19.368 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.031 * * * [progress]: [2/2] Setting up program. 0.034 * [progress]: [Phase 2 of 3] Improving. 0.034 * [simplify]: Simplifying: (+ (+ (* x x) y) y) 0.034 * * [simplify]: Extracting # 0 : cost 0 0.034 * * [simplify]: Extracting # 1 : cost 0 0.034 * * [simplify]: Extracting # 2 : cost 0 0.034 * * [simplify]: Extracting # 3 : cost 0 0.034 * * [simplify]: Extracting # 4 : cost 0 0.034 * * [simplify]: Extracting # 5 : cost 0 0.034 * * [simplify]: iteration 0 : 5 enodes (cost 7 ) 0.036 * * [simplify]: Extracting # 0 : cost 0 0.036 * * [simplify]: Extracting # 1 : cost 0 0.036 * * [simplify]: Extracting # 2 : cost 0 0.036 * * [simplify]: iteration 1 : 9 enodes (cost 7 ) 0.039 * * [simplify]: Extracting # 0 : cost 0 0.039 * * [simplify]: Extracting # 1 : cost 0 0.039 * * [simplify]: Extracting # 2 : cost 0 0.039 * * [simplify]: iteration 2 : 12 enodes (cost 7 ) 0.042 * * [simplify]: Extracting # 0 : cost 0 0.042 * * [simplify]: iteration 3 : 13 enodes (cost 7 ) 0.046 * * [simplify]: Extracting # 0 : cost 0 0.046 * * [simplify]: iteration done: 13 enodes (cost 7 ) 0.046 * [simplify]: Simplified to: (+ (+ (* x x) y) y) 0.046 * * [progress]: iteration 1 / 4 0.046 * * * [progress]: picking best candidate 0.048 * * * * [pick]: Picked # 0.048 * * * [progress]: localizing error 0.057 * * * [progress]: generating rewritten candidates 0.058 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.125 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.142 * * * [progress]: generating series expansions 0.142 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.142 * [backup-simplify]: Simplify (+ (+ (* x x) y) y) into (+ (pow x 2) (* 2 y)) 0.142 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in (x y) around 0 0.142 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in y 0.142 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.142 * [taylor]: Taking taylor expansion of x in y 0.142 * [backup-simplify]: Simplify x into x 0.142 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.142 * [taylor]: Taking taylor expansion of 2 in y 0.142 * [backup-simplify]: Simplify 2 into 2 0.142 * [taylor]: Taking taylor expansion of y in y 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify 1 into 1 0.142 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.142 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.142 * [taylor]: Taking taylor expansion of x in x 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify 1 into 1 0.142 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.142 * [taylor]: Taking taylor expansion of 2 in x 0.143 * [backup-simplify]: Simplify 2 into 2 0.143 * [taylor]: Taking taylor expansion of y in x 0.143 * [backup-simplify]: Simplify y into y 0.143 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.143 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.143 * [taylor]: Taking taylor expansion of x in x 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 1 into 1 0.143 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.143 * [taylor]: Taking taylor expansion of 2 in x 0.143 * [backup-simplify]: Simplify 2 into 2 0.143 * [taylor]: Taking taylor expansion of y in x 0.143 * [backup-simplify]: Simplify y into y 0.143 * [backup-simplify]: Simplify (* 2 y) into (* 2 y) 0.143 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 0.143 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.143 * [taylor]: Taking taylor expansion of 2 in y 0.143 * [backup-simplify]: Simplify 2 into 2 0.143 * [taylor]: Taking taylor expansion of y in y 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 1 into 1 0.144 * [backup-simplify]: Simplify (* 2 0) into 0 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 y)) into 0 0.152 * [backup-simplify]: Simplify (+ 0 0) into 0 0.152 * [taylor]: Taking taylor expansion of 0 in y 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 0.153 * [backup-simplify]: Simplify 2 into 2 0.153 * [backup-simplify]: Simplify (* 1 1) into 1 0.154 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 y))) into 0 0.154 * [backup-simplify]: Simplify (+ 1 0) into 1 0.154 * [taylor]: Taking taylor expansion of 1 in y 0.154 * [backup-simplify]: Simplify 1 into 1 0.154 * [backup-simplify]: Simplify 1 into 1 0.154 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 0.156 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.158 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.158 * [backup-simplify]: Simplify (+ 0 0) into 0 0.158 * [taylor]: Taking taylor expansion of 0 in y 0.158 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.159 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 2 (* y 1))) into (+ (pow x 2) (* 2 y)) 0.160 * [backup-simplify]: Simplify (+ (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) (/ 1 y)) into (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) 0.160 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.160 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.160 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.160 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.160 * [taylor]: Taking taylor expansion of x in y 0.160 * [backup-simplify]: Simplify x into x 0.160 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.161 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.161 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.161 * [taylor]: Taking taylor expansion of 2 in y 0.161 * [backup-simplify]: Simplify 2 into 2 0.161 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.161 * [taylor]: Taking taylor expansion of