43.464 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.016 * * * [progress]: [2/2] Setting up program. 0.018 * [progress]: [Phase 2 of 3] Improving. 0.018 * [simplify]: Simplifying using # : (* (+ x y) (+ x y)) 0.020 * * [simplify]: iteration 0 : 11 enodes (cost 3 ) 0.021 * * [simplify]: iteration 1 : 25 enodes (cost 3 ) 0.023 * * [simplify]: iteration 2 : 53 enodes (cost 3 ) 0.024 * * [simplify]: iteration 3 : 80 enodes (cost 3 ) 0.026 * * [simplify]: iteration 4 : 98 enodes (cost 3 ) 0.028 * * [simplify]: iteration 5 : 107 enodes (cost 3 ) 0.030 * * [simplify]: iteration 6 : 113 enodes (cost 3 ) 0.032 * * [simplify]: iteration 7 : 113 enodes (cost 3 ) 0.032 * [simplify]: Simplified to: (* (+ x y) (+ x y)) 0.032 * * [progress]: iteration 1 / 4 0.032 * * * [progress]: picking best candidate 0.034 * * * * [pick]: Picked # 0.034 * * * [progress]: localizing error 0.037 * * * [progress]: generating rewritten candidates 0.037 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.042 * * * [progress]: generating series expansions 0.042 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.042 * [approximate]: Taking taylor expansion of (pow (+ x y) 2) in (x y) around 0 0.042 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in y 0.042 * [taylor]: Taking taylor expansion of (+ x y) in y 0.042 * [taylor]: Taking taylor expansion of x in y 0.042 * [taylor]: Taking taylor expansion of y in y 0.042 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.042 * [taylor]: Taking taylor expansion of (+ x y) in x 0.042 * [taylor]: Taking taylor expansion of x in x 0.042 * [taylor]: Taking taylor expansion of y in x 0.042 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x 0.042 * [taylor]: Taking taylor expansion of (+ x y) in x 0.042 * [taylor]: Taking taylor expansion of x in x 0.042 * [taylor]: Taking taylor expansion of y in x 0.042 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.042 * [taylor]: Taking taylor expansion of y in y 0.043 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.043 * [taylor]: Taking taylor expansion of 2 in y 0.043 * [taylor]: Taking taylor expansion of y in y 0.043 * [taylor]: Taking taylor expansion of 1 in y 0.045 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.045 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.045 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.045 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.045 * [taylor]: Taking taylor expansion of y in y 0.045 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.045 * [taylor]: Taking taylor expansion of x in y 0.045 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.045 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.045 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.045 * [taylor]: Taking taylor expansion of y in x 0.045 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.045 * [taylor]: Taking taylor expansion of x in x 0.046 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.046 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.046 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.046 * [taylor]: Taking taylor expansion of y in x 0.046 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.046 * [taylor]: Taking taylor expansion of x in x 0.047 * [taylor]: Taking taylor expansion of 1 in y 0.047 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.047 * [taylor]: Taking taylor expansion of 2 in y 0.047 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.047 * [taylor]: Taking taylor expansion of y in y 0.049 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.049 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.049 * [taylor]: Taking taylor expansion of y in y 0.050 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in (x y) around 0 0.050 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y 0.050 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.050 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.050 * [taylor]: Taking taylor expansion of y in y 0.051 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.051 * [taylor]: Taking taylor expansion of x in y 0.051 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.051 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.051 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.051 * [taylor]: Taking taylor expansion of y in x 0.051 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.051 * [taylor]: Taking taylor expansion of x in x 0.052 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x 0.052 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.052 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.052 * [taylor]: Taking taylor expansion of y in x 0.052 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.052 * [taylor]: Taking taylor expansion of x in x 0.052 * [taylor]: Taking taylor expansion of 1 in y 0.053 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.053 * [taylor]: Taking taylor expansion of 2 in y 0.053 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.053 * [taylor]: Taking taylor expansion of y in y 0.055 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.055 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.055 * [taylor]: Taking taylor expansion of y in y 0.056 * * * [progress]: simplifying candidates 0.056 * [simplify]: Simplifying using # : (* (+ (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3))) (* (+ (* x x) (- (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y)))) (* (+ (pow x 3) (pow y 3)) (- (* x x) (* y y))) (* (+ (* x x) (- (* y y) (* x y))) (- x y)) (* (- (* x x) (* y y)) (+ (pow x 3) (pow y 3))) (* (- x y) (+ (* x x) (- (* y y) (* x y)))) (* (- (* x x) (* y y)) (- (* x x) (* y y))) (* (- x y) (- x y)) (* (+ x y) x) (* (+ x y) y) (* (+ x y) y) (* (+ x y) x) (* x (+ x y)) (* y (+ x y)) (* y (+ x y)) (* x (+ x y)) (* (+ x y) (+ (pow x 3) (pow y 3))) (* (+ x y) (- (* x x) (* y y))) (* (+ (pow x 3) (pow y 3)) (+ x y)) (* (- (* x x) (* y y)) (+ x y)) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 0.059 * * [simplify]: iteration 0 : 116 enodes (cost 110 ) 0.062 * * [simplify]: iteration 1 : 436 enodes (cost 106 ) 0.072 * * [simplify]: iteration 2 : 2072 enodes (cost 103 ) 0.119 * * [simplify]: iteration 3 : 5001 enodes (cost 103 ) 0.120 * [simplify]: Simplified to: (* (+ (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3))) (* (+ (* y (- y x)) (pow x 2)) (+ (pow x 2) (* y (- y x)))) (* (- (* x x) (* y y)) (+ (pow x 3) (pow y 3))) (* (- x y) (+ (pow x 2) (* y (- y x)))) (* (- (* x x) (* y y)) (+ (pow x 3) (pow y 3))) (* (- x y) (+ (pow x 2) (* y (- y x)))) (* (- (* x x) (* y y)) (- (* x x) (* y y))) (* (- x y) (- x y)) (* x (+ x y)) (* y (+ x y)) (* y (+ x y)) (* x (+ x y)) (* x (+ x y)) (* y (+ x y)) (* y (+ x y)) (* x (+ x y)) (* (+ x y) (+ (pow x 3) (pow y 3))) (* (- (* x x) (* y y)) (+ x y)) (* (+ x y) (+ (pow x 3) (pow y 3))) (* (- (* x x) (* y y)) (+ x y)) (+ (* x (+ (* y 2) x)) (pow y 2)) (+ (* x (+ (* y 2) x)) (pow y 2)) (+ (* x (+ (* y 2) x)) (pow y 2)) 0.120 * * * [progress]: adding candidates to table 0.144 * * [progress]: iteration 2 / 4 0.144 * * * [progress]: picking best candidate 0.147 * * * * [pick]: Picked # 0.147 * * * [progress]: localizing error 0.154 * * * [progress]: generating rewritten candidates 0.154 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.158 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.165 * * * [progress]: generating series expansions 0.165 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.165 * [approximate]: Taking taylor expansion of (* x (+ x (* 2 y))) in (x y) around 0 0.165 * [taylor]: Taking taylor expansion of (* x (+ x (* 2 y))) in y 0.165 * [taylor]: Taking taylor expansion of x in y 0.165 * [taylor]: Taking taylor expansion of (+ x (* 2 y)) in y 0.165 * [taylor]: Taking taylor expansion of x in y 0.165 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.165 * [taylor]: Taking taylor expansion of 2 in y 0.165 * [taylor]: Taking taylor expansion of y in y 0.165 * [taylor]: Taking taylor expansion of (* x (+ x (* 2 y))) in x 0.165 * [taylor]: Taking taylor expansion of x in x 0.165 * [taylor]: Taking taylor expansion of (+ x (* 2 y)) in x 0.165 * [taylor]: Taking taylor expansion of x in x 0.166 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.166 * [taylor]: Taking taylor expansion of 2 in x 0.166 * [taylor]: Taking taylor expansion of y in x 0.166 * [taylor]: Taking taylor expansion of (* x (+ x (* 2 y))) in x 0.166 * [taylor]: Taking taylor expansion of x in x 0.166 * [taylor]: Taking taylor expansion of (+ x (* 2 y)) in x 0.166 * [taylor]: Taking taylor expansion of x in x 0.166 * [taylor]: Taking taylor expansion of (* 2 y) in x 0.166 * [taylor]: Taking taylor expansion of 2 in x 0.166 * [taylor]: Taking taylor expansion of y in x 0.166 * [taylor]: Taking taylor expansion of 0 in y 0.167 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.167 * [taylor]: Taking taylor expansion of 2 in y 0.167 * [taylor]: Taking taylor expansion of y in y 0.168 * [taylor]: Taking taylor expansion of 1 in y 0.170 * [taylor]: Taking taylor expansion of 0 in y 0.173 * [taylor]: Taking taylor expansion of 0 in y 0.173 * [approximate]: Taking taylor expansion of (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) in (x y) around 0 0.173 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) in y 0.173 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in y 0.173 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.173 * [taylor]: Taking taylor expansion of 2 in y 0.173 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.173 * [taylor]: Taking taylor expansion of y in y 0.174 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.174 * [taylor]: Taking taylor expansion of x in y 0.174 * [taylor]: Taking taylor expansion of x in y 0.174 