5.351 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.020 * * * [progress]: [2/2] Setting up program. 0.022 * [progress]: [Phase 2 of 3] Improving. 0.022 * [simplify]: Simplifying using # : (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 0.025 * * [simplify]: iteration 0 : 22 enodes (cost 7 ) 0.026 * * [simplify]: iteration 1 : 48 enodes (cost 7 ) 0.028 * * [simplify]: iteration 2 : 104 enodes (cost 7 ) 0.030 * * [simplify]: iteration 3 : 196 enodes (cost 7 ) 0.033 * * [simplify]: iteration 4 : 359 enodes (cost 7 ) 0.039 * * [simplify]: iteration 5 : 686 enodes (cost 7 ) 0.049 * * [simplify]: iteration 6 : 1355 enodes (cost 7 ) 0.084 * * [simplify]: iteration 7 : 5001 enodes (cost 7 ) 0.085 * [simplify]: Simplified to: (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 0.085 * * [progress]: iteration 1 / 4 0.085 * * * [progress]: picking best candidate 0.087 * * * * [pick]: Picked # 0.087 * * * [progress]: localizing error 0.095 * * * [progress]: generating rewritten candidates 0.095 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.107 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.110 * * * [progress]: generating series expansions 0.110 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.111 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0 0.111 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 0.111 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 0.111 * [taylor]: Taking taylor expansion of (+ x y) in y 0.111 * [taylor]: Taking taylor expansion of x in y 0.111 * [taylor]: Taking taylor expansion of y in y 0.111 * [taylor]: Taking taylor expansion of (- x y) in y 0.111 * [taylor]: Taking taylor expansion of x in y 0.111 * [taylor]: Taking taylor expansion of y in y 0.111 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.111 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.111 * [taylor]: Taking taylor expansion of x in y 0.111 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.111 * [taylor]: Taking taylor expansion of y in y 0.112 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.112 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.112 * [taylor]: Taking taylor expansion of (+ x y) in x 0.112 * [taylor]: Taking taylor expansion of x in x 0.112 * [taylor]: Taking taylor expansion of y in x 0.112 * [taylor]: Taking taylor expansion of (- x y) in x 0.112 * [taylor]: Taking taylor expansion of x in x 0.112 * [taylor]: Taking taylor expansion of y in x 0.112 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.112 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.112 * [taylor]: Taking taylor expansion of x in x 0.112 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.112 * [taylor]: Taking taylor expansion of y in x 0.112 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.112 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.112 * [taylor]: Taking taylor expansion of (+ x y) in x 0.112 * [taylor]: Taking taylor expansion of x in x 0.112 * [taylor]: Taking taylor expansion of y in x 0.112 * [taylor]: Taking taylor expansion of (- x y) in x 0.112 * [taylor]: Taking taylor expansion of x in x 0.112 * [taylor]: Taking taylor expansion of y in x 0.112 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.112 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.112 * [taylor]: Taking taylor expansion of x in x 0.112 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.112 * [taylor]: Taking taylor expansion of y in x 0.113 * [taylor]: Taking taylor expansion of -1 in y 0.114 * [taylor]: Taking taylor expansion of 0 in y 0.116 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.116 * [taylor]: Taking taylor expansion of 2 in y 0.116 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.116 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.116 * [taylor]: Taking taylor expansion of y in y 0.126 * [taylor]: Taking taylor expansion of 0 in y 0.126 * [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 0.126 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.126 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.126 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.126 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.126 * [taylor]: Taking taylor expansion of x in y 0.126 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.126 * [taylor]: Taking taylor expansion of y in y 0.126 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.126 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.126 * [taylor]: Taking taylor expansion of y in y 0.127 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.127 * [taylor]: Taking taylor expansion of x in y 0.127 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.127 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.127 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.127 * [taylor]: Taking taylor expansion of x in y 0.127 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.127 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.127 * [taylor]: Taking taylor expansion of y in y 0.129 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.129 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.129 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.129 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.129 * [taylor]: Taking taylor expansion of x in x 0.129 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.129 * [taylor]: Taking taylor expansion of y in x 0.129 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.129 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.129 * [taylor]: Taking taylor expansion of y in x 0.129 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.129 * [taylor]: Taking taylor expansion of x in x 0.130 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.130 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.130 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.130 * [taylor]: Taking taylor expansion of x in x 0.130 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.130 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.130 * [taylor]: Taking taylor expansion of y in x 0.132 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.132 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.132 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.132 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.132 * [taylor]: Taking taylor expansion of x in x 0.132 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.132 * [taylor]: Taking taylor expansion of y in x 0.132 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.132 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.132 * [taylor]: Taking taylor expansion of y in x 0.132 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.132 * [taylor]: Taking taylor expansion of x in x 0.132 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.132 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.132 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.132 * [taylor]: Taking taylor expansion of x in x 0.133 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.133 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.133 * [taylor]: Taking taylor expansion of y in x 0.134 * [taylor]: Taking taylor expansion of 1 in y 0.137 * [taylor]: Taking taylor expansion of 0 in y 0.141 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.141 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.141 * [taylor]: Taking taylor expansion of 2 in y 0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.141 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.141 * [taylor]: Taking taylor expansion of y in y 0.149 * [taylor]: Taking taylor expansion of 0 in y 0.149 * [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 0.149 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.149 * [taylor]: Taking taylor expansion of -1 in y 0.149 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.150 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.150 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.150 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.150 * [taylor]: Taking taylor expansion of y in y 0.150 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.150 * [taylor]: Taking taylor expansion of x in y 0.150 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.150 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.150 * [taylor]: Taking taylor expansion of y in y 0.150 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.150 * [taylor]: Taking taylor expansion of x in y 0.150 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.150 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.150 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.150 * [taylor]: Taking taylor expansion of x in y 0.150 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.150 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.150 * [taylor]: Taking taylor expansion of y in y 0.152 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.152 * [taylor]: Taking taylor expansion of -1 in x 0.152 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.152 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.152 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.152 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.152 * [taylor]: Taking taylor expansion of y in x 0.152 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.152 * [taylor]: Taking taylor expansion of x in x 0.153 