6.912 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.019 * * * [progress]: [2/2] Setting up program. 0.021 * [progress]: [Phase 2 of 3] Improving. 0.021 * [simplify]: Simplifying using # : (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 0.023 * * [simplify]: iteration 0 : 22 enodes (cost 7 ) 0.025 * * [simplify]: iteration 1 : 48 enodes (cost 7 ) 0.026 * * [simplify]: iteration 2 : 104 enodes (cost 7 ) 0.029 * * [simplify]: iteration 3 : 196 enodes (cost 7 ) 0.032 * * [simplify]: iteration 4 : 359 enodes (cost 7 ) 0.037 * * [simplify]: iteration 5 : 686 enodes (cost 7 ) 0.046 * * [simplify]: iteration 6 : 1355 enodes (cost 7 ) 0.080 * * [simplify]: iteration 7 : 5001 enodes (cost 7 ) 0.081 * [simplify]: Simplified to: (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 0.081 * * [progress]: iteration 1 / 4 0.081 * * * [progress]: picking best candidate 0.083 * * * * [pick]: Picked # 0.083 * * * [progress]: localizing error 0.091 * * * [progress]: generating rewritten candidates 0.091 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.099 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.104 * * * [progress]: generating series expansions 0.104 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.104 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0 0.104 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 0.104 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 0.104 * [taylor]: Taking taylor expansion of (+ x y) in y 0.104 * [taylor]: Taking taylor expansion of x in y 0.104 * [taylor]: Taking taylor expansion of y in y 0.104 * [taylor]: Taking taylor expansion of (- x y) in y 0.104 * [taylor]: Taking taylor expansion of x in y 0.104 * [taylor]: Taking taylor expansion of y in y 0.104 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.104 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.104 * [taylor]: Taking taylor expansion of x in y 0.105 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.105 * [taylor]: Taking taylor expansion of y in y 0.105 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.105 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.105 * [taylor]: Taking taylor expansion of (+ x y) in x 0.105 * [taylor]: Taking taylor expansion of x in x 0.105 * [taylor]: Taking taylor expansion of y in x 0.105 * [taylor]: Taking taylor expansion of (- x y) in x 0.105 * [taylor]: Taking taylor expansion of x in x 0.105 * [taylor]: Taking taylor expansion of y in x 0.105 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.105 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.105 * [taylor]: Taking taylor expansion of x in x 0.105 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.105 * [taylor]: Taking taylor expansion of y in x 0.106 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.106 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.106 * [taylor]: Taking taylor expansion of (+ x y) in x 0.106 * [taylor]: Taking taylor expansion of x in x 0.106 * [taylor]: Taking taylor expansion of y in x 0.106 * [taylor]: Taking taylor expansion of (- x y) in x 0.106 * [taylor]: Taking taylor expansion of x in x 0.106 * [taylor]: Taking taylor expansion of y in x 0.106 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.106 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.106 * [taylor]: Taking taylor expansion of x in x 0.106 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.106 * [taylor]: Taking taylor expansion of y in x 0.106 * [taylor]: Taking taylor expansion of -1 in y 0.107 * [taylor]: Taking taylor expansion of 0 in y 0.109 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.109 * [taylor]: Taking taylor expansion of 2 in y 0.109 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.109 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.109 * [taylor]: Taking taylor expansion of y in y 0.115 * [taylor]: Taking taylor expansion of 0 in y 0.115 * [approximate]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.115 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.115 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.115 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.115 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.115 * [taylor]: Taking taylor expansion of x in y 0.115 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.115 * [taylor]: Taking taylor expansion of y in y 0.115 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.115 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.115 * [taylor]: Taking taylor expansion of y in y 0.116 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.116 * [taylor]: Taking taylor expansion of x in y 0.116 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.116 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.116 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.116 * [taylor]: Taking taylor expansion of x in y 0.116 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.116 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.116 * [taylor]: Taking taylor expansion of y in y 0.118 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.118 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.118 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.118 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.118 * [taylor]: Taking taylor expansion of x in x 0.118 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.118 * [taylor]: Taking taylor expansion of y in x 0.118 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.118 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.118 * [taylor]: Taking taylor expansion of y in x 0.118 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.118 * [taylor]: Taking taylor expansion of x in x 0.119 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.119 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.119 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.119 * [taylor]: Taking taylor expansion of x in x 0.119 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.119 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.119 * [taylor]: Taking taylor expansion of y in x 0.120 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.120 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.120 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.120 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.120 * [taylor]: Taking taylor expansion of x in x 0.121 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.121 * [taylor]: Taking taylor expansion of y in x 0.121 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.121 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.121 * [taylor]: Taking taylor expansion of y in x 0.121 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.121 * [taylor]: Taking taylor expansion of x in x 0.121 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.121 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.121 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.121 * [taylor]: Taking taylor expansion of x in x 0.122 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.122 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.122 * [taylor]: Taking taylor expansion of y in x 0.123 * [taylor]: Taking taylor expansion of 1 in y 0.125 * [taylor]: Taking taylor expansion of 0 in y 0.129 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.129 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.129 * [taylor]: Taking taylor expansion of 2 in y 0.130 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.130 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.130 * [taylor]: Taking taylor expansion of y in y 0.141 * [taylor]: Taking taylor expansion of 0 in y 0.141 * [approximate]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in (x y) around 0 0.141 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.142 * [taylor]: Taking taylor expansion of -1 in y 0.142 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.142 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.142 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.142 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.142 * [taylor]: Taking taylor expansion of y in y 0.142 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.142 * [taylor]: Taking taylor expansion of x in y 0.142 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.142 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.142 * [taylor]: Taking taylor expansion of y in y 0.142 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.142 * [taylor]: Taking taylor expansion of x in y 0.142 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.142 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.142 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.142 * [taylor]: Taking taylor expansion of x in y 0.142 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.142 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.142 * [taylor]: Taking taylor expansion of y in y 0.144 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.144 * [taylor]: Taking taylor expansion of -1 in x 0.144 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.144 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.144 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.144 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.144 * [taylor]: Taking taylor expansion of y in x 0.144 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.144 * [taylor]: Taking taylor expansion of x in x 0.145 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.145 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.145 * [taylor]: Taking taylor expansion of y in x 0.145 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.145 * [taylor]: Taking taylor expansion of x in x 0.145 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.145 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.145 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.145 * [taylor]: Taking taylor expansion of x in x 0.145 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.145 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.145 * [taylor]: Taking taylor expansion of y in x 0.147 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.147 * [taylor]: Taking taylor expansion of -1 in x 0.147 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.147 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.147 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.147 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.147 * [taylor]: Taking taylor expansion of y in x 0.147 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.147 * [taylor]: Taking taylor expansion of x in x 0.147 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.147 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.147 * [taylor]: Taking taylor expansion of y in x 0.148 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.148 * [taylor]: Taking taylor expansion of x in x 0.148 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.148 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.148 