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) in x 0.174 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in x 0.174 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.174 * [taylor]: Taking taylor expansion of 2 in x 0.174 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.174 * [taylor]: Taking taylor expansion of y in x 0.174 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.174 * [taylor]: Taking taylor expansion of x in x 0.175 * [taylor]: Taking taylor expansion of x in x 0.175 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) in x 0.175 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in x 0.175 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.175 * [taylor]: Taking taylor expansion of 2 in x 0.175 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.175 * [taylor]: Taking taylor expansion of y in x 0.175 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.175 * [taylor]: Taking taylor expansion of x in x 0.176 * [taylor]: Taking taylor expansion of x in x 0.176 * [taylor]: Taking taylor expansion of 1 in y 0.177 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.177 * [taylor]: Taking taylor expansion of 2 in y 0.177 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.177 * [taylor]: Taking taylor expansion of y in y 0.179 * [taylor]: Taking taylor expansion of 0 in y 0.183 * [taylor]: Taking taylor expansion of 0 in y 0.186 * [taylor]: Taking taylor expansion of 0 in y 0.187 * [approximate]: Taking taylor expansion of (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) in (x y) around 0 0.187 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) in y 0.187 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in y 0.187 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.187 * [taylor]: Taking taylor expansion of 2 in y 0.187 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.187 * [taylor]: Taking taylor expansion of y in y 0.187 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.187 * [taylor]: Taking taylor expansion of x in y 0.187 * [taylor]: Taking taylor expansion of x in y 0.188 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) in x 0.188 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in x 0.188 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.188 * [taylor]: Taking taylor expansion of 2 in x 0.188 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.188 * [taylor]: Taking taylor expansion of y in x 0.188 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.188 * [taylor]: Taking taylor expansion of x in x 0.188 * [taylor]: Taking taylor expansion of x in x 0.189 * [taylor]: Taking taylor expansion of (/ (+ (* 2 (/ 1 y)) (/ 1 x)) x) in x 0.189 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 y)) (/ 1 x)) in x 0.189 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in x 0.189 * [taylor]: Taking taylor expansion of 2 in x 0.189 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.189 * [taylor]: Taking taylor expansion of y in x 0.189 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.189 * [taylor]: Taking taylor expansion of x in x 0.189 * [taylor]: Taking taylor expansion of x in x 0.190 * [taylor]: Taking taylor expansion of 1 in y 0.191 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.191 * [taylor]: Taking taylor expansion of 2 in y 0.191 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.191 * [taylor]: Taking taylor expansion of y in y 0.193 * [taylor]: Taking taylor expansion of 0 in y 0.196 * [taylor]: Taking taylor expansion of 0 in y 0.200 * [taylor]: Taking taylor expansion of 0 in y 0.201 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.201 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in (x y) around 0 0.201 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in y 0.201 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.201 * [taylor]: Taking taylor expansion of x in y 0.201 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 0.201 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.201 * [taylor]: Taking taylor expansion of y in y 0.201 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 0.201 * [taylor]: Taking taylor expansion of 2 in y 0.201 * [taylor]: Taking taylor expansion of (* x y) in y 0.201 * [taylor]: Taking taylor expansion of x in y 0.201 * [taylor]: Taking taylor expansion of y in y 0.201 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 0.201 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.201 * [taylor]: Taking taylor expansion of x in x 0.201 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 0.201 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.201 * [taylor]: Taking taylor expansion of y in x 0.201 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 0.201 * [taylor]: Taking taylor expansion of 2 in x 0.201 * [taylor]: Taking taylor expansion of (* x y) in x 0.201 * [taylor]: Taking taylor expansion of x in x 0.201 * [taylor]: Taking taylor expansion of y