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.153 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.153 * [taylor]: Taking taylor expansion of y in x 0.153 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.153 * [taylor]: Taking taylor expansion of x in x 0.153 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.153 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.153 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.153 * [taylor]: Taking taylor expansion of x in x 0.153 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.153 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.153 * [taylor]: Taking taylor expansion of y in x 0.155 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.155 * [taylor]: Taking taylor expansion of -1 in x 0.155 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.155 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.155 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.155 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.155 * [taylor]: Taking taylor expansion of y in x 0.155 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.155 * [taylor]: Taking taylor expansion of x in x 0.155 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.156 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.156 * [taylor]: Taking taylor expansion of y in x 0.156 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.156 * [taylor]: Taking taylor expansion of x in x 0.156 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.156 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.156 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.156 * [taylor]: Taking taylor expansion of x in x 0.156 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.156 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.156 * [taylor]: Taking taylor expansion of y in x 0.158 * [taylor]: Taking taylor expansion of 1 in y 0.161 * [taylor]: Taking taylor expansion of 0 in y 0.166 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.166 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.166 * [taylor]: Taking taylor expansion of 2 in y 0.166 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.166 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.166 * [taylor]: Taking taylor expansion of y in y 0.174 * [taylor]: Taking taylor expansion of 0 in y 0.174 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.174 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.174 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.174 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.174 * [taylor]: Taking taylor expansion of x in y 0.174 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.174 * [taylor]: Taking taylor expansion of y in y 0.174 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.174 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.174 * [taylor]: Taking taylor expansion of x in x 0.174 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.174 * [taylor]: Taking taylor expansion of y in x 0.174 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.174 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.174 * [taylor]: Taking taylor expansion of x in x 0.174 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.175 * [taylor]: Taking taylor expansion of y in x 0.175 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.175 * [taylor]: Taking taylor expansion of y in y 0.175 * [taylor]: Taking taylor expansion of 0 in y 0.176 * [taylor]: Taking taylor expansion of 1 in y 0.177 * [taylor]: Taking taylor expansion of 0 in y 0.179 * [taylor]: Taking taylor expansion of 0 in y 0.179 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.179 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.179 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.179 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.179 * [taylor]: Taking taylor expansion of x in y 0.179 * [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 0.180 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.180 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.180 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.180 * [taylor]: Taking taylor expansion of x in x 0.181 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.181 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.181 * [taylor]: Taking taylor expansion of y in x 0.181 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.181 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.181 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.181 * [taylor]: Taking taylor expansion of x in x 0.181 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.181 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.181 * [taylor]: Taking taylor expansion of y in x 0.182 * [taylor]: Taking taylor expansion of 1 in y 0.183 * [taylor]: Taking taylor expansion of 0 in y 0.184 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.184 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.184 * [taylor]: Taking taylor expansion of y in y 0.186 * [taylor]: Taking taylor expansion of 0 in y 0.189 * [taylor]: Taking taylor expansion of 0 in y 0.190 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.190 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.190 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.190 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.190 * [taylor]: Taking taylor expansion of x in y 0.190 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.190 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.190 * [taylor]: Taking taylor expansion of y in y 0.191 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.191 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.191 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.191 * [taylor]: Taking taylor expansion of x in x 0.191 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.191 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.191 * [taylor]: Taking taylor expansion of y in x 0.191 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.191 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.191 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.191 * [taylor]: Taking taylor expansion of x in x 0.192 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.192 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.192 * [taylor]: Taking taylor expansion of y in x 0.192 * [taylor]: Taking taylor expansion of 1 in y 0.193 * [taylor]: Taking taylor expansion of 0 in y 0.194 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.194 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.194 * [taylor]: Taking taylor expansion of y in y 0.196 * [taylor]: Taking taylor expansion of 0 in y 0.199 * [taylor]: Taking taylor expansion of 0 in y 0.200 * * * [progress]: simplifying candidates 0.201 * [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)) 0.208 * * [simplify]: iteration 0 : 308 enodes (cost 388 ) 0.215 * * [simplify]: iteration 1 : 1848 enodes (cost 330 ) 0.244 * * [simplify]: iteration 2 : 5001 enodes (cost 322 ) 0.246 * [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)) 0.246 * * * [progress]: adding candidates to table 0.354 * * [progress]: iteration 2 / 4 0.354 * * * [progress]: picking best candidate 0.360 * * * * [pick]: Picked # 0.360 * * * [progress]: localizing error 0.361 * * * [progress]: generating rewritten candidates 0.361 * * * [progress]: generating series expansions 0.361 * * * [progress]: simplifying candidates 0.361 * [simplify]: Simplifying using # : 0.363 * * [simplify]: iteration 0 : 0 enodes (cost 0 ) 0.363 * [simplify]: Simplified to: 0.363 * * * [progress]: adding candidates to table 0.364 * * [progress]: iteration 3 / 4 0.364 * * * [progress]: picking best candidate 0.370 * * * * [pick]: Picked # 0.370 * * * [progress]: localizing error 0.381 * * * [progress]: generating rewritten candidates 0.381 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 0.384 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.388 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.447 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.465 * * * [progress]: generating series expansions 0.465 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 0.466 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.466 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.466 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.466 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.466 * [taylor]: Taking taylor expansion of x in y 0.466 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.466 * [taylor]: Taking taylor expansion of y in y 0.467 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.467 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.467 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.467 * [taylor]: Taking taylor expansion of x in x 0.467 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.467 * [taylor]: Taking taylor expansion of y in x 0.467 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.468 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 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 0.468 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.468 * [taylor]: Taking taylor expansion of y in x 0.468 * [taylor]: Taking taylor expansion of y in y 0.468 * [taylor]: Taking taylor expansion of 0 in y 0.470 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.470 * [taylor]: Taking taylor expansion of 1/2 in