A managed float regime, also known as a dirty float, is a type of exchange rate regime where a currency's value is allowed to fluctuate in response to foreign-exchange market mechanisms (i.e., supply and demand), but the central bank or monetary authority of the country intervenes occasionally to stabilize or steer the currency's value in a particular direction.
Under a managed float regime, the central bank might buy or sell its own currency in the foreign exchange market to counteract short-term fluctuations, to prevent excessive depreciation or appreciation, or to achieve certain economic goals such as controlling inflation or boosting exports.
[1] International financial organizations, like the IMF, categorize countries' exchange rate regimes based on specific criteria, but these classifications aren't necessarily objective and may not fully capture the nuances of a country's exchange rate policies.
For example, a country may normally have a floating exchange rate regime but intervene in times of extreme volatility, a country may formally claim to be following one exchange rate regime (de jure) while having another in practice (de facto).
[3] In its annual report, the IMF also notes instances where central banks have intervened, even for countries where it still classifies the currency as free floating.