Assuming both are laptops and you don't have some insane personal computer - you should seriously examine why your workplace is skimping on a few hundred dollars extra on a machine that might save you, an employee with a salary in the tens of thousands (or higher) a few days of waiting for things to load, render or compile a year.

There certainly is a logic around not wasting money where it'd do no good - but companies that are tight with employee capital expenditures make me really nervous. It's a thing I've avoided consciously in employers since my thirties - if you don't value me enough for a decent keyboard, a chair, and a sufficiently performing computer - then you don't have anyone who is sane at evaluating RoI at your upper echelons.

Even if the work machine has comparable specs to personal computer, it's much slower. Every machine is fast, but put antivirus software on it, backup solution, 10 "corporate security" products which monitor and log every move and even the strongest machine slows to crawl.

My work computer would be substantially faster than my personal computer if it wasn’t bogged down by so much IT crap. In practice my personal computer substantially faster to get anything done because I have to fight it so much less.

I really wish I could use my personal laptop at work, but now it is hard, because GDPR laws mandate that I would need to take additional security measures and could be held responsible for any data leak. Using company issued laptop avoids the problem - all responsibility rests on my employer's shoulders.