in x 0.201 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 0.201 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.201 * [taylor]: Taking taylor expansion of x in x 0.201 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 0.201 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.201 * [taylor]: Taking taylor expansion of y in x 0.201 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 0.201 * [taylor]: Taking taylor expansion of 2 in x 0.201 * [taylor]: Taking taylor expansion of (* x y) in x 0.201 * [taylor]: Taking taylor expansion of x in x 0.201 * [taylor]: Taking taylor expansion of y in x 0.202 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.202 * [taylor]: Taking taylor expansion of y in y 0.203 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.203 * [taylor]: Taking taylor expansion of 2 in y 0.203 * [taylor]: Taking taylor expansion of y in y 0.205 * [taylor]: Taking taylor expansion of 1 in y 0.206 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 0.206 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 0.206 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.206 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.206 * [taylor]: Taking taylor expansion of x in y 0.206 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 0.206 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.206 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.206 * [taylor]: Taking taylor expansion of y in y 0.207 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 0.207 * [taylor]: Taking taylor expansion of 2 in y 0.207 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.207 * [taylor]: Taking taylor expansion of (* x y) in y 0.207 * [taylor]: Taking taylor expansion of x in y 0.207 * [taylor]: Taking taylor expansion of y in y 0.207 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.207 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.207 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.207 * [taylor]: Taking taylor expansion of x in x 0.208 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.208 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.208 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.208 * [taylor]: Taking taylor expansion of y in x 0.208 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.208 * [taylor]: Taking taylor expansion of 2 in x 0.208 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.208 * [taylor]: Taking taylor expansion of (* x y) in x 0.208 * [taylor]: Taking taylor expansion of x in x 0.208 * [taylor]: Taking taylor expansion of y in x 0.208 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.208 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.208 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.208 * [taylor]: Taking taylor expansion of x in x 0.209 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.209 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.209 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.209 * [taylor]: Taking taylor expansion of y in x 0.209 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.209 * [taylor]: Taking taylor expansion of 2 in x 0.209 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.209 * [taylor]: Taking taylor expansion of (* x y) in x 0.209 * [taylor]: Taking taylor expansion of x in x 0.209 * [taylor]: Taking taylor expansion of y in x 0.209 * [taylor]: Taking taylor expansion of 1 in y 0.210 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.210 * [taylor]: Taking taylor expansion of 2 in y 0.210 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.210 * [taylor]: Taking taylor expansion of y in y 0.213 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.213 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.213 * [taylor]: Taking taylor expansion of y in y 0.214 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 0.214 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 0.214 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.214 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.214 * [taylor]: Taking taylor expansion of x in y 0.214 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 0.214 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.214 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.214 * [taylor]: Taking taylor expansion of y in y 0.215 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 0.215 * [taylor]: Taking taylor expansion of 2 in y 0.215 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.215 * [taylor]: Taking taylor expansion of (* x y) in y 0.215 * [taylor]: Taking taylor expansion of x in y 0.215 * [taylor]: Taking taylor expansion of y in y 0.215 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.215 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.215 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.215 * [taylor]: Taking taylor expansion of x in x 0.216 