searching
v.v. looking carefully for something or someone that is hidden or lost. You do this when you need to find information or an object.
v. to examine a place, person, or data set thoroughly in order to find something. Transitive when followed by a direct object representing the location or person being examined.
She is searching her bag for the keys.
The rescue team spent hours searching the dense forest for the missing hikers before nightfall.
Historians are currently searching the national archives for any correspondence that might shed light on the diplomatic crisis of 1924.
The verb is transitive when the object is the place being looked through, but requires the preposition 'for' when the object is the item being sought.
I am searching my phoneI am searching for my phoneIf you 'search your phone', you are looking inside the device; if you have lost the device, you must 'search for' it.