y 0.470 * [taylor]: Taking taylor expansion of y in y 0.472 * [taylor]: Taking taylor expansion of 0 in y 0.473 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.473 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.473 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.473 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.473 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.473 * [taylor]: Taking taylor expansion of x in y 0.473 * [taylor]: Taking taylor expansion of (/ 1 (pow y 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 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.476 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.476 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.476 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.476 * [taylor]: Taking taylor expansion of x in x 0.476 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.476 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.476 * [taylor]: Taking taylor expansion of y in x 0.478 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.479 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.479 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.479 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.479 * [taylor]: Taking taylor expansion of x in x 0.479 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.479 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.479 * [taylor]: Taking taylor expansion of y in x 0.481 * [taylor]: Taking taylor expansion of 1 in y 0.481 * [taylor]: Taking taylor expansion of 0 in y 0.488 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.488 * [taylor]: Taking taylor expansion of 1/2 in y 0.488 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.488 * [taylor]: Taking taylor expansion of y in y 0.491 * [taylor]: Taking taylor expansion of 0 in y 0.493 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.493 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.493 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.493 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.493 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.493 * [taylor]: Taking taylor expansion of x in y 0.493 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.493 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.493 * [taylor]: Taking taylor expansion of y in y 0.495 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.495 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.495 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.495 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.495 * [taylor]: Taking taylor expansion of x in x 0.496 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.496 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.496 * [taylor]: Taking taylor expansion of y in x 0.498 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.498 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.498 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.498 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.498 * [taylor]: Taking taylor expansion of x in x 0.498 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.499 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.499 * [taylor]: Taking taylor expansion of y in x 0.501 * [taylor]: Taking taylor expansion of 1 in y 0.501 * [taylor]: Taking taylor expansion of 0 in y 0.503 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.503 * [taylor]: Taking taylor expansion of 1/2 in y 0.503 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.503 * [taylor]: Taking taylor expansion of y in y 0.506 * [taylor]: Taking taylor expansion of 0 in y 0.507 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.507 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.507 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.507 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.507 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.507 * [taylor]: Taking taylor expansion of x in y 0.507 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.507 * [taylor]: Taking taylor expansion of y in y 0.508 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.508 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.508 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.508 * [taylor]: Taking taylor expansion of x in x 0.508 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.508 * [taylor]: Taking taylor expansion of y in x 0.508 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.508 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.508 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.508 * [taylor]: Taking taylor expansion of x in x 0.508 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.508 * [taylor]: Taking taylor expansion of y in x 0.509 * [taylor]: Taking taylor expansion of y in y 0.509 * [taylor]: Taking taylor expansion of 0 in y 0.510 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.510 * [taylor]: Taking taylor expansion of 1/2 in y 0.510 * [taylor]: Taking taylor expansion of y in y 0.512 * [taylor]: Taking taylor expansion of 0 in y 0.513 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.513 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.513 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.513 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.513 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.513 * [taylor]: Taking taylor expansion of x in y 0.513 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.513 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.513 * [taylor]: Taking taylor expansion of y in y 0.516 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.516 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.516 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.516 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.516 * [taylor]: Taking taylor expansion of x in x 0.517 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.517 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.517 * [taylor]: Taking taylor expansion of y in x 0.519 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.519 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.519 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.519 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.519 * [taylor]: Taking taylor expansion of x in x 0.519 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.520 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.520 * [taylor]: Taking taylor expansion of y in x 0.522 * [taylor]: Taking taylor expansion of 1 in y 0.522 * [taylor]: Taking taylor expansion of 0 in y 0.524 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.524 * [taylor]: Taking taylor expansion of 1/2 in y 0.524 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.524 * [taylor]: Taking taylor expansion of y in y 0.527 * [taylor]: Taking taylor expansion of 0 in y 0.528 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.528 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.528 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.528 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.528 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.528 * [taylor]: Taking taylor expansion of x in y 0.529 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.529 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.529 * [taylor]: Taking taylor expansion of y in y 0.531 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.531 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.531 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.531 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.531 * [taylor]: Taking taylor expansion of x in x 0.532 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.532 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.532 * [taylor]: Taking taylor expansion of y in x 0.534 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.534 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.534 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.534 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.534 * [taylor]: Taking taylor expansion of x in x 0.534 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.534 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.534 * [taylor]: Taking taylor expansion of y in x 0.536 * [taylor]: Taking taylor expansion of 1 in y 0.536 * [taylor]: Taking taylor expansion of 0 in y 0.538 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.538 * [taylor]: Taking taylor expansion of 1/2 in y 0.538 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.538 * [taylor]: Taking taylor expansion of y in y 0.542 * [taylor]: Taking taylor expansion of 0 in y 0.543 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.543 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0 0.543 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 0.543 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 0.543 * [taylor]: Taking taylor expansion of (+ x y) in y 0.543 * [taylor]: Taking taylor expansion of x in y 0.543 * [taylor]: Taking taylor expansion of y in y 0.543 * [taylor]: Taking taylor expansion of (- x y) in y 0.543 * [taylor]: Taking taylor expansion of x in y 0.543 * [taylor]: Taking taylor expansion of y in y 0.543 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.543 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.543 * [taylor]: Taking taylor expansion of x in y 0.543 