20.205 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.018 * * * [progress]: [2/2] Setting up program. 0.020 * [progress]: [Phase 2 of 3] Improving. 0.021 * [simplify]: Simplifying using # : (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 0.023 * * [simplify]: iteration 0 : 23 enodes (cost 6 ) 0.024 * * [simplify]: iteration 1 : 52 enodes (cost 6 ) 0.026 * * [simplify]: iteration 2 : 117 enodes (cost 6 ) 0.028 * * [simplify]: iteration 3 : 240 enodes (cost 6 ) 0.032 * * [simplify]: iteration 4 : 478 enodes (cost 6 ) 0.038 * * [simplify]: iteration 5 : 947 enodes (cost 6 ) 0.050 * * [simplify]: iteration 6 : 1844 enodes (cost 6 ) 0.088 * * [simplify]: iteration 7 : 5001 enodes (cost 6 ) 0.088 * [simplify]: Simplified to: (/ (- x y) (/ (fma x x (* y y)) (+ x y))) 0.092 * * [progress]: iteration 1 / 4 0.092 * * * [progress]: picking best candidate 0.095 * * * * [pick]: Picked # 0.095 * * * [progress]: localizing error 0.103 * * * [progress]: generating rewritten candidates 0.103 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.116 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.121 * * * [progress]: generating series expansions 0.121 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.121 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0 0.121 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 0.121 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 0.121 * [taylor]: Taking taylor expansion of (+ x y) in y 0.121 * [taylor]: Taking taylor expansion of x in y 0.121 * [taylor]: Taking taylor expansion of y in y 0.121 * [taylor]: Taking taylor expansion of (- x y) in y 0.121 * [taylor]: Taking taylor expansion of x in y 0.121 * [taylor]: Taking taylor expansion of y in y 0.121 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.121 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.121 * [taylor]: Taking taylor expansion of x in y 0.121 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.121 * [taylor]: Taking taylor expansion of y in y 0.122 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.122 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.122 * [taylor]: Taking taylor expansion of (+ x y) in x 0.122 * [taylor]: Taking taylor expansion of x in x 0.122 * [taylor]: Taking taylor expansion of y in x 0.122 * [taylor]: Taking taylor expansion of (- x y) in x 0.122 * [taylor]: Taking taylor expansion of x in x 0.122 * [taylor]: Taking taylor expansion of y in x 0.122 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.122 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.122 * [taylor]: Taking taylor expansion of x in x 0.122 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.122 * [taylor]: Taking taylor expansion of y in x 0.122 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.122 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.122 * [taylor]: Taking taylor expansion of (+ x y) in x 0.122 * [taylor]: Taking taylor expansion of x in x 0.123 * [taylor]: Taking taylor expansion of y in x 0.123 * [taylor]: Taking taylor expansion of (- x y) in x 0.123 * [taylor]: Taking taylor expansion of x in x 0.123 * [taylor]: Taking taylor expansion of y in x 0.123 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.123 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.123 * [taylor]: Taking taylor expansion of x in x 0.123 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.123 * [taylor]: Taking taylor expansion of y in x 0.123 * [taylor]: Taking taylor expansion of -1 in y 0.124 * [taylor]: Taking taylor expansion of 0 in y 0.126 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.126 * [taylor]: Taking taylor expansion of 2 in y 0.126 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.126 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.126 * [taylor]: Taking taylor expansion of y in y 0.132 * [taylor]: Taking taylor expansion of 0 in y 0.132 * [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 0.132 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.132 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.132 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.132 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.132 * [taylor]: Taking taylor expansion of x in y 0.132 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.132 * [taylor]: Taking taylor expansion of y in y 0.133 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.133 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.133 * [taylor]: Taking taylor expansion of y in y 0.133 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.133 * [taylor]: Taking taylor expansion of x in y 0.133 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.133 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.133 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.133 * [taylor]: Taking taylor expansion of x in y 0.133 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.133 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.133 * [taylor]: Taking taylor expansion of y in y 0.135 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.135 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.135 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.135 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.135 * [taylor]: Taking taylor expansion of x in x 0.135 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.136 * [taylor]: Taking taylor expansion of y in x 0.136 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.136 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.136 * [taylor]: Taking taylor expansion of y in x 0.136 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.136 * [taylor]: Taking taylor expansion of x in x 0.136 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.136 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.136 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.136 * [taylor]: Taking taylor expansion of x in x 0.136 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.136 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.137 * [taylor]: Taking taylor expansion of y in x 0.138 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.138 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.138 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.138 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.138 * [taylor]: Taking taylor expansion of x in x 0.138 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.138 * [taylor]: Taking taylor expansion of y in x 0.138 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.138 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.139 * [taylor]: Taking taylor expansion of y in x 0.139 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.139 * [taylor]: Taking taylor expansion of x in x 0.139 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.139 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.139 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.139 * [taylor]: Taking taylor expansion of x in x 0.139 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.139 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.139 * [taylor]: Taking taylor expansion of y in x 0.141 * [taylor]: Taking taylor expansion of 1 in y 0.143 * [taylor]: Taking taylor expansion of 0 in y 0.147 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.147 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.147 * [taylor]: Taking taylor expansion of 2 in y 0.148 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.148 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.148 * [taylor]: Taking taylor expansion of y in y 0.156 * [taylor]: Taking taylor expansion of 0 in y 0.156 * [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 0.156 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.156 * [taylor]: Taking taylor expansion of -1 in y 0.156 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.156 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.156 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.156 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.156 * [taylor]: Taking taylor expansion of y in y 0.157 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.157 * [taylor]: Taking taylor expansion of x in y 0.157 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.157 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.157 * [taylor]: Taking taylor expansion of y in y 0.157 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.157 * [taylor]: Taking taylor expansion of x in y 0.157 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.157 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.157 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.157 * [taylor]: Taking taylor expansion of x 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 0.159 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.159 * [taylor]: Taking taylor expansion of -1 in x 0.159 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.159 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.159 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.159 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.159 * [taylor]: Taking taylor expansion of y in x 0.159 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.159 * [taylor]: Taking taylor expansion of x in x 0.159 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.159 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.159 * [taylor]: Taking taylor expansion of y in x 0.159 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.159 * [taylor]: Taking taylor expansion of x in x 0.160 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.160 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.160 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.160 * [taylor]: Taking taylor expansion of x in x 0.160 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.160 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.160 * [taylor]: Taking taylor expansion of y in x 0.162 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.162 * [taylor]: Taking taylor expansion of -1 in x 0.162 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.162 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.162 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.162 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.162 * [taylor]: Taking taylor expansion of y in x 0.162 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.162 * [taylor]: Taking taylor expansion of x in x 0.162 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.162 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.162 * [taylor]: Taking taylor expansion of y in x 0.162 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.162 * [taylor]: Taking taylor expansion of x in x 0.163 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.163 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.163 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.163 * [taylor]: Taking taylor expansion of x in x 0.163 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.163 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.163 * [taylor]: Taking taylor expansion of y in x 0.165 * [taylor]: Taking taylor expansion of 1 in y 0.168 * [taylor]: Taking taylor expansion of 0 in y 0.173 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.173 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.173 * [taylor]: Taking taylor expansion of 2 in y 0.173 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.173 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.173 * [taylor]: Taking taylor expansion of y in y 0.182 * [taylor]: Taking taylor expansion of 0 in y 0.182 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.182 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.182 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 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 (pow y 2) in y 0.182 * [taylor]: Taking taylor expansion of y in y 0.182 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 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 0.182 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.182 * [taylor]: Taking taylor expansion of y in x 0.182 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 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 0.182 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.182 * [taylor]: Taking taylor expansion of y in x 0.182 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.182 * [taylor]: Taking taylor expansion of y in y 0.183 * [taylor]: Taking taylor expansion of 0 in y 0.183 * [taylor]: Taking taylor expansion of 1 in y 0.185 * [taylor]: Taking taylor expansion of 0 in y 0.187 * [taylor]: Taking taylor expansion of 0 in y 0.187 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.187 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.187 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.187 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.187 * [taylor]: Taking taylor expansion of x in y 0.187 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.187 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.187 * [taylor]: Taking taylor expansion of y in y 0.188 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.188 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.188 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.188 * [taylor]: Taking taylor expansion of x in x 0.189 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.189 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.189 * [taylor]: Taking taylor expansion of y in x 0.189 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.189 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.189 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.189 * [taylor]: Taking taylor expansion of x in x 0.189 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.189 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.189 * [taylor]: Taking taylor expansion of y in x 0.190 * [taylor]: Taking taylor expansion of 1 in y 0.191 * [taylor]: Taking taylor expansion of 0 in y 0.192 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.192 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.192 * [taylor]: Taking taylor expansion of y in y 0.194 * [taylor]: Taking taylor expansion of 0 in y 0.197 * [taylor]: Taking taylor expansion of 0 in y 0.198 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.198 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.198 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.198 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.198 * [taylor]: Taking taylor expansion of x in y 0.198 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.198 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.198 * [taylor]: Taking taylor expansion of y in y 0.199 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.199 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.199 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.199 * [taylor]: Taking taylor expansion of x in x 0.204 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.204 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.204 * [taylor]: Taking taylor expansion of y in x 0.205 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.205 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.205 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.205 * [taylor]: Taking taylor expansion of x in x 0.205 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.205 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.205 * [taylor]: Taking taylor expansion of y in x 0.206 * [taylor]: Taking taylor expansion of 1 in y 0.207 * [taylor]: Taking taylor expansion of 0 in y 0.208 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.208 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.208 * [taylor]: Taking taylor expansion of y in y 0.210 * [taylor]: Taking taylor expansion of 0 in y 0.212 * [taylor]: Taking taylor expansion of 0 in y 0.214 * * * [progress]: simplifying candidates 0.214 * [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)) 0.217 * * [simplify]: iteration 0 : 178 enodes (cost 132 ) 0.221 * * [simplify]: iteration 1 : 867 enodes (cost 125 ) 0.237 * * [simplify]: iteration 2 : 4054 enodes (cost 115 ) 0.305 * * [simplify]: iteration 3 : 5001 enodes (cost 113 ) 0.307 * [simplify]: Simplified to: (- (pow y 2) (pow x 2)) (- (+ (* x x) (* y y))) (/ 1 (+ (* x x) (* y y))) (/ (fma x x (* y y)) (- (* x x) (* y 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))) (/ 1 (+ (* x x) (* y y))) (* (fma y (- y x) (pow x 2)) (* (fma x x (fma y y (* x y))) (fma x x (* y y)))) (* (* (- x y) (fma x x (fma y y (* x y)))) (fma x x (* y y))) (* (fma y (- y x) (pow x 2)) (* (+ x y) (fma x x (* y y)))) (fma (- (pow y 3)) y (pow x 4)) (* (fma x x (- (* y y) (* x y))) (fma x x (* y y))) (* (- x y) (fma x x (* y y))) (* (fma x x (fma y y (* x y))) (fma x x (* y y))) (* (+ x y) (fma x x (* y y))) (fma y (pow y 5) (pow x 6)) (fma (fma y y (* x y)) (* y (- y x)) (pow x 4)) (fma (- (pow y 3)) y (pow x 4)) (- (* x x) (* y y)) -1 1 1 (fma x x (* y y)) (fma x x (* y y)) (fma x x (* y y)) 0.307 * * * [progress]: adding candidates to table 0.371 * * [progress]: iteration 2 / 4 0.371 * * * [progress]: picking best candidate 0.375 * * * * [pick]: Picked # 0.375 * * * [progress]: localizing error 0.384 * * * [progress]: generating rewritten candidates 0.384 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 0.390 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 0.398 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1) 0.403 * * * [progress]: generating series expansions 0.403 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 0.403 * [approximate]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (- x y)) in (x y) around 0 0.403 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (- x y)) in y 0.403 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 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 (pow y 2) in y 0.403 * [taylor]: Taking taylor expansion of y in y 0.403 * [taylor]: Taking taylor expansion of (- x y) in y 0.403 * [taylor]: Taking taylor expansion of x in y 0.403 * [taylor]: Taking taylor expansion of y in y 0.404 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (- x y)) in x 