Martinez will be wondering exactly how his side took so long to secure the points.
For the first time in a few weeks, dominant possession and passing numbers actually accompanied some impressive creative production.
In fact, Everton's 20 chances matched their best statistical return of the season.
That excessive creativity led to 22 shots fired in on Adrian's goal—a total exceeded in just two of Everton's Premier League games under Martinez.
All of this was achieved while restricting West Ham to just one attempt on target from six shots at goal.
Surely a recipe for a very convincing home win?
However, the major blemish in an otherwise polished performance was the hosts' woefully inaccurate shooting. Of the 22 shots, just three were on target, which almost cost the Toffees the game.
To put that desperately poor ratio into perspective, Everton have recorded fewer shots on target just twice all season—yet in matches with far few chances.
Three points is all that matters, but missing the target with 19 of 22 shots (86 percent) is something Martinez will not want to see again.