51.400 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.023 * * * [progress]: [2/2] Setting up program. 0.027 * [progress]: [Phase 2 of 3] Improving. 0.027 * [simplify]: Simplifying: (+ (+ (* x x) y) y) 0.028 * * [simplify]: iteration 0: 5 enodes 0.030 * * [simplify]: iteration 1: 9 enodes 0.034 * * [simplify]: iteration 2: 12 enodes 0.038 * * [simplify]: iteration 3: 13 enodes 0.043 * * [simplify]: iteration complete: 13 enodes 0.043 * * [simplify]: Extracting #0: cost 1 inf + 0 0.044 * * [simplify]: Extracting #1: cost 5 inf + 0 0.044 * * [simplify]: Extracting #2: cost 6 inf + 1 0.044 * * [simplify]: Extracting #3: cost 2 inf + 85 0.044 * * [simplify]: Extracting #4: cost 0 inf + 289 0.044 * [simplify]: Simplified to: (+ y (+ y (* x x))) 0.045 * * [progress]: iteration 1 / 4 0.045 * * * [progress]: picking best candidate 0.051 * * * * [pick]: Picked # 0.051 * * * [progress]: localizing error 0.069 * * * [progress]: generating rewritten candidates 0.069 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.085 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.165 * * * [progress]: generating series expansions 0.165 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.165 * [backup-simplify]: Simplify (+ (* x x) y) into (+ (pow x 2) y) 0.165 * [approximate]: Taking taylor expansion of (+ (pow x 2) y) in (x y) around 0 0.165 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in y 0.165 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.165 * [taylor]: Taking taylor expansion of x in y 0.166 * [backup-simplify]: Simplify x into x 0.166 * [taylor]: Taking taylor expansion of y in y 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 1 into 1 0.166 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.166 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.166 * [taylor]: Taking taylor expansion of x in x 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 1 into 1 0.166 * [taylor]: Taking taylor expansion of y in x 0.166 * [backup-simplify]: Simplify y into y 0.166 * [taylor]: Taking taylor expansion of (+ (pow x 2) y) in x 0.166 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.166 * [taylor]: Taking taylor expansion of x in x 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 1 into 1 0.166 * [taylor]: Taking taylor expansion of y in x 0.166 * [backup-simplify]: Simplify y into y 0.166 * [backup-simplify]: Simplify (+ 0 y) into y 0.166 * [taylor]: Taking taylor expansion of y in y 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 1 into 1 0.166 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify (+ 0 0) into 0 0.167 * [taylor]: Taking taylor expansion of 0 in y 0.167 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify 1 into 1 0.168 * [backup-simplify]: Simplify (* 1 1) into 1 0.168 * [backup-simplify]: Simplify (+ 1 0) into 1 0.168 * [taylor]: Taking taylor expansion of 1 in y 0.168 * [backup-simplify]: Simplify 1 into 1 0.168 * [backup-simplify]: Simplify 1 into 1 0.168 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify 0 into 0 0.169 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.169 * [backup-simplify]: Simplify (+ 0 0) into 0 0.169 * [taylor]: Taking taylor expansion of 0 in y 0.169 * [backup-simplify]: Simplify 0 into 0 0.169 * [backup-simplify]: Simplify 0 into 0 0.169 * [backup-simplify]: Simplify 0 into 0 0.169 * [backup-simplify]: Simplify 0 into 0 0.169 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 1 (* y 1))) into (+ (pow x 2) y) 0.170 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) into (+ (/ 1 (pow x 2)) (/ 1 y)) 0.170 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.170 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in y 0.170 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.170 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.170 * [taylor]: Taking taylor expansion of x in y 0.170 * [backup-simplify]: Simplify x into x 0.170 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.170 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.170 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.170 * [taylor]: Taking taylor expansion of y in y 0.170 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify 1 into 1 0.171 * [backup-simplify]: Simplify (/ 1 1) into 1 0.171 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.171 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.171 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.171 * [taylor]: Taking taylor expansion of x in x 0.171 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify 1 into 1 0.171 * [backup-simplify]: Simplify (* 1 1) into 1 0.172 * [backup-simplify]: Simplify (/ 1 1) into 1 0.172 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.172 * [taylor]: Taking taylor expansion of y in x 0.172 * [backup-simplify]: Simplify y into y 0.172 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.172 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 y)) in x 0.172 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.172 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.172 * [taylor]: Taking taylor expansion of x in x 0.172 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify 1 into 1 0.173 * [backup-simplify]: Simplify (* 1 1) into 1 0.173 * [backup-simplify]: Simplify (/ 1 1) into 1 0.173 