0.404 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 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 0.404 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.404 * [taylor]: Taking taylor expansion of y in x 0.404 * [taylor]: Taking taylor expansion of (- x y) in x 0.404 * [taylor]: Taking taylor expansion of x in x 0.404 * [taylor]: Taking taylor expansion of y in x 0.404 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (- x y)) in x 0.404 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 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 0.404 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.404 * [taylor]: Taking taylor expansion of y in x 0.404 * [taylor]: Taking taylor expansion of (- x y) in x 0.404 * [taylor]: Taking taylor expansion of x in x 0.404 * [taylor]: Taking taylor expansion of y in x 0.404 * [taylor]: Taking taylor expansion of (* -1 y) in y 0.404 * [taylor]: Taking taylor expansion of -1 in y 0.405 * [taylor]: Taking taylor expansion of y in y 0.406 * [taylor]: Taking taylor expansion of (- 1) in y 0.406 * [taylor]: Taking taylor expansion of 1 in y 0.408 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y 0.408 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 0.408 * [taylor]: Taking taylor expansion of 2 in y 0.408 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.408 * [taylor]: Taking taylor expansion of y in y 0.412 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.412 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.412 * [taylor]: Taking taylor expansion of 2 in y 0.412 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.412 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.412 * [taylor]: Taking taylor expansion of y in y 0.417 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (- (/ 1 x) (/ 1 y))) in (x y) around 0 0.417 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (- (/ 1 x) (/ 1 y))) in y 0.417 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.417 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.417 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.417 * [taylor]: Taking taylor expansion of x in y 0.418 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.418 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.418 * [taylor]: Taking taylor expansion of y in y 0.418 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.418 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.418 * [taylor]: Taking taylor expansion of x in y 0.418 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.418 * [taylor]: Taking taylor expansion of y in y 0.419 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (- (/ 1 x) (/ 1 y))) in x 0.419 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.419 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.419 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.419 * [taylor]: Taking taylor expansion of x in x 0.420 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.420 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.420 * [taylor]: Taking taylor expansion of y in x 0.420 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.420 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.420 * [taylor]: Taking taylor expansion of x in x 0.420 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.420 * [taylor]: Taking taylor expansion of y in x 0.421 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (- (/ 1 x) (/ 1 y))) in x 0.421 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.421 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.421 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.421 * [taylor]: Taking taylor expansion of x in x 0.422 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.422 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.422 * [taylor]: Taking taylor expansion of y in x 0.422 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.422 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.422 * [taylor]: Taking taylor expansion of x in x 0.422 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.422 * [taylor]: Taking taylor expansion of y in x 0.423 * [taylor]: Taking taylor expansion of 1 in y 0.425 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.425 * [taylor]: Taking taylor expansion of y in y 0.428 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.428 * [taylor]: Taking taylor expansion of 2 in y 0.428 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.428 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.428 * [taylor]: Taking taylor expansion of y in y 0.437 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 0.437 * [taylor]: Taking taylor expansion of 2 in y 0.437 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.438 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.438 * [taylor]: Taking taylor expansion of y in y 0.444 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (- (/ 1 y) (/ 1 x))) in (x y) around 0 0.444 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (- (/ 1 y) (/ 1 x))) in y 0.444 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.444 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.444 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.444 * [taylor]: Taking taylor expansion of x in y 0.444 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.444 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.444 * [taylor]: Taking taylor expansion of y in y 0.445 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.445 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.445 * [taylor]: Taking taylor expansion of y in y 0.445 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.445 * [taylor]: Taking taylor expansion of x in y 0.446 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (- (/ 1 y) (/ 1 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 0.446 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.446 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.447 * [taylor]: Taking taylor expansion of y in x 0.447 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.447 * [taylor]: Taking taylor expansion of x in x 0.448 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (- (/ 1 y) (/ 1 x))) in x 0.448 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.448 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.448 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.448 * [taylor]: Taking taylor expansion of x in x 0.448 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.448 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.448 * [taylor]: Taking taylor expansion of y in x 0.449 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.449 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.449 * [taylor]: Taking taylor expansion of y in x 0.449 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.449 * [taylor]: Taking taylor expansion of x in x 0.450 * [taylor]: Taking taylor expansion of -1 in y 0.452 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.452 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.452 * [taylor]: Taking taylor expansion of y in y 0.456 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.456 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.456 * [taylor]: Taking taylor expansion of 2 in y 0.456 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.456 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.456 * [taylor]: Taking taylor expansion of y in y 0.462 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 3)))) in y 0.462 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 0.462 * [taylor]: Taking taylor expansion of 2 in y 0.462 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.462 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.462 * [taylor]: Taking taylor expansion of y in y 0.469 * * * * [progress]: [ 2 / 3 ] generating series at (2) 0.469 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0 0.469 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 0.469 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 0.469 * [taylor]: Taking taylor expansion of (+ x y) in y 0.469 * [taylor]: Taking taylor expansion of x in y 0.469 * [taylor]: Taking taylor expansion of y in y 0.469 * [taylor]: Taking taylor expansion of (- x y) in y 0.469 * [taylor]: Taking taylor expansion of x in y 0.469 * [taylor]: Taking taylor expansion of y in y 0.469 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.469 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.469 * [taylor]: Taking taylor expansion of x in y 0.469 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.469 * [taylor]: Taking taylor expansion of y in y 0.470 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.470 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.470 * [taylor]: Taking taylor expansion of (+ x y) in x 0.470 * [taylor]: Taking taylor expansion of x in x 0.470 * [taylor]: Taking taylor expansion of y in x 0.470 * [taylor]: Taking taylor expansion of (- x y) in x 0.470 * [taylor]: Taking taylor expansion of x in x 0.470 * [taylor]: Taking taylor expansion of y in x 0.470 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.470 