6.246 * [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 ) 0.024 * * [simplify]: iteration 1 : 48 enodes (cost 7 ) 0.026 * * [simplify]: iteration 2 : 104 enodes (cost 7 ) 0.028 * * [simplify]: iteration 3 : 196 enodes (cost 7 ) 0.031 * * [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 ) 0.080 * [simplify]: Simplified to: (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 0.080 * * [progress]: iteration 1 / 4 0.080 * * * [progress]: picking best candidate 0.082 * * * * [pick]: Picked # 0.082 * * * [progress]: localizing error 0.090 * * * [progress]: generating rewritten candidates 0.090 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.101 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.106 * * * [progress]: generating series expansions 0.106 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.106 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0 0.106 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 0.106 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 0.106 * [taylor]: Taking taylor expansion of (+ x y) in y 0.106 * [taylor]: Taking taylor expansion of x in y 0.106 * [taylor]: Taking taylor expansion of y in y 0.106 * [taylor]: Taking taylor expansion of (- x y) in y 0.106 * [taylor]: Taking taylor expansion of x in y 0.106 * [taylor]: Taking taylor expansion of y in y 0.106 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.106 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.106 * [taylor]: Taking taylor expansion of x in y 0.106 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.107 * [taylor]: Taking taylor expansion of y in y 0.107 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.107 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.107 * [taylor]: Taking taylor expansion of (+ x y) in x 0.107 * [taylor]: Taking taylor expansion of x in x 0.107 * [taylor]: Taking taylor expansion of y in x 0.107 * [taylor]: Taking taylor expansion of (- x y) in x 0.107 * [taylor]: Taking taylor expansion of x in x 0.107 * [taylor]: Taking taylor expansion of y in x 0.107 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.107 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.107 * [taylor]: Taking taylor expansion of x in x 0.107 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.107 * [taylor]: Taking taylor expansion of y in x 0.108 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.108 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.108 * [taylor]: Taking taylor expansion of (+ x y) in x 0.108 * [taylor]: Taking taylor expansion of x in x 0.108 * [taylor]: Taking taylor expansion of y in x 0.108 * [taylor]: Taking taylor expansion of (- x y) in x 0.108 * [taylor]: Taking taylor expansion of x in x 0.108 * [taylor]: Taking taylor expansion of y in x 0.108 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.108 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.108 * [taylor]: Taking taylor expansion of x in x 0.108 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.108 * [taylor]: Taking taylor expansion of y in x 0.108 * [taylor]: Taking taylor expansion of -1 in y 0.109 * [taylor]: Taking taylor expansion of 0 in y 0.111 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.111 * [taylor]: Taking taylor expansion of 2 in y 0.111 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.111 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.111 * [taylor]: Taking taylor expansion of y in y 0.117 * [taylor]: Taking taylor expansion of 0 in y 0.117 * [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 0.117 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.117 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.117 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.117 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.117 * [taylor]: Taking taylor expansion of x in y 0.117 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.117 * [taylor]: Taking taylor expansion of y in y 0.118 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.118 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.118 * [taylor]: Taking taylor expansion of y in y 0.118 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.118 * [taylor]: Taking taylor expansion of x in y 0.118 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.118 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.118 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.118 * [taylor]: Taking taylor expansion of x in y 0.118 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.118 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.118 * [taylor]: Taking taylor expansion of y in y 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 0.120 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.120 * [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 0.121 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.121 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.121 * [taylor]: Taking taylor expansion of y in x 0.123 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.123 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.123 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.123 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.123 * [taylor]: Taking taylor expansion of x in x 0.123 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.123 * [taylor]: Taking taylor expansion of y in x 0.123 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.123 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.123 * [taylor]: Taking taylor expansion of y in x 0.123 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.123 * [taylor]: Taking taylor expansion of x in x 0.124 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.124 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.124 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.124 * [taylor]: Taking taylor expansion of x in x 0.124 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.124 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.124 * [taylor]: Taking taylor expansion of y in x 0.125 * [taylor]: Taking taylor expansion of 1 in y 0.128 * [taylor]: Taking taylor expansion of 0 in y 0.132 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.132 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.132 * [taylor]: Taking taylor expansion of 2 in y 0.132 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.132 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.132 * [taylor]: Taking taylor expansion of y in y 0.140 * [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 0.141 * [taylor]: Taking taylor expansion of -1 in y 0.141 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.141 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.141 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.141 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.141 * [taylor]: Taking taylor expansion of y in y 0.141 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.141 * [taylor]: Taking taylor expansion of x in y 0.141 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.141 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.141 * [taylor]: Taking taylor expansion of y in y 0.141 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.141 * [taylor]: Taking taylor expansion of x in y 0.141 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.141 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.141 * [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 0.147 * [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 0.148 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.148 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.148 * [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 0.149 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.149 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.149 * [taylor]: Taking taylor expansion of y in x 0.150 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.151 * [taylor]: Taking taylor expansion of -1 in x 0.151 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.151 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.151 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.151 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.151 * [taylor]: Taking taylor expansion of y in x 0.151 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.151 * [taylor]: Taking taylor expansion of x in x 0.151 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.151 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.151 * [taylor]: Taking taylor expansion of y in x 0.151 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.151 * [taylor]: Taking taylor expansion of x in x 0.151 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.151 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.151 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.151 * [taylor]: Taking taylor expansion of x in x 0.152 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.152 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.152 * [taylor]: Taking taylor expansion of y in x 0.154 * [taylor]: Taking taylor expansion of 1 in y 0.157 * [taylor]: Taking taylor expansion of 0 in y 0.161 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.161 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.161 * [taylor]: Taking taylor expansion of 2 in y 0.161 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.161 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.161 * [taylor]: Taking taylor expansion of y in y 0.170 * [taylor]: Taking taylor expansion of 0 in y 0.170 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.170 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.170 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.170 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.170 * [taylor]: Taking taylor expansion of x in y 0.170 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.170 * [taylor]: Taking taylor expansion of y in y 0.170 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.170 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.170 * [taylor]: Taking taylor expansion of x in x 0.170 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.170 * [taylor]: Taking taylor expansion of y in x 0.170 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.170 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.170 * [taylor]: Taking taylor expansion of x in x 0.171 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.171 * [taylor]: Taking taylor expansion of y in x 0.171 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.171 * [taylor]: Taking taylor expansion of y in y 0.171 * [taylor]: Taking taylor expansion of 0 in y 0.172 * [taylor]: Taking taylor expansion of 1 in y 0.173 * [taylor]: Taking taylor expansion of 0 in y 0.175 * [taylor]: Taking taylor expansion of 0 in y 0.175 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.175 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.175 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.175 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.175 * [taylor]: Taking taylor expansion of x in y 0.176 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.176 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.176 * [taylor]: Taking taylor expansion of y in y 0.176 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.176 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.176 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.176 * [taylor]: Taking taylor expansion of x in x 0.177 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.177 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.177 * [taylor]: Taking taylor expansion of y in x 0.177 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.177 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.177 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.177 * [taylor]: Taking taylor expansion of x in x 0.177 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.177 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.177 * [taylor]: Taking taylor expansion of y in x 0.178 * [taylor]: Taking taylor expansion of 1 in y 0.179 * [taylor]: Taking taylor expansion of 0 in y 0.180 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.180 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.180 * [taylor]: Taking taylor expansion of y in y 0.182 * [taylor]: Taking taylor expansion of 0 in y 0.185 * [taylor]: Taking taylor expansion of 0 in y 0.186 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.186 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.186 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.186 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.186 * [taylor]: Taking taylor expansion of x 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 0.187 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.187 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.187 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.187 * [taylor]: Taking taylor expansion of x in x 0.187 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.187 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.187 * [taylor]: Taking taylor expansion of y in x 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 0.188 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.188 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.188 * [taylor]: Taking taylor expansion of y in x 0.189 * [taylor]: Taking taylor expansion of 1 in y 0.190 * [taylor]: Taking taylor expansion of 0 in y 0.191 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.191 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.191 * [taylor]: Taking taylor expansion of y in y 0.193 * [taylor]: Taking taylor expansion of 0 in y 0.195 * [taylor]: Taking taylor expansion of 0 in y 0.197 * * * [progress]: simplifying candidates 0.197 * [simplify]: Simplifying using # : (- (+ (log (- x y)) (log (+ x y))) (log (+ (* x x) (* y y)))) (- (log (* (- x y) (+ x y))) (log (+ (* x x) (* y y)))) (log (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (/ (* (* (* (- x y) (- x y)) (- x y)) (* (* (+ x y) (+ x y)) (+ x y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))) (/ (* (* (* (- x y) (+ x y)) (* (- x y) (+ x y))) (* (- x y) (+ x y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))) (* (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (* (* (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (- (* (- x y) (+ x y))) (- (+ (* x x) (* y y))) (/ (- x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (+ x y) (cbrt (+ (* x x) (* y y)))) (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (/ (- x y) 1) (/ (+ x y) (+ (* x x) (* y y))) (/ 1 (+ (* x x) (* y y))) (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))) (/ (* (- x y) (+ x y)) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (* (- x y) (+ x y)) (sqrt (+ (* x x) (* y y)))) (/ (* (- x y) (+ x y)) 1) (/ (+ (* 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)) (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* 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)) -1 1 1 (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.201 * * [simplify]: iteration 0 : 308 enodes (cost 388 ) 0.208 * * [simplify]: iteration 1 : 1848 enodes (cost 330 ) 0.236 * * [simplify]: iteration 2 : 5001 enodes (cost 322 ) 0.238 * [simplify]: Simplified to: (log (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (log (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (log (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3) (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3) (* (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3) (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (- (pow y 2) (pow x 2)) (- (+ (* x x) (* y y))) (/ (- x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (+ x y) (cbrt (+ (* x x) (* y y)))) (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (- x y) (/ (+ x y) (+ (pow x 2) (pow y 2))) (/ 1 (+ (* x x) (* y y))) (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))) (/ (* (- x y) (+ x y)) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (* (- x y) (+ x y)) (sqrt (+ (* x x) (* y y)))) (* (- x y) (+ 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)) (exp (+ (* x x) (* y y))) (log (+ (pow x 2) (pow y 2))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (pow (+ (pow x 2) (pow y 2)) 3) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y 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)) 0.238 * * * [progress]: adding candidates to table 0.345 * * [progress]: iteration 2 / 4 0.345 * * * [progress]: picking best candidate 0.350 * * * * [pick]: Picked # 0.350 * * * [progress]: localizing error 0.363 * * * [progress]: generating rewritten candidates 0.363 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 0.367 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.370 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.378 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.418 * * * [progress]: generating series expansions 0.418 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 0.418 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.418 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.418 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.418 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.418 * [taylor]: Taking taylor expansion of x in y 0.418 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.418 * [taylor]: Taking taylor expansion of y in y 0.419 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.419 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 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 0.419 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.419 * [taylor]: Taking taylor expansion of y in x 0.420 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.420 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.420 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.420 * [taylor]: Taking taylor expansion of x 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 y in y 0.420 * [taylor]: Taking taylor expansion of 0 in y 0.422 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.422 * [taylor]: Taking taylor expansion of 1/2 in y 0.422 * [taylor]: Taking taylor expansion of y in y 0.424 * [taylor]: Taking taylor expansion of 0 in y 0.424 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.424 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.424 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.424 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.424 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.424 * [taylor]: Taking taylor expansion of x in y 0.425 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.425 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.425 * [taylor]: Taking taylor expansion of y in y 0.427 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.427 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.427 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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 (/ 1 (pow y 2)) in x 0.427 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.428 * [taylor]: Taking taylor expansion of y in x 0.429 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.429 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.430 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.430 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.430 * [taylor]: Taking taylor expansion of x in x 0.430 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.430 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.430 * [taylor]: Taking taylor expansion of y in x 0.436 * [taylor]: Taking taylor expansion of 1 in y 0.436 * [taylor]: Taking taylor expansion of 0 in y 0.439 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.439 * [taylor]: Taking taylor expansion of 1/2 in y 0.439 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.439 * [taylor]: Taking taylor expansion of y in y 0.442 * [taylor]: Taking taylor expansion of 0 in y 0.443 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.443 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.443 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.443 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.443 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.443 * [taylor]: Taking taylor expansion of x in y 0.443 