92.430 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.048 * * * [progress]: [2/2] Setting up program. 0.051 * [progress]: [Phase 2 of 3] Improving. 0.051 * [simplify]: Simplifying: (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) 0.099 * * [progress]: iteration 1 / 4 0.099 * * * [progress]: picking best candidate 0.103 * * * * [pick]: Picked # 0.103 * * * [progress]: localizing error 0.118 * * * [progress]: generating rewritten candidates 0.118 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.168 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.184 * * * [progress]: generating series expansions 0.184 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.185 * [backup-simplify]: Simplify (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) into (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) 0.185 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in (x y) around 0 0.185 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in y 0.185 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.185 * [taylor]: Taking taylor expansion of x in y 0.185 * [backup-simplify]: Simplify x into x 0.185 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in y 0.185 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.185 * [taylor]: Taking taylor expansion of y in y 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify 1 into 1 0.185 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.185 * [taylor]: Taking taylor expansion of 2.0 in y 0.185 * [backup-simplify]: Simplify 2.0 into 2.0 0.185 * [taylor]: Taking taylor expansion of (* x y) in y 0.185 * [taylor]: Taking taylor expansion of x in y 0.185 * [backup-simplify]: Simplify x into x 0.185 * [taylor]: Taking taylor expansion of y in y 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify 1 into 1 0.185 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.185 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.185 * [taylor]: Taking taylor expansion of x in x 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify 1 into 1 0.185 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.185 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.185 * [taylor]: Taking taylor expansion of y in x 0.185 * [backup-simplify]: Simplify y into y 0.185 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.185 * [taylor]: Taking taylor expansion of 2.0 in x 0.185 * [backup-simplify]: Simplify 2.0 into 2.0 0.185 * [taylor]: Taking taylor expansion of (* x y) in x 0.185 * [taylor]: Taking taylor expansion of x in x 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify 1 into 1 0.185 * [taylor]: Taking taylor expansion of y in x 0.185 * [backup-simplify]: Simplify y into y 0.185 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.185 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.185 * [taylor]: Taking taylor expansion of x in x 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify 1 into 1 0.186 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.186 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.186 * [taylor]: Taking taylor expansion of y in x 0.186 * [backup-simplify]: Simplify y into y 0.186 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.186 * [taylor]: Taking taylor expansion of 2.0 in x 0.186 * [backup-simplify]: Simplify 2.0 into 2.0 0.186 * [taylor]: Taking taylor expansion of (* x y) in x 0.186 * [taylor]: Taking taylor expansion of x in x 0.186 * [backup-simplify]: Simplify 0 into 0 0.186 * [backup-simplify]: Simplify 1 into 1 0.186 * [taylor]: Taking taylor expansion of y in x 0.186 * [backup-simplify]: Simplify y into y 0.186 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.186 * [backup-simplify]: Simplify (* 0 y) into 0 0.187 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.187 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 0.187 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.187 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.187 * [taylor]: Taking taylor expansion of y in y 0.187 * [backup-simplify]: Simplify 0 into 0 0.187 * [backup-simplify]: Simplify 1 into 1 0.187 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.187 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.188 * [backup-simplify]: Simplify (+ (* 2.0 y) (* 0 0)) into (* 2.0 y) 0.188 * [backup-simplify]: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y) 0.188 * [backup-simplify]: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y) 0.188 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.188 * [taylor]: Taking taylor expansion of 2.0 in y 0.188 * [backup-simplify]: Simplify 2.0 into 2.0 0.188 * [taylor]: Taking taylor expansion of y in y 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify 1 into 1 0.188 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify (* 1 1) into 1 0.189 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.189 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.190 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 y) (* 0 0))) into 0 0.190 * [backup-simplify]: Simplify (+ 0 0) into 0 0.191 * [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 into 1 0.192 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 0.192 * [backup-simplify]: Simplify 2.0 into 2.0 0.192 * [backup-simplify]: Simplify (* 1 1) into 1 0.192 * [backup-simplify]: Simplify 1 into 1 0.193 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (+ (* 2.0 (* y x)) (* 1 (pow (* 1 x) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) 0.193 * [backup-simplify]: Simplify (+ (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 x) 2.0) (/ 1 y))) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) 0.193 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0 0.193 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.193 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.193 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.193 * [taylor]: Taking taylor expansion of x in y 0.193 * [backup-simplify]: Simplify x into x 0.193 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.194 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.194 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.194 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.194 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.194 * [taylor]: Taking taylor expansion of y in y 0.194 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify 1 into 1 0.194 * [backup-simplify]: Simplify (* 1 1) into 1 0.194 * [backup-simplify]: Simplify (/ 1 1) into 1 0.194 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.194 * [taylor]: Taking taylor expansion of 2.0 in y 0.194 * [backup-simplify]: Simplify 2.0 into 2.0 0.194 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.194 * [taylor]: Taking taylor expansion of (* x y) in y 0.194 * [taylor]: Taking taylor expansion of x in y 0.194 * [backup-simplify]: Simplify x into x 0.194 * [taylor]: Taking taylor expansion of y in y 0.194 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify 1 into 1 0.194 * [backup-simplify]: Simplify (* x 0) into 0 0.195 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.195 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.195 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.195 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.195 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.195 * [taylor]: Taking taylor expansion of x in x 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify 1 into 1 0.195 * [backup-simplify]: Simplify (* 1 1) into 1 0.196 * [backup-simplify]: Simplify (/ 1 1) into 1 0.196 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.196 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.196 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.196 * [taylor]: Taking taylor expansion of y in x 0.196 * [backup-simplify]: Simplify y into y 0.196 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.196 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.196 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.196 * [taylor]: Taking taylor expansion of 2.0 in x 0.196 * [backup-simplify]: Simplify 2.0 into 2.0 0.196 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.196 * [taylor]: Taking taylor expansion of (* x y) in x 0.196 * [taylor]: Taking taylor expansion of x in x 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify 1 into 1 0.196 * [taylor]: Taking taylor expansion of y in x 0.196 * [backup-simplify]: Simplify y into y 0.196 * [backup-simplify]: Simplify (* 0 y) into 0 0.197 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.197 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.197 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.197 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.197 * [taylor]: Taking taylor expansion of (pow x 2) 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 0.198 * [backup-simplify]: Simplify (/ 1 1) into 1 0.198 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.198 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.198 