y in y 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify 1 into 1 0.161 * [backup-simplify]: Simplify (/ 1 1) into 1 0.161 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.161 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.161 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.161 * [taylor]: Taking taylor expansion of x in x 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify 1 into 1 0.162 * [backup-simplify]: Simplify (* 1 1) into 1 0.162 * [backup-simplify]: Simplify (/ 1 1) into 1 0.162 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.162 * [taylor]: Taking taylor expansion of 2 in x 0.162 * [backup-simplify]: Simplify 2 into 2 0.162 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.162 * [taylor]: Taking taylor expansion of y in x 0.162 * [backup-simplify]: Simplify y into y 0.163 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.163 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.163 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.163 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.163 * [taylor]: Taking taylor expansion of x in x 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 (/ 1 1) into 1 0.164 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.164 * [taylor]: Taking taylor expansion of 2 in x 0.164 * [backup-simplify]: Simplify 2 into 2 0.164 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.164 * [taylor]: Taking taylor expansion of y in x 0.164 * [backup-simplify]: Simplify y into y 0.164 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.164 * [backup-simplify]: Simplify (+ 1 0) into 1 0.164 * [taylor]: Taking taylor expansion of 1 in y 0.164 * [backup-simplify]: Simplify 1 into 1 0.165 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.166 * [backup-simplify]: Simplify (+ 0 0) into 0 0.166 * [taylor]: Taking taylor expansion of 0 in y 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 1 into 1 0.167 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.168 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 0.168 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 0.168 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.169 * [taylor]: Taking taylor expansion of 2 in y 0.169 * [backup-simplify]: Simplify 2 into 2 0.169 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.169 * [taylor]: Taking taylor expansion of y in y 0.169 * [backup-simplify]: Simplify 0 into 0 0.169 * [backup-simplify]: Simplify 1 into 1 0.169 * [backup-simplify]: Simplify (/ 1 1) into 1 0.170 * [backup-simplify]: Simplify (* 2 1) into 2 0.170 * [backup-simplify]: Simplify 2 into 2 0.170 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.172 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.172 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 0.173 * [backup-simplify]: Simplify (+ 0 0) into 0 0.173 * [taylor]: Taking taylor expansion of 0 in y 0.173 * [backup-simplify]: Simplify 0 into 0 0.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.174 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.174 * [backup-simplify]: Simplify 0 into 0 0.174 * [backup-simplify]: Simplify 0 into 0 0.174 * [backup-simplify]: Simplify 0 into 0 0.176 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.177 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.178 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.179 * [backup-simplify]: Simplify (+ 0 0) into 0 0.179 * [taylor]: Taking taylor expansion of 0 in y 0.179 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify (+ (* 2 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) (* 2 y)) 0.180 * [backup-simplify]: Simplify (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))) (/ 1 (- y))) into (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) 0.180 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.180 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.180 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.180 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.180 * [taylor]: Taking taylor expansion of x in y 0.180 * [backup-simplify]: Simplify x into x 0.180 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.180 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.180 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.180 * [taylor]: Taking taylor expansion of 2 in y 0.180 * [backup-simplify]: Simplify 2 into 2 0.180 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.180 * [taylor]: Taking taylor expansion of y in y 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify 1 into 1 0.181 * [backup-simplify]: Simplify (/ 1 1) into 1 0.181 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.181 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.181 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.181 * [taylor]: Taking taylor expansion of x in x 0.181 * [backup-simplify]: Simplify 0 into 0 0.181 * [backup-simplify]: Simplify 1 into 1 0.181 * [backup-simplify]: Simplify (* 1 1) into 1 0.182 * [backup-simplify]: Simplify (/ 1 1) into 1 0.182 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.182 * [taylor]: Taking taylor expansion of 2 in x 0.182 * [backup-simplify]: Simplify 2 into 2 0.182 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.182 * [taylor]: Taking taylor expansion of y in x 0.182 * [backup-simplify]: Simplify y into y 0.182 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.182 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.182 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.182 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.182 * [taylor]: Taking taylor