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.148 * [taylor]: Taking taylor expansion of x in x 0.148 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.148 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.148 * [taylor]: Taking taylor expansion of y in x 0.150 * [taylor]: Taking taylor expansion of 1 in y 0.153 * [taylor]: Taking taylor expansion of 0 in y 0.157 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.157 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.157 * [taylor]: Taking taylor expansion of 2 in y 0.157 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.157 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.157 * [taylor]: Taking taylor expansion of y in y 0.166 * [taylor]: Taking taylor expansion of 0 in y 0.166 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.166 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.166 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.166 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.166 * [taylor]: Taking taylor expansion of x in y 0.166 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.166 * [taylor]: Taking taylor expansion of y in y 0.166 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.166 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.166 * [taylor]: Taking taylor expansion of x in x 0.166 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.166 * [taylor]: Taking taylor expansion of y in x 0.166 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.166 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.166 * [taylor]: Taking taylor expansion of x in x 0.166 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.166 * [taylor]: Taking taylor expansion of y in x 0.166 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.166 * [taylor]: Taking taylor expansion of y in y 0.167 * [taylor]: Taking taylor expansion of 0 in y 0.167 * [taylor]: Taking taylor expansion of 1 in y 0.169 * [taylor]: Taking taylor expansion of 0 in y 0.171 * [taylor]: Taking taylor expansion of 0 in y 0.171 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.171 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.171 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.171 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.171 * [taylor]: Taking taylor expansion of x in y 0.171 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.171 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.171 * [taylor]: Taking taylor expansion of y in y 0.172 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.172 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.172 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.172 * [taylor]: Taking taylor expansion of x in x 0.172 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.172 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.172 * [taylor]: Taking taylor expansion of y in x 0.172 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.172 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.172 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.172 * [taylor]: Taking taylor expansion of x in x 0.173 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.173 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.173 * [taylor]: Taking taylor expansion of y in x 0.173 * [taylor]: Taking taylor expansion of 1 in y 0.174 * [taylor]: Taking taylor expansion of 0 in y 0.175 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.175 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.175 * [taylor]: Taking taylor expansion of y in y 0.177 * [taylor]: Taking taylor expansion of 0 in y 0.180 * [taylor]: Taking taylor expansion of 0 in y 0.182 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.182 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.182 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.182 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.182 * [taylor]: Taking taylor expansion of x in y 0.182 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.182 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.182 * [taylor]: Taking taylor expansion of y in y 0.182 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.182 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.182 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.182 * [taylor]: Taking taylor expansion of x in x 0.183 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.183 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.183 * [taylor]: Taking taylor expansion of y in x 0.183 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.183 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.183 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.183 * [taylor]: Taking taylor expansion of x in x 0.183 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.183 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.183 * [taylor]: Taking taylor expansion of y in x 0.184 * [taylor]: Taking taylor expansion of 1 in y 0.185 * [taylor]: Taking taylor expansion of 0 in y 0.186 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.186 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.186 * [taylor]: Taking taylor expansion of y in y 0.188 * [taylor]: Taking taylor expansion of 0 in y 0.190 * [taylor]: Taking taylor expansion of 0 in y 0.192 * * * [progress]: simplifying candidates 0.192 * [simplify]: Simplifying using # : (- (* (- x y) (+ x y))) (- (+ (* x x) (* y y))) (/ 1 (+ (* x x) (* y y))) (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))) (/ (+ (* x x) (* y y)) (+ x y)) (/ (+ (* x x) (* y y)) (- x y)) (/ (* (- x y) (+ x y)) (+ (pow (* x x) 3) (pow (* y y) 3))) (/ (* (- x y) (+ x y)) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (* (+ (* x x) (* y y)) (* (+ (* x x) (+ (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y))))) (* (+ (* x x) (* y y)) (* (+ (* x x) (+ (* y y) (* x y))) (- x y))) (* (+ (* x x) (* y y)) (* (+ x y) (+ (* x x) (- (* y y) (* x y))))) (* (+ (* x x) (* y y)) (* (+ x y) (- x y))) (* (+ (* x x) (* y y)) (+ (* x x) (- (* y y) (* x y)))) (* (+ (* x x) (* y y)) (- x y)) (* (+ (* x x) (* y y)) (+ (* x x) (+ (* y y) (* x y)))) (* (+ (* x x) (* y y)) (+ x y)) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) -1 1 1 (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.195 * * [simplify]: iteration 0 : 169 enodes (cost 148 ) 0.200 * * [simplify]: iteration 1 : 859 enodes (cost 142 ) 0.214 * * [simplify]: iteration 2 : 3711 enodes (cost 134 ) 0.277 * * [simplify]: iteration 3 : 5001 enodes (cost 134 ) 0.278 * [simplify]: Simplified to: (- (pow y 2) (pow x 2)) (- (+ (* x x) (* y y))) (/ 1 (+ (* x x) (* y y))) (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))) (/ (+ (pow x 2) (pow y 2)) (+ x y)) (/ (+ (pow x 2) (pow y 2)) (- x y)) (/ (* (- x y) (+ x y)) (+ (pow (* x x) 3) (pow (* y y) 3))) (/ 1 (+ (* x x) (* y y))) (* (* (+ (* y (- y x)) (pow x 2)) (+ (* y (+ y x)) (pow x 2))) (+ (* x x) (* y y))) (* (* (- x y) (+ (* y (+ y x)) (pow x 2))) (+ (* x x) (* y y))) (* (* (+ (* y (- y x)) (pow x 2)) (+ x y)) (+ (* x x) (* y y))) (+ (* (- (pow y 3)) y) (pow x 4)) (* (+ (* y (- y x)) (pow x 2)) (+ (* x x) (* y y))) (* (+ (* x x) (* y y)) (- x y)) (* (+ (* y (+ y x)) (pow x 2)) (+ (* x x) (* y y))) (* (+ (* x x) (* y y)) (+ x y)) (+ (pow (* x x) 3) (pow (* y y) 3)) (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4))) (+ (* (- (pow y 3)) y) (pow x 4)) (* (- x y) (+ x y)) -1 1 1 (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.278 * * * [progress]: adding candidates to table 0.335 * * [progress]: iteration 2 / 4 0.336 * * * [progress]: picking best candidate 0.339 * * * * [pick]: Picked # 0.339 * * * [progress]: localizing error 0.351 * * * [progress]: generating rewritten candidates 0.351 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 0.356 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.363 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1) 0.367 * * * [progress]: generating series expansions 0.367 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 0.367 * [approximate]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (- x y)) in (x y) around 0 0.367 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (- x y)) in y 0.367 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.368 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.368 * [taylor]: Taking taylor expansion of x in y 0.368 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.368 * [taylor]: Taking taylor expansion of y in y 0.368 * [taylor]: Taking taylor expansion of (- x y) in y 0.368 * [taylor]: Taking taylor expansion of x in y 0.368 * [taylor]: Taking taylor expansion of y in y 0.368 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (- x y)) in x 0.368 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.368 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.368 * [taylor]: Taking taylor expansion of x in x 0.368 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.368 * [taylor]: Taking taylor expansion of y in x 0.368 * [taylor]: Taking taylor expansion of (- x y) in x 0.368 * [taylor]: Taking taylor expansion of x in x 0.368 * [taylor]: Taking taylor expansion of y in x 0.369 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (- x y)) in x 0.369 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.369 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.369 * [taylor]: Taking taylor expansion of x in x 0.369 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.369 * [taylor]: Taking taylor expansion of y in x 0.369 * [taylor]: Taking taylor expansion of (- x y) in x 0.369 * [taylor]: Taking taylor expansion of x in x 0.369 * [taylor]: Taking taylor expansion of y in x 0.369 * [taylor]: Taking taylor expansion of (* -1 y) in y 0.369 * [taylor]: Taking taylor expansion of -1 in y 0.369 * [taylor]: Taking taylor expansion of y in y 0.370 * [taylor]: Taking taylor expansion of (- 1) in y 0.370 * [taylor]: Taking taylor expansion of 1 in y 0.372 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 0.372 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.372 * [taylor]: Taking taylor expansion of 2 in y 0.372 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.372 * [taylor]: Taking taylor expansion of y in y 0.376 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.376 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.376 * [taylor]: Taking taylor expansion of 2 in y 0.376 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.376 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.376 * [taylor]: Taking taylor expansion of y in y 0.381 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (- (/ 1 x) (/ 1 y))) in (x y) around 0 0.381 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (- (/ 1 x) (/ 1 y))) in y 0.381 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.381 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.381 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.381 * [taylor]: Taking taylor expansion of x in y 0.381 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.381 