\[ \boxed { {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) +2\,\tan \left ( y \left ( x \right ) \right ) \tan \left ( x \right ) -1=0} \]
Mathematica: cpu = 43.305499 (sec), leaf count = 19 \[ \text {DSolve}\left [y'(x)+2 \tan (x) \tan (y(x))-1=0,y(x),x\right ] \]
Maple: cpu = 0.827 (sec), leaf count = 78 \[ \left \{ {\it \_C1}+{\tan \left ( x \right ) {\frac {1}{\sqrt [4]{{ \frac { \left ( 1+ \left ( \tan \left ( y \left ( x \right ) \right ) \right ) ^{2} \right ) \left ( 1+ \left ( \tan \left ( x \right ) \right ) ^{2} \right ) }{ \left ( \tan \left ( y \left ( x \right ) \right ) \tan \left ( x \right ) -1 \right ) ^{2}}}}}}}+{\frac {\tan \left ( y \left ( x \right ) \right ) +\tan \left ( x \right ) }{2\,\tan \left ( y \left ( x \right ) \right ) \tan \left ( x \right ) -2} {\mbox {$_2$F$_1$}({\frac {1}{2}},{\frac {5}{4}};\,{\frac {3}{2}};\,-{\frac { \left ( \tan \left ( y \left ( x \right ) \right ) +\tan \left ( x \right ) \right ) ^{2}}{ \left ( \tan \left ( y \left ( x \right ) \right ) \tan \left ( x \right ) -1 \right ) ^{2}}})} }=0 \right \} \]