42.647 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.030 * * * [progress]: [2/2] Setting up program. 0.035 * [progress]: [Phase 2 of 3] Improving. 0.036 * [simplify]: Simplifying: (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) 0.036 * * [simplify]: iteration 0: 7 enodes 0.038 * * [simplify]: iteration 1: 13 enodes 0.042 * * [simplify]: iteration 2: 23 enodes 0.058 * * [simplify]: iteration 3: 35 enodes 0.068 * * [simplify]: iteration 4: 42 enodes 0.073 * * [simplify]: iteration 5: 45 enodes 0.079 * * [simplify]: iteration complete: 45 enodes 0.079 * * [simplify]: Extracting #0: cost 1 inf + 0 0.079 * * [simplify]: Extracting #1: cost 7 inf + 0 0.079 * * [simplify]: Extracting #2: cost 13 inf + 0 0.079 * * [simplify]: Extracting #3: cost 5 inf + 209 0.079 * * [simplify]: Extracting #4: cost 2 inf + 494 0.079 * * [simplify]: Extracting #5: cost 0 inf + 779 0.080 * [simplify]: Simplified to: (+ (* 3 (* y y)) (* x x)) 0.083 * * [progress]: iteration 1 / 4 0.083 * * * [progress]: picking best candidate 0.093 * * * * [pick]: Picked # 0.093 * * * [progress]: localizing error 0.105 * * * [progress]: generating rewritten candidates 0.105 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.118 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.131 * * * [progress]: generating series expansions 0.131 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.132 * [backup-simplify]: Simplify (* 3 (* y y)) into (* 3 (pow y 2)) 0.132 * [approximate]: Taking taylor expansion of (* 3 (pow y 2)) in (y) around 0 0.132 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.132 * [taylor]: Taking taylor expansion of 3 in y 0.132 * [backup-simplify]: Simplify 3 into 3 0.132 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.132 * [taylor]: Taking taylor expansion of y in y 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify 1 into 1 0.132 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.132 * [taylor]: Taking taylor expansion of 3 in y 0.132 * [backup-simplify]: Simplify 3 into 3 0.132 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.132 * [taylor]: Taking taylor expansion of y in y 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify 1 into 1 0.132 * [backup-simplify]: Simplify (* 1 1) into 1 0.133 * [backup-simplify]: Simplify (* 3 1) into 3 0.133 * [backup-simplify]: Simplify 3 into 3 0.133 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.133 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 0.133 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.135 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 0.135 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.137 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.137 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.140 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.140 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.147 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.147 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.150 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify (* 3 (pow y 2)) into (* 3 (pow y 2)) 0.151 * [backup-simplify]: Simplify (* 3 (* (/ 1 y) (/ 1 y))) into (/ 3 (pow y 2)) 0.151 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.151 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.151 * [taylor]: Taking taylor expansion of 3 in y 0.151 * [backup-simplify]: Simplify 3 into 3 0.151 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.151 * [taylor]: Taking taylor expansion of y in y 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 1 into 1 0.152 * [backup-simplify]: Simplify (* 1 1) into 1 0.152 * [backup-simplify]: Simplify (/ 3 1) into 3 0.152 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.152 * [taylor]: Taking taylor expansion of 3 in y 0.152 * [backup-simplify]: Simplify 3 into 3 0.152 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.152 * [taylor]: Taking taylor expansion of y in y 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify 1 into 1 0.153 * [backup-simplify]: Simplify (* 1 1) into 1 0.153 * [backup-simplify]: Simplify (/ 3 1) into 3 0.153 * [backup-simplify]: Simplify 3 into 3 0.154 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.154 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)))) into 0 0.154 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.156 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.156 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.157 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.157 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.159 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.160 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.160 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.162 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify (* 3 (pow (/ 1 (/ 1 y)) 2)) into (* 3 (pow y 2)) 0.163 * [backup-simplify]: Simplify (* 3 (* (/ 1 (- y)) (/ 1 (- y)))) into (/ 3 (pow y 2)) 0.163 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 0.163 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.163 * [taylor]: Taking taylor expansion of 3 in y 0.163 * [backup-simplify]: Simplify 3 into 3 0.163 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.163 * [taylor]: Taking taylor expansion of y in y 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify 1 into 1 0.163 * [backup-simplify]: Simplify (* 1 1) into 1 0.164 * [backup-simplify]: Simplify (/ 3 1) into 3 0.164 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 0.164 * [taylor]: Taking taylor expansion of 3 in y 0.164 * [backup-simplify]: Simplify 3 into 3 0.164 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.164 * [taylor]: Taking taylor expansion of y in y 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify 1 into 1 0.164 * [backup-simplify]: Simplify (* 1 1) into 1 0.165 * [backup-simplify]: Simplify (/ 3 1) into 3 0.165 * [backup-simplify]: Simplify 3 into 3 0.165 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.166 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)))) into 0 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.167 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.167 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.168 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.168 * [backup-simplify]: Simplify 0 into 0 0.169 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.169 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.169 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.171 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.171 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 0.172 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.172 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify (* 3 (pow (/ 1 (/ 1 (- y))) 2)) into (* 3 (pow y 2)) 0.173 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.173 * [backup-simplify]: Simplify (+ (* 3 (* y y)) (* x x)) into (+ (* 3 (pow y 2)) (pow x 2)) 0.173 * [approximate]: Taking taylor expansion of (+ (* 3 (pow y 2)) (pow x 2)) in (y x) around 0 0.173 * [taylor]: Taking taylor expansion of (+ (* 3 (pow y 2)) (pow x 2)) in x 0.173 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 0.173 * [taylor]: Taking taylor expansion of 3 in x 0.173 * [backup-simplify]: Simplify 3 into 3 0.173 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.173 * [taylor]: Taking taylor expansion of y in x 0.173 * [backup-simplify]: Simplify y into y 0.173 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.173 * [taylor]: Taking taylor expansion of x in x 0.173 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify 1 into 1 0.173 * [taylor]: Taking taylor expansion of (+ (* 3 (pow y 2)) (pow x 2)) in y 0.173 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.173 * [taylor]: Taking taylor expansion of 3 in y 0.173 * [backup-simplify]: Simplify 3 into 3 0.173 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.174 * [taylor]: Taking taylor expansion of y in y 0.174 * [backup-simplify]: Simplify 0 into 0 0.174 * [backup-simplify]: Simplify 1 into 1 0.174 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.174 * [taylor]: Taking taylor expansion of x in y 0.174 * [backup-simplify]: Simplify x into x 0.174 * [taylor]: Taking taylor expansion of (+ (* 3 (pow y 2)) (pow x 2)) in y 0.174 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 0.174 * [taylor]: Taking taylor expansion of 3 in y 0.174 * [backup-simplify]: Simplify 3 into 3 0.174 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.174 * [taylor]: Taking taylor expansion of y in y 0.174 * [backup-simplify]: Simplify 0 into 0 0.174 * [backup-simplify]: Simplify 1 into 1 0.174 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.174 * [taylor]: Taking taylor expansion of x in y 0.174 * [backup-simplify]: Simplify x into x 0.174 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.174 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 0.174 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.174 * [taylor]: Taking taylor expansion of x in x 0.174 * [backup-simplify]: Simplify 0 into 0 0.174 * [backup-simplify]: Simplify 1 into 1 0.174 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.175 * [backup-simplify]: Simplify (+ 0 0) into 0 0.175 * [taylor]: Taking taylor expansion of 0 in x 0.175 * [backup-simplify]: Simplify 0 into 0 0.175 * [backup-simplify]: Simplify 0 into 0 0.176 * [backup-simplify]: Simplify (* 1 1) into 1 0.176 * [backup-simplify]: Simplify (* 3 1) into 3 0.177 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 0.177 * [backup-simplify]: Simplify (+ 3 0) into 3 0.177 * [taylor]: Taking taylor expansion of 3 in x 0.177 * [backup-simplify]: Simplify 3 into 3 0.177 * [backup-simplify]: Simplify 3 into 3 0.177 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify (* 1 1) into 1 0.178 * [backup-simplify]: Simplify 1 into 1 0.178 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.179 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 0.180 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 0.180 * [backup-simplify]: Simplify (+ 0 0) into 0 0.180 * [taylor]: Taking taylor expansion of 0 in x 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify 0 into 0 0.181 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.181 * [backup-simplify]: Simplify 0 into 0 0.182 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.183 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 0.184 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 0.184 * [backup-simplify]: Simplify (+ 0 0) into 0 0.184 * [taylor]: Taking taylor expansion of 0 in x 0.184 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify (+ (* 1 (pow (* x 1) 2)) (* 3 (pow (* 1 y) 2))) into (+ (* 3 (pow y 2)) (pow x 2)) 0.185 * [backup-simplify]: Simplify (+ (* 3 (* (/ 1 y) (/ 1 y))) (* (/ 1 x) (/ 1 x))) into (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.185 * [approximate]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in (y x) around 0 0.185 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 0.185 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.185 * [taylor]: Taking taylor expansion of 3 in x 0.185 * [backup-simplify]: Simplify 3 into 3 0.185 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.185 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.185 * [taylor]: Taking taylor expansion of y in x 0.185 * [backup-simplify]: Simplify y into y 0.186 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.186 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.186 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.186 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.186 * [taylor]: Taking taylor expansion of x in x 0.186 * [backup-simplify]: Simplify 0 into 0 0.186 * [backup-simplify]: Simplify 1 into 1 0.186 * [backup-simplify]: Simplify (* 1 1) into 1 0.187 * [backup-simplify]: Simplify (/ 1 1) into 1 0.187 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 0.187 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.187 * [taylor]: Taking taylor expansion of 3 in y 0.187 * [backup-simplify]: Simplify 3 into 3 0.187 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.187 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.187 * [taylor]: Taking taylor expansion of y in y 0.187 * [backup-simplify]: Simplify 0 into 0 0.187 * [backup-simplify]: Simplify 1 into 1 0.187 * [backup-simplify]: Simplify (* 1 1) into 1 0.188 * [backup-simplify]: Simplify (/ 1 1) into 1 0.188 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.188 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.188 * [taylor]: Taking taylor expansion of x in y 0.188 * [backup-simplify]: Simplify x into x 0.188 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.188 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.188 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 0.188 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.188 * [taylor]: Taking taylor expansion of 3 in y 0.188 * [backup-simplify]: Simplify 3 into 3 0.188 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.188 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.188 * [taylor]: Taking taylor expansion of y in y 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify 1 into 1 0.189 * [backup-simplify]: Simplify (* 1 1) into 1 0.189 * [backup-simplify]: Simplify (/ 1 1) into 1 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)) 0.190 * [backup-simplify]: Simplify (* 3 1) into 3 0.190 * [backup-simplify]: Simplify (+ 3 0) into 3 0.190 * [taylor]: Taking taylor expansion of 3 in x 0.190 * [backup-simplify]: Simplify 3 into 3 0.191 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.192 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 0.193 * [backup-simplify]: Simplify (+ 0 0) into 0 0.193 * [taylor]: Taking taylor expansion of 0 in x 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.195 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 0.196 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 0.196 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.196 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.196 * [taylor]: Taking taylor expansion of x in x 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify 1 into 1 0.196 * [backup-simplify]: Simplify (* 1 1) into 1 0.196 * [backup-simplify]: Simplify (/ 1 1) into 1 0.196 * [backup-simplify]: Simplify 1 into 1 0.196 * [backup-simplify]: Simplify 3 into 3 0.197 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.198 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.198 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.198 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 0.199 * [backup-simplify]: Simplify (+ 0 0) into 0 0.199 * [taylor]: Taking taylor expansion of 0 in x 0.199 * [backup-simplify]: Simplify 0 into 0 0.199 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.200 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.202 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.202 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 0.202 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 0.202 * [backup-simplify]: Simplify (+ 0 0) into 0 0.202 * [taylor]: Taking taylor expansion of 0 in x 0.202 * [backup-simplify]: Simplify 0 into 0 0.203 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.204 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify (+ (* 3 (pow (* 1 (/ 1 (/ 1 y))) 2)) (* 1 (pow (* (/ 1 (/ 1 x)) 1) 2))) into (+ (* 3 (pow y 2)) (pow x 2)) 0.204 * [backup-simplify]: Simplify (+ (* 3 (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- x)) (/ 1 (- x)))) into (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 0.204 * [approximate]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in (y x) around 0 0.204 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 0.204 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 0.204 * [taylor]: Taking taylor expansion of 3 in x 0.204 * [backup-simplify]: Simplify 3 into 3 0.204 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.204 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.204 * [taylor]: Taking taylor expansion of y in x 0.204 * [backup-simplify]: Simplify y into y 0.204 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.204 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.204 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.204 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.204 * [taylor]: Taking taylor expansion of x in x 0.204 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify 1 into 1 0.205 * [backup-simplify]: Simplify (* 1 1) into 1 0.205 * [backup-simplify]: Simplify (/ 1 1) into 1 0.205 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 0.205 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.205 * [taylor]: Taking taylor expansion of 3 in y 0.205 * [backup-simplify]: Simplify 3 into 3 0.205 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.205 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.205 * [taylor]: Taking taylor expansion of y in y 0.205 * [backup-simplify]: Simplify 0 into 0 0.205 * [backup-simplify]: Simplify 1 into 1 0.205 * [backup-simplify]: Simplify (* 1 1) into 1 0.206 * [backup-simplify]: Simplify (/ 1 1) into 1 0.206 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.206 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.206 * [taylor]: Taking taylor expansion of x in y 0.206 * [backup-simplify]: Simplify x into x 0.206 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.206 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.206 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 0.206 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 0.206 * [taylor]: Taking taylor expansion of 3 in y 0.206 * [backup-simplify]: Simplify 3 into 3 0.206 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.206 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.206 * [taylor]: Taking taylor expansion of y in y 0.206 * [backup-simplify]: Simplify 0 into 0 0.206 * [backup-simplify]: Simplify 1 into 1 0.207 * [backup-simplify]: Simplify (* 1 1) into 1 0.207 * [backup-simplify]: Simplify (/ 1 1) into 1 0.207 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.207 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.207 * [taylor]: Taking taylor expansion of x in y 0.207 * [backup-simplify]: Simplify x into x 0.207 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.207 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.208 * [backup-simplify]: Simplify (* 3 1) into 3 0.208 * [backup-simplify]: Simplify (+ 3 0) into 3 0.208 * [taylor]: Taking taylor expansion of 3 in x 0.208 * [backup-simplify]: Simplify 3 into 3 0.209 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.210 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 0.211 * [backup-simplify]: Simplify (+ 0 0) into 0 0.211 * [taylor]: Taking taylor expansion of 0 in x 0.211 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.213 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 0.214 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 0.214 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.214 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.214 * [taylor]: Taking taylor expansion of x in x 0.214 * [backup-simplify]: Simplify 0 into 0 0.214 * [backup-simplify]: Simplify 1 into 1 0.214 * [backup-simplify]: Simplify (* 1 1) into 1 0.214 * [backup-simplify]: Simplify (/ 1 1) into 1 0.215 * [backup-simplify]: Simplify 1 into 1 0.215 * [backup-simplify]: Simplify 3 into 3 0.216 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.217 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.218 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.218 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 0.218 * [backup-simplify]: Simplify (+ 0 0) into 0 0.218 * [taylor]: Taking taylor expansion of 0 in x 0.218 * [backup-simplify]: Simplify 0 into 0 0.219 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.220 * [backup-simplify]: Simplify 0 into 0 0.220 * [backup-simplify]: Simplify 0 into 0 0.220 * [backup-simplify]: Simplify 0 into 0 0.221 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.223 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.223 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 0.224 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 0.224 * [backup-simplify]: Simplify (+ 0 0) into 0 0.224 * [taylor]: Taking taylor expansion of 0 in x 0.224 * [backup-simplify]: Simplify 0 into 0 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 into 0 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify (+ (* 3 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- x))) 1) 2))) into (+ (* 3 (pow y 2)) (pow x 2)) 0.227 * * * [progress]: simplifying candidates 0.227 * [simplify]: Simplifying: (* 3 (* y y)) (* 3 (* y y)) (+ (log 3) (+ (log y) (log y))) (+ (log 3) (log (* y y))) (log (* 3 (* y y))) (exp (* 3 (* y y))) (* (* (* 3 3) 3) (* (* (* y y) y) (* (* y y) y))) (* (* (* 3 3) 3) (* (* (* y y) (* y y)) (* y y))) (* (cbrt (* 3 (* y y))) (cbrt (* 3 (* y y)))) (cbrt (* 3 (* y y))) (* (* (* 3 (* y y)) (* 3 (* y y))) (* 3 (* y y))) (sqrt (* 3 (* y y))) (sqrt (* 3 (* y y))) (* (sqrt 3) y) (* (sqrt 3) y) (* 3 y) (* (cbrt 3) (* y y)) (* (sqrt 3) (* y y)) (* 3 (* y y)) (* (exp (* 3 (* y y))) (exp (* x x))) (log (+ (* 3 (* y y)) (* x x))) (exp (+ (* 3 (* y y)) (* x x))) (* (cbrt (+ (* 3 (* y y)) (* x x))) (cbrt (+ (* 3 (* y y)) (* x x)))) (cbrt (+ (* 3 (* y y)) (* x x))) (* (* (+ (* 3 (* y y)) (* x x)) (+ (* 3 (* y y)) (* x x))) (+ (* 3 (* y y)) (* x x))) (sqrt (+ (* 3 (* y y)) (* x x))) (sqrt (+ (* 3 (* y y)) (* x x))) (+ (pow (* 3 (* y y)) 3) (pow (* x x) 3)) (+ (* (* 3 (* y y)) (* 3 (* y y))) (- (* (* x x) (* x x)) (* (* 3 (* y y)) (* x x)))) (- (* (* 3 (* y y)) (* 3 (* y y))) (* (* x x) (* x x))) (- (* 3 (* y y)) (* x x)) (* 3 (pow y 2)) (* 3 (pow y 2)) (* 3 (pow y 2)) (+ (* 3 (pow y 2)) (pow x 2)) (+ (* 3 (pow y 2)) (pow x 2)) (+ (* 3 (pow y 2)) (pow x 2)) 0.228 * * [simplify]: iteration 0: 57 enodes 0.256 * * [simplify]: iteration 1: 176 enodes 0.354 * * [simplify]: iteration 2: 624 enodes 1.089 * * [simplify]: iteration 3: 3336 enodes 2.290 * * [simplify]: iteration complete: 5000 enodes 2.291 * * [simplify]: Extracting #0: cost 22 inf + 0 2.291 * * [simplify]: Extracting #1: cost 219 inf + 0 2.294 * * [simplify]: Extracting #2: cost 1040 inf + 2096 2.302 * * [simplify]: Extracting #3: cost 1175 inf + 32104 2.341 * * [simplify]: Extracting #4: cost 334 inf + 141863 2.391 * * [simplify]: Extracting #5: cost 59 inf + 194805 2.456 * * [simplify]: Extracting #6: cost 6 inf + 209407 2.508 * * [simplify]: Extracting #7: cost 0 inf + 211165 2.560 * [simplify]: Simplified to: (* 3 (* y y)) (* 3 (* y y)) (log (* 3 (* y y))) (log (* 3 (* y y))) (log (* 3 (* y y))) (exp (* 3 (* y y))) (* (* (* (* y y) y) 27) (* (* y y) y)) (* (* (* (* y y) y) 27) (* (* y y) y)) (* (cbrt (* 3 (* y y))) (cbrt (* 3 (* y y)))) (cbrt (* 3 (* y y))) (* (* (* (* y y) y) 27) (* (* y y) y)) (sqrt (* 3 (* y y))) (sqrt (* 3 (* y y))) (* y (sqrt 3)) (* y (sqrt 3)) (* 3 y) (* (* y y) (cbrt 3)) (* (sqrt 3) (* y y)) (* 3 (* y y)) (exp (+ (* x x) (* 3 (* y y)))) (log (+ (* x x) (* 3 (* y y)))) (exp (+ (* x x) (* 3 (* y y)))) (* (cbrt (+ (* x x) (* 3 (* y y)))) (cbrt (+ (* x x) (* 3 (* y y))))) (cbrt (+ (* x x) (* 3 (* y y)))) (* (* (+ (* x x) (* 3 (* y y))) (+ (* x x) (* 3 (* y y)))) (+ (* x x) (* 3 (* y y)))) (sqrt (+ (* x x) (* 3 (* y y)))) (sqrt (+ (* x x) (* 3 (* y y)))) (+ (* (* (* x x) x) (* (* x x) x)) (* (* (* (* y y) y) 27) (* (* y y) y))) (- (* (* x x) (* x x)) (* (* 3 (* y y)) (- (* x x) (* 3 (* y y))))) (* (+ (* 3 (* y y)) (* x x)) (- (* 3 (* y y)) (* x x))) (- (* 3 (* y y)) (* x x)) (* 3 (* y y)) (* 3 (* y y)) (* 3 (* y y)) (+ (* x x) (* 3 (* y y))) (+ (* x x) (* 3 (* y y))) (+ (* x x) (* 3 (* y y))) 2.562 * * * [progress]: adding candidates to table 2.677 * * [progress]: iteration 2 / 4 2.677 * * * [progress]: picking best candidate 2.714 * * * * [pick]: Picked # 2.715 * * * [progress]: localizing error 2.729 * * * [progress]: generating rewritten candidates 2.729 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 2.753 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 2.767 * * * [progress]: generating series expansions 2.767 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 2.767 * [backup-simplify]: Simplify (* (* 3 y) y) into (* 3 (pow y 2)) 2.767 * [approximate]: Taking taylor expansion of (* 3 (pow y 2)) in (y) around 0 2.767 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 2.767 * [taylor]: Taking taylor expansion of 3 in y 2.767 * [backup-simplify]: Simplify 3 into 3 2.767 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.767 * [taylor]: Taking taylor expansion of y in y 2.767 * [backup-simplify]: Simplify 0 into 0 2.767 * [backup-simplify]: Simplify 1 into 1 2.767 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 2.768 * [taylor]: Taking taylor expansion of 3 in y 2.768 * [backup-simplify]: Simplify 3 into 3 2.768 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.768 * [taylor]: Taking taylor expansion of y in y 2.768 * [backup-simplify]: Simplify 0 into 0 2.768 * [backup-simplify]: Simplify 1 into 1 2.768 * [backup-simplify]: Simplify (* 1 1) into 1 2.768 * [backup-simplify]: Simplify (* 3 1) into 3 2.769 * [backup-simplify]: Simplify 3 into 3 2.769 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.769 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 2.769 * [backup-simplify]: Simplify 0 into 0 2.770 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.770 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 2.771 * [backup-simplify]: Simplify 0 into 0 2.771 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.772 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.772 * [backup-simplify]: Simplify 0 into 0 2.772 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.773 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.773 * [backup-simplify]: Simplify 0 into 0 2.774 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.775 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.775 * [backup-simplify]: Simplify 0 into 0 2.776 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.776 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.777 * [backup-simplify]: Simplify 0 into 0 2.777 * [backup-simplify]: Simplify (* 3 (pow y 2)) into (* 3 (pow y 2)) 2.777 * [backup-simplify]: Simplify (* (* 3 (/ 1 y)) (/ 1 y)) into (/ 3 (pow y 2)) 2.777 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 2.777 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 2.777 * [taylor]: Taking taylor expansion of 3 in y 2.777 * [backup-simplify]: Simplify 3 into 3 2.777 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.777 * [taylor]: Taking taylor expansion of y in y 2.777 * [backup-simplify]: Simplify 0 into 0 2.777 * [backup-simplify]: Simplify 1 into 1 2.777 * [backup-simplify]: Simplify (* 1 1) into 1 2.778 * [backup-simplify]: Simplify (/ 3 1) into 3 2.778 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 2.778 * [taylor]: Taking taylor expansion of 3 in y 2.778 * [backup-simplify]: Simplify 3 into 3 2.778 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.778 * [taylor]: Taking taylor expansion of y in y 2.778 * [backup-simplify]: Simplify 0 into 0 2.778 * [backup-simplify]: Simplify 1 into 1 2.778 * [backup-simplify]: Simplify (* 1 1) into 1 2.778 * [backup-simplify]: Simplify (/ 3 1) into 3 2.778 * [backup-simplify]: Simplify 3 into 3 2.779 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.779 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)))) into 0 2.779 * [backup-simplify]: Simplify 0 into 0 2.780 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.780 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.780 * [backup-simplify]: Simplify 0 into 0 2.781 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.781 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.782 * [backup-simplify]: Simplify 0 into 0 2.782 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.783 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.783 * [backup-simplify]: Simplify 0 into 0 2.783 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.784 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.784 * [backup-simplify]: Simplify 0 into 0 2.786 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.787 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.787 * [backup-simplify]: Simplify 0 into 0 2.787 * [backup-simplify]: Simplify (* 3 (pow (/ 1 (/ 1 y)) 2)) into (* 3 (pow y 2)) 2.787 * [backup-simplify]: Simplify (* (* 3 (/ 1 (- y))) (/ 1 (- y))) into (/ 3 (pow y 2)) 2.787 * [approximate]: Taking taylor expansion of (/ 3 (pow y 2)) in (y) around 0 2.787 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 2.787 * [taylor]: Taking taylor expansion of 3 in y 2.787 * [backup-simplify]: Simplify 3 into 3 2.787 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.787 * [taylor]: Taking taylor expansion of y in y 2.787 * [backup-simplify]: Simplify 0 into 0 2.787 * [backup-simplify]: Simplify 1 into 1 2.788 * [backup-simplify]: Simplify (* 1 1) into 1 2.788 * [backup-simplify]: Simplify (/ 3 1) into 3 2.788 * [taylor]: Taking taylor expansion of (/ 3 (pow y 2)) in y 2.788 * [taylor]: Taking taylor expansion of 3 in y 2.788 * [backup-simplify]: Simplify 3 into 3 2.788 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.788 * [taylor]: Taking taylor expansion of y in y 2.788 * [backup-simplify]: Simplify 0 into 0 2.788 * [backup-simplify]: Simplify 1 into 1 2.789 * [backup-simplify]: Simplify (* 1 1) into 1 2.789 * [backup-simplify]: Simplify (/ 3 1) into 3 2.789 * [backup-simplify]: Simplify 3 into 3 2.790 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.791 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)))) into 0 2.791 * [backup-simplify]: Simplify 0 into 0 2.792 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.793 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.793 * [backup-simplify]: Simplify 0 into 0 2.794 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.795 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.795 * [backup-simplify]: Simplify 0 into 0 2.796 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.797 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.797 * [backup-simplify]: Simplify 0 into 0 2.798 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 2.799 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.799 * [backup-simplify]: Simplify 0 into 0 2.800 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 2.801 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 3 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.801 * [backup-simplify]: Simplify 0 into 0 2.802 * [backup-simplify]: Simplify (* 3 (pow (/ 1 (/ 1 (- y))) 2)) into (* 3 (pow y 2)) 2.802 * * * * [progress]: [ 2 / 2 ] generating series at (2) 2.802 * [backup-simplify]: Simplify (+ (* (* 3 y) y) (* x x)) into (+ (* 3 (pow y 2)) (pow x 2)) 2.802 * [approximate]: Taking taylor expansion of (+ (* 3 (pow y 2)) (pow x 2)) in (y x) around 0 2.802 * [taylor]: Taking taylor expansion of (+ (* 3 (pow y 2)) (pow x 2)) in x 2.802 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 2.802 * [taylor]: Taking taylor expansion of 3 in x 2.802 * [backup-simplify]: Simplify 3 into 3 2.802 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.802 * [taylor]: Taking taylor expansion of y in x 2.802 * [backup-simplify]: Simplify y into y 2.802 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.802 * [taylor]: Taking taylor expansion of x in x 2.802 * [backup-simplify]: Simplify 0 into 0 2.802 * [backup-simplify]: Simplify 1 into 1 2.802 * [taylor]: Taking taylor expansion of (+ (* 3 (pow y 2)) (pow x 2)) in y 2.802 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 2.802 * [taylor]: Taking taylor expansion of 3 in y 2.802 * [backup-simplify]: Simplify 3 into 3 2.802 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.802 * [taylor]: Taking taylor expansion of y in y 2.803 * [backup-simplify]: Simplify 0 into 0 2.803 * [backup-simplify]: Simplify 1 into 1 2.803 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.803 * [taylor]: Taking taylor expansion of x in y 2.803 * [backup-simplify]: Simplify x into x 2.803 * [taylor]: Taking taylor expansion of (+ (* 3 (pow y 2)) (pow x 2)) in y 2.803 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 2.803 * [taylor]: Taking taylor expansion of 3 in y 2.803 * [backup-simplify]: Simplify 3 into 3 2.803 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.803 * [taylor]: Taking taylor expansion of y in y 2.803 * [backup-simplify]: Simplify 0 into 0 2.803 * [backup-simplify]: Simplify 1 into 1 2.803 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.803 * [taylor]: Taking taylor expansion of x in y 2.803 * [backup-simplify]: Simplify x into x 2.803 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.803 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 2.803 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.803 * [taylor]: Taking taylor expansion of x in x 2.803 * [backup-simplify]: Simplify 0 into 0 2.803 * [backup-simplify]: Simplify 1 into 1 2.803 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 2.804 * [backup-simplify]: Simplify (+ 0 0) into 0 2.804 * [taylor]: Taking taylor expansion of 0 in x 2.804 * [backup-simplify]: Simplify 0 into 0 2.804 * [backup-simplify]: Simplify 0 into 0 2.804 * [backup-simplify]: Simplify (* 1 1) into 1 2.805 * [backup-simplify]: Simplify (* 3 1) into 3 2.805 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 2.806 * [backup-simplify]: Simplify (+ 3 0) into 3 2.806 * [taylor]: Taking taylor expansion of 3 in x 2.806 * [backup-simplify]: Simplify 3 into 3 2.806 * [backup-simplify]: Simplify 3 into 3 2.806 * [backup-simplify]: Simplify 0 into 0 2.806 * [backup-simplify]: Simplify (* 1 1) into 1 2.806 * [backup-simplify]: Simplify 1 into 1 2.807 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.807 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 2.809 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 2.809 * [backup-simplify]: Simplify (+ 0 0) into 0 2.809 * [taylor]: Taking taylor expansion of 0 in x 2.809 * [backup-simplify]: Simplify 0 into 0 2.809 * [backup-simplify]: Simplify 0 into 0 2.809 * [backup-simplify]: Simplify 0 into 0 2.809 * [backup-simplify]: Simplify 0 into 0 2.810 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.810 * [backup-simplify]: Simplify 0 into 0 2.811 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.812 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 2.813 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 2.813 * [backup-simplify]: Simplify (+ 0 0) into 0 2.813 * [taylor]: Taking taylor expansion of 0 in x 2.813 * [backup-simplify]: Simplify 0 into 0 2.813 * [backup-simplify]: Simplify 0 into 0 2.813 * [backup-simplify]: Simplify 0 into 0 2.814 * [backup-simplify]: Simplify (+ (* 1 (pow (* x 1) 2)) (* 3 (pow (* 1 y) 2))) into (+ (* 3 (pow y 2)) (pow x 2)) 2.814 * [backup-simplify]: Simplify (+ (* (* 3 (/ 1 y)) (/ 1 y)) (* (/ 1 x) (/ 1 x))) into (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 2.814 * [approximate]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in (y x) around 0 2.814 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 2.814 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 2.814 * [taylor]: Taking taylor expansion of 3 in x 2.814 * [backup-simplify]: Simplify 3 into 3 2.814 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.814 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.814 * [taylor]: Taking taylor expansion of y in x 2.814 * [backup-simplify]: Simplify y into y 2.814 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.815 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.815 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.815 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.815 * [taylor]: Taking taylor expansion of x in x 2.815 * [backup-simplify]: Simplify 0 into 0 2.815 * [backup-simplify]: Simplify 1 into 1 2.815 * [backup-simplify]: Simplify (* 1 1) into 1 2.815 * [backup-simplify]: Simplify (/ 1 1) into 1 2.815 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 2.815 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 2.816 * [taylor]: Taking taylor expansion of 3 in y 2.816 * [backup-simplify]: Simplify 3 into 3 2.816 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.816 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.816 * [taylor]: Taking taylor expansion of y in y 2.816 * [backup-simplify]: Simplify 0 into 0 2.816 * [backup-simplify]: Simplify 1 into 1 2.816 * [backup-simplify]: Simplify (* 1 1) into 1 2.816 * [backup-simplify]: Simplify (/ 1 1) into 1 2.816 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.816 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.817 * [taylor]: Taking taylor expansion of x in y 2.817 * [backup-simplify]: Simplify x into x 2.817 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.817 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.817 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 2.817 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 2.817 * [taylor]: Taking taylor expansion of 3 in y 2.817 * [backup-simplify]: Simplify 3 into 3 2.817 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.817 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.817 * [taylor]: Taking taylor expansion of y in y 2.817 * [backup-simplify]: Simplify 0 into 0 2.817 * [backup-simplify]: Simplify 1 into 1 2.817 * [backup-simplify]: Simplify (* 1 1) into 1 2.818 * [backup-simplify]: Simplify (/ 1 1) into 1 2.818 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.818 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.818 * [taylor]: Taking taylor expansion of x in y 2.818 * [backup-simplify]: Simplify x into x 2.818 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.818 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.818 * [backup-simplify]: Simplify (* 3 1) into 3 2.819 * [backup-simplify]: Simplify (+ 3 0) into 3 2.819 * [taylor]: Taking taylor expansion of 3 in x 2.819 * [backup-simplify]: Simplify 3 into 3 2.820 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.824 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.824 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 2.825 * [backup-simplify]: Simplify (+ 0 0) into 0 2.825 * [taylor]: Taking taylor expansion of 0 in x 2.825 * [backup-simplify]: Simplify 0 into 0 2.825 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.826 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 2.826 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 2.826 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.826 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.827 * [taylor]: Taking taylor expansion of x in x 2.827 * [backup-simplify]: Simplify 0 into 0 2.827 * [backup-simplify]: Simplify 1 into 1 2.827 * [backup-simplify]: Simplify (* 1 1) into 1 2.827 * [backup-simplify]: Simplify (/ 1 1) into 1 2.827 * [backup-simplify]: Simplify 1 into 1 2.827 * [backup-simplify]: Simplify 3 into 3 2.828 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.828 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.829 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.829 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 2.829 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 2.829 * [backup-simplify]: Simplify (+ 0 0) into 0 2.829 * [taylor]: Taking taylor expansion of 0 in x 2.829 * [backup-simplify]: Simplify 0 into 0 2.830 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.830 * [backup-simplify]: Simplify 0 into 0 2.830 * [backup-simplify]: Simplify 0 into 0 2.830 * [backup-simplify]: Simplify 0 into 0 2.831 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.832 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.832 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 2.833 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 2.833 * [backup-simplify]: Simplify (+ 0 0) into 0 2.833 * [taylor]: Taking taylor expansion of 0 in x 2.833 * [backup-simplify]: Simplify 0 into 0 2.833 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.834 * [backup-simplify]: Simplify 0 into 0 2.834 * [backup-simplify]: Simplify 0 into 0 2.834 * [backup-simplify]: Simplify 0 into 0 2.834 * [backup-simplify]: Simplify (+ (* 3 (pow (* 1 (/ 1 (/ 1 y))) 2)) (* 1 (pow (* (/ 1 (/ 1 x)) 1) 2))) into (+ (* 3 (pow y 2)) (pow x 2)) 2.834 * [backup-simplify]: Simplify (+ (* (* 3 (/ 1 (- y))) (/ 1 (- y))) (* (/ 1 (- x)) (/ 1 (- x)))) into (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 2.835 * [approximate]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in (y x) around 0 2.835 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 2.835 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 2.835 * [taylor]: Taking taylor expansion of 3 in x 2.835 * [backup-simplify]: Simplify 3 into 3 2.835 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.835 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.835 * [taylor]: Taking taylor expansion of y in x 2.835 * [backup-simplify]: Simplify y into y 2.835 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.835 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.835 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.835 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.835 * [taylor]: Taking taylor expansion of x in x 2.835 * [backup-simplify]: Simplify 0 into 0 2.835 * [backup-simplify]: Simplify 1 into 1 2.835 * [backup-simplify]: Simplify (* 1 1) into 1 2.835 * [backup-simplify]: Simplify (/ 1 1) into 1 2.835 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 2.835 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 2.835 * [taylor]: Taking taylor expansion of 3 in y 2.835 * [backup-simplify]: Simplify 3 into 3 2.835 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.835 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.835 * [taylor]: Taking taylor expansion of y in y 2.835 * [backup-simplify]: Simplify 0 into 0 2.835 * [backup-simplify]: Simplify 1 into 1 2.836 * [backup-simplify]: Simplify (* 1 1) into 1 2.836 * [backup-simplify]: Simplify (/ 1 1) into 1 2.836 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.836 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.836 * [taylor]: Taking taylor expansion of x in y 2.836 * [backup-simplify]: Simplify x into x 2.836 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.836 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.836 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 2.836 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 2.836 * [taylor]: Taking taylor expansion of 3 in y 2.836 * [backup-simplify]: Simplify 3 into 3 2.836 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.836 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.836 * [taylor]: Taking taylor expansion of y in y 2.836 * [backup-simplify]: Simplify 0 into 0 2.836 * [backup-simplify]: Simplify 1 into 1 2.836 * [backup-simplify]: Simplify (* 1 1) into 1 2.837 * [backup-simplify]: Simplify (/ 1 1) into 1 2.837 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.837 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.837 * [taylor]: Taking taylor expansion of x in y 2.837 * [backup-simplify]: Simplify x into x 2.837 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.837 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.837 * [backup-simplify]: Simplify (* 3 1) into 3 2.837 * [backup-simplify]: Simplify (+ 3 0) into 3 2.838 * [taylor]: Taking taylor expansion of 3 in x 2.838 * [backup-simplify]: Simplify 3 into 3 2.838 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.839 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 2.839 * [backup-simplify]: Simplify (+ 0 0) into 0 2.839 * [taylor]: Taking taylor expansion of 0 in x 2.839 * [backup-simplify]: Simplify 0 into 0 2.839 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.841 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 2.841 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 2.841 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.841 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.841 * [taylor]: Taking taylor expansion of x in x 2.841 * [backup-simplify]: Simplify 0 into 0 2.841 * [backup-simplify]: Simplify 1 into 1 2.841 * [backup-simplify]: Simplify (* 1 1) into 1 2.841 * [backup-simplify]: Simplify (/ 1 1) into 1 2.842 * [backup-simplify]: Simplify 1 into 1 2.842 * [backup-simplify]: Simplify 3 into 3 2.842 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.843 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.843 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 2.844 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 2.844 * [backup-simplify]: Simplify (+ 0 0) into 0 2.844 * [taylor]: Taking taylor expansion of 0 in x 2.844 * [backup-simplify]: Simplify 0 into 0 2.844 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.845 * [backup-simplify]: Simplify 0 into 0 2.845 * [backup-simplify]: Simplify 0 into 0 2.845 * [backup-simplify]: Simplify 0 into 0 2.845 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.847 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.847 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 2.847 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 2.847 * [backup-simplify]: Simplify (+ 0 0) into 0 2.847 * [taylor]: Taking taylor expansion of 0 in x 2.847 * [backup-simplify]: Simplify 0 into 0 2.848 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.849 * [backup-simplify]: Simplify 0 into 0 2.849 * [backup-simplify]: Simplify 0 into 0 2.849 * [backup-simplify]: Simplify 0 into 0 2.849 * [backup-simplify]: Simplify (+ (* 3 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- x))) 1) 2))) into (+ (* 3 (pow y 2)) (pow x 2)) 2.849 * * * [progress]: simplifying candidates 2.850 * [simplify]: Simplifying: (* (* 3 y) y) (* (* 3 y) y) (+ (+ (log 3) (log y)) (log y)) (+ (log (* 3 y)) (log y)) (log (* (* 3 y) y)) (exp (* (* 3 y) y)) (* (* (* (* 3 3) 3) (* (* y y) y)) (* (* y y) y)) (* (* (* (* 3 y) (* 3 y)) (* 3 y)) (* (* y y) y)) (* (cbrt (* (* 3 y) y)) (cbrt (* (* 3 y) y))) (cbrt (* (* 3 y) y)) (* (* (* (* 3 y) y) (* (* 3 y) y)) (* (* 3 y) y)) (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y)) (* (* 3 y) (* (cbrt y) (cbrt y))) (* (* 3 y) (sqrt y)) (* (* 3 y) 1) (* y y) (* (exp (* (* 3 y) y)) (exp (* x x))) (log (+ (* (* 3 y) y) (* x x))) (exp (+ (* (* 3 y) y) (* x x))) (* (cbrt (+ (* (* 3 y) y) (* x x))) (cbrt (+ (* (* 3 y) y) (* x x)))) (cbrt (+ (* (* 3 y) y) (* x x))) (* (* (+ (* (* 3 y) y) (* x x)) (+ (* (* 3 y) y) (* x x))) (+ (* (* 3 y) y) (* x x))) (sqrt (+ (* (* 3 y) y) (* x x))) (sqrt (+ (* (* 3 y) y) (* x x))) (+ (pow (* (* 3 y) y) 3) (pow (* x x) 3)) (+ (* (* (* 3 y) y) (* (* 3 y) y)) (- (* (* x x) (* x x)) (* (* (* 3 y) y) (* x x)))) (- (* (* (* 3 y) y) (* (* 3 y) y)) (* (* x x) (* x x))) (- (* (* 3 y) y) (* x x)) (* 3 (pow y 2)) (* 3 (pow y 2)) (* 3 (pow y 2)) (+ (* 3 (pow y 2)) (pow x 2)) (+ (* 3 (pow y 2)) (pow x 2)) (+ (* 3 (pow y 2)) (pow x 2)) 2.851 * * [simplify]: iteration 0: 59 enodes 2.877 * * [simplify]: iteration 1: 179 enodes 2.978 * * [simplify]: iteration 2: 654 enodes 3.682 * * [simplify]: iteration 3: 2849 enodes 4.909 * * [simplify]: iteration complete: 5033 enodes 4.909 * * [simplify]: Extracting #0: cost 22 inf + 0 4.910 * * [simplify]: Extracting #1: cost 268 inf + 0 4.912 * * [simplify]: Extracting #2: cost 1085 inf + 2185 4.922 * * [simplify]: Extracting #3: cost 1323 inf + 43827 4.944 * * [simplify]: Extracting #4: cost 642 inf + 141931 4.993 * * [simplify]: Extracting #5: cost 144 inf + 256677 5.046 * * [simplify]: Extracting #6: cost 10 inf + 288873 5.098 * * [simplify]: Extracting #7: cost 0 inf + 291704 5.152 * [simplify]: Simplified to: (* 3 (* y y)) (* 3 (* y y)) (log (* 3 (* y y))) (log (* 3 (* y y))) (log (* 3 (* y y))) (exp (* 3 (* y y))) (* 27 (* (* y (* y y)) (* y (* y y)))) (* 27 (* (* y (* y y)) (* y (* y y)))) (* (cbrt (* 3 (* y y))) (cbrt (* 3 (* y y)))) (cbrt (* 3 (* y y))) (* 27 (* (* y (* y y)) (* y (* y y)))) (sqrt (* 3 (* y y))) (sqrt (* 3 (* y y))) (* (* 3 y) (* (cbrt y) (cbrt y))) (* 3 (* y (sqrt y))) (* 3 y) (* y y) (exp (+ (* x x) (* 3 (* y y)))) (log (+ (* x x) (* 3 (* y y)))) (exp (+ (* x x) (* 3 (* y y)))) (* (cbrt (+ (* x x) (* 3 (* y y)))) (cbrt (+ (* x x) (* 3 (* y y))))) (cbrt (+ (* x x) (* 3 (* y y)))) (* (+ (* x x) (* 3 (* y y))) (* (+ (* x x) (* 3 (* y y))) (+ (* x x) (* 3 (* y y))))) (sqrt (+ (* x x) (* 3 (* y y)))) (sqrt (+ (* x x) (* 3 (* y y)))) (+ (* (* x x) (* (* x x) (* x x))) (* 27 (* (* y (* y y)) (* y (* y y))))) (+ (* (* x x) (* x x)) (* (* 3 (* y y)) (- (* 3 (* y y)) (* x x)))) (- (* (* 9 (* y y)) (* y y)) (* (* x x) (* x x))) (- (* 3 (* y y)) (* x x)) (* 3 (* y y)) (* 3 (* y y)) (* 3 (* y y)) (+ (* x x) (* 3 (* y y))) (+ (* x x) (* 3 (* y y))) (+ (* x x) (* 3 (* y y))) 5.153 * * * [progress]: adding candidates to table 5.254 * * [progress]: iteration 3 / 4 5.254 * * * [progress]: picking best candidate 5.280 * * * * [pick]: Picked # 5.280 * * * [progress]: localizing error 5.293 * * * [progress]: generating rewritten candidates 5.293 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 5.723 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 5.735 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 5.778 * * * [progress]: generating series expansions 5.778 * * * * [progress]: [ 1 / 3 ] generating series at (2) 5.778 * [backup-simplify]: Simplify (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) into (+ (* 3 (pow y 2)) (pow x 2)) 5.778 * [approximate]: Taking taylor expansion of (+ (* 3 (pow y 2)) (pow x 2)) in (x y) around 0 5.778 * [taylor]: Taking taylor expansion of (+ (* 3 (pow y 2)) (pow x 2)) in y 5.778 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 5.778 * [taylor]: Taking taylor expansion of 3 in y 5.778 * [backup-simplify]: Simplify 3 into 3 5.778 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.778 * [taylor]: Taking taylor expansion of y in y 5.778 * [backup-simplify]: Simplify 0 into 0 5.778 * [backup-simplify]: Simplify 1 into 1 5.778 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.778 * [taylor]: Taking taylor expansion of x in y 5.778 * [backup-simplify]: Simplify x into x 5.779 * [taylor]: Taking taylor expansion of (+ (* 3 (pow y 2)) (pow x 2)) in x 5.779 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 5.779 * [taylor]: Taking taylor expansion of 3 in x 5.779 * [backup-simplify]: Simplify 3 into 3 5.779 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.779 * [taylor]: Taking taylor expansion of y in x 5.779 * [backup-simplify]: Simplify y into y 5.779 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.779 * [taylor]: Taking taylor expansion of x in x 5.779 * [backup-simplify]: Simplify 0 into 0 5.779 * [backup-simplify]: Simplify 1 into 1 5.779 * [taylor]: Taking taylor expansion of (+ (* 3 (pow y 2)) (pow x 2)) in x 5.779 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 5.779 * [taylor]: Taking taylor expansion of 3 in x 5.779 * [backup-simplify]: Simplify 3 into 3 5.779 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.779 * [taylor]: Taking taylor expansion of y in x 5.779 * [backup-simplify]: Simplify y into y 5.779 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.779 * [taylor]: Taking taylor expansion of x in x 5.779 * [backup-simplify]: Simplify 0 into 0 5.779 * [backup-simplify]: Simplify 1 into 1 5.779 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.779 * [backup-simplify]: Simplify (* 3 (pow y 2)) into (* 3 (pow y 2)) 5.779 * [backup-simplify]: Simplify (+ (* 3 (pow y 2)) 0) into (* 3 (pow y 2)) 5.779 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 5.779 * [taylor]: Taking taylor expansion of 3 in y 5.779 * [backup-simplify]: Simplify 3 into 3 5.780 * [taylor]: Taking taylor expansion of (pow y 2) 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 5.780 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.780 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (pow y 2))) into 0 5.781 * [backup-simplify]: Simplify (+ 0 0) into 0 5.781 * [taylor]: Taking taylor expansion of 0 in y 5.781 * [backup-simplify]: Simplify 0 into 0 5.781 * [backup-simplify]: Simplify 0 into 0 5.781 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 5.782 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 5.783 * [backup-simplify]: Simplify (* 1 1) into 1 5.783 * [backup-simplify]: Simplify (+ 0 1) into 1 5.783 * [taylor]: Taking taylor expansion of 1 in y 5.783 * [backup-simplify]: Simplify 1 into 1 5.783 * [backup-simplify]: Simplify 1 into 1 5.783 * [backup-simplify]: Simplify 0 into 0 5.783 * [backup-simplify]: Simplify (* 1 1) into 1 5.784 * [backup-simplify]: Simplify (* 3 1) into 3 5.784 * [backup-simplify]: Simplify 3 into 3 5.785 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 5.786 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 5.786 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.787 * [backup-simplify]: Simplify (+ 0 0) into 0 5.787 * [taylor]: Taking taylor expansion of 0 in y 5.787 * [backup-simplify]: Simplify 0 into 0 5.787 * [backup-simplify]: Simplify 0 into 0 5.787 * [backup-simplify]: Simplify 0 into 0 5.787 * [backup-simplify]: Simplify 0 into 0 5.787 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.788 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 5.788 * [backup-simplify]: Simplify 0 into 0 5.789 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 5.791 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 5.791 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.792 * [backup-simplify]: Simplify (+ 0 0) into 0 5.792 * [taylor]: Taking taylor expansion of 0 in y 5.792 * [backup-simplify]: Simplify 0 into 0 5.792 * [backup-simplify]: Simplify 0 into 0 5.792 * [backup-simplify]: Simplify 0 into 0 5.792 * [backup-simplify]: Simplify (+ (* 3 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (* 3 (pow y 2)) (pow x 2)) 5.793 * [backup-simplify]: Simplify (+ (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 y) (/ 1 y))) (* (/ 1 y) (/ 1 y))) into (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 5.793 * [approximate]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in (x y) around 0 5.793 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 5.793 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 5.793 * [taylor]: Taking taylor expansion of 3 in y 5.793 * [backup-simplify]: Simplify 3 into 3 5.793 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.793 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.793 * [taylor]: Taking taylor expansion of y in y 5.793 * [backup-simplify]: Simplify 0 into 0 5.793 * [backup-simplify]: Simplify 1 into 1 5.794 * [backup-simplify]: Simplify (* 1 1) into 1 5.794 * [backup-simplify]: Simplify (/ 1 1) into 1 5.794 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.794 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.794 * [taylor]: Taking taylor expansion of x in y 5.794 * [backup-simplify]: Simplify x into x 5.794 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.794 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.794 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 5.794 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 5.794 * [taylor]: Taking taylor expansion of 3 in x 5.794 * [backup-simplify]: Simplify 3 into 3 5.794 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.794 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.794 * [taylor]: Taking taylor expansion of y in x 5.794 * [backup-simplify]: Simplify y into y 5.794 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.795 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.795 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.795 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.795 * [taylor]: Taking taylor expansion of x in x 5.795 * [backup-simplify]: Simplify 0 into 0 5.795 * [backup-simplify]: Simplify 1 into 1 5.795 * [backup-simplify]: Simplify (* 1 1) into 1 5.795 * [backup-simplify]: Simplify (/ 1 1) into 1 5.795 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 5.795 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 5.796 * [taylor]: Taking taylor expansion of 3 in x 5.796 * [backup-simplify]: Simplify 3 into 3 5.796 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.796 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.796 * [taylor]: Taking taylor expansion of y in x 5.796 * [backup-simplify]: Simplify y into y 5.796 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.796 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.796 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.796 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.796 * [taylor]: Taking taylor expansion of x in x 5.796 * [backup-simplify]: Simplify 0 into 0 5.796 * [backup-simplify]: Simplify 1 into 1 5.796 * [backup-simplify]: Simplify (* 1 1) into 1 5.797 * [backup-simplify]: Simplify (/ 1 1) into 1 5.797 * [backup-simplify]: Simplify (+ 0 1) into 1 5.797 * [taylor]: Taking taylor expansion of 1 in y 5.797 * [backup-simplify]: Simplify 1 into 1 5.798 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.799 * [backup-simplify]: Simplify (+ 0 0) into 0 5.799 * [taylor]: Taking taylor expansion of 0 in y 5.799 * [backup-simplify]: Simplify 0 into 0 5.799 * [backup-simplify]: Simplify (* 3 (/ 1 (pow y 2))) into (/ 3 (pow y 2)) 5.800 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.801 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.801 * [backup-simplify]: Simplify (+ (/ 3 (pow y 2)) 0) into (* 3 (/ 1 (pow y 2))) 5.801 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 5.801 * [taylor]: Taking taylor expansion of 3 in y 5.801 * [backup-simplify]: Simplify 3 into 3 5.801 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.801 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.801 * [taylor]: Taking taylor expansion of y in y 5.801 * [backup-simplify]: Simplify 0 into 0 5.801 * [backup-simplify]: Simplify 1 into 1 5.802 * [backup-simplify]: Simplify (* 1 1) into 1 5.802 * [backup-simplify]: Simplify (/ 1 1) into 1 5.802 * [backup-simplify]: Simplify (* 3 1) into 3 5.802 * [backup-simplify]: Simplify 3 into 3 5.802 * [backup-simplify]: Simplify 1 into 1 5.803 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.803 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 5.803 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (/ 1 (pow y 2)))) into 0 5.804 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.806 * [backup-simplify]: Simplify (+ 0 0) into 0 5.806 * [taylor]: Taking taylor expansion of 0 in y 5.806 * [backup-simplify]: Simplify 0 into 0 5.806 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.807 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 5.808 * [backup-simplify]: Simplify 0 into 0 5.808 * [backup-simplify]: Simplify 0 into 0 5.808 * [backup-simplify]: Simplify 0 into 0 5.808 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 5.809 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 5.810 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 5.811 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.812 * [backup-simplify]: Simplify (+ 0 0) into 0 5.812 * [taylor]: Taking taylor expansion of 0 in y 5.812 * [backup-simplify]: Simplify 0 into 0 5.813 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.815 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 5.815 * [backup-simplify]: Simplify 0 into 0 5.815 * [backup-simplify]: Simplify 0 into 0 5.815 * [backup-simplify]: Simplify 0 into 0 5.815 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 3 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (* 3 (pow y 2)) (pow x 2)) 5.816 * [backup-simplify]: Simplify (+ (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 5.816 * [approximate]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in (x y) around 0 5.816 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 5.816 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 5.816 * [taylor]: Taking taylor expansion of 3 in y 5.816 * [backup-simplify]: Simplify 3 into 3 5.816 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.816 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.816 * [taylor]: Taking taylor expansion of y in y 5.816 * [backup-simplify]: Simplify 0 into 0 5.816 * [backup-simplify]: Simplify 1 into 1 5.817 * [backup-simplify]: Simplify (* 1 1) into 1 5.817 * [backup-simplify]: Simplify (/ 1 1) into 1 5.817 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.817 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.817 * [taylor]: Taking taylor expansion of x in y 5.817 * [backup-simplify]: Simplify x into x 5.817 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.817 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.817 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 5.817 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 5.817 * [taylor]: Taking taylor expansion of 3 in x 5.817 * [backup-simplify]: Simplify 3 into 3 5.817 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.817 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.817 * [taylor]: Taking taylor expansion of y in x 5.818 * [backup-simplify]: Simplify y into y 5.818 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.818 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.818 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.818 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.818 * [taylor]: Taking taylor expansion of x in x 5.818 * [backup-simplify]: Simplify 0 into 0 5.818 * [backup-simplify]: Simplify 1 into 1 5.818 * [backup-simplify]: Simplify (* 1 1) into 1 5.819 * [backup-simplify]: Simplify (/ 1 1) into 1 5.819 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 5.819 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 5.819 * [taylor]: Taking taylor expansion of 3 in x 5.819 * [backup-simplify]: Simplify 3 into 3 5.819 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.819 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.819 * [taylor]: Taking taylor expansion of y in x 5.819 * [backup-simplify]: Simplify y into y 5.819 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.819 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.819 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.819 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.819 * [taylor]: Taking taylor expansion of x in x 5.819 * [backup-simplify]: Simplify 0 into 0 5.819 * [backup-simplify]: Simplify 1 into 1 5.819 * [backup-simplify]: Simplify (* 1 1) into 1 5.820 * [backup-simplify]: Simplify (/ 1 1) into 1 5.820 * [backup-simplify]: Simplify (+ 0 1) into 1 5.820 * [taylor]: Taking taylor expansion of 1 in y 5.820 * [backup-simplify]: Simplify 1 into 1 5.821 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.822 * [backup-simplify]: Simplify (+ 0 0) into 0 5.822 * [taylor]: Taking taylor expansion of 0 in y 5.822 * [backup-simplify]: Simplify 0 into 0 5.823 * [backup-simplify]: Simplify (* 3 (/ 1 (pow y 2))) into (/ 3 (pow y 2)) 5.823 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.828 * [backup-simplify]: Simplify (+ (/ 3 (pow y 2)) 0) into (* 3 (/ 1 (pow y 2))) 5.828 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 5.828 * [taylor]: Taking taylor expansion of 3 in y 5.828 * [backup-simplify]: Simplify 3 into 3 5.828 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.828 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.828 * [taylor]: Taking taylor expansion of y in y 5.828 * [backup-simplify]: Simplify 0 into 0 5.828 * [backup-simplify]: Simplify 1 into 1 5.828 * [backup-simplify]: Simplify (* 1 1) into 1 5.829 * [backup-simplify]: Simplify (/ 1 1) into 1 5.829 * [backup-simplify]: Simplify (* 3 1) into 3 5.829 * [backup-simplify]: Simplify 3 into 3 5.829 * [backup-simplify]: Simplify 1 into 1 5.829 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.830 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 5.830 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (/ 1 (pow y 2)))) into 0 5.831 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.832 * [backup-simplify]: Simplify (+ 0 0) into 0 5.832 * [taylor]: Taking taylor expansion of 0 in y 5.833 * [backup-simplify]: Simplify 0 into 0 5.833 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.835 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 5.835 * [backup-simplify]: Simplify 0 into 0 5.835 * [backup-simplify]: Simplify 0 into 0 5.835 * [backup-simplify]: Simplify 0 into 0 5.835 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 5.836 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 5.837 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 5.838 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.839 * [backup-simplify]: Simplify (+ 0 0) into 0 5.839 * [taylor]: Taking taylor expansion of 0 in y 5.839 * [backup-simplify]: Simplify 0 into 0 5.840 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.842 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 5.842 * [backup-simplify]: Simplify 0 into 0 5.842 * [backup-simplify]: Simplify 0 into 0 5.842 * [backup-simplify]: Simplify 0 into 0 5.843 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 3 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (* 3 (pow y 2)) (pow x 2)) 5.843 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 5.843 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow y 2) (pow x 2)) 5.843 * [approximate]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in (x y) around 0 5.843 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 5.843 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.843 * [taylor]: Taking taylor expansion of y in y 5.843 * [backup-simplify]: Simplify 0 into 0 5.843 * [backup-simplify]: Simplify 1 into 1 5.843 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.843 * [taylor]: Taking taylor expansion of x in y 5.843 * [backup-simplify]: Simplify x into x 5.843 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 5.843 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.843 * [taylor]: Taking taylor expansion of y in x 5.843 * [backup-simplify]: Simplify y into y 5.843 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.843 * [taylor]: Taking taylor expansion of x in x 5.843 * [backup-simplify]: Simplify 0 into 0 5.843 * [backup-simplify]: Simplify 1 into 1 5.843 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 5.843 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.843 * [taylor]: Taking taylor expansion of y in x 5.843 * [backup-simplify]: Simplify y into y 5.843 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.843 * [taylor]: Taking taylor expansion of x in x 5.843 * [backup-simplify]: Simplify 0 into 0 5.843 * [backup-simplify]: Simplify 1 into 1 5.844 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.844 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 5.844 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.844 * [taylor]: Taking taylor expansion of y in y 5.844 * [backup-simplify]: Simplify 0 into 0 5.844 * [backup-simplify]: Simplify 1 into 1 5.844 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.844 * [backup-simplify]: Simplify (+ 0 0) into 0 5.844 * [taylor]: Taking taylor expansion of 0 in y 5.844 * [backup-simplify]: Simplify 0 into 0 5.844 * [backup-simplify]: Simplify 0 into 0 5.845 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 5.845 * [backup-simplify]: Simplify (* 1 1) into 1 5.846 * [backup-simplify]: Simplify (+ 0 1) into 1 5.846 * [taylor]: Taking taylor expansion of 1 in y 5.846 * [backup-simplify]: Simplify 1 into 1 5.846 * [backup-simplify]: Simplify 1 into 1 5.846 * [backup-simplify]: Simplify 0 into 0 5.846 * [backup-simplify]: Simplify (* 1 1) into 1 5.846 * [backup-simplify]: Simplify 1 into 1 5.847 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 5.848 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.848 * [backup-simplify]: Simplify (+ 0 0) into 0 5.848 * [taylor]: Taking taylor expansion of 0 in y 5.848 * [backup-simplify]: Simplify 0 into 0 5.848 * [backup-simplify]: Simplify 0 into 0 5.848 * [backup-simplify]: Simplify 0 into 0 5.848 * [backup-simplify]: Simplify 0 into 0 5.849 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.849 * [backup-simplify]: Simplify 0 into 0 5.850 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 5.851 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.851 * [backup-simplify]: Simplify (+ 0 0) into 0 5.851 * [taylor]: Taking taylor expansion of 0 in y 5.851 * [backup-simplify]: Simplify 0 into 0 5.851 * [backup-simplify]: Simplify 0 into 0 5.851 * [backup-simplify]: Simplify 0 into 0 5.852 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow y 2) (pow x 2)) 5.852 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 5.852 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0 5.852 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 5.852 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.852 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.852 * [taylor]: Taking taylor expansion of y in y 5.852 * [backup-simplify]: Simplify 0 into 0 5.852 * [backup-simplify]: Simplify 1 into 1 5.852 * [backup-simplify]: Simplify (* 1 1) into 1 5.853 * [backup-simplify]: Simplify (/ 1 1) into 1 5.853 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.853 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.853 * [taylor]: Taking taylor expansion of x in y 5.853 * [backup-simplify]: Simplify x into x 5.853 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.853 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.853 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 5.853 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.853 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.853 * [taylor]: Taking taylor expansion of y in x 5.853 * [backup-simplify]: Simplify y into y 5.853 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.853 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.853 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.853 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.853 * [taylor]: Taking taylor expansion of x in x 5.854 * [backup-simplify]: Simplify 0 into 0 5.854 * [backup-simplify]: Simplify 1 into 1 5.854 * [backup-simplify]: Simplify (* 1 1) into 1 5.854 * [backup-simplify]: Simplify (/ 1 1) into 1 5.854 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 5.854 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.854 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.854 * [taylor]: Taking taylor expansion of y in x 5.854 * [backup-simplify]: Simplify y into y 5.854 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.855 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.855 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.855 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.855 * [taylor]: Taking taylor expansion of x in x 5.855 * [backup-simplify]: Simplify 0 into 0 5.855 * [backup-simplify]: Simplify 1 into 1 5.855 * [backup-simplify]: Simplify (* 1 1) into 1 5.855 * [backup-simplify]: Simplify (/ 1 1) into 1 5.856 * [backup-simplify]: Simplify (+ 0 1) into 1 5.856 * [taylor]: Taking taylor expansion of 1 in y 5.856 * [backup-simplify]: Simplify 1 into 1 5.857 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.858 * [backup-simplify]: Simplify (+ 0 0) into 0 5.858 * [taylor]: Taking taylor expansion of 0 in y 5.858 * [backup-simplify]: Simplify 0 into 0 5.859 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.860 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 5.860 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.860 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.860 * [taylor]: Taking taylor expansion of y in y 5.860 * [backup-simplify]: Simplify 0 into 0 5.860 * [backup-simplify]: Simplify 1 into 1 5.860 * [backup-simplify]: Simplify (* 1 1) into 1 5.860 * [backup-simplify]: Simplify (/ 1 1) into 1 5.861 * [backup-simplify]: Simplify 1 into 1 5.861 * [backup-simplify]: Simplify 1 into 1 5.861 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.861 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 5.862 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.863 * [backup-simplify]: Simplify (+ 0 0) into 0 5.863 * [taylor]: Taking taylor expansion of 0 in y 5.863 * [backup-simplify]: Simplify 0 into 0 5.864 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.865 * [backup-simplify]: Simplify 0 into 0 5.865 * [backup-simplify]: Simplify 0 into 0 5.865 * [backup-simplify]: Simplify 0 into 0 5.865 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 5.866 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 5.867 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.868 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.868 * [backup-simplify]: Simplify (+ 0 0) into 0 5.868 * [taylor]: Taking taylor expansion of 0 in y 5.868 * [backup-simplify]: Simplify 0 into 0 5.869 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.870 * [backup-simplify]: Simplify 0 into 0 5.870 * [backup-simplify]: Simplify 0 into 0 5.870 * [backup-simplify]: Simplify 0 into 0 5.870 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (pow x 2)) 5.871 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 5.871 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0 5.871 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 5.871 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.871 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.871 * [taylor]: Taking taylor expansion of y in y 5.871 * [backup-simplify]: Simplify 0 into 0 5.871 * [backup-simplify]: Simplify 1 into 1 5.871 * [backup-simplify]: Simplify (* 1 1) into 1 5.872 * [backup-simplify]: Simplify (/ 1 1) into 1 5.872 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.872 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.872 * [taylor]: Taking taylor expansion of x in y 5.872 * [backup-simplify]: Simplify x into x 5.872 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.872 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.872 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 5.872 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.872 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.872 * [taylor]: Taking taylor expansion of y in x 5.872 * [backup-simplify]: Simplify y into y 5.873 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.873 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.873 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.873 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.873 * [taylor]: Taking taylor expansion of x in x 5.873 * [backup-simplify]: Simplify 0 into 0 5.873 * [backup-simplify]: Simplify 1 into 1 5.873 * [backup-simplify]: Simplify (* 1 1) into 1 5.874 * [backup-simplify]: Simplify (/ 1 1) into 1 5.874 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 5.874 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.874 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.874 * [taylor]: Taking taylor expansion of y in x 5.874 * [backup-simplify]: Simplify y into y 5.874 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.874 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.874 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.874 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.874 * [taylor]: Taking taylor expansion of x in x 5.874 * [backup-simplify]: Simplify 0 into 0 5.874 * [backup-simplify]: Simplify 1 into 1 5.874 * [backup-simplify]: Simplify (* 1 1) into 1 5.875 * [backup-simplify]: Simplify (/ 1 1) into 1 5.875 * [backup-simplify]: Simplify (+ 0 1) into 1 5.875 * [taylor]: Taking taylor expansion of 1 in y 5.875 * [backup-simplify]: Simplify 1 into 1 5.876 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.877 * [backup-simplify]: Simplify (+ 0 0) into 0 5.877 * [taylor]: Taking taylor expansion of 0 in y 5.877 * [backup-simplify]: Simplify 0 into 0 5.878 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.879 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.879 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 5.879 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.879 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.879 * [taylor]: Taking taylor expansion of y in y 5.879 * [backup-simplify]: Simplify 0 into 0 5.879 * [backup-simplify]: Simplify 1 into 1 5.879 * [backup-simplify]: Simplify (* 1 1) into 1 5.880 * [backup-simplify]: Simplify (/ 1 1) into 1 5.880 * [backup-simplify]: Simplify 1 into 1 5.880 * [backup-simplify]: Simplify 1 into 1 5.880 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.880 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 5.881 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.883 * [backup-simplify]: Simplify (+ 0 0) into 0 5.883 * [taylor]: Taking taylor expansion of 0 in y 5.883 * [backup-simplify]: Simplify 0 into 0 5.883 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.884 * [backup-simplify]: Simplify 0 into 0 5.884 * [backup-simplify]: Simplify 0 into 0 5.884 * [backup-simplify]: Simplify 0 into 0 5.884 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 5.885 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 5.885 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.886 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.886 * [backup-simplify]: Simplify (+ 0 0) into 0 5.886 * [taylor]: Taking taylor expansion of 0 in y 5.886 * [backup-simplify]: Simplify 0 into 0 5.887 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.887 * [backup-simplify]: Simplify 0 into 0 5.887 * [backup-simplify]: Simplify 0 into 0 5.887 * [backup-simplify]: Simplify 0 into 0 5.888 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (pow x 2)) 5.888 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 5.888 * [backup-simplify]: Simplify (+ (+ (* x x) (* y y)) (* y y)) into (+ (* 2 (pow y 2)) (pow x 2)) 5.888 * [approximate]: Taking taylor expansion of (+ (* 2 (pow y 2)) (pow x 2)) in (x y) around 0 5.888 * [taylor]: Taking taylor expansion of (+ (* 2 (pow y 2)) (pow x 2)) in y 5.888 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 5.888 * [taylor]: Taking taylor expansion of 2 in y 5.888 * [backup-simplify]: Simplify 2 into 2 5.888 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.888 * [taylor]: Taking taylor expansion of y in y 5.888 * [backup-simplify]: Simplify 0 into 0 5.888 * [backup-simplify]: Simplify 1 into 1 5.888 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.888 * [taylor]: Taking taylor expansion of x in y 5.888 * [backup-simplify]: Simplify x into x 5.888 * [taylor]: Taking taylor expansion of (+ (* 2 (pow y 2)) (pow x 2)) in x 5.888 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 5.888 * [taylor]: Taking taylor expansion of 2 in x 5.888 * [backup-simplify]: Simplify 2 into 2 5.888 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.888 * [taylor]: Taking taylor expansion of y in x 5.888 * [backup-simplify]: Simplify y into y 5.888 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.888 * [taylor]: Taking taylor expansion of x in x 5.888 * [backup-simplify]: Simplify 0 into 0 5.888 * [backup-simplify]: Simplify 1 into 1 5.888 * [taylor]: Taking taylor expansion of (+ (* 2 (pow y 2)) (pow x 2)) in x 5.888 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 5.888 * [taylor]: Taking taylor expansion of 2 in x 5.888 * [backup-simplify]: Simplify 2 into 2 5.888 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.888 * [taylor]: Taking taylor expansion of y in x 5.888 * [backup-simplify]: Simplify y into y 5.888 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.888 * [taylor]: Taking taylor expansion of x in x 5.888 * [backup-simplify]: Simplify 0 into 0 5.888 * [backup-simplify]: Simplify 1 into 1 5.888 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.889 * [backup-simplify]: Simplify (* 2 (pow y 2)) into (* 2 (pow y 2)) 5.889 * [backup-simplify]: Simplify (+ (* 2 (pow y 2)) 0) into (* 2 (pow y 2)) 5.889 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 5.889 * [taylor]: Taking taylor expansion of 2 in y 5.889 * [backup-simplify]: Simplify 2 into 2 5.889 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.889 * [taylor]: Taking taylor expansion of y in y 5.889 * [backup-simplify]: Simplify 0 into 0 5.889 * [backup-simplify]: Simplify 1 into 1 5.889 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.889 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow y 2))) into 0 5.889 * [backup-simplify]: Simplify (+ 0 0) into 0 5.889 * [taylor]: Taking taylor expansion of 0 in y 5.889 * [backup-simplify]: Simplify 0 into 0 5.889 * [backup-simplify]: Simplify 0 into 0 5.890 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 5.890 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 5.891 * [backup-simplify]: Simplify (* 1 1) into 1 5.891 * [backup-simplify]: Simplify (+ 0 1) into 1 5.891 * [taylor]: Taking taylor expansion of 1 in y 5.891 * [backup-simplify]: Simplify 1 into 1 5.891 * [backup-simplify]: Simplify 1 into 1 5.891 * [backup-simplify]: Simplify 0 into 0 5.891 * [backup-simplify]: Simplify (* 1 1) into 1 5.891 * [backup-simplify]: Simplify (* 2 1) into 2 5.891 * [backup-simplify]: Simplify 2 into 2 5.892 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 5.893 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 5.893 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.893 * [backup-simplify]: Simplify (+ 0 0) into 0 5.893 * [taylor]: Taking taylor expansion of 0 in y 5.893 * [backup-simplify]: Simplify 0 into 0 5.893 * [backup-simplify]: Simplify 0 into 0 5.893 * [backup-simplify]: Simplify 0 into 0 5.893 * [backup-simplify]: Simplify 0 into 0 5.894 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.894 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.894 * [backup-simplify]: Simplify 0 into 0 5.895 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 5.896 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 5.896 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.897 * [backup-simplify]: Simplify (+ 0 0) into 0 5.897 * [taylor]: Taking taylor expansion of 0 in y 5.897 * [backup-simplify]: Simplify 0 into 0 5.897 * [backup-simplify]: Simplify 0 into 0 5.897 * [backup-simplify]: Simplify 0 into 0 5.897 * [backup-simplify]: Simplify (+ (* 2 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (* 2 (pow y 2)) (pow x 2)) 5.897 * [backup-simplify]: Simplify (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 y) (/ 1 y))) into (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 5.897 * [approximate]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in (x y) around 0 5.897 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 5.897 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 5.897 * [taylor]: Taking taylor expansion of 2 in y 5.897 * [backup-simplify]: Simplify 2 into 2 5.897 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.897 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.897 * [taylor]: Taking taylor expansion of y in y 5.897 * [backup-simplify]: Simplify 0 into 0 5.897 * [backup-simplify]: Simplify 1 into 1 5.898 * [backup-simplify]: Simplify (* 1 1) into 1 5.898 * [backup-simplify]: Simplify (/ 1 1) into 1 5.898 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.898 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.898 * [taylor]: Taking taylor expansion of x in y 5.898 * [backup-simplify]: Simplify x into x 5.898 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.898 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.898 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 5.898 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 5.898 * [taylor]: Taking taylor expansion of 2 in x 5.898 * [backup-simplify]: Simplify 2 into 2 5.898 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.898 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.898 * [taylor]: Taking taylor expansion of y in x 5.898 * [backup-simplify]: Simplify y into y 5.898 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.898 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.898 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.898 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.898 * [taylor]: Taking taylor expansion of x in x 5.898 * [backup-simplify]: Simplify 0 into 0 5.898 * [backup-simplify]: Simplify 1 into 1 5.899 * [backup-simplify]: Simplify (* 1 1) into 1 5.899 * [backup-simplify]: Simplify (/ 1 1) into 1 5.899 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 5.899 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 5.899 * [taylor]: Taking taylor expansion of 2 in x 5.899 * [backup-simplify]: Simplify 2 into 2 5.899 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.899 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.899 * [taylor]: Taking taylor expansion of y in x 5.899 * [backup-simplify]: Simplify y into y 5.899 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.899 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.899 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.899 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.899 * [taylor]: Taking taylor expansion of x in x 5.899 * [backup-simplify]: Simplify 0 into 0 5.899 * [backup-simplify]: Simplify 1 into 1 5.899 * [backup-simplify]: Simplify (* 1 1) into 1 5.900 * [backup-simplify]: Simplify (/ 1 1) into 1 5.900 * [backup-simplify]: Simplify (+ 0 1) into 1 5.900 * [taylor]: Taking taylor expansion of 1 in y 5.900 * [backup-simplify]: Simplify 1 into 1 5.900 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.901 * [backup-simplify]: Simplify (+ 0 0) into 0 5.901 * [taylor]: Taking taylor expansion of 0 in y 5.901 * [backup-simplify]: Simplify 0 into 0 5.901 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2)) 5.902 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.902 * [backup-simplify]: Simplify (+ (/ 2 (pow y 2)) 0) into (* 2 (/ 1 (pow y 2))) 5.902 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 5.902 * [taylor]: Taking taylor expansion of 2 in y 5.902 * [backup-simplify]: Simplify 2 into 2 5.902 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.902 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.902 * [taylor]: Taking taylor expansion of y in y 5.902 * [backup-simplify]: Simplify 0 into 0 5.902 * [backup-simplify]: Simplify 1 into 1 5.903 * [backup-simplify]: Simplify (* 1 1) into 1 5.903 * [backup-simplify]: Simplify (/ 1 1) into 1 5.903 * [backup-simplify]: Simplify (* 2 1) into 2 5.903 * [backup-simplify]: Simplify 2 into 2 5.903 * [backup-simplify]: Simplify 1 into 1 5.903 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.903 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 5.904 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0 5.904 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.905 * [backup-simplify]: Simplify (+ 0 0) into 0 5.905 * [taylor]: Taking taylor expansion of 0 in y 5.905 * [backup-simplify]: Simplify 0 into 0 5.906 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.906 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.907 * [backup-simplify]: Simplify 0 into 0 5.907 * [backup-simplify]: Simplify 0 into 0 5.907 * [backup-simplify]: Simplify 0 into 0 5.907 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 5.907 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 5.908 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 5.908 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.909 * [backup-simplify]: Simplify (+ 0 0) into 0 5.909 * [taylor]: Taking taylor expansion of 0 in y 5.909 * [backup-simplify]: Simplify 0 into 0 5.910 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.911 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.911 * [backup-simplify]: Simplify 0 into 0 5.911 * [backup-simplify]: Simplify 0 into 0 5.911 * [backup-simplify]: Simplify 0 into 0 5.911 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 2 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (* 2 (pow y 2)) (pow x 2)) 5.911 * [backup-simplify]: Simplify (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 5.911 * [approximate]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in (x y) around 0 5.911 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 5.911 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 5.911 * [taylor]: Taking taylor expansion of 2 in y 5.911 * [backup-simplify]: Simplify 2 into 2 5.912 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.912 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.912 * [taylor]: Taking taylor expansion of y in y 5.912 * [backup-simplify]: Simplify 0 into 0 5.912 * [backup-simplify]: Simplify 1 into 1 5.912 * [backup-simplify]: Simplify (* 1 1) into 1 5.912 * [backup-simplify]: Simplify (/ 1 1) into 1 5.912 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 5.912 * [taylor]: Taking taylor expansion of (pow x 2) in y 5.912 * [taylor]: Taking taylor expansion of x in y 5.912 * [backup-simplify]: Simplify x into x 5.912 * [backup-simplify]: Simplify (* x x) into (pow x 2) 5.913 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 5.913 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 5.913 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 5.913 * [taylor]: Taking taylor expansion of 2 in x 5.913 * [backup-simplify]: Simplify 2 into 2 5.913 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.913 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.913 * [taylor]: Taking taylor expansion of y in x 5.913 * [backup-simplify]: Simplify y into y 5.913 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.913 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.913 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.913 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.913 * [taylor]: Taking taylor expansion of x in x 5.913 * [backup-simplify]: Simplify 0 into 0 5.913 * [backup-simplify]: Simplify 1 into 1 5.913 * [backup-simplify]: Simplify (* 1 1) into 1 5.914 * [backup-simplify]: Simplify (/ 1 1) into 1 5.914 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 5.914 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 5.914 * [taylor]: Taking taylor expansion of 2 in x 5.914 * [backup-simplify]: Simplify 2 into 2 5.914 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 5.914 * [taylor]: Taking taylor expansion of (pow y 2) in x 5.914 * [taylor]: Taking taylor expansion of y in x 5.914 * [backup-simplify]: Simplify y into y 5.914 * [backup-simplify]: Simplify (* y y) into (pow y 2) 5.914 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 5.914 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 5.914 * [taylor]: Taking taylor expansion of (pow x 2) in x 5.914 * [taylor]: Taking taylor expansion of x in x 5.914 * [backup-simplify]: Simplify 0 into 0 5.914 * [backup-simplify]: Simplify 1 into 1 5.915 * [backup-simplify]: Simplify (* 1 1) into 1 5.915 * [backup-simplify]: Simplify (/ 1 1) into 1 5.916 * [backup-simplify]: Simplify (+ 0 1) into 1 5.916 * [taylor]: Taking taylor expansion of 1 in y 5.916 * [backup-simplify]: Simplify 1 into 1 5.916 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.917 * [backup-simplify]: Simplify (+ 0 0) into 0 5.917 * [taylor]: Taking taylor expansion of 0 in y 5.917 * [backup-simplify]: Simplify 0 into 0 5.918 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2)) 5.918 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.920 * [backup-simplify]: Simplify (+ (/ 2 (pow y 2)) 0) into (* 2 (/ 1 (pow y 2))) 5.920 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 5.920 * [taylor]: Taking taylor expansion of 2 in y 5.920 * [backup-simplify]: Simplify 2 into 2 5.920 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 5.920 * [taylor]: Taking taylor expansion of (pow y 2) in y 5.920 * [taylor]: Taking taylor expansion of y in y 5.920 * [backup-simplify]: Simplify 0 into 0 5.920 * [backup-simplify]: Simplify 1 into 1 5.920 * [backup-simplify]: Simplify (* 1 1) into 1 5.921 * [backup-simplify]: Simplify (/ 1 1) into 1 5.921 * [backup-simplify]: Simplify (* 2 1) into 2 5.921 * [backup-simplify]: Simplify 2 into 2 5.921 * [backup-simplify]: Simplify 1 into 1 5.921 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 5.922 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 5.922 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0 5.923 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.924 * [backup-simplify]: Simplify (+ 0 0) into 0 5.924 * [taylor]: Taking taylor expansion of 0 in y 5.924 * [backup-simplify]: Simplify 0 into 0 5.925 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 5.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 5.927 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 5.927 * [backup-simplify]: Simplify 0 into 0 5.927 * [backup-simplify]: Simplify 0 into 0 5.927 * [backup-simplify]: Simplify 0 into 0 5.927 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 5.928 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 5.929 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 5.930 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.931 * [backup-simplify]: Simplify (+ 0 0) into 0 5.931 * [taylor]: Taking taylor expansion of 0 in y 5.931 * [backup-simplify]: Simplify 0 into 0 5.932 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.934 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 5.934 * [backup-simplify]: Simplify 0 into 0 5.934 * [backup-simplify]: Simplify 0 into 0 5.934 * [backup-simplify]: Simplify 0 into 0 5.935 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 2 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (* 2 (pow y 2)) (pow x 2)) 5.935 * * * [progress]: simplifying candidates 5.936 * [simplify]: Simplifying: (* (* (* (exp (* x x)) (exp (* y y))) (exp (* y y))) (exp (* y y))) (* (* (exp (+ (* x x) (* y y))) (exp (* y y))) (exp (* y y))) (* (exp (+ (+ (* x x) (* y y)) (* y y))) (exp (* y y))) (log (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (exp (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (* (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (cbrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (* (* (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (sqrt (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))) (+ (pow (+ (+ (* x x) (* y y)) (* y y)) 3) (pow (* y y) 3)) (+ (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (- (* (* y y) (* y y)) (* (+ (+ (* x x) (* y y)) (* y y)) (* y y)))) (- (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (* (* y y) (* y y))) (- (+ (+ (* x x) (* y y)) (* y y)) (* y y)) (+ (* y y) (* y y)) (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) (* (* (exp (* x x)) (exp (* y y))) (exp (* y y))) (* (exp (+ (* x x) (* y y))) (exp (* y y))) (log (+ (+ (* x x) (* y y)) (* y y))) (exp (+ (+ (* x x) (* y y)) (* y y))) (* (cbrt (+ (+ (* x x) (* y y)) (* y y))) (cbrt (+ (+ (* x x) (* y y)) (* y y)))) (cbrt (+ (+ (* x x) (* y y)) (* y y))) (* (* (+ (+ (* x x) (* y y)) (* y y)) (+ (+ (* x x) (* y y)) (* y y))) (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (+ (pow (+ (* x x) (* y y)) 3) (pow (* y y) 3)) (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* y y)) (* y y)))) (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* y y) (* y y))) (- (+ (* x x) (* y y)) (* y y)) (+ (* y y) (* y y)) (+ (* 3 (pow y 2)) (pow x 2)) (+ (* 3 (pow y 2)) (pow x 2)) (+ (* 3 (pow y 2)) (pow x 2)) (+ (pow y 2) (pow x 2)) (+ (pow y 2) (pow x 2)) (+ (pow y 2) (pow x 2)) (+ (* 2 (pow y 2)) (pow x 2)) (+ (* 2 (pow y 2)) (pow x 2)) (+ (* 2 (pow y 2)) (pow x 2)) 5.937 * * [simplify]: iteration 0: 70 enodes 5.969 * * [simplify]: iteration 1: 227 enodes 6.102 * * [simplify]: iteration 2: 919 enodes 6.429 * * [simplify]: iteration complete: 5000 enodes 6.430 * * [simplify]: Extracting #0: cost 34 inf + 0 6.431 * * [simplify]: Extracting #1: cost 338 inf + 0 6.435 * * [simplify]: Extracting #2: cost 1432 inf + 418 6.456 * * [simplify]: Extracting #3: cost 2021 inf + 63370 6.572 * * [simplify]: Extracting #4: cost 665 inf + 401389 6.674 * * [simplify]: Extracting #5: cost 39 inf + 556596 6.816 * * [simplify]: Extracting #6: cost 7 inf + 562019 6.980 * * [simplify]: Extracting #7: cost 0 inf + 564070 7.134 * [simplify]: Simplified to: (exp (+ (* y y) (+ (+ (* y y) (* x x)) (* y y)))) (exp (+ (* y y) (+ (+ (* y y) (* x x)) (* y y)))) (exp (+ (* y y) (+ (+ (* y y) (* x x)) (* y y)))) (log (+ (* y y) (+ (+ (* y y) (* x x)) (* y y)))) (exp (+ (* y y) (+ (+ (* y y) (* x x)) (* y y)))) (* (cbrt (+ (* y y) (+ (+ (* y y) (* x x)) (* y y)))) (cbrt (+ (* y y) (+ (+ (* y y) (* x x)) (* y y))))) (cbrt (+ (* y y) (+ (+ (* y y) (* x x)) (* y y)))) (* (+ (* y y) (+ (+ (* y y) (* x x)) (* y y))) (* (+ (* y y) (+ (+ (* y y) (* x x)) (* y y))) (+ (* y y) (+ (+ (* y y) (* x x)) (* y y))))) (sqrt (+ (* y y) (+ (+ (* y y) (* x x)) (* y y)))) (sqrt (+ (* y y) (+ (+ (* y y) (* x x)) (* y y)))) (+ (* (+ (+ (* y y) (* x x)) (* y y)) (* (+ (+ (* y y) (* x x)) (* y y)) (+ (+ (* y y) (* x x)) (* y y)))) (* (* y (* y y)) (* y (* y y)))) (+ (* (+ (+ (* y y) (* x x)) (* y y)) (+ (+ (* y y) (* x x)) (* y y))) (* (* y y) (- (* y y) (+ (+ (* y y) (* x x)) (* y y))))) (* (+ (* y y) (+ (+ (* y y) (* x x)) (* y y))) (+ (* y y) (* x x))) (+ (* y y) (* x x)) (* y (+ y y)) (exp (+ (* x x) (* y y))) (log (+ (* y y) (* x x))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* y y) (* x x))) (cbrt (+ (* y y) (* x x)))) (cbrt (+ (* y y) (* x x))) (* (+ (* y y) (* x x)) (* (+ (* y y) (* x x)) (+ (* y y) (* x x)))) (sqrt (+ (* y y) (* x x))) (sqrt (+ (* y y) (* x x))) (+ (* (* y (* y y)) (* y (* y y))) (* (* x (* x x)) (* x (* x x)))) (+ (* (* y y) (- (* y y) (* x x))) (* (* x x) (* x x))) (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (- (* x x) (* y y)) (exp (+ (+ (* x x) (* y y)) (* y y))) (exp (+ (+ (* x x) (* y y)) (* y y))) (log (+ (+ (* y y) (* x x)) (* y y))) (exp (+ (+ (* x x) (* y y)) (* y y))) (* (cbrt (+ (+ (* y y) (* x x)) (* y y))) (cbrt (+ (+ (* y y) (* x x)) (* y y)))) (cbrt (+ (+ (* y y) (* x x)) (* y y))) (* (+ (+ (* y y) (* x x)) (* y y)) (* (+ (+ (* y y) (* x x)) (* y y)) (+ (+ (* y y) (* x x)) (* y y)))) (sqrt (+ (+ (* y y) (* x x)) (* y y))) (sqrt (+ (+ (* y y) (* x x)) (* y y))) (+ (* (* y (* y y)) (* y (* y y))) (* (+ (* y y) (* x x)) (* (+ (* y y) (* x x)) (+ (* y y) (* x x))))) (+ (* (* y y) (- (* y y) (+ (* y y) (* x x)))) (* (+ (* y y) (* x x)) (+ (* y y) (* x x)))) (* (+ (+ (* y y) (* x x)) (* y y)) (* x x)) (* x x) (* y (+ y y)) (+ (* x x) (* y (* y 3))) (+ (* x x) (* y (* y 3))) (+ (* x x) (* y (* y 3))) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (+ (* y y) (* x x)) (* y y)) (+ (+ (* y y) (* x x)) (* y y)) (+ (+ (* y y) (* x x)) (* y y)) 7.138 * * * [progress]: adding candidates to table 7.356 * * [progress]: iteration 4 / 4 7.356 * * * [progress]: picking best candidate 7.395 * * * * [pick]: Picked # 7.395 * * * [progress]: localizing error 7.435 * * * [progress]: generating rewritten candidates 7.435 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 7.478 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 7.504 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 7.660 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 7.721 * * * [progress]: generating series expansions 7.721 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 7.721 * [backup-simplify]: Simplify (sqrt (+ (+ (* x x) (* y y)) (* y y))) into (sqrt (+ (* 2 (pow y 2)) (pow x 2))) 7.721 * [approximate]: Taking taylor expansion of (sqrt (+ (* 2 (pow y 2)) (pow x 2))) in (x y) around 0 7.721 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (pow y 2)) (pow x 2))) in y 7.721 * [taylor]: Taking taylor expansion of (+ (* 2 (pow y 2)) (pow x 2)) in y 7.721 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 7.721 * [taylor]: Taking taylor expansion of 2 in y 7.721 * [backup-simplify]: Simplify 2 into 2 7.721 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.721 * [taylor]: Taking taylor expansion of y in y 7.721 * [backup-simplify]: Simplify 0 into 0 7.721 * [backup-simplify]: Simplify 1 into 1 7.721 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.721 * [taylor]: Taking taylor expansion of x in y 7.721 * [backup-simplify]: Simplify x into x 7.721 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.722 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 7.722 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 7.722 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 7.722 * [backup-simplify]: Simplify (+ 0 0) into 0 7.722 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 7.722 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (pow y 2)) (pow x 2))) in x 7.722 * [taylor]: Taking taylor expansion of (+ (* 2 (pow y 2)) (pow x 2)) in x 7.722 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 7.722 * [taylor]: Taking taylor expansion of 2 in x 7.722 * [backup-simplify]: Simplify 2 into 2 7.722 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.722 * [taylor]: Taking taylor expansion of y in x 7.722 * [backup-simplify]: Simplify y into y 7.722 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.723 * [taylor]: Taking taylor expansion of x in x 7.723 * [backup-simplify]: Simplify 0 into 0 7.723 * [backup-simplify]: Simplify 1 into 1 7.723 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.723 * [backup-simplify]: Simplify (* 2 (pow y 2)) into (* 2 (pow y 2)) 7.723 * [backup-simplify]: Simplify (+ (* 2 (pow y 2)) 0) into (* 2 (pow y 2)) 7.723 * [backup-simplify]: Simplify (sqrt (* 2 (pow y 2))) into (* (sqrt 2) y) 7.723 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.723 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow y 2))) into 0 7.724 * [backup-simplify]: Simplify (+ 0 0) into 0 7.724 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 (pow y 2))))) into 0 7.724 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (pow y 2)) (pow x 2))) in x 7.724 * [taylor]: Taking taylor expansion of (+ (* 2 (pow y 2)) (pow x 2)) in x 7.724 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 7.724 * [taylor]: Taking taylor expansion of 2 in x 7.724 * [backup-simplify]: Simplify 2 into 2 7.724 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.724 * [taylor]: Taking taylor expansion of y in x 7.724 * [backup-simplify]: Simplify y into y 7.724 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.724 * [taylor]: Taking taylor expansion of x in x 7.724 * [backup-simplify]: Simplify 0 into 0 7.724 * [backup-simplify]: Simplify 1 into 1 7.724 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.724 * [backup-simplify]: Simplify (* 2 (pow y 2)) into (* 2 (pow y 2)) 7.724 * [backup-simplify]: Simplify (+ (* 2 (pow y 2)) 0) into (* 2 (pow y 2)) 7.724 * [backup-simplify]: Simplify (sqrt (* 2 (pow y 2))) into (* (sqrt 2) y) 7.725 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.725 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow y 2))) into 0 7.725 * [backup-simplify]: Simplify (+ 0 0) into 0 7.727 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 (pow y 2))))) into 0 7.727 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 7.727 * [taylor]: Taking taylor expansion of (sqrt 2) in y 7.727 * [taylor]: Taking taylor expansion of 2 in y 7.727 * [backup-simplify]: Simplify 2 into 2 7.728 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 7.728 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 7.728 * [taylor]: Taking taylor expansion of y in y 7.728 * [backup-simplify]: Simplify 0 into 0 7.728 * [backup-simplify]: Simplify 1 into 1 7.729 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 7.729 * [backup-simplify]: Simplify 0 into 0 7.729 * [taylor]: Taking taylor expansion of 0 in y 7.729 * [backup-simplify]: Simplify 0 into 0 7.729 * [backup-simplify]: Simplify 0 into 0 7.731 * [backup-simplify]: Simplify (+ (* (sqrt 2) 1) (* 0 0)) into (sqrt 2) 7.731 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 7.732 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 7.733 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 7.733 * [backup-simplify]: Simplify (* 1 1) into 1 7.733 * [backup-simplify]: Simplify (+ 0 1) into 1 7.734 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* (sqrt 2) y))) into (/ 1/2 (* (sqrt 2) y)) 7.734 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y 7.735 * [taylor]: Taking taylor expansion of 1/2 in y 7.735 * [backup-simplify]: Simplify 1/2 into 1/2 7.735 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 7.735 * [taylor]: Taking taylor expansion of (sqrt 2) in y 7.735 * [taylor]: Taking taylor expansion of 2 in y 7.735 * [backup-simplify]: Simplify 2 into 2 7.735 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 7.736 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 7.736 * [taylor]: Taking taylor expansion of y in y 7.736 * [backup-simplify]: Simplify 0 into 0 7.736 * [backup-simplify]: Simplify 1 into 1 7.736 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 7.738 * [backup-simplify]: Simplify (+ (* (sqrt 2) 1) (* 0 0)) into (sqrt 2) 7.739 * [backup-simplify]: Simplify (/ 1/2 (sqrt 2)) into (/ 1/2 (sqrt 2)) 7.740 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 7.740 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 1) (* 0 0))) into 0 7.741 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 7.742 * [backup-simplify]: Simplify 0 into 0 7.742 * [backup-simplify]: Simplify 0 into 0 7.742 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 7.743 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 1) (* 0 0))) into 0 7.743 * [backup-simplify]: Simplify 0 into 0 7.744 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 7.745 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 7.746 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.746 * [backup-simplify]: Simplify (+ 0 0) into 0 7.747 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (* (sqrt 2) y)))))) (* 2 (* (sqrt 2) y))) into 0 7.747 * [taylor]: Taking taylor expansion of 0 in y 7.747 * [backup-simplify]: Simplify 0 into 0 7.747 * [backup-simplify]: Simplify 0 into 0 7.748 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 7.750 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 7.751 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 7.751 * [backup-simplify]: Simplify 0 into 0 7.751 * [backup-simplify]: Simplify 0 into 0 7.751 * [backup-simplify]: Simplify (* (sqrt 2) (* y 1)) into (* (sqrt 2) y) 7.752 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) 7.752 * [approximate]: Taking taylor expansion of (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in (x y) around 0 7.752 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in y 7.752 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 7.752 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 7.752 * [taylor]: Taking taylor expansion of 2 in y 7.752 * [backup-simplify]: Simplify 2 into 2 7.752 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.752 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.752 * [taylor]: Taking taylor expansion of y in y 7.752 * [backup-simplify]: Simplify 0 into 0 7.752 * [backup-simplify]: Simplify 1 into 1 7.753 * [backup-simplify]: Simplify (* 1 1) into 1 7.753 * [backup-simplify]: Simplify (/ 1 1) into 1 7.753 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 7.753 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.753 * [taylor]: Taking taylor expansion of x in y 7.753 * [backup-simplify]: Simplify x into x 7.753 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.754 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 7.754 * [backup-simplify]: Simplify (* 2 1) into 2 7.755 * [backup-simplify]: Simplify (+ 2 0) into 2 7.755 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 7.756 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.756 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.757 * [backup-simplify]: Simplify (+ 0 0) into 0 7.757 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 7.757 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in x 7.757 