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.381 * [taylor]: Taking taylor expansion of y in y 0.382 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.382 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.382 * [taylor]: Taking taylor expansion of x in y 0.382 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.382 * [taylor]: Taking taylor expansion of y in y 0.383 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (- (/ 1 x) (/ 1 y))) in x 0.383 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.383 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.383 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.383 * [taylor]: Taking taylor expansion of x in x 0.384 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.384 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.384 * [taylor]: Taking taylor expansion of y in x 0.384 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.384 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.384 * [taylor]: Taking taylor expansion of x in x 0.384 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.384 * [taylor]: Taking taylor expansion of y in x 0.385 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (- (/ 1 x) (/ 1 y))) in x 0.385 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.385 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.385 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.385 * [taylor]: Taking taylor expansion of x in x 0.385 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.385 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.386 * [taylor]: Taking taylor expansion of y in x 0.386 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.386 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.386 * [taylor]: Taking taylor expansion of x in x 0.386 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.386 * [taylor]: Taking taylor expansion of y in x 0.387 * [taylor]: Taking taylor expansion of 1 in y 0.388 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.389 * [taylor]: Taking taylor expansion of y in y 0.391 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.391 * [taylor]: Taking taylor expansion of 2 in y 0.391 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.391 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.391 * [taylor]: Taking taylor expansion of y in y 0.397 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 0.397 * [taylor]: Taking taylor expansion of 2 in y 0.397 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.397 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.397 * [taylor]: Taking taylor expansion of y in y 0.402 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (- (/ 1 y) (/ 1 x))) in (x y) around 0 0.402 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (- (/ 1 y) (/ 1 x))) in y 0.403 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.403 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.403 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.403 * [taylor]: Taking taylor expansion of x in y 0.403 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.403 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.403 * [taylor]: Taking taylor expansion of y in y 0.403 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.403 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.403 * [taylor]: Taking taylor expansion of y in y 0.403 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.404 * [taylor]: Taking taylor expansion of x in y 0.404 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (- (/ 1 y) (/ 1 x))) in x 0.404 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.404 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.404 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.404 * [taylor]: Taking taylor expansion of x in x 0.405 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.405 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.405 * [taylor]: Taking taylor expansion of y in x 0.405 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.405 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.405 * [taylor]: Taking taylor expansion of y in x 0.405 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.405 * [taylor]: Taking taylor expansion of x in x 0.406 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (- (/ 1 y) (/ 1 x))) in x 0.406 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.406 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.406 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.406 * [taylor]: Taking taylor expansion of x in x 0.407 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.407 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.407 * [taylor]: Taking taylor expansion of y in x 0.407 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.407 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.407 * [taylor]: Taking taylor expansion of y in x 0.407 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.407 * [taylor]: Taking taylor expansion of x in x 0.408 * [taylor]: Taking taylor expansion of -1 in y 0.410 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.410 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.410 * [taylor]: Taking taylor expansion of y in y 0.413 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.413 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.413 * [taylor]: Taking taylor expansion of 2 in y 0.413 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.413 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.413 * [taylor]: Taking taylor expansion of y in y 0.419 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 3)))) in y 0.419 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 0.419 * [taylor]: Taking taylor expansion of 2 in y 0.419 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.419 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.419 * [taylor]: Taking taylor expansion of y in y 0.425 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.426 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0 0.426 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 0.426 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 0.426 * [taylor]: Taking taylor expansion of (+ x y) in y 0.426 * [taylor]: Taking taylor expansion of x in y 0.426 * [taylor]: Taking taylor expansion of y in y 0.426 * [taylor]: Taking taylor expansion of (- x y) in y 0.426 * [taylor]: Taking taylor expansion of x in y 0.426 * [taylor]: Taking taylor expansion of y in y 0.426 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.426 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.426 * [taylor]: Taking taylor expansion of x in y 0.426 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.426 * [taylor]: Taking taylor expansion of y in y 0.427 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.427 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.427 * [taylor]: Taking taylor expansion of (+ x y) in x 0.427 * [taylor]: Taking taylor expansion of x in x 0.427 * [taylor]: Taking taylor expansion of y in x 0.427 * [taylor]: Taking taylor expansion of (- x y) in x 0.427 * [taylor]: Taking taylor expansion of x in x 0.427 * [taylor]: Taking taylor expansion of y in x 0.427 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.427 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.427 * [taylor]: Taking taylor expansion of x in x 0.427 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.427 * [taylor]: Taking taylor expansion of y in x 0.427 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.427 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.427 * [taylor]: Taking taylor expansion of (+ x y) in x 0.427 * [taylor]: Taking taylor expansion of x in x 0.427 * [taylor]: Taking taylor expansion of y in x 0.427 * [taylor]: Taking taylor expansion of (- x y) in x 0.427 * [taylor]: Taking taylor expansion of x in x 0.427 * [taylor]: Taking taylor expansion of y in x 0.427 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.427 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.427 * [taylor]: Taking taylor expansion of x in x 0.427 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.427 * [taylor]: Taking taylor expansion of y in x 0.428 * [taylor]: Taking taylor expansion of -1 in y 0.429 * [taylor]: Taking taylor expansion of 0 in y 0.431 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.431 * [taylor]: Taking taylor expansion of 2 in y 0.431 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.431 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.431 * [taylor]: Taking taylor expansion of y in y 0.439 * [taylor]: Taking taylor expansion of 0 in y 0.440 * [approximate]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.440 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.440 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.440 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.440 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.440 * [taylor]: Taking taylor expansion of x in y 0.440 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.440 * [taylor]: Taking taylor expansion of y in y 0.440 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.440 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.440 * [taylor]: Taking taylor expansion of y in y 0.440 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.440 * [taylor]: Taking taylor expansion of x in y 0.440 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.440 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.440 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.440 * [taylor]: Taking taylor expansion of x in y 0.441 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.441 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.441 * [taylor]: Taking taylor expansion of y in y 0.442 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.442 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.442 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.442 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.442 * [taylor]: Taking taylor expansion of x in x 0.443 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.443 * [taylor]: Taking taylor expansion of y in x 0.443 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.443 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.443 * [taylor]: Taking taylor expansion of y in x 0.443 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.443 * [taylor]: Taking taylor expansion of x in x 0.443 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.443 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.443 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.443 * [taylor]: Taking taylor expansion of x in x 0.444 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.444 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.444 * [taylor]: Taking taylor expansion of y in x 0.445 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.445 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.445 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.445 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.445 * [taylor]: Taking taylor expansion of x in x 0.445 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.445 * [taylor]: Taking taylor expansion of y in x 0.445 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.445 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.445 * [taylor]: Taking taylor expansion of y in x 0.445 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.446 * [taylor]: Taking taylor expansion of x in x 0.446 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.446 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.446 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.446 * [taylor]: Taking taylor expansion of x in x 0.446 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.446 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.446 * [taylor]: Taking taylor expansion of y in x 0.448 * [taylor]: Taking taylor expansion of 1 in y 0.450 * [taylor]: Taking taylor expansion of 0 in y 0.454 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.454 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.454 * [taylor]: Taking taylor expansion of 2 in y 0.454 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.454 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.454 * [taylor]: Taking taylor expansion of y in y 0.462 * [taylor]: Taking taylor expansion of 0 in y 0.462 * [approximate]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in (x y) around 0 0.462 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.462 * [taylor]: Taking taylor expansion of -1 in y 0.462 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.462 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.462 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.462 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.462 * [taylor]: Taking taylor expansion of y in y 0.462 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.462 * [taylor]: Taking taylor expansion of x in y 0.463 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.463 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.463 * [taylor]: Taking taylor expansion of y in y 0.463 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.463 * [taylor]: Taking taylor expansion of x in y 0.463 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.463 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.463 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.463 * [taylor]: Taking taylor expansion of x in y 0.463 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.463 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.463 * [taylor]: Taking taylor expansion of y in y 0.465 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.465 * [taylor]: Taking taylor expansion of -1 in x 0.465 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.465 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.465 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.465 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.465 * [taylor]: Taking taylor expansion of y in x 0.465 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.465 * [taylor]: Taking taylor expansion of x in x 0.465 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.465 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.465 * [taylor]: Taking taylor expansion of y in x 0.465 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.465 * [taylor]: Taking taylor expansion of x in x 0.465 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.465 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.465 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.465 * [taylor]: Taking taylor expansion of x in x 0.466 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.466 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.466 * [taylor]: Taking taylor expansion of y in x 0.468 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.468 * [taylor]: Taking taylor expansion of -1 in x 0.468 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.468 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.468 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.468 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.468 * [taylor]: Taking taylor expansion of y in x 0.468 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.468 * [taylor]: Taking taylor expansion of x in x 0.468 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.468 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.468 * [taylor]: Taking taylor expansion of y in x 0.468 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.468 * [taylor]: Taking taylor expansion of x in x 0.468 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.468 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.468 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.468 * [taylor]: Taking taylor expansion of x in x 0.469 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.469 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.469 * [taylor]: Taking taylor expansion of y in x 0.471 * [taylor]: Taking taylor expansion of 1 in y 0.474 * [taylor]: Taking taylor expansion of 0 in y 0.478 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.478 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.478 * [taylor]: Taking taylor expansion of 2 in y 0.478 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.478 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.478 * [taylor]: Taking taylor expansion of y in y 0.486 * [taylor]: Taking taylor expansion of 0 in y 0.487 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1) 0.487 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.487 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.487 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.487 * [taylor]: Taking taylor expansion of x in y 0.487 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.487 * [taylor]: Taking taylor expansion of y in y 0.487 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.487 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.487 * [taylor]: Taking taylor expansion of x in x 0.487 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.487 * [taylor]: Taking taylor expansion of y in x 0.487 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.487 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.487 * [taylor]: Taking taylor expansion of x in x 0.487 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.487 * [taylor]: Taking taylor expansion of y in x 0.487 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.487 * [taylor]: Taking taylor expansion of y in y 0.487 * [taylor]: Taking taylor expansion of 0 in y 0.488 * [taylor]: Taking taylor expansion of 1 in y 0.490 * [taylor]: Taking taylor expansion of 0 in y 0.491 * [taylor]: Taking taylor expansion of 0 in y 0.492 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.492 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.492 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.492 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.492 * [taylor]: Taking taylor expansion of x in y 0.492 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.492 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.492 * [taylor]: Taking taylor expansion of y in y 0.492 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.493 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.493 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.493 * [taylor]: Taking taylor expansion of x in x 0.493 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.493 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.493 * [taylor]: Taking taylor expansion of y in x 0.493 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.493 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.493 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.493 * [taylor]: Taking taylor expansion of x in x 0.494 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.494 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.494 * [taylor]: Taking taylor expansion of y in x 0.494 * [taylor]: Taking taylor expansion of 1 in y 0.495 * [taylor]: Taking taylor expansion of 0 in y 0.496 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.496 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.496 * [taylor]: Taking taylor expansion of y in y 0.498 * [taylor]: Taking taylor expansion of 0 in y 0.501 * [taylor]: Taking taylor expansion of 0 in y 0.502 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.502 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.502 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.502 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.502 * [taylor]: Taking taylor expansion of x in y 0.502 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.502 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.502 * [taylor]: Taking taylor expansion of y in y 0.503 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.503 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.503 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.503 * [taylor]: Taking taylor expansion of x in x 0.503 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.503 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.503 * [taylor]: Taking taylor expansion of y in x 0.503 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.503 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.503 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.503 * [taylor]: Taking taylor expansion of x in x 0.504 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.504 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.504 * [taylor]: Taking taylor expansion of y in x 0.504 * [taylor]: Taking taylor expansion of 1 in y 0.505 * [taylor]: Taking taylor expansion of 0 in y 0.506 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.507 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.507 * [taylor]: Taking taylor expansion of y in y 0.508 * [taylor]: Taking taylor expansion of 0 in y 0.511 * [taylor]: Taking taylor expansion of 0 in y 0.512 * * * [progress]: simplifying candidates 0.513 * [simplify]: Simplifying using # : (- (+ (pow x 2) (pow y 2))) (- (- x y)) (/ 1 (- x y)) (/ (- x y) (+ (pow x 2) (pow y 2))) (/ (+ (pow x 2) (pow y 2)) (- (pow x 3) (pow y 3))) (/ (+ (pow x 2) (pow y 2)) (- (* x x) (* y y))) (* (- x y) (+ (* (pow x 2) (pow x 2)) (- (* (pow y 2) (pow y 2)) (* (pow x 2) (pow y 2))))) (* (- x y) (- (pow x 2) (pow y 2))) (- (+ x y)) (- (/ (+ (pow x 2) (pow y 2)) (- x y))) (/ 1 (/ (+ (pow x 2) (pow y 2)) (- x y))) (/ (/ (+ (pow x 2) (pow y 2)) (- x y)) (+ x y)) (/ (+ x y) (+ (pow x 2) (pow y 2))) (/ (+ x y) (/ (+ (pow x 2) (pow y 2)) (- (pow x 3) (pow y 3)))) (/ (+ x y) (/ (+ (pow x 2) (pow y 2)) (- (* x x) (* y y)))) (/ (+ x y) (+ (pow x 2) (pow y 2))) (/ (+ x y) (- (+ (pow x 2) (pow y 2)))) (/ (+ x y) 1) (/ (+ x y) (+ (pow (pow x 2) 3) (pow (pow y 2) 3))) (/ (+ x y) (- (* (pow x 2) (pow x 2)) (* (pow y 2) (pow y 2)))) (* (/ (+ (pow x 2) (pow y 2)) (- x y)) (+ (* x x) (- (* y y) (* x y)))) (* (/ (+ (pow x 2) (pow y 2)) (- x y)) (- x y)) (+ (pow (pow x 2) 