290.807 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.038 * * * [progress]: [2/2] Setting up program. 0.040 * [progress]: [Phase 2 of 3] Improving. 0.040 * [simplify]: Simplifying: (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) 0.080 * * [progress]: iteration 1 / 4 0.080 * * * [progress]: picking best candidate 0.083 * * * * [pick]: Picked # 0.083 * * * [progress]: localizing error 0.092 * * * [progress]: generating rewritten candidates 0.092 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.140 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.164 * * * [progress]: generating series expansions 0.164 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.164 * [backup-simplify]: Simplify (* y (+ (* x 2.0) y)) into (* (+ (* 2.0 x) y) y) 0.164 * [approximate]: Taking taylor expansion of (* (+ (* 2.0 x) y) y) in (y x) around 0 0.164 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 x) y) y) in x 0.164 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) y) in x 0.164 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.164 * [taylor]: Taking taylor expansion of 2.0 in x 0.164 * [backup-simplify]: Simplify 2.0 into 2.0 0.164 * [taylor]: Taking taylor expansion of x in x 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify 1 into 1 0.164 * [taylor]: Taking taylor expansion of y in x 0.164 * [backup-simplify]: Simplify y into y 0.164 * [taylor]: Taking taylor expansion of y in x 0.164 * [backup-simplify]: Simplify y into y 0.164 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 x) y) y) in y 0.164 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) y) in y 0.164 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 0.164 * [taylor]: Taking taylor expansion of 2.0 in y 0.164 * [backup-simplify]: Simplify 2.0 into 2.0 0.164 * [taylor]: Taking taylor expansion of x in y 0.164 * [backup-simplify]: Simplify x into x 0.164 * [taylor]: Taking taylor expansion of y in y 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify 1 into 1 0.164 * [taylor]: Taking taylor expansion of y in y 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify 1 into 1 0.164 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 x) y) y) in y 0.164 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) y) in y 0.165 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 0.165 * [taylor]: Taking taylor expansion of 2.0 in y 0.165 * [backup-simplify]: Simplify 2.0 into 2.0 0.165 * [taylor]: Taking taylor expansion of x in y 0.165 * [backup-simplify]: Simplify x into x 0.165 * [taylor]: Taking taylor expansion of y in y 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify 1 into 1 0.165 * [taylor]: Taking taylor expansion of y in y 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify 1 into 1 0.165 * [backup-simplify]: Simplify (* 2.0 x) into (* 2.0 x) 0.165 * [backup-simplify]: Simplify (+ (* 2.0 x) 0) into (* 2.0 x) 0.165 * [backup-simplify]: Simplify (* (* 2.0 x) 0) into 0 0.165 * [taylor]: Taking taylor expansion of 0 in x 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 x)) into 0 0.166 * [backup-simplify]: Simplify (+ 0 1) into 1 0.167 * [backup-simplify]: Simplify (+ (* (* 2.0 x) 1) (* 1 0)) into (* 2.0 x) 0.167 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.167 * [taylor]: Taking taylor expansion of 2.0 in x 0.167 * [backup-simplify]: Simplify 2.0 into 2.0 0.167 * [taylor]: Taking taylor expansion of x in x 0.167 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify 1 into 1 0.167 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.167 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 x))) into 0 0.168 * [backup-simplify]: Simplify (+ 0 0) into 0 0.169 * [backup-simplify]: Simplify (+ (* (* 2.0 x) 0) (+ (* 1 1) (* 0 0))) into 1 0.169 * [taylor]: Taking taylor expansion of 1 in x 0.169 * [backup-simplify]: Simplify 1 into 1 0.169 * [backup-simplify]: Simplify 1 into 1 0.170 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 0.170 * [backup-simplify]: Simplify 2.0 into 2.0 0.170 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 0.171 * [backup-simplify]: Simplify (+ 0 0) into 0 0.172 * [backup-simplify]: Simplify (+ (* (* 2.0 x) 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.172 * [taylor]: Taking taylor expansion of 0 in x 0.172 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0 0.173 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify 0 into 0 0.174 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 0.174 * [backup-simplify]: Simplify (+ 0 0) into 0 0.175 * [backup-simplify]: Simplify (+ (* (* 2.0 x) 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.175 * [taylor]: Taking taylor expansion of 0 in x 0.175 * [backup-simplify]: Simplify 0 into 0 0.175 * [backup-simplify]: Simplify 0 into 0 0.175 * [backup-simplify]: Simplify (+ (* 2.0 (* x y)) (* 1 (pow (* 1 y) 2))) into (+ (pow y 2) (* 2.0 (* x y))) 0.176 * [backup-simplify]: Simplify (* (/ 1 y) (+ (* (/ 1 x) 2.0) (/ 1 y))) into (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) 0.176 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in (y x) around 0 0.176 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in x 0.176 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2.0 (/ 1 x))) in x 0.176 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.176 * [taylor]: Taking taylor expansion of y in x 0.176 * [backup-simplify]: Simplify y into y 0.176 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.176 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.176 * [taylor]: Taking taylor expansion of 2.0 in x 0.176 * [backup-simplify]: Simplify 2.0 into 2.0 0.176 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.176 * [taylor]: Taking taylor expansion of x in x 0.176 * [backup-simplify]: Simplify 0 into 0 0.176 * [backup-simplify]: Simplify 1 into 1 0.176 * [backup-simplify]: Simplify (/ 1 1) into 1 0.176 * [taylor]: Taking taylor expansion of y in x 0.176 * [backup-simplify]: Simplify y into y 0.177 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.177 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0 0.177 * [backup-simplify]: Simplify (/ 2.0 y) into (/ 2.0 y) 0.177 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in y 0.177 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2.0 (/ 1 x))) in y 0.177 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.177 * [taylor]: Taking taylor expansion of y in y 0.177 * [backup-simplify]: Simplify 0 into 0 0.177 * [backup-simplify]: Simplify 1 into 1 0.177 * [backup-simplify]: Simplify (/ 1 1) into 1 0.177 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.178 * [taylor]: Taking taylor expansion of 2.0 in y 0.178 * [backup-simplify]: Simplify 2.0 into 2.0 0.178 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.178 * [taylor]: Taking taylor expansion of x in y 0.178 * [backup-simplify]: Simplify x into x 0.178 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.178 * [taylor]: Taking taylor expansion of y in y 0.178 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify 1 into 1 0.178 * [backup-simplify]: Simplify (+ 1 0) into 1 0.178 * [backup-simplify]: Simplify (/ 1 1) into 1 0.178 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in y 0.178 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2.0 (/ 1 x))) in y 0.178 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.178 * [taylor]: Taking taylor expansion of y in y 0.178 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify 1 into 1 0.179 * [backup-simplify]: Simplify (/ 1 1) into 1 0.179 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.179 * [taylor]: Taking taylor expansion of 2.0 in y 0.179 * [backup-simplify]: Simplify 2.0 into 2.0 0.179 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.179 * [taylor]: Taking taylor expansion of x in y 0.179 * [backup-simplify]: Simplify x into x 0.179 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 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 0) into 1 0.180 * [backup-simplify]: Simplify (/ 1 1) into 1 0.180 * [taylor]: Taking taylor expansion of 1 in x 0.180 * [backup-simplify]: Simplify 1 into 1 0.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.180 * [backup-simplify]: Simplify (* 2.0 (/ 1 x)) into (/ 2.0 x) 0.181 * [backup-simplify]: Simplify (+ 0 (/ 2.0 x)) into (* 2.0 (/ 1 x)) 0.181 * [backup-simplify]: Simplify (- (/ (* 2.0 (/ 1 x)) 1) (+ (* 1 (/ 0 1)))) into (* 2.0 (/ 1 x)) 0.181 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.181 * [taylor]: Taking taylor expansion of 2.0 in x 0.181 * [backup-simplify]: Simplify 2.0 into 2.0 0.181 * [taylor]: Taking taylor expansion of (/ 1 x) 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 0.182 * [backup-simplify]: Simplify (/ 1 1) into 1 0.182 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.182 * [backup-simplify]: Simplify 2.0 into 2.0 0.182 * [backup-simplify]: Simplify 1 into 1 0.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.183 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.183 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 x))) into 0 0.184 * [backup-simplify]: Simplify (+ 0 0) into 0 0.185 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2.0 (/ 1 x)) (/ 0 1)))) into 0 0.185 * [taylor]: Taking taylor expansion of 0 in x 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.186 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 0.186 * [backup-simplify]: Simplify 0 into 0 0.186 * [backup-simplify]: Simplify 0 into 0 0.