It might not be exactly what the original question asks for, but I'll add a comment about CloudFront.
In my experience, both CloudFront and API Gateway will add at least 100 ms each for every HTTPS request on average - maybe even more.
This is due to the fact that in order to secure your API call, API Gateway enforces SSL in all of its components. This means that if you are using SSL on your backend, that your first API call will have to negotiate 3 SSL handshakes:
- Client to CloudFront
- CloudFront to API Gateway
- API Gateway to your backend
It is not uncommon for these handshakes to take over 100 milliseconds, meaning that a single request to an inactive API could see over 300 milliseconds of additional overhead. Both CloudFront and API Gateway attempt to reuse connections, so over a large number of requests you’d expect to see that the overhead for each call would approach only the cost of the initial SSL handshake. Unfortunately, if you’re testing from a web browser and making a single call against an API not yet in production, you will likely not see this.
In the same discussion, it was eventually clarified what the "large number of requests" should be to actually see that connection reuse:
Additionally, when I meant large, I should have been slightly more precise in scale. 1000 requests from a single source may not see significant reuse, but APIs that are seeing that many per second from multiple sources would definitely expect to see the results I mentioned.
...
Unfortunately, while cannot give you an exact number, you will not see any significant connection reuse until you approach closer to 100 requests per second.
Bear in mind that this is a thread from mid-late 2016, and there should be some improvements already in place. But in my own experience, this overhead is still present and performing a loadtest on a simple API with 2000 rps is still giving me >200 ms extra latency as of 2018.
source: https://forums.aws.amazon.com/thread.jspa?messageID=737224