expansion of x in x 0.182 * [backup-simplify]: Simplify 0 into 0 0.182 * [backup-simplify]: Simplify 1 into 1 0.182 * [backup-simplify]: Simplify (* 1 1) into 1 0.183 * [backup-simplify]: Simplify (/ 1 1) into 1 0.183 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.183 * [taylor]: Taking taylor expansion of 2 in x 0.183 * [backup-simplify]: Simplify 2 into 2 0.183 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.183 * [taylor]: Taking taylor expansion of y in x 0.183 * [backup-simplify]: Simplify y into y 0.183 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.184 * [backup-simplify]: Simplify (+ 1 0) into 1 0.184 * [taylor]: Taking taylor expansion of 1 in y 0.184 * [backup-simplify]: Simplify 1 into 1 0.185 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.186 * [backup-simplify]: Simplify (+ 0 0) into 0 0.186 * [taylor]: Taking taylor expansion of 0 in y 0.186 * [backup-simplify]: Simplify 0 into 0 0.186 * [backup-simplify]: Simplify 1 into 1 0.187 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.188 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 0.188 * [backup-simplify]: Simplify (- (/ 2 y)) into (- (* 2 (/ 1 y))) 0.188 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 y)))) into (- (* 2 (/ 1 y))) 0.188 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 0.188 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.188 * [taylor]: Taking taylor expansion of 2 in y 0.188 * [backup-simplify]: Simplify 2 into 2 0.188 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.188 * [taylor]: Taking taylor expansion of y in y 0.189 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify 1 into 1 0.189 * [backup-simplify]: Simplify (/ 1 1) into 1 0.189 * [backup-simplify]: Simplify (* 2 1) into 2 0.190 * [backup-simplify]: Simplify (- 2) into -2 0.190 * [backup-simplify]: Simplify -2 into -2 0.190 * [backup-simplify]: Simplify 0 into 0 0.190 * [backup-simplify]: Simplify 0 into 0 0.191 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.193 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.193 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 0.194 * [backup-simplify]: Simplify (- 0) into 0 0.194 * [backup-simplify]: Simplify (+ 0 0) into 0 0.194 * [taylor]: Taking taylor expansion of 0 in y 0.194 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.196 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.196 * [backup-simplify]: Simplify (- 0) into 0 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.199 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.200 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.200 * [backup-simplify]: Simplify (- 0) into 0 0.200 * [backup-simplify]: Simplify (+ 0 0) into 0 0.200 * [taylor]: Taking taylor expansion of 0 in y 0.200 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify 0 into 0 0.201 * [backup-simplify]: Simplify (+ (* -2 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) (* 2 y)) 0.201 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.201 * [backup-simplify]: Simplify (+ (* x x) y) into (+ (pow x 2) y) 0.201 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 0.201 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.201 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.201 * [taylor]: Taking taylor expansion of x in y 0.201 * [backup-simplify]: Simplify x into x 0.201 * [taylor]: Taking taylor expansion of y in y 0.201 * [backup-simplify]: Simplify 0 into 0 0.201 * [backup-simplify]: Simplify 1 into 1 0.201 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.201 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.201 * [taylor]: Taking taylor expansion of x in x 0.201 * [backup-simplify]: Simplify 0 into 0 0.201 * [backup-simplify]: Simplify 1 into 1 0.201 * [taylor]: Taking taylor expansion of y in x 0.201 * [backup-simplify]: Simplify y into y 0.201 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.201 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.201 * [taylor]: Taking taylor expansion of x in x 0.201 * [backup-simplify]: Simplify 0 into 0 0.201 * [backup-simplify]: Simplify 1 into 1 0.201 * [taylor]: Taking taylor expansion of y in x 0.201 * [backup-simplify]: Simplify y into y 0.201 * [backup-simplify]: Simplify (+ 0 y) into y 0.201 * [taylor]: Taking taylor expansion of y in y 0.201 * [backup-simplify]: Simplify 0 into 0 0.201 * [backup-simplify]: Simplify 1 into 1 0.201 * [backup-simplify]: Simplify 0 into 0 0.202 * [backup-simplify]: Simplify (+ 0 0) into 0 0.202 * [taylor]: Taking taylor expansion of 0 in y 0.202 * [backup-simplify]: Simplify 0 into 0 0.202 * [backup-simplify]: Simplify 0 into 0 0.202 * [backup-simplify]: Simplify 1 into 1 0.202 * [backup-simplify]: Simplify (* 1 1) into 1 0.202 * [backup-simplify]: Simplify (+ 1 0) into 1 0.202 * [taylor]: Taking taylor expansion of 1 in y 0.202 * [backup-simplify]: Simplify 1 into 1 0.202 * [backup-simplify]: Simplify 1 into 1 0.202 * [backup-simplify]: Simplify 0 into 0 0.203 * [backup-simplify]: Simplify 0 into 0 0.203 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.203 * [backup-simplify]: Simplify (+ 0 0) into 0 0.203 * [taylor]: Taking taylor expansion of 0 in y 0.203 * [backup-simplify]: Simplify 0 into 0 0.203 * [backup-simplify]: Simplify 0 into 0 0.203 * [backup-simplify]: Simplify 0 into 0 0.203 * [backup-simplify]: Simplify 0 into 0 0.203 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 1 (* y 1))) into (+ (pow x 2) y) 0.204 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) into (+ (/ 1 (pow x 2)) (/ 1 y)) 0.204 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.204 