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.187 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.188 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 0.188 * [backup-simplify]: Simplify (+ 0 0) into 0 0.190 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2.0 (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.190 * [taylor]: Taking taylor expansion of 0 in x 0.190 * [backup-simplify]: Simplify 0 into 0 0.190 * [backup-simplify]: Simplify 0 into 0 0.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.191 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 0.191 * [backup-simplify]: Simplify 0 into 0 0.191 * [backup-simplify]: Simplify 0 into 0 0.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.192 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.193 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 0.194 * [backup-simplify]: Simplify (+ 0 0) into 0 0.196 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2.0 (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.196 * [taylor]: Taking taylor expansion of 0 in x 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 2)) (* 2.0 (* (/ 1 (/ 1 x)) (/ 1 (/ 1 y))))) into (+ (pow y 2) (* 2.0 (* x y))) 0.196 * [backup-simplify]: Simplify (* (/ 1 (- y)) (+ (* (/ 1 (- x)) 2.0) (/ 1 (- y)))) into (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) 0.196 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in (y x) around 0 0.196 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in x 0.196 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2.0 (/ 1 x))) in x 0.197 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.197 * [taylor]: Taking taylor expansion of y in x 0.197 * [backup-simplify]: Simplify y into y 0.197 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.197 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.197 * [taylor]: Taking taylor expansion of 2.0 in x 0.197 * [backup-simplify]: Simplify 2.0 into 2.0 0.197 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.197 * [taylor]: Taking taylor expansion of x in x 0.197 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify 1 into 1 0.197 * [backup-simplify]: Simplify (/ 1 1) into 1 0.197 * [taylor]: Taking taylor expansion of y in x 0.197 * [backup-simplify]: Simplify y into y 0.198 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.198 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0 0.198 * [backup-simplify]: Simplify (/ 2.0 y) into (/ 2.0 y) 0.198 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in y 0.198 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2.0 (/ 1 x))) in y 0.198 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.198 * [taylor]: Taking taylor expansion of y in y 0.198 * [backup-simplify]: Simplify 0 into 0 0.198 * [backup-simplify]: Simplify 1 into 1 0.198 * [backup-simplify]: Simplify (/ 1 1) into 1 0.198 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.198 * [taylor]: Taking taylor expansion of 2.0 in y 0.198 * [backup-simplify]: Simplify 2.0 into 2.0 0.198 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.199 * [taylor]: Taking taylor expansion of x in y 0.199 * [backup-simplify]: Simplify x into x 0.199 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.199 * [taylor]: Taking taylor expansion of y in y 0.199 * [backup-simplify]: Simplify 0 into 0 0.199 * [backup-simplify]: Simplify 1 into 1 0.199 * [backup-simplify]: Simplify (+ 1 0) into 1 0.199 * [backup-simplify]: Simplify (/ 1 1) into 1 0.199 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in y 0.199 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2.0 (/ 1 x))) in y 0.199 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.199 * [taylor]: Taking taylor expansion of y in y 0.199 * [backup-simplify]: Simplify 0 into 0 0.199 * [backup-simplify]: Simplify 1 into 1 0.200 * [backup-simplify]: Simplify (/ 1 1) into 1 0.200 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.200 * [taylor]: Taking taylor expansion of 2.0 in y 0.200 * [backup-simplify]: Simplify 2.0 into 2.0 0.200 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.200 * [taylor]: Taking taylor expansion of x in y 0.200 * [backup-simplify]: Simplify x into x 0.200 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.200 * [taylor]: Taking taylor expansion of y in y 0.200 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify 1 into 1 0.200 * [backup-simplify]: Simplify (+ 1 0) into 1 0.201 * [backup-simplify]: Simplify (/ 1 1) into 1 0.201 * [taylor]: Taking taylor expansion of 1 in x 0.201 * [backup-simplify]: Simplify 1 into 1 0.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.201 * [backup-simplify]: Simplify (* 2.0 (/ 1 x)) into (/ 2.0 x) 0.202 * [backup-simplify]: Simplify (+ 0 (/ 2.0 x)) into (* 2.0 (/ 1 x)) 0.202 * [backup-simplify]: Simplify (- (/ (* 2.0 (/ 1 x)) 1) (+ (* 1 (/ 0 1)))) into (* 2.0 (/ 1 x)) 0.202 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.202 * [taylor]: Taking taylor expansion of 2.0 in x 0.202 * [backup-simplify]: Simplify 2.0 into 2.0 0.202 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.202 * [taylor]: Taking taylor expansion of x in x 0.202 * [backup-simplify]: Simplify 0 into 0 0.202 * [backup-simplify]: Simplify 1 into 1 0.203 * [backup-simplify]: Simplify (/ 1 1) into 1 0.203 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.203 * [backup-simplify]: Simplify 2.0 into 2.0 0.203 * [backup-simplify]: Simplify 1 into 1 0.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.204 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.204 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 x))) into 0 0.205 * [backup-simplify]: Simplify (+ 0 0) into 0 0.206 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2.0 (/ 1 x)) (/ 0 1)))) into 0 0.206 * [taylor]: Taking taylor expansion of 0 in x 0.206 * [backup-simplify]: Simplify 0 into 0 0.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.207 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 0.207 * [backup-simplify]: Simplify 0 into 0 0.207 * [backup-simplify]: Simplify 0 into 0 0.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.208 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.209 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 0.209 * [backup-simplify]: Simplify (+ 0 0) into 0 0.211 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2.0 (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.211 * [taylor]: Taking taylor expansion of 0 in x 0.211 * [backup-simplify]: Simplify 0 into 0 0.211 * [backup-simplify]: Simplify 0 into 0 0.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.212 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 0.212 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.213 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.214 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 0.214 * [backup-simplify]: Simplify (+ 0 0) into 0 0.216 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2.0 (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.216 * [taylor]: Taking taylor expansion of 0 in x 0.216 * [backup-simplify]: Simplify 0 into 0 0.217 * [backup-simplify]: Simplify 0 into 0 0.217 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (* 2.0 (* (/ 1 (/ 1 (- x))) (/ 1 (/ 1 (- y)))))) into (+ (pow y 2) (* 2.0 (* x y))) 0.217 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.217 * [backup-simplify]: Simplify (+ (* y (+ (* x 2.0) y)) (* x x)) into (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) 0.217 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in (y x) around 0 0.217 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.217 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.217 * [taylor]: Taking taylor expansion of x in x 0.217 * [backup-simplify]: Simplify 0 into 0 0.217 * [backup-simplify]: Simplify 1 into 1 0.217 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.217 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.217 * [taylor]: Taking taylor expansion of y in x 0.217 * [backup-simplify]: Simplify y into y 0.217 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.217 * [taylor]: Taking taylor expansion of 2.0 in x 0.217 * [backup-simplify]: Simplify 2.0 into 2.0 0.217 * [taylor]: Taking taylor expansion of (* x y) in x 0.217 * [taylor]: Taking taylor expansion of x in x 0.218 * [backup-simplify]: Simplify 0 into 0 0.218 * [backup-simplify]: Simplify 1 into 1 0.218 * [taylor]: Taking taylor expansion of y in x 0.218 * [backup-simplify]: Simplify y into y 0.218 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in y 0.218 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.218 * [taylor]: Taking taylor expansion of x in y 0.218 * [backup-simplify]: Simplify x into x 0.218 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in y 0.218 * [taylor]: Taking taylor expansion of (pow y 2) 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 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.218 * [taylor]: Taking taylor expansion of 2.0 in y 0.218 * [backup-simplify]: Simplify 2.0 into 2.0 0.218 * [taylor]: Taking taylor expansion of (* x y) in y 0.218 * [taylor]: Taking taylor expansion of x in y 0.218 * [backup-simplify]: Simplify x into x 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 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in y 0.218 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.218 * [taylor]: Taking taylor expansion of x in y 0.218 * [backup-simplify]: Simplify x into x 0.218 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in y 0.218 * [taylor]: Taking taylor expansion of (pow y 2) 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 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.218 * [taylor]: Taking taylor expansion of 2.0 in y 0.218 * [backup-simplify]: Simplify 2.0 into 2.0 0.218 * [taylor]: Taking taylor expansion of (* x y) in y 0.218 * [taylor]: Taking taylor expansion of x in y 0.218 * [backup-simplify]: Simplify x into x 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 (* x x) into (pow x 2) 0.218 * [backup-simplify]: Simplify (* x 0) into 0 0.218 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.219 * [backup-simplify]: Simplify (+ 0 0) into 0 0.219 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.219 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.219 * [taylor]: Taking taylor expansion of x in x 0.219 * [backup-simplify]: Simplify 0 into 0 0.219 * [backup-simplify]: Simplify 1 into 1 0.219 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.219 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.220 * [backup-simplify]: Simplify (+ (* 2.0 x) (* 0 0)) into (* 2.0 x) 0.220 * [backup-simplify]: Simplify (+ 0 (* 2.0 x)) into (* 2.0 x) 0.220 * [backup-simplify]: Simplify (+ 0 (* 2.0 x)) into (* 2.0 x) 0.220 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.220 * [taylor]: Taking taylor expansion of 2.0 in x 0.220 * [backup-simplify]: Simplify 2.0 into 2.0 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 (* 2.0 0) into 0 0.220 * [backup-simplify]: Simplify 0 into 0 0.220 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 0.221 * [backup-simplify]: Simplify (* 1 1) into 1 0.224 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 0.225 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 x) (* 0 0))) into 0 0.225 * [backup-simplify]: Simplify (+ 1 0) into 1 0.226 * [backup-simplify]: Simplify (+ 0 1) into 1 0.226 * [taylor]: Taking taylor expansion of 1 in x 0.226 * [backup-simplify]: Simplify 1 into 1 0.226 * [backup-simplify]: Simplify 1 into 1 0.227 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 0.227 * [backup-simplify]: Simplify 2.0 into 2.0 0.227 * [backup-simplify]: Simplify (* 1 1) into 1 0.227 * [backup-simplify]: Simplify 1 into 1 0.228 * [backup-simplify]: Simplify (+ (* 1 (pow (* x 1) 2)) (+ (* 2.0 (* x y)) (* 1 (pow (* 1 y) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) 0.228 * [backup-simplify]: Simplify (+ (* (/ 1 y) (+ (* (/ 1 x) 2.0) (/ 1 y))) (* (/ 1 x) (/ 1 x))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) 0.228 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (y x) around 0 0.228 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.228 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.228 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.228 * [taylor]: Taking taylor expansion of x in x 0.228 * [backup-simplify]: Simplify 0 into 0 0.228 * [backup-simplify]: Simplify 1 into 1 0.229 * [backup-simplify]: Simplify (* 1 1) into 1 0.229 * [backup-simplify]: Simplify (/ 1 1) into 1 0.229 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.229 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.229 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.229 * [taylor]: Taking taylor expansion of y in x 0.229 * [backup-simplify]: Simplify y into y 0.229 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.229 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.229 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.229 * [taylor]: Taking taylor expansion of 2.0 in x 0.229 * [backup-simplify]: Simplify 2.0 into 2.0 0.229 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.229 * [taylor]: Taking taylor expansion of (* x y) in x 0.230 * [taylor]: Taking taylor expansion of x in x 0.230 * [backup-simplify]: Simplify 0 into 0 0.230 * [backup-simplify]: Simplify 1 into 1 0.230 * [taylor]: Taking taylor expansion of y in x 0.230 * [backup-simplify]: Simplify y into y 0.230 * [backup-simplify]: Simplify (* 0 y) into 0 0.230 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.230 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.230 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.230 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.230 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.230 * [taylor]: Taking taylor expansion of x in y 0.230 * [backup-simplify]: Simplify x into x 0.230 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.230 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.230 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.230 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.230 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.230 * [taylor]: Taking taylor expansion of y in y 0.230 * [backup-simplify]: Simplify 0 into 0 0.230 * [backup-simplify]: Simplify 1 into 1 0.231 * [backup-simplify]: Simplify (* 1 1) into 1 0.231 * [backup-simplify]: Simplify (/ 1 1) into 1 0.231 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.231 * [taylor]: Taking taylor expansion of 2.0 in y 0.231 * [backup-simplify]: Simplify 2.0 into 2.0 0.231 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.231 * [taylor]: Taking taylor expansion of (* x y) in y 0.231 * [taylor]: Taking taylor expansion of x in y 0.231 * [backup-simplify]: Simplify x into x 0.231 * [taylor]: Taking taylor expansion of y in y 0.231 * [backup-simplify]: Simplify 0 into 0 0.231 * [backup-simplify]: Simplify 1 into 1 0.231 * [backup-simplify]: Simplify (* x 0) into 0 0.232 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.232 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.232 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.232 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.232 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.232 * [taylor]: Taking taylor expansion of x in y 0.232 * [backup-simplify]: Simplify x into x 0.232 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.232 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.232 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.232 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.232 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.232 * [taylor]: Taking taylor expansion of y in y 0.232 * [backup-simplify]: Simplify 0 into 0 0.232 * [backup-simplify]: Simplify 1 into 1 0.233 * [backup-simplify]: Simplify (* 1 1) into 1 0.233 * [backup-simplify]: Simplify (/ 1 1) into 1 0.233 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.233 * [taylor]: Taking taylor expansion of 2.0 in y 0.233 * [backup-simplify]: Simplify 2.0 into 2.0 0.233 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.233 * [taylor]: Taking taylor expansion of (* x y) in y 0.233 * [taylor]: Taking taylor expansion of x in y 0.233 * [backup-simplify]: Simplify x into x 0.233 * [taylor]: Taking taylor expansion of y in y 0.233 * [backup-simplify]: Simplify 0 into 0 0.233 * [backup-simplify]: Simplify 1 into 1 0.233 * [backup-simplify]: Simplify (* x 0) into 0 0.233 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.234 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.234 * [backup-simplify]: Simplify (+ 1 0) into 1 0.234 * [backup-simplify]: Simplify (+ 0 1) into 1 0.234 * [taylor]: Taking taylor expansion of 1 in x 0.234 * [backup-simplify]: Simplify 1 into 1 0.235 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.236 * [backup-simplify]: Simplify (* 2.0 (/ 1 x)) into (/ 2.0 x) 0.236 * [backup-simplify]: Simplify (+ 0 (/ 2.0 x)) into (* 2.0 (/ 1 x)) 0.236 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 x))) into (* 2.0 (/ 1 x)) 0.236 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.236 * [taylor]: Taking taylor expansion of 2.0 in x 0.236 * [backup-simplify]: Simplify 2.0 into 2.0 0.236 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.236 * [taylor]: Taking taylor expansion of x in x 0.236 * [backup-simplify]: Simplify 0 into 0 0.236 * [backup-simplify]: Simplify 1 into 1 0.236 * [backup-simplify]: Simplify (/ 1 1) into 1 0.237 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.238 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 0.238 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.239 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 x))) into 0 0.239 * [backup-simplify]: Simplify (+ 0 0) into 0 0.239 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 0.239 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.239 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.239 * [taylor]: Taking taylor expansion of x in x 0.239 * [backup-simplify]: Simplify 0 into 0 0.239 * [backup-simplify]: Simplify 1 into 1 0.240 * [backup-simplify]: Simplify (* 1 1) into 1 0.240 * [backup-simplify]: Simplify (/ 1 1) into 1 0.240 * [backup-simplify]: Simplify 1 into 1 0.241 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.241 * [backup-simplify]: Simplify 2.0 into 2.0 0.241 * [backup-simplify]: Simplify 1 into 1 0.241 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 2)) (+ (* 2.0 (* (/ 1 (/ 1 x)) (/ 1 (/ 1 y)))) (* 1 (pow (* (/ 1 (/ 1 x)) 1) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) 0.242 * [backup-simplify]: Simplify (+ (* (/ 1 (- y)) (+ (* (/ 1 (- x)) 2.0) (/ 1 (- y)))) (* (/ 1 (- x)) (/ 1 (- x)))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) 