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.543 * [taylor]: Taking taylor expansion of y in y 0.544 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.544 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.544 * [taylor]: Taking taylor expansion of (+ x y) in x 0.544 * [taylor]: Taking taylor expansion of x in x 0.544 * [taylor]: Taking taylor expansion of y in x 0.544 * [taylor]: Taking taylor expansion of (- x y) in x 0.544 * [taylor]: Taking taylor expansion of x in x 0.544 * [taylor]: Taking taylor expansion of y in x 0.544 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.544 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.544 * [taylor]: Taking taylor expansion of x in x 0.544 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.544 * [taylor]: Taking taylor expansion of y in x 0.544 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.544 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.544 * [taylor]: Taking taylor expansion of (+ x y) in x 0.544 * [taylor]: Taking taylor expansion of x in x 0.544 * [taylor]: Taking taylor expansion of y in x 0.544 * [taylor]: Taking taylor expansion of (- x y) in x 0.544 * [taylor]: Taking taylor expansion of x in x 0.544 * [taylor]: Taking taylor expansion of y in x 0.544 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.544 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.545 * [taylor]: Taking taylor expansion of x in x 0.545 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.545 * [taylor]: Taking taylor expansion of y in x 0.545 * [taylor]: Taking taylor expansion of -1 in y 0.546 * [taylor]: Taking taylor expansion of 0 in y 0.548 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.548 * [taylor]: Taking taylor expansion of 2 in y 0.548 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.548 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.548 * [taylor]: Taking taylor expansion of y in y 0.554 * [taylor]: Taking taylor expansion of 0 in y 0.554 * [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 0.554 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.554 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.554 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.554 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.554 * [taylor]: Taking taylor expansion of x in y 0.554 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.554 * [taylor]: Taking taylor expansion of y in y 0.555 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.555 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.555 * [taylor]: Taking taylor expansion of y in y 0.555 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.555 * [taylor]: Taking taylor expansion of x in y 0.555 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.555 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.555 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.555 * [taylor]: Taking taylor expansion of x in y 0.555 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.555 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.555 * [taylor]: Taking taylor expansion of y in y 0.557 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.557 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.557 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.557 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.557 * [taylor]: Taking taylor expansion of x in x 0.558 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.558 * [taylor]: Taking taylor expansion of y in x 0.558 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.558 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.558 * [taylor]: Taking taylor expansion of y in x 0.558 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.558 * [taylor]: Taking taylor expansion of x in x 0.558 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.558 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.558 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.558 * [taylor]: Taking taylor expansion of x in x 0.558 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.558 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.559 * [taylor]: Taking taylor expansion of y in x 0.560 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.560 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.560 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.560 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.560 * [taylor]: Taking taylor expansion of x in x 0.560 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.560 * [taylor]: Taking taylor expansion of y in x 0.560 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.560 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.560 * [taylor]: Taking taylor expansion of y in x 0.560 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.560 * [taylor]: Taking taylor expansion of x in x 0.561 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.561 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.561 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.561 * [taylor]: Taking taylor expansion of x in x 0.561 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.561 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.561 * [taylor]: Taking taylor expansion of y in x 0.563 * [taylor]: Taking taylor expansion of 1 in y 0.565 * [taylor]: Taking taylor expansion of 0 in y 0.569 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.569 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.569 * [taylor]: Taking taylor expansion of 2 in y 0.569 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.569 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.569 * [taylor]: Taking taylor expansion of y in y 0.580 * [taylor]: Taking taylor expansion of 0 in y 0.580 * [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 0.580 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.580 * [taylor]: Taking taylor expansion of -1 in y 0.580 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.580 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.580 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.581 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.581 * [taylor]: Taking taylor expansion of y in y 0.581 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.581 * [taylor]: Taking taylor expansion of x in y 0.581 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.581 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.581 * [taylor]: Taking taylor expansion of y in y 0.581 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.581 * [taylor]: Taking taylor expansion of x in y 0.581 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.581 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.581 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.581 * [taylor]: Taking taylor expansion of x 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 0.583 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.583 * [taylor]: Taking taylor expansion of -1 in x 0.583 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.583 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.583 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.583 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.583 * [taylor]: Taking taylor expansion of y in x 0.583 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.583 * [taylor]: Taking taylor expansion of x in x 0.583 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.584 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.584 * [taylor]: Taking taylor expansion of y in x 0.584 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.584 * [taylor]: Taking taylor expansion of x in x 0.584 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.584 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.584 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.584 * [taylor]: Taking taylor expansion of x in x 0.584 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.584 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.584 * [taylor]: Taking taylor expansion of y in x 0.586 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.586 * [taylor]: Taking taylor expansion of -1 in x 0.586 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.586 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.586 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.586 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.586 * [taylor]: Taking taylor expansion of y in x 0.586 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.586 * [taylor]: Taking taylor expansion of x in x 0.586 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.586 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.586 * [taylor]: Taking taylor expansion of y in x 0.586 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.587 * [taylor]: Taking taylor expansion of x in x 0.587 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.587 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.587 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.587 * [taylor]: Taking taylor expansion of x in x 0.587 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.587 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.587 * [taylor]: Taking taylor expansion of y in x 0.589 * [taylor]: Taking taylor expansion of 1 in y 0.592 * [taylor]: Taking taylor expansion of 0 in y 0.597 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.597 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.597 * [taylor]: Taking taylor expansion of 2 in y 0.597 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.597 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.597 * [taylor]: Taking taylor expansion of y in y 0.606 * [taylor]: Taking taylor expansion of 0 in y 0.606 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.606 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) (+ x y)) in (x y) around 0 0.606 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) (+ x y)) in y 0.606 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) in y 0.606 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (pow y 2))) in y 0.606 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.606 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.606 * [taylor]: Taking taylor expansion of x in y 0.606 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.606 * [taylor]: Taking taylor expansion of y in y 0.607 * [taylor]: Taking taylor expansion of (+ x y) in y 0.607 * [taylor]: Taking taylor expansion of x in y 0.607 * [taylor]: Taking taylor expansion of y in y 0.607 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) (+ x y)) in x 0.607 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) in x 0.607 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (pow y 2))) in x 0.607 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.607 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.607 * [taylor]: Taking taylor expansion of x in x 0.607 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.607 * [taylor]: Taking taylor expansion of y in x 0.608 * [taylor]: Taking taylor expansion of (+ x y) in x 0.608 * [taylor]: Taking taylor expansion of x in x 0.608 * [taylor]: Taking taylor expansion of y in x 0.608 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) (+ x y)) in x 0.608 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) in x 0.608 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (pow y 2))) in x 0.608 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.608 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.608 * [taylor]: Taking taylor expansion of x in x 0.608 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.608 * [taylor]: Taking taylor expansion of y in x 0.609 * [taylor]: Taking taylor expansion of (+ x y) in x 0.609 * [taylor]: Taking taylor expansion of x in x 0.609 * [taylor]: Taking taylor expansion of y in x 0.609 * [taylor]: Taking taylor expansion of 1 in y 0.609 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.609 * [taylor]: Taking taylor expansion of y in y 0.612 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 2)))) in y 0.612 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 0.612 * [taylor]: Taking taylor expansion of 1/2 in y 0.612 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.612 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.612 * [taylor]: Taking taylor expansion of y in y 0.618 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 3)))) in y 0.618 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 0.618 * [taylor]: Taking taylor expansion of 1/2 in y 0.618 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.618 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.618 * [taylor]: Taking taylor expansion of y in y 0.624 * [approximate]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in (x y) around 0 0.624 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 0.624 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.624 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.624 * [taylor]: Taking taylor expansion of y in y 0.625 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.625 * [taylor]: Taking taylor expansion of x in y 0.625 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.625 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.625 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.625 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.625 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.625 * [taylor]: Taking taylor expansion of x in y 0.625 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.625 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.625 * [taylor]: Taking taylor expansion of y in y 0.628 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.628 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.628 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.628 * [taylor]: Taking taylor expansion of y in x 0.628 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.628 * [taylor]: Taking taylor expansion of x in x 0.628 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.628 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.628 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.628 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.628 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.628 * [taylor]: Taking taylor expansion of x in x 0.629 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.629 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.629 * [taylor]: Taking taylor expansion of y in x 0.632 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.632 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.632 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.632 * [taylor]: Taking taylor expansion of y in x 0.632 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.632 * [taylor]: Taking taylor expansion of x in x 0.632 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.632 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.632 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.632 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.632 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.632 * [taylor]: Taking taylor expansion of x in x 0.633 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.633 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.633 * [taylor]: Taking taylor expansion of y in x 0.636 * [taylor]: Taking taylor expansion of 1 in y 0.636 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.637 * [taylor]: Taking taylor expansion of y in y 0.641 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 2)))) in y 0.641 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 0.641 * [taylor]: Taking taylor expansion of 1/2 in y 0.641 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.641 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.641 * [taylor]: Taking taylor expansion of y in y 0.649 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 3)))) in y 0.649 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 0.649 * [taylor]: Taking taylor expansion of 1/2 in y 0.649 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.649 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.649 * [taylor]: Taking taylor expansion of y in y 0.655 * [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 0.655 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))))) in y 0.655 * [taylor]: Taking taylor expansion of -1 in y 0.655 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 0.655 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.655 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.655 * [taylor]: Taking taylor expansion of y in y 0.655 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.655 * [taylor]: Taking taylor expansion of x in y 0.655 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.655 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.655 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.655 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.655 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.655 * [taylor]: Taking taylor expansion of x in y 0.656 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.656 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.656 * [taylor]: Taking taylor expansion of y in y 0.661 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))))) in x 0.661 * [taylor]: Taking taylor expansion of -1 in x 0.661 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.661 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.661 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.661 * [taylor]: Taking taylor expansion of y in x 0.661 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.661 * [taylor]: Taking taylor expansion of x in x 0.662 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.662 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.662 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.662 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.662 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.662 * [taylor]: Taking taylor expansion of x in x 0.662 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.662 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.662 * [taylor]: Taking taylor expansion of y in x 0.665 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))))) in x 0.665 * [taylor]: Taking taylor expansion of -1 in x 0.665 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.665 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.665 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.665 * [taylor]: Taking taylor expansion of y in x 0.665 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.665 * [taylor]: Taking taylor expansion of x in x 0.665 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.665 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.665 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.665 