Everything you want to know can be found within the java.util.stream JavaDoc.
Ordering
Streams may or may not have a defined encounter order. Whether or not
a stream has an encounter order depends on the source and the
intermediate operations. Certain stream sources (such as List or
arrays) are intrinsically ordered, whereas others (such as HashSet)
are not. Some intermediate operations, such as sorted(), may impose an
encounter order on an otherwise unordered stream, and others may
render an ordered stream unordered, such as BaseStream.unordered().
Further, some terminal operations may ignore encounter order, such as
forEach().
If a stream is ordered, most operations are constrained to operate on
the elements in their encounter order; if the source of a stream is a
List containing [1, 2, 3], then the result of executing map(x -> x*2)
must be [2, 4, 6]. However, if the source has no defined encounter
order, then any permutation of the values [2, 4, 6] would be a valid
result.
For sequential streams, the presence or absence of an encounter order
does not affect performance, only determinism. If a stream is ordered,
repeated execution of identical stream pipelines on an identical
source will produce an identical result; if it is not ordered,
repeated execution might produce different results.
For parallel streams, relaxing the ordering constraint can sometimes
enable more efficient execution. Certain aggregate operations, such as
filtering duplicates (distinct()) or grouped reductions
(Collectors.groupingBy()) can be implemented more efficiently if
ordering of elements is not relevant. Similarly, operations that are
intrinsically tied to encounter order, such as limit(), may require
buffering to ensure proper ordering, undermining the benefit of
parallelism. In cases where the stream has an encounter order, but the
user does not particularly care about that encounter order, explicitly
de-ordering the stream with unordered() may improve parallel
performance for some stateful or terminal operations. However, most
stream pipelines, such as the "sum of weight of blocks" example above,
still parallelize efficiently even under ordering constraints.