Histogram query over calculated field

My case is the following:
event.type (keyword): a
event.type: aa
event.type: aa
event.type: aaaa

I want to create a query that gives me in the Y axis the count of event.type and in the X axis the length of event.type.
For the given example it would be:
X axis ---------------------------- Y axis
event_type_length: 1 event_type_count: 1
event_type_length: 2 event_type_count: 2
event_type_length: 3 event_type_count: 0
event_type_length: 4 event_type_count: 1

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