If \( x, y, z \), satisfy the equations \[ \begin{array}{r} x+\log ...

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If \( x, y, z \), satisfy the equations
\[
\begin{array}{r}
x+\log \left(x+\sqrt{x^{2}+1}\right)=y \\
y+\log \left(y+\sqrt{y^{2}+1}\right)=z \\
z+\log \left(z+\sqrt{z^{2}+1}\right)=x
\end{array}
\]
Then value of \( (1-x)^{2}+(1-y)^{2}+(1-z)^{2} \) is
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