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.198 * [taylor]: Taking taylor expansion of y in x 0.198 * [backup-simplify]: Simplify y into y 0.198 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.198 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.198 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.198 * [taylor]: Taking taylor expansion of 2.0 in x 0.198 * [backup-simplify]: Simplify 2.0 into 2.0 0.198 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.198 * [taylor]: Taking taylor expansion of (* x y) in x 0.198 * [taylor]: Taking taylor expansion of x in x 0.198 * [backup-simplify]: Simplify 0 into 0 0.198 * [backup-simplify]: Simplify 1 into 1 0.198 * [taylor]: Taking taylor expansion of y in x 0.198 * [backup-simplify]: Simplify y into y 0.198 * [backup-simplify]: Simplify (* 0 y) into 0 0.199 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.199 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.199 * [backup-simplify]: Simplify (+ 1 0) into 1 0.199 * [taylor]: Taking taylor expansion of 1 in y 0.199 * [backup-simplify]: Simplify 1 into 1 0.200 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.201 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y) 0.201 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) 0.201 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 y))) into (* 2.0 (/ 1 y)) 0.201 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.201 * [taylor]: Taking taylor expansion of 2.0 in y 0.201 * [backup-simplify]: Simplify 2.0 into 2.0 0.201 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.201 * [taylor]: Taking taylor expansion of y in y 0.201 * [backup-simplify]: Simplify 0 into 0 0.201 * [backup-simplify]: Simplify 1 into 1 0.201 * [backup-simplify]: Simplify (/ 1 1) into 1 0.202 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.204 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.204 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.204 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 y))) into 0 0.204 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 0.204 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.204 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.204 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.204 * [taylor]: Taking taylor expansion of y in y 0.205 * [backup-simplify]: Simplify 0 into 0 0.205 * [backup-simplify]: Simplify 1 into 1 0.205 * [backup-simplify]: Simplify (* 1 1) into 1 0.205 * [backup-simplify]: Simplify (/ 1 1) into 1 0.205 * [backup-simplify]: Simplify 1 into 1 0.206 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.206 * [backup-simplify]: Simplify 2.0 into 2.0 0.206 * [backup-simplify]: Simplify 1 into 1 0.206 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (+ (* 2.0 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) 0.207 * [backup-simplify]: Simplify (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- x)) 2.0) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) 0.207 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0 0.207 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.207 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.207 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.207 * [taylor]: Taking taylor expansion of x in y 0.207 * [backup-simplify]: Simplify x into x 0.207 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.207 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.207 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.207 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.207 * [taylor]: Taking taylor expansion of (pow y 2) in y 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 0.208 * [backup-simplify]: Simplify (* 1 1) into 1 0.208 * [backup-simplify]: Simplify (/ 1 1) into 1 0.208 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.208 * [taylor]: Taking taylor expansion of 2.0 in y 0.208 * [backup-simplify]: Simplify 2.0 into 2.0 0.208 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.208 * [taylor]: Taking taylor expansion of (* x y) in y 0.208 * [taylor]: Taking taylor expansion of x in y 0.208 * [backup-simplify]: Simplify x into x 0.208 * [taylor]: Taking taylor expansion of y in y 0.208 * [backup-simplify]: Simplify 0 into 0 0.208 * [backup-simplify]: Simplify 1 into 1 0.208 * [backup-simplify]: Simplify (* x 0) into 0 0.209 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.209 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.209 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.209 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.209 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.209 * [taylor]: Taking taylor expansion of x in x 0.209 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify 1 into 1 0.209 * [backup-simplify]: Simplify (* 1 1) into 1 0.210 * [backup-simplify]: Simplify (/ 1 1) into 1 0.210 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.210 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.210 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.210 * [taylor]: Taking taylor expansion of y in x 0.210 * [backup-simplify]: Simplify y into y 0.210 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.210 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.210 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.210 * [taylor]: Taking taylor expansion of 2.0 in x 0.210 * [backup-simplify]: Simplify 2.0 into 2.0 0.210 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.210 * [taylor]: Taking taylor expansion of (* x y) in x 0.210 * [taylor]: Taking taylor expansion of x in x 0.210 * [backup-simplify]: Simplify 0 into 0 0.210 * [backup-simplify]: Simplify 1 into 1 0.210 * [taylor]: Taking taylor expansion of y in x 0.210 * [backup-simplify]: Simplify y into y 0.210 * [backup-simplify]: Simplify (* 0 y) into 0 0.211 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.211 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.211 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.211 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.211 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.211 * [taylor]: Taking taylor expansion of x in x 0.211 * [backup-simplify]: Simplify 0 into 0 0.211 * [backup-simplify]: Simplify 1 into 1 0.211 * [backup-simplify]: Simplify (* 1 1) into 1 0.211 * [backup-simplify]: Simplify (/ 1 1) into 1 0.212 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.212 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.212 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.212 * [taylor]: Taking taylor expansion of y in x 0.212 * [backup-simplify]: Simplify y into y 0.212 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.212 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.212 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.212 * [taylor]: Taking taylor expansion of 2.0 in x 0.212 * [backup-simplify]: Simplify 2.0 into 2.0 0.212 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.212 * [taylor]: Taking taylor expansion of (* x y) in x 0.212 * [taylor]: Taking taylor expansion of x in x 0.212 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify 1 into 1 0.212 * [taylor]: Taking taylor expansion of y in x 0.212 * [backup-simplify]: Simplify y into y 0.212 * [backup-simplify]: Simplify (* 0 y) into 0 0.212 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.213 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.213 * [backup-simplify]: Simplify (+ 1 0) into 1 0.213 * [taylor]: Taking taylor expansion of 1 in y 0.213 * [backup-simplify]: Simplify 1 into 1 0.214 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.214 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y) 0.214 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) 0.214 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 y))) into (* 2.0 (/ 1 y)) 0.214 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.215 * [taylor]: Taking taylor expansion of 2.0 in y 0.215 * [backup-simplify]: Simplify 2.0 into 2.0 0.215 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.215 * [taylor]: Taking taylor expansion of y in y 0.215 * [backup-simplify]: Simplify 0 into 0 0.215 * [backup-simplify]: Simplify 1 into 1 0.215 * [backup-simplify]: Simplify (/ 1 1) into 1 0.216 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.217 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.217 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.218 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 y))) into 0 0.218 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 0.218 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.218 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) 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 * [backup-simplify]: Simplify (* 1 1) into 1 0.219 * [backup-simplify]: Simplify (/ 1 1) into 1 0.219 * [backup-simplify]: Simplify 1 into 1 0.219 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.219 * [backup-simplify]: Simplify 2.0 into 2.0 0.219 * [backup-simplify]: Simplify 1 into 1 0.220 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (+ (* 2.0 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) 0.220 * * * * [progress]: [ 2 / 2 ] generating series at (2 1) 0.220 * [backup-simplify]: Simplify (+ (* x x) (* (* x 2.0) y)) into (+ (pow x 2) (* 2.0 (* x y))) 0.220 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in (x y) around 0 0.220 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in y 0.220 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.220 * [taylor]: Taking taylor expansion of x in y 0.220 * [backup-simplify]: Simplify x into x 0.220 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.220 * [taylor]: Taking taylor expansion of 2.0 in y 0.220 * [backup-simplify]: Simplify 2.0 into 2.0 0.220 * [taylor]: Taking taylor expansion of (* x y) in y 0.220 * [taylor]: Taking taylor expansion of x in y 0.221 * [backup-simplify]: Simplify x into x 0.221 * [taylor]: Taking taylor expansion of y in y 0.221 * [backup-simplify]: Simplify 0 into 0 0.221 * [backup-simplify]: Simplify 1 into 1 0.221 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x 0.221 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.221 * [taylor]: Taking taylor expansion of x in x 0.221 * [backup-simplify]: Simplify 0 into 0 0.221 * [backup-simplify]: Simplify 1 into 1 0.221 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.221 * [taylor]: Taking taylor expansion of 2.0 in x 0.221 * [backup-simplify]: Simplify 2.0 into 2.0 0.221 * [taylor]: Taking taylor expansion of (* x y) in x 0.221 * [taylor]: Taking taylor expansion of x in x 0.221 * [backup-simplify]: Simplify 0 into 0 0.221 * [backup-simplify]: Simplify 1 into 1 0.221 * [taylor]: Taking taylor expansion of y in x 0.221 * [backup-simplify]: Simplify y into y 0.221 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x 0.221 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.221 * [taylor]: Taking taylor expansion of x in x 0.221 * [backup-simplify]: Simplify 0 into 0 0.221 * [backup-simplify]: Simplify 1 into 1 0.221 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.221 * [taylor]: Taking taylor expansion of 2.0 in x 0.221 * [backup-simplify]: Simplify 2.0 into 2.0 0.221 * [taylor]: Taking taylor expansion of (* x y) in x 0.221 * [taylor]: Taking taylor expansion of x in x 0.221 * [backup-simplify]: Simplify 0 into 0 0.221 * [backup-simplify]: Simplify 1 into 1 0.221 * [taylor]: Taking taylor expansion of y in x 0.221 * [backup-simplify]: Simplify y into y 0.221 * [backup-simplify]: Simplify (* 0 y) into 0 0.222 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.222 * [backup-simplify]: Simplify (+ 0 0) into 0 0.222 * [taylor]: Taking taylor expansion of 0 in y 0.222 * [backup-simplify]: Simplify 0 into 0 0.222 * [backup-simplify]: Simplify 0 into 0 0.223 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.223 * [backup-simplify]: Simplify (+ (* 2.0 y) (* 0 0)) into (* 2.0 y) 0.223 * [backup-simplify]: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y) 0.223 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.223 * [taylor]: Taking taylor expansion of 2.0 in y 0.223 * [backup-simplify]: Simplify 2.0 into 2.0 0.223 * [taylor]: Taking taylor expansion of y in y 0.223 * [backup-simplify]: Simplify 0 into 0 0.223 * [backup-simplify]: Simplify 1 into 1 0.223 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.224 * [backup-simplify]: Simplify 0 into 0 0.224 * [backup-simplify]: Simplify 0 into 0 0.224 * [backup-simplify]: Simplify (* 1 1) into 1 0.225 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.225 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 y) (* 0 0))) into 0 0.226 * [backup-simplify]: Simplify (+ 1 0) into 1 0.226 * [taylor]: Taking taylor expansion of 1 in y 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 0 into 0 0.228 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.229 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.230 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0)))) 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 0 into 0 0.230 * [backup-simplify]: Simplify 0 into 0 0.231 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 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 1))) into 0 0.233 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.235 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0))))) 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 (+ (* 2.0 (* y x)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 2.0 (* x y))) 0.236 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 x) 2.0) (/ 1 y))) into (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) 0.236 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in (x y) around 0 0.236 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x 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 (* 2.0 (/ 1 (* x y))) in y 0.236 * [taylor]: Taking taylor expansion of 2.0 in y 0.236 * [backup-simplify]: Simplify 2.0 into 2.0 0.236 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.236 * [taylor]: Taking taylor expansion of (* x y) in y 0.236 * [taylor]: Taking taylor expansion of x in y 0.236 * [backup-simplify]: Simplify x into x 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 0.236 * [backup-simplify]: Simplify (* x 0) into 0 0.237 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.237 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.237 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x 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 (* 2.0 (/ 1 (* x y))) in x 0.238 * [taylor]: Taking taylor expansion of 2.0 in x 0.238 * [backup-simplify]: Simplify 2.0 into 2.0 0.238 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.238 * [taylor]: Taking taylor expansion of (* x y) 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 0.238 * [taylor]: Taking taylor expansion of y in x 0.238 * [backup-simplify]: Simplify y into y 0.238 * [backup-simplify]: Simplify (* 0 y) into 0 0.238 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.238 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.238 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x 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 (* 2.0 (/ 1 (* x y))) in x 0.239 * [taylor]: Taking taylor expansion of 2.0 in x 0.239 * [backup-simplify]: Simplify 2.0 into 2.0 0.239 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.239 * [taylor]: Taking taylor expansion of (* x y) 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 0.239 * [taylor]: Taking taylor expansion of y in x 0.239 * [backup-simplify]: Simplify y into y 0.240 * [backup-simplify]: Simplify (* 0 y) into 0 0.240 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.240 * [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 0.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.242 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y) 0.242 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) 0.242 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.242 * [taylor]: Taking taylor expansion of 2.0 in y 0.242 * [backup-simplify]: Simplify 2.0 into 2.0 0.242 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.242 * [taylor]: Taking taylor expansion of y in y 0.242 * [backup-simplify]: Simplify 0 into 0 0.242 * [backup-simplify]: Simplify 1 into 1 0.243 * [backup-simplify]: Simplify (/ 1 1) into 1 0.243 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.243 * [backup-simplify]: Simplify 2.0 into 2.0 0.243 * [backup-simplify]: Simplify 1 into 1 0.244 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.245 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.245 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.246 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 y))) into 0 0.246 * [backup-simplify]: Simplify (+ 0 0) into 0 0.246 * [taylor]: Taking taylor expansion of 0 in y 0.246 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.248 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 0.248 * [backup-simplify]: Simplify 0 into 0 0.248 * [backup-simplify]: Simplify 0 into 0 0.249 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.250 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.251 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.251 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.252 * [backup-simplify]: Simplify (+ 0 0) into 0 0.252 * [taylor]: Taking taylor expansion of 0 in y 0.252 * [backup-simplify]: Simplify 0 into 0 0.252 * [backup-simplify]: Simplify 0 into 0 0.