3) (pow (pow y 2) 3)) (+ (* (pow x 2) (pow x 2)) (- (* (pow y 2) (pow y 2)) (* (pow x 2) (pow y 2)))) (- (* (pow x 2) (pow x 2)) (* (pow y 2) (pow y 2))) (- (pow x 2) (pow y 2)) (- (+ x y)) (+ x y) (+ x y) -1 1 1 (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.516 * * [simplify]: iteration 0 : 140 enodes (cost 162 ) 0.519 * * [simplify]: iteration 1 : 515 enodes (cost 160 ) 0.530 * * [simplify]: iteration 2 : 1970 enodes (cost 154 ) 0.591 * * [simplify]: iteration 3 : 5002 enodes (cost 153 ) 0.593 * [simplify]: Simplified to: (- (+ (pow x 2) (pow y 2))) (- y x) (/ 1 (- x y)) (/ (- x y) (+ (pow x 2) (pow y 2))) (/ (+ (pow x 2) (pow y 2)) (- (pow x 3) (pow y 3))) (/ (/ (+ (pow x 2) (pow y 2)) (- x y)) (+ x y)) (* (- (+ (pow x 4) (pow y 4)) (* (pow x 2) (pow y 2))) (- x y)) (* (- x y) (- (pow x 2) (pow y 2))) (- (+ x y)) (- (/ (+ (pow x 2) (pow y 2)) (- x y))) (/ (- x y) (+ (pow x 2) (pow y 2))) (/ (/ (+ (pow x 2) (pow y 2)) (- x y)) (+ x y)) (/ (+ x y) (+ (pow x 2) (pow y 2))) (/ (+ x y) (/ (+ (pow x 2) (pow y 2)) (- (pow x 3) (pow y 3)))) (/ (+ x y) (/ (+ (pow x 2) (pow y 2)) (- (* x x) (* y y)))) (/ (+ x y) (+ (pow x 2) (pow y 2))) (/ (+ x y) (- (+ (pow x 2) (pow y 2)))) (+ x y) (/ (+ x y) (+ (pow (pow x 2) 3) (pow (pow y 2) 3))) (/ (+ x y) (+ (pow x 4) (- (pow y 4)))) (* (+ (* y (- y x)) (pow x 2)) (/ (+ (pow x 2) (pow y 2)) (- x y))) (+ (pow x 2) (pow y 2)) (+ (pow (pow x 2) 3) (pow (pow y 2) 3)) (- (+ (pow x 4) (pow y 4)) (* (pow x 2) (pow y 2))) (+ (pow x 4) (- (pow y 4))) (- (* x x) (* y y)) (- (+ x y)) (+ x y) (+ x y) -1 1 1 (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.593 * * * [progress]: adding candidates to table 0.666 * * [progress]: iteration 3 / 4 0.667 * * * [progress]: picking best candidate 0.670 * * * * [pick]: Picked # 0.670 * * * [progress]: localizing error 0.682 * * * [progress]: generating rewritten candidates 0.682 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 0.688 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.701 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.713 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 1) 0.722 * * * [progress]: generating series expansions 0.722 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 0.722 * [approximate]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (- x y)) in (x y) around 0 0.722 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (- x y)) in y 0.722 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.722 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.722 * [taylor]: Taking taylor expansion of x in y 0.722 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.722 * [taylor]: Taking taylor expansion of y in y 0.722 * [taylor]: Taking taylor expansion of (- x y) in y 0.722 * [taylor]: Taking taylor expansion of x in y 0.722 * [taylor]: Taking taylor expansion of y in y 0.723 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (- x y)) in x 0.723 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.723 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.723 * [taylor]: Taking taylor expansion of x in x 0.723 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.723 * [taylor]: Taking taylor expansion of y in x 0.723 * [taylor]: Taking taylor expansion of (- x y) in x 0.723 * [taylor]: Taking taylor expansion of x in x 0.723 * [taylor]: Taking taylor expansion of y in x 0.723 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (- x y)) in x 0.723 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.723 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.723 * [taylor]: Taking taylor expansion of x in x 0.723 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.723 * [taylor]: Taking taylor expansion of y in x 0.723 * [taylor]: Taking taylor expansion of (- x y) in x 0.723 * [taylor]: Taking taylor expansion of x in x 0.723 * [taylor]: Taking taylor expansion of y in x 0.724 * [taylor]: Taking taylor expansion of (* -1 y) in y 0.724 * [taylor]: Taking taylor expansion of -1 in y 0.724 * [taylor]: Taking taylor expansion of y in y 0.725 * [taylor]: Taking taylor expansion of (- 1) in y 0.725 * [taylor]: Taking taylor expansion of 1 in y 0.727 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 0.727 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.727 * [taylor]: Taking taylor expansion of 2 in y 0.727 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.727 * [taylor]: Taking taylor expansion of y in y 0.734 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.734 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.734 * [taylor]: Taking taylor expansion of 2 in y 0.734 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.734 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.734 * [taylor]: Taking taylor expansion of y in y 0.739 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (- (/ 1 x) (/ 1 y))) in (x y) around 0 0.739 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (- (/ 1 x) (/ 1 y))) in y 0.739 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.739 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.739 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.739 * [taylor]: Taking taylor expansion of x in y 0.739 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.739 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.739 * [taylor]: Taking taylor expansion of y in y 0.740 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.740 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.740 * [taylor]: Taking taylor expansion of x in y 0.740 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.740 * [taylor]: Taking taylor expansion of y in y 0.741 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (- (/ 1 x) (/ 1 y))) in x 0.741 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.741 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.741 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.741 * [taylor]: Taking taylor expansion of x in x 0.742 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.742 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.742 * [taylor]: Taking taylor expansion of y in x 0.742 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.742 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.742 * [taylor]: Taking taylor expansion of x in x 0.742 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.742 * [taylor]: Taking taylor expansion of y in x 0.743 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (- (/ 1 x) (/ 1 y))) in x 0.743 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.743 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.743 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.743 * [taylor]: Taking taylor expansion of x in x 0.743 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.743 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.743 * [taylor]: Taking taylor expansion of y in x 0.744 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.744 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.744 * [taylor]: Taking taylor expansion of x in x 0.744 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.744 * [taylor]: Taking taylor expansion of y in x 0.745 * [taylor]: Taking taylor expansion of 1 in y 0.746 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.746 * [taylor]: Taking taylor expansion of y in y 0.749 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.749 * [taylor]: Taking taylor expansion of 2 in y 0.749 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.749 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.749 * [taylor]: Taking taylor expansion of y in y 0.755 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 0.755 * [taylor]: Taking taylor expansion of 2 in y 0.755 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.755 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.755 * [taylor]: Taking taylor expansion of y in y 0.761 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (- (/ 1 y) (/ 1 x))) in (x y) around 0 0.761 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (- (/ 1 y) (/ 1 x))) in y 0.761 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.761 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.761 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.761 * [taylor]: Taking taylor expansion of x in y 0.761 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.761 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.761 * [taylor]: Taking taylor expansion of y in y 0.761 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.761 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.761 * [taylor]: Taking taylor expansion of y in y 0.762 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.762 * [taylor]: Taking taylor expansion of x in y 0.762 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (- (/ 1 y) (/ 1 x))) in x 0.762 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.762 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.763 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.763 * [taylor]: Taking taylor expansion of x in x 0.763 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.763 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.763 * [taylor]: Taking taylor expansion of y in x 0.763 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.763 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.763 * [taylor]: Taking taylor expansion of y in x 0.763 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.763 * [taylor]: Taking taylor expansion of x in x 0.764 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (- (/ 1 y) (/ 1 x))) in x 0.764 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.764 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.765 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.765 * [taylor]: Taking taylor expansion of x in x 0.765 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.765 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.765 * [taylor]: Taking taylor expansion of y in x 0.765 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.765 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.765 * [taylor]: Taking taylor expansion of y in x 0.765 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.765 * [taylor]: Taking taylor expansion of x in x 0.766 * [taylor]: Taking taylor expansion of -1 in y 0.768 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.768 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.768 * [taylor]: Taking taylor expansion of y in y 0.772 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.772 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.772 * [taylor]: Taking taylor expansion of 2 in y 0.772 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.772 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.772 * [taylor]: Taking taylor expansion of y in y 0.777 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 3)))) in y 0.777 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 0.778 * [taylor]: Taking taylor expansion of 2 in y 0.778 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.778 