...which (naturally) can't determine if some number x is equal to y or not; that alone makes using constructive real numbers challenging and the usage is virtually non-existent. I believe the most-known software using them is the Android calculator since 6.0 and Hans Boehm (of the gc fame) documented various issues encountered [1].

[1] https://dl.acm.org/doi/fullHtml/10.1145/2911981