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The phrase "a simpler search" is correct and usable in written English.
You can use it when referring to a search process that is easier or less complicated than another.
Example: "To improve user experience, we implemented a simpler search feature on our website."
Alternatives: "an easier search" or "a more straightforward search."
Exact(3)
Then, we use them to reduce the optimization problem to a simpler search over a small set of bounded real-valued parameters and to find efficient algorithms to calculate the numerical values of the system parameters.
Abridged versions of the search strategy were used for the databases that had a simpler search interface or smaller content, such as non-English databases, as these databases could not accommodate a large number of search terms [ 4, 14].
In contrast, the subscription-free databases, such as Scirus and Google Scholar, offer a simpler search interface, but limit the number of entries, which can be displayed or accessed for each search.
Similar(57)
A simple search of his name automatically produces several negative videos.
Even images of microscope slides could be found with a simple search.
But in a simple search of his story, we learned that Breckinridge actually escaped from Florida to Cuba.
It began as a simple search for a missing prostitute named Shannan Gilbert, who had disappeared in May, and has evolved into a grisly murder mystery.
You can blame Levi's for erratic shifts in strategy that turned a simple search for a fresh pair of old reliables into a scavenger hunt.
It also represents a kind of moral shift for the company, moving away from a simple search to one with an implicitly social and political mission.
Yet a simple search suggests there are plenty of pictures of really skinny young women and only a tiny "Are you struggling with an eating disorder?" link.
But paging Dr. Google can lead patients to miss a rich lode of online resources that may not yield to a simple search.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com