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 7.757 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 7.757 * [taylor]: Taking taylor expansion of 2 in x 7.757 * [backup-simplify]: Simplify 2 into 2 7.757 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.757 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.757 * [taylor]: Taking taylor expansion of y in x 7.757 * [backup-simplify]: Simplify y into y 7.757 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.757 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.757 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.757 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.757 * [taylor]: Taking taylor expansion of x in x 7.757 * [backup-simplify]: Simplify 0 into 0 7.758 * [backup-simplify]: Simplify 1 into 1 7.758 * [backup-simplify]: Simplify (* 1 1) into 1 7.758 * [backup-simplify]: Simplify (/ 1 1) into 1 7.758 * [backup-simplify]: Simplify (+ 0 1) into 1 7.758 * [backup-simplify]: Simplify (sqrt 1) into 1 7.759 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.759 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.759 * [backup-simplify]: Simplify (+ 0 0) into 0 7.760 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.760 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in x 7.760 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 7.760 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 7.760 * [taylor]: Taking taylor expansion of 2 in x 7.760 * [backup-simplify]: Simplify 2 into 2 7.760 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.760 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.760 * [taylor]: Taking taylor expansion of y in x 7.760 * [backup-simplify]: Simplify y into y 7.760 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.760 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.760 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.760 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.760 * [taylor]: Taking taylor expansion of x in x 7.760 * [backup-simplify]: Simplify 0 into 0 7.760 * [backup-simplify]: Simplify 1 into 1 7.761 * [backup-simplify]: Simplify (* 1 1) into 1 7.761 * [backup-simplify]: Simplify (/ 1 1) into 1 7.761 * [backup-simplify]: Simplify (+ 0 1) into 1 7.761 * [backup-simplify]: Simplify (sqrt 1) into 1 7.762 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.762 * [backup-simplify]: Simplify (+ 0 0) into 0 7.763 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.763 * [taylor]: Taking taylor expansion of 1 in y 7.763 * [backup-simplify]: Simplify 1 into 1 7.763 * [taylor]: Taking taylor expansion of 0 in y 7.763 * [backup-simplify]: Simplify 0 into 0 7.763 * [backup-simplify]: Simplify 1 into 1 7.763 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2)) 7.764 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.764 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.764 * [backup-simplify]: Simplify (+ (/ 2 (pow y 2)) 0) into (* 2 (/ 1 (pow y 2))) 7.765 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (/ 1 (pow y 2)) 7.765 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.765 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.765 * [taylor]: Taking taylor expansion of y in y 7.765 * [backup-simplify]: Simplify 0 into 0 7.765 * [backup-simplify]: Simplify 1 into 1 7.765 * [backup-simplify]: Simplify (* 1 1) into 1 7.766 * [backup-simplify]: Simplify (/ 1 1) into 1 7.766 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.766 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.766 * [backup-simplify]: Simplify 0 into 0 7.766 * [backup-simplify]: Simplify 0 into 0 7.767 * [backup-simplify]: Simplify 0 into 0 7.767 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.767 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 7.767 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0 7.768 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.768 * [backup-simplify]: Simplify (+ 0 0) into 0 7.769 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (pow y 2)))))) (* 2 1)) into 0 7.769 * [taylor]: Taking taylor expansion of 0 in y 7.769 * [backup-simplify]: Simplify 0 into 0 7.769 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.770 * [backup-simplify]: Simplify 0 into 0 7.770 * [backup-simplify]: Simplify 0 into 0 7.770 * [backup-simplify]: Simplify 0 into 0 7.770 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 7.770 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) 7.770 * [approximate]: Taking taylor expansion of (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in (x y) around 0 7.770 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in y 7.770 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 7.771 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 7.771 * [taylor]: Taking taylor expansion of 2 in y 7.771 * [backup-simplify]: Simplify 2 into 2 7.771 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.771 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.771 * [taylor]: Taking taylor expansion of y in y 7.771 * [backup-simplify]: Simplify 0 into 0 7.771 * [backup-simplify]: Simplify 1 into 1 7.771 * [backup-simplify]: Simplify (* 1 1) into 1 7.771 * [backup-simplify]: Simplify (/ 1 1) into 1 7.771 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 7.771 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.771 * [taylor]: Taking taylor expansion of x in y 7.771 * [backup-simplify]: Simplify x into x 7.771 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.771 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 7.772 * [backup-simplify]: Simplify (* 2 1) into 2 7.772 * [backup-simplify]: Simplify (+ 2 0) into 2 7.772 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 7.773 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.773 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.774 * [backup-simplify]: Simplify (+ 0 0) into 0 7.774 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 7.774 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in x 7.774 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 7.774 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 7.774 * [taylor]: Taking taylor expansion of 2 in x 7.774 * [backup-simplify]: Simplify 2 into 2 7.774 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.774 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.774 * [taylor]: Taking taylor expansion of y in x 7.774 * [backup-simplify]: Simplify y into y 7.774 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.774 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.774 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.774 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.774 * [taylor]: Taking taylor expansion of x in x 7.774 * [backup-simplify]: Simplify 0 into 0 7.774 * [backup-simplify]: Simplify 1 into 1 7.775 * [backup-simplify]: Simplify (* 1 1) into 1 7.775 * [backup-simplify]: Simplify (/ 1 1) into 1 7.775 * [backup-simplify]: Simplify (+ 0 1) into 1 7.775 * [backup-simplify]: Simplify (sqrt 1) into 1 7.776 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.776 * [backup-simplify]: Simplify (+ 0 0) into 0 7.777 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.777 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in x 7.777 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 7.777 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 7.777 * [taylor]: Taking taylor expansion of 2 in x 7.777 * [backup-simplify]: Simplify 2 into 2 7.777 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.777 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.777 * [taylor]: Taking taylor expansion of y in x 7.777 * [backup-simplify]: Simplify y into y 7.777 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.777 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.777 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.777 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.777 * [taylor]: Taking taylor expansion of x in x 7.777 * [backup-simplify]: Simplify 0 into 0 7.777 * [backup-simplify]: Simplify 1 into 1 7.777 * [backup-simplify]: Simplify (* 1 1) into 1 7.778 * [backup-simplify]: Simplify (/ 1 1) into 1 7.778 * [backup-simplify]: Simplify (+ 0 1) into 1 7.778 * [backup-simplify]: Simplify (sqrt 1) into 1 7.779 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.779 * [backup-simplify]: Simplify (+ 0 0) into 0 7.780 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.780 * [taylor]: Taking taylor expansion of 1 in y 7.780 * [backup-simplify]: Simplify 1 into 1 7.780 * [taylor]: Taking taylor expansion of 0 in y 7.780 * [backup-simplify]: Simplify 0 into 0 7.780 * [backup-simplify]: Simplify 1 into 1 7.780 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2)) 7.780 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.781 * [backup-simplify]: Simplify (+ (/ 2 (pow y 2)) 0) into (* 2 (/ 1 (pow y 2))) 7.782 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (/ 1 (pow y 2)) 7.782 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.782 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.782 * [taylor]: Taking taylor expansion of y in y 7.782 * [backup-simplify]: Simplify 0 into 0 7.782 * [backup-simplify]: Simplify 1 into 1 7.782 * [backup-simplify]: Simplify (* 1 1) into 1 7.782 * [backup-simplify]: Simplify (/ 1 1) into 1 7.783 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.783 * [backup-simplify]: Simplify 0 into 0 7.783 * [backup-simplify]: Simplify 0 into 0 7.783 * [backup-simplify]: Simplify 0 into 0 7.783 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.784 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 7.784 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0 7.785 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.786 * [backup-simplify]: Simplify (+ 0 0) into 0 7.787 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (pow y 2)))))) (* 2 1)) into 0 7.787 * [taylor]: Taking taylor expansion of 0 in y 7.787 * [backup-simplify]: Simplify 0 into 0 7.788 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.789 * [backup-simplify]: Simplify 0 into 0 7.789 * [backup-simplify]: Simplify 0 into 0 7.789 * [backup-simplify]: Simplify 0 into 0 7.789 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 7.789 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 7.789 * [backup-simplify]: Simplify (sqrt (+ (+ (* x x) (* y y)) (* y y))) into (sqrt (+ (* 2 (pow y 2)) (pow x 2))) 7.789 * [approximate]: Taking taylor expansion of (sqrt (+ (* 2 (pow y 2)) (pow x 2))) in (x y) around 0 7.789 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (pow y 2)) (pow x 2))) in y 7.789 * [taylor]: Taking taylor expansion of (+ (* 2 (pow y 2)) (pow x 2)) in y 7.789 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 7.789 * [taylor]: Taking taylor expansion of 2 in y 7.789 * [backup-simplify]: Simplify 2 into 2 7.789 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.789 * [taylor]: Taking taylor expansion of y in y 7.789 * [backup-simplify]: Simplify 0 into 0 7.790 * [backup-simplify]: Simplify 1 into 1 7.790 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.790 * [taylor]: Taking taylor expansion of x in y 7.790 * [backup-simplify]: Simplify x into x 7.790 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.790 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 7.790 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 7.790 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 7.791 * [backup-simplify]: Simplify (+ 0 0) into 0 7.791 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 7.791 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (pow y 2)) (pow x 2))) in x 7.791 * [taylor]: Taking taylor expansion of (+ (* 2 (pow y 2)) (pow x 2)) in x 7.791 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 7.791 * [taylor]: Taking taylor expansion of 2 in x 7.791 * [backup-simplify]: Simplify 2 into 2 7.791 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.791 * [taylor]: Taking taylor expansion of y in x 7.791 * [backup-simplify]: Simplify y into y 7.791 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.791 * [taylor]: Taking taylor expansion of x in x 7.791 * [backup-simplify]: Simplify 0 into 0 7.791 * [backup-simplify]: Simplify 1 into 1 7.791 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.791 * [backup-simplify]: Simplify (* 2 (pow y 2)) into (* 2 (pow y 2)) 7.791 * [backup-simplify]: Simplify (+ (* 2 (pow y 2)) 0) into (* 2 (pow y 2)) 7.792 * [backup-simplify]: Simplify (sqrt (* 2 (pow y 2))) into (* (sqrt 2) y) 7.792 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.792 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow y 2))) into 0 7.792 * [backup-simplify]: Simplify (+ 0 0) into 0 7.793 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 (pow y 2))))) into 0 7.793 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (pow y 2)) (pow x 2))) in x 7.793 * [taylor]: Taking taylor expansion of (+ (* 2 (pow y 2)) (pow x 2)) in x 7.793 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 7.793 * [taylor]: Taking taylor expansion of 2 in x 7.793 * [backup-simplify]: Simplify 2 into 2 7.793 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.793 * [taylor]: Taking taylor expansion of y in x 7.793 * [backup-simplify]: Simplify y into y 7.793 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.793 * [taylor]: Taking taylor expansion of x in x 7.793 * [backup-simplify]: Simplify 0 into 0 7.793 * [backup-simplify]: Simplify 1 into 1 7.793 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.793 * [backup-simplify]: Simplify (* 2 (pow y 2)) into (* 2 (pow y 2)) 7.793 * [backup-simplify]: Simplify (+ (* 2 (pow y 2)) 0) into (* 2 (pow y 2)) 7.793 * [backup-simplify]: Simplify (sqrt (* 2 (pow y 2))) into (* (sqrt 2) y) 7.794 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.794 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow y 2))) into 0 7.794 * [backup-simplify]: Simplify (+ 0 0) into 0 7.795 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 (pow y 2))))) into 0 7.795 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 7.795 * [taylor]: Taking taylor expansion of (sqrt 2) in y 7.795 * [taylor]: Taking taylor expansion of 2 in y 7.795 * [backup-simplify]: Simplify 2 into 2 7.795 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 7.796 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 7.796 * [taylor]: Taking taylor expansion of y in y 7.796 * [backup-simplify]: Simplify 0 into 0 7.796 * [backup-simplify]: Simplify 1 into 1 7.796 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 7.796 * [backup-simplify]: Simplify 0 into 0 7.796 * [taylor]: Taking taylor expansion of 0 in y 7.796 * [backup-simplify]: Simplify 0 into 0 7.796 * [backup-simplify]: Simplify 0 into 0 7.798 * [backup-simplify]: Simplify (+ (* (sqrt 2) 1) (* 0 0)) into (sqrt 2) 7.798 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 7.799 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 7.800 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 7.800 * [backup-simplify]: Simplify (* 1 1) into 1 7.801 * [backup-simplify]: Simplify (+ 0 1) into 1 7.802 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* (sqrt 2) y))) into (/ 1/2 (* (sqrt 2) y)) 7.802 * [taylor]: Taking taylor expansion of (/ 1/2 (* (sqrt 2) y)) in y 7.802 * [taylor]: Taking taylor expansion of 1/2 in y 7.802 * [backup-simplify]: Simplify 1/2 into 1/2 7.802 * [taylor]: Taking taylor expansion of (* (sqrt 2) y) in y 7.802 * [taylor]: Taking taylor expansion of (sqrt 2) in y 7.802 * [taylor]: Taking taylor expansion of 2 in y 7.802 * [backup-simplify]: Simplify 2 into 2 7.802 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 7.803 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 7.803 * [taylor]: Taking taylor expansion of y in y 7.803 * [backup-simplify]: Simplify 0 into 0 7.803 * [backup-simplify]: Simplify 1 into 1 7.803 * [backup-simplify]: Simplify (* (sqrt 2) 0) into 0 7.805 * [backup-simplify]: Simplify (+ (* (sqrt 2) 1) (* 0 0)) into (sqrt 2) 7.806 * [backup-simplify]: Simplify (/ 1/2 (sqrt 2)) into (/ 1/2 (sqrt 2)) 7.807 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 7.808 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 1) (* 0 0))) into 0 7.808 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 7.808 * [backup-simplify]: Simplify 0 into 0 7.809 * [backup-simplify]: Simplify 0 into 0 7.809 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 7.810 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 1) (* 0 0))) into 0 7.810 * [backup-simplify]: Simplify 0 into 0 7.810 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 7.811 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 7.811 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.812 * [backup-simplify]: Simplify (+ 0 0) into 0 7.812 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (* (sqrt 2) y)))))) (* 2 (* (sqrt 2) y))) into 0 7.812 * [taylor]: Taking taylor expansion of 0 in y 7.812 * [backup-simplify]: Simplify 0 into 0 7.812 * [backup-simplify]: Simplify 0 into 0 7.813 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 7.814 * [backup-simplify]: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 7.815 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 7.815 * [backup-simplify]: Simplify 0 into 0 7.815 * [backup-simplify]: Simplify 0 into 0 7.815 * [backup-simplify]: Simplify (* (sqrt 2) (* y 1)) into (* (sqrt 2) y) 7.815 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) 7.815 * [approximate]: Taking taylor expansion of (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in (x y) around 0 7.815 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in y 7.815 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 7.815 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 7.815 * [taylor]: Taking taylor expansion of 2 in y 7.815 * [backup-simplify]: Simplify 2 into 2 7.815 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.815 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.815 * [taylor]: Taking taylor expansion of y in y 7.815 * [backup-simplify]: Simplify 0 into 0 7.815 * [backup-simplify]: Simplify 1 into 1 7.816 * [backup-simplify]: Simplify (* 1 1) into 1 7.816 * [backup-simplify]: Simplify (/ 1 1) into 1 7.816 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 7.816 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.816 * [taylor]: Taking taylor expansion of x in y 7.816 * [backup-simplify]: Simplify x into x 7.816 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.816 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 7.816 * [backup-simplify]: Simplify (* 2 1) into 2 7.817 * [backup-simplify]: Simplify (+ 2 0) into 2 7.817 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 7.817 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.818 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.819 * [backup-simplify]: Simplify (+ 0 0) into 0 7.819 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 7.819 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in x 7.819 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 7.819 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 7.819 * [taylor]: Taking taylor expansion of 2 in x 7.819 * [backup-simplify]: Simplify 2 into 2 7.819 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.819 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.819 * [taylor]: Taking taylor expansion of y in x 7.819 * [backup-simplify]: Simplify y into y 7.819 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.819 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.819 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.819 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.819 * [taylor]: Taking taylor expansion of x in x 7.819 * [backup-simplify]: Simplify 0 into 0 7.819 * [backup-simplify]: Simplify 1 into 1 7.820 * [backup-simplify]: Simplify (* 1 1) into 1 7.820 * [backup-simplify]: Simplify (/ 1 1) into 1 7.820 * [backup-simplify]: Simplify (+ 0 1) into 1 7.820 * [backup-simplify]: Simplify (sqrt 1) into 1 7.821 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.821 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.821 * [backup-simplify]: Simplify (+ 0 0) into 0 7.822 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.822 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in x 7.822 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 7.822 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 7.822 * [taylor]: Taking taylor expansion of 2 in x 7.822 * [backup-simplify]: Simplify 2 into 2 7.822 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.822 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.822 * [taylor]: Taking taylor expansion of y in x 7.822 * [backup-simplify]: Simplify y into y 7.822 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.822 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.822 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.822 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.822 * [taylor]: Taking taylor expansion of x in x 7.822 * [backup-simplify]: Simplify 0 into 0 7.822 * [backup-simplify]: Simplify 1 into 1 7.823 * [backup-simplify]: Simplify (* 1 1) into 1 7.823 * [backup-simplify]: Simplify (/ 1 1) into 1 7.823 * [backup-simplify]: Simplify (+ 0 1) into 1 7.823 * [backup-simplify]: Simplify (sqrt 1) into 1 7.824 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.824 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.824 * [backup-simplify]: Simplify (+ 0 0) into 0 7.825 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.825 * [taylor]: Taking taylor expansion of 1 in y 7.825 * [backup-simplify]: Simplify 1 into 1 7.825 * [taylor]: Taking taylor expansion of 0 in y 7.825 * [backup-simplify]: Simplify 0 into 0 7.825 * [backup-simplify]: Simplify 1 into 1 7.825 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2)) 7.826 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.826 * [backup-simplify]: Simplify (+ (/ 2 (pow y 2)) 0) into (* 2 (/ 1 (pow y 2))) 7.827 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (/ 1 (pow y 2)) 7.827 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.827 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.827 * [taylor]: Taking taylor expansion of y in y 7.827 * [backup-simplify]: Simplify 0 into 0 7.827 * [backup-simplify]: Simplify 1 into 1 7.827 * [backup-simplify]: Simplify (* 1 1) into 1 7.828 * [backup-simplify]: Simplify (/ 1 1) into 1 7.828 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.829 * [backup-simplify]: Simplify 0 into 0 7.829 * [backup-simplify]: Simplify 0 into 0 7.829 * [backup-simplify]: Simplify 0 into 0 7.829 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.829 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 7.829 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0 7.830 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.831 * [backup-simplify]: Simplify (+ 0 0) into 0 7.831 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (pow y 2)))))) (* 2 1)) into 0 7.831 * [taylor]: Taking taylor expansion of 0 in y 7.831 * [backup-simplify]: Simplify 0 into 0 7.832 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.833 * [backup-simplify]: Simplify 0 into 0 7.833 * [backup-simplify]: Simplify 0 into 0 7.833 * [backup-simplify]: Simplify 0 into 0 7.833 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 7.833 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) 7.833 * [approximate]: Taking taylor expansion of (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in (x y) around 0 7.833 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in y 7.833 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 7.833 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 7.833 * [taylor]: Taking taylor expansion of 2 in y 7.833 * [backup-simplify]: Simplify 2 into 2 7.833 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.833 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.833 * [taylor]: Taking taylor expansion of y in y 7.833 * [backup-simplify]: Simplify 0 into 0 7.833 * [backup-simplify]: Simplify 1 into 1 7.835 * [backup-simplify]: Simplify (* 1 1) into 1 7.836 * [backup-simplify]: Simplify (/ 1 1) into 1 7.836 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 7.836 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.836 * [taylor]: Taking taylor expansion of x in y 7.836 * [backup-simplify]: Simplify x into x 7.836 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.836 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 7.837 * [backup-simplify]: Simplify (* 2 1) into 2 7.837 * [backup-simplify]: Simplify (+ 2 0) into 2 7.838 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 7.838 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.839 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.840 * [backup-simplify]: Simplify (+ 0 0) into 0 7.840 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 7.840 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in x 7.840 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 7.840 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 7.840 * [taylor]: Taking taylor expansion of 2 in x 7.840 * [backup-simplify]: Simplify 2 into 2 7.840 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.840 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.840 * [taylor]: Taking taylor expansion of y in x 7.841 * [backup-simplify]: Simplify y into y 7.841 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.841 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.841 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.841 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.841 * [taylor]: Taking taylor expansion of x in x 7.841 * [backup-simplify]: Simplify 0 into 0 7.841 * [backup-simplify]: Simplify 1 into 1 7.841 * [backup-simplify]: Simplify (* 1 1) into 1 7.842 * [backup-simplify]: Simplify (/ 1 1) into 1 7.842 * [backup-simplify]: Simplify (+ 0 1) into 1 7.842 * [backup-simplify]: Simplify (sqrt 1) into 1 7.843 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.844 * [backup-simplify]: Simplify (+ 0 0) into 0 7.844 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.844 * [taylor]: Taking taylor expansion of (sqrt (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2)))) in x 7.844 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 7.844 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 7.845 * [taylor]: Taking taylor expansion of 2 in x 7.845 * [backup-simplify]: Simplify 2 into 2 7.845 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.845 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.845 * [taylor]: Taking taylor expansion of y in x 7.845 * [backup-simplify]: Simplify y into y 7.845 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.845 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.845 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.845 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.845 * [taylor]: Taking taylor expansion of x in x 7.845 * [backup-simplify]: Simplify 0 into 0 7.845 * [backup-simplify]: Simplify 1 into 1 7.845 * [backup-simplify]: Simplify (* 1 1) into 1 7.846 * [backup-simplify]: Simplify (/ 1 1) into 1 7.846 * [backup-simplify]: Simplify (+ 0 1) into 1 7.846 * [backup-simplify]: Simplify (sqrt 1) into 1 7.847 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.848 * [backup-simplify]: Simplify (+ 0 0) into 0 7.848 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 7.849 * [taylor]: Taking taylor expansion of 1 in y 7.849 * [backup-simplify]: Simplify 1 into 1 7.849 * [taylor]: Taking taylor expansion of 0 in y 7.849 * [backup-simplify]: Simplify 0 into 0 7.849 * [backup-simplify]: Simplify 1 into 1 7.849 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2)) 7.850 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.851 * [backup-simplify]: Simplify (+ (/ 2 (pow y 2)) 0) into (* 2 (/ 1 (pow y 2))) 7.852 * [backup-simplify]: Simplify (/ (- (* 2 (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (/ 1 (pow y 2)) 7.852 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.852 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.852 * [taylor]: Taking taylor expansion of y in y 7.852 * [backup-simplify]: Simplify 0 into 0 7.852 * [backup-simplify]: Simplify 1 into 1 7.852 * [backup-simplify]: Simplify (* 1 1) into 1 7.853 * [backup-simplify]: Simplify (/ 1 1) into 1 7.853 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.854 * [backup-simplify]: Simplify 0 into 0 7.854 * [backup-simplify]: Simplify 0 into 0 7.854 * [backup-simplify]: Simplify 0 into 0 7.854 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.855 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 7.855 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0 7.856 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.857 * [backup-simplify]: Simplify (+ 0 0) into 0 7.858 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (pow y 2)))))) (* 2 1)) into 0 7.858 * [taylor]: Taking taylor expansion of 0 in y 7.858 * [backup-simplify]: Simplify 0 into 0 7.859 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.859 * [backup-simplify]: Simplify 0 into 0 7.859 * [backup-simplify]: Simplify 0 into 0 7.859 * [backup-simplify]: Simplify 0 into 0 7.860 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 7.860 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 7.860 * [backup-simplify]: Simplify (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) into (+ (* 2 (pow y 2)) (pow x 2)) 7.860 * [approximate]: Taking taylor expansion of (+ (* 2 (pow y 2)) (pow x 2)) in (x y) around 0 7.860 * [taylor]: Taking taylor expansion of (+ (* 2 (pow y 2)) (pow x 2)) in y 7.860 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 7.860 * [taylor]: Taking taylor expansion of 2 in y 7.860 * [backup-simplify]: Simplify 2 into 2 7.860 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.860 * [taylor]: Taking taylor expansion of y in y 7.860 * [backup-simplify]: Simplify 0 into 0 7.860 * [backup-simplify]: Simplify 1 into 1 7.860 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.861 * [taylor]: Taking taylor expansion of x in y 7.861 * [backup-simplify]: Simplify x into x 7.861 * [taylor]: Taking taylor expansion of (+ (* 2 (pow y 2)) (pow x 2)) in x 7.861 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 7.861 * [taylor]: Taking taylor expansion of 2 in x 7.861 * [backup-simplify]: Simplify 2 into 2 7.861 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.861 * [taylor]: Taking taylor expansion of y in x 7.861 * [backup-simplify]: Simplify y into y 7.861 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.861 * [taylor]: Taking taylor expansion of x in x 7.861 * [backup-simplify]: Simplify 0 into 0 7.861 * [backup-simplify]: Simplify 1 into 1 7.861 * [taylor]: Taking taylor expansion of (+ (* 2 (pow y 2)) (pow x 2)) in x 7.861 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in x 7.861 * [taylor]: Taking taylor expansion of 2 in x 7.861 * [backup-simplify]: Simplify 2 into 2 7.861 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.861 * [taylor]: Taking taylor expansion of y in x 7.861 * [backup-simplify]: Simplify y into y 7.861 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.861 * [taylor]: Taking taylor expansion of x in x 7.861 * [backup-simplify]: Simplify 0 into 0 7.861 * [backup-simplify]: Simplify 1 into 1 7.861 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.861 * [backup-simplify]: Simplify (* 2 (pow y 2)) into (* 2 (pow y 2)) 7.861 * [backup-simplify]: Simplify (+ (* 2 (pow y 2)) 0) into (* 2 (pow y 2)) 7.861 * [taylor]: Taking taylor expansion of (* 2 (pow y 2)) in y 7.862 * [taylor]: Taking taylor expansion of 2 in y 7.862 * [backup-simplify]: Simplify 2 into 2 7.862 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.862 * [taylor]: Taking taylor expansion of y in y 7.862 * [backup-simplify]: Simplify 0 into 0 7.862 * [backup-simplify]: Simplify 1 into 1 7.862 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.862 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow y 2))) into 0 7.863 * [backup-simplify]: Simplify (+ 0 0) into 0 7.863 * [taylor]: Taking taylor expansion of 0 in y 7.863 * [backup-simplify]: Simplify 0 into 0 7.863 * [backup-simplify]: Simplify 0 into 0 7.863 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 7.864 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 7.865 * [backup-simplify]: Simplify (* 1 1) into 1 7.865 * [backup-simplify]: Simplify (+ 0 1) into 1 7.865 * [taylor]: Taking taylor expansion of 1 in y 7.865 * [backup-simplify]: Simplify 1 into 1 7.865 * [backup-simplify]: Simplify 1 into 1 7.865 * [backup-simplify]: Simplify 0 into 0 7.866 * [backup-simplify]: Simplify (* 1 1) into 1 7.866 * [backup-simplify]: Simplify (* 2 1) into 2 7.866 * [backup-simplify]: Simplify 2 into 2 7.867 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 7.868 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 7.869 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.869 * [backup-simplify]: Simplify (+ 0 0) into 0 7.869 * [taylor]: Taking taylor expansion of 0 in y 7.869 * [backup-simplify]: Simplify 0 into 0 7.869 * [backup-simplify]: Simplify 0 into 0 7.869 * [backup-simplify]: Simplify 0 into 0 7.869 * [backup-simplify]: Simplify 0 into 0 7.870 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.871 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.871 * [backup-simplify]: Simplify 0 into 0 7.873 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 7.874 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 7.875 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.876 * [backup-simplify]: Simplify (+ 0 0) into 0 7.876 * [taylor]: Taking taylor expansion of 0 in y 7.876 * [backup-simplify]: Simplify 0 into 0 7.876 * [backup-simplify]: Simplify 0 into 0 7.876 * [backup-simplify]: Simplify 0 into 0 7.876 * [backup-simplify]: Simplify (+ (* 2 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (* 2 (pow y 2)) (pow x 2)) 7.877 * [backup-simplify]: Simplify (* (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 y) (/ 1 y)))) (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 y) (/ 1 y))))) into (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 7.877 * [approximate]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in (x y) around 0 7.877 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 7.877 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 7.877 * [taylor]: Taking taylor expansion of 2 in y 7.877 * [backup-simplify]: Simplify 2 into 2 7.877 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.877 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.877 * [taylor]: Taking taylor expansion of y in y 7.877 * [backup-simplify]: Simplify 0 into 0 7.877 * [backup-simplify]: Simplify 1 into 1 7.878 * [backup-simplify]: Simplify (* 1 1) into 1 7.878 * [backup-simplify]: Simplify (/ 1 1) into 1 7.878 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 7.878 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.878 * [taylor]: Taking taylor expansion of x in y 7.878 * [backup-simplify]: Simplify x into x 7.878 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.879 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 7.879 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 7.879 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 7.879 * [taylor]: Taking taylor expansion of 2 in x 7.879 * [backup-simplify]: Simplify 2 into 2 7.879 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.879 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.879 * [taylor]: Taking taylor expansion of y in x 7.879 * [backup-simplify]: Simplify y into y 7.879 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.879 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.879 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.879 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.879 * [taylor]: Taking taylor expansion of x in x 7.879 * [backup-simplify]: Simplify 0 into 0 7.879 * [backup-simplify]: Simplify 1 into 1 7.880 * [backup-simplify]: Simplify (* 1 1) into 1 7.880 * [backup-simplify]: Simplify (/ 1 1) into 1 7.880 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 7.880 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 7.880 * [taylor]: Taking taylor expansion of 2 in x 7.880 * [backup-simplify]: Simplify 2 into 2 7.880 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.880 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.880 * [taylor]: Taking taylor expansion of y in x 7.880 * [backup-simplify]: Simplify y into y 7.880 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.880 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.880 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.880 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.881 * [taylor]: Taking taylor expansion of x in x 7.881 * [backup-simplify]: Simplify 0 into 0 7.881 * [backup-simplify]: Simplify 1 into 1 7.881 * [backup-simplify]: Simplify (* 1 1) into 1 7.881 * [backup-simplify]: Simplify (/ 1 1) into 1 7.882 * [backup-simplify]: Simplify (+ 0 1) into 1 7.882 * [taylor]: Taking taylor expansion of 1 in y 7.882 * [backup-simplify]: Simplify 1 into 1 7.883 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.883 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.884 * [backup-simplify]: Simplify (+ 0 0) into 0 7.884 * [taylor]: Taking taylor expansion of 0 in y 7.884 * [backup-simplify]: Simplify 0 into 0 7.884 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2)) 7.885 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.886 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.886 * [backup-simplify]: Simplify (+ (/ 2 (pow y 2)) 0) into (* 2 (/ 1 (pow y 2))) 7.886 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 7.886 * [taylor]: Taking taylor expansion of 2 in y 7.886 * [backup-simplify]: Simplify 2 into 2 7.886 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.886 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.886 * [taylor]: Taking taylor expansion of y in y 7.886 * [backup-simplify]: Simplify 0 into 0 7.886 * [backup-simplify]: Simplify 1 into 1 7.887 * [backup-simplify]: Simplify (* 1 1) into 1 7.887 * [backup-simplify]: Simplify (/ 1 1) into 1 7.888 * [backup-simplify]: Simplify (* 2 1) into 2 7.888 * [backup-simplify]: Simplify 2 into 2 7.888 * [backup-simplify]: Simplify 1 into 1 7.888 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.888 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 7.889 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0 7.889 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.891 * [backup-simplify]: Simplify (+ 0 0) into 0 7.891 * [taylor]: Taking taylor expansion of 0 in y 7.891 * [backup-simplify]: Simplify 0 into 0 7.891 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.893 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.893 * [backup-simplify]: Simplify 0 into 0 7.893 * [backup-simplify]: Simplify 0 into 0 7.893 * [backup-simplify]: Simplify 0 into 0 7.893 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 7.894 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 7.895 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 7.896 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.897 * [backup-simplify]: Simplify (+ 0 0) into 0 7.897 * [taylor]: Taking taylor expansion of 0 in y 7.897 * [backup-simplify]: Simplify 0 into 0 7.898 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.900 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.900 * [backup-simplify]: Simplify 0 into 0 7.900 * [backup-simplify]: Simplify 0 into 0 7.900 * [backup-simplify]: Simplify 0 into 0 7.901 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 2 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (* 2 (pow y 2)) (pow x 2)) 7.902 * [backup-simplify]: Simplify (* (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y))))) (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y)))))) into (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 7.902 * [approximate]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in (x y) around 0 7.902 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 7.902 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 7.902 * [taylor]: Taking taylor expansion of 2 in y 7.902 * [backup-simplify]: Simplify 2 into 2 7.902 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.902 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.902 * [taylor]: Taking taylor expansion of y in y 7.902 * [backup-simplify]: Simplify 0 into 0 7.902 * [backup-simplify]: Simplify 1 into 1 7.903 * [backup-simplify]: Simplify (* 1 1) into 1 7.903 * [backup-simplify]: Simplify (/ 1 1) into 1 7.903 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 7.903 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.903 * [taylor]: Taking taylor expansion of x in y 7.903 * [backup-simplify]: Simplify x into x 7.903 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.904 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 7.904 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 7.904 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 7.904 * [taylor]: Taking taylor expansion of 2 in x 7.904 * [backup-simplify]: Simplify 2 into 2 7.904 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.904 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.904 * [taylor]: Taking taylor expansion of y in x 7.904 * [backup-simplify]: Simplify y into y 7.904 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.904 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.904 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.904 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.904 * [taylor]: Taking taylor expansion of x in x 7.904 * [backup-simplify]: Simplify 0 into 0 7.904 * [backup-simplify]: Simplify 1 into 1 7.905 * [backup-simplify]: Simplify (* 1 1) into 1 7.905 * [backup-simplify]: Simplify (/ 1 1) into 1 7.905 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 7.905 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in x 7.905 * [taylor]: Taking taylor expansion of 2 in x 7.905 * [backup-simplify]: Simplify 2 into 2 7.905 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.905 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.905 * [taylor]: Taking taylor expansion of y in x 7.905 * [backup-simplify]: Simplify y into y 7.906 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.906 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.906 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.906 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.906 * [taylor]: Taking taylor expansion of x in x 7.906 * [backup-simplify]: Simplify 0 into 0 7.906 * [backup-simplify]: Simplify 1 into 1 7.906 * [backup-simplify]: Simplify (* 1 1) into 1 7.907 * [backup-simplify]: Simplify (/ 1 1) into 1 7.907 * [backup-simplify]: Simplify (+ 0 1) into 1 7.907 * [taylor]: Taking taylor expansion of 1 in y 7.907 * [backup-simplify]: Simplify 1 into 1 7.908 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.909 * [backup-simplify]: Simplify (+ 0 0) into 0 7.909 * [taylor]: Taking taylor expansion of 0 in y 7.909 * [backup-simplify]: Simplify 0 into 0 7.909 * [backup-simplify]: Simplify (* 2 (/ 1 (pow y 