Function update_properties 

fn update_properties(
    node: ExprPropertiesNode,
    eq_properties: &EquivalenceProperties,
) -> Result<Transformed<ExprPropertiesNode>>

Calculates the properties of a given ExprPropertiesNode.

Order information can be retrieved as:

• If it is a leaf node, we directly find the order of the node by looking at the given sort expression and equivalence properties if it is a Column leaf, or we mark it as unordered. In the case of a Literal leaf, we mark it as singleton so that it can cooperate with all ordered columns.
• If it is an intermediate node, the children states matter. Each PhysicalExpr and operator has its own rules on how to propagate the children orderings. However, before we engage in recursion, we check whether this intermediate node directly matches with the sort expression. If there is a match, the sort expression emerges at that node immediately, discarding the recursive result coming from its children.

Range information is calculated as:

• If it is a Literal node, we set the range as a point value. If it is a Column node, we set the datatype of the range, but cannot give an interval for the range, yet.
• If it is an intermediate node, the children states matter. Each PhysicalExpr and operator has its own rules on how to propagate the children range.