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.173 * [taylor]: Taking taylor expansion of y in x 0.173 * [backup-simplify]: Simplify y into y 0.173 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.174 * [backup-simplify]: Simplify (+ 1 0) into 1 0.174 * [taylor]: Taking taylor expansion of 1 in y 0.174 * [backup-simplify]: Simplify 1 into 1 0.175 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.176 * [backup-simplify]: Simplify (+ 0 0) into 0 0.176 * [taylor]: Taking taylor expansion of 0 in y 0.176 * [backup-simplify]: Simplify 0 into 0 0.176 * [backup-simplify]: Simplify 1 into 1 0.177 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.179 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.179 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.179 * [taylor]: Taking taylor expansion of y in y 0.179 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify 1 into 1 0.179 * [backup-simplify]: Simplify (/ 1 1) into 1 0.179 * [backup-simplify]: Simplify 1 into 1 0.179 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.181 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.182 * [backup-simplify]: Simplify (+ 0 0) into 0 0.182 * [taylor]: Taking taylor expansion of 0 in y 0.182 * [backup-simplify]: Simplify 0 into 0 0.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.183 * [backup-simplify]: Simplify 0 into 0 0.183 * [backup-simplify]: Simplify 0 into 0 0.183 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.185 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.185 * [backup-simplify]: Simplify (+ 0 0) into 0 0.185 * [taylor]: Taking taylor expansion of 0 in y 0.186 * [backup-simplify]: Simplify 0 into 0 0.186 * [backup-simplify]: Simplify 0 into 0 0.186 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) y) 0.186 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))) into (- (/ 1 (pow x 2)) (/ 1 y)) 0.186 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in (x y) around 0 0.186 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in y 0.186 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.186 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.186 * [taylor]: Taking taylor expansion of x in y 0.186 * [backup-simplify]: Simplify x into x 0.187 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.187 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.187 * [taylor]: Taking taylor expansion of (/ 1 y) 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 0.187 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.187 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.187 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.187 * [taylor]: Taking taylor expansion of x in x 0.187 * [backup-simplify]: Simplify 0 into 0 0.187 * [backup-simplify]: Simplify 1 into 1 0.188 * [backup-simplify]: Simplify (* 1 1) into 1 0.189 * [backup-simplify]: Simplify (/ 1 1) into 1 0.189 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.189 * [taylor]: Taking taylor expansion of y in x 0.189 * [backup-simplify]: Simplify y into y 0.189 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.189 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 y)) in x 0.189 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.189 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.189 * [taylor]: Taking taylor expansion of x in x 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 0.190 * [backup-simplify]: Simplify (/ 1 1) into 1 0.190 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.190 * [taylor]: Taking taylor expansion of y in x 0.190 * [backup-simplify]: Simplify y into y 0.190 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.190 * [backup-simplify]: Simplify (+ 1 0) into 1 0.191 * [taylor]: Taking taylor expansion of 1 in y 0.191 * [backup-simplify]: Simplify 1 into 1 0.191 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.193 * [backup-simplify]: Simplify (+ 0 0) into 0 0.193 * [taylor]: Taking taylor expansion of 0 in y 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify 1 into 1 0.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.195 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.195 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.195 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.195 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.195 * [taylor]: Taking taylor expansion of y in y 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify 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 -1 into -1 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 1)))) into 0 0.