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.665 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.665 * [taylor]: Taking taylor expansion of x in x 0.666 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.666 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.666 * [taylor]: Taking taylor expansion of y in x 0.669 * [taylor]: Taking taylor expansion of -1 in y 0.670 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.670 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.670 * [taylor]: Taking taylor expansion of y in y 0.675 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 0.675 * [taylor]: Taking taylor expansion of 1/2 in y 0.675 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.675 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.675 * [taylor]: Taking taylor expansion of y in y 0.683 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 0.683 * [taylor]: Taking taylor expansion of 1/2 in y 0.683 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.683 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.683 * [taylor]: Taking taylor expansion of y in y 0.689 * * * [progress]: simplifying candidates 0.691 * [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)))) (* (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (+ (- (log (- x y)) (log (sqrt (+ (* x x) (* y y))))) (- (log (+ x y)) (log (sqrt (+ (* x x) (* y y)))))) (+ (- (log (- x y)) (log (sqrt (+ (* x x) (* y y))))) (log (/ (+ x y) (sqrt (+ (* x x) (* y y)))))) (+ (log (/ (- x y) (sqrt (+ (* x x) (* y y))))) (- (log (+ x y)) (log (sqrt (+ (* x x) (* y y)))))) 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(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)) (log (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (log (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (exp (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (pow (/ (+ x y) (sqrt (+ (* x x) (* y y)))) 3) (* (cbrt (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (cbrt (/ (+ x y) (sqrt (+ (* x x) (* y y)))))) (cbrt (/ (+ x y) (sqrt (+ (* x x) (* y y))))) (pow (/ (+ x y) (sqrt (+ (* x x) (* y y)))) 3) (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)) (/ (fabs (cbrt (+ (* x x) (* y y)))) (cbrt (+ x y)))) (/ (cbrt (+ x y)) (sqrt (cbrt (+ (* x x) (* y y))))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (cbrt (+ x y)) (sqrt (sqrt (+ (* x x) (* y y))))) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) (sqrt (+ (* x x) (* y y)))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (cbrt (+ x y)) (sqrt (sqrt (+ (* x x) (* y y))))) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) (sqrt (+ (* x x) (* y y)))) (/ (sqrt (+ x y)) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))) (/ (sqrt (+ x y)) (cbrt (sqrt (+ (* x x) (* y y))))) (/ (sqrt (+ x y)) (fabs (cbrt (+ (* x x) (* y y))))) (/ (sqrt (+ x y)) (sqrt (cbrt (+ (* 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 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 y)) (sqrt (+ (* x x) (* y y)))) (/ 1 (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))) (/ (+ x y) (cbrt (sqrt (+ (* x x) (* y y))))) (/ 1 (* (fabs (cbrt (+ (* x x) (* y y)))) 1)) (/ (+ x y) (sqrt (cbrt (+ (* x x) (* y y))))) (/ 1 (sqrt (sqrt (+ (* x x) (* y y))))) (/ (+ x y) (sqrt (sqrt (+ (* x x) (* y y))))) 1 (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (/ 1 (sqrt (sqrt (+ (* x x) (* y y))))) (/ (+ x y) (sqrt (sqrt (+ (* x x) (* y y))))) 1 (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (/ 1 (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))) (/ (+ x y) (cbrt (sqrt (+ (* x x) (* y y))))) (/ 1 (* (fabs (cbrt (+ (* x x) (* y y)))) 1)) (/ (+ x y) (sqrt (cbrt (+ (* x x) (* y y))))) (/ 1 (sqrt (sqrt (+ (* x x) (* y y))))) (/ (+ x y) (sqrt (sqrt (+ (* x x) (* y y))))) 1 (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (/ 1 (sqrt (sqrt (+ (* x x) (* y y))))) (/ (+ x y) (sqrt (sqrt (+ (* x x) (* y y))))) 1 (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (/ 1 (sqrt (+ (* x x) (* y y)))) (/ (sqrt (+ (* x x) (* y y))) (+ x y)) (/ (+ x y) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))) (/ (+ x y) (fabs (cbrt (+ (* x x) (* y y))))) (/ (+ x y) (sqrt (sqrt (+ (* x x) (* y y))))) (+ x y) (/ (+ x y) (sqrt (sqrt (+ (* x x) (* y y))))) (+ x y) (/ (sqrt (+ (* x x) (* y y))) (cbrt (+ 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) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))) (/ (+ x y) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (* (+ (* y (- y x)) (* x x)) (sqrt (+ (* x x) (* y y)))) (* (sqrt (+ (* x x) (* y y))) (- x y)) y x (* -1 x) y x (* -1 x) -1 1 1 1 1 -1 0.756 * * * [progress]: adding candidates to table 1.107 * * [progress]: iteration 4 / 4 1.107 * * * [progress]: picking best candidate 1.112 * * * * [pick]: Picked # 1.112 * * * [progress]: localizing error 1.122 * * * [progress]: generating rewritten candidates 1.122 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 1.151 * * * * [progress]: [ 2 / 3 ] rewriting at (2) 1.182 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1) 1.206 * * * [progress]: generating series expansions 1.206 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 1.206 * [approximate]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (+ x y)) in (x y) around 0 1.206 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (+ x y)) in y 1.206 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.206 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.206 * [taylor]: Taking taylor expansion of x in y 1.206 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.206 * [taylor]: Taking taylor expansion of y in y 1.206 * [taylor]: Taking taylor expansion of (+ x y) in y 1.206 * [taylor]: Taking taylor expansion of x in y 1.206 * [taylor]: Taking taylor expansion of y in y 1.206 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (+ x y)) in x 1.206 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.206 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.206 * [taylor]: Taking taylor expansion of x in x 1.206 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.206 * [taylor]: Taking taylor expansion of y in x 1.206 * [taylor]: Taking taylor expansion of (+ x y) in x 1.206 * [taylor]: Taking taylor expansion of x in x 1.206 * [taylor]: Taking taylor expansion of y in x 1.207 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (+ x y)) in x 1.207 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.207 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.207 * [taylor]: Taking taylor expansion of x in x 1.207 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.207 * [taylor]: Taking taylor expansion of y in x 1.207 * [taylor]: Taking taylor expansion of (+ x y) in x 1.207 * [taylor]: Taking taylor expansion of x in x 1.207 * [taylor]: Taking taylor expansion of y in x 1.207 * [taylor]: Taking taylor expansion of y in y 1.208 * [taylor]: Taking taylor expansion of (- 1) in y 1.208 * [taylor]: Taking taylor expansion of 1 in y 1.210 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y 1.210 * [taylor]: Taking taylor expansion of 2 in y 1.210 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.210 * [taylor]: Taking taylor expansion of y in y 1.213 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 1.213 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.213 * [taylor]: Taking taylor expansion of 2 in y 1.213 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.213 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.213 * [taylor]: Taking taylor expansion of y in y 1.217 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in (x y) around 0 1.217 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in y 1.217 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.217 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.217 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.217 * [taylor]: Taking taylor expansion of x in y 1.217 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.218 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.218 * [taylor]: Taking taylor expansion of y in y 1.218 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.218 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.218 * [taylor]: Taking taylor expansion of y in y 1.218 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.218 * [taylor]: Taking taylor expansion of x in y 1.219 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in x 1.219 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.219 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.219 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.219 * [taylor]: Taking taylor expansion of x in x 1.220 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.220 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.220 * [taylor]: Taking taylor expansion of y in x 1.220 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.220 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.220 * [taylor]: Taking taylor expansion of y in x 1.220 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.220 * [taylor]: Taking taylor expansion of x in x 1.221 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in x 1.221 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.221 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.221 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.221 * [taylor]: Taking taylor expansion of x in x 1.222 