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The phrase "at the same performance index" is correct and usable in written English.
It can be used in contexts related to comparing performance metrics or benchmarks in various fields, such as engineering, finance, or technology.
Example: "The two systems operate efficiently at the same performance index, ensuring consistent results."
Alternatives: "at an equivalent performance level" or "at a comparable performance metric."
Exact(1)
The simulation results prove that the gain scheduling method is valid, and it can guarantee that the control system arrives at the same performance index at different freestream conditions.
Similar(59)
The MAE index is the same performance index used also to compare the performance of the algorithms that participated to the PETS2009 contest.
At the same performance, Carlos Lopez was a fine, childlike Alain.
It's pretty much the same performance.
Actually, France and the Netherlands have basically the same performance.
At the same time, an index of manufacturing reached a 20-year high.
At the same time, her index finger shoots up, fast, aggressive and unambiguous.
At the same time, performance can be sketchy.
At the same time, performance requirements have escalated over time.
At the same time, the indexes measuring production and new orders rose for the third consecutive month.
Positive same-store sales pushed the Restaurant Performance Index higher.
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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