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.470 * [taylor]: Taking taylor expansion of x in x 0.470 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.470 * [taylor]: Taking taylor expansion of y in x 0.470 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.470 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.470 * [taylor]: Taking taylor expansion of (+ x y) in x 0.470 * [taylor]: Taking taylor expansion of x in x 0.470 * [taylor]: Taking taylor expansion of y in x 0.470 * [taylor]: Taking taylor expansion of (- x y) in x 0.470 * [taylor]: Taking taylor expansion of x in x 0.470 * [taylor]: Taking taylor expansion of y in x 0.470 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.470 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.471 * [taylor]: Taking taylor expansion of x in x 0.471 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.471 * [taylor]: Taking taylor expansion of y in x 0.471 * [taylor]: Taking taylor expansion of -1 in y 0.472 * [taylor]: Taking taylor expansion of 0 in y 0.474 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.474 * [taylor]: Taking taylor expansion of 2 in y 0.474 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.474 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.474 * [taylor]: Taking taylor expansion of y in y 0.480 * [taylor]: Taking taylor expansion of 0 in y 0.480 * [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 0.480 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.480 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.480 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.480 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.480 * [taylor]: Taking taylor expansion of x in y 0.480 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.480 * [taylor]: Taking taylor expansion of y in y 0.480 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.480 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.480 * [taylor]: Taking taylor expansion of y in y 0.481 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.481 * [taylor]: Taking taylor expansion of x in y 0.481 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.481 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.481 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.481 * [taylor]: Taking taylor expansion of x in y 0.481 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.481 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.481 * [taylor]: Taking taylor expansion of y in y 0.483 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.483 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.483 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.483 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.483 * [taylor]: Taking taylor expansion of x in x 0.483 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.483 * [taylor]: Taking taylor expansion of y in x 0.483 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.483 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.483 * [taylor]: Taking taylor expansion of y in x 0.483 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.483 * [taylor]: Taking taylor expansion of x in x 0.484 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.484 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.484 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.484 * [taylor]: Taking taylor expansion of x in x 0.484 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.484 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.484 * [taylor]: Taking taylor expansion of y in x 0.485 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.485 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.485 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.485 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.485 * [taylor]: Taking taylor expansion of x in x 0.486 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.486 * [taylor]: Taking taylor expansion of y in x 0.486 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.486 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.486 * [taylor]: Taking taylor expansion of y in x 0.486 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.486 * [taylor]: Taking taylor expansion of x in x 0.486 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.486 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.486 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.486 * [taylor]: Taking taylor expansion of x in x 0.487 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.487 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.487 * [taylor]: Taking taylor expansion of y in x 0.488 * [taylor]: Taking taylor expansion of 1 in y 0.491 * [taylor]: Taking taylor expansion of 0 in y 0.495 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.495 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.495 * [taylor]: Taking taylor expansion of 2 in y 0.495 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.495 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.495 * [taylor]: Taking taylor expansion of y in y 0.503 * [taylor]: Taking taylor expansion of 0 in y 0.503 * [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 0.503 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.503 * [taylor]: Taking taylor expansion of -1 in y 0.503 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.503 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.503 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.503 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.503 * [taylor]: Taking taylor expansion of y in y 0.504 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.504 * [taylor]: Taking taylor expansion of x in y 0.504 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.504 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.504 * [taylor]: Taking taylor expansion of y in y 0.504 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.504 * [taylor]: Taking taylor expansion of x in y 0.504 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.504 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.504 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.504 * [taylor]: Taking taylor expansion of x in y 0.504 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.504 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.504 * [taylor]: Taking taylor expansion of y in y 0.506 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.506 * [taylor]: Taking taylor expansion of -1 in x 0.506 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.506 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.506 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.506 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.506 * [taylor]: Taking taylor expansion of y in x 0.506 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.506 * [taylor]: Taking taylor expansion of x in x 0.506 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.506 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.506 * [taylor]: Taking taylor expansion of y in x 0.506 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.506 * [taylor]: Taking taylor expansion of x in x 0.507 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.507 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.507 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.507 * [taylor]: Taking taylor expansion of x in x 0.507 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.507 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.507 * [taylor]: Taking taylor expansion of y in x 0.509 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.509 * [taylor]: Taking taylor expansion of -1 in x 0.509 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.509 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.509 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.509 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.509 * [taylor]: Taking taylor expansion of y in x 0.509 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.509 * [taylor]: Taking taylor expansion of x in x 0.509 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.509 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.509 * [taylor]: Taking taylor expansion of y in x 0.509 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.509 * [taylor]: Taking taylor expansion of x in x 0.510 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.510 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.510 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.510 * [taylor]: Taking taylor expansion of x in x 0.510 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.510 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.510 * [taylor]: Taking taylor expansion of y in x 0.512 * [taylor]: Taking taylor expansion of 1 in y 0.515 * [taylor]: Taking taylor expansion of 0 in y 0.524 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.524 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.524 * [taylor]: Taking taylor expansion of 2 in y 0.524 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.524 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.524 * [taylor]: Taking taylor expansion of y in y 0.533 * [taylor]: Taking taylor expansion of 0 in y 0.533 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1) 0.533 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.533 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.533 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.533 * [taylor]: Taking taylor expansion of x in y 0.533 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.533 * [taylor]: Taking taylor expansion of y in y 0.533 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.533 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.533 * [taylor]: Taking taylor expansion of x in x 0.533 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.533 * [taylor]: Taking taylor expansion of y in x 0.533 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.533 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.533 * [taylor]: Taking taylor expansion of x in x 0.533 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.533 * [taylor]: Taking taylor expansion of y in x 0.534 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.534 * [taylor]: Taking taylor expansion of y in y 0.534 * [taylor]: Taking taylor expansion of 0 in y 0.535 * [taylor]: Taking taylor expansion of 1 in y 0.536 * [taylor]: Taking taylor expansion of 0 in y 0.538 * [taylor]: Taking taylor expansion of 0 in y 0.538 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.538 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.538 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.538 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.538 * [taylor]: Taking taylor expansion of x in y 0.539 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.539 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.539 * [taylor]: Taking taylor expansion of y in y 0.539 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.539 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.539 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.539 * [taylor]: Taking taylor expansion of x in x 0.540 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.540 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.540 * [taylor]: Taking taylor expansion of y in x 0.540 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.540 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.540 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.540 * [taylor]: Taking taylor expansion of x in x 0.540 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.540 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.540 * [taylor]: Taking taylor expansion of y in x 0.541 * [taylor]: Taking taylor expansion of 1 in y 0.542 * [taylor]: Taking taylor expansion of 0 in y 0.543 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.543 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.543 * [taylor]: Taking taylor expansion of y in y 0.545 * [taylor]: Taking taylor expansion of 0 in y 0.548 * [taylor]: Taking taylor expansion of 0 in y 0.550 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.550 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.550 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.550 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.550 * [taylor]: Taking taylor expansion of x in y 0.550 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.550 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.550 * [taylor]: Taking taylor expansion of y in y 0.550 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.550 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.550 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.550 * [taylor]: Taking taylor expansion of x in x 0.551 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.551 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.551 * [taylor]: Taking taylor expansion of y in x 0.551 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.551 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.551 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.551 * [taylor]: Taking taylor expansion of x in x 0.552 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.552 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.552 * [taylor]: Taking taylor expansion of y in x 0.552 * [taylor]: Taking taylor expansion of 1 in y 0.553 * [taylor]: Taking taylor expansion of 0 in y 0.554 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.554 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.554 * [taylor]: Taking taylor expansion of y in y 0.556 * [taylor]: Taking taylor expansion of 0 in y 0.559 * [taylor]: Taking taylor expansion of 0 in y 0.561 * * * [progress]: simplifying candidates 0.561 * [simplify]: Simplifying using # : (- (+ (* x x) (* y y))) (- (- x y)) (/ 1 (- x y)) (/ (- x y) (+ (* x x) (* y y))) (/ (+ (* x x) (* y y)) (- (pow x 3) (pow y 3))) (/ (+ (* x x) (* y y)) (- (* x x) (* y y))) (* (- x y) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (* (- x y) (- (* x x) (* y y))) (- (+ x y)) (- (/ (+ (* x x) (* y y)) (- x y))) (/ 1 (/ (+ (* x x) (* y y)) (- x y))) (/ (/ (+ (* x x) (* y y)) (- x y)) (+ x y)) (/ (+ x y) (+ (* x x) (* y y))) (/ (+ x y) (/ (+ (* x x) (* y y)) (- (pow x 3) (pow y 3)))) (/ (+ x y) (/ (+ (* x x) (* y y)) (- (* x x) (* y y)))) (/ (+ x y) (+ (* x x) (* y y))) (/ (+ x y) (- (+ (* x x) (* y y)))) (/ (+ x y) 1) (/ (+ x y) (+ (pow (* x x) 3) (pow (* y y) 3))) (/ (+ x y) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (* (/ (+ (* x x) (* y y)) (- x y)) (+ (* x x) (- (* y y) (* x y)))) (* (/ (+ (* x x) (* y y)) (- x 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)) (- (+ 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)) 0.564 * * [simplify]: iteration 0 : 157 enodes (cost 160 ) 0.568 * * [simplify]: iteration 1 : 627 enodes (cost 151 ) 0.579 * * [simplify]: iteration 2 : 2415 enodes (cost 141 ) 0.628 * * [simplify]: iteration 3 : 5001 enodes (cost 137 ) 0.629 * [simplify]: Simplified to: (- (+ (* x x) (* y y))) (- y x) (/ 1 (- x y)) (* (/ 1 (fma x x (* y y))) (- x y)) (/ (+ (* x x) (* y y)) (- (pow x 3) (pow y 3))) (/ (fma x x (* y y)) (* (+ x y) (- x y))) (* (fma y (- (pow y 3) (* (pow x 2) y)) (pow x 4)) (+ x (- y))) (* (- x y) (- (* x x) (* y y))) (- (+ x y)) (- (/ (+ (* x x) (* y y)) (- x y))) (* (/ 1 (fma x x (* y y))) (- x y)) (/ (fma x x (* y y)) (* (+ x y) (- x y))) (/ (+ x y) (fma x x (* y y))) (/ (* (+ x y) (- (pow x 3) (pow y 3))) (fma x x (* y y))) (/ (* (+ x y) (- (* x x) (* y y))) (fma x x (* y y))) (/ (+ x y) (fma x x (* y y))) (/ (+ x y) (- (+ (* x x) (* y y)))) (+ x y) (* (+ x y) (/ 1 (fma y (pow y 5) (pow x 6)))) (/ (+ x y) (fma (- (pow y 3)) y (pow x 4))) (/ (* (fma y (- y x) (pow x 2)) (fma x x (* y y))) (- x y)) (fma x x (* y y)) (fma y (pow y 5) (pow x 6)) (fma y (- (pow y 3) (* (pow x 2) y)) (pow x 4)) (fma (- (pow y 3)) y (pow x 4)) (- (* x x) (* y y)) (- (+ x y)) (+ x y) (+ x y) -1 1 1 (fma x x (* y y)) (fma x x (* y y)) (fma x x (* y y)) 0.629 * * * [progress]: adding candidates to table 0.701 * * [progress]: iteration 3 / 4 0.701 * * * [progress]: picking best candidate 0.704 * * * * [pick]: Picked # 0.704 * * * [progress]: localizing error 0.708 * * * [progress]: generating rewritten candidates 0.708 * * * [progress]: generating series expansions 0.708 * * * [progress]: simplifying candidates 0.708 * [simplify]: Simplifying using # : 0.713 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.713 * [simplify]: Simplified to: 0.713 * * * [progress]: adding candidates to table 0.714 * * [progress]: iteration 4 / 4 0.714 * * * [progress]: picking best candidate 0.716 * * * * [pick]: Picked # 0.716 * * * [progress]: localizing error 0.724 * * * [progress]: generating rewritten candidates 0.724 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.734 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.739 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 0.743 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.749 * * * [progress]: generating series expansions 0.749 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.750 * [approximate]: Taking taylor expansion of (/ (- (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2))) in (x y) around 0 0.750 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2))) in y 0.750 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 0.750 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.750 * [taylor]: Taking taylor expansion of x in y 0.750 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.750 * [taylor]: Taking taylor expansion of y in y 0.750 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.750 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.750 * [taylor]: Taking taylor expansion of x in y 0.750 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.750 * [taylor]: Taking taylor expansion of y in y 0.750 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2))) in x 0.750 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.750 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.750 * [taylor]: Taking taylor expansion of x in x 0.750 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.750 * [taylor]: Taking