Wie kann man in den mehrdimensionalen Arrays von PHP effizient nach Schlüssel-Wert-Paaren suchen?

function search($array, $key, $value)
{
    // Initialize an empty results array
    $results = array();

    // Check if the current element is an array
    if (is_array($array)) {
        // If the current element matches the key-value pair, add it to the results
        if (isset($array[$key]) && $array[$key] == $value) {
            $results[] = $array;
        }

        // Recursively search through each subarray
        foreach ($array as $subarray) {
            $results = array_merge($results, search($subarray, $key, $value));
        }
    }

    // Return the accumulated results
    return $results;
}

$arr = array(
    0 => array('id' => 1, 'name' => "cat 1"),
    1 => array('id' => 2, 'name' => "cat 2"),
    2 => array('id' => 3, 'name' => "cat 1")
);

array(
    0 => array('id' => 1, 'name' => "cat 1"),
    1 => array('id' => 3, 'name' => "cat 1")
);

function searchOptimized($array, $key, $value)
{
    $results = array();
    searchOptimized_r($array, $key, $value, $results);
    return $results;
}

function searchOptimized_r($array, $key, $value, &$results)
{
    if (!is_array($array)) {
        return;
    }

    if (isset($array[$key]) && $array[$key] == $value) {
        $results[] = $array;
    }

    foreach ($array as $subarray) {
        searchOptimized_r($subarray, $key, $value, $results);
    }
}