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The phrase "a very efficient procedure" is correct and usable in written English.
You can use it when describing a method or process that achieves its goals with minimal waste of resources or time.
Example: "The new software update includes a very efficient procedure for data backup, ensuring that all files are securely saved in a matter of minutes."
Alternatives: "an extremely effective method" or "a highly productive process."
Exact(1)
Altogether, these results showed that midazolam treatment followed by early cooling is a very efficient procedure to stop SE.
Similar(56)
It was shown that the alkaline melt could be a very efficient process and environmentally correct procedure for diamond purification.
I think we have a very efficient operation going.
"We know it's a very efficient process.
2) NMD is generally a very efficient process.
The "linear-in-the parameters" nature of the model allows the formulation of a relatively simple and computationally very efficient procedure for estimating all the unknown parameters in the model.
This very efficient procedure allows the remission from diabetes and then a major reduction in body weight.
As a part of this investigation a very efficient computation procedure for helicopter rotor blade thickness noise according to linear theory is developed.
To model PM10 concentrations, a single surrogate model is used for the entire domain, allowing the implementation of a very efficient optimization procedure.
This results in a statistically sound procedure for feature selection, akin to forward stage-wise linear regression and the Lasso [ 27, 31], and a very efficient computational procedure.
The advantages of this approach over other Monte Carlo-based methods are that include geometric information of the sample, allowing us to calculate lost of light, and corrections to the integrating sphere's measurements, a very efficient search procedure and the lack of the use of look-up tables.
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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