In react router 4, how does one negate a route / path using regex?

Say i have a route switch statement like the following:

render () {
    <pre>
        <Switch>
            <Route path="/foo" render={render}>
            <Route path="/bar" render={renderBar}>
            <Route path="/" render={renderHome}>

            {/* How do i express everything except the home page ?*/}

            <Route render={renderFourOhFour}>
        </Switch>
    </pre>
}

How do i write a route that excludes everything except the home page given the above example? Do i just write a regex? If so i've tried something like

path={^(?!.*(home))}

with the regex react router v4 tester: https://pshrmn.github.io/route-tester/#/