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.443 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.443 * [taylor]: Taking taylor expansion of y in y 0.446 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 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 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 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 0.449 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.449 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.449 * [taylor]: Taking taylor expansion of y in x 0.451 * [taylor]: Taking taylor expansion of 1 in y 0.451 * [taylor]: Taking taylor expansion of 0 in y 0.453 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.453 * [taylor]: Taking taylor expansion of 1/2 in y 0.453 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.453 * [taylor]: Taking taylor expansion of y in y 0.456 * [taylor]: Taking taylor expansion of 0 in y 0.457 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.457 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.457 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.457 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.457 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.457 * [taylor]: Taking taylor expansion of x in y 0.457 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.457 * [taylor]: Taking taylor expansion of y in y 0.458 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.458 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.458 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.458 * [taylor]: Taking taylor expansion of x in x 0.458 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.458 * [taylor]: Taking taylor expansion of y in x 0.458 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.458 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.458 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.458 * [taylor]: Taking taylor expansion of x in x 0.458 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.459 * [taylor]: Taking taylor expansion of y in x 0.459 * [taylor]: Taking taylor expansion of y in y 0.459 * [taylor]: Taking taylor expansion of 0 in y 0.460 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.460 * [taylor]: Taking taylor expansion of 1/2 in y 0.460 * [taylor]: Taking taylor expansion of y in y 0.462 * [taylor]: Taking taylor expansion of 0 in y 0.463 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.463 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 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 0.466 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.466 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.466 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.466 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.466 * [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 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 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 0.471 * [taylor]: Taking taylor expansion of 0 in y 0.473 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.473 * [taylor]: Taking taylor expansion of 1/2 in y 0.473 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.473 * [taylor]: Taking taylor expansion of y in y 0.476 * [taylor]: Taking taylor expansion of 0 in y 0.477 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.477 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.477 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.477 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.477 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.477 * [taylor]: Taking taylor expansion of x in y 0.477 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.477 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.477 * [taylor]: Taking taylor expansion of y in y 0.480 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.480 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.480 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.480 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.480 * [taylor]: Taking taylor expansion of x in x 0.480 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.480 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.480 * [taylor]: Taking taylor expansion of y in x 0.482 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.482 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.482 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.482 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.482 * [taylor]: Taking taylor expansion of x in x 0.483 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.483 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.483 * [taylor]: Taking taylor expansion of y in x 0.485 * [taylor]: Taking taylor expansion of 1 in y 0.485 * [taylor]: Taking taylor expansion of 0 in y 0.487 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.487 * [taylor]: Taking taylor expansion of 1/2 in y 0.487 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.487 * [taylor]: Taking taylor expansion of y in y 0.490 * [taylor]: Taking taylor expansion of 0 in y 0.491 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.492 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) (+ x y)) in (x y) around 0 0.492 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) (+ x y)) in y 0.492 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) in y 0.492 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (pow y 2))) in y 0.492 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 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 (pow y 2) in y 0.492 * [taylor]: Taking taylor expansion of y in y 0.492 * [taylor]: Taking taylor expansion of (+ x y) in y 0.492 * [taylor]: Taking taylor expansion of x in y 0.492 * [taylor]: Taking taylor expansion of y in y 0.493 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) (+ x y)) in x 0.493 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) in x 0.493 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (pow y 2))) in x 0.493 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 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 (pow y 2) in x 0.493 * [taylor]: Taking taylor expansion of y in x 0.493 * [taylor]: Taking taylor expansion of (+ x y) in x 0.493 * [taylor]: Taking taylor expansion of x in x 0.493 * [taylor]: Taking taylor expansion of y in x 0.493 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) (+ x y)) in x 0.493 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) in x 0.493 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (pow y 2))) in x 0.494 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.494 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.494 * [taylor]: Taking taylor expansion of x 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 (+ x y) in x 0.494 * [taylor]: Taking taylor expansion of x 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 (/ 1 y) in y 0.495 * [taylor]: Taking taylor expansion of y in y 0.498 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 2)))) in y 0.498 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 0.498 * [taylor]: Taking taylor expansion of 1/2 in y 0.498 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.498 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.498 * [taylor]: Taking taylor expansion of y in y 0.503 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 3)))) in y 0.504 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 0.504 * [taylor]: Taking taylor expansion of 1/2 in y 0.504 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.504 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.504 * [taylor]: Taking taylor expansion of y in y 0.509 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in (x y) around 0 0.509 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 0.509 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.509 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.509 * [taylor]: Taking taylor expansion of y in y 0.510 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.510 * [taylor]: Taking taylor expansion of x in y 0.510 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.510 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.510 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.510 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.510 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.510 * [taylor]: Taking taylor expansion of x in y 0.510 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.510 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.510 * [taylor]: Taking taylor expansion of y in y 0.513 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.513 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.513 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.513 * [taylor]: Taking taylor expansion of y in x 0.513 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.513 * [taylor]: Taking taylor expansion of x in x 0.513 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.513 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.513 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.513 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.513 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.513 * [taylor]: Taking taylor expansion of x in x 0.514 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.514 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.514 * [taylor]: Taking taylor expansion of y in x 0.517 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.517 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.517 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.517 * [taylor]: Taking taylor expansion of y in x 0.517 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.517 * [taylor]: Taking taylor expansion of x in x 0.517 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.517 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.517 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.517 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.517 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.517 * [taylor]: Taking taylor expansion of x in x 0.518 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.518 