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.778 * [taylor]: Taking taylor expansion of y in y 0.784 * * * * [progress]: [ 2 / 4 ] generating series at (2) 0.784 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0 0.784 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 0.784 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 0.784 * [taylor]: Taking taylor expansion of (+ x y) in y 0.784 * [taylor]: Taking taylor expansion of x in y 0.784 * [taylor]: Taking taylor expansion of y in y 0.784 * [taylor]: Taking taylor expansion of (- x y) in y 0.784 * [taylor]: Taking taylor expansion of x in y 0.784 * [taylor]: Taking taylor expansion of y in y 0.784 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.784 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.784 * [taylor]: Taking taylor expansion of x in y 0.784 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.784 * [taylor]: Taking taylor expansion of y in y 0.785 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.785 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.785 * [taylor]: Taking taylor expansion of (+ x y) in x 0.785 * [taylor]: Taking taylor expansion of x in x 0.785 * [taylor]: Taking taylor expansion of y in x 0.785 * [taylor]: Taking taylor expansion of (- x y) in x 0.785 * [taylor]: Taking taylor expansion of x in x 0.785 * [taylor]: Taking taylor expansion of y in x 0.785 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.785 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.785 * [taylor]: Taking taylor expansion of x in x 0.785 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.785 * [taylor]: Taking taylor expansion of y in x 0.785 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.785 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.785 * [taylor]: Taking taylor expansion of (+ x y) in x 0.785 * [taylor]: Taking taylor expansion of x in x 0.785 * [taylor]: Taking taylor expansion of y in x 0.785 * [taylor]: Taking taylor expansion of (- x y) in x 0.785 * [taylor]: Taking taylor expansion of x in x 0.786 * [taylor]: Taking taylor expansion of y in x 0.786 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.786 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.786 * [taylor]: Taking taylor expansion of x in x 0.786 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.786 * [taylor]: Taking taylor expansion of y in x 0.786 * [taylor]: Taking taylor expansion of -1 in y 0.787 * [taylor]: Taking taylor expansion of 0 in y 0.789 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.789 * [taylor]: Taking taylor expansion of 2 in y 0.789 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.789 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.789 * [taylor]: Taking taylor expansion of y in y 0.794 * [taylor]: Taking taylor expansion of 0 in y 0.795 * [approximate]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.795 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.795 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.795 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.795 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.795 * [taylor]: Taking taylor expansion of x in y 0.795 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.795 * [taylor]: Taking taylor expansion of y in y 0.795 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.795 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.795 * [taylor]: Taking taylor expansion of y in y 0.796 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.796 * [taylor]: Taking taylor expansion of x in y 0.796 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.796 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.796 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.796 * [taylor]: Taking taylor expansion of x in y 0.796 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.796 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.796 * [taylor]: Taking taylor expansion of y in y 0.798 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.798 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.798 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.798 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.798 * [taylor]: Taking taylor expansion of x in x 0.798 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.798 * [taylor]: Taking taylor expansion of y in x 0.798 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.798 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.798 * [taylor]: Taking taylor expansion of y in x 0.798 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.798 * [taylor]: Taking taylor expansion of x in x 0.799 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.799 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.799 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.799 * [taylor]: Taking taylor expansion of x in x 0.799 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.799 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.799 * [taylor]: Taking taylor expansion of y in x 0.800 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.800 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.800 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.800 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.800 * [taylor]: Taking taylor expansion of x in x 0.801 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.801 * [taylor]: Taking taylor expansion of y in x 0.801 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.801 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.801 * [taylor]: Taking taylor expansion of y in x 0.801 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.801 * [taylor]: Taking taylor expansion of x in x 0.801 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.801 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.801 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.801 * [taylor]: Taking taylor expansion of x in x 0.802 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.802 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.802 * [taylor]: Taking taylor expansion of y in x 0.803 * [taylor]: Taking taylor expansion of 1 in y 0.805 * [taylor]: Taking taylor expansion of 0 in y 0.809 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.809 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.809 * [taylor]: Taking taylor expansion of 2 in y 0.809 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.809 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.809 * [taylor]: Taking taylor expansion of y in y 0.819 * [taylor]: Taking taylor expansion of 0 in y 0.820 * [approximate]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in (x y) around 0 0.820 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.820 * [taylor]: Taking taylor expansion of -1 in y 0.820 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.820 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.820 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.820 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.820 * [taylor]: Taking taylor expansion of y in y 0.820 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.821 * [taylor]: Taking taylor expansion of x in y 0.821 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.821 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.821 * [taylor]: Taking taylor expansion of y in y 0.821 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.821 * [taylor]: Taking taylor expansion of x in y 0.821 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.821 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.821 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.821 * [taylor]: Taking taylor expansion of x in y 0.821 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.821 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.821 * [taylor]: Taking taylor expansion of y in y 0.823 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.823 * [taylor]: Taking taylor expansion of -1 in x 0.823 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.823 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.823 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.823 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.823 * [taylor]: Taking taylor expansion of y in x 0.823 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.823 * [taylor]: Taking taylor expansion of x in x 0.823 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.823 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.823 * [taylor]: Taking taylor expansion of y in x 0.823 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.823 * [taylor]: Taking taylor expansion of x in x 0.823 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.824 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.824 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.824 * [taylor]: Taking taylor expansion of x in x 0.824 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.824 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.824 * [taylor]: Taking taylor expansion of y in x 0.826 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.826 * [taylor]: Taking taylor expansion of -1 in x 0.826 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.826 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.826 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.826 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.826 * [taylor]: Taking taylor expansion of y in x 0.826 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.826 * [taylor]: Taking taylor expansion of x in x 0.826 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.826 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.826 * [taylor]: Taking taylor expansion of y in x 0.826 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.826 * [taylor]: Taking taylor expansion of x in x 0.826 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.826 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.826 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.826 * [taylor]: Taking taylor expansion of x in x 0.827 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.827 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.827 * [taylor]: Taking taylor expansion of y in x 0.829 * [taylor]: Taking taylor expansion of 1 in y 0.832 * [taylor]: Taking taylor expansion of 0 in y 0.836 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.836 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.836 * [taylor]: Taking taylor expansion of 2 in y 0.836 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.836 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.836 * [taylor]: Taking taylor expansion of y in y 0.845 * [taylor]: Taking taylor expansion of 0 in y 0.845 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.845 * [approximate]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (- x y)) in (x y) around 0 0.845 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (- x y)) in y 0.845 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.845 