Difference between singleton and eagersingleton for Gin or Guice?

I was wondering what is the different between singleton and eagersingleton for Gin or Guice?

What is singleton in Guice?

Guice comes with a built-in @Singleton scope that reuses the same instance during the lifetime of an application within a single injector. Both javax. inject. Singleton and com.

What is an eager singleton?

Eager initialization: This is the simplest method of creating a singleton class. In this, object of class is created when it is loaded to the memory by JVM. It is done by assigning the reference of an instance directly.

From Guice's Wiki

Eager singletons reveal initialization problems sooner, and ensure end-users get a consistent, snappy experience. Lazy singletons enable a faster edit-compile-run development cycle. Use the Stage enum to specify which strategy should be used.

Eager: "create an instance of this class when the Module is being run"
Lazy: "create an instance of this class when it's first requested for dependency injection"