That depends on the solver as well as the problem being solved, and might be different for continuous vs. mixed integer

For mixed integer problems, the specified absolute or relative gap may have a large impact on run time, and is highly dependent on the exact problem being solved.

For continuous problems with 2nd order conic solvers, it is often the case that the exact solver tolerance being specified makes little difference to run time, and the solver finishes when it has done about as well as it can. For a first order solver such as SCS, run time is usually strongly affected by solver tolerance, so decreasing requested tolerance ,may speed up the solution considerably.