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.845 * [taylor]: Taking taylor expansion of x in y 0.845 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.845 * [taylor]: Taking taylor expansion of y in y 0.845 * [taylor]: Taking taylor expansion of (- x y) in y 0.845 * [taylor]: Taking taylor expansion of x in y 0.845 * [taylor]: Taking taylor expansion of y in y 0.846 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (- x y)) in x 0.846 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.846 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.846 * [taylor]: Taking taylor expansion of x in x 0.846 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.846 * [taylor]: Taking taylor expansion of y in x 0.846 * [taylor]: Taking taylor expansion of (- x y) in x 0.846 * [taylor]: Taking taylor expansion of x in x 0.846 * [taylor]: Taking taylor expansion of y in x 0.846 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (- x y)) in x 0.846 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.846 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.846 * [taylor]: Taking taylor expansion of x in x 0.846 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.846 * [taylor]: Taking taylor expansion of y in x 0.846 * [taylor]: Taking taylor expansion of (- x y) in x 0.846 * [taylor]: Taking taylor expansion of x in x 0.846 * [taylor]: Taking taylor expansion of y in x 0.847 * [taylor]: Taking taylor expansion of (* -1 y) in y 0.847 * [taylor]: Taking taylor expansion of -1 in y 0.847 * [taylor]: Taking taylor expansion of y in y 0.848 * [taylor]: Taking taylor expansion of (- 1) in y 0.848 * [taylor]: Taking taylor expansion of 1 in y 0.850 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 0.850 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.850 * [taylor]: Taking taylor expansion of 2 in y 0.850 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.850 * [taylor]: Taking taylor expansion of y in y 0.854 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.854 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.854 * [taylor]: Taking taylor expansion of 2 in y 0.854 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.854 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.854 * [taylor]: Taking taylor expansion of y in y 0.859 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (- (/ 1 x) (/ 1 y))) in (x y) around 0 0.859 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (- (/ 1 x) (/ 1 y))) in y 0.859 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.859 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.859 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.859 * [taylor]: Taking taylor expansion of x in y 0.859 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.859 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.859 * [taylor]: Taking taylor expansion of y in y 0.860 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.860 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.860 * [taylor]: Taking taylor expansion of x in y 0.860 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.860 * [taylor]: Taking taylor expansion of y in y 0.861 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (- (/ 1 x) (/ 1 y))) in x 0.861 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.861 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.861 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.861 * [taylor]: Taking taylor expansion of x in x 0.861 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.861 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.861 * [taylor]: Taking taylor expansion of y in x 0.862 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.862 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.862 * [taylor]: Taking taylor expansion of x in x 0.862 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.862 * [taylor]: Taking taylor expansion of y in x 0.863 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (- (/ 1 x) (/ 1 y))) in x 0.863 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.863 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.863 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.863 * [taylor]: Taking taylor expansion of x in x 0.863 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.863 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.863 * [taylor]: Taking taylor expansion of y in x 0.863 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.863 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.863 * [taylor]: Taking taylor expansion of x in x 0.864 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.864 * [taylor]: Taking taylor expansion of y in x 0.864 * [taylor]: Taking taylor expansion of 1 in y 0.866 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.866 * [taylor]: Taking taylor expansion of y in y 0.869 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.869 * [taylor]: Taking taylor expansion of 2 in y 0.869 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.869 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.869 * [taylor]: Taking taylor expansion of y in y 0.875 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 0.875 * [taylor]: Taking taylor expansion of 2 in y 0.875 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.875 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.875 * [taylor]: Taking taylor expansion of y in y 0.881 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (- (/ 1 y) (/ 1 x))) in (x y) around 0 0.881 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (- (/ 1 y) (/ 1 x))) in y 0.881 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.881 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.881 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.881 * [taylor]: Taking taylor expansion of x in y 0.881 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.881 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.881 * [taylor]: Taking taylor expansion of y in y 0.882 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.882 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.882 * [taylor]: Taking taylor expansion of y in y 0.882 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.882 * [taylor]: Taking taylor expansion of x in y 0.883 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (- (/ 1 y) (/ 1 x))) in x 0.883 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.883 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.883 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.883 * [taylor]: Taking taylor expansion of x in x 0.883 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.883 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.883 * [taylor]: Taking taylor expansion of y in x 0.883 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.883 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.884 * [taylor]: Taking taylor expansion of y in x 0.884 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.884 * [taylor]: Taking taylor expansion of x in x 0.885 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (- (/ 1 y) (/ 1 x))) in x 0.885 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.885 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.885 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.885 * [taylor]: Taking taylor expansion of x in x 0.885 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.885 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.885 * [taylor]: Taking taylor expansion of y in x 0.885 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.885 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.886 * [taylor]: Taking taylor expansion of y in x 0.886 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.886 * [taylor]: Taking taylor expansion of x in x 0.887 * [taylor]: Taking taylor expansion of -1 in y 0.889 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.889 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.889 * [taylor]: Taking taylor expansion of y in y 0.892 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.892 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.892 * [taylor]: Taking taylor expansion of 2 in y 0.892 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.892 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.892 * [taylor]: Taking taylor expansion of y in y 0.900 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 3)))) in y 0.901 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 0.901 * [taylor]: Taking taylor expansion of 2 in y 0.901 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.901 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.901 * [taylor]: Taking taylor expansion of y in y 0.907 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 1) 0.907 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.907 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.907 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.907 * [taylor]: Taking taylor expansion of x in y 0.907 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.907 * [taylor]: Taking taylor expansion of y in y 0.907 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.907 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.907 * [taylor]: Taking taylor expansion of x 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 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.907 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.907 * [taylor]: Taking taylor expansion of x in x 0.907 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.907 * [taylor]: Taking taylor expansion of y in x 0.908 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.908 * [taylor]: Taking taylor expansion of y in y 0.908 * [taylor]: Taking taylor expansion of 0 in y 0.909 * [taylor]: Taking taylor expansion of 1 in y 0.910 * [taylor]: Taking taylor expansion of 0 in y 0.912 * [taylor]: Taking taylor expansion of 0 in y 0.912 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.912 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.912 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.912 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.912 * [taylor]: Taking taylor expansion of x in y 0.912 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.912 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.912 * [taylor]: Taking taylor expansion of y in y 0.913 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.913 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.913 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.913 * [taylor]: Taking taylor expansion of x in x 0.914 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.914 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.914 * [taylor]: Taking taylor expansion of y in x 0.914 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.914 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.914 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.914 * [taylor]: Taking taylor expansion of x in x 0.914 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.914 