We also believe that the relationship with your law firm is important. Just cutting a bill doesn't help that relationship.
Say the general counsel at a F500 agrees with his outside counsel that a particular motion needs to be filed in a litigation. Right now, he has an idea in his head of how much it should cost, say $75k. Or he solicits an estimate from his outside counsel how much it should cost. But that company has probably filed hundreds of such motions in litigations over the years. There is a lot of data to be used to make better guesses. If the software says: this motion will cost $75k with a standard deviation of $15k, based on that company's history with similar firms, then the company benefits from predictability, and the firm benefits by having a realistic budget and some objective reference they can point to when the bill comes due and they ask: "please pay this in full."
We're starting on the side where we have the most experience and have been able to get the most traction. We see providing evidence-based billing as an important part of the move to flat fee billing (or alternative fee arrangement).
Our end goal is to fix the process. We want to make sure legal billing doesn't become the joke that is medical billing.
I've seen this work with other companies. For example, http://www.sourceconsulting.com/ which monitors FedEx and UPS bills for errors and refunds.
There's also a legal company in New York that courier companies use to fight all of their traffic tickets (which really add up). Whenever they lose the appeal, the legal company gets nothing, but if they win, the courier company pays something like half of the ticket price to the legal company. It really makes it a no-brainer to sign up.