0.242 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (y x) around 0 0.242 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.242 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.242 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.242 * [taylor]: Taking taylor expansion of x in x 0.242 * [backup-simplify]: Simplify 0 into 0 0.242 * [backup-simplify]: Simplify 1 into 1 0.242 * [backup-simplify]: Simplify (* 1 1) into 1 0.242 * [backup-simplify]: Simplify (/ 1 1) into 1 0.242 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.242 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.242 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.242 * [taylor]: Taking taylor expansion of y in x 0.242 * [backup-simplify]: Simplify y into y 0.243 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.243 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.243 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.243 * [taylor]: Taking taylor expansion of 2.0 in x 0.243 * [backup-simplify]: Simplify 2.0 into 2.0 0.243 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.243 * [taylor]: Taking taylor expansion of (* x y) in x 0.243 * [taylor]: Taking taylor expansion of x in x 0.243 * [backup-simplify]: Simplify 0 into 0 0.243 * [backup-simplify]: Simplify 1 into 1 0.243 * [taylor]: Taking taylor expansion of y in x 0.243 * [backup-simplify]: Simplify y into y 0.243 * [backup-simplify]: Simplify (* 0 y) into 0 0.243 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.243 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.243 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.243 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.243 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.243 * [taylor]: Taking taylor expansion of x in y 0.243 * [backup-simplify]: Simplify x into x 0.244 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.244 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.244 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.244 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.244 * [taylor]: Taking taylor expansion of (pow y 2) 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 0.244 * [backup-simplify]: Simplify (* 1 1) into 1 0.244 * [backup-simplify]: Simplify (/ 1 1) into 1 0.244 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.244 * [taylor]: Taking taylor expansion of 2.0 in y 0.245 * [backup-simplify]: Simplify 2.0 into 2.0 0.245 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.245 * [taylor]: Taking taylor expansion of (* x y) in y 0.245 * [taylor]: Taking taylor expansion of x in y 0.245 * [backup-simplify]: Simplify x into x 0.245 * [taylor]: Taking taylor expansion of y in y 0.245 * [backup-simplify]: Simplify 0 into 0 0.245 * [backup-simplify]: Simplify 1 into 1 0.245 * [backup-simplify]: Simplify (* x 0) into 0 0.245 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.245 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.245 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.245 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.245 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.245 * [taylor]: Taking taylor expansion of x in y 0.245 * [backup-simplify]: Simplify x into x 0.245 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.245 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.245 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.245 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.245 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.246 * [taylor]: Taking taylor expansion of y in y 0.246 * [backup-simplify]: Simplify 0 into 0 0.246 * [backup-simplify]: Simplify 1 into 1 0.246 * [backup-simplify]: Simplify (* 1 1) into 1 0.246 * [backup-simplify]: Simplify (/ 1 1) into 1 0.246 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.246 * [taylor]: Taking taylor expansion of 2.0 in y 0.246 * [backup-simplify]: Simplify 2.0 into 2.0 0.246 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.246 * [taylor]: Taking taylor expansion of (* x y) in y 0.246 * [taylor]: Taking taylor expansion of x in y 0.246 * [backup-simplify]: Simplify x into x 0.246 * [taylor]: Taking taylor expansion of y in y 0.246 * [backup-simplify]: Simplify 0 into 0 0.246 * [backup-simplify]: Simplify 1 into 1 0.247 * [backup-simplify]: Simplify (* x 0) into 0 0.247 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.247 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.247 * [backup-simplify]: Simplify (+ 1 0) into 1 0.248 * [backup-simplify]: Simplify (+ 0 1) into 1 0.248 * [taylor]: Taking taylor expansion of 1 in x 0.248 * [backup-simplify]: Simplify 1 into 1 0.248 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.249 * [backup-simplify]: Simplify (* 2.0 (/ 1 x)) into (/ 2.0 x) 0.249 * [backup-simplify]: Simplify (+ 0 (/ 2.0 x)) into (* 2.0 (/ 1 x)) 0.249 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 x))) into (* 2.0 (/ 1 x)) 0.249 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.249 * [taylor]: Taking taylor expansion of 2.0 in x 0.249 * [backup-simplify]: Simplify 2.0 into 2.0 0.249 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.249 * [taylor]: Taking taylor expansion of x in x 0.249 * [backup-simplify]: Simplify 0 into 0 0.249 * [backup-simplify]: Simplify 1 into 1 0.250 * [backup-simplify]: Simplify (/ 1 1) into 1 0.251 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.252 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 0.252 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.252 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 x))) into 0 0.253 * [backup-simplify]: Simplify (+ 0 0) into 0 0.253 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 0.253 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.253 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.253 * [taylor]: Taking taylor expansion of x in x 0.253 * [backup-simplify]: Simplify 0 into 0 0.253 * [backup-simplify]: Simplify 1 into 1 0.253 * [backup-simplify]: Simplify (* 1 1) into 1 0.254 * [backup-simplify]: Simplify (/ 1 1) into 1 0.254 * [backup-simplify]: Simplify 1 into 1 0.254 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.254 * [backup-simplify]: Simplify 2.0 into 2.0 0.254 * [backup-simplify]: Simplify 1 into 1 0.255 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (+ (* 2.0 (* (/ 1 (/ 1 (- x))) (/ 1 (/ 1 (- y))))) (* 1 (pow (* (/ 1 (/ 1 (- x))) 1) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) 0.255 * * * [progress]: simplifying candidates 0.256 * [simplify]: Simplifying: (* y (+ (* x 2.0) y)) (+ (log y) (log (+ (* x 2.0) y))) (log (* y (+ (* x 2.0) y))) (exp (* y (+ (* x 2.0) y))) (* (* (* y y) y) (* (* (+ (* x 2.0) y) (+ (* x 2.0) y)) (+ (* x 2.0) y))) (* (cbrt (* y (+ (* x 2.0) y))) (cbrt (* y (+ (* x 2.0) y)))) (cbrt (* y (+ (* x 2.0) y))) (* (* (* y (+ (* x 2.0) y)) (* y (+ (* x 2.0) y))) (* y (+ (* x 2.0) y))) (sqrt (* y (+ (* x 2.0) y))) (sqrt (* y (+ (* x 2.0) y))) (* (sqrt y) (sqrt (+ (* x 2.0) y))) (* (sqrt y) (sqrt (+ (* x 2.0) y))) (* y (* x 2.0)) (* y y) (* (* x 2.0) y) (* y y) (* y (* (cbrt (+ (* x 2.0) y)) (cbrt (+ (* x 2.0) y)))) (* y (sqrt (+ (* x 2.0) y))) (* y 1) (* (cbrt y) (+ (* x 2.0) y)) (* (sqrt y) (+ (* x 2.0) y)) (* y (+ (* x 2.0) y)) (* y (+ (pow (* x 2.0) 3) (pow y 3))) (* y (- (* (* x 2.0) (* x 2.0)) (* y y))) (* (exp (* y (+ (* x 2.0) y))) (exp (* x x))) (log (+ (* y (+ (* x 2.0) y)) (* x x))) (exp (+ (* y (+ (* x 2.0) y)) (* x x))) (* (cbrt (+ (* y (+ (* x 2.0) y)) (* x x))) (cbrt (+ (* y (+ (* x 2.0) y)) (* x x)))) (cbrt (+ (* y (+ (* x 2.0) y)) (* x x))) (* (* (+ (* y (+ (* x 2.0) y)) (* x x)) (+ (* y (+ (* x 2.0) y)) (* x x))) (+ (* y (+ (* x 2.0) y)) (* x x))) (sqrt (+ (* y (+ (* x 2.0) y)) (* x x))) (sqrt (+ (* y (+ (* x 2.0) y)) (* x x))) (+ (pow (* y (+ (* x 2.0) y)) 3) (pow (* x x) 3)) (+ (* (* y (+ (* x 2.0) y)) (* y (+ (* x 2.0) y))) (- (* (* x x) (* x x)) (* (* y (+ (* x 2.0) y)) (* x x)))) (- (* (* y (+ (* x 2.0) y)) (* y (+ (* x 2.0) y))) (* (* x x) (* x x))) (- (* y (+ (* x 2.0) y)) (* x x)) (+ (* y y) (* x x)) (+ (* y y) (* x x)) (+ (pow y 2) (* 2.0 (* x y))) (+ (pow y 2) (* 2.0 (* x y))) (+ (pow y 2) (* 2.0 (* x y))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) 0.818 * * * [progress]: adding candidates to table 0.903 * * [progress]: iteration 2 / 4 0.903 * * * [progress]: picking best candidate 0.905 * * * * [pick]: Picked # 0.905 * * * [progress]: localizing error 0.916 * * * [progress]: generating rewritten candidates 0.916 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 1.040 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 1.060 * * * [progress]: generating series expansions 1.060 * * * * [progress]: [ 1 / 2 ] generating series at (2) 1.061 * [backup-simplify]: Simplify (+ (+ (* y (* x 2.0)) (pow y 2)) (* x x)) into (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) 1.061 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in (y x) around 0 1.061 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 1.061 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.061 * [taylor]: Taking taylor expansion of x in x 1.061 * [backup-simplify]: Simplify 0 into 0 1.061 * [backup-simplify]: Simplify 1 into 1 1.061 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 1.061 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.061 * [taylor]: Taking taylor expansion of y in x 1.061 * [backup-simplify]: Simplify y into y 1.061 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 1.061 * [taylor]: Taking taylor expansion of 2.0 in x 1.061 * [backup-simplify]: Simplify 2.0 into 2.0 1.061 * [taylor]: Taking taylor expansion of (* x y) in x 1.061 * [taylor]: Taking taylor expansion of x in x 1.061 * [backup-simplify]: Simplify 0 into 0 1.061 * [backup-simplify]: Simplify 1 into 1 1.061 * [taylor]: Taking taylor expansion of y in x 1.061 * [backup-simplify]: Simplify y into y 1.061 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in y 1.061 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.061 * [taylor]: Taking taylor expansion of x in y 1.061 * [backup-simplify]: Simplify x into x 1.061 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in y 1.061 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.061 * [taylor]: Taking taylor expansion of y in y 1.061 * [backup-simplify]: Simplify 0 into 0 1.061 * [backup-simplify]: Simplify 1 into 1 1.061 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 1.061 * [taylor]: Taking taylor expansion of 2.0 in y 1.061 * [backup-simplify]: Simplify 2.0 into 2.0 1.061 * [taylor]: Taking taylor expansion of (* x y) in y 1.061 * [taylor]: Taking taylor expansion of x in y 1.061 * [backup-simplify]: Simplify x into x 1.061 * [taylor]: Taking taylor expansion of y in y 1.061 * [backup-simplify]: Simplify 0 into 0 1.061 * [backup-simplify]: Simplify 1 into 1 1.061 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in y 1.061 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.061 * [taylor]: Taking taylor expansion of x in y 1.061 * [backup-simplify]: Simplify x into x 1.061 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in y 1.061 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.061 * [taylor]: Taking taylor expansion of y in y 1.061 * [backup-simplify]: Simplify 0 into 0 1.061 * [backup-simplify]: Simplify 1 into 1 1.061 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 1.061 * [taylor]: Taking taylor expansion of 2.0 in y 1.061 * [backup-simplify]: Simplify 2.0 into 2.0 1.061 * [taylor]: Taking taylor expansion of (* x y) in y 1.061 * [taylor]: Taking taylor expansion of x in y 1.061 * [backup-simplify]: Simplify x into x 1.061 * [taylor]: Taking taylor expansion of y in y 1.061 * [backup-simplify]: Simplify 0 into 0 1.062 * [backup-simplify]: Simplify 1 into 1 1.062 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.062 * [backup-simplify]: Simplify (* x 0) into 0 1.062 * [backup-simplify]: Simplify (* 2.0 0) into 0 1.062 * [backup-simplify]: Simplify (+ 0 0) into 0 1.063 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 1.063 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.063 * [taylor]: Taking taylor expansion of x in x 1.063 * [backup-simplify]: Simplify 0 into 0 1.063 * [backup-simplify]: Simplify 1 into 1 1.063 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.063 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 1.063 * [backup-simplify]: Simplify (+ (* 2.0 x) (* 0 0)) into (* 2.0 x) 1.063 * [backup-simplify]: Simplify (+ 0 (* 2.0 x)) into (* 2.0 x) 1.063 * [backup-simplify]: Simplify (+ 0 (* 2.0 x)) into (* 2.0 x) 1.063 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 1.063 * [taylor]: Taking taylor expansion of 2.0 in x 1.064 * [backup-simplify]: Simplify 2.0 into 2.0 1.064 * [taylor]: Taking taylor expansion of x in x 1.064 * [backup-simplify]: Simplify 0 into 0 1.064 * [backup-simplify]: Simplify 1 into 1 1.064 * [backup-simplify]: Simplify (* 2.0 0) into 0 1.064 * [backup-simplify]: Simplify 0 into 0 1.064 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 1.065 * [backup-simplify]: Simplify (* 1 1) into 1 1.065 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 1.066 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 x) (* 0 0))) into 0 1.066 * [backup-simplify]: Simplify (+ 1 0) into 1 1.067 * [backup-simplify]: Simplify (+ 0 1) into 1 1.067 * [taylor]: Taking taylor expansion of 1 in x 1.067 * [backup-simplify]: Simplify 1 into 1 1.067 * [backup-simplify]: Simplify 1 into 1 1.068 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 1.068 * [backup-simplify]: Simplify 2.0 into 2.0 1.068 * [backup-simplify]: Simplify (* 1 1) into 1 1.068 * [backup-simplify]: Simplify 1 into 1 1.068 * [backup-simplify]: Simplify (+ (* 1 (pow (* x 1) 2)) (+ (* 2.0 (* x y)) (* 1 (pow (* 1 y) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) 1.069 * [backup-simplify]: Simplify (+ (+ (* (/ 1 y) (* (/ 1 x) 2.0)) (pow (/ 1 y) 2)) (* (/ 1 x) (/ 1 x))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) 1.069 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (y x) around 0 1.069 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 1.069 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.069 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.069 * [taylor]: Taking taylor expansion of x in x 1.069 * [backup-simplify]: Simplify 0 into 0 1.069 * [backup-simplify]: Simplify 1 into 1 1.069 * [backup-simplify]: Simplify (* 1 1) into 1 1.070 * [backup-simplify]: Simplify (/ 1 1) into 1 1.070 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 1.070 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.070 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.070 * [taylor]: Taking taylor expansion of y in x 1.070 * [backup-simplify]: Simplify y into y 1.070 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.070 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.070 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 1.070 * [taylor]: Taking taylor expansion of 2.0 in x 1.070 * [backup-simplify]: Simplify 2.0 into 2.0 1.070 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.070 * [taylor]: Taking taylor expansion of (* x y) in x 1.070 * [taylor]: Taking taylor expansion of x in x 1.070 * [backup-simplify]: Simplify 0 into 0 1.070 * [backup-simplify]: Simplify 1 into 1 1.070 * [taylor]: Taking taylor expansion of y in x 1.070 * [backup-simplify]: Simplify y into y 1.070 * [backup-simplify]: Simplify (* 0 y) into 0 1.070 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.070 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.070 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 1.070 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.070 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.070 * [taylor]: Taking taylor expansion of x in y 1.070 * [backup-simplify]: Simplify x into x 1.070 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.071 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.071 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 1.071 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.071 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.071 * [taylor]: Taking taylor expansion of y in y 1.071 * [backup-simplify]: Simplify 0 into 0 1.071 * [backup-simplify]: Simplify 1 into 1 1.071 * [backup-simplify]: Simplify (* 1 1) into 1 1.071 * [backup-simplify]: Simplify (/ 1 1) into 1 1.071 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 1.071 * [taylor]: Taking taylor expansion of 2.0 in y 1.071 * [backup-simplify]: Simplify 2.0 into 2.0 1.071 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.071 * [taylor]: Taking taylor expansion of (* x y) in y 1.071 * [taylor]: Taking taylor expansion of x in y 1.071 * [backup-simplify]: Simplify x into x 1.071 * [taylor]: Taking taylor expansion of y in y 1.071 * [backup-simplify]: Simplify 0 into 0 1.071 * [backup-simplify]: Simplify 1 into 1 1.071 * [backup-simplify]: Simplify (* x 0) into 0 1.072 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 1.072 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.072 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 1.072 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.072 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.072 * [taylor]: Taking taylor expansion of x in y 1.072 * [backup-simplify]: Simplify x into x 1.072 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.072 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.072 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 1.072 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.072 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.072 * [taylor]: Taking taylor expansion of y in y 1.072 * [backup-simplify]: Simplify 0 into 0 1.072 * [backup-simplify]: Simplify 1 into 1 1.072 * [backup-simplify]: Simplify (* 1 1) into 1 1.073 * [backup-simplify]: Simplify (/ 1 1) into 1 1.073 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 1.073 * [taylor]: Taking taylor expansion of 2.0 in y 1.073 * [backup-simplify]: Simplify 2.0 into 2.0 1.073 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.073 * [taylor]: Taking taylor expansion of (* x y) in y 1.073 * [taylor]: Taking taylor expansion of x in y 1.073 * [backup-simplify]: Simplify x into x 1.073 * [taylor]: Taking taylor expansion of y in y 1.073 * [backup-simplify]: Simplify 0 into 0 1.073 * [backup-simplify]: Simplify 1 into 1 1.073 * [backup-simplify]: Simplify (* x 0) into 0 1.073 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 1.073 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.073 * [backup-simplify]: Simplify (+ 1 0) into 1 1.074 * [backup-simplify]: Simplify (+ 0 1) into 1 1.074 * [taylor]: Taking taylor expansion of 1 in x 1.074 * [backup-simplify]: Simplify 1 into 1 1.074 