taylor expansion of y in x 0.750 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.750 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.750 * [taylor]: Taking taylor expansion of x in x 0.750 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.750 * [taylor]: Taking taylor expansion of y in x 0.751 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2))) in x 0.751 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.751 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.751 * [taylor]: Taking taylor expansion of x in x 0.751 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.751 * [taylor]: Taking taylor expansion of y in x 0.751 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.751 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.751 * [taylor]: Taking taylor expansion of x in x 0.751 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.751 * [taylor]: Taking taylor expansion of y in x 0.751 * [taylor]: Taking taylor expansion of -1 in y 0.753 * [taylor]: Taking taylor expansion of 0 in y 0.755 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.755 * [taylor]: Taking taylor expansion of 2 in y 0.755 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.755 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.755 * [taylor]: Taking taylor expansion of y in y 0.760 * [taylor]: Taking taylor expansion of 0 in y 0.761 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.761 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 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 (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 0.762 * [taylor]: Taking taylor expansion of y in y 0.763 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.763 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.763 * [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 0.764 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.764 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.764 * [taylor]: Taking taylor expansion of y 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 0.764 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.764 * [taylor]: Taking taylor expansion of x in x 0.764 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.764 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.764 * [taylor]: Taking taylor expansion of y in x 0.765 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.765 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.765 * [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 0.766 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.766 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.766 * [taylor]: Taking taylor expansion of y in x 0.766 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.766 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.766 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.766 * [taylor]: Taking taylor expansion of x in x 0.766 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.766 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.766 * [taylor]: Taking taylor expansion of y in x 0.767 * [taylor]: Taking taylor expansion of 1 in y 0.770 * [taylor]: Taking taylor expansion of 0 in y 0.773 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.773 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.773 * [taylor]: Taking taylor expansion of 2 in y 0.773 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.773 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.773 * [taylor]: Taking taylor expansion of y in y 0.780 * [taylor]: Taking taylor expansion of 0 in y 0.780 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.780 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.780 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.780 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.780 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.780 * [taylor]: Taking taylor expansion of x in y 0.780 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.780 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.780 * [taylor]: Taking taylor expansion of y in y 0.781 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.781 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.781 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.781 * [taylor]: Taking taylor expansion of x in y 0.781 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.781 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.781 * [taylor]: Taking taylor expansion of y in y 0.783 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.783 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.783 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.783 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.783 * [taylor]: Taking taylor expansion of x in x 0.783 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.783 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.783 * [taylor]: Taking taylor expansion of y in x 0.783 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.783 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.783 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.783 * [taylor]: Taking taylor expansion of x in x 0.784 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.784 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.784 * [taylor]: Taking taylor expansion of y in x 0.785 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.785 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.785 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 (/ 1 (pow y 2)) 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 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.786 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 (/ 1 (pow y 2)) in x 0.786 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.786 * [taylor]: Taking taylor expansion of y in x 0.787 * [taylor]: Taking taylor expansion of 1 in y 0.790 * [taylor]: Taking taylor expansion of 0 in y 0.792 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.792 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.793 * [taylor]: Taking taylor expansion of 2 in y 0.793 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.793 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.793 * [taylor]: Taking taylor expansion of y in y 0.800 * [taylor]: Taking taylor expansion of 0 in y 0.800 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.800 * [approximate]: Taking taylor expansion of (/ 1 (+ (pow x 2) (pow y 2))) in (x y) around 0 0.800 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (pow y 2))) in y 0.800 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.800 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.800 * [taylor]: Taking taylor expansion of x in y 0.800 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.800 * [taylor]: Taking taylor expansion of y in y 0.800 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (pow y 2))) in x 0.800 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.800 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.800 * [taylor]: Taking taylor expansion of x in x 0.800 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.800 * [taylor]: Taking taylor expansion of y in x 0.800 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (pow y 2))) in x 0.800 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.800 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.800 * [taylor]: Taking taylor expansion of x in x 0.801 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.801 * [taylor]: Taking taylor expansion of y in x 0.801 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.801 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.801 * [taylor]: Taking taylor expansion of y in y 0.804 * [taylor]: Taking taylor expansion of 0 in y 0.809 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 4))) in y 0.809 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 0.809 * [taylor]: Taking taylor expansion of (pow y 4) in y 0.809 * [taylor]: Taking taylor expansion of y in y 0.818 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.818 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.818 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.818 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.818 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.818 * [taylor]: Taking taylor expansion of x in y 0.818 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.818 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.818 * [taylor]: Taking taylor expansion of y in y 0.819 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.819 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.819 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.819 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.819 * [taylor]: Taking taylor expansion of x in x 0.820 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.820 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.820 * [taylor]: Taking taylor expansion of y in x 0.820 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.820 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.820 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.820 