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.518 * [taylor]: Taking taylor expansion of y in x 0.525 * [taylor]: Taking taylor expansion of 1 in y 0.526 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.526 * [taylor]: Taking taylor expansion of y in y 0.530 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 2)))) in y 0.530 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 0.530 * [taylor]: Taking taylor expansion of 1/2 in y 0.530 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.530 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.530 * [taylor]: Taking taylor expansion of y in y 0.538 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 3)))) in y 0.538 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 0.538 * [taylor]: Taking taylor expansion of 1/2 in y 0.538 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.538 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.538 * [taylor]: Taking taylor expansion of y in y 0.544 * [approximate]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))))) in (x y) around 0 0.544 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))))) in y 0.544 * [taylor]: Taking taylor expansion of -1 in y 0.544 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 0.544 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.544 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.544 * [taylor]: Taking taylor expansion of y in y 0.544 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.544 * [taylor]: Taking taylor expansion of x in y 0.544 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.545 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.545 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.545 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.545 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.545 * [taylor]: Taking taylor expansion of x in y 0.545 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.545 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.545 * [taylor]: Taking taylor expansion of y in y 0.548 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))))) in x 0.548 * [taylor]: Taking taylor expansion of -1 in x 0.548 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.548 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.548 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.548 * [taylor]: Taking taylor expansion of y in x 0.548 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.548 * [taylor]: Taking taylor expansion of x in x 0.548 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.548 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.548 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.548 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.548 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.548 * [taylor]: Taking taylor expansion of x in x 0.549 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.549 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.549 * [taylor]: Taking taylor expansion of y in x 0.551 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))))) in x 0.551 * [taylor]: Taking taylor expansion of -1 in x 0.551 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.551 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.551 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.551 * [taylor]: Taking taylor expansion of y in x 0.552 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.552 * [taylor]: Taking taylor expansion of x in x 0.552 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.552 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.552 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.552 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.552 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.552 * [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 0.556 * [taylor]: Taking taylor expansion of -1 in y 0.557 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.557 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.557 * [taylor]: Taking taylor expansion of y in y 0.562 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 0.562 * [taylor]: Taking taylor expansion of 1/2 in y 0.562 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.562 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.562 * [taylor]: Taking taylor expansion of y in y 0.570 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 0.570 * [taylor]: Taking taylor expansion of 1/2 in y 0.570 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.570 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.570 * [taylor]: Taking taylor expansion of y in y 0.576 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.576 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0 0.576 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 0.576 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 0.576 * [taylor]: Taking taylor expansion of (+ x y) in y 0.576 * [taylor]: Taking taylor expansion of x in y 0.576 * [taylor]: Taking taylor expansion of y in y 0.576 * [taylor]: Taking taylor expansion of (- x y) in y 0.576 * [taylor]: Taking taylor expansion of x in y 0.576 * [taylor]: Taking taylor expansion of y in y 0.576 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.576 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.576 * [taylor]: Taking taylor expansion of x in y 0.576 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.576 * [taylor]: Taking taylor expansion of y in y 0.577 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.577 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.577 * [taylor]: Taking taylor expansion of (+ x y) in x 0.577 * [taylor]: Taking taylor expansion of x in x 0.577 * [taylor]: Taking taylor expansion of y in x 0.577 * [taylor]: Taking taylor expansion of (- x y) in x 0.577 * [taylor]: Taking taylor expansion of x in x 0.577 * [taylor]: Taking taylor expansion of y in x 0.577 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.577 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.577 * [taylor]: Taking taylor expansion of x in x 0.577 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.577 * [taylor]: Taking taylor expansion of y in x 0.577 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.577 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.577 * [taylor]: Taking taylor expansion of (+ x y) in x 0.577 * [taylor]: Taking taylor expansion of x in x 0.577 * [taylor]: Taking taylor expansion of y in x 0.577 * [taylor]: Taking taylor expansion of (- x y) in x 0.577 * [taylor]: Taking taylor expansion of x in x 0.578 * [taylor]: Taking taylor expansion of y in x 0.578 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.578 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.578 * [taylor]: Taking taylor expansion of x in x 0.578 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.578 * [taylor]: Taking taylor expansion of y in x 0.578 * [taylor]: Taking taylor expansion of -1 in y 0.579 * [taylor]: Taking taylor expansion of 0 in y 0.581 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.581 * [taylor]: Taking taylor expansion of 2 in y 0.581 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.581 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.581 * [taylor]: Taking taylor expansion of y in y 0.587 * [taylor]: Taking taylor expansion of 0 in y 0.587 * [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 0.587 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.587 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.587 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.587 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.588 * [taylor]: Taking taylor expansion of x in y 0.588 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.588 * [taylor]: Taking taylor expansion of y in y 0.588 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.588 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.588 * [taylor]: Taking taylor expansion of y in y 0.588 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.588 * [taylor]: Taking taylor expansion of x in y 0.588 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.588 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.588 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.588 * [taylor]: Taking taylor expansion of x in y 0.589 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.589 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.589 * [taylor]: Taking taylor expansion of y in y 0.590 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.591 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.591 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.591 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.591 * [taylor]: Taking taylor expansion of x in x 0.591 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.591 * [taylor]: Taking taylor expansion of y in x 0.591 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.591 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.591 * [taylor]: Taking taylor expansion of y in x 0.591 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.591 * [taylor]: Taking taylor expansion of x in x 0.591 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.591 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.591 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.591 * [taylor]: Taking taylor expansion of x in x 0.592 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.592 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.592 * [taylor]: Taking taylor expansion of y in x 0.593 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.593 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.593 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.593 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.593 * [taylor]: Taking taylor expansion of x in x 0.593 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.594 * [taylor]: Taking taylor expansion of y in x 0.594 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.594 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.594 * [taylor]: Taking taylor expansion of y in x 0.594 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.594 * [taylor]: Taking taylor expansion of x in x 0.594 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.594 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.594 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.594 * [taylor]: Taking taylor expansion of x in x 0.594 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.594 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.595 * [taylor]: Taking taylor expansion of y in x 0.596 * [taylor]: Taking taylor expansion of 1 in y 0.598 * [taylor]: Taking taylor expansion of 0 in y 0.602 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.602 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.602 * [taylor]: Taking taylor expansion of 2 in y 0.602 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.602 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.602 * [taylor]: Taking taylor expansion of y in y 0.615 * [taylor]: Taking taylor expansion of 0 in y 0.616 * [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 0.616 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.616 * [taylor]: Taking taylor expansion of -1 in y 0.616 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.616 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.616 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.616 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.616 * [taylor]: Taking taylor expansion of y in y 0.616 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.616 * [taylor]: Taking taylor expansion of x in y 0.616 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.616 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.616 * [taylor]: Taking taylor expansion of y in y 0.616 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.616 * [taylor]: Taking taylor expansion of x in y 0.616 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.616 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.616 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.616 * [taylor]: Taking taylor expansion of x in y 0.617 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.617 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.617 * [taylor]: Taking taylor expansion of y in y 0.618 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.618 * [taylor]: Taking taylor expansion of -1 in x 0.618 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.618 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.618 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.618 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.618 * [taylor]: Taking taylor expansion of y in x 0.618 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.618 * [taylor]: Taking taylor expansion of x in x 0.619 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.619 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.619 * [taylor]: Taking taylor expansion of y in x 0.619 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.619 * [taylor]: Taking taylor expansion of x in x 0.619 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.619 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.619 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.619 * [taylor]: Taking taylor expansion of x in x 0.620 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.620 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.620 * [taylor]: Taking taylor expansion of y in x 0.621 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.621 * [taylor]: Taking taylor expansion of -1 in x 0.621 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.621 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.621 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.621 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.621 * [taylor]: Taking taylor expansion of y in x 0.621 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.621 * [taylor]: Taking taylor expansion of x in x 0.622 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.622 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.622 * [taylor]: Taking taylor expansion of y in x 0.622 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.622 * [taylor]: Taking taylor expansion of x in x 0.622 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.622 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.622 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.622 * [taylor]: Taking taylor expansion of x in x 0.623 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.623 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.623 * [taylor]: Taking taylor expansion of y in x 0.624 * [taylor]: Taking taylor expansion of 1 in y 0.627 * [taylor]: Taking taylor expansion of 0 in y 0.632 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.632 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.632 * [taylor]: Taking taylor expansion of 2 in y 0.632 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.632 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.632 * [taylor]: Taking taylor expansion of y in y 0.641 * [taylor]: Taking taylor expansion of 0 in y 0.641 * * * [progress]: simplifying candidates 0.644 * [simplify]: Simplifying using # : (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (- (log (+ x y)) (log (sqrt (+ (* x x) (* y y))))) (log (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (exp (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))) (* (cbrt (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (cbrt (/ (+ x y) (sqrt (+ (* x x) (* y y)))))) (cbrt (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (* (* (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (sqrt (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (sqrt (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (- (+ x y)) (- (sqrt (+ (* x x) (* y y)))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))) (/ (cbrt (+ x y)) (cbrt (sqrt (+ (* x x) (* y y))))) (/ (* (cbrt (+ x y)) (cbrt (+ 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y))) 3) (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3) (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3) (* (cbrt (* (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y)))))) (cbrt (* (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y))))))) (cbrt (* (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y)))))) (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3) (sqrt (* (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y)))))) (sqrt (* (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y)))))) (* (- x y) (+ x y)) (+ (* x x) (* y y)) (* (sqrt (/ (- x y) (sqrt (+ (* x x) (* y y))))) (sqrt (/ (+ x y) (sqrt (+ (* x x) (* y y)))))) (* (sqrt (/ (- x y) (sqrt (+ (* x x) (* y y))))) (sqrt (/ (+ x y) (sqrt (+ (* x x) (* y y)))))) (* (sqrt (/ (- x y) (sqrt (+ (* x x) (* y y))))) (/ (sqrt (+ x y)) (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (/ (- x y) (sqrt (+ (* x x) (* y y))))) (/ (sqrt (+ x y)) (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (/ (- x y) (sqrt (+ (* x x) (* y y))))) (/ (sqrt (+ x y)) (sqrt (sqrt (+ (* x x) (* y y)))))) (* (sqrt (/ (- x y) (sqrt (+ (* x x) (* y y))))) (/ (sqrt (+ x y)) (sqrt (sqrt (+ (* x x) (* y y)))))) (* (/ (sqrt (- x y)) (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (/ (+ x y) (sqrt (+ (* x x) (* y y)))))) (* (/ (sqrt (- x y)) (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (/ (+ x y) (sqrt (+ (* x x) (* y y)))))) (* (/ (sqrt (- x y)) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (sqrt (+ x y)) (sqrt (sqrt (+ (* x x) (* y y)))))) (* (/ (sqrt (- x y)) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (sqrt (+ x y)) (sqrt (sqrt (+ (* x x) (* y y)))))) (* (/ (sqrt (- x y)) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (sqrt (+ x y)) (sqrt (sqrt (+ (* x x) (* y y)))))) (* (/ (sqrt (- x y)) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (sqrt (+ x y)) (sqrt (sqrt (+ (* x x) (* y y)))))) (* (/ (sqrt (- x y)) (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (/ (+ x y) (sqrt (+ (* x x) (* y y)))))) (* (/ (sqrt (- x y)) (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (/ (+ x y) (sqrt (+ (* x x) (* y y)))))) (* (/ (sqrt (- x y)) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (sqrt (+ x y)) (sqrt (sqrt (+ (* x x) (* y y)))))) (* (/ (sqrt (- x y)) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (sqrt (+ x y)) (sqrt (sqrt (+ (* x x) (* y y)))))) (* (/ (sqrt (- x y)) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (sqrt (+ x y)) (sqrt (sqrt (+ (* x x) (* y y)))))) (* (/ (sqrt (- x y)) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (sqrt (+ x y)) (sqrt (sqrt (+ (* x x) (* y y)))))) (* (/ (- x y) (sqrt (+ (* x x) (* y y)))) (* (cbrt (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (cbrt (/ (+ x y) (sqrt (+ (* x x) (* y y))))))) (* (/ (- x y) (sqrt (+ (* x x) (* y y)))) (sqrt (/ (+ x y) (sqrt (+ (* x x) (* y y)))))) (* (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))))) (/ (* (/ (- x y) (sqrt (+ (* x x) (* y y)))) (* (cbrt (+ x y)) (cbrt (+ x y)))) (fabs (cbrt (+ (* x x) (* y y))))) (* (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (sqrt (+ (* x x) (* y y)))))) (/ (* (- x y) (* (cbrt (+ x y)) (cbrt (+ x y)))) (sqrt (+ (* x x) (* y y)))) (* (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (sqrt (+ (* x x) (* y y)))))) (/ (* (- x y) (* (cbrt (+ x y)) (cbrt (+ x y)))) (sqrt (+ (* x x) (* y y)))) (* (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (sqrt (+ x y)) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))))) (/ (* (/ (- x y) (sqrt (+ (* x x) (* y y)))) (sqrt (+ x y))) (fabs (cbrt (+ (* x x) (* y y))))) (* (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (sqrt (+ x y)) (sqrt (sqrt (+ (* x x) (* y y)))))) (/ (* (- x y) (sqrt (+ x y))) (sqrt (+ (* x x) (* y y)))) (* (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (sqrt (+ x y)) (sqrt (sqrt (+ (* x x) (* y y)))))) (/ (* (- x y) (sqrt (+ x y))) (sqrt (+ (* x x) (* y y)))) (/ (/ (- x y) (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))) (/ (/ (- x y) (sqrt (+ (* x x) (* y y)))) (fabs (cbrt (+ (* x x) (* y y))))) (/ (/ (- x y) (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (/ (- x y) (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (/ (- x y) (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))) (/ (/ (- x y) (sqrt (+ (* x x) (* y y)))) (fabs (cbrt (+ (* x x) (* y y))))) (/ (/ (- x y) (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (/ (- x y) (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (- x y) (sqrt (+ (* x x) (* y y)))) (* (/ (- x y) (sqrt (+ (* x x) (* y y)))) (+ x y)) (* (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))))) (* (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))))) (* (cbrt (/ (- x y) (sqrt (+ (* x x) (* y y))))) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (* (sqrt (/ (- x y) (sqrt (+ (* x x) (* y y))))) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (* (/ (cbrt (- x y)) (cbrt (sqrt (+ (* x x) (* y y))))) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (* (/ (cbrt (- x y)) (sqrt (cbrt (+ (* x x) (* y y))))) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (* (/ (cbrt (- x y)) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (* (/ (cbrt (- x y)) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (* (/ (cbrt (- x y)) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (* (/ (cbrt (- x y)) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (* (/ (sqrt (- x y)) (cbrt (sqrt (+ (* x x) (* y y))))) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (* (/ (sqrt (- x y)) (sqrt (cbrt (+ (* x x) (* y y))))) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (* (/ (sqrt (- x y)) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (* (/ (sqrt (- x y)) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (* (/ (sqrt (- x y)) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (* (/ (sqrt (- x y)) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (* (/ (- x y) (cbrt (sqrt (+ (* x x) (* y y))))) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (* (/ (- x y) (sqrt (cbrt (+ (* x x) (* y y))))) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (* (/ (- x y) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (/ (- x y) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (/ (- (sqrt x) (sqrt y)) (cbrt (sqrt (+ (* x x) (* y y))))) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (* (/ (- (sqrt x) (sqrt y)) (sqrt (cbrt (+ (* x x) (* y y))))) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (* (/ (- (sqrt x) (sqrt y)) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (* (/ (- (sqrt x) (sqrt y)) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (* (/ (- (sqrt x) (sqrt y)) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (* (/ (- (sqrt x) (sqrt y)) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (* (/ (- x y) (cbrt (sqrt (+ (* x x) (* y y))))) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (* (/ (- x y) (sqrt (cbrt (+ (* x x) (* y y))))) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (* (/ (- x y) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (* (/ (- x y) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (+ x y) (+ (* x x) (* y y))) (* (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (* (sqrt (- (* x x) (* y y))) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (* (/ (- x y) (sqrt (+ (* x x) (* y y)))) (+ x y)) (* (/ (- x y) (sqrt (+ (* x x) (* y y)))) (+ x y)) y x (* -1 x) y x (* -1 x) 1 1 -1 -1 1 1 0.709 * * * [progress]: adding candidates to table 1.077 * * [progress]: iteration 3 / 4 1.077 * * * [progress]: picking best candidate 1.080 * * * * [pick]: Picked # 1.080 * * * [progress]: localizing error 1.090 * * * [progress]: generating rewritten candidates 1.090 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 1.101 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 1.118 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1) 1.144 * * * [progress]: generating series expansions 1.145 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 1.145 * [approximate]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (+ x y)) in (x y) around 0 1.145 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (+ x y)) in y 1.145 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.145 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.145 * [taylor]: Taking taylor expansion of x in y 1.145 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.145 * [taylor]: Taking taylor expansion of y in y 1.145 * [taylor]: Taking taylor expansion of (+ x y) in y 1.145 * [taylor]: Taking taylor expansion of x in y 1.145 * [taylor]: Taking taylor expansion of y in y 1.145 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (+ x y)) in x 1.145 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.145 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.145 * [taylor]: Taking taylor expansion of x in x 1.145 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.145 * [taylor]: Taking taylor expansion of y in x 1.145 * [taylor]: Taking taylor expansion of (+ x y) in x 1.145 * [taylor]: Taking taylor expansion of x in x 1.145 * [taylor]: Taking taylor expansion of y in x 1.146 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (+ x y)) in x 1.146 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.146 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.146 * [taylor]: Taking taylor expansion of x in x 1.146 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.146 * [taylor]: Taking taylor expansion of y in x 1.146 * [taylor]: Taking taylor expansion of (+ x y) in x 1.146 * [taylor]: Taking taylor expansion of x in x 1.146 * [taylor]: Taking taylor expansion of y in x 1.146 * [taylor]: Taking taylor expansion of y in y 1.147 * [taylor]: Taking taylor expansion of (- 1) in y 1.147 * [taylor]: Taking taylor expansion of 1 in y 1.149 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 1.149 * [taylor]: Taking taylor expansion of 2 in y 1.149 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.149 * [taylor]: Taking taylor expansion of y in y 1.152 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 1.152 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.152 * [taylor]: Taking taylor expansion of 2 in y 1.152 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.152 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.152 * [taylor]: Taking taylor expansion of y in y 1.156 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in (x y) around 0 1.156 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in y 1.156 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.156 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.156 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.156 * [taylor]: Taking taylor expansion of x in y 1.157 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.157 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.157 * [taylor]: Taking taylor expansion of y in y 1.157 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.157 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.157 * [taylor]: Taking taylor expansion of y in y 1.157 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.157 * [taylor]: Taking taylor expansion of x in y 1.158 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in x 1.158 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.158 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.158 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.158 * [taylor]: Taking taylor expansion of x in x 1.159 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.159 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.159 * [taylor]: Taking taylor expansion of y in x 1.159 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.159 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.159 * [taylor]: Taking taylor expansion of y in x 1.159 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.159 * [taylor]: Taking taylor expansion of x in x 1.160 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in x 1.160 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.160 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.160 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.160 * [taylor]: Taking taylor expansion of x in x 1.161 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.161 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.161 * [taylor]: Taking taylor expansion of y in x 1.161 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.161 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.161 * [taylor]: Taking taylor expansion of y in x 1.161 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.161 * [taylor]: Taking taylor expansion of x in x 1.162 * [taylor]: Taking taylor expansion of 1 in y 1.164 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 1.164 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.164 * [taylor]: Taking taylor expansion of y in y 1.167 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.167 * [taylor]: Taking taylor expansion of 2 in y 1.167 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.167 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.167 * [taylor]: Taking taylor expansion of y in y 1.173 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 3)))) in y 1.173 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 1.173 * [taylor]: Taking taylor expansion of 2 in y 1.173 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.173 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.173 * [taylor]: Taking taylor expansion of y in y 1.179 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 1.179 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x)))) in y 1.179 * [taylor]: Taking taylor expansion of -1 in y 1.179 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in y 1.180 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.180 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.180 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.180 * [taylor]: Taking taylor expansion of x in y 1.180 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.180 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.180 * [taylor]: Taking taylor expansion of y in y 1.180 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.180 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.180 * [taylor]: Taking taylor expansion of y in y 1.181 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.181 * [taylor]: Taking taylor expansion of x in y 1.181 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x)))) in x 1.181 * [taylor]: Taking taylor expansion of -1 in x 1.181 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in x 1.181 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.181 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.181 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.181 * [taylor]: Taking taylor expansion of x in x 1.182 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.182 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.182 * [taylor]: Taking taylor expansion of y in x 1.182 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.182 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.182 * [taylor]: Taking taylor expansion of y in x 1.182 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.182 * [taylor]: Taking taylor expansion of x in x 1.183 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x)))) in x 1.183 * [taylor]: Taking taylor expansion of -1 in x 1.183 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in x 1.183 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.183 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.183 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.183 * [taylor]: Taking taylor expansion of x in x 1.184 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.184 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.184 * [taylor]: Taking taylor expansion of y in x 1.184 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.184 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.184 * [taylor]: Taking taylor expansion of y in x 1.184 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.184 * [taylor]: Taking taylor expansion of x in x 1.186 * [taylor]: Taking taylor expansion of -1 in y 1.188 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.188 * [taylor]: Taking taylor expansion of y in y 1.191 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 1.191 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.191 * [taylor]: Taking taylor expansion of 2 in y 1.191 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.191 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.191 * [taylor]: Taking taylor expansion of y in y 1.197 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 1.197 * [taylor]: Taking taylor expansion of 2 in y 1.197 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.197 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.197 * [taylor]: Taking taylor expansion of y in y 1.203 * * * * [progress]: [ 2 / 3 ] generating series at (2) 1.204 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0 1.204 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 1.204 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 1.204 * [taylor]: Taking taylor expansion of (+ x y) in y 1.204 * [taylor]: Taking taylor expansion of x in y 1.204 * [taylor]: Taking taylor expansion of y in y 1.204 * [taylor]: Taking taylor expansion of (- x y) in y 1.204 * [taylor]: Taking taylor expansion of x in y 1.204 * [taylor]: Taking taylor expansion of y in y 1.204 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.204 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.204 * [taylor]: Taking taylor expansion of x in y 1.204 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.204 * [taylor]: Taking taylor expansion of y in y 1.204 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 1.204 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 1.204 * [taylor]: Taking taylor expansion of (+ x y) in x 1.204 * [taylor]: Taking taylor expansion of x in x 1.205 * [taylor]: Taking taylor expansion of y in x 1.205 * [taylor]: Taking taylor expansion of (- x y) in x 1.205 * [taylor]: Taking taylor expansion of x in x 1.205 * [taylor]: Taking taylor expansion of y in x 1.205 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.205 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.205 * [taylor]: Taking taylor expansion of x in x 1.205 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.205 * [taylor]: Taking taylor expansion of y in x 1.205 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 1.205 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 1.205 * [taylor]: Taking taylor expansion of (+ x y) in x 1.205 * [taylor]: Taking taylor expansion of x in x 1.205 * [taylor]: Taking taylor expansion of y in x 1.205 * [taylor]: Taking taylor expansion of (- x y) in x 1.205 * [taylor]: Taking taylor expansion of x in x 1.205 * [taylor]: Taking taylor expansion of y in x 1.205 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.205 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.205 * [taylor]: Taking taylor expansion of x in x 1.205 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.205 * [taylor]: Taking taylor expansion of y in x 1.205 * [taylor]: Taking taylor expansion of -1 in y 1.207 * [taylor]: Taking taylor expansion of 0 in y 1.209 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.209 * [taylor]: Taking taylor expansion of 2 in y 1.209 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.209 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.209 * [taylor]: Taking taylor expansion of y in y 1.214 * [taylor]: Taking taylor expansion of 0 in y 1.215 * [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 1.215 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.215 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 1.215 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 1.220 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.220 * [taylor]: Taking taylor expansion of x in y 1.220 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.220 * [taylor]: Taking taylor expansion of y in y 1.220 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.220 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.221 * [taylor]: Taking taylor expansion of y in y 1.221 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.221 * [taylor]: Taking taylor expansion of x in y 1.221 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.221 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.221 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.221 * [taylor]: Taking taylor expansion of x in y 1.221 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.221 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.221 * [taylor]: Taking taylor expansion of y in y 1.223 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.223 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 1.223 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.223 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.223 * [taylor]: Taking taylor expansion of x in x 1.224 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.224 * [taylor]: Taking taylor expansion of y in x 1.224 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.224 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.224 * [taylor]: Taking taylor expansion of y in x 1.224 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.224 * [taylor]: Taking taylor expansion of x in x 1.224 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.224 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.224 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.224 * [taylor]: Taking taylor expansion of x in x 1.225 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.225 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.225 * [taylor]: Taking taylor expansion of y in x 1.226 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.226 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 1.226 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.226 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.226 * [taylor]: Taking taylor expansion of x in x 1.227 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.227 * [taylor]: Taking taylor expansion of y in x 1.227 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.227 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.227 * [taylor]: Taking taylor expansion of y in x 1.227 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.227 * [taylor]: Taking taylor expansion of x in x 1.227 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.227 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.227 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.227 * [taylor]: Taking taylor expansion of x in x 1.228 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.228 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.228 * [taylor]: Taking taylor expansion of y in x 1.229 * [taylor]: Taking taylor expansion of 1 in y 1.232 * [taylor]: Taking taylor expansion of 0 in y 1.236 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 1.236 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.236 * [taylor]: Taking taylor expansion of 2 in y 1.236 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.236 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.236 * [taylor]: Taking taylor expansion of y in y 1.244 * [taylor]: Taking taylor expansion of 0 in y 1.244 * [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 1.244 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 1.244 * [taylor]: Taking taylor expansion of -1 in y 1.244 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.244 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 1.244 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.244 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.244 * [taylor]: Taking taylor expansion of y in y 1.245 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.245 * [taylor]: Taking taylor expansion of x in y 1.245 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 1.245 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.245 * [taylor]: Taking taylor expansion of y in y 1.245 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.245 * [taylor]: Taking taylor expansion of x in y 1.245 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.245 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.245 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.245 * [taylor]: Taking taylor expansion of x in y 1.245 