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.216 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.216 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.216 * [taylor]: Taking taylor expansion of y in x 0.216 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.216 * [taylor]: Taking taylor expansion of 2 in x 0.216 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.216 * [taylor]: Taking taylor expansion of (* x y) in x 0.216 * [taylor]: Taking taylor expansion of x in x 0.216 * [taylor]: Taking taylor expansion of y in x 0.216 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.216 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.216 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.216 * [taylor]: Taking taylor expansion of x in x 0.217 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.217 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) 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 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.217 * [taylor]: Taking taylor expansion of 2 in x 0.217 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.217 * [taylor]: Taking taylor expansion of (* x y) in x 0.217 * [taylor]: Taking taylor expansion of x in x 0.217 * [taylor]: Taking taylor expansion of y in x 0.218 * [taylor]: Taking taylor expansion of 1 in y 0.218 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.218 * [taylor]: Taking taylor expansion of 2 in y 0.218 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.218 * [taylor]: Taking taylor expansion of y in y 0.221 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.221 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.221 * [taylor]: Taking taylor expansion of y in y 0.222 * * * [progress]: simplifying candidates 0.222 * [simplify]: Simplifying using # : (* x (* y 2)) (* x x) (* x x) (* x (* y 2)) (* (* y 2) x) (* x x) (* x x) (* (* y 2) x) (* x (+ (pow (* y 2) 3) (pow x 3))) (* x (- (* (* y 2) (* y 2)) (* x x))) (+ (pow (* x (+ (* y 2) x)) 3) (pow (pow y 2) 3)) (+ (* (* x (+ (* y 2) x)) (* x (+ (* y 2) x))) (- (* (pow y 2) (pow y 2)) (* (* x (+ (* y 2) x)) (pow y 2)))) (- (* (* x (+ (* y 2) x)) (* x (+ (* y 2) x))) (* (pow y 2) (pow y 2))) (- (* x (+ (* y 2) x)) (pow y 2)) (+ (* x x) (pow y 2)) (+ (* x (* y 2)) (pow y 2)) (+ (* x x) (pow y 2)) (+ (* (* y 2) x) (pow y 2)) (+ (pow x 2) (* 2 (* x y))) (+ (pow x 2) (* 2 (* x y))) (+ (pow x 2) (* 2 (* x y))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 0.228 * * [simplify]: iteration 0 : 117 enodes (cost 101 ) 0.231 * * [simplify]: iteration 1 : 391 enodes (cost 96 ) 0.241 * * [simplify]: iteration 2 : 2072 enodes (cost 91 ) 0.292 * * [simplify]: iteration 3 : 5001 enodes (cost 91 ) 0.293 * [simplify]: Simplified to: (* x (* y 2)) (pow x 2) (pow x 2) (* x (* y 2)) (* x (* y 2)) (pow x 2) (pow x 2) (* x (* y 2)) (* x (+ (pow (* y 2) 3) (pow x 3))) (* x (- (* (pow y 2) 4) (pow x 2))) (+ (pow (* x (+ (* y 2) x)) 3) (pow (pow y 2) 3)) (+ (* (* x (+ (* y 2) x)) (- (* x (+ (* y 2) x)) (pow y 2))) (pow y 4)) (+ (* (* x (+ (* y 2) x)) (* x (+ (* y 2) x))) (- (pow y 4))) (- (* x (+ (* y 2) x)) (pow y 2)) (+ (* x x) (pow y 2)) (* y (+ y (* 2 x))) (+ (* x x) (pow y 2)) (* y (+ y (* 2 x))) (* x (+ (* y 2) x)) (* x (+ (* y 2) x)) (* x (+ (* y 2) x)) (+ (* x (+ (* y 2) x)) (pow y 2)) (+ (* x (+ (* y 2) x)) (pow y 2)) (+ (* x (+ (* y 2) x)) (pow y 2)) 0.293 * * * [progress]: adding candidates to table 0.320 * * [progress]: iteration 3 / 4 0.320 * * * [progress]: picking best candidate 0.321 * * * * [pick]: Picked # 0.321 * * * [progress]: localizing error 0.328 * * * [progress]: generating rewritten candidates 0.328 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.331 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.337 * * * [progress]: generating series expansions 0.337 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.337 * [approximate]: Taking taylor expansion of (* (+ (* 2 x) y) y) in (y x) around 0 0.337 * [taylor]: Taking taylor expansion of (* (+ (* 2 x) y) y) in x 0.337 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in x 0.337 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.337 * [taylor]: Taking taylor expansion of 2 in x 0.337 * [taylor]: Taking taylor expansion of x in x 0.337 * [taylor]: Taking taylor expansion of y in x 0.337 * [taylor]: Taking taylor expansion of y in x 0.337 * [taylor]: Taking taylor expansion of (* (+ (* 2 x) y) y) in y 0.337 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 0.337 * [taylor]: Taking taylor expansion of (* 2 x) in y 0.337 * [taylor]: Taking taylor expansion of 2 in y 0.337 * [taylor]: Taking taylor expansion of x in y 0.337 * [taylor]: Taking taylor expansion of y in y 0.337 * [taylor]: Taking taylor expansion of y in y 0.337 * [taylor]: Taking taylor expansion of (* (+ (* 2 x) y) y) in y 0.337 * [taylor]: Taking taylor expansion of (+ (* 2 x) y) in y 0.337 * [taylor]: Taking taylor expansion of (* 2 x) in