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.820 * [taylor]: Taking taylor expansion of x in x 0.821 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.821 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.821 * [taylor]: Taking taylor expansion of y in x 0.821 * [taylor]: Taking taylor expansion of 1 in y 0.823 * [taylor]: Taking taylor expansion of 0 in y 0.824 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.824 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.824 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.824 * [taylor]: Taking taylor expansion of y in y 0.829 * [approximate]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.829 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.829 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.829 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.829 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.829 * [taylor]: Taking taylor expansion of x in y 0.830 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.830 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.830 * [taylor]: Taking taylor expansion of y in y 0.831 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.831 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.831 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.831 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.831 * [taylor]: Taking taylor expansion of x in x 0.831 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.831 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.831 * [taylor]: Taking taylor expansion of y in x 0.832 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.832 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.832 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.832 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.832 * [taylor]: Taking taylor expansion of x in x 0.832 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.832 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.832 * [taylor]: Taking taylor expansion of y in x 0.833 * [taylor]: Taking taylor expansion of 1 in y 0.834 * [taylor]: Taking taylor expansion of 0 in y 0.836 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 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 0.841 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 0.841 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.841 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.841 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.841 * [taylor]: Taking taylor expansion of x in y 0.841 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.841 * [taylor]: Taking taylor expansion of y in y 0.841 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.841 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.841 * [taylor]: Taking taylor expansion of x in x 0.841 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.841 * [taylor]: Taking taylor expansion of y in x 0.841 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.841 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.841 * [taylor]: Taking taylor expansion of x in x 0.841 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.841 * [taylor]: Taking taylor expansion of y in x 0.841 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.842 * [taylor]: Taking taylor expansion of y in y 0.842 * [taylor]: Taking taylor expansion of 0 in y 0.843 * [taylor]: Taking taylor expansion of 1 in y 0.844 * [taylor]: Taking taylor expansion of 0 in y 0.846 * [taylor]: Taking taylor expansion of 0 in y 0.846 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.846 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.846 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.846 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.846 * [taylor]: Taking taylor expansion of x in y 0.846 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.846 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.846 * [taylor]: Taking taylor expansion of y in y 0.847 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.847 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.847 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.847 * [taylor]: Taking taylor expansion of x in x 0.847 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.848 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.848 * [taylor]: Taking taylor expansion of y in x 0.848 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.848 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.848 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.848 * [taylor]: Taking taylor expansion of x in x 0.848 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.848 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.848 * [taylor]: Taking taylor expansion of y in x 0.849 * [taylor]: Taking taylor expansion of 1 in y 0.850 * [taylor]: Taking taylor expansion of 0 in y 0.851 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.851 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.851 * [taylor]: Taking taylor expansion of y in y 0.853 * [taylor]: Taking taylor expansion of 0 in y 0.856 * [taylor]: Taking taylor expansion of 0 in y 0.857 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.857 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.857 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.857 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.857 * [taylor]: Taking taylor expansion of x in y 0.857 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.857 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.857 * [taylor]: Taking taylor expansion of y in y 0.858 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.858 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.858 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.858 * [taylor]: Taking taylor expansion of x in x 0.858 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.858 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.858 * [taylor]: Taking taylor expansion of y in x 0.859 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.859 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.859 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.859 * [taylor]: Taking taylor expansion of x in x 0.859 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.859 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.859 * [taylor]: Taking taylor expansion of y in x 0.860 * [taylor]: Taking taylor expansion of 1 in y 0.861 * [taylor]: Taking taylor expansion of 0 in y 0.862 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.862 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.862 * [taylor]: Taking taylor expansion of y in y 0.864 * [taylor]: Taking taylor expansion of 0 in y 0.866 * [taylor]: Taking taylor expansion of 0 in y 0.868 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.868 * [approximate]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in (x y) around 0 0.868 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 0.868 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.868 * [taylor]: Taking taylor expansion of x in y 0.868 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.868 * [taylor]: Taking taylor expansion of y in y 0.868 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.868 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.868 * [taylor]: Taking taylor expansion of x in x 0.868 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.868 * [taylor]: Taking taylor expansion of y in x 0.868 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 0.868 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.868 * [taylor]: Taking taylor expansion of x in x 0.868 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.868 * [taylor]: Taking taylor expansion of y in x 0.868 * [taylor]: Taking taylor expansion of (- (pow y 2)) in y 0.868 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.868 * [taylor]: Taking taylor expansion of y in y 0.869 * [taylor]: Taking taylor expansion of 0 in y 0.870 * [taylor]: Taking taylor expansion of 1 in y 0.872 * [taylor]: Taking taylor expansion of 0 in y 0.874 * [taylor]: Taking taylor expansion of 0 in y 0.874 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.874 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.875 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.875 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.875 * [taylor]: Taking taylor expansion of x in y 0.875 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.875 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.875 * [taylor]: Taking taylor expansion of y in y 0.875 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.875 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.875 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.875 * [taylor]: Taking taylor expansion of x in x 0.876 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.876 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.876 * [taylor]: Taking taylor expansion of y in x 0.876 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.876 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.876 