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.075 * [backup-simplify]: Simplify (* 2.0 (/ 1 x)) into (/ 2.0 x) 1.075 * [backup-simplify]: Simplify (+ 0 (/ 2.0 x)) into (* 2.0 (/ 1 x)) 1.075 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 x))) into (* 2.0 (/ 1 x)) 1.075 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 1.075 * [taylor]: Taking taylor expansion of 2.0 in x 1.075 * [backup-simplify]: Simplify 2.0 into 2.0 1.075 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.075 * [taylor]: Taking taylor expansion of x in x 1.075 * [backup-simplify]: Simplify 0 into 0 1.076 * [backup-simplify]: Simplify 1 into 1 1.076 * [backup-simplify]: Simplify (/ 1 1) into 1 1.077 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.078 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 1.078 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 1.079 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 x))) into 0 1.079 * [backup-simplify]: Simplify (+ 0 0) into 0 1.079 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 1.079 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.079 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.079 * [taylor]: Taking taylor expansion of x in x 1.079 * [backup-simplify]: Simplify 0 into 0 1.079 * [backup-simplify]: Simplify 1 into 1 1.080 * [backup-simplify]: Simplify (* 1 1) into 1 1.080 * [backup-simplify]: Simplify (/ 1 1) into 1 1.080 * [backup-simplify]: Simplify 1 into 1 1.080 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 1.080 * [backup-simplify]: Simplify 2.0 into 2.0 1.080 * [backup-simplify]: Simplify 1 into 1 1.081 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 2)) (+ (* 2.0 (* (/ 1 (/ 1 x)) (/ 1 (/ 1 y)))) (* 1 (pow (* (/ 1 (/ 1 x)) 1) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) 1.082 * [backup-simplify]: Simplify (+ (+ (* (/ 1 (- y)) (* (/ 1 (- x)) 2.0)) (pow (/ 1 (- y)) 2)) (* (/ 1 (- x)) (/ 1 (- x)))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) 1.082 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (y x) around 0 1.082 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 1.082 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.082 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.082 * [taylor]: Taking taylor expansion of x in x 1.082 * [backup-simplify]: Simplify 0 into 0 1.082 * [backup-simplify]: Simplify 1 into 1 1.082 * [backup-simplify]: Simplify (* 1 1) into 1 1.082 * [backup-simplify]: Simplify (/ 1 1) into 1 1.082 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 1.082 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.082 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.082 * [taylor]: Taking taylor expansion of y in x 1.082 * [backup-simplify]: Simplify y into y 1.082 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.082 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.082 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 1.082 * [taylor]: Taking taylor expansion of 2.0 in x 1.082 * [backup-simplify]: Simplify 2.0 into 2.0 1.082 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.083 * [taylor]: Taking taylor expansion of (* x y) in x 1.083 * [taylor]: Taking taylor expansion of x in x 1.083 * [backup-simplify]: Simplify 0 into 0 1.083 * [backup-simplify]: Simplify 1 into 1 1.083 * [taylor]: Taking taylor expansion of y in x 1.083 * [backup-simplify]: Simplify y into y 1.083 * [backup-simplify]: Simplify (* 0 y) into 0 1.083 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.083 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.083 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 1.083 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.083 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.083 * [taylor]: Taking taylor expansion of x in y 1.083 * [backup-simplify]: Simplify x into x 1.083 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.083 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.083 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 1.083 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.083 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.083 * [taylor]: Taking taylor expansion of y in y 1.083 * [backup-simplify]: Simplify 0 into 0 1.083 * [backup-simplify]: Simplify 1 into 1 1.084 * [backup-simplify]: Simplify (* 1 1) into 1 1.084 * [backup-simplify]: Simplify (/ 1 1) into 1 1.084 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 1.084 * [taylor]: Taking taylor expansion of 2.0 in y 1.084 * [backup-simplify]: Simplify 2.0 into 2.0 1.084 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.084 * [taylor]: Taking taylor expansion of (* x y) in y 1.084 * [taylor]: Taking taylor expansion of x in y 1.084 * [backup-simplify]: Simplify x into x 1.084 * [taylor]: Taking taylor expansion of y in y 1.084 * [backup-simplify]: Simplify 0 into 0 1.084 * [backup-simplify]: Simplify 1 into 1 1.084 * [backup-simplify]: Simplify (* x 0) into 0 1.084 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 1.084 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.085 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 1.085 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.085 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.085 * [taylor]: Taking taylor expansion of x in y 1.085 * [backup-simplify]: Simplify x into x 1.085 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.085 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.085 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 1.085 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.085 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.085 * [taylor]: Taking taylor expansion of y in y 1.085 * [backup-simplify]: Simplify 0 into 0 1.085 * [backup-simplify]: Simplify 1 into 1 1.085 * [backup-simplify]: Simplify (* 1 1) into 1 1.085 * [backup-simplify]: Simplify (/ 1 1) into 1 1.085 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 1.085 * [taylor]: Taking taylor expansion of 2.0 in y 1.085 * [backup-simplify]: Simplify 2.0 into 2.0 1.085 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.085 * [taylor]: Taking taylor expansion of (* x y) in y 1.085 * [taylor]: Taking taylor expansion of x in y 1.085 * [backup-simplify]: Simplify x into x 1.085 * [taylor]: Taking taylor expansion of y in y 1.085 * [backup-simplify]: Simplify 0 into 0 1.086 * [backup-simplify]: Simplify 1 into 1 1.086 * [backup-simplify]: Simplify (* x 0) into 0 1.086 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 1.086 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.086 * [backup-simplify]: Simplify (+ 1 0) into 1 1.086 * [backup-simplify]: Simplify (+ 0 1) into 1 1.086 * [taylor]: Taking taylor expansion of 1 in x 1.086 * [backup-simplify]: Simplify 1 into 1 1.087 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.087 * [backup-simplify]: Simplify (* 2.0 (/ 1 x)) into (/ 2.0 x) 1.087 * [backup-simplify]: Simplify (+ 0 (/ 2.0 x)) into (* 2.0 (/ 1 x)) 1.088 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 x))) into (* 2.0 (/ 1 x)) 1.088 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 1.088 * [taylor]: Taking taylor expansion of 2.0 in x 1.088 * [backup-simplify]: Simplify 2.0 into 2.0 1.088 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.088 * [taylor]: Taking taylor expansion of x in x 1.088 * [backup-simplify]: Simplify 0 into 0 1.088 * [backup-simplify]: Simplify 1 into 1 1.088 * [backup-simplify]: Simplify (/ 1 1) into 1 1.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.089 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 1.090 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 1.090 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 x))) into 0 1.090 * [backup-simplify]: Simplify (+ 0 0) into 0 1.091 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 1.091 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.091 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.091 * [taylor]: Taking taylor expansion of x in x 1.091 * [backup-simplify]: Simplify 0 into 0 1.091 * [backup-simplify]: Simplify 1 into 1 1.091 * [backup-simplify]: Simplify (* 1 1) into 1 1.091 * [backup-simplify]: Simplify (/ 1 1) into 1 1.091 * [backup-simplify]: Simplify 1 into 1 1.092 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 1.092 * [backup-simplify]: Simplify 2.0 into 2.0 1.092 * [backup-simplify]: Simplify 1 into 1 1.093 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (+ (* 2.0 (* (/ 1 (/ 1 (- x))) (/ 1 (/ 1 (- y))))) (* 1 (pow (* (/ 1 (/ 1 (- x))) 1) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) 1.093 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 1.093 * [backup-simplify]: Simplify (+ (* y (* x 2.0)) (pow y 2)) into (+ (pow y 2) (* 2.0 (* x y))) 1.093 * [approximate]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in (y x) around 0 1.093 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 1.093 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.093 * [taylor]: Taking taylor expansion of y in x 1.093 * [backup-simplify]: Simplify y into y 1.093 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 1.093 * [taylor]: Taking taylor expansion of 2.0 in x 1.093 * [backup-simplify]: Simplify 2.0 into 2.0 1.093 * [taylor]: Taking taylor expansion of (* x y) in x 1.093 * [taylor]: Taking taylor expansion of x in x 1.093 * [backup-simplify]: Simplify 0 into 0 1.093 * [backup-simplify]: Simplify 1 into 1 1.093 * [taylor]: Taking taylor expansion of y in x 1.094 * [backup-simplify]: Simplify y into y 1.094 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in y 1.094 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.094 * [taylor]: Taking taylor expansion of y in y 1.094 * [backup-simplify]: Simplify 0 into 0 1.094 * [backup-simplify]: Simplify 1 into 1 1.094 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 1.094 * [taylor]: Taking taylor expansion of 2.0 in y 1.094 * [backup-simplify]: Simplify 2.0 into 2.0 1.094 * [taylor]: Taking taylor expansion of (* x y) in y 1.094 * [taylor]: Taking taylor expansion of x in y 1.094 * [backup-simplify]: Simplify x into x 1.094 * [taylor]: Taking taylor expansion of y in y 1.094 * [backup-simplify]: Simplify 0 into 0 1.094 * [backup-simplify]: Simplify 1 into 1 1.094 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in y 1.094 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.094 * [taylor]: Taking taylor expansion of y in y 1.094 * [backup-simplify]: Simplify 0 into 0 1.094 * [backup-simplify]: Simplify 1 into 1 1.094 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 1.094 * [taylor]: Taking taylor expansion of 2.0 in y 1.094 * [backup-simplify]: Simplify 2.0 into 2.0 1.094 * [taylor]: Taking taylor expansion of (* x y) in y 1.094 * [taylor]: Taking taylor expansion of x in y 1.094 * [backup-simplify]: Simplify x into x 1.094 * [taylor]: Taking taylor expansion of y in y 1.094 * [backup-simplify]: Simplify 0 into 0 1.094 * [backup-simplify]: Simplify 1 into 1 1.094 * [backup-simplify]: Simplify (* x 0) into 0 1.095 * [backup-simplify]: Simplify (* 2.0 0) into 0 1.095 * [backup-simplify]: Simplify (+ 0 0) into 0 1.095 * [taylor]: Taking taylor expansion of 0 in x 1.095 * [backup-simplify]: Simplify 0 into 0 1.095 * [backup-simplify]: Simplify 0 into 0 1.098 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 1.099 * [backup-simplify]: Simplify (+ (* 2.0 x) (* 0 0)) into (* 2.0 x) 1.099 * [backup-simplify]: Simplify (+ 0 (* 2.0 x)) into (* 2.0 x) 1.099 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 1.099 * [taylor]: Taking taylor expansion of 2.0 in x 1.099 * [backup-simplify]: Simplify 2.0 into 2.0 1.099 * [taylor]: Taking taylor expansion of x in x 1.099 * [backup-simplify]: Simplify 0 into 0 1.099 * [backup-simplify]: Simplify 1 into 1 1.099 * [backup-simplify]: Simplify (* 2.0 0) into 0 1.099 * [backup-simplify]: Simplify 0 into 0 1.099 * [backup-simplify]: Simplify 0 into 0 1.100 * [backup-simplify]: Simplify (* 1 1) into 1 1.100 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 1.101 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 x) (* 0 0))) into 0 1.101 * [backup-simplify]: Simplify (+ 1 0) into 1 1.101 * [taylor]: Taking taylor expansion of 1 in x 1.101 * [backup-simplify]: Simplify 1 into 1 1.101 * [backup-simplify]: Simplify 1 into 1 1.103 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 1.103 * [backup-simplify]: Simplify 2.0 into 2.0 1.103 * [backup-simplify]: Simplify 0 into 0 1.103 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.104 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.105 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 x) (* 0 0)))) into 0 1.105 * [backup-simplify]: Simplify (+ 0 0) into 0 1.105 * [taylor]: Taking taylor expansion of 0 in x 1.106 * [backup-simplify]: Simplify 0 into 0 1.106 * [backup-simplify]: Simplify 0 into 0 1.106 * [backup-simplify]: Simplify 0 into 0 1.106 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0 1.107 * [backup-simplify]: Simplify 0 into 0 1.107 * [backup-simplify]: Simplify 0 into 0 1.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.108 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1.110 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 x) (* 0 0))))) into 0 1.110 * [backup-simplify]: Simplify (+ 0 0) into 0 1.110 * [taylor]: Taking taylor expansion of 0 in x 1.110 * [backup-simplify]: Simplify 0 into 0 1.110 * [backup-simplify]: Simplify 0 into 0 1.110 * [backup-simplify]: Simplify (+ (* 2.0 (* x y)) (* 1 (pow (* 1 y) 2))) into (+ (pow y 2) (* 2.0 (* x y))) 1.111 * [backup-simplify]: Simplify (+ (* (/ 1 y) (* (/ 1 x) 2.0)) (pow (/ 1 y) 2)) into (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) 1.111 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in (y x) around 0 1.111 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 1.111 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.111 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.111 * [taylor]: Taking taylor expansion of y in x 1.111 * [backup-simplify]: Simplify y into y 1.111 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.111 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.111 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 1.111 * [taylor]: Taking taylor expansion of 2.0 in x 1.111 * [backup-simplify]: Simplify 2.0 into 2.0 1.111 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.111 * [taylor]: Taking taylor expansion of (* x y) in x 1.111 * [taylor]: Taking taylor expansion of x in x 1.111 * [backup-simplify]: Simplify 0 into 0 1.111 * [backup-simplify]: Simplify 1 into 1 1.111 * [taylor]: Taking taylor expansion of y in x 1.111 * [backup-simplify]: Simplify y into y 1.111 * [backup-simplify]: Simplify (* 0 y) into 0 1.112 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.112 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.112 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 1.112 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.112 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.112 * [taylor]: Taking taylor expansion of y in y 1.112 * [backup-simplify]: Simplify 0 into 0 1.112 * [backup-simplify]: Simplify 1 into 1 1.112 * [backup-simplify]: Simplify (* 1 1) into 1 1.113 * [backup-simplify]: Simplify (/ 1 1) into 1 1.113 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 1.113 * [taylor]: Taking taylor expansion of 2.0 in y 1.113 * [backup-simplify]: Simplify 2.0 into 2.0 1.113 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.113 * [taylor]: Taking taylor expansion of (* x y) in y 1.113 * [taylor]: Taking taylor expansion of x in y 1.113 * [backup-simplify]: Simplify x into x 1.113 * [taylor]: Taking taylor expansion of y in y 1.113 * [backup-simplify]: Simplify 0 into 0 1.113 * [backup-simplify]: Simplify 1 into 1 1.113 * [backup-simplify]: Simplify (* x 0) into 0 1.113 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 1.113 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.113 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 1.113 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.113 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.113 * [taylor]: Taking taylor expansion of y in y 1.114 * [backup-simplify]: Simplify 0 into 0 1.114 * [backup-simplify]: Simplify 1 into 1 1.114 * [backup-simplify]: Simplify (* 1 1) into 1 1.114 * [backup-simplify]: Simplify (/ 1 1) into 1 1.114 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 1.114 * [taylor]: Taking taylor expansion of 2.0 in y 1.114 * [backup-simplify]: Simplify 2.0 into 2.0 1.114 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.114 * [taylor]: Taking taylor expansion of (* x y) in y 1.114 * [taylor]: Taking taylor expansion of x in y 1.114 * [backup-simplify]: Simplify x into x 1.114 * [taylor]: Taking taylor expansion of y in y 1.114 * [backup-simplify]: Simplify 0 into 0 1.114 * [backup-simplify]: Simplify 1 into 1 1.114 * [backup-simplify]: Simplify (* x 0) into 0 1.115 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 1.115 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.115 * [backup-simplify]: Simplify (+ 1 0) into 1 1.115 * [taylor]: Taking taylor expansion of 1 in x 1.115 * [backup-simplify]: Simplify 1 into 1 1.116 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.117 * [backup-simplify]: Simplify (* 2.0 (/ 1 x)) into (/ 2.0 x) 1.117 * [backup-simplify]: Simplify (+ 0 (/ 2.0 x)) into (* 2.0 (/ 1 x)) 1.117 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 1.117 * [taylor]: Taking taylor expansion of 2.0 in x 1.117 * [backup-simplify]: Simplify 2.0 into 2.0 1.117 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.117 * [taylor]: Taking taylor expansion of x in x 1.117 * [backup-simplify]: Simplify 0 into 0 1.117 * [backup-simplify]: Simplify 1 into 1 1.117 * [backup-simplify]: Simplify (/ 1 1) into 1 1.118 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 1.118 * [backup-simplify]: Simplify 2.0 into 2.0 1.118 * [backup-simplify]: Simplify 1 into 1 1.119 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.120 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 1.120 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 1.121 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 x))) into 0 1.121 * [backup-simplify]: Simplify (+ 0 0) into 0 1.121 * [taylor]: Taking taylor expansion of 0 in x 1.121 * [backup-simplify]: Simplify 0 into 0 1.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.122 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 1.122 * [backup-simplify]: Simplify 0 into 0 1.122 * [backup-simplify]: Simplify 0 into 0 1.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.125 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.125 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 1.126 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 1.126 * [backup-simplify]: Simplify (+ 0 0) into 0 1.126 * [taylor]: Taking taylor expansion of 0 in x 1.126 * [backup-simplify]: Simplify 0 into 0 1.126 * [backup-simplify]: Simplify 0 into 0 1.