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"greatly outperform" is correct and usable in written English.
You can use it to talk about how one thing is much better than another in a particular way. For example: "This brand new computer greatly outperforms our old one in speed and power."
Exact(16)
Biology provides examples of efficient machines which greatly outperform conventional technology.
Of course, wind and solar energy greatly outperform any fossil fuel when it comes to carbon efficiency.
Here at Stanford, Dr. Mitra says a system based on carbon nanotubes may greatly outperform Intel's current 3-D transistor technology.
Computer simulations verify the correctness of our theoretical analysis, and demonstrate that both transmission rate and error performance of the proposed scheme greatly outperform the conventional multi-layer transmission system.
Crizotinib was the first ALK-TKI to undergo clinical development in ALK-positive advanced NSCLC, in which it has been shown to greatly outperform the best available chemotherapy regimen in either second- or first-line setting.
Nonetheless, both SNAD variants greatly outperform the spectral models at all evaluation points.
Similar(44)
It was the seventh consecutive session of losses for the Nasdaq, which greatly outperformed the Dow and the S.& P. in 2007.
Last year, the endowment's managers greatly outperformed those benchmarks, producing a total return after fees and expenses of 12.5percentt, and thus their compensation was unusually high.
Still, SBC has greatly outperformed many telecommunications companies, particularly those that bet on building fiber optic capacity in expectation of a surge of Internet-related business.
Numerical tests show that the heuristic greatly outperforms CPLEX in terms of solution speed, while still delivering excellent solution quality.
This, combined with the comparison of diurnal variations of TEC, suggests that the GA-NN model greatly outperforms the BP-NN and IRI2012 models.
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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