y 0.337 * [taylor]: Taking taylor expansion of 2 in y 0.337 * [taylor]: Taking taylor expansion of x in y 0.337 * [taylor]: Taking taylor expansion of y in y 0.337 * [taylor]: Taking taylor expansion of y in y 0.337 * [taylor]: Taking taylor expansion of 0 in x 0.338 * [taylor]: Taking taylor expansion of (* 2 x) in x 0.338 * [taylor]: Taking taylor expansion of 2 in x 0.339 * [taylor]: Taking taylor expansion of x in x 0.340 * [taylor]: Taking taylor expansion of 1 in x 0.342 * [taylor]: Taking taylor expansion of 0 in x 0.344 * [taylor]: Taking taylor expansion of 0 in x 0.344 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in (y x) around 0 0.344 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in x 0.344 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.344 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.344 * [taylor]: Taking taylor expansion of y in x 0.345 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.345 * [taylor]: Taking taylor expansion of 2 in x 0.345 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.345 * [taylor]: Taking taylor expansion of x in x 0.345 * [taylor]: Taking taylor expansion of y in x 0.345 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in y 0.345 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 0.345 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.345 * [taylor]: Taking taylor expansion of y in y 0.346 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 0.346 * [taylor]: Taking taylor expansion of 2 in y 0.346 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.346 * [taylor]: Taking taylor expansion of x in y 0.346 * [taylor]: Taking taylor expansion of y in y 0.346 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in y 0.346 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 0.346 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.346 * [taylor]: Taking taylor expansion of y in y 0.347 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 0.347 * [taylor]: Taking taylor expansion of 2 in y 0.347 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.347 * [taylor]: Taking taylor expansion of x in y 0.347 * [taylor]: Taking taylor expansion of y in y 0.347 * [taylor]: Taking taylor expansion of 1 in x 0.348 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.348 * [taylor]: Taking taylor expansion of 2 in x 0.348 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.348 * [taylor]: Taking taylor expansion of x in x 0.353 * [taylor]: Taking taylor expansion of 0 in x 0.356 * [taylor]: Taking taylor expansion of 0 in x 0.360 * [taylor]: Taking taylor expansion of 0 in x 0.360 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in (y x) around 0 0.360 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in x 0.360 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in x 0.360 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.360 * [taylor]: Taking taylor expansion of y in x 0.360 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.360 * [taylor]: Taking taylor expansion of 2 in x 0.360 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.360 * [taylor]: Taking taylor expansion of x in x 0.361 * [taylor]: Taking taylor expansion of y in x 0.361 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in y 0.361 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 0.361 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.361 * [taylor]: Taking taylor expansion of y in y 0.361 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 0.361 * [taylor]: Taking taylor expansion of 2 in y 0.361 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.362 * [taylor]: Taking taylor expansion of x in y 0.362 * [taylor]: Taking taylor expansion of y in y 0.362 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 y) (* 2 (/ 1 x))) y) in y 0.362 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (* 2 (/ 1 x))) in y 0.362 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.362 * [taylor]: Taking taylor expansion of y in y 0.362 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in y 0.362 * [taylor]: Taking taylor expansion of 2 in y 0.362 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.362 * [taylor]: Taking taylor expansion of x in y 0.362 * [taylor]: Taking taylor expansion of y in y 0.363 * [taylor]: Taking taylor expansion of 1 in x 0.364 * [taylor]: Taking taylor expansion of (* 2 (/ 1 x)) in x 0.364 * [taylor]: Taking taylor expansion of 2 in x 0.364 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.364 * [taylor]: Taking taylor expansion of x in x 0.366 * [taylor]: Taking taylor expansion of 0 in x 0.369 * [taylor]: Taking taylor expansion of 0 in x 0.373 * [taylor]: Taking taylor expansion of 0 in x 0.374 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.374 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in (x y) around 0 0.374 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in y 0.374 