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.253 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 0.254 * [backup-simplify]: Simplify 0 into 0 0.254 * [backup-simplify]: Simplify 0 into 0 0.255 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.257 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.257 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.258 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 0.258 * [backup-simplify]: Simplify (+ 0 0) into 0 0.258 * [taylor]: Taking taylor expansion of 0 in y 0.258 * [backup-simplify]: Simplify 0 into 0 0.258 * [backup-simplify]: Simplify 0 into 0 0.259 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 2.0 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (+ (pow x 2) (* 2.0 (* x y))) 0.259 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- x)) 2.0) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) 0.259 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in (x y) around 0 0.259 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 0.259 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.259 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.259 * [taylor]: Taking taylor expansion of x in y 0.259 * [backup-simplify]: Simplify x into x 0.259 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.259 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.259 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.259 * [taylor]: Taking taylor expansion of 2.0 in y 0.259 * [backup-simplify]: Simplify 2.0 into 2.0 0.260 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.260 * [taylor]: Taking taylor expansion of (* x y) in y 0.260 * [taylor]: Taking taylor expansion of x in y 0.260 * [backup-simplify]: Simplify x into x 0.260 * [taylor]: Taking taylor expansion of y in y 0.260 * [backup-simplify]: Simplify 0 into 0 0.260 * [backup-simplify]: Simplify 1 into 1 0.260 * [backup-simplify]: Simplify (* x 0) into 0 0.260 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.260 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.260 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.260 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.260 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.260 * [taylor]: Taking taylor expansion of x in x 0.260 * [backup-simplify]: Simplify 0 into 0 0.260 * [backup-simplify]: Simplify 1 into 1 0.261 * [backup-simplify]: Simplify (* 1 1) into 1 0.261 * [backup-simplify]: Simplify (/ 1 1) into 1 0.261 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.261 * [taylor]: Taking taylor expansion of 2.0 in x 0.261 * [backup-simplify]: Simplify 2.0 into 2.0 0.261 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.261 * [taylor]: Taking taylor expansion of (* x y) in x 0.261 * [taylor]: Taking taylor expansion of x in x 0.261 * [backup-simplify]: Simplify 0 into 0 0.261 * [backup-simplify]: Simplify 1 into 1 0.261 * [taylor]: Taking taylor expansion of y in x 0.261 * [backup-simplify]: Simplify y into y 0.261 * [backup-simplify]: Simplify (* 0 y) into 0 0.264 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.264 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.264 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.265 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.265 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.265 * [taylor]: Taking taylor expansion of x in x 0.265 * [backup-simplify]: Simplify 0 into 0 0.265 * [backup-simplify]: Simplify 1 into 1 0.265 * [backup-simplify]: Simplify (* 1 1) into 1 0.265 * [backup-simplify]: Simplify (/ 1 1) into 1 0.265 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.265 * [taylor]: Taking taylor expansion of 2.0 in x 0.265 * [backup-simplify]: Simplify 2.0 into 2.0 0.265 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.265 * [taylor]: Taking taylor expansion of (* x y) in x 0.265 * [taylor]: Taking taylor expansion of x in x 0.265 * [backup-simplify]: Simplify 0 into 0 0.265 * [backup-simplify]: Simplify 1 into 1 0.265 * [taylor]: Taking taylor expansion of y in x 0.265 * [backup-simplify]: Simplify y into y 0.265 * [backup-simplify]: Simplify (* 0 y) into 0 0.266 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.266 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.266 * [backup-simplify]: Simplify (+ 1 0) into 1 0.266 * [taylor]: Taking taylor expansion of 1 in y 0.266 * [backup-simplify]: Simplify 1 into 1 0.266 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.267 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y) 0.267 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) 0.267 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.267 * [taylor]: Taking taylor expansion of 2.0 in y 0.267 * [backup-simplify]: Simplify 2.0 into 2.0 0.267 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.267 * [taylor]: Taking taylor expansion of y in y 0.267 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify 1 into 1 0.267 * [backup-simplify]: Simplify (/ 1 1) into 1 0.268 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.268 * [backup-simplify]: Simplify 2.0 into 2.0 0.268 * [backup-simplify]: Simplify 1 into 1 0.268 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.269 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.269 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.269 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 y))) into 0 0.270 * [backup-simplify]: Simplify (+ 0 0) into 0 0.270 * [taylor]: Taking taylor expansion of 0 in y 0.270 * [backup-simplify]: Simplify 0 into 0 0.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.271 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 0.271 * [backup-simplify]: Simplify 0 into 0 0.271 * [backup-simplify]: Simplify 0 into 0 0.271 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.272 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.272 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.273 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.273 * [backup-simplify]: Simplify (+ 0 0) into 0 0.273 * [taylor]: Taking taylor expansion of 0 in y 0.273 * [backup-simplify]: Simplify 0 into 0 0.273 * [backup-simplify]: Simplify 0 into 0 0.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.274 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 0.274 * [backup-simplify]: Simplify 0 into 0 0.274 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.276 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.277 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.277 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 0.278 * [backup-simplify]: Simplify (+ 0 0) into 0 0.278 * [taylor]: Taking taylor expansion of 0 in y 0.278 * [backup-simplify]: Simplify 0 into 0 0.278 * [backup-simplify]: Simplify 0 into 0 0.278 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 2.0 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (+ (pow x 2) (* 2.0 (* x y))) 0.278 * * * [progress]: simplifying candidates 0.279 * [simplify]: Simplifying: (* (* (exp (* x x)) (exp (* (* x 2.0) y))) (exp (* y y))) (* (exp (+ (* x x) (* (* x 2.0) y))) (exp (* y y))) (log (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (exp (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (* (cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) (cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (* (* (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (+ (pow (+ (* x x) (* (* x 2.0) y)) 3) (pow (* y y) 3)) (+ (* (+ (* x x) (* (* x 2.0) y)) (+ (* x x) (* (* x 2.0) y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* (* x 2.0) y)) (* y y)))) (- (* (+ (* x x) (* (* x 2.0) y)) (+ (* x x) (* (* x 2.0) y))) (* (* y y) (* y y))) (- (+ (* x x) (* (* x 2.0) y)) (* y y)) (+ (* (* x 2.0) y) (* y y)) (* (exp (* x x)) (exp (* (* x 2.0) y))) (log (+ (* x x) (* (* x 2.0) y))) (exp (+ (* x x) (* (* x 2.0) y))) (* (cbrt (+ (* x x) (* (* x 2.0) y))) (cbrt (+ (* x x) (* (* x 2.0) y)))) (cbrt (+ (* x x) (* (* x 2.0) y))) (* (* (+ (* x x) (* (* x 2.0) y)) (+ (* x x) (* (* x 2.0) y))) (+ (* x x) (* (* x 2.0) y))) (sqrt (+ (* x x) (* (* x 2.0) y))) (sqrt (+ (* x x) (* (* x 2.0) y))) (+ (pow (* x x) 3) (pow (* (* x 2.0) y) 3)) (+ (* (* x x) (* x x)) (- (* (* (* x 2.0) y) (* (* x 2.0) y)) (* (* x x) (* (* x 2.0) y)))) (- (* (* x x) (* x x)) (* (* (* x 2.0) y) (* (* x 2.0) y))) (- (* x x) (* (* 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 x 2) (* 2.0 (* x y))) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow x 2) (* 2.0 (* x y))) 0.731 * * * [progress]: adding candidates to table 0.799 * * [progress]: iteration 2 / 4 0.799 * * * [progress]: picking best candidate 0.800 * * * * [pick]: Picked # 0.800 * * * [progress]: localizing error 0.808 * * * [progress]: generating rewritten candidates 0.808 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.834 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.849 * * * [progress]: generating series expansions 0.849 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.849 * [backup-simplify]: Simplify (* y (+ (* x 2.0) y)) into (* (+ (* 2.0 x) y) y) 0.849 * [approximate]: Taking taylor expansion of (* (+ (* 2.0 x) y) y) in (y x) around 0 0.849 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 x) y) y) in x 0.849 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) y) in x 0.849 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.849 * [taylor]: Taking taylor expansion of 2.0 in x 0.849 * [backup-simplify]: Simplify 2.0 into 2.0 0.849 * [taylor]: Taking taylor expansion of x in x 0.849 * [backup-simplify]: Simplify 0 into 0 0.849 * [backup-simplify]: Simplify 1 into 1 0.849 * [taylor]: Taking taylor