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.128 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 1.128 * [backup-simplify]: Simplify 0 into 0 1.128 * [backup-simplify]: Simplify 0 into 0 1.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.131 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1.131 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 1.132 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 1.132 * [backup-simplify]: Simplify (+ 0 0) into 0 1.132 * [taylor]: Taking taylor expansion of 0 in x 1.132 * [backup-simplify]: Simplify 0 into 0 1.133 * [backup-simplify]: Simplify 0 into 0 1.133 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 2)) (* 2.0 (* (/ 1 (/ 1 x)) (/ 1 (/ 1 y))))) into (+ (pow y 2) (* 2.0 (* x y))) 1.133 * [backup-simplify]: Simplify (+ (* (/ 1 (- y)) (* (/ 1 (- x)) 2.0)) (pow (/ 1 (- y)) 2)) into (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) 1.133 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in (y x) around 0 1.133 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 1.133 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.133 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.134 * [taylor]: Taking taylor expansion of y in x 1.134 * [backup-simplify]: Simplify y into y 1.134 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.134 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.134 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 1.134 * [taylor]: Taking taylor expansion of 2.0 in x 1.134 * [backup-simplify]: Simplify 2.0 into 2.0 1.134 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.134 * [taylor]: Taking taylor expansion of (* x y) in x 1.134 * [taylor]: Taking taylor expansion of x in x 1.134 * [backup-simplify]: Simplify 0 into 0 1.134 * [backup-simplify]: Simplify 1 into 1 1.134 * [taylor]: Taking taylor expansion of y in x 1.134 * [backup-simplify]: Simplify y into y 1.134 * [backup-simplify]: Simplify (* 0 y) into 0 1.134 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.135 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.135 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 1.135 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.135 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.135 * [taylor]: Taking taylor expansion of y in y 1.135 * [backup-simplify]: Simplify 0 into 0 1.135 * [backup-simplify]: Simplify 1 into 1 1.135 * [backup-simplify]: Simplify (* 1 1) into 1 1.136 * [backup-simplify]: Simplify (/ 1 1) into 1 1.136 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 1.136 * [taylor]: Taking taylor expansion of 2.0 in y 1.136 * [backup-simplify]: Simplify 2.0 into 2.0 1.136 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.136 * [taylor]: Taking taylor expansion of (* x y) in y 1.136 * [taylor]: Taking taylor expansion of x in y 1.136 * [backup-simplify]: Simplify x into x 1.136 * [taylor]: Taking taylor expansion of y in y 1.136 * [backup-simplify]: Simplify 0 into 0 1.136 * [backup-simplify]: Simplify 1 into 1 1.136 * [backup-simplify]: Simplify (* x 0) into 0 1.136 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 1.136 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.136 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 1.136 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.136 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.136 * [taylor]: Taking taylor expansion of y in y 1.136 * [backup-simplify]: Simplify 0 into 0 1.137 * [backup-simplify]: Simplify 1 into 1 1.137 * [backup-simplify]: Simplify (* 1 1) into 1 1.137 * [backup-simplify]: Simplify (/ 1 1) into 1 1.137 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 1.137 * [taylor]: Taking taylor expansion of 2.0 in y 1.137 * [backup-simplify]: Simplify 2.0 into 2.0 1.137 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.137 * [taylor]: Taking taylor expansion of (* x y) in y 1.137 * [taylor]: Taking taylor expansion of x in y 1.137 * [backup-simplify]: Simplify x into x 1.137 * [taylor]: Taking taylor expansion of y in y 1.137 * [backup-simplify]: Simplify 0 into 0 1.137 * [backup-simplify]: Simplify 1 into 1 1.137 * [backup-simplify]: Simplify (* x 0) into 0 1.138 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 1.138 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.138 * [backup-simplify]: Simplify (+ 1 0) into 1 1.138 * [taylor]: Taking taylor expansion of 1 in x 1.138 * [backup-simplify]: Simplify 1 into 1 1.139 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.140 * [backup-simplify]: Simplify (* 2.0 (/ 1 x)) into (/ 2.0 x) 1.140 * [backup-simplify]: Simplify (+ 0 (/ 2.0 x)) into (* 2.0 (/ 1 x)) 1.140 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 1.140 * [taylor]: Taking taylor expansion of 2.0 in x 1.140 * [backup-simplify]: Simplify 2.0 into 2.0 1.140 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.140 * [taylor]: Taking taylor expansion of x in x 1.140 * [backup-simplify]: Simplify 0 into 0 1.140 * [backup-simplify]: Simplify 1 into 1 1.140 * [backup-simplify]: Simplify (/ 1 1) into 1 1.141 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 1.141 * [backup-simplify]: Simplify 2.0 into 2.0 1.141 * [backup-simplify]: Simplify 1 into 1 1.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.143 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 1.143 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 1.144 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 x))) into 0 1.144 * [backup-simplify]: Simplify (+ 0 0) into 0 1.144 * [taylor]: Taking taylor expansion of 0 in x 1.144 * [backup-simplify]: Simplify 0 into 0 1.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.145 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 1.146 * [backup-simplify]: Simplify 0 into 0 1.146 * [backup-simplify]: Simplify 0 into 0 1.147 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.148 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.148 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 1.149 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 1.149 * [backup-simplify]: Simplify (+ 0 0) into 0 1.149 * [taylor]: Taking taylor expansion of 0 in x 1.149 * [backup-simplify]: Simplify 0 into 0 1.149 * [backup-simplify]: Simplify 0 into 0 1.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.151 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 1.151 * [backup-simplify]: Simplify 0 into 0 1.151 * [backup-simplify]: Simplify 0 into 0 1.152 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.154 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1.154 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 1.155 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 1.155 * [backup-simplify]: Simplify (+ 0 0) into 0 1.155 * [taylor]: Taking taylor expansion of 0 in x 1.155 * [backup-simplify]: Simplify 0 into 0 1.155 * [backup-simplify]: Simplify 0 into 0 1.156 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (* 2.0 (* (/ 1 (/ 1 (- x))) (/ 1 (/ 1 (- y)))))) into (+ (pow y 2) (* 2.0 (* x y))) 1.156 * * * [progress]: simplifying candidates 1.157 * [simplify]: Simplifying: (* (* (exp (* y (* x 2.0))) (exp (pow y 2))) (exp (* x x))) (* (exp (+ (* y (* x 2.0)) (pow y 2))) (exp (* x x))) (log (+ (+ (* y (* x 2.0)) (pow y 2)) (* x x))) (exp (+ (+ (* y (* x 2.0)) (pow y 2)) (* x x))) (* (cbrt (+ (+ (* y (* x 2.0)) (pow y 2)) (* x x))) (cbrt (+ (+ (* y (* x 2.0)) (pow y 2)) (* x x)))) (cbrt (+ (+ (* y (* x 2.0)) (pow y 2)) (* x x))) (* (* (+ (+ (* y (* x 2.0)) (pow y 2)) (* x x)) (+ (+ (* y (* x 2.0)) (pow y 2)) (* x x))) (+ (+ (* y (* x 2.0)) (pow y 2)) (* x x))) (sqrt (+ (+ (* y (* x 2.0)) (pow y 2)) (* x x))) (sqrt (+ (+ (* y (* x 2.0)) (pow y 2)) (* x x))) (+ (pow (+ (* y (* x 2.0)) (pow y 2)) 3) (pow (* x x) 3)) (+ (* (+ (* y (* x 2.0)) (pow y 2)) (+ (* y (* x 2.0)) (pow y 2))) (- (* (* x x) (* x x)) (* (+ (* y (* x 2.0)) (pow y 2)) (* x x)))) (- (* (+ (* y (* x 2.0)) (pow y 2)) (+ (* y (* x 2.0)) (pow y 2))) (* (* x x) (* x x))) (- (+ (* y (* x 2.0)) (pow y 2)) (* x x)) (+ (pow y 2) (* x x)) (* (exp (* y (* x 2.0))) (exp (pow y 2))) (log (+ (* y (* x 2.0)) (pow y 2))) (exp (+ (* y (* x 2.0)) (pow y 2))) (* (cbrt (+ (* y (* x 2.0)) (pow y 2))) (cbrt (+ (* y (* x 2.0)) (pow y 2)))) (cbrt (+ (* y (* x 2.0)) (pow y 2))) (* (* (+ (* y (* x 2.0)) (pow y 2)) (+ (* y (* x 2.0)) (pow y 2))) (+ (* y (* x 2.0)) (pow y 2))) (sqrt (+ (* y (* x 2.0)) (pow y 2))) (sqrt (+ (* y (* x 2.0)) (pow y 2))) (+ (pow (* y (* x 2.0)) 3) (pow (pow y 2) 3)) (+ (* (* y (* x 2.0)) (* y (* x 2.0))) (- (* (pow y 2) (pow y 2)) (* (* y (* x 2.0)) (pow y 2)))) (- (* (* y (* x 2.0)) (* y (* x 2.0))) (* (pow y 2) (pow y 2))) (- (* y (* x 2.0)) (pow y 2)) (+ (* x 2.0) y) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) (+ (pow y 2) (* 2.0 (* x y))) (+ (pow y 2) (* 2.0 (* x y))) (+ (pow y 2) (* 2.0 (* x y))) 3.320 * * * [progress]: adding candidates to table 3.416 * [progress]: [Phase 3 of 3] Extracting. 3.416 * * [regime]: Finding splitpoints for: (# #) 3.416 * * * [regime-changes]: Trying 2 branch expressions: (y x) 3.416 * * * * [regimes]: Trying to branch on y from (# #) 3.432 * * * * [regimes]: Trying to branch on x from (# #) 3.452 * * * [regime]: Found split indices: #