2))) into (/ 2 (pow y 2)) 7.911 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.912 * [backup-simplify]: Simplify (+ (/ 2 (pow y 2)) 0) into (* 2 (/ 1 (pow y 2))) 7.912 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 7.912 * [taylor]: Taking taylor expansion of 2 in y 7.912 * [backup-simplify]: Simplify 2 into 2 7.912 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.912 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.912 * [taylor]: Taking taylor expansion of y in y 7.912 * [backup-simplify]: Simplify 0 into 0 7.913 * [backup-simplify]: Simplify 1 into 1 7.913 * [backup-simplify]: Simplify (* 1 1) into 1 7.913 * [backup-simplify]: Simplify (/ 1 1) into 1 7.914 * [backup-simplify]: Simplify (* 2 1) into 2 7.914 * [backup-simplify]: Simplify 2 into 2 7.914 * [backup-simplify]: Simplify 1 into 1 7.914 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.914 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 7.915 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 (pow y 2)))) into 0 7.916 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.918 * [backup-simplify]: Simplify (+ 0 0) into 0 7.918 * [taylor]: Taking taylor expansion of 0 in y 7.918 * [backup-simplify]: Simplify 0 into 0 7.918 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.920 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.920 * [backup-simplify]: Simplify 0 into 0 7.920 * [backup-simplify]: Simplify 0 into 0 7.920 * [backup-simplify]: Simplify 0 into 0 7.920 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 7.921 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 7.922 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 7.923 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.925 * [backup-simplify]: Simplify (+ 0 0) into 0 7.925 * [taylor]: Taking taylor expansion of 0 in y 7.925 * [backup-simplify]: Simplify 0 into 0 7.926 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.928 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.928 * [backup-simplify]: Simplify 0 into 0 7.928 * [backup-simplify]: Simplify 0 into 0 7.928 * [backup-simplify]: Simplify 0 into 0 7.928 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 2 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (* 2 (pow y 2)) (pow x 2)) 7.928 * * * * [progress]: [ 4 / 4 ] generating series at (2) 7.929 * [backup-simplify]: Simplify (+ (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y)) into (+ (* 3 (pow y 2)) (pow x 2)) 7.929 * [approximate]: Taking taylor expansion of (+ (* 3 (pow y 2)) (pow x 2)) in (x y) around 0 7.929 * [taylor]: Taking taylor expansion of (+ (* 3 (pow y 2)) (pow x 2)) in y 7.929 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 7.929 * [taylor]: Taking taylor expansion of 3 in y 7.929 * [backup-simplify]: Simplify 3 into 3 7.929 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.929 * [taylor]: Taking taylor expansion of y in y 7.929 * [backup-simplify]: Simplify 0 into 0 7.929 * [backup-simplify]: Simplify 1 into 1 7.929 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.929 * [taylor]: Taking taylor expansion of x in y 7.929 * [backup-simplify]: Simplify x into x 7.929 * [taylor]: Taking taylor expansion of (+ (* 3 (pow y 2)) (pow x 2)) in x 7.930 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 7.930 * [taylor]: Taking taylor expansion of 3 in x 7.930 * [backup-simplify]: Simplify 3 into 3 7.930 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.930 * [taylor]: Taking taylor expansion of y in x 7.930 * [backup-simplify]: Simplify y into y 7.930 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.930 * [taylor]: Taking taylor expansion of x in x 7.930 * [backup-simplify]: Simplify 0 into 0 7.930 * [backup-simplify]: Simplify 1 into 1 7.930 * [taylor]: Taking taylor expansion of (+ (* 3 (pow y 2)) (pow x 2)) in x 7.930 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in x 7.930 * [taylor]: Taking taylor expansion of 3 in x 7.930 * [backup-simplify]: Simplify 3 into 3 7.930 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.930 * [taylor]: Taking taylor expansion of y in x 7.930 * [backup-simplify]: Simplify y into y 7.930 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.930 * [taylor]: Taking taylor expansion of x in x 7.930 * [backup-simplify]: Simplify 0 into 0 7.930 * [backup-simplify]: Simplify 1 into 1 7.930 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.930 * [backup-simplify]: Simplify (* 3 (pow y 2)) into (* 3 (pow y 2)) 7.930 * [backup-simplify]: Simplify (+ (* 3 (pow y 2)) 0) into (* 3 (pow y 2)) 7.930 * [taylor]: Taking taylor expansion of (* 3 (pow y 2)) in y 7.931 * [taylor]: Taking taylor expansion of 3 in y 7.931 * [backup-simplify]: Simplify 3 into 3 7.931 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.931 * [taylor]: Taking taylor expansion of y in y 7.931 * [backup-simplify]: Simplify 0 into 0 7.931 * [backup-simplify]: Simplify 1 into 1 7.931 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.931 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (pow y 2))) into 0 7.932 * [backup-simplify]: Simplify (+ 0 0) into 0 7.932 * [taylor]: Taking taylor expansion of 0 in y 7.932 * [backup-simplify]: Simplify 0 into 0 7.932 * [backup-simplify]: Simplify 0 into 0 7.932 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 7.933 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0 7.934 * [backup-simplify]: Simplify (* 1 1) into 1 7.934 * [backup-simplify]: Simplify (+ 0 1) into 1 7.934 * [taylor]: Taking taylor expansion of 1 in y 7.934 * [backup-simplify]: Simplify 1 into 1 7.934 * [backup-simplify]: Simplify 1 into 1 7.934 * [backup-simplify]: Simplify 0 into 0 7.935 * [backup-simplify]: Simplify (* 1 1) into 1 7.935 * [backup-simplify]: Simplify (* 3 1) into 3 7.935 * [backup-simplify]: Simplify 3 into 3 7.936 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 7.937 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0 7.938 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.938 * [backup-simplify]: Simplify (+ 0 0) into 0 7.938 * [taylor]: Taking taylor expansion of 0 in y 7.938 * [backup-simplify]: Simplify 0 into 0 7.938 * [backup-simplify]: Simplify 0 into 0 7.938 * [backup-simplify]: Simplify 0 into 0 7.938 * [backup-simplify]: Simplify 0 into 0 7.939 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.940 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 7.940 * [backup-simplify]: Simplify 0 into 0 7.941 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 7.942 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0 7.943 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.943 * [backup-simplify]: Simplify (+ 0 0) into 0 7.944 * [taylor]: Taking taylor expansion of 0 in y 7.944 * [backup-simplify]: Simplify 0 into 0 7.944 * [backup-simplify]: Simplify 0 into 0 7.944 * [backup-simplify]: Simplify 0 into 0 7.944 * [backup-simplify]: Simplify (+ (* 3 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (* 3 (pow y 2)) (pow x 2)) 7.945 * [backup-simplify]: Simplify (+ (* (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 y) (/ 1 y)))) (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 y) (/ 1 y))))) (* (/ 1 y) (/ 1 y))) into (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 7.945 * [approximate]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in (x y) around 0 7.945 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 7.945 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 7.945 * [taylor]: Taking taylor expansion of 3 in y 7.945 * [backup-simplify]: Simplify 3 into 3 7.945 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.945 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.945 * [taylor]: Taking taylor expansion of y in y 7.945 * [backup-simplify]: Simplify 0 into 0 7.945 * [backup-simplify]: Simplify 1 into 1 7.946 * [backup-simplify]: Simplify (* 1 1) into 1 7.946 * [backup-simplify]: Simplify (/ 1 1) into 1 7.946 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 7.946 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.946 * [taylor]: Taking taylor expansion of x in y 7.946 * [backup-simplify]: Simplify x into x 7.946 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.946 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 7.946 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 7.946 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 7.946 * [taylor]: Taking taylor expansion of 3 in x 7.946 * [backup-simplify]: Simplify 3 into 3 7.946 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.947 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.947 * [taylor]: Taking taylor expansion of y in x 7.947 * [backup-simplify]: Simplify y into y 7.947 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.947 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.947 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.947 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.947 * [taylor]: Taking taylor expansion of x in x 7.947 * [backup-simplify]: Simplify 0 into 0 7.947 * [backup-simplify]: Simplify 1 into 1 7.947 * [backup-simplify]: Simplify (* 1 1) into 1 7.948 * [backup-simplify]: Simplify (/ 1 1) into 1 7.948 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 7.948 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 7.948 * [taylor]: Taking taylor expansion of 3 in x 7.948 * [backup-simplify]: Simplify 3 into 3 7.948 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.948 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.948 * [taylor]: Taking taylor expansion of y in x 7.948 * [backup-simplify]: Simplify y into y 7.948 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.948 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.948 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.948 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.948 * [taylor]: Taking taylor expansion of x in x 7.948 * [backup-simplify]: Simplify 0 into 0 7.948 * [backup-simplify]: Simplify 1 into 1 7.949 * [backup-simplify]: Simplify (* 1 1) into 1 7.949 * [backup-simplify]: Simplify (/ 1 1) into 1 7.949 * [backup-simplify]: Simplify (+ 0 1) into 1 7.949 * [taylor]: Taking taylor expansion of 1 in y 7.949 * [backup-simplify]: Simplify 1 into 1 7.950 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.951 * [backup-simplify]: Simplify (+ 0 0) into 0 7.951 * [taylor]: Taking taylor expansion of 0 in y 7.951 * [backup-simplify]: Simplify 0 into 0 7.951 * [backup-simplify]: Simplify (* 3 (/ 1 (pow y 2))) into (/ 3 (pow y 2)) 7.952 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.953 * [backup-simplify]: Simplify (+ (/ 3 (pow y 2)) 0) into (* 3 (/ 1 (pow y 2))) 7.953 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 7.953 * [taylor]: Taking taylor expansion of 3 in y 7.953 * [backup-simplify]: Simplify 3 into 3 7.953 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.953 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.954 * [taylor]: Taking taylor expansion of y in y 7.954 * [backup-simplify]: Simplify 0 into 0 7.954 * [backup-simplify]: Simplify 1 into 1 7.954 * [backup-simplify]: Simplify (* 1 1) into 1 7.954 * [backup-simplify]: Simplify (/ 1 1) into 1 7.955 * [backup-simplify]: Simplify (* 3 1) into 3 7.955 * [backup-simplify]: Simplify 3 into 3 7.955 * [backup-simplify]: Simplify 1 into 1 7.955 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.955 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 7.956 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (/ 1 (pow y 2)))) into 0 7.957 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.957 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.958 * [backup-simplify]: Simplify (+ 0 0) into 0 7.958 * [taylor]: Taking taylor expansion of 0 in y 7.958 * [backup-simplify]: Simplify 0 into 0 7.958 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.960 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 7.960 * [backup-simplify]: Simplify 0 into 0 7.960 * [backup-simplify]: Simplify 0 into 0 7.960 * [backup-simplify]: Simplify 0 into 0 7.960 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 7.961 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 7.962 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 7.963 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.964 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.964 * [backup-simplify]: Simplify (+ 0 0) into 0 7.964 * [taylor]: Taking taylor expansion of 0 in y 7.964 * [backup-simplify]: Simplify 0 into 0 7.965 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.966 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.967 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 7.967 * [backup-simplify]: Simplify 0 into 0 7.967 * [backup-simplify]: Simplify 0 into 0 7.967 * [backup-simplify]: Simplify 0 into 0 7.967 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 3 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (* 3 (pow y 2)) (pow x 2)) 7.968 * [backup-simplify]: Simplify (+ (* (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y))))) (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y)))))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) 7.968 * [approximate]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in (x y) around 0 7.968 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in y 7.968 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 7.969 * [taylor]: Taking taylor expansion of 3 in y 7.969 * [backup-simplify]: Simplify 3 into 3 7.969 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.969 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.969 * [taylor]: Taking taylor expansion of y in y 7.969 * [backup-simplify]: Simplify 0 into 0 7.969 * [backup-simplify]: Simplify 1 into 1 7.969 * [backup-simplify]: Simplify (* 1 1) into 1 7.969 * [backup-simplify]: Simplify (/ 1 1) into 1 7.969 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 7.969 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.969 * [taylor]: Taking taylor expansion of x in y 7.970 * [backup-simplify]: Simplify x into x 7.970 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.970 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 7.970 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 7.970 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 7.970 * [taylor]: Taking taylor expansion of 3 in x 7.970 * [backup-simplify]: Simplify 3 into 3 7.970 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.970 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.970 * [taylor]: Taking taylor expansion of y in x 7.970 * [backup-simplify]: Simplify y into y 7.970 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.970 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.970 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.970 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.970 * [taylor]: Taking taylor expansion of x in x 7.970 * [backup-simplify]: Simplify 0 into 0 7.970 * [backup-simplify]: Simplify 1 into 1 7.971 * [backup-simplify]: Simplify (* 1 1) into 1 7.971 * [backup-simplify]: Simplify (/ 1 1) into 1 7.971 * [taylor]: Taking taylor expansion of (+ (* 3 (/ 1 (pow y 2))) (/ 1 (pow x 2))) in x 7.971 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in x 7.971 * [taylor]: Taking taylor expansion of 3 in x 7.971 * [backup-simplify]: Simplify 3 into 3 7.971 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.971 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.971 * [taylor]: Taking taylor expansion of y in x 7.971 * [backup-simplify]: Simplify y into y 7.971 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.971 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.971 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.971 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.971 * [taylor]: Taking taylor expansion of x in x 7.972 * [backup-simplify]: Simplify 0 into 0 7.972 * [backup-simplify]: Simplify 1 into 1 7.972 * [backup-simplify]: Simplify (* 1 1) into 1 7.972 * [backup-simplify]: Simplify (/ 1 1) into 1 7.973 * [backup-simplify]: Simplify (+ 0 1) into 1 7.973 * [taylor]: Taking taylor expansion of 1 in y 7.973 * [backup-simplify]: Simplify 1 into 1 7.973 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.974 * [backup-simplify]: Simplify (+ 0 0) into 0 7.975 * [taylor]: Taking taylor expansion of 0 in y 7.975 * [backup-simplify]: Simplify 0 into 0 7.975 * [backup-simplify]: Simplify (* 3 (/ 1 (pow y 2))) into (/ 3 (pow y 2)) 7.976 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.977 * [backup-simplify]: Simplify (+ (/ 3 (pow y 2)) 0) into (* 3 (/ 1 (pow y 2))) 7.977 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y 7.977 * [taylor]: Taking taylor expansion of 3 in y 7.977 * [backup-simplify]: Simplify 3 into 3 7.977 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.977 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.977 * [taylor]: Taking taylor expansion of y in y 7.977 * [backup-simplify]: Simplify 0 into 0 7.977 * [backup-simplify]: Simplify 1 into 1 7.977 * [backup-simplify]: Simplify (* 1 1) into 1 7.978 * [backup-simplify]: Simplify (/ 1 1) into 1 7.978 * [backup-simplify]: Simplify (* 3 1) into 3 7.978 * [backup-simplify]: Simplify 3 into 3 7.978 * [backup-simplify]: Simplify 1 into 1 7.979 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.979 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 7.979 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 (/ 1 (pow y 2)))) into 0 7.980 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.984 * [backup-simplify]: Simplify (+ 0 0) into 0 7.984 * [taylor]: Taking taylor expansion of 0 in y 7.984 * [backup-simplify]: Simplify 0 into 0 7.984 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.986 * [backup-simplify]: Simplify (+ (* 3 0) (* 0 1)) into 0 7.986 * [backup-simplify]: Simplify 0 into 0 7.986 * [backup-simplify]: Simplify 0 into 0 7.986 * [backup-simplify]: Simplify 0 into 0 7.986 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 7.987 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 7.988 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0 7.988 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.989 * [backup-simplify]: Simplify (+ 0 0) into 0 7.989 * [taylor]: Taking taylor expansion of 0 in y 7.989 * [backup-simplify]: Simplify 0 into 0 7.990 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.991 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (* 0 1))) into 0 7.991 * [backup-simplify]: Simplify 0 into 0 7.991 * [backup-simplify]: Simplify 0 into 0 7.991 * [backup-simplify]: Simplify 0 into 0 7.991 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 3 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (* 3 (pow y 2)) (pow x 2)) 7.991 * * * [progress]: simplifying candidates 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(* y y)) (* y y))))) (- (* (* y y) (* y y)) (* (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y)))) (- (* (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))))) (* (* y y) (* y y))) (- (* (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y)))) (* y y)) (* (sqrt 2) y) x (* -1 x) (* (sqrt 2) y) x (* -1 x) (+ (* 2 (pow y 2)) (pow x 2)) (+ (* 2 (pow y 2)) (pow x 2)) (+ (* 2 (pow y 2)) (pow x 2)) (+ (* 3 (pow y 2)) (pow x 2)) (+ (* 3 (pow y 2)) (pow x 2)) (+ (* 3 (pow y 2)) (pow x 2)) 7.998 * * [simplify]: iteration 0: 109 enodes 8.044 * * [simplify]: iteration 1: 269 enodes 8.137 * * [simplify]: iteration 2: 830 enodes 8.945 * * [simplify]: iteration 3: 4498 enodes 10.963 * * [simplify]: iteration complete: 5004 enodes 10.963 * * [simplify]: Extracting #0: cost 50 inf + 0 10.964 * * [simplify]: Extracting #1: cost 354 inf + 4 10.968 * * [simplify]: Extracting #2: cost 1217 inf + 898 10.982 * * [simplify]: Extracting #3: cost 1214 inf + 38436 11.046 * * [simplify]: Extracting #4: cost 406 inf + 251965 11.153 * * [simplify]: Extracting #5: cost 26 inf + 348891 11.278 * * [simplify]: Extracting #6: cost 0 inf + 359360 11.423 * * [simplify]: Extracting #7: cost 0 inf + 359320 11.580 * [simplify]: Simplified to: (log (sqrt (+ (* y y) (+ (* y y) (* x x))))) (exp (sqrt (+ (* y y) (+ (* y y) (* x x))))) (* (cbrt (sqrt (+ (* y y) (+ (* y y) (* x x))))) (cbrt (sqrt (+ (* y y) (+ (* y y) (* x x)))))) (cbrt (sqrt (+ (* y y) (+ (* y y) (* x x))))) (* (sqrt (+ (* y y) (+ (* y y) (* x x)))) (+ (* y y) (+ (* y y) (* x x)))) (fabs (cbrt (+ (* y y) (+ (* y y) (* x x))))) (sqrt (cbrt (+ (* y y) (+ (* y y) (* x x))))) (sqrt (sqrt (+ (* y y) (+ (* y y) (* x x))))) (sqrt (sqrt (+ (* y y) (+ (* y y) (* x x))))) 1 (sqrt (+ (* y y) (+ (* y y) (* x x)))) (sqrt (+ (* (* y y) (* (* y y) (* y y))) (* (* (+ (* y y) (* x x)) (+ 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x x))) (+ (* y y) (+ (* y y) (* x x))) (+ (* x x) (* (* y y) 3)) (+ (* x x) (* (* y y) 3)) (+ (* x x) (* (* y y) 3)) 11.596 * * * [progress]: adding candidates to table 12.101 * [progress]: [Phase 3 of 3] Extracting. 12.101 * * [regime]: Finding splitpoints for: (# # # # # # # #) 12.103 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (* x x) (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) y x) 12.103 * * * * [regimes]: Trying to branch on (* y y) from (# # # # # # # #) 12.168 * * * * [regimes]: Trying to branch on (* y y) from (# # # #) 12.209 * * * * [regimes]: Trying to branch on (* x x) from (# # # # # # # #) 12.289 * * * * [regimes]: Trying to branch on (+ (+ (+ (* x x) (* y y)) (* y y)) (* y y)) from (# # # # # # # #) 12.385 * * * * [regimes]: Trying to branch on y from (# # # # # # # #) 12.453 * * * * [regimes]: Trying to branch on x from (# # # # # # # #) 12.525 * * * [regime]: Found split indices: #