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.876 * [taylor]: Taking taylor expansion of x in x 0.876 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.876 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.877 * [taylor]: Taking taylor expansion of y in x 0.877 * [taylor]: Taking taylor expansion of 1 in y 0.878 * [taylor]: Taking taylor expansion of 0 in y 0.879 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.879 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.879 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.879 * [taylor]: Taking taylor expansion of y in y 0.882 * [taylor]: Taking taylor expansion of 0 in y 0.885 * [taylor]: Taking taylor expansion of 0 in y 0.887 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.887 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.887 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.887 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.887 * [taylor]: Taking taylor expansion of x in y 0.887 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.887 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.887 * [taylor]: Taking taylor expansion of y in y 0.887 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.887 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.887 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.887 * [taylor]: Taking taylor expansion of x in x 0.888 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.888 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.888 * [taylor]: Taking taylor expansion of y in x 0.888 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.888 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.888 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.888 * [taylor]: Taking taylor expansion of x in x 0.889 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.889 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.889 * [taylor]: Taking taylor expansion of y in x 0.889 * [taylor]: Taking taylor expansion of 1 in y 0.890 * [taylor]: Taking taylor expansion of 0 in y 0.896 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.896 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.896 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.896 * [taylor]: Taking taylor expansion of y in y 0.899 * [taylor]: Taking taylor expansion of 0 in y 0.902 * [taylor]: Taking taylor expansion of 0 in y 0.904 * * * [progress]: simplifying candidates 0.904 * [simplify]: Simplifying using # : (* 1 (- (pow (* x x) 3) (pow (* y y) 3))) (* (+ (* x x) (* y y)) (+ (* (* x x) (* x x)) (+ (* (* y y) (* y y)) (* (* x x) (* y y))))) (* 1 (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (- 1) (- (pow (* x x) 3) (pow (* y y) 3))) (* (- (+ (* x x) (* y y))) (+ (* (* x x) (* x x)) (+ (* (* y y) (* y y)) (* (* x x) (* y y))))) (* (- 1) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (* (- (+ (* x x) (* y y))) (+ (* x x) (* y y))) (* 1 (- (pow (* x x) 3) (pow (* y y) 3))) (* (/ (+ (* x x) (* y y)) 1) (+ (* (* x x) (* x x)) (+ (* (* y y) (* y y)) (* (* x x) (* y y))))) (* 1 (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (* (/ (+ (* x x) (* y y)) 1) (+ (* x x) (* y y))) (* (/ 1 (+ (* x x) (* y y))) (fma x x (- (* y y)))) (* (/ 1 (+ (* x x) (* y y))) (fma (- y) y (* y y))) (* (/ 1 (+ (* x x) (* y y))) (fma x x (- (* y y)))) (* (/ 1 (+ (* x x) (* y y))) (fma (- y) y (* y y))) (* (/ 1 (+ (* x x) (* y y))) (fma x x (- (* y y)))) (* (/ 1 (+ (* x x) (* y y))) (fma (- y) y (* y y))) (* (/ 1 (+ (* x x) (* y y))) (fma x x (- (* y y)))) (* (/ 1 (+ (* x x) (* y y))) (fma (- y) y (* y y))) (* (/ 1 (+ (* x x) (* y y))) (* x x)) (* (/ 1 (+ (* x x) (* y y))) (- (* y y))) (* (/ 1 (+ (* x x) (* y y))) (* x x)) (* (/ 1 (+ (* x x) (* y y))) (- (* y y))) (* (fma x x (- (* y y))) (/ 1 (+ (* x x) (* y y)))) (* (fma (- y) y (* y y)) (/ 1 (+ (* x x) (* y y)))) (* (fma x x (- (* y y))) (/ 1 (+ (* x x) (* y y)))) (* (fma (- y) y (* y y)) (/ 1 (+ (* x x) (* y y)))) (* (fma x x (- (* y y))) (/ 1 (+ (* x x) (* y y)))) (* (fma (- y) y (* y y)) (/ 1 (+ (* x x) (* y y)))) (* (fma x x (- (* y y))) (/ 1 (+ (* x x) (* y y)))) (* (fma (- y) y (* y y)) (/ 1 (+ (* x x) (* y y)))) (* (* x x) (/ 1 (+ (* x x) (* y y)))) (* (- (* y y)) (/ 1 (+ (* x x) (* y y)))) (* (* x x) (/ 1 (+ (* x x) (* y y)))) (* (- (* y y)) (/ 1 (+ (* x x) (* y y)))) (* (/ 1 (+ (* x x) (* y y))) (+ x y)) (* (/ 1 (+ (* x x) (* y y))) (+ x y)) (* (/ 1 (+ (* x x) (* y y))) (+ x y)) (* (/ 1 (+ (* x x) (* y y))) (+ x y)) (* (/ 1 (+ (* x x) (* y y))) (- (* x x) (* y y))) (* (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* x x) (* y y))) (* (- (* x x) (* y y)) (- (* x x) (* y y))) (* (/ 1 (+ (* x x) (* y y))) (- (pow (* x x) 3) (pow (* y y) 3))) (* (/ 1 (+ (* x x) (* y y))) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (* 1 (- (* x x) (* y y))) (* (- 1) (- (* x x) (* y y))) (* 1 (- (* x x) (* y y))) (- 1) (- (+ (* x x) (* y y))) (/ 1 (+ (* x x) (* y y))) (/ (+ (* x x) (* y y)) 1) (/ 1 (+ (pow (* x x) 3) (pow (* y y) 3))) (/ 1 (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) (fma x x (- (* y y))) (fma (- y) y (* y y)) (fma x x (- (* y y))) (fma (- y) y (* y y)) (fma x x (- (* y y))) (fma (- y) y (* y y)) (fma x x (- (* y y))) (fma (- y) y (* y y)) (- (* y y)) (- (* y y)) (- (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (+ (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* y y)) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (+ (* x x) (* y y)) (+ x y) (- x y) (+ x y) (- x y) (+ x y) (- x y) (+ x y) (- x y) (- (* y y)) -1 1 1 0 0 0 (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) 0.909 * * [simplify]: iteration 0 : 223 enodes (cost 436 ) 0.913 * * [simplify]: iteration 1 : 1028 enodes (cost 396 ) 0.935 * * [simplify]: iteration 2 : 5001 enodes (cost 374 ) 0.938 * [simplify]: Simplified to: (- (pow (* x x) 3) (pow (* y y) 3)) (* (fma x x (* y y)) (/ (fma y (* y (fma x x (* y y))) (pow x 4)) 1)) (fma (- (pow y 3)) y (pow x 4)) (* (fma x x (* y y)) (fma x x (* y y))) (+ (- (pow (* x x) 3)) (pow y 6)) (* (- (fma (pow x 2) (pow x 2) (* (pow y 2) (fma x x (* y y))))) (fma x x (* y y))) (+ (- (pow x 4)) (pow y 4)) (- (* (fma x x (* y y)) (fma x x (* y y)))) (- (pow (* x x) 3) (pow (* y y) 3)) (* (fma x x (* y y)) (/ (fma y (* y (fma x x (* y y))) (pow x 4)) 1)) (fma (- (pow y 3)) y (pow x 4)) (* (fma x x (* y y)) (fma x x (* y y))) (/ (- (* x x) (* y y)) (fma x x (* y y))) (/ (fma (- y) y (* y y)) (fma x x (* y y))) (/ (- (* x x) (* y y)) (fma x x (* y y))) (/ (fma (- y) y (* y y)) (fma x x (* y y))) (/ (- (* x x) (* y y)) (fma x x (* y y))) (/ (fma (- y) y (* y y)) (fma x x (* y y))) (/ (- (* x x) (* y y)) (fma x x (* y y))) (/ (fma (- y) y (* y y)) (fma x x (* y y))) (/ (pow x 2) (fma x x (* y y))) (/ (- (* y y)) (fma x x (* y y))) (/ (pow x 2) (fma x x (* y y))) (/ (- (* y y)) (fma x x (* y y))) (/ (- (* x x) (* y y)) (fma x x (* y y))) (/ (fma (- y) y (* y y)) (fma x x (* y y))) (/ (- (* x x) (* y y)) (fma x x (* y y))) (/ (fma (- y) y (* y y)) (fma x x (* y y))) (/ (- (* x x) (* y y)) (fma x x (* y y))) (/ (fma (- y) y (* y y)) (fma x x (* y y))) (/ (- (* x x) (* y y)) (fma x x (* y y))) (/ (fma (- y) y (* y y)) (fma x x (* y y))) (/ (pow x 2) (fma x x (* y y))) (/ (- (* y y)) (fma x x (* y y))) (/ (pow x 2) (fma x x (* y y))) (/ (- (* y y)) (fma x x (* y y))) (/ (+ x y) (fma x x (* y y))) (/ (+ x y) (fma x x (* y y))) (/ (+ x y) (fma x x (* y y))) (/ (+ x y) (fma x x (* y y))) (/ (- (* x x) (* y y)) (fma x x (* y y))) (* (* (fma y (- (pow y 3) (* (pow x 2) y)) (pow x 4)) (- x y)) (+ x y)) (* (- (* x x) (* y y)) (- (* x x) (* y y))) (/ (- (pow (* x x) 3) (pow (* y y) 3)) (fma x x (* y y))) (- (* x x) (* y y)) (- (* x x) (* y y)) (- (pow y 2) (pow x 2)) (- (* x x) (* y y)) (- 1) (- (fma x x (* y y))) (/ 1 (+ (* x x) (* y y))) (fma x x (* y y)) (/ 1 (+ (pow (* x x) 3) (pow (* y y) 3))) (* (/ 2 (fma (- (pow y 3)) y (pow x 4))) 1/2) (+ (pow (* x x) 3) (pow (* y y) 3)) (fma y (- (pow y 3) (* (pow x 2) y)) (pow x 4)) (fma (- (pow y 3)) y (pow x 4)) (- (* x x) (* y y)) (- (* x x) (* y y)) (fma (- y) y (* y y)) (- (* x x) (* y y)) (fma (- y) y (* y y)) (- (* x x) (* y y)) (fma (- y) y (* y y)) (- (* x x) (* y y)) (fma (- y) y (* y y)) (- (* y y)) (- (* y y)) (- (pow (* x x) 3) (pow (* y y) 3)) (fma y (* y (fma x x (* y y))) (pow x 4)) (- (* y y)) (fma (- (pow y 3)) y (pow x 4)) (fma x x (* y y)) (+ x y) (- x y) (+ x y) (- x y) (+ x y) (- x y) (+ x y) (- x y) (- (* y y)) -1 1 1 0 0 0 (fma x x (* y y)) (fma x x (* y y)) (fma x x (* y y)) (- (* x x) (* y y)) (- (* x x) (* y y)) (- (* x x) (* y y)) 0.938 * * * [progress]: adding candidates to table 1.028 * [progress]: [Phase 3 of 3] Extracting. 1.028 * * [regime]: Finding splitpoints for: (# # # # #) 1.029 * * * [regime-changes]: Trying 3 branch expressions: ((/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) y x) 1.029 * * * * [regimes]: Trying to branch on (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) from (# # # # #) 1.048 * * * * [regimes]: Trying to branch on y from (# # # # #) 1.091 * * * * [regimes]: Trying to branch on x from (# # # # #) 1.119 * * * [regime]: Found split indices: #