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.198 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.199 * [backup-simplify]: Simplify (- 0) into 0 0.199 * [backup-simplify]: Simplify (+ 0 0) into 0 0.199 * [taylor]: Taking taylor expansion of 0 in y 0.199 * [backup-simplify]: Simplify 0 into 0 0.200 * [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 0 into 0 0.202 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.203 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.204 * [backup-simplify]: Simplify (- 0) into 0 0.205 * [backup-simplify]: Simplify (+ 0 0) into 0 0.205 * [taylor]: Taking taylor expansion of 0 in y 0.205 * [backup-simplify]: Simplify 0 into 0 0.205 * [backup-simplify]: Simplify 0 into 0 0.205 * [backup-simplify]: Simplify (+ (* -1 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) y) 0.205 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.206 * [backup-simplify]: Simplify (+ (+ (* x x) y) y) into (+ (pow x 2) (* 2 y)) 0.206 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in (x y) around 0 0.206 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) 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 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.206 * [taylor]: Taking taylor expansion of 2 in y 0.206 * [backup-simplify]: Simplify 2 into 2 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 0.206 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.206 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.206 * [taylor]: Taking taylor expansion of x in x 0.206 * [backup-simplify]: Simplify 0 into 0 0.206 * [backup-simplify]: Simplify 1 into 1 0.206 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.206 * [taylor]: Taking taylor expansion of 2 in x 0.206 * [backup-simplify]: Simplify 2 into 2 0.206 * [taylor]: Taking taylor expansion of y in x 0.206 * [backup-simplify]: Simplify y into y 0.206 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 0.206 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.206 * [taylor]: Taking taylor expansion of x in x 0.206 * [backup-simplify]: Simplify 0 into 0 0.206 * [backup-simplify]: Simplify 1 into 1 0.206 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.206 * [taylor]: Taking taylor expansion of 2 in x 0.206 * [backup-simplify]: Simplify 2 into 2 0.206 * [taylor]: Taking taylor expansion of y in x 0.206 * [backup-simplify]: Simplify y into y 0.207 * [backup-simplify]: Simplify (* 2 y) into (* 2 y) 0.207 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 0.207 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.207 * [taylor]: Taking taylor expansion of 2 in y 0.207 * [backup-simplify]: Simplify 2 into 2 0.207 * [taylor]: Taking taylor expansion of y in y 0.207 * [backup-simplify]: Simplify 0 into 0 0.207 * [backup-simplify]: Simplify 1 into 1 0.207 * [backup-simplify]: Simplify (* 2 0) into 0 0.207 * [backup-simplify]: Simplify 0 into 0 0.208 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 y)) into 0 0.208 * [backup-simplify]: Simplify (+ 0 0) into 0 0.208 * [taylor]: Taking taylor expansion of 0 in y 0.208 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 0.209 * [backup-simplify]: Simplify 2 into 2 0.210 * [backup-simplify]: Simplify (* 1 1) into 1 0.211 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 y))) into 0 0.211 * [backup-simplify]: Simplify (+ 1 0) into 1 0.211 * [taylor]: Taking taylor expansion of 1 in y 0.211 * [backup-simplify]: Simplify 1 into 1 0.211 * [backup-simplify]: Simplify 1 into 1 0.211 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 0.212 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.214 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.215 * [backup-simplify]: Simplify (+ 0 0) into 0 0.215 * [taylor]: Taking taylor expansion of 0 in y 0.215 * [backup-simplify]: Simplify 0 into 0 0.215 * [backup-simplify]: Simplify 0 into 0 0.215 * [backup-simplify]: Simplify 0 into 0 0.215 * [backup-simplify]: Simplify 0 into 0 0.216 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.216 * [backup-simplify]: Simplify 0 into 0 0.217 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 2 (* y 1))) into (+ (pow x 2) (* 2 y)) 0.217 * [backup-simplify]: Simplify (+ (+ (* (/ 1 x) (/ 1 x)) (/ 1 y)) (/ 1 y)) into (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) 0.217 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.217 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.217 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.217 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.217 * [taylor]: Taking taylor expansion of x in y 0.217 * [backup-simplify]: Simplify x into x 0.217 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.217 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.218 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.218 * [taylor]: Taking taylor expansion of 2 in y 0.218 * [backup-simplify]: Simplify 2 into 2 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 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.218 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.218 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.218 * [taylor]: Taking taylor expansion of x in x 0.218 * [backup-simplify]: Simplify 0 into 0 0.219 * [backup-simplify]: Simplify 1 into 1 0.219 * [backup-simplify]: Simplify (* 1 1) into 1 0.219 * [backup-simplify]: Simplify (/ 1 1) into 1 0.219 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.219 * [taylor]: Taking taylor expansion of 2 in x 0.219 * [backup-simplify]: Simplify 2 into 2 0.219 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.219 * [taylor]: Taking taylor expansion of y in x 0.219 * [backup-simplify]: Simplify y into y 0.220 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.220 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.220 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.220 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.220 * [taylor]: Taking taylor expansion of x in x 0.220 * [backup-simplify]: Simplify 0 into 0 0.220 * [backup-simplify]: Simplify 1 into 1 0.220 * [backup-simplify]: Simplify (* 1 1) into 1 0.220 * [backup-simplify]: Simplify (/ 1 1) into 1 0.221 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.221 * [taylor]: Taking taylor expansion of 2 in x 0.221 * [backup-simplify]: Simplify 2 into 2 0.221 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.221 * [taylor]: Taking taylor expansion of y in x 0.221 * [backup-simplify]: Simplify y into y 0.221 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.221 * [backup-simplify]: Simplify (+ 1 0) into 1 0.221 * [taylor]: Taking taylor expansion of 1 in y 0.221 * [backup-simplify]: Simplify 1 into 1 0.222 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) 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 1 into 1 0.224 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.225 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 0.225 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 0.225 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.225 * [taylor]: Taking taylor expansion of 2 in y 0.225 * [backup-simplify]: Simplify 2 into 2 0.225 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.225 * [taylor]: Taking taylor expansion of y in y 0.225 * [backup-simplify]: Simplify 0 into 0 0.225 * [backup-simplify]: Simplify 1 into 1 0.226 * [backup-simplify]: Simplify (/ 1 1) into 1 0.226 * [backup-simplify]: Simplify (* 2 1) into 2 0.226 * [backup-simplify]: Simplify 2 into 2 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify 0 into 0 0.228 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.229 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.229 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 0.230 * [backup-simplify]: Simplify (+ 0 0) into 0 0.230 * [taylor]: Taking taylor expansion of 0 in y 0.230 * [backup-simplify]: Simplify 0 into 0 0.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.231 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.231 * [backup-simplify]: Simplify 0 into 0 0.231 * [backup-simplify]: Simplify 0 into 0 0.231 * [backup-simplify]: Simplify 0 into 0 0.232 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.234 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.234 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.235 * [backup-simplify]: Simplify (+ 0 0) into 0 0.235 * [taylor]: Taking taylor expansion of 0 in y 0.235 * [backup-simplify]: Simplify 0 into 0 0.235 * [backup-simplify]: Simplify 0 into 0 0.235 * [backup-simplify]: Simplify (+ (* 2 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) (* 2 y)) 0.236 * [backup-simplify]: Simplify (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (/ 1 (- y))) (/ 1 (- y))) into (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) 0.236 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 0.236 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 0.236 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.236 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.236 * [taylor]: Taking taylor expansion of x in y 0.236 * [backup-simplify]: Simplify x into x 0.236 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.236 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.236 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.236 * [taylor]: Taking taylor expansion of 2 in y 0.236 * [backup-simplify]: Simplify 2 into 2 0.236 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.236 * [taylor]: Taking taylor expansion of y in y 0.236 * [backup-simplify]: Simplify 0 into 0 0.236 * [backup-simplify]: Simplify 1 into 1 0.237 * [backup-simplify]: Simplify (/ 1 1) into 1 0.237 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.237 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.237 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.237 * [taylor]: Taking taylor expansion of x in x 0.237 * [backup-simplify]: Simplify 0 into 0 0.237 * [backup-simplify]: Simplify 1 into 1 0.237 * [backup-simplify]: Simplify (* 1 1) into 1 0.238 * [backup-simplify]: Simplify (/ 1 1) into 1 0.238 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.238 * [taylor]: Taking taylor expansion of 2 in x 0.238 * [backup-simplify]: Simplify 2 into 2 0.238 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.238 * [taylor]: Taking taylor expansion of y in x 0.238 * [backup-simplify]: Simplify y into y 0.238 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.238 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 0.238 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.238 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.238 * [taylor]: Taking taylor expansion of x in x 0.238 * [backup-simplify]: Simplify 0 into 0 0.238 * [backup-simplify]: Simplify 1 into 1 0.239 * [backup-simplify]: Simplify (* 1 1) into 1 0.239 * [backup-simplify]: Simplify (/ 1 1) into 1 0.239 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.239 * [taylor]: Taking taylor expansion of 2 in x 0.239 * [backup-simplify]: Simplify 2 into 2 0.239 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.239 * [taylor]: Taking taylor expansion of y in x 0.239 * [backup-simplify]: Simplify y into y 0.239 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.240 * [backup-simplify]: Simplify (+ 1 0) into 1 0.240 * [taylor]: Taking taylor expansion of 1 in y 0.240 * [backup-simplify]: Simplify 1 into 1 0.241 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.242 * [backup-simplify]: Simplify (+ 0 0) into 0 0.242 * [taylor]: Taking taylor expansion of 0 in y 0.242 * [backup-simplify]: Simplify 0 into 0 0.242 * [backup-simplify]: Simplify 1 into 1 0.243 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.244 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 0.244 * [backup-simplify]: Simplify (- (/ 2 y)) into (- (* 2 (/ 1 y))) 0.244 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 y)))) into (- (* 2 (/ 1 y))) 0.244 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 0.244 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.244 * [taylor]: Taking taylor expansion of 2 in y 0.244 * [backup-simplify]: Simplify 2 into 2 0.244 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.244 * [taylor]: Taking taylor expansion of y in y 0.244 * [backup-simplify]: Simplify 0 into 0 0.244 * [backup-simplify]: Simplify 1 into 1 0.245 * [backup-simplify]: Simplify (/ 1 1) into 1 0.245 * [backup-simplify]: Simplify (* 2 1) into 2 0.246 * [backup-simplify]: Simplify (- 2) into -2 0.246 * [backup-simplify]: Simplify -2 into -2 0.246 * [backup-simplify]: Simplify 0 into 0 0.246 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.248 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.249 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 0.249 * [backup-simplify]: Simplify (- 0) into 0 0.249 * [backup-simplify]: Simplify (+ 0 0) into 0 0.249 * [taylor]: Taking taylor expansion of 0 in y 0.249 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.251 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 0.251 * [backup-simplify]: Simplify (- 0) into 0 0.251 * [backup-simplify]: Simplify 0 into 0 0.251 * [backup-simplify]: Simplify 0 into 0 0.251 * [backup-simplify]: Simplify 0 into 0 0.253 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.254 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.255 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.255 * [backup-simplify]: Simplify (- 0) into 0 0.255 * [backup-simplify]: Simplify (+ 0 0) into 0 0.255 * [taylor]: Taking taylor expansion of 0 in y 0.255 * [backup-simplify]: Simplify 0 into 0 0.255 * [backup-simplify]: Simplify 0 into 0 0.256 * [backup-simplify]: Simplify (+ (* -2 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) (* 2 y)) 0.256 * * * [progress]: simplifying candidates 0.257 * [simplify]: Simplifying: (* (exp (* x x)) (exp y)) (log (+ (* x x) y)) (exp (+ (* x x) y)) (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y)) (* (* (+ (* x x) y) (+ (* x x) y)) (+ (* x x) y)) (sqrt (+ (* x x) y)) (sqrt (+ (* x x) y)) (+ (pow (* x x) 3) (pow y 3)) (+ (* (* x x) (* x x)) (- (* y y) (* (* x x) y))) (- (* (* x x) (* x x)) (* y y)) (- (* x x) y) (* (* (exp (* x x)) (exp y)) (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) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) y) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) 0.258 * * [simplify]: iteration 0: 48 enodes 0.284 * * [simplify]: iteration 1: 154 enodes 0.398 * * [simplify]: iteration 2: 480 enodes 1.517 * * [simplify]: iteration 3: 2097 enodes 5.921 * * [simplify]: iteration complete: 5005 enodes 5.921 * * [simplify]: Extracting #0: cost 23 inf + 0 5.922 * * [simplify]: Extracting #1: cost 253 inf + 0 5.929 * * [simplify]: Extracting #2: cost 1095 inf + 4349 5.963 * * [simplify]: Extracting #3: cost 1085 inf + 90037 6.065 * * [simplify]: Extracting #4: cost 125 inf + 271171 6.215 * * [simplify]: Extracting #5: cost 43 inf + 292576 6.468 * * [simplify]: Extracting #6: cost 11 inf + 298769 6.694 * * [simplify]: Extracting #7: cost 0 inf + 301410 7.100 * [simplify]: Simplified to: (exp (+ y (* x x))) (log (+ (* x x) y)) (exp (+ y (* x x))) (* (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)) (+ (* (* x x) (* (* x x) (* x x))) (* y (* y y))) (- (* y y) (* (* x x) (- y (* x x)))) (- (* (* x x) (* x x)) (* y y)) (- (* x x) y) (exp (+ y (+ (* x x) y))) (exp (+ y (+ (* x x) y))) (log (+ y (+ (* x x) y))) (exp (+ y (+ (* x x) y))) (* (cbrt (+ y (+ (* x x) y))) (cbrt (+ y (+ (* x x) y)))) (cbrt (+ y (+ (* x x) y))) (* (+ y (+ (* x x) y)) (* (+ y (+ (* x x) y)) (+ y (+ (* x x) y)))) (sqrt (+ y (+ (* x x) y))) (sqrt (+ y (+ (* x x) y))) (+ (* y (* y y)) (* (* (+ (* x x) y) (+ (* x x) y)) (+ (* x x) y))) (+ (* (+ (* x x) y) (* x x)) (* y y)) (* (* x x) (+ y (+ (* x x) y))) (* x x) (+ y (+ (* x x) y)) (+ y y) (+ (* x x) y) (+ (* x x) y) (+ (* x x) y) (+ y (+ (* x x) y)) (+ y (+ (* x x) y)) (+ y (+ (* x x) y)) 7.102 * * * [progress]: adding candidates to table 7.283 * * [progress]: iteration 2 / 4 7.283 * * * [progress]: picking best candidate 7.289 * * * * [pick]: Picked # 7.289 * * * [progress]: localizing error 7.305 * * * [progress]: generating rewritten candidates 7.305 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 7.348 * * * [progress]: generating series expansions 7.348 * * * * [progress]: [ 1 / 1 ] generating series at (2) 7.348 * [backup-simplify]: Simplify (+ (* x x) (+ y y)) into (+ (pow x 2) (* 2 y)) 7.348 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in (x y) around 0 7.348 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in y 7.348 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.348 * [taylor]: Taking taylor expansion of x in y 7.348 * [backup-simplify]: Simplify x into x 7.348 * [taylor]: Taking taylor expansion of (* 2 y) in y 7.348 * [taylor]: Taking taylor expansion of 2 in y 7.349 * [backup-simplify]: Simplify 2 into 2 7.349 * [taylor]: Taking taylor expansion of y in y 7.349 * [backup-simplify]: Simplify 0 into 0 7.349 * [backup-simplify]: Simplify 1 into 1 7.349 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 7.349 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.349 * [taylor]: Taking taylor expansion of x in x 7.349 * [backup-simplify]: Simplify 0 into 0 7.349 * [backup-simplify]: Simplify 1 into 1 7.349 * [taylor]: Taking taylor expansion of (* 2 y) in x 7.349 * [taylor]: Taking taylor expansion of 2 in x 7.349 * [backup-simplify]: Simplify 2 into 2 7.349 * [taylor]: Taking taylor expansion of y in x 7.349 * [backup-simplify]: Simplify y into y 7.349 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2 y)) in x 7.349 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.349 * [taylor]: Taking taylor expansion of x in x 7.349 * [backup-simplify]: Simplify 0 into 0 7.349 * [backup-simplify]: Simplify 1 into 1 7.349 * [taylor]: Taking taylor expansion of (* 2 y) in x 7.349 * [taylor]: Taking taylor expansion of 2 in x 7.349 * [backup-simplify]: Simplify 2 into 2 7.349 * [taylor]: Taking taylor expansion of y in x 7.349 * [backup-simplify]: Simplify y into y 7.349 * [backup-simplify]: Simplify (* 2 y) into (* 2 y) 7.349 * [backup-simplify]: Simplify (+ 0 (* 2 y)) into (* 2 y) 7.349 * [taylor]: Taking taylor expansion of (* 2 y) in y 7.349 * [taylor]: Taking taylor expansion of 2 in y 7.350 * [backup-simplify]: Simplify 2 into 2 7.350 * [taylor]: Taking taylor expansion of y in y 7.350 * [backup-simplify]: Simplify 0 into 0 7.350 * [backup-simplify]: Simplify 1 into 1 7.350 * [backup-simplify]: Simplify (* 2 0) into 0 7.350 * [backup-simplify]: Simplify 0 into 0 7.351 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 y)) into 0 7.351 * [backup-simplify]: Simplify (+ 0 0) into 0 7.351 * [taylor]: Taking taylor expansion of 0 in y 7.351 * [backup-simplify]: Simplify 0 into 0 7.351 * [backup-simplify]: Simplify 0 into 0 7.352 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 7.352 * [backup-simplify]: Simplify 2 into 2 7.352 * [backup-simplify]: Simplify (* 1 1) into 1 7.353 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 y))) into 0 7.354 * [backup-simplify]: Simplify (+ 1 0) into 1 7.354 * [taylor]: Taking taylor expansion of 1 in y 7.354 * [backup-simplify]: Simplify 1 into 1 7.354 * [backup-simplify]: Simplify 1 into 1 7.354 * [backup-simplify]: Simplify 0 into 0 7.355 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 7.355 * [backup-simplify]: Simplify 0 into 0 7.356 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.357 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 7.357 * [backup-simplify]: Simplify (+ 0 0) into 0 7.357 * [taylor]: Taking taylor expansion of 0 in y 7.357 * [backup-simplify]: Simplify 0 into 0 7.357 * [backup-simplify]: Simplify 0 into 0 7.357 * [backup-simplify]: Simplify 0 into 0 7.357 * [backup-simplify]: Simplify 0 into 0 7.359 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 7.359 * [backup-simplify]: Simplify 0 into 0 7.359 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 x) 2)) (* 2 (* y 1))) into (+ (pow x 2) (* 2 y)) 7.359 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (+ (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) 7.359 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 7.359 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 7.359 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 7.359 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.359 * [taylor]: Taking taylor expansion of x in y 7.359 * [backup-simplify]: Simplify x into x 7.360 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.360 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 7.360 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 7.360 * [taylor]: Taking taylor expansion of 2 in y 7.360 * [backup-simplify]: Simplify 2 into 2 7.360 * [taylor]: Taking taylor expansion of (/ 1 y) in y 7.360 * [taylor]: Taking taylor expansion of y in y 7.360 * [backup-simplify]: Simplify 0 into 0 7.360 * [backup-simplify]: Simplify 1 into 1 7.360 * [backup-simplify]: Simplify (/ 1 1) into 1 7.360 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 7.360 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.360 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.360 * [taylor]: Taking taylor expansion of x in x 7.360 * [backup-simplify]: Simplify 0 into 0 7.361 * [backup-simplify]: Simplify 1 into 1 7.361 * [backup-simplify]: Simplify (* 1 1) into 1 7.361 * [backup-simplify]: Simplify (/ 1 1) into 1 7.361 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 7.361 * [taylor]: Taking taylor expansion of 2 in x 7.361 * [backup-simplify]: Simplify 2 into 2 7.361 * [taylor]: Taking taylor expansion of (/ 1 y) in x 7.361 * [taylor]: Taking taylor expansion of y in x 7.361 * [backup-simplify]: Simplify y into y 7.362 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.362 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 7.362 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.362 