The phrase "by instances" is correct and can be used in written English.
It is a phrase that means to provide evidence from individual cases or examples. For example, "I can prove my point by instances such as my own past experiences, situations described by others, and documented research."
Exact(53)
Knight's tenure at Indiana was marked by instances of extremely temperamental behaviour.
The largest group of these incidents involved anti-immigrant sentiments, followed by instances of anti-black and anti-Semitic bigotry.
Ariana Grande has tackled sexism and body shaming after being confronted by instances of both over the weekend.
Dr. Elias said he would not necessarily expect such cases to be preceded by instances of beatings or other obvious warning signs.
And he is confused by instances of American spectacle: "In my mind the Fourth of July was a celebration that celebrated fireworks".
They give us an engaging testament on practicality and morality in business, richly illuminated by instances from Shakespeare, all expertly dissected.
Similar(6)
Using random spin glass instances as a benchmark, we find no evidence of quantum speedup when the entire data set is considered, and obtain inconclusive results when comparing subsets of instances on an instance-by-instance basis.
Instance by instance, they angrily contest the trustee's claims that they had been aware of meaningful concerns about Mr. Madoff's operations.
The size of the reduction varies by instance family and region.
Costs are also increased by instance failures, also charged hourly by AWS.
The highest performance was demonstrated by instance E which achieved 3052 requests per second.
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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