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.204 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.204 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.204 * [taylor]: Taking taylor expansion of x in y 0.204 * [backup-simplify]: Simplify x into x 0.204 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.204 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.204 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.204 * [taylor]: Taking taylor expansion of y in y 0.204 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify 1 into 1 0.204 * [backup-simplify]: Simplify (/ 1 1) into 1 0.204 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 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 (/ 1 y) in x 0.205 * [taylor]: Taking taylor expansion of y in x 0.205 * [backup-simplify]: Simplify y into y 0.205 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.205 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.205 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.205 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.205 * [taylor]: Taking taylor expansion of x in x 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 y) in x 0.206 * [taylor]: Taking taylor expansion of y in x 0.206 * [backup-simplify]: Simplify y into y 0.206 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.206 * [backup-simplify]: Simplify (+ 1 0) into 1 0.206 * [taylor]: Taking taylor expansion of 1 in y 0.206 * [backup-simplify]: Simplify 1 into 1 0.207 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.207 * [backup-simplify]: Simplify (+ 0 0) into 0 0.207 * [taylor]: Taking taylor expansion of 0 in y 0.207 * [backup-simplify]: Simplify 0 into 0 0.207 * [backup-simplify]: Simplify 1 into 1 0.208 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.209 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.209 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.209 * [taylor]: Taking taylor expansion of y in y 0.209 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify 1 into 1 0.209 * [backup-simplify]: Simplify (/ 1 1) into 1 0.209 * [backup-simplify]: Simplify 1 into 1 0.209 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify 0 into 0 0.210 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.210 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.210 * [backup-simplify]: Simplify (+ 0 0) into 0 0.210 * [taylor]: Taking taylor expansion of 0 in y 0.211 * [backup-simplify]: Simplify 0 into 0 0.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.211 * [backup-simplify]: Simplify 0 into 0 0.211 * [backup-simplify]: Simplify 0 into 0 0.211 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.212 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.213 * [backup-simplify]: Simplify (+ 0 0) into 0 0.213 * [taylor]: Taking taylor expansion of 0 in y 0.213 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) y) 0.213 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))) into (- (/ 1 (pow x 2)) (/ 1 y)) 0.213 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.213 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.213 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.213 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.213 * [taylor]: Taking taylor expansion of x in y 0.213 * [backup-simplify]: Simplify x into x 0.213 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.213 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.213 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.213 * [taylor]: Taking taylor expansion of y in y 0.213 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify 1 into 1 0.214 * [backup-simplify]: Simplify (/ 1 1) into 1 0.214 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 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 0.214 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.214 * [taylor]: Taking taylor expansion of y in x 0.214 * [backup-simplify]: Simplify y into y 0.214 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.214 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.214 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.215 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.215 * [taylor]: Taking taylor expansion of x in x 0.215 * [backup-simplify]: Simplify 0 into 0 0.215 * [backup-simplify]: Simplify 1 into 1 0.215 * [backup-simplify]: Simplify (* 1 1) into 1 0.215 * [backup-simplify]: Simplify (/ 1 1) into 1 0.215 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.215 * [taylor]: Taking taylor expansion of y in x 0.215 * [backup-simplify]: Simplify y into y 0.215 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.215 * [backup-simplify]: Simplify (+ 1 0) into 1 0.215 * [taylor]: Taking taylor expansion of 1 in y 0.215 * [backup-simplify]: Simplify 1 into 1 0.216 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.217 * [backup-simplify]: Simplify (+ 0 0) into 0 0.217 * [taylor]: Taking taylor expansion of 0 in y 0.217 * [backup-simplify]: Simplify 0 into 0 0.217 * [backup-simplify]: Simplify 1 into 1 0.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.218 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.218 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.218 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.218 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.218 * [taylor]: Taking taylor expansion of y in y 0.218 * [backup-simplify]: Simplify 0 into 0 0.218 * [backup-simplify]: Simplify 1 into 1 0.218 * [backup-simplify]: Simplify (/ 1 1) into 1 0.218 * [backup-simplify]: Simplify (- 1) into -1 0.218 * [backup-simplify]: Simplify -1 into -1 0.218 * [backup-simplify]: Simplify 0 into 0 0.218 * [backup-simplify]: Simplify 0 into 0 0.219 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.220 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.220 * [backup-simplify]: Simplify (- 0) into 0 0.220 * [backup-simplify]: Simplify (+ 0 0) into 0 0.220 * [taylor]: Taking taylor expansion of 0 in y 0.220 * [backup-simplify]: Simplify 0 into 0 0.