Problem Statement

We currently drop exponential histograms in the prometheus exporter:

Proposed Solution

We should convert them to prometheus native histograms per https://github.com/open-telemetry/opentelemetry-specification/blob/main/specification/compatibility/prometheus_and_openmetrics.md#exponential-histograms

Additional Context

Related to open-telemetry/opentelemetry-collector-contrib#33703

This is currently difficult to do because we use prometheus.NewConstHistogram here:

There is no NewConstNativeHistogram in the prometheus client. We would currently need to implement the prometheus.Metric interface directly, which is a bit more work.