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.362 * [taylor]: Taking taylor expansion of x in x 7.362 * [backup-simplify]: Simplify 0 into 0 7.362 * [backup-simplify]: Simplify 1 into 1 7.362 * [backup-simplify]: Simplify (* 1 1) into 1 7.363 * [backup-simplify]: Simplify (/ 1 1) into 1 7.363 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 7.363 * [taylor]: Taking taylor expansion of 2 in x 7.363 * [backup-simplify]: Simplify 2 into 2 7.363 * [taylor]: Taking taylor expansion of (/ 1 y) in x 7.363 * [taylor]: Taking taylor expansion of y in x 7.363 * [backup-simplify]: Simplify y into y 7.363 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.363 * [backup-simplify]: Simplify (+ 1 0) into 1 7.363 * [taylor]: Taking taylor expansion of 1 in y 7.363 * [backup-simplify]: Simplify 1 into 1 7.364 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.365 * [backup-simplify]: Simplify (+ 0 0) into 0 7.365 * [taylor]: Taking taylor expansion of 0 in y 7.365 * [backup-simplify]: Simplify 0 into 0 7.365 * [backup-simplify]: Simplify 1 into 1 7.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.367 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 7.367 * [backup-simplify]: Simplify (+ 0 (/ 2 y)) into (* 2 (/ 1 y)) 7.368 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 7.368 * [taylor]: Taking taylor expansion of 2 in y 7.368 * [backup-simplify]: Simplify 2 into 2 7.368 * [taylor]: Taking taylor expansion of (/ 1 y) in y 7.368 * [taylor]: Taking taylor expansion of y in y 7.368 * [backup-simplify]: Simplify 0 into 0 7.368 * [backup-simplify]: Simplify 1 into 1 7.368 * [backup-simplify]: Simplify (/ 1 1) into 1 7.369 * [backup-simplify]: Simplify (* 2 1) into 2 7.369 * [backup-simplify]: Simplify 2 into 2 7.369 * [backup-simplify]: Simplify 0 into 0 7.369 * [backup-simplify]: Simplify 0 into 0 7.370 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.371 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 7.371 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 7.372 * [backup-simplify]: Simplify (+ 0 0) into 0 7.372 * [taylor]: Taking taylor expansion of 0 in y 7.372 * [backup-simplify]: Simplify 0 into 0 7.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.373 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.373 * [backup-simplify]: Simplify 0 into 0 7.374 * [backup-simplify]: Simplify 0 into 0 7.374 * [backup-simplify]: Simplify 0 into 0 7.375 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.376 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 7.377 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 7.377 * [backup-simplify]: Simplify (+ 0 0) into 0 7.377 * [taylor]: Taking taylor expansion of 0 in y 7.377 * [backup-simplify]: Simplify 0 into 0 7.377 * [backup-simplify]: Simplify 0 into 0 7.378 * [backup-simplify]: Simplify (+ (* 2 (* (/ 1 (/ 1 y)) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2))) into (+ (pow x 2) (* 2 y)) 7.378 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (+ (/ 1 (- y)) (/ 1 (- y)))) into (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) 7.378 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in (x y) around 0 7.378 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in y 7.378 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 7.378 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.378 * [taylor]: Taking taylor expansion of x in y 7.378 * [backup-simplify]: Simplify x into x 7.378 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.379 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 7.379 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 7.379 * [taylor]: Taking taylor expansion of 2 in y 7.379 * [backup-simplify]: Simplify 2 into 2 7.379 * [taylor]: Taking taylor expansion of (/ 1 y) in y 7.379 * [taylor]: Taking taylor expansion of y in y 7.379 * [backup-simplify]: Simplify 0 into 0 7.379 * [backup-simplify]: Simplify 1 into 1 7.379 * [backup-simplify]: Simplify (/ 1 1) into 1 7.379 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 7.379 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.379 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.379 * [taylor]: Taking taylor expansion of x in x 7.379 * [backup-simplify]: Simplify 0 into 0 7.379 * [backup-simplify]: Simplify 1 into 1 7.380 * [backup-simplify]: Simplify (* 1 1) into 1 7.380 * [backup-simplify]: Simplify (/ 1 1) into 1 7.380 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 7.380 * [taylor]: Taking taylor expansion of 2 in x 7.380 * [backup-simplify]: Simplify 2 into 2 7.380 * [taylor]: Taking taylor expansion of (/ 1 y) in x 7.380 * [taylor]: Taking taylor expansion of y in x 7.380 * [backup-simplify]: Simplify y into y 7.380 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.380 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 2 (/ 1 y))) in x 7.381 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.381 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.381 * [taylor]: Taking taylor expansion of x in x 7.381 * [backup-simplify]: Simplify 0 into 0 7.381 * [backup-simplify]: Simplify 1 into 1 7.381 * [backup-simplify]: Simplify (* 1 1) into 1 7.381 * [backup-simplify]: Simplify (/ 1 1) into 1 7.381 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 7.381 * [taylor]: Taking taylor expansion of 2 in x 7.381 * [backup-simplify]: Simplify 2 into 2 7.382 * [taylor]: Taking taylor expansion of (/ 1 y) in x 7.382 * [taylor]: Taking taylor expansion of y in x 7.382 * [backup-simplify]: Simplify y into y 7.382 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 7.382 * [backup-simplify]: Simplify (+ 1 0) into 1 7.382 * [taylor]: Taking taylor expansion of 1 in y 7.382 * [backup-simplify]: Simplify 1 into 1 7.383 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.384 * [backup-simplify]: Simplify (+ 0 0) into 0 7.384 * [taylor]: Taking taylor expansion of 0 in y 7.384 * [backup-simplify]: Simplify 0 into 0 7.384 * [backup-simplify]: Simplify 1 into 1 7.385 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.386 * [backup-simplify]: Simplify (* 2 (/ 1 y)) into (/ 2 y) 7.386 * [backup-simplify]: Simplify (- (/ 2 y)) into (- (* 2 (/ 1 y))) 7.386 * [backup-simplify]: Simplify (+ 0 (- (* 2 (/ 1 y)))) into (- (* 2 (/ 1 y))) 7.386 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 7.386 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 7.386 * [taylor]: Taking taylor expansion of 2 in y 7.386 * [backup-simplify]: Simplify 2 into 2 7.386 * [taylor]: Taking taylor expansion of (/ 1 y) in y 7.386 * [taylor]: Taking taylor expansion of y in y 7.386 * [backup-simplify]: Simplify 0 into 0 7.386 * [backup-simplify]: Simplify 1 into 1 7.387 * [backup-simplify]: Simplify (/ 1 1) into 1 7.387 * [backup-simplify]: Simplify (* 2 1) into 2 7.387 * [backup-simplify]: Simplify (- 2) into -2 7.387 * [backup-simplify]: Simplify -2 into -2 7.387 * [backup-simplify]: Simplify 0 into 0 7.387 * [backup-simplify]: Simplify 0 into 0 7.389 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.390 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 7.390 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 y))) into 0 7.391 * [backup-simplify]: Simplify (- 0) into 0 7.391 * [backup-simplify]: Simplify (+ 0 0) into 0 7.391 * [taylor]: Taking taylor expansion of 0 in y 7.391 * [backup-simplify]: Simplify 0 into 0 7.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.392 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0 7.393 * [backup-simplify]: Simplify (- 0) into 0 7.393 * [backup-simplify]: Simplify 0 into 0 7.393 * [backup-simplify]: Simplify 0 into 0 7.393 * [backup-simplify]: Simplify 0 into 0 7.394 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.395 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 7.396 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 7.396 * [backup-simplify]: Simplify (- 0) into 0 7.396 * [backup-simplify]: Simplify (+ 0 0) into 0 7.397 * [taylor]: Taking taylor expansion of 0 in y 7.397 * [backup-simplify]: Simplify 0 into 0 7.397 * [backup-simplify]: Simplify 0 into 0 7.397 * [backup-simplify]: Simplify (+ (* -2 (* (/ 1 (/ 1 (- y))) 1)) (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2))) into (+ (pow x 2) (* 2 y)) 7.397 * * * [progress]: simplifying candidates 7.398 * [simplify]: Simplifying: (* (exp (* x x)) (* (exp y) (exp 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)) (+ (* x x) y) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) (+ (pow x 2) (* 2 y)) 7.398 * * [simplify]: iteration 0: 34 enodes 7.424 * * [simplify]: iteration 1: 109 enodes 7.501 * * [simplify]: iteration 2: 457 enodes 8.119 * * [simplify]: iteration 3: 2029 enodes 11.182 * * [simplify]: iteration complete: 5000 enodes 11.182 * * [simplify]: Extracting #0: cost 12 inf + 0 11.183 * * [simplify]: Extracting #1: cost 108 inf + 0 11.187 * * [simplify]: Extracting #2: cost 874 inf + 43 11.279 * * [simplify]: Extracting #3: cost 1355 inf + 19755 11.333 * * [simplify]: Extracting #4: cost 676 inf + 145373 11.438 * * [simplify]: Extracting #5: cost 78 inf + 265366 11.636 * * [simplify]: Extracting #6: cost 11 inf + 276156 11.783 * * [simplify]: Extracting #7: cost 0 inf + 279339 12.056 * [simplify]: Simplified to: (exp (+ (+ y y) (* x x))) (exp (+ (+ y y) (* x x))) (log (+ (+ y y) (* x x))) (exp (+ (+ y y) (* x x))) (* (cbrt (+ (+ y y) (* x x))) (cbrt (+ (+ y y) (* x x)))) (cbrt (+ (+ y y) (* x x))) (* (+ (+ 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))) (+ (* (* x x) (* x x)) (* (+ y y) (- (+ y y) (* x x)))) (- (* (* x x) (* x x)) (* (+ y y) (+ y y))) (- (- (* x x) y) y) (+ (* x x) y) (+ (+ y y) (* x x)) (+ (+ y y) (* x x)) (+ (+ y y) (* x x)) 12.088 * * * [progress]: adding candidates to table 12.520 * [progress]: [Phase 3 of 3] Extracting. 12.526 * [simplify]: Simplifying: (+ (* x x) (+ y y)) 12.526 * * [simplify]: iteration 0: 5 enodes 12.527 * * [simplify]: iteration 1: 6 enodes 12.528 * * [simplify]: iteration complete: 6 enodes 12.528 * * [simplify]: Extracting #0: cost 1 inf + 0 12.528 * * [simplify]: Extracting #1: cost 3 inf + 0 12.528 * * [simplify]: Extracting #2: cost 5 inf + 0 12.528 * * [simplify]: Extracting #3: cost 2 inf + 43 12.528 * * [simplify]: Extracting #4: cost 0 inf + 206 12.528 * [simplify]: Simplified to: (+ (+ y y) (* x x)) 17.029 * [regime-testing]: Baseline error score: 0.006625828228528566 17.062 * [regime-testing]: Oracle error score: 0.006625828228528566 17.063 * [regime-testing]: End program error score: 0.006625828228528566 17.354 * [regime-testing]: Target error score: 0.006625828228528566