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.221 * [backup-simplify]: Simplify (- 0) into 0 0.221 * [backup-simplify]: Simplify 0 into 0 0.221 * [backup-simplify]: Simplify 0 into 0 0.221 * [backup-simplify]: Simplify 0 into 0 0.222 * [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 0.222 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.222 * [backup-simplify]: Simplify (- 0) into 0 0.223 * [backup-simplify]: Simplify (+ 0 0) into 0 0.223 * [taylor]: Taking taylor expansion of 0 in y 0.223 * [backup-simplify]: Simplify 0 into 0 0.223 * [backup-simplify]: Simplify 0 into 0 0.223 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) y) 0.223 * * * [progress]: simplifying candidates 0.224 * [simplify]: Simplifying: (* (* (exp (* x x)) (exp y)) (exp y)) (* (exp (+ (* x x) y)) (exp y)) (log (+ (+ (* x x) y) y)) (exp (+ (+ (* x x) y) y)) (* (cbrt (+ (+ (* x x) y) y)) (cbrt (+ (+ (* x x) y) y))) (cbrt (+ (+ (* x x) y) y)) (* (* (+ (+ (* x x) y) y) (+ (+ (* x x) y) y)) (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)) (+ (pow (+ (* x x) y) 3) (pow y 3)) (+ (* (+ (* x x) y) (+ (* x x) y)) (- (* y y) (* (+ (* x x) y) y))) (- (* (+ (* x x) y) (+ (* x x) y)) (* y y)) (- (+ (* x x) y) y) (+ (+ (* x x) y) y) (+ y y) (* (exp (* x x)) (exp y)) (log (+ (* x x) y)) (exp (+ (* x x) y)) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (* (* (+ (* x x) y) (+ (* x x) y)) (+ (* x x) y)) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (+ (pow (* x x) 3) (pow y 3)) (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))) (- (* (* x x) (* x x)) (* y y)) (- (* x x) y) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) 0.224 * * [simplify]: Extracting # 0 : cost 0 0.224 * * [simplify]: Extracting # 1 : cost 0 0.224 * * [simplify]: Extracting # 2 : cost 0 0.224 * * [simplify]: Extracting # 3 : cost 0 0.224 * * [simplify]: Extracting # 4 : cost 0 0.225 * * [simplify]: Extracting # 5 : cost 0 0.225 * * [simplify]: Extracting # 6 : cost 0 0.225 * * [simplify]: iteration 0 : 48 enodes (cost 310 ) 0.239 * * [simplify]: Extracting # 0 : cost 0 0.239 * * [simplify]: Extracting # 1 : cost 0 0.240 * * [simplify]: Extracting # 2 : cost 0 0.240 * * [simplify]: Extracting # 3 : cost 0 0.240 * * [simplify]: Extracting # 4 : cost 0 0.241 * * [simplify]: iteration 1 : 134 enodes (cost 292 ) 0.289 * * [simplify]: Extracting # 0 : cost 0 0.290 * * [simplify]: Extracting # 1 : cost 0 0.290 * * [simplify]: Extracting # 2 : cost 0 0.290 * * [simplify]: Extracting # 3 : cost 0 0.291 * * [simplify]: Extracting # 4 : cost 0 0.291 * * [simplify]: iteration 2 : 387 enodes (cost 262 ) 0.572 * * [simplify]: Extracting # 0 : cost 0 0.574 * * [simplify]: Extracting # 1 : cost 0 0.575 * * [simplify]: Extracting # 2 : cost 0 0.576 * * [simplify]: Extracting # 3 : cost 0 0.577 * * [simplify]: Extracting # 4 : cost 0 0.577 * * [simplify]: iteration 3 : 1187 enodes (cost 252 ) 1.477 * * [simplify]: Extracting # 0 : cost 0 1.488 * * [simplify]: Extracting # 1 : cost 0 1.499 * * [simplify]: Extracting # 2 : cost 0 1.509 * * [simplify]: Extracting # 3 : cost 0 1.519 * * [simplify]: Extracting # 4 : cost 0 1.530 * * [simplify]: iteration done: 5000 enodes (cost 250 ) 1.530 * [simplify]: Simplified to: (exp (+ (pow x 2) (* 2 y))) (exp (+ (pow x 2) (* 2 y))) (log (+ (+ (* x x) y) y)) (exp (+ (pow x 2) (* 2 y))) (* (cbrt (+ (+ (* x x) y) y)) (cbrt (+ (+ (* x x) y) y))) (cbrt (+ (+ (* x x) y) y)) (pow (+ (pow x 2) (* 2 y)) 3) (sqrt (+ (+ (* x x) y) y)) (sqrt (+ (+ (* x x) y) y)) (+ (pow (+ (* x x) y) 3) (pow y 3)) (+ (* (+ (* x x) y) y) (pow x 4)) (* (* x x) (+ (pow x 2) (* 2 y))) (* x x) (+ (pow x 2) (* 2 y)) (* 2 y) (exp (+ (* x x) y)) (log (+ (* x x) y)) (exp (+ (* x x) y)) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (pow (+ (pow x 2) y) 3) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (+ (pow x 6) (pow y 3)) (+ (* y (- y (* x x))) (pow x 4)) (- (pow x 4) (* y y)) (- (* x x) y) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (* x x) y) (+ (* x x) y) (+ (* x x) y) 1.530 * * * [progress]: adding candidates to table 1.606 * * [progress]: iteration 2 / 4 1.606 * * * [progress]: picking best candidate 1.609 * * * * [pick]: Picked # 1.609 * * * [progress]: localizing error 1.623 * * * [progress]: generating rewritten candidates 1.623 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 1.648 * * * [progress]: generating series expansions 1.648 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 1.649 * [backup-simplify]: Simplify (+ (pow x 2) (* 2 y)) into (+ (pow x 2) (* 2 y)) 1.649 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in (x y) around 0 1.649 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in y 1.649 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.649 * [taylor]: Taking taylor expansion of x in y 1.649 * [backup-simplify]: Simplify x into x 1.649 * [taylor]: Taking taylor expansion of (* 2 y) in y 1.649 * [taylor]: Taking taylor expansion of 2 in y 1.649 * [backup-simplify]: Simplify 2 into 2 1.649 * [taylor]: Taking taylor expansion of y in y 1.649 * [backup-simplify]: Simplify 0 into 0 1.649 * [backup-simplify]: Simplify 1 into 1 1.649 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 1.649 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.649 * [taylor]: Taking taylor expansion of x in x 1.649 * [backup-simplify]: Simplify 0 into 0 1.649 * [backup-simplify]: Simplify 1 into 1 1.649 * [taylor]: Taking taylor expansion of (* 2 y) in x 1.649 * [taylor]: Taking taylor expansion of 2 in x 1.649 * [backup-simplify]: Simplify 2 into 2 1.649 * [taylor]: Taking taylor expansion of y in x 1.649 * [backup-simplify]: Simplify y into y 1.649 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 1.649 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.649 * [taylor]: Taking taylor expansion of x in x 1.650 * [backup-simplify]: Simplify 0 into 0 1.650 * [backup-simplify]: Simplify 1 into 1 1.650 * [taylor]: Taking taylor expansion of (* 2 y) in x 1.650 * [taylor]: Taking taylor expansion of 2 in x 1.650 * [backup-simplify]: Simplify 2 into 2 1.650 * [taylor]: Taking taylor expansion of y in x 1.650 * [backup-simplify]: Simplify y into y 1.650 * [backup-simplify]: Simplify (* 2 y) into (* 2 y) 1.650 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 1.650 * [taylor]: Taking taylor expansion of (* 2 y) in y 1.650 * [taylor]: Taking taylor expansion of 2 in y 1.650 * [backup-simplify]: Simplify 2 into 2 1.650 * [taylor]: Taking taylor expansion of y in y 1.650 * [backup-simplify]: Simplify 0 into 0 1.650 * [backup-simplify]: Simplify 1 into 1 1.651 * [backup-simplify]: Simplify (* 2 0) into 0 1.651 * [backup-simplify]: Simplify 0 into 0 1.651 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 y)) into 0 1.652 * [backup-simplify]: Simplify (+ 0 0) into 0 1.652 * [taylor]: Taking taylor expansion of 0 in y 1.652 * [backup-simplify]: Simplify 0 into 0 1.652 * [backup-simplify]: Simplify 0 into 0 1.653 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 1.653 * [backup-simplify]: Simplify 2 into 2 1.653 * [backup-simplify]: Simplify (* 1 1) into 1 1.654 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 y))) into 0 1.655 * [backup-simplify]: Simplify (+ 1 0) into 1 1.655 * [taylor]: Taking taylor expansion of 1 in y 1.655 * [backup-simplify]: Simplify 1 into 1 1.655 * [backup-simplify]: Simplify 1 into 1 1.655 * [backup-simplify]: Simplify 0 into 0 1.656 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1.656 * [backup-simplify]: Simplify 0 into 0 1.657 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.658 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.658 * [backup-simplify]: Simplify (+ 0 0) into 0 1.658 * [taylor]: Taking taylor expansion of 0 in y 1.658 * [backup-simplify]: Simplify 0 into 0 1.658 * [backup-simplify]: Simplify 0 into 0 1.658 * [backup-simplify]: Simplify 0 into 0 1.658 * [backup-simplify]: Simplify 0 into 0 1.659 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.659 * [backup-simplify]: Simplify 0 into 0 1.660 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 2 (* y 1))) into (+ (pow x 2) (* 2 y)) 1.660 * [backup-simplify]: Simplify (+ (pow (/ 1 x) 2) (* 2 (/ 1 y))) into (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) 1.660 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 1.660 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 1.660 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.660 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.660 * [taylor]: Taking taylor expansion of x in y 1.660 * [backup-simplify]: Simplify x into x 1.660 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.660 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.660 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 1.660 * [taylor]: Taking taylor expansion of 2 in y 1.660 * [backup-simplify]: Simplify 2 into 2 1.660 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.660 * [taylor]: Taking taylor expansion of y in y 1.660 * [backup-simplify]: Simplify 0 into 0 1.660 * [backup-simplify]: Simplify 1 into 1 1.661 * [backup-simplify]: Simplify (/ 1 1) into 1 1.661 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 1.661 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.661 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.661 * [taylor]: Taking taylor expansion of x in x 1.661 * [backup-simplify]: Simplify 0 into 0 1.661 * [backup-simplify]: Simplify 1 into 1 1.661 * [backup-simplify]: Simplify (* 1 1) into 1 1.661 * [backup-simplify]: Simplify (/ 1 1) into 1 1.661 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 1.661 * [taylor]: Taking taylor expansion of 2 in x 1.661 * [backup-simplify]: Simplify 2 into 2 1.661 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.661 * [taylor]: Taking taylor expansion of y in x 1.661 * [backup-simplify]: Simplify y into y 1.661 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.661 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 1.661 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.661 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.661 * [taylor]: Taking taylor expansion of x in x 1.662 * [backup-simplify]: Simplify 0 into 0 1.662 * [backup-simplify]: Simplify 1 into 1 1.662 * [backup-simplify]: Simplify (* 1 1) into 1 1.662 * [backup-simplify]: Simplify (/ 1 1) into 1 1.662 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 1.662 * [taylor]: Taking taylor expansion of 2 in x 1.662 * [backup-simplify]: Simplify 2 into 2 1.662 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.662 * [taylor]: Taking taylor expansion of y in x 1.662 * [backup-simplify]: Simplify y into y 1.662 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.662 * [backup-simplify]: Simplify (+ 1 0) into 1 1.662 * [taylor]: Taking taylor expansion of 1 in y 1.662 * [backup-simplify]: Simplify 1 into 1 1.663 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.664 * [backup-simplify]: Simplify (+ 0 0) into 0 1.664 * [taylor]: Taking taylor expansion of 0 in y 1.664 * [backup-simplify]: Simplify 0 into 0 1.664 * [backup-simplify]: Simplify 1 into 1 1.664 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.665 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.665 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 1.665 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 1.665 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 1.665 * [taylor]: Taking taylor expansion of 2 in y 1.665 * [backup-simplify]: Simplify 2 into 2 1.665 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.665 * [taylor]: Taking taylor expansion of y in y 1.665 * [backup-simplify]: Simplify 0 into 0 1.665 * [backup-simplify]: Simplify 1 into 1 1.666 * [backup-simplify]: Simplify (/ 1 1) into 1 1.666 * [backup-simplify]: Simplify (* 2 1) into 2 1.666 * [backup-simplify]: Simplify 2 into 2 1.666 * [backup-simplify]: Simplify 0 into 0 1.666 * [backup-simplify]: Simplify 0 into 0 1.667 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.668 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.669 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 1.669 * [backup-simplify]: Simplify (+ 0 0) into 0 1.669 * [taylor]: Taking taylor expansion of 0 in y 1.669 * [backup-simplify]: Simplify 0 into 0 1.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.671 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.671 * [backup-simplify]: Simplify 0 into 0 1.671 * [backup-simplify]: Simplify 0 into 0 1.671 * [backup-simplify]: Simplify 0 into 0 1.672 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.673 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.673 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.674 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 1.674 * [backup-simplify]: Simplify (+ 0 0) into 0 1.674 * [taylor]: Taking taylor expansion of 0 in y 1.674 * [backup-simplify]: Simplify 0 into 0 1.675 * [backup-simplify]: Simplify 0 into 0 1.675 * [backup-simplify]: Simplify (+ (* 2 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) (* 2 y)) 1.675 * [backup-simplify]: Simplify (+ (pow (/ 1 (- x)) 2) (* 2 (/ 1 (- y)))) into (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) 1.675 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 1.675 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 1.675 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.675 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.675 * [taylor]: Taking taylor expansion of x in y 1.675 * [backup-simplify]: Simplify x into x 1.676 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.676 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.676 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 1.676 * [taylor]: Taking taylor expansion of 2 in y 1.676 * [backup-simplify]: Simplify 2 into 2 1.676 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.676 * [taylor]: Taking taylor expansion of y in y 1.676 * [backup-simplify]: Simplify 0 into 0 1.676 * [backup-simplify]: Simplify 1 into 1 1.676 * [backup-simplify]: Simplify (/ 1 1) into 1 1.676 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 1.676 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.676 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.676 * [taylor]: Taking taylor expansion of x in x 1.677 * [backup-simplify]: Simplify 0 into 0 1.677 * [backup-simplify]: Simplify 1 into 1 1.677 * [backup-simplify]: Simplify (* 1 1) into 1 1.677 * [backup-simplify]: Simplify (/ 1 1) into 1 1.677 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 1.677 * [taylor]: Taking taylor expansion of 2 in x 1.677 * [backup-simplify]: Simplify 2 into 2 1.677 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.677 * [taylor]: Taking taylor expansion of y in x 1.677 * [backup-simplify]: Simplify y into y 1.678 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.678 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 1.678 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.678 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.678 * [taylor]: Taking taylor expansion of x in x 1.678 * [backup-simplify]: Simplify 0 into 0 1.678 * [backup-simplify]: Simplify 1 into 1 1.678 * [backup-simplify]: Simplify (* 1 1) into 1 1.678 * [backup-simplify]: Simplify (/ 1 1) into 1 1.678 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 1.678 * [taylor]: Taking taylor expansion of 2 in x 1.679 * [backup-simplify]: Simplify 2 into 2 1.679 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.679 * [taylor]: Taking taylor expansion of y in x 1.679 * [backup-simplify]: Simplify y into y 1.679 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.679 * [backup-simplify]: Simplify (+ 1 0) into 1 1.679 * [taylor]: Taking taylor expansion of 1 in y 1.679 * [backup-simplify]: Simplify 1 into 1 1.680 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.681 * [backup-simplify]: Simplify (+ 0 0) into 0 1.681 * [taylor]: Taking taylor expansion of 0 in y 1.681 * [backup-simplify]: Simplify 0 into 0 1.681 * [backup-simplify]: Simplify 1 into 1 1.682 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.683 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 1.683 * [backup-simplify]: Simplify (- (/ 2 y)) into (- (* 2 (/ 1 y))) 1.683 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 y)))) into (- (* 2 (/ 1 y))) 1.683 