expansion of y in x 0.849 * [backup-simplify]: Simplify y into y 0.849 * [taylor]: Taking taylor expansion of y in x 0.849 * [backup-simplify]: Simplify y into y 0.849 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 x) y) y) in y 0.849 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) y) in y 0.849 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 0.849 * [taylor]: Taking taylor expansion of 2.0 in y 0.849 * [backup-simplify]: Simplify 2.0 into 2.0 0.849 * [taylor]: Taking taylor expansion of x in y 0.849 * [backup-simplify]: Simplify x into x 0.849 * [taylor]: Taking taylor expansion of y in y 0.849 * [backup-simplify]: Simplify 0 into 0 0.849 * [backup-simplify]: Simplify 1 into 1 0.849 * [taylor]: Taking taylor expansion of y in y 0.849 * [backup-simplify]: Simplify 0 into 0 0.849 * [backup-simplify]: Simplify 1 into 1 0.849 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 x) y) y) in y 0.849 * [taylor]: Taking taylor expansion of (+ (* 2.0 x) y) in y 0.849 * [taylor]: Taking taylor expansion of (* 2.0 x) in y 0.849 * [taylor]: Taking taylor expansion of 2.0 in y 0.849 * [backup-simplify]: Simplify 2.0 into 2.0 0.849 * [taylor]: Taking taylor expansion of x in y 0.849 * [backup-simplify]: Simplify x into x 0.849 * [taylor]: Taking taylor expansion of y in y 0.849 * [backup-simplify]: Simplify 0 into 0 0.849 * [backup-simplify]: Simplify 1 into 1 0.849 * [taylor]: Taking taylor expansion of y in y 0.849 * [backup-simplify]: Simplify 0 into 0 0.849 * [backup-simplify]: Simplify 1 into 1 0.850 * [backup-simplify]: Simplify (* 2.0 x) into (* 2.0 x) 0.850 * [backup-simplify]: Simplify (+ (* 2.0 x) 0) into (* 2.0 x) 0.850 * [backup-simplify]: Simplify (* (* 2.0 x) 0) into 0 0.850 * [taylor]: Taking taylor expansion of 0 in x 0.850 * [backup-simplify]: Simplify 0 into 0 0.850 * [backup-simplify]: Simplify 0 into 0 0.850 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 x)) into 0 0.850 * [backup-simplify]: Simplify (+ 0 1) into 1 0.851 * [backup-simplify]: Simplify (+ (* (* 2.0 x) 1) (* 1 0)) into (* 2.0 x) 0.851 * [taylor]: Taking taylor expansion of (* 2.0 x) in x 0.851 * [taylor]: Taking taylor expansion of 2.0 in x 0.851 * [backup-simplify]: Simplify 2.0 into 2.0 0.851 * [taylor]: Taking taylor expansion of x in x 0.851 * [backup-simplify]: Simplify 0 into 0 0.851 * [backup-simplify]: Simplify 1 into 1 0.851 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.851 * [backup-simplify]: Simplify 0 into 0 0.851 * [backup-simplify]: Simplify 0 into 0 0.852 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 x))) into 0 0.852 * [backup-simplify]: Simplify (+ 0 0) into 0 0.852 * [backup-simplify]: Simplify (+ (* (* 2.0 x) 0) (+ (* 1 1) (* 0 0))) into 1 0.852 * [taylor]: Taking taylor expansion of 1 in x 0.852 * [backup-simplify]: Simplify 1 into 1 0.852 * [backup-simplify]: Simplify 1 into 1 0.853 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 0.853 * [backup-simplify]: Simplify 2.0 into 2.0 0.853 * [backup-simplify]: Simplify 0 into 0 0.854 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 0.854 * [backup-simplify]: Simplify (+ 0 0) into 0 0.855 * [backup-simplify]: Simplify (+ (* (* 2.0 x) 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.855 * [taylor]: Taking taylor expansion of 0 in x 0.855 * [backup-simplify]: Simplify 0 into 0 0.855 * [backup-simplify]: Simplify 0 into 0 0.855 * [backup-simplify]: Simplify 0 into 0 0.855 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0 0.855 * [backup-simplify]: Simplify 0 into 0 0.855 * [backup-simplify]: Simplify 0 into 0 0.856 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 0.857 * [backup-simplify]: Simplify (+ 0 0) into 0 0.857 * [backup-simplify]: Simplify (+ (* (* 2.0 x) 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.857 * [taylor]: Taking taylor expansion of 0 in x 0.857 * [backup-simplify]: Simplify 0 into 0 0.857 * [backup-simplify]: Simplify 0 into 0 0.857 * [backup-simplify]: Simplify (+ (* 2.0 (* x y)) (* 1 (pow (* 1 y) 2))) into (+ (pow y 2) (* 2.0 (* x y))) 0.858 * [backup-simplify]: Simplify (* (/ 1 y) (+ (* (/ 1 x) 2.0) (/ 1 y))) into (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) 0.858 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in (y x) around 0 0.858 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in x 0.858 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2.0 (/ 1 x))) in x 0.858 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.858 * [taylor]: Taking taylor expansion of y in x 0.858 * [backup-simplify]: Simplify y into y 0.858 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.858 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.858 * [taylor]: Taking taylor expansion of 2.0 in x 0.858 * [backup-simplify]: Simplify 2.0 into 2.0 0.858 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.858 * [taylor]: Taking taylor expansion of x in x 0.858 * [backup-simplify]: Simplify 0 into 0 0.858 * [backup-simplify]: Simplify 1 into 1 0.858 * [backup-simplify]: Simplify (/ 1 1) into 1 0.858 * [taylor]: Taking taylor expansion of y in x 0.858 * [backup-simplify]: Simplify y into y 0.858 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.859 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0 0.859 * [backup-simplify]: Simplify (/ 2.0 y) into (/ 2.0 y) 0.859 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in y 0.859 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2.0 (/ 1 x))) in y 0.859 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.859 * [taylor]: Taking taylor expansion of y in y 0.859 * [backup-simplify]: Simplify 0 into 0 0.859 * [backup-simplify]: Simplify 1 into 1 0.859 * [backup-simplify]: Simplify (/ 1 1) into 1 0.859 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.859 * [taylor]: Taking taylor expansion of 2.0 in y 0.859 * [backup-simplify]: Simplify 2.0 into 2.0 0.859 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.859 * [taylor]: Taking taylor expansion of x in y 0.859 * [backup-simplify]: Simplify x into x 0.859 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.859 * [taylor]: Taking taylor expansion of y in y 0.859 * [backup-simplify]: Simplify 0 into 0 0.859 * [backup-simplify]: Simplify 1 into 1 0.860 * [backup-simplify]: Simplify (+ 1 0) into 1 0.860 * [backup-simplify]: Simplify (/ 1 1) into 1 0.860 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in y 0.860 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2.0 (/ 1 x))) in y 0.860 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.860 * [taylor]: Taking taylor expansion of y in y 0.860 * [backup-simplify]: Simplify 0 into 0 0.860 * [backup-simplify]: Simplify 1 into 1 0.860 * [backup-simplify]: Simplify (/ 1 1) into 1 0.860 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.860 * [taylor]: Taking taylor expansion of 2.0 in y 0.860 * [backup-simplify]: Simplify 2.0 into 2.0 0.860 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.860 * [taylor]: Taking taylor expansion of x in y 0.860 * [backup-simplify]: Simplify x into x 0.860 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.860 * [taylor]: Taking taylor expansion of y in y 0.860 * [backup-simplify]: Simplify 0 into 0 0.860 * [backup-simplify]: Simplify 1 into 1 0.861 * [backup-simplify]: Simplify (+ 1 0) into 1 0.861 * [backup-simplify]: Simplify (/ 1 1) into 1 0.861 * [taylor]: Taking taylor expansion of 1 in x 0.861 * [backup-simplify]: Simplify 1 into 1 0.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.861 * [backup-simplify]: Simplify (* 2.0 (/ 1 x)) into (/ 2.0 x) 0.861 * [backup-simplify]: Simplify (+ 0 (/ 2.0 x)) into (* 2.0 (/ 1 x)) 0.862 * [backup-simplify]: Simplify (- (/ (* 2.0 (/ 1 x)) 1) (+ (* 1 (/ 0 1)))) into (* 2.0 (/ 1 x)) 0.862 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.862 * [taylor]: Taking taylor expansion of 2.0 in x 0.862 * [backup-simplify]: Simplify 2.0 into 2.0 0.862 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.862 * [taylor]: Taking taylor expansion of x in x 0.862 * [backup-simplify]: Simplify 0 into 0 0.862 * [backup-simplify]: Simplify 1 into 1 0.862 * [backup-simplify]: Simplify (/ 1 1) into 1 0.862 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.862 * [backup-simplify]: Simplify 2.0 into 2.0 0.863 * [backup-simplify]: Simplify 1 into 1 0.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.863 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.863 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 x))) into 0 0.864 * [backup-simplify]: Simplify (+ 0 0) into 0 0.864 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2.0 (/ 1 x)) (/ 0 1)))) into 0 0.864 * [taylor]: Taking taylor expansion of 0 in x 0.865 * [backup-simplify]: Simplify 0 into 0 0.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.865 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 0.865 * [backup-simplify]: Simplify 0 into 0 0.865 * [backup-simplify]: Simplify 0 into 0 0.