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.222 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.222 * [taylor]: Taking taylor expansion of y in x 1.222 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.222 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.222 * [taylor]: Taking taylor expansion of y in x 1.222 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.222 * [taylor]: Taking taylor expansion of x in x 1.223 * [taylor]: Taking taylor expansion of 1 in y 1.225 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 1.225 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.225 * [taylor]: Taking taylor expansion of y in y 1.233 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.233 * [taylor]: Taking taylor expansion of 2 in y 1.233 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.233 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.233 * [taylor]: Taking taylor expansion of y in y 1.239 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 3)))) in y 1.239 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 1.239 * [taylor]: Taking taylor expansion of 2 in y 1.239 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.239 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.239 * [taylor]: Taking taylor expansion of y in y 1.246 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 1.246 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x)))) in y 1.246 * [taylor]: Taking taylor expansion of -1 in y 1.246 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in y 1.246 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.246 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.246 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.246 * [taylor]: Taking taylor expansion of x in y 1.246 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.246 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.246 * [taylor]: Taking taylor expansion of y in y 1.247 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.247 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.247 * [taylor]: Taking taylor expansion of y in y 1.247 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.247 * [taylor]: Taking taylor expansion of x in y 1.248 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x)))) in x 1.248 * [taylor]: Taking taylor expansion of -1 in x 1.248 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 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 1.249 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.249 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.249 * [taylor]: Taking taylor expansion of y in x 1.249 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.249 * [taylor]: Taking taylor expansion of x in x 1.250 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x)))) in x 1.250 * [taylor]: Taking taylor expansion of -1 in x 1.250 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 x))) in x 1.250 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.250 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.250 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.250 * [taylor]: Taking taylor expansion of x in x 1.251 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.251 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.251 * [taylor]: Taking taylor expansion of y 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 1.252 * [taylor]: Taking taylor expansion of -1 in y 1.254 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.254 * [taylor]: Taking taylor expansion of y in y 1.258 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 1.258 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.258 * [taylor]: Taking taylor expansion of 2 in y 1.258 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.258 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.258 * [taylor]: Taking taylor expansion of y in y 1.264 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y 1.264 * [taylor]: Taking taylor expansion of 2 in y 1.264 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.264 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.264 * [taylor]: Taking taylor expansion of y in y 1.270 * * * * [progress]: [ 2 / 3 ] generating series at (2) 1.270 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0 1.270 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 1.270 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 1.270 * [taylor]: Taking taylor expansion of (+ x y) in y 1.270 * [taylor]: Taking taylor expansion of x in y 1.270 * [taylor]: Taking taylor expansion of y in y 1.270 * [taylor]: Taking taylor expansion of (- x y) in y 1.270 * [taylor]: Taking taylor expansion of x 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 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 1.271 * [taylor]: Taking taylor expansion of y in y 1.271 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 1.271 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 1.271 * [taylor]: Taking taylor expansion of (+ x y) in x 1.271 * [taylor]: Taking taylor expansion of x in x 1.271 * [taylor]: Taking taylor expansion of y in x 1.271 * [taylor]: Taking taylor expansion of (- x y) in x 1.271 * [taylor]: Taking taylor expansion of x in x 1.271 * [taylor]: Taking taylor expansion of y in x 1.271 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.271 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.271 * [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 (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 1.272 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 1.272 * [taylor]: Taking taylor expansion of (+ x y) in x 1.272 * [taylor]: Taking taylor expansion of x in x 1.272 * [taylor]: Taking taylor expansion of y in x 1.272 * [taylor]: Taking taylor expansion of (- x y) in x 1.272 * [taylor]: Taking taylor expansion of x in x 1.272 * [taylor]: Taking taylor expansion of y in x 1.272 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.272 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.272 * [taylor]: Taking taylor expansion of x in x 1.272 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.272 * [taylor]: Taking taylor expansion of y in x 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 (* 2 (/ 1 (pow y 2))) in y 1.275 * [taylor]: Taking taylor expansion of 2 in y 1.275 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.275 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.275 * [taylor]: Taking taylor expansion of y in y 1.281 * [taylor]: Taking taylor expansion of 0 in y 1.281 * [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 1.281 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.281 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 1.281 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 1.281 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.281 * [taylor]: Taking taylor expansion of x in y 1.281 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.281 * [taylor]: Taking taylor expansion of y in y 1.282 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.282 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.282 * [taylor]: Taking taylor expansion of y in y 1.282 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.282 * [taylor]: Taking taylor expansion of x in y 1.282 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.282 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.282 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.282 * [taylor]: Taking taylor expansion of x in y 1.282 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.282 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.282 * [taylor]: Taking taylor expansion of y in y 1.284 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.284 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 1.284 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.284 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.284 * [taylor]: Taking taylor expansion of x in x 1.285 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.285 * [taylor]: Taking taylor expansion of y in x 1.285 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.285 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.285 * [taylor]: Taking taylor expansion of y in x 1.285 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.285 * [taylor]: Taking taylor expansion of x in x 1.285 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.285 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.285 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.285 * [taylor]: Taking taylor expansion of x in x 1.286 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.286 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.286 * [taylor]: Taking taylor expansion of y in x 1.287 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.287 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 1.287 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.287 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.287 * [taylor]: Taking taylor expansion of x in x 1.288 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.288 * [taylor]: Taking taylor expansion of y in x 1.288 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.288 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.288 * [taylor]: Taking taylor expansion of y in x 1.288 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.288 * [taylor]: Taking taylor expansion of x 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 