 2 y)) (- (pow x 4) (* 4 (* y y)))) (/ (- (pow x 4) (* 4 (* y y))) (* (cbrt (- (* x x) (* 2 y))) (cbrt (- (* x x) (* 2 y))))) (/ (- (pow x 4) (* 4 (* y y))) (sqrt (- (* x x) (* 2 y)))) (- (pow x 4) (* 4 (* y y))) (/ (- (* x x) (* 2 y)) (cbrt (- (pow x 4) (* 4 (* y y))))) (/ (- (* x x) (* 2 y)) (sqrt (- (pow x 4) (* 4 (* y y))))) (/ (- (* x x) (* 2 y)) (- (pow x 4) (* 4 (* y y)))) (/ (- (pow x 4) (* 4 (* y y))) (+ (* -8 (pow y 3)) (pow x 6))) (/ (- (pow x 4) (* 4 (* y y))) (- (pow x 4) (* 4 (* y y)))) (* (- (* x x) (* 2 y)) (+ (pow x 8) (* (* 4 (* y y)) (+ (* 4 (* y y)) (pow x 4))))) (* (- (* x x) (* 2 y)) (+ (pow x 4) (* 4 (* y y)))) (exp (- (pow x 4) (* 4 (* y y)))) (log (- (pow x 4) (* 4 (* y y)))) (exp (- (pow x 4) (* 4 (* y y)))) (* (cbrt (- (pow x 4) (* 4 (* y y)))) (cbrt (- (pow x 4) (* 4 (* y y))))) (cbrt (- (pow x 4) (* 4 (* y y)))) (pow (- (pow x 4) (* 4 (* y y))) 3) (sqrt (- (pow x 4) (* 4 (* y y)))) (sqrt (- (pow x 4) (* 4 (* y y)))) (- (pow (pow x 4) 3) (pow (* 4 (* y y)) 3)) (+ (pow x 8) (* (* 4 (* y y)) (+ (* 4 (* y y)) (pow x 4)))) (* (* y y) -4) (- (pow x 8) (* (pow y 4) 16)) (+ (pow x 4) (* 4 (* y y))) (* (* y y) -4) (* 4 (* y y)) (* 4 (* y y)) (log (* 4 (* y y))) (log (* 4 (* y y))) (log (* 4 (* y y))) (exp (* 4 (* y y))) (pow (* 4 (* y y)) 3) (pow (* 4 (* y y)) 3) (* (cbrt (* 4 (* y y))) (cbrt (* 4 (* y y)))) (cbrt (* 4 (* y y))) (pow (* 4 (* y y)) 3) (fabs (* 2 y)) (fabs (* 2 y)) (* 2 y) (* 2 y) (* y 4) (* (cbrt 4) (* y y)) (* (* y y) 2) (* 4 (* y y)) (exp (- (* x x) (* 2 y))) (log (- (* x x) (* 2 y))) (exp (- (* x x) (* 2 y))) (* (cbrt (- (* x x) (* 2 y))) (cbrt (- (* x x) (* 2 y)))) (cbrt (- (* x x) (* 2 y))) (pow (- (* x x) (* 2 y)) 3) (sqrt (- (* x x) (* 2 y))) (sqrt (- (* x x) (* 2 y))) (+ (* -8 (pow y 3)) (pow x 6)) (+ (pow x 4) (* (* 2 y) (+ (* x x) (* 2 y)))) (* -2 y) (- (pow x 4) (* 4 (* y y))) (+ (* x x) (* 2 y)) (* -2 y) (+ (* x x) (* 2 y)) (+ (* x x) (* 2 y)) (+ (* x x) (* 2 y)) (- (pow x 4) (* 4 (* y y))) (- (pow x 4) (* 4 (* y y))) (- (pow x 4) (* 4 (* y y))) (* 4 (* y y)) (* 4 (* y y)) (* 4 (* y y)) (- (* x x) (* 2 y)) (- (* x x) (* 2 y)) (- (* x x) (* 2 y)) 8.135 * * * [progress]: adding candidates to table 8.419 * [progress]: [Phase 3 of 3] Extracting. 8.419 * * [regime]: Finding splitpoints for: (# # #) 8.420 * * * [regime-changes]: Trying 3 branch expressions: ((* x x) y x) 8.420 * * * * [regimes]: Trying to branch on (* x x) from (# # #) 8.443 * * * * [regimes]: Trying to branch on y from (# # #) 8.476 * * * * [regimes]: Trying to branch on x from (# # #) 8.504 * * * [regime]: Found split indices: #