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The phrase "demonstrate the performance" is correct and commonly used in written English.
It means to show or prove the capabilities or effectiveness of something. Example: The new software was able to demonstrate its performance by completing the task in half the time it would take the old system.
Exact(60)
The simulation results also demonstrate the performance of our designs.
The numerical simulations demonstrate the performance of the proposed algorithm.
We demonstrate the performance of our approach using multiple datasets.
Numerical examples demonstrate the performance of the proposed algorithm.
The numerical simulations demonstrate the performance of the proposed method.
Numerical examples demonstrate the performance of the proposed scheme.
Simulation results are provided to demonstrate the performance of DINS.
Numerical simulations are presented to demonstrate the performance.
Finally, experimental results are provided to demonstrate the performance.
Experimental evaluations demonstrate the performance speedup of our approach.
Experimental results are given to demonstrate the performance in practice.
More suggestions(13)
prove the performance
reflect the performance
exemplify the performance
determine the performance
testify the performance
reveal the performance
describe the performance
illustrate the performance
express the performance
substantiate the performance
display the performance
suggest the performance
represent the performance
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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