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.866 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.867 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 0.867 * [backup-simplify]: Simplify (+ 0 0) into 0 0.868 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2.0 (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.868 * [taylor]: Taking taylor expansion of 0 in x 0.868 * [backup-simplify]: Simplify 0 into 0 0.868 * [backup-simplify]: Simplify 0 into 0 0.868 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.869 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 0.869 * [backup-simplify]: Simplify 0 into 0 0.869 * [backup-simplify]: Simplify 0 into 0 0.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.870 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.870 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 0.871 * [backup-simplify]: Simplify (+ 0 0) into 0 0.872 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2.0 (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.872 * [taylor]: Taking taylor expansion of 0 in x 0.872 * [backup-simplify]: Simplify 0 into 0 0.872 * [backup-simplify]: Simplify 0 into 0 0.872 * [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))) 0.872 * [backup-simplify]: Simplify (* (/ 1 (- y)) (+ (* (/ 1 (- x)) 2.0) (/ 1 (- y)))) into (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) 0.873 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in (y x) around 0 0.873 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in x 0.873 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2.0 (/ 1 x))) in x 0.873 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.873 * [taylor]: Taking taylor expansion of y in x 0.873 * [backup-simplify]: Simplify y into y 0.873 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.873 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.873 * [taylor]: Taking taylor expansion of 2.0 in x 0.873 * [backup-simplify]: Simplify 2.0 into 2.0 0.873 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.873 * [taylor]: Taking taylor expansion of x in x 0.873 * [backup-simplify]: Simplify 0 into 0 0.873 * [backup-simplify]: Simplify 1 into 1 0.873 * [backup-simplify]: Simplify (/ 1 1) into 1 0.873 * [taylor]: Taking taylor expansion of y in x 0.873 * [backup-simplify]: Simplify y into y 0.873 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.874 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0 0.874 * [backup-simplify]: Simplify (/ 2.0 y) into (/ 2.0 y) 0.874 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in y 0.874 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2.0 (/ 1 x))) in y 0.874 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.874 * [taylor]: Taking taylor expansion of y in y 0.874 * [backup-simplify]: Simplify 0 into 0 0.874 * [backup-simplify]: Simplify 1 into 1 0.874 * [backup-simplify]: Simplify (/ 1 1) into 1 0.874 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.874 * [taylor]: Taking taylor expansion of 2.0 in y 0.874 * [backup-simplify]: Simplify 2.0 into 2.0 0.874 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.874 * [taylor]: Taking taylor expansion of x in y 0.874 * [backup-simplify]: Simplify x into x 0.874 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.874 * [taylor]: Taking taylor expansion of y in y 0.874 * [backup-simplify]: Simplify 0 into 0 0.874 * [backup-simplify]: Simplify 1 into 1 0.874 * [backup-simplify]: Simplify (+ 1 0) into 1 0.875 * [backup-simplify]: Simplify (/ 1 1) into 1 0.875 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2.0 (/ 1 x))) y) in y 0.875 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2.0 (/ 1 x))) in y 0.875 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.875 * [taylor]: Taking taylor expansion of y in y 0.875 * [backup-simplify]: Simplify 0 into 0 0.875 * [backup-simplify]: Simplify 1 into 1 0.875 * [backup-simplify]: Simplify (/ 1 1) into 1 0.875 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in y 0.875 * [taylor]: Taking taylor expansion of 2.0 in y 0.875 * [backup-simplify]: Simplify 2.0 into 2.0 0.875 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.875 * [taylor]: Taking taylor expansion of x in y 0.875 * [backup-simplify]: Simplify x into x 0.875 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.875 * [taylor]: Taking taylor expansion of y in y 0.875 * [backup-simplify]: Simplify 0 into 0 0.875 * [backup-simplify]: Simplify 1 into 1 0.875 * [backup-simplify]: Simplify (+ 1 0) into 1 0.876 * [backup-simplify]: Simplify (/ 1 1) into 1 0.876 * [taylor]: Taking taylor expansion of 1 in x 0.876 * [backup-simplify]: Simplify 1 into 1 0.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.876 * [backup-simplify]: Simplify (* 2.0 (/ 1 x)) into (/ 2.0 x) 0.876 * [backup-simplify]: Simplify (+ 0 (/ 2.0 x)) into (* 2.0 (/ 1 x)) 0.877 * [backup-simplify]: Simplify (- (/ (* 2.0 (/ 1 x)) 1) (+ (* 1 (/ 0 1)))) into (* 2.0 (/ 1 x)) 0.877 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.877 * [taylor]: Taking taylor expansion of 2.0 in x 0.877 * [backup-simplify]: Simplify 2.0 into 2.0 0.877 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.877 * [taylor]: Taking taylor expansion of x in x 0.877 * [backup-simplify]: Simplify 0 into 0 0.877 * [backup-simplify]: Simplify 1 into 1 0.877 * [backup-simplify]: Simplify (/ 1 1) into 1 0.877 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.877 * [backup-simplify]: Simplify 2.0 into 2.0 0.877 * [backup-simplify]: Simplify 1 into 1 0.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.878 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.878 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 x))) into 0 0.879 * [backup-simplify]: Simplify (+ 0 0) into 0 0.880 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2.0 (/ 1 x)) (/ 0 1)))) into 0 0.880 * [taylor]: Taking taylor expansion of 0 in x 0.880 * [backup-simplify]: Simplify 0 into 0 0.880 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.880 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 0.881 * [backup-simplify]: Simplify 0 into 0 0.881 * [backup-simplify]: Simplify 0 into 0 0.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.881 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.882 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0 0.882 * [backup-simplify]: Simplify (+ 0 0) into 0 0.883 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2.0 (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.883 * [taylor]: Taking taylor expansion of 0 in x 0.883 * [backup-simplify]: Simplify 0 into 0 0.883 * [backup-simplify]: Simplify 0 into 0 0.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.884 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 0.884 * [backup-simplify]: Simplify 0 into 0 0.884 * [backup-simplify]: Simplify 0 into 0 0.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.885 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)) (* 0 (/ 0 x)))) into 0 0.886 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x))))) into 0 0.886 * [backup-simplify]: Simplify (+ 0 0) into 0 0.887 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2.0 (/ 1 x)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.887 * [taylor]: Taking taylor expansion of 0 in x 0.887 * [backup-simplify]: Simplify 0 into 0 0.887 * [backup-simplify]: Simplify 0 into 0 0.888 * [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))) 0.888 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.888 * [backup-simplify]: Simplify (+ (* x x) (* y (+ (* x 2.0) y))) into (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) 0.888 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in (x y) around 0 0.888 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in y 0.888 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.888 * [taylor]: Taking taylor expansion of x in y 0.888 * [backup-simplify]: Simplify x into x 0.888 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in y 0.888 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.888 * [taylor]: Taking taylor expansion of y in y 0.888 * [backup-simplify]: Simplify 0 into 0 0.888 * [backup-simplify]: Simplify 1 into 1 0.888 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.888 * [taylor]: Taking taylor expansion of 2.0 in y 0.888 * [backup-simplify]: Simplify 2.0 into 2.0 0.888 * [taylor]: Taking taylor expansion of (* x y) in y 0.888 * [taylor]: Taking taylor expansion of x in y 0.888 * [backup-simplify]: Simplify x into x 0.888 * [taylor]: Taking taylor expansion of y in y 0.888 * [backup-simplify]: Simplify 0 into 0 0.888 * [backup-simplify]: Simplify 1 into 1 0.888 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.888 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.888 * [taylor]: Taking taylor expansion of x in x 0.888 * [backup-simplify]: Simplify 0 into 0 0.888 * [backup-simplify]: Simplify 1 into 1 0.888 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.888 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.888 * [taylor]: Taking taylor expansion of y in x 0.888 * [backup-simplify]: Simplify y into y 0.888 