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 1.683 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 1.683 * [taylor]: Taking taylor expansion of 2 in y 1.683 * [backup-simplify]: Simplify 2 into 2 1.683 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.683 * [taylor]: Taking taylor expansion of y in y 1.683 * [backup-simplify]: Simplify 0 into 0 1.683 * [backup-simplify]: Simplify 1 into 1 1.684 * [backup-simplify]: Simplify (/ 1 1) into 1 1.684 * [backup-simplify]: Simplify (* 2 1) into 2 1.685 * [backup-simplify]: Simplify (- 2) into -2 1.685 * [backup-simplify]: Simplify -2 into -2 1.685 * [backup-simplify]: Simplify 0 into 0 1.685 * [backup-simplify]: Simplify 0 into 0 1.686 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.687 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.687 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 1.688 * [backup-simplify]: Simplify (- 0) into 0 1.688 * [backup-simplify]: Simplify (+ 0 0) into 0 1.688 * [taylor]: Taking taylor expansion of 0 in y 1.688 * [backup-simplify]: Simplify 0 into 0 1.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.690 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 1.690 * [backup-simplify]: Simplify (- 0) into 0 1.690 * [backup-simplify]: Simplify 0 into 0 1.690 * [backup-simplify]: Simplify 0 into 0 1.690 * [backup-simplify]: Simplify 0 into 0 1.691 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.692 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.693 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 1.694 * [backup-simplify]: Simplify (- 0) into 0 1.694 * [backup-simplify]: Simplify (+ 0 0) into 0 1.694 * [taylor]: Taking taylor expansion of 0 in y 1.694 * [backup-simplify]: Simplify 0 into 0 1.694 * [backup-simplify]: Simplify 0 into 0 1.695 * [backup-simplify]: Simplify (+ (* -2 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) (* 2 y)) 1.695 * * * [progress]: simplifying candidates 1.695 * [simplify]: Simplifying: (* (exp (pow x 2)) (exp (* 2 y))) (log (+ (pow x 2) (* 2 y))) (exp (+ (pow x 2) (* 2 y))) (* (cbrt (+ (pow x 2) (* 2 y))) (cbrt (+ (pow x 2) (* 2 y)))) (cbrt (+ (pow x 2) (* 2 y))) (* (* (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y))) (+ (pow x 2) (* 2 y))) (sqrt (+ (pow x 2) (* 2 y))) (sqrt (+ (pow x 2) (* 2 y))) (+ (pow (pow x 2) 3) (pow (* 2 y) 3)) (+ (* (pow x 2) (pow x 2)) (- (* (* 2 y) (* 2 y)) (* (pow x 2) (* 2 y)))) (- (* (pow x 2) (pow x 2)) (* (* 2 y) (* 2 y))) (- (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) 1.696 * * [simplify]: Extracting # 0 : cost 0 1.696 * * [simplify]: Extracting # 1 : cost 0 1.696 * * [simplify]: Extracting # 2 : cost 0 1.696 * * [simplify]: Extracting # 3 : cost 0 1.696 * * [simplify]: Extracting # 4 : cost 0 1.696 * * [simplify]: Extracting # 5 : cost 0 1.696 * * [simplify]: iteration 0 : 27 enodes (cost 166 ) 1.710 * * [simplify]: Extracting # 0 : cost 0 1.710 * * [simplify]: Extracting # 1 : cost 0 1.710 * * [simplify]: Extracting # 2 : cost 0 1.710 * * [simplify]: Extracting # 3 : cost 0 1.711 * * [simplify]: Extracting # 4 : cost 0 1.711 * * [simplify]: iteration 1 : 89 enodes (cost 151 ) 1.749 * * [simplify]: Extracting # 0 : cost 0 1.750 * * [simplify]: Extracting # 1 : cost 0 1.750 * * [simplify]: Extracting # 2 : cost 0 1.750 * * [simplify]: Extracting # 3 : cost 0 1.750 * * [simplify]: Extracting # 4 : cost 0 1.751 * * [simplify]: Extracting # 5 : cost 0 1.751 * * [simplify]: iteration 2 : 293 enodes (cost 137 ) 1.858 * * [simplify]: Extracting # 0 : cost 0 1.859 * * [simplify]: Extracting # 1 : cost 0 1.859 * * [simplify]: Extracting # 2 : cost 0 1.860 * * [simplify]: Extracting # 3 : cost 0 1.861 * * [simplify]: Extracting # 4 : cost 0 1.861 * * [simplify]: iteration 3 : 739 enodes (cost 135 ) 2.430 * * [simplify]: Extracting # 0 : cost 0 2.436 * * [simplify]: Extracting # 1 : cost 0 2.438 * * [simplify]: Extracting # 2 : cost 0 2.439 * * [simplify]: Extracting # 3 : cost 0 2.441 * * [simplify]: Extracting # 4 : cost 0 2.442 * * [simplify]: iteration 4 : 1864 enodes (cost 135 ) 4.359 * * [simplify]: Extracting # 0 : cost 0 4.366 * * [simplify]: Extracting # 1 : cost 0 4.371 * * [simplify]: Extracting # 2 : cost 0 4.376 * * [simplify]: Extracting # 3 : cost 0 4.380 * * [simplify]: Extracting # 4 : cost 0 4.391 * * [simplify]: iteration 5 : 4607 enodes (cost 135 ) 6.158 * * [simplify]: Extracting # 0 : cost 0 6.162 * * [simplify]: Extracting # 1 : cost 0 6.165 * * [simplify]: Extracting # 2 : cost 0 6.168 * * [simplify]: iteration done: 5000 enodes (cost 135 ) 6.169 * [simplify]: Simplified to: (exp (+ (pow x 2) (* 2 y))) (log (+ (pow x 2) (* 2 y))) (exp (+ (pow x 2) (* 2 y))) (* (cbrt (+ (pow x 2) (* 2 y))) (cbrt (+ (pow x 2) (* 2 y)))) (cbrt (+ (pow x 2) (* 2 y))) (pow (+ (pow x 2) (* 2 y)) 3) (sqrt (+ (pow x 2) (* 2 y))) (sqrt (+ (pow x 2) (* 2 y))) (+ (pow (* 2 y) 3) (pow x 6)) (+ (pow x 4) (* (* 2 y) (- (* 2 y) (pow x 2)))) (- (pow x 4) (* 4 (* y y))) (- (- (pow x 2) y) y) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) 6.169 * * * [progress]: adding candidates to table 6.203 * [progress]: [Phase 3 of 3] Extracting. 6.203 * * [regime]: Finding splitpoints for: (# #) 6.203 * * * [regime-changes]: Trying 4 branch expressions: ((* x x) (+ (+ (* x x) y) y) y x) 6.203 * * * * [regimes]: Trying to branch on (* x x) from (# #) 6.214 * * * * [regimes]: Trying to branch on (+ (+ (* x x) y) y) from (# #) 6.226 * * * * [regimes]: Trying to branch on y from (# #) 6.240 * * * * [regimes]: Trying to branch on x from (# #) 6.251 * * * [regime]: Found split indices: #