A simile is a rhetorical figure expressing comparison or likeness that directly compares two objects through some connective word such as like, as, so, than, or a verb such as resembles. Although similes and metaphors are generally seen as interchangeable, similes acknowledge the imperfections and limitations of the comparative relationship to a greater extent than metaphors. Similes also hedge/protect the author against outrageous, incomplete, or unfair comparison. Generally, metaphor is the stronger and more encompassing of the two forms of rhetorical analogies.
Your eyes are like a sunrise.
A metaphor is a figure of speech that describes a subject by asserting that it is, on some point of comparison, the same as another otherwise unrelated object. Metaphor is a type of analogy and is closely related to other rhetorical figures of speech that achieve their effects via association, comparison or resemblance including allegory, hyperbole, and simile.
Your eyes are a sunrise.
Analogy (from Greek ἀναλογία, analogia, “proportion”) is a cognitive process of transferring information or meaning from a particular subject (the analogue or source) to another particular subject (the target), or a linguistic expression corresponding to such a process. In a narrower sense, analogy is an inference or an argument from one particular to another particular, as opposed to deduction, induction, and abduction, where at least one of the premises or the conclusion is general. The word analogy can also refer to the relation between the source and the target themselves, which is often, though not necessarily, a similarity, as in the biological notion of analogy.
Imagine for a moment that you eyes were a sunrise.