MongoDB aggregate query using PHP driver

The parameter in your Javascript is an array of 4 objects with one element each, in your PHP it’s an associative array (object) with 4 elements. This would represent your Javascript:

$result = $c->aggregate(array(
    array(
      '$project' => array(
          'day' => array('$dayOfYear' => '$executed')
      ),
    ),
    array(
      '$group' => array(
          '_id' => array('day' => '$day'),
          'n' => array('$sum' => 1)
      ),
    ),
    array(
      '$sort' => array(
          '_id' => 1
      ),
    ),
    array(
      '$limit' => 14
    )
));

In addition, if you have at least PHP5.4, you can use simpler array syntax. Transformation to PHP is then trivial, you simply replace curly braces with square brackets and colons with arrows:

$result = $c->aggregate([
  [ '$project' => [ 'day' => ['$dayOfYear' => '$executed']  ]  ],
  [ '$group' => ['_id' => ['day' => '$day'], 'n' => ['$sum' => 1]  ] ],
  [ '$sort' => ['_id' => 1] ],
  [ '$limit' => 14 ]
]);