Ordinary valley construction and household debris is fine. The hard limits come from Riverside County, and its refusal list is specific enough to be worth reading before you load.
The County will not accept hazardous waste, any material containing more than one percent friable asbestos, or chemicals of any sort, which it spells out as fuels, cleaners, degreasers, oils, pesticides, acids and paints. Radioactive material, explosives, auto body shredder waste and untreated infectious waste from commercial sources are all refused. So is soil contaminated above state and federal hazardous waste levels, liquid waste with a moisture content over half, and anything generating nuisance dust.
Two refusals catch renovation jobs in particular. Chemically treated wood waste is not accepted at the landfill at all, which matters for old fencing, pergolas and deck boards. And dirt is capped: loads of soil over twenty tons need County approval in advance.
Construction, demolition and renovation waste including wood, metal and roofing is accepted, as are concrete and asphalt. If a valley item looks doubtful, ask your account manager before it goes over the rail.