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.888 * [taylor]: Taking taylor expansion of 2.0 in x 0.888 * [backup-simplify]: Simplify 2.0 into 2.0 0.888 * [taylor]: Taking taylor expansion of (* x y) in x 0.888 * [taylor]: Taking taylor expansion of x in x 0.888 * [backup-simplify]: Simplify 0 into 0 0.888 * [backup-simplify]: Simplify 1 into 1 0.888 * [taylor]: Taking taylor expansion of y in x 0.888 * [backup-simplify]: Simplify y into y 0.888 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.888 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.888 * [taylor]: Taking taylor expansion of x in x 0.888 * [backup-simplify]: Simplify 0 into 0 0.888 * [backup-simplify]: Simplify 1 into 1 0.888 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.888 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.889 * [taylor]: Taking taylor expansion of y in x 0.889 * [backup-simplify]: Simplify y into y 0.889 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.889 * [taylor]: Taking taylor expansion of 2.0 in x 0.889 * [backup-simplify]: Simplify 2.0 into 2.0 0.889 * [taylor]: Taking taylor expansion of (* x y) in x 0.889 * [taylor]: Taking taylor expansion of x in x 0.889 * [backup-simplify]: Simplify 0 into 0 0.889 * [backup-simplify]: Simplify 1 into 1 0.889 * [taylor]: Taking taylor expansion of y in x 0.889 * [backup-simplify]: Simplify y into y 0.889 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.889 * [backup-simplify]: Simplify (* 0 y) into 0 0.889 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.889 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 0.889 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.889 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.889 * [taylor]: Taking taylor expansion of y in y 0.889 * [backup-simplify]: Simplify 0 into 0 0.889 * [backup-simplify]: Simplify 1 into 1 0.889 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.890 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.890 * [backup-simplify]: Simplify (+ (* 2.0 y) (* 0 0)) into (* 2.0 y) 0.890 * [backup-simplify]: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y) 0.890 * [backup-simplify]: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y) 0.890 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.890 * [taylor]: Taking taylor expansion of 2.0 in y 0.890 * [backup-simplify]: Simplify 2.0 into 2.0 0.890 * [taylor]: Taking taylor expansion of y in y 0.890 * [backup-simplify]: Simplify 0 into 0 0.890 * [backup-simplify]: Simplify 1 into 1 0.890 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.890 * [backup-simplify]: Simplify 0 into 0 0.891 * [backup-simplify]: Simplify (* 1 1) into 1 0.891 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.891 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.892 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 y) (* 0 0))) into 0 0.892 * [backup-simplify]: Simplify (+ 0 0) into 0 0.892 * [backup-simplify]: Simplify (+ 1 0) into 1 0.892 * [taylor]: Taking taylor expansion of 1 in y 0.892 * [backup-simplify]: Simplify 1 into 1 0.892 * [backup-simplify]: Simplify 1 into 1 0.893 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 0.893 * [backup-simplify]: Simplify 2.0 into 2.0 0.894 * [backup-simplify]: Simplify (* 1 1) into 1 0.894 * [backup-simplify]: Simplify 1 into 1 0.894 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (+ (* 2.0 (* y x)) (* 1 (pow (* 1 x) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) 0.894 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (+ (* (/ 1 x) 2.0) (/ 1 y)))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) 0.894 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0 0.894 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.894 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.894 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.894 * [taylor]: Taking taylor expansion of x in y 0.894 * [backup-simplify]: Simplify x into x 0.894 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.894 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.894 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.894 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.894 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.894 * [taylor]: Taking taylor expansion of y in y 0.894 * [backup-simplify]: Simplify 0 into 0 0.894 * [backup-simplify]: Simplify 1 into 1 0.895 * [backup-simplify]: Simplify (* 1 1) into 1 0.895 * [backup-simplify]: Simplify (/ 1 1) into 1 0.895 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.895 * [taylor]: Taking taylor expansion of 2.0 in y 0.895 * [backup-simplify]: Simplify 2.0 into 2.0 0.895 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.895 * [taylor]: Taking taylor expansion of (* x y) in y 0.895 * [taylor]: Taking taylor expansion of x in y 0.895 * [backup-simplify]: Simplify x into x 0.895 * [taylor]: Taking taylor expansion of y in y 0.895 * [backup-simplify]: Simplify 0 into 0 0.895 * [backup-simplify]: Simplify 1 into 1 0.895 * [backup-simplify]: Simplify (* x 0) into 0 0.895 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.895 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.895 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.895 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.895 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.895 * [taylor]: Taking taylor expansion of x in x 0.895 * [backup-simplify]: Simplify 0 into 0 0.896 * [backup-simplify]: Simplify 1 into 1 0.896 * [backup-simplify]: Simplify (* 1 1) into 1 0.896 * [backup-simplify]: Simplify (/ 1 1) into 1 0.896 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.896 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.896 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.896 * [taylor]: Taking taylor expansion of y in x 0.896 * [backup-simplify]: Simplify y into y 0.896 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.896 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.896 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.896 * [taylor]: Taking taylor expansion of 2.0 in x 0.896 * [backup-simplify]: Simplify 2.0 into 2.0 0.896 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.896 * [taylor]: Taking taylor expansion of (* x y) in x 0.896 * [taylor]: Taking taylor expansion of x in x 0.896 * [backup-simplify]: Simplify 0 into 0 0.896 * [backup-simplify]: Simplify 1 into 1 0.896 * [taylor]: Taking taylor expansion of y in x 0.896 * [backup-simplify]: Simplify y into y 0.896 * [backup-simplify]: Simplify (* 0 y) into 0 0.897 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.897 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.897 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.897 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.897 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.897 * [taylor]: Taking taylor expansion of x in x 0.897 * [backup-simplify]: Simplify 0 into 0 0.897 * [backup-simplify]: Simplify 1 into 1 0.897 * [backup-simplify]: Simplify (* 1 1) into 1 0.897 * [backup-simplify]: Simplify (/ 1 1) into 1 0.897 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.897 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.897 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.897 * [taylor]: Taking taylor expansion of y in x 0.897 * [backup-simplify]: Simplify y into y 0.897 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.898 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.898 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.898 * [taylor]: Taking taylor expansion of 2.0 in x 0.898 * [backup-simplify]: Simplify 2.0 into 2.0 0.898 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.898 * [taylor]: Taking taylor expansion of (* x y) in x 0.898 * [taylor]: Taking taylor expansion of x in x 0.898 * [backup-simplify]: Simplify 0 into 0 0.898 * [backup-simplify]: Simplify 1 into 1 0.898 * [taylor]: Taking taylor expansion of y in x 0.898 * [backup-simplify]: Simplify y into y 0.898 * [backup-simplify]: Simplify (* 0 y) into 0 0.898 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.898 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.898 * [backup-simplify]: Simplify (+ 1 0) into 1 0.898 * [taylor]: Taking taylor expansion of 1 in y 0.898 * [backup-simplify]: Simplify 1 into 1 0.899 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.899 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y) 0.899 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) 0.899 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 y))) into (* 2.0 (/ 1 y)) 0.899 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.899 * [taylor]: Taking taylor expansion of 2.0 in y 0.899 * [backup-simplify]: Simplify 2.0 into 2.0 0.899 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.899 * [taylor]: Taking taylor expansion of y in y 0.899 * [backup-simplify]: Simplify 0 into 0 0.899 * [backup-simplify]: Simplify 1 into 1 0.900 * [backup-simplify]: Simplify (/ 1 1) into 1 0.900 