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.245 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.245 * [taylor]: Taking taylor expansion of y in y 1.247 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.247 * [taylor]: Taking taylor expansion of -1 in x 1.247 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.247 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 1.247 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.247 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.247 * [taylor]: Taking taylor expansion of y in x 1.247 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.247 * [taylor]: Taking taylor expansion of x in x 1.248 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.248 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.248 * [taylor]: Taking taylor expansion of y in x 1.248 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.248 * [taylor]: Taking taylor expansion of x in x 1.248 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.248 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.248 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.248 * [taylor]: Taking taylor expansion of x in x 1.249 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.249 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.249 * [taylor]: Taking taylor expansion of y in x 1.250 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.250 * [taylor]: Taking taylor expansion of -1 in x 1.250 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.250 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 1.250 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.250 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.250 * [taylor]: Taking taylor expansion of y in x 1.250 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.250 * [taylor]: Taking taylor expansion of x in x 1.251 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.251 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.251 * [taylor]: Taking taylor expansion of y in x 1.251 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.251 * [taylor]: Taking taylor expansion of x in x 1.251 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.251 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.251 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.251 * [taylor]: Taking taylor expansion of x in x 1.252 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.252 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.252 * [taylor]: Taking taylor expansion of y in x 1.254 * [taylor]: Taking taylor expansion of 1 in y 1.257 * [taylor]: Taking taylor expansion of 0 in y 1.261 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 1.261 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.261 * [taylor]: Taking taylor expansion of 2 in y 1.261 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.261 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.261 * [taylor]: Taking taylor expansion of y in y 1.270 * [taylor]: Taking taylor expansion of 0 in y 1.270 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1) 1.270 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 1.270 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.270 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.270 * [taylor]: Taking taylor expansion of x in y 1.270 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.270 * [taylor]: Taking taylor expansion of y in y 1.270 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.270 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.270 * [taylor]: Taking taylor expansion of x in x 1.270 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.270 * [taylor]: Taking taylor expansion of y in x 1.270 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.270 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.270 * [taylor]: Taking taylor expansion of x in x 1.271 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.271 * [taylor]: Taking taylor expansion of y in x 1.271 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.271 * [taylor]: Taking taylor expansion of y in y 1.271 * [taylor]: Taking taylor expansion of 0 in y 1.272 * [taylor]: Taking taylor expansion of 1 in y 1.273 * [taylor]: Taking taylor expansion of 0 in y 1.275 * [taylor]: Taking taylor expansion of 0 in y 1.276 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 1.276 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.276 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.276 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.276 * [taylor]: Taking taylor expansion of x in y 1.276 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.276 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.276 * [taylor]: Taking taylor expansion of y in y 1.276 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.276 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.276 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.276 * [taylor]: Taking taylor expansion of x in x 1.277 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.277 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.277 * [taylor]: Taking taylor expansion of y in x 1.277 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.277 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.277 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.277 * [taylor]: Taking taylor expansion of x in x 1.278 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.278 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.278 * [taylor]: Taking taylor expansion of y in x 1.278 * [taylor]: Taking taylor expansion of 1 in y 1.279 * [taylor]: Taking taylor expansion of 0 in y 1.280 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.280 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.280 * [taylor]: Taking taylor expansion of y in y 1.282 * [taylor]: Taking taylor expansion of 0 in y 1.285 * [taylor]: Taking taylor expansion of 0 in y 1.287 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 1.287 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.287 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.287 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.287 * [taylor]: Taking taylor expansion of x in y 1.287 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.287 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.287 * [taylor]: Taking taylor expansion of y in y 1.287 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.287 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.287 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.287 * [taylor]: Taking taylor expansion of x in x 1.288 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.288 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.288 * [taylor]: Taking taylor expansion of y in x 1.288 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.288 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.288 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.288 * [taylor]: Taking taylor expansion of x in x 1.288 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.289 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.289 * [taylor]: Taking taylor expansion of y in x 1.289 * [taylor]: Taking taylor expansion of 1 in y 1.290 * [taylor]: Taking taylor expansion of 0 in y 1.291 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.291 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.291 * [taylor]: Taking taylor expansion of y in y 1.293 * [taylor]: Taking taylor expansion of 0 in y 1.296 * [taylor]: Taking taylor expansion of 0 in y 1.297 * * * [progress]: simplifying candidates 1.301 * [simplify]: Simplifying using # : (- (log (+ (pow x 2) (pow y 2))) (log (+ x y))) (log (/ (+ (pow x 2) (pow y 2)) (+ x y))) (exp (/ (+ (pow x 2) (pow y 2)) (+ x y))) (/ (* (* (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2))) (+ (pow x 2) (pow y 2))) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (/ (+ (pow x 2) (pow y 2)) (+ x y))) (cbrt (/ (+ (pow x 2) (pow y 2)) (+ x y)))) (cbrt (/ (+ (pow x 2) (pow y 2)) (+ 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))) (sqrt (/ (+ (pow x 2) (pow y 2)) (+ x y))) (sqrt (/ (+ (pow x 2) (pow y 2)) (+ x y))) (- (+ (pow x 2) (pow y 2))) (- (+ x y)) (/ (* (cbrt (+ (pow x 2) (pow y 2))) (cbrt (+ (pow x 2) (pow y 2)))) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (cbrt (+ (pow x 2) (pow y 2))) (cbrt (+ x y))) (/ (* (cbrt (+ (pow x 2) (pow y 2))) (cbrt (+ (pow x 2) (pow y 2)))) (sqrt (+ x y))) (/ (cbrt (+ (pow x 2) (pow y 2))) (sqrt (+ x y))) (/ (* (cbrt (+ (pow x 2) (pow y 2))) (cbrt (+ (pow x 2) (pow y 2)))) 1) (/ (cbrt (+ (pow x 2) (pow y 2))) (+ x y)) (/ (* (cbrt (+ (pow x 2) (pow y 2))) (cbrt (+ (pow x 2) (pow y 2)))) 1) (/ (cbrt (+ (pow x 2) (pow y 2))) (+ x y)) (/ (sqrt (+ (pow x 2) (pow y 2))) (* (cbrt (+ x y)) (cbrt (+ x y)))) (/ (sqrt (+ (pow x 2) (pow y 2))) (cbrt (+ x y))) (/ (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ x y))) (/ (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ x y))) (/ (sqrt (+ (pow x 2) (pow y 2))) 1) (/ (sqrt (+ (pow x 2) (pow y 2))) (+ x 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(pow y 2))) (+ (pow x 4) (- (pow y 4))) (- (* x x) (* y y)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (- y x) (- 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)) 1.398 * * * [progress]: adding candidates to table 1.799 * * [progress]: iteration 4 / 4 1.799 * * * [progress]: picking best candidate 1.800 * * * * [pick]: Picked # 1.800 * * * [progress]: localizing error 1.801 * * * [progress]: generating rewritten candidates 1.801 * * * [progress]: generating series expansions 1.801 * * * [progress]: simplifying candidates 1.801 * [simplify]: Simplifying using # : 1.803 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 1.803 * [simplify]: Simplified to: 1.803 * * * [progress]: adding candidates to table 1.803 * [progress]: [Phase 3 of 3] Extracting. 1.803 * * [regime]: Finding splitpoints for: (# # # #) 1.804 * * * [regime-changes]: Trying 2 branch expressions: (y x) 1.804 * * * * [regimes]: Trying to branch on y from (# # # #) 1.835 * * * * [regimes]: Trying to branch on x from (# # # #) 1.853 * * * [regime]: Found split indices: #