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.914 * [taylor]: Taking taylor expansion of y in x 0.915 * [taylor]: Taking taylor expansion of 1 in y 0.916 * [taylor]: Taking taylor expansion of 0 in y 0.917 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.917 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.917 * [taylor]: Taking taylor expansion of y in y 0.919 * [taylor]: Taking taylor expansion of 0 in y 0.921 * [taylor]: Taking taylor expansion of 0 in y 0.923 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.923 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.923 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.923 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.923 * [taylor]: Taking taylor expansion of x in y 0.923 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.923 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.923 * [taylor]: Taking taylor expansion of y in y 0.923 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.923 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.923 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.923 * [taylor]: Taking taylor expansion of x in x 0.924 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.924 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.924 * [taylor]: Taking taylor expansion of y in x 0.924 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.924 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.924 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.924 * [taylor]: Taking taylor expansion of x in x 0.925 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.925 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.925 * [taylor]: Taking taylor expansion of y in x 0.925 * [taylor]: Taking taylor expansion of 1 in y 0.926 * [taylor]: Taking taylor expansion of 0 in y 0.927 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.927 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.927 * [taylor]: Taking taylor expansion of y in y 0.929 * [taylor]: Taking taylor expansion of 0 in y 0.932 * [taylor]: Taking taylor expansion of 0 in y 0.933 * * * [progress]: simplifying candidates 0.935 * [simplify]: Simplifying using # : (- (+ (pow x 2) (pow y 2))) (- (- x y)) (/ 1 (- x y)) (/ (- x y) (+ (pow x 2) (pow y 2))) (/ (+ (pow x 2) (pow y 2)) (- (pow x 3) (pow y 3))) (/ (+ (pow x 2) (pow y 2)) (- (* x x) (* y y))) (* (- x y) (+ (* (pow x 2) (pow x 2)) (- (* (pow y 2) (pow y 2)) (* (pow x 2) (pow y 2))))) (* (- x y) (- (pow x 2) (pow y 2))) (- (+ x y)) (- (* (/ (/ (+ (pow x 2) (pow y 2)) (- x y)) (+ x y)) (+ x y))) (/ 1 (* (/ (/ (+ (pow x 2) (pow y 2)) (- x y)) (+ x y)) (+ x y))) (/ (* (/ (/ (+ (pow x 2) (pow y 2)) (- x y)) (+ x y)) (+ x y)) (+ x y)) (/ (+ x y) (/ (/ (+ (pow x 2) (pow y 2)) (- x y)) (+ x y))) (/ (+ x y) (/ (+ (pow x 2) (pow y 2)) (- x y))) (/ (+ x y) (/ (/ (+ (pow x 2) (pow y 2)) (- x y)) (+ (pow x 3) (pow y 3)))) (/ (+ x y) (/ (/ (+ (pow x 2) (pow y 2)) (- x y)) (- (* x x) (* y y)))) (/ (+ x y) (+ x y)) (/ (+ x y) (* (/ (+ (pow x 2) (pow y 2)) (- x y)) (+ (pow x 3) (pow y 3)))) (/ (+ x y) (* (/ (+ (pow x 2) (pow y 2)) (- x y)) (- (* x x) (* y y)))) (/ (+ x y) (* (- (/ (+ (pow x 2) (pow y 2)) (- x y))) (+ (pow x 3) (pow y 3)))) (/ (+ x y) (* (- (/ (+ (pow x 2) (pow y 2)) (- x y))) (- (* x x) (* y y)))) (/ (+ x y) (* 1 (+ (pow x 3) (pow y 3)))) (/ (+ x y) (* 1 (- (* x x) (* y y)))) (/ (+ x y) (* (+ (pow x 2) (pow y 2)) (+ (pow x 3) (pow y 3)))) (/ (+ x y) (* (+ (pow x 2) (pow y 2)) (- (* x x) (* y y)))) (/ (+ x y) (* (/ (+ (pow x 2) (pow y 2)) (- (pow x 3) (pow y 3))) (+ (pow x 3) (pow y 3)))) (/ (+ x y) (* (/ (+ (pow x 2) (pow y 2)) (- (pow x 3) (pow y 3))) (- (* x x) (* y y)))) (/ (+ x y) (* (/ (+ (pow x 2) (pow y 2)) (- (* x x) (* y y))) (+ (pow x 3) (pow y 3)))) (/ (+ x y) (* (/ (+ (pow x 2) (pow y 2)) (- (* x x) (* y y))) (- (* x x) (* y y)))) (/ (+ x y) (* (+ (pow x 2) (pow y 2)) (+ (pow x 3) (pow y 3)))) (/ (+ x y) (* (+ (pow x 2) (pow y 2)) (- (* x x) (* y y)))) (/ (+ x y) (* (- (+ (pow x 2) (pow y 2))) (+ (pow x 3) (pow y 3)))) (/ (+ x y) (* (- (+ (pow x 2) (pow y 2))) (- (* x x) (* y y)))) (/ (+ x y) (* 1 (+ (pow x 3) (pow y 3)))) (/ (+ x y) (* 1 (- (* x x) (* y y)))) (/ (+ x y) (* (+ (pow (pow x 2) 3) (pow (pow y 2) 3)) (+ (pow x 3) (pow y 3)))) (/ (+ x y) (* (+ (pow (pow x 2) 3) (pow (pow y 2) 3)) (- (* x x) (* y y)))) (/ (+ x y) (* (- (* (pow x 2) (pow x 2)) (* (pow y 2) (pow y 2))) (+ (pow x 3) (pow y 3)))) (/ (+ x y) (* (- (* (pow x 2) (pow x 2)) (* (pow y 2) (pow y 2))) (- (* x x) (* y y)))) (/ (+ x y) (* (/ (/ (+ (pow x 2) (pow y 2)) (- x y)) (+ x y)) (+ (pow x 3) (pow y 3)))) (/ (+ x y) (* (/ (/ (+ (pow x 2) (pow y 2)) (- x y)) (+ x y)) (- (* x x) (* y y)))) (/ (+ x y) (* (/ (+ (pow x 2) (pow y 2)) (- x y)) (+ x y))) (/ (+ x y) (* (- (/ (+ (pow x 2) (pow y 2)) (- x y))) (+ x y))) (/ (+ x y) (* 1 (+ x y))) (/ (+ x y) (* (+ (pow x 2) (pow y 2)) (+ x y))) (/ (+ x y) (* (/ 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(pow x 2) (pow y 2)) (- (* x x) (* y y))) (* (* (+ x y) (- x y)) (- x y)) (* (- (+ (pow x 2) (pow y 2))) (+ (pow x 3) (pow y 3))) (* (* (+ x y) (- (- x y))) (+ (* x x) (- (* y y) (* x y)))) (* (- (+ (pow x 2) (pow y 2))) (- (* x x) (* y y))) (* (* (+ x y) (- (- x y))) (- x y)) (* 1 (+ (pow x 3) (pow y 3))) (* (* (+ x y) (/ (- x y) (+ (pow x 2) (pow y 2)))) (+ (* x x) (- (* y y) (* x y)))) (* 1 (- (* x x) (* y y))) (* (* (+ x y) (/ (- x y) (+ (pow x 2) (pow y 2)))) (- x y)) (* (+ (pow (pow x 2) 3) (pow (pow y 2) 3)) (+ (pow x 3) (pow y 3))) (* (* (+ x y) (* (- x y) (+ (* (pow x 2) (pow x 2)) (- (* (pow y 2) (pow y 2)) (* (pow x 2) (pow y 2)))))) (+ (* x x) (- (* y y) (* x y)))) (* (+ (pow (pow x 2) 3) (pow (pow y 2) 3)) (- (* x x) (* y y))) (* (* (+ x y) (* (- x y) (+ (* (pow x 2) (pow x 2)) (- (* (pow y 2) (pow y 2)) (* (pow x 2) (pow y 2)))))) (- x y)) (* (- (* (pow x 2) (pow x 2)) (* (pow y 2) (pow y 2))) (+ (pow x 3) (pow y 3))) (* (* (+ x y) (* (- x y) (- (pow x 2) (pow y 2)))) (+ (* x x) (- (* y y) (* x y)))) (* (- (* (pow x 2) (pow x 2)) (* (pow y 2) (pow y 2))) (- (* x x) (* y y))) (* (* (+ x y) (* (- x y) (- (pow x 2) (pow y 2)))) (- x y)) (* (/ (/ (+ (pow x 2) (pow y 2)) (- x y)) (+ x y)) x) (* (/ (/ (+ (pow x 2) (pow y 2)) (- x y)) (+ x y)) y) (* (/ (/ (+ (pow x 2) (pow y 2)) (- x y)) (+ x y)) y) (* (/ (/ (+ (pow x 2) (pow y 2)) (- x y)) (+ x y)) x) (* x (/ (/ (+ (pow x 2) (pow y 2)) (- x y)) (+ x y))) (* y (/ (/ (+ (pow x 2) (pow y 2)) (- x y)) (+ x y))) (* y (/ (/ (+ (pow x 2) (pow y 2)) (- x y)) (+ x y))) (* x (/ (/ (+ (pow x 2) (pow y 2)) (- x y)) (+ x y))) (* (/ 1 (+ x y)) (+ x y)) (* (+ (* x x) (- (* y y) (* x y))) (+ x y)) (* (- x y) (+ x y)) (* (/ (/ (+ (pow x 2) (pow y 2)) (- x y)) (+ x y)) (+ (pow x 3) (pow y 3))) (* (/ (/ (+ (pow x 2) (pow y 2)) (- x y)) (+ x y)) (- (* x x) (* y y))) (* (/ (+ (pow x 2) (pow y 2)) (- x y)) (+ x y)) (* (- (/ (+ (pow x 2) (pow y 2)) (- x y))) (+ x y)) (* 1 (+ x y)) (* (+ (pow x 2) (pow y 2)) (+ x y)) (* (/ (+ (pow x 2) (pow y 2)) (- (pow x 3) (pow y 3))) (+ x y)) (* (/ (+ (pow x 2) (pow y 2)) (- (* x x) (* y y))) (+ x y)) (* (+ (pow x 2) (pow y 2)) (+ x y)) (* (- (+ (pow x 2) (pow y 2))) (+ x y)) (* 1 (+ x y)) (* (+ (pow (pow x 2) 3) (pow (pow y 2) 3)) (+ x y)) (* (- (* (pow x 2) (pow x 2)) (* (pow y 2) (pow y 2))) (+ x y)) (+ (pow (pow x 2) 3) (pow (pow y 2) 3)) (+ (* (pow x 2) (pow x 2)) (- (* (pow y 2) (pow y 2)) (* (pow x 2) (pow y 2)))) (- (* (pow x 2) (pow x 2)) (* (pow y 2) (pow y 2))) (- (pow x 2) (pow y 2)) (- (+ x y)) (+ x y) (+ x y) -1 1 1 (- (+ x y)) (+ x y) (+ x y) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.943 * * [simplify]: iteration 0 : 601 enodes (cost 1015 ) 0.959 * * [simplify]: iteration 1 : 4363 enodes (cost 893 ) 1.069 * * [simplify]: iteration 2 : 5001 enodes (cost 893 ) 1.075 * [simplify]: Simplified to: (- (+ (pow x 2) (pow y 2))) (- (- x y)) (/ 1 (- x y)) (/ (- x y) (+ (pow x 2) (pow y 2))) (/ (+ (pow x 2) (pow y 2)) (- (pow x 3) (pow y 3))) (/ (/ (+ (pow x 2) (pow y 2)) (- x y)) (+ x y)) (* (- (+ (pow x 4) (pow y 4)) (* (pow x 2) (pow y 2))) (- x y)) (* (* (+ x y) (- x y)) (- x y)) (- (+ x y)) (- (/ (+ (pow x 2) (pow y 2)) (- x y))) (/ 1 (/ (+ (pow x 2) (pow y 2)) (- x y))) (/ (/ (+ (pow x 2) (pow y 2)) (- x y)) (+ x y)) (/ (+ x y) (/ (/ (+ (pow x 2) (pow y 2)) (- x y)) (+ x y))) (* (+ x y) (/ (- x y) (+ (pow x 2) (pow y 2)))) (/ (+ x y) (/ (/ (+ (pow x 2) (pow y 2)) (- x y)) (+ (pow x 3) (pow y 3)))) (/ (+ x y) (/ (/ (+ (pow x 2) (pow y 2)) (- x y)) (- (* x x) (* y y)))) 1 (/ (+ x y) (* (/ (+ (pow x 2) (pow y 2)) (- x y)) (+ (pow x 3) (pow y 3)))) (* (/ (+ x y) (+ (pow x 4) (- (pow y 4)))) (- x y)) (/ (+ x y) (* (- (/ (+ (pow x 2) (pow y 2)) (- x y))) (+ (pow x 3) (pow y 3)))) (/ (+ x y) (/ (- (+ (pow x 4) (- (pow y 4)))) (- x y))) (/ (+ x y) (+ (pow x 3) (pow y 3))) (/ 1 (- x y)) (/ (+ x y) (* (+ (pow x 2) (pow y 2)) (+ (pow x 3) (pow y 3)))) (/ (+ x y) (+ (pow x 4) (- (pow y 4)))) (/ (+ x y) (* (/ (+ (pow x 2) 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y)) y) (* (/ (/ (+ (pow x 2) (pow y 2)) (- x y)) (+ x y)) y) (* (/ (/ (+ (pow x 2) (pow y 2)) (- x y)) (+ x y)) x) 1 (* (+ (* y (- y x)) (pow x 2)) (+ x y)) (- (* x x) (* y y)) (* (/ (/ (+ (pow x 2) (pow y 2)) (- x y)) (+ x y)) (+ (pow x 3) (pow y 3))) (* (- x y) (/ (+ (pow x 2) (pow y 2)) (- x y))) (* (/ (+ (pow x 2) (pow y 2)) (- x y)) (+ x y)) (* (- (/ (+ (pow x 2) (pow y 2)) (- x y))) (+ x y)) (+ x y) (* (+ (pow x 2) (pow y 2)) (+ x y)) (* (/ (+ (pow x 2) (pow y 2)) (- (pow x 3) (pow y 3))) (+ x y)) (/ (+ (pow x 2) (pow y 2)) (- x y)) (* (+ (pow x 2) (pow y 2)) (+ x y)) (* (- (+ (pow x 2) (pow y 2))) (+ x y)) (+ x y) (* (+ (pow (pow x 2) 3) (pow (pow y 2) 3)) (+ x y)) (* (+ x y) (+ (pow x 4) (- (pow y 4)))) (+ (pow (pow x 2) 3) (pow (pow y 2) 3)) (- (+ (pow x 4) (pow y 4)) (* (pow x 2) (pow y 2))) (+ (pow x 4) (- (pow y 4))) (- (* x x) (* y y)) (- (+ x y)) (+ x y) (+ x y) -1 1 1 (- (+ x y)) (+ x y) (+ x y) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 1.075 * * * [progress]: adding candidates to table 1.410 * * [progress]: iteration 4 / 4 1.410 * * * [progress]: picking best candidate 1.412 * * * * [pick]: Picked # 1.412 * * * [progress]: localizing error 1.416 * * * [progress]: generating rewritten candidates 1.416 * * * [progress]: generating series expansions 1.416 * * * [progress]: simplifying candidates 1.416 * [simplify]: Simplifying using # : 1.418 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 1.418 * [simplify]: Simplified to: 1.418 * * * [progress]: adding candidates to table 1.419 * [progress]: [Phase 3 of 3] Extracting. 1.419 * * [regime]: Finding splitpoints for: (# # # #) 1.419 * * * [regime-changes]: Trying 3 branch expressions: ((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) y x) 1.419 * * * * [regimes]: Trying to branch on (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) from (# # # #) 1.434 * * * * [regimes]: Trying to branch on y from (# # # #) 1.466 * * * * [regimes]: Trying to branch on x from (# # # #) 1.502 * * * [regime]: Found split indices: #