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.901 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.901 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.902 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 y))) into 0 0.902 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 0.902 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.902 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.902 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.902 * [taylor]: Taking taylor expansion of y in y 0.902 * [backup-simplify]: Simplify 0 into 0 0.902 * [backup-simplify]: Simplify 1 into 1 0.902 * [backup-simplify]: Simplify (* 1 1) into 1 0.902 * [backup-simplify]: Simplify (/ 1 1) into 1 0.902 * [backup-simplify]: Simplify 1 into 1 0.903 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.903 * [backup-simplify]: Simplify 2.0 into 2.0 0.903 * [backup-simplify]: Simplify 1 into 1 0.903 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (+ (* 2.0 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) 0.903 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (+ (* (/ 1 (- x)) 2.0) (/ 1 (- y))))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) 0.903 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0 0.903 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.903 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.903 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.903 * [taylor]: Taking taylor expansion of x in y 0.903 * [backup-simplify]: Simplify x into x 0.904 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.904 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.904 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.904 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.904 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.904 * [taylor]: Taking taylor expansion of y in y 0.904 * [backup-simplify]: Simplify 0 into 0 0.904 * [backup-simplify]: Simplify 1 into 1 0.904 * [backup-simplify]: Simplify (* 1 1) into 1 0.904 * [backup-simplify]: Simplify (/ 1 1) into 1 0.904 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.904 * [taylor]: Taking taylor expansion of 2.0 in y 0.904 * [backup-simplify]: Simplify 2.0 into 2.0 0.904 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.904 * [taylor]: Taking taylor expansion of (* x y) in y 0.904 * [taylor]: Taking taylor expansion of x in y 0.904 * [backup-simplify]: Simplify x into x 0.904 * [taylor]: Taking taylor expansion of y in y 0.904 * [backup-simplify]: Simplify 0 into 0 0.904 * [backup-simplify]: Simplify 1 into 1 0.904 * [backup-simplify]: Simplify (* x 0) into 0 0.905 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.905 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.905 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.905 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.905 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.905 * [taylor]: Taking taylor expansion of x in x 0.905 * [backup-simplify]: Simplify 0 into 0 0.905 * [backup-simplify]: Simplify 1 into 1 0.905 * [backup-simplify]: Simplify (* 1 1) into 1 0.905 * [backup-simplify]: Simplify (/ 1 1) into 1 0.905 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.905 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.905 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.905 * [taylor]: Taking taylor expansion of y in x 0.905 * [backup-simplify]: Simplify y into y 0.905 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.905 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.906 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.906 * [taylor]: Taking taylor expansion of 2.0 in x 0.906 * [backup-simplify]: Simplify 2.0 into 2.0 0.906 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.906 * [taylor]: Taking taylor expansion of (* x y) in x 0.906 * [taylor]: Taking taylor expansion of x in x 0.906 * [backup-simplify]: Simplify 0 into 0 0.906 * [backup-simplify]: Simplify 1 into 1 0.906 * [taylor]: Taking taylor expansion of y in x 0.906 * [backup-simplify]: Simplify y into y 0.906 * [backup-simplify]: Simplify (* 0 y) into 0 0.906 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.906 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.906 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.906 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.906 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.906 * [taylor]: Taking taylor expansion of x in x 0.906 * [backup-simplify]: Simplify 0 into 0 0.906 * [backup-simplify]: Simplify 1 into 1 0.906 * [backup-simplify]: Simplify (* 1 1) into 1 0.907 * [backup-simplify]: Simplify (/ 1 1) into 1 0.907 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.907 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.907 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.907 * [taylor]: Taking taylor expansion of y in x 0.907 * [backup-simplify]: Simplify y into y 0.907 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.907 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.907 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.907 * [taylor]: Taking taylor expansion of 2.0 in x 0.907 * [backup-simplify]: Simplify 2.0 into 2.0 0.907 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.907 * [taylor]: Taking taylor expansion of (* x y) in x 0.907 * [taylor]: Taking taylor expansion of x in x 0.907 * [backup-simplify]: Simplify 0 into 0 0.907 * [backup-simplify]: Simplify 1 into 1 0.907 * [taylor]: Taking taylor expansion of y in x 0.907 * [backup-simplify]: Simplify y into y 0.907 * [backup-simplify]: Simplify (* 0 y) into 0 0.907 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.907 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.908 * [backup-simplify]: Simplify (+ 1 0) into 1 0.908 * [taylor]: Taking taylor expansion of 1 in y 0.908 * [backup-simplify]: Simplify 1 into 1 0.908 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.908 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.908 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y) 0.909 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) 0.909 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 y))) into (* 2.0 (/ 1 y)) 0.909 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.909 * [taylor]: Taking taylor expansion of 2.0 in y 0.909 * [backup-simplify]: Simplify 2.0 into 2.0 0.909 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.909 * [taylor]: Taking taylor expansion of y in y 0.909 * [backup-simplify]: Simplify 0 into 0 0.909 * [backup-simplify]: Simplify 1 into 1 0.909 * [backup-simplify]: Simplify (/ 1 1) into 1 0.909 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.910 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.911 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.911 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 y))) into 0 0.911 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 0.911 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.911 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.911 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.911 * [taylor]: Taking taylor expansion of y in y 0.911 * [backup-simplify]: Simplify 0 into 0 0.911 * [backup-simplify]: Simplify 1 into 1 0.911 * [backup-simplify]: Simplify (* 1 1) into 1 0.912 * [backup-simplify]: Simplify (/ 1 1) into 1 0.912 * [backup-simplify]: Simplify 1 into 1 0.912 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.912 * [backup-simplify]: Simplify 2.0 into 2.0 0.912 * [backup-simplify]: Simplify 1 into 1 0.912 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (+ (* 2.0 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) 0.912 * * * [progress]: simplifying candidates 0.913 * [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 (* x x)) (exp (* y (+ (* x 2.0) y)))) (log (+ (* x x) (* y (+ (* x 2.0) y)))) (exp (+ (* x x) (* y (+ (* x 2.0) y)))) (* (cbrt (+ (* x x) (* y (+ (* x 2.0) y)))) (cbrt (+ (* x x) (* y (+ (* x 2.0) y))))) (cbrt (+ (* x x) (* 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)))) (sqrt (+ (* x x) (* y (+ (* x 2.0) y)))) (sqrt (+ (* x x) (* y (+ (* x 2.0) y)))) (+ (pow (* x x) 3) (pow (* y (+ (* x 2.0) y)) 3)) (+ (* (* x x) (* x x)) (- (* (* y (+ (* x 2.0) y)) (* y (+ (* x 2.0) y))) (* (* x x) (* y (+ (* x 2.0) y))))) (- (* (* x x) (* x x)) (* (* y (+ (* x 2.0) y)) (* y (+ (* x 2.0) y)))) (- (* x x) (* y (+ (* x 2.0) y))) (+ (* x x) (* y (* x 2.0))) (+ (* x x) (* (* x 2.0) y)) (+ (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)))) 1.419 * * * [progress]: adding candidates to table 1.515 * [progress]: [Phase 3 of 3] Extracting. 1.515 * * [regime]: Finding splitpoints for: (# #) 1.516 * * * [regime-changes]: Trying 3 branch expressions: ((+ (+ (* x x) (* (* x 2.0) y)) (* y y)) y x) 1.516 * * * * [regimes]: Trying to branch on (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) from (# #) 1.533 * * * * [regimes]: Trying to branch on y from (# #) 1.544 * * * * [regimes]: Trying to branch on x from (# #) 1.557 * * * [regime]: Found split indices: #