Add Mooncake note on AD

Author: penelopeysm

usage/automatic-differentiation/index.qmd

@@ -24,16 +24,16 @@ For `ForwardDiff`, pass `adtype=AutoForwardDiff(; chunksize)` to the sampler con
 
 For `ReverseDiff`, pass `adtype=AutoReverseDiff()` to the sampler constructor. An additional keyword argument called `compile` can be provided to `AutoReverseDiff`. It specifies whether to pre-record the tape only once and reuse it later (`compile` is set to `false` by default, which means no pre-recording). This can substantially improve performance, but risks silently incorrect results if not used with care.
 
-
-
 Pre-recorded tapes should only be used if you are absolutely certain that the sequence of operations performed in your code does not change between different executions of your model.
 
 Thus, e.g., in the model definition and all implicitly and explicitly called functions in the model, all loops should be of fixed size, and `if`-statements should consistently execute the same branches.
 For instance, `if`-statements with conditions that can be determined at compile time or conditions that depend only on fixed properties of the model, e.g. fixed data.
 However, `if`-statements that depend on the model parameters can take different branches during sampling; hence, the compiled tape might be incorrect.
 Thus you must not use compiled tapes when your model makes decisions based on the model parameters, and you should be careful if you compute functions of parameters that those functions do not have branching which might cause them to execute different code for different values of the parameter.
 
-And the previously used interface functions including `ADBackend`, `setadbackend`, `setsafe`, `setchunksize`, and `setrdcache` are deprecated and removed.
+The previously used interface functions including `ADBackend`, `setadbackend`, `setsafe`, `setchunksize`, and `setrdcache` have been removed.
+
+For `Mooncake`, pass `adtype=AutoMooncake(; config=nothing)` to the sampler constructor.
 
 ## Compositional Sampling with Differing AD Modes