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.374 * [taylor]: Taking taylor expansion of x in y 0.374 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in y 0.374 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.374 * [taylor]: Taking taylor expansion of y in y 0.374 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in y 0.374 * [taylor]: Taking taylor expansion of 2 in y 0.374 * [taylor]: Taking taylor expansion of (* x y) in y 0.374 * [taylor]: Taking taylor expansion of x in y 0.374 * [taylor]: Taking taylor expansion of y in y 0.374 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 0.374 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.374 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 0.374 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.374 * [taylor]: Taking taylor expansion of y in x 0.374 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 0.374 * [taylor]: Taking taylor expansion of 2 in x 0.374 * [taylor]: Taking taylor expansion of (* x y) in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.374 * [taylor]: Taking taylor expansion of y in x 0.374 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) in x 0.374 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.374 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2 (* x y))) in x 0.374 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.374 * [taylor]: Taking taylor expansion of y in x 0.374 * [taylor]: Taking taylor expansion of (* 2 (* x y)) in x 0.374 * [taylor]: Taking taylor expansion of 2 in x 0.374 * [taylor]: Taking taylor expansion of (* x y) in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.374 * [taylor]: Taking taylor expansion of y in x 0.375 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.375 * [taylor]: Taking taylor expansion of y in y 0.376 * [taylor]: Taking taylor expansion of (* 2 y) in y 0.376 * [taylor]: Taking taylor expansion of 2 in y 0.376 * [taylor]: Taking taylor expansion of y in y 0.378 * [taylor]: Taking taylor expansion of 1 in y 0.379 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 0.379 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 0.379 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.379 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.379 * [taylor]: Taking taylor expansion of x in y 0.379 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 0.379 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.379 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.379 * [taylor]: Taking taylor expansion of y in y 0.380 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 0.380 * [taylor]: Taking taylor expansion of 2 in y 0.380 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.380 * [taylor]: Taking taylor expansion of (* x y) in y 0.380 * [taylor]: Taking taylor expansion of x in y 0.380 * [taylor]: Taking taylor expansion of y in y 0.380 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.380 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.380 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.380 * [taylor]: Taking taylor expansion of x in x 0.381 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.381 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.381 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.381 * [taylor]: Taking taylor expansion of y in x 0.381 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.381 * [taylor]: Taking taylor expansion of 2 in x 0.381 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.381 * [taylor]: Taking taylor expansion of (* x y) in x 0.381 * [taylor]: Taking taylor expansion of x in x 0.381 * [taylor]: Taking taylor expansion of y in x 0.381 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.381 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.381 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.381 * [taylor]: Taking taylor expansion of x in x 0.382 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.382 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.382 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.382 * [taylor]: Taking taylor expansion of y in x 0.382 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.382 * [taylor]: Taking taylor expansion of 2 in x 0.382 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.382 * [taylor]: Taking taylor expansion of (* x y) in x 0.382 * [taylor]: Taking taylor expansion of x in x 0.382 * [taylor]: Taking taylor expansion of y in x 0.382 * [taylor]: Taking taylor expansion of 1 in y 0.383 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.383 * [taylor]: Taking taylor expansion of 2 in y 0.383 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.383 * [taylor]: Taking taylor expansion of y in y 0.386 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.386 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.386 * [taylor]: Taking taylor expansion of y in y 0.387 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in (x y) around 0 0.387 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in y 0.387 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.387 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.387 * [taylor]: Taking taylor expansion of x in y 0.387 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in y 0.387 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.387 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.387 * [taylor]: Taking taylor expansion of y in y 0.388 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in y 0.388 * [taylor]: Taking taylor expansion of 2 in y 0.388 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.388 * [taylor]: Taking taylor expansion of (* x y) in y 0.388 * [taylor]: Taking taylor expansion of x in y 0.388 * [taylor]: Taking taylor expansion of y in y 0.388 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.388 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.388 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.388 * [taylor]: Taking taylor expansion of x in x 0.388 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.389 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.389 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.389 * [taylor]: Taking taylor expansion of y in x 0.389 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.389 * [taylor]: Taking taylor expansion of 2 in x 0.389 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.389 * [taylor]: Taking taylor expansion of (* x y) in x 0.389 * [taylor]: Taking taylor expansion of x in x 0.389 * [taylor]: Taking taylor expansion of y in x 0.389 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y))))) in x 0.389 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.389 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.389 * [taylor]: Taking taylor expansion of x in x 0.390 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))) in x 0.390 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.390 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.390 * [taylor]: Taking taylor expansion of y in x 0.390 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* x y))) in x 0.390 * [taylor]: Taking taylor expansion of 2 in x 0.390 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.390 * [taylor]: Taking taylor expansion of (* x y) in x 0.390 * [taylor]: Taking taylor expansion of x in x 0.390 * [taylor]: Taking taylor expansion of y in x 0.390 * [taylor]: Taking taylor expansion of 1 in y 0.391 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.391 * [taylor]: Taking taylor expansion of 2 in y 0.391 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.391 * [taylor]: Taking taylor expansion of y in y 0.394 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.394 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.394 * [taylor]: Taking taylor expansion of y in y 0.395 * * * [progress]: simplifying candidates 0.395 * [simplify]: Simplifying using # : (* y y) (* y (* 2 x)) (* y (* 2 x)) (* y y) (* y y) (* (* 2 x) y) (* (* 2 x) y) (* y y) (* y (+ (pow y 3) (pow (* 2 x) 3))) (* y (- (* y y) (* (* 2 x) (* 2 x)))) (+ (pow (* x x) 3) (pow (* y (+ y (* 2 x))) 3)) (+ (* (* x x) (* x x)) (- (* (* y (+ y (* 2 x))) (* y (+ y (* 2 x)))) (* (* x x) (* y (+ y (* 2 x)))))) (- (* (* x x) (* x x)) (* (* y (+ y (* 2 x))) (* y (+ y (* 2 x))))) (- (* x x) (* y (+ y (* 2 x)))) (+ (* x x) (* y y)) (+ (* x x) (* y (* 2 x))) (+ (* x x) (* y y)) (+ (* x x) (* (* 2 x) y)) (+ (pow y 2) (* 2 (* x y))) (+ (pow y 2) (* 2 (* x y))) (+ (pow y 2) (* 2 (* x y))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2 (* x y)))) 0.398 * * [simplify]: iteration 0 : 120 enodes (cost 97 ) 0.401 * * [simplify]: iteration 1 : 455 enodes (cost 94 ) 0.412 * * [simplify]: iteration 2 : 2478 enodes (cost 93 ) 0.468 * * [simplify]: iteration 3 : 5002 enodes (cost 93 ) 0.469 * [simplify]: Simplified to: (pow y 2) (* y (* 2 x)) (* y (* 2 x)) (pow y 2) (pow y 2) (* y (* 2 x)) (* y (* 2 x)) (pow y 2) (* y (+ (pow y 3) (pow (* 2 x) 3))) (* y (- (pow y 2) (* 4 (pow x 2)))) (+ (pow (* x x) 3) (pow (* y (+ y (* 2 x))) 3)) (+ (* (* y (+ y (* 2 x))) (- (* y (+ y (* 2 x))) (pow x 2))) (* (* x x) (* x x))) (+ (- (* (* y (+ y (* 2 x))) (* y (+ y (* 2 x))))) (pow x 4)) (- (* x x) (* y (+ y (* 2 x)))) (+ (* x x) (* y y)) (* x (+ (* y 2) x)) (+ (* x x) (* y y)) (* x (+ (* y 2) x)) (* y (+ y (* 2 x))) (* y (+ y (* 2 x))) (* y (+ y (* 2 x))) (+ (pow x 2) (* y (+ y (* 2 x)))) (+ (pow x 2) (* y (+ y (* 2 x)))) (+ (pow x 2) (* y (+ y (* 2 x)))) 0.469 * * * [progress]: adding candidates to table 0.498 * [progress]: [Phase 3 of 3] Extracting. 0.498 * * [regime]: Finding splitpoints for: (# #) 0.499 * * * [regime-changes]: Trying 2 branch expressions: (y x) 0.499 * * * * [regimes]: Trying to branch on y from (# #) 0.509 * * * * [regimes]: Trying to branch on x from (# #) 0.519 * * * [regime]: Found split indices: #