1.289 * [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 1.290 * [taylor]: Taking taylor expansion of 1 in y 1.292 * [taylor]: Taking taylor expansion of 0 in y 1.297 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 1.297 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.297 * [taylor]: Taking taylor expansion of 2 in y 1.297 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.297 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.297 * [taylor]: Taking taylor expansion of y in y 1.305 * [taylor]: Taking taylor expansion of 0 in y 1.305 * [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 1.305 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 1.305 * [taylor]: Taking taylor expansion of -1 in y 1.305 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.305 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 1.305 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.305 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.305 * [taylor]: Taking taylor expansion of y in y 1.306 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.306 * [taylor]: Taking taylor expansion of x in y 1.306 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 1.306 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.306 * [taylor]: Taking taylor expansion of y in y 1.306 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.306 * [taylor]: Taking taylor expansion of x in y 1.306 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.306 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.306 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.306 * [taylor]: Taking taylor expansion of x in y 1.306 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.306 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.306 * [taylor]: Taking taylor expansion of y in y 1.308 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.308 * [taylor]: Taking taylor expansion of -1 in x 1.308 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.308 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 1.308 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.308 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.308 * [taylor]: Taking taylor expansion of y in x 1.308 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.308 * [taylor]: Taking taylor expansion of x in x 1.308 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.308 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.308 * [taylor]: Taking taylor expansion of y in x 1.308 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.309 * [taylor]: Taking taylor expansion of x in x 1.309 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.309 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.309 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.309 * [taylor]: Taking taylor expansion of x in x 1.309 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.309 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.309 * [taylor]: Taking taylor expansion of y in x 1.311 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.311 * [taylor]: Taking taylor expansion of -1 in x 1.311 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.311 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 1.311 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.311 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.311 * [taylor]: Taking taylor expansion of y in x 1.311 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.311 * [taylor]: Taking taylor expansion of x in x 1.311 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.311 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.311 * [taylor]: Taking taylor expansion of y in x 1.312 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.312 * [taylor]: Taking taylor expansion of x in x 1.312 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.312 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.312 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.312 * [taylor]: Taking taylor expansion of x in x 1.312 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.312 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.312 * [taylor]: Taking taylor expansion of y in x 1.314 * [taylor]: Taking taylor expansion of 1 in y 1.320 * [taylor]: Taking taylor expansion of 0 in y 1.324 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 1.324 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.324 * [taylor]: Taking taylor expansion of 2 in y 1.324 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.324 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.325 * [taylor]: Taking taylor expansion of y in y 1.333 * [taylor]: Taking taylor expansion of 0 in y 1.333 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1) 1.333 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 1.333 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.333 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.333 * [taylor]: Taking taylor expansion of x in y 1.333 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.333 * [taylor]: Taking taylor expansion of y in y 1.333 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.333 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.333 * [taylor]: Taking taylor expansion of x in x 1.333 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.333 * [taylor]: Taking taylor expansion of y in x 1.333 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.333 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.333 * [taylor]: Taking taylor expansion of x in x 1.334 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.334 * [taylor]: Taking taylor expansion of y in x 1.334 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.334 * [taylor]: Taking taylor expansion of y in y 1.334 * [taylor]: Taking taylor expansion of 0 in y 1.335 * [taylor]: Taking taylor expansion of 1 in y 1.336 * [taylor]: Taking taylor expansion of 0 in y 1.338 * [taylor]: Taking taylor expansion of 0 in y 1.338 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 1.339 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.339 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.339 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.339 * [taylor]: Taking taylor expansion of x in y 1.339 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.339 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.339 * [taylor]: Taking taylor expansion of y in y 1.339 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.339 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.339 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.339 * [taylor]: Taking taylor expansion of x in x 1.340 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.340 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.340 * [taylor]: Taking taylor expansion of y in x 1.340 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.340 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.340 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.340 * [taylor]: Taking taylor expansion of x in x 1.340 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.340 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.341 * [taylor]: Taking taylor expansion of y in x 1.341 * [taylor]: Taking taylor expansion of 1 in y 1.342 * [taylor]: Taking taylor expansion of 0 in y 1.343 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.343 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.343 * [taylor]: Taking taylor expansion of y in y 1.345 * [taylor]: Taking taylor expansion of 0 in y 1.348 * [taylor]: Taking taylor expansion of 0 in y 1.349 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 1.349 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.349 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.349 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.349 * [taylor]: Taking taylor expansion of x in y 1.349 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.349 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.349 * [taylor]: Taking taylor expansion of y in y 1.350 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.350 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.350 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.350 * [taylor]: Taking taylor expansion of x in x 1.351 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.351 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.351 * [taylor]: Taking taylor expansion of y in x 1.351 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.351 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.351 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.351 * [taylor]: Taking taylor expansion of x in x 1.351 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.351 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.351 * [taylor]: Taking taylor expansion of y in x 1.352 * [taylor]: Taking taylor expansion of 1 in y 1.353 * [taylor]: Taking taylor expansion of 0 in y 1.354 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.354 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.354 * [taylor]: Taking taylor expansion of y in y 1.356 * [taylor]: Taking taylor expansion of 0 in y 1.359 * [taylor]: Taking taylor expansion of 0 in y 1.360 * * * [progress]: simplifying candidates 1.364 * [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 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on x from (# # # # #) 1.923 * * * [regime]: Found split indices: #