Rumer Willis has been burgled.

The 'House Bunny' actress - the daughter or Bruce Willis and Demi Moore - had more than $10,000 worth of items stolen, including construction tools, after the burglar entered her Hollywood Hills home by slicing through a gate lock with a blowtorch-type device, law enforcement officials told

Nobody was injured during the raid and no-one was in at the time of the burglary as Rumer's home is currently unoccupied.

The incident caps a torrid few weeks for Rumer after she was said to be finding her mother Demi's recently troubles "tough", following the 'Striptease' actress' hospitalisation late last month after she suffered a seizure at a party.

Rumer's friend Zac Efron explained: "It's tough, but I think she's all right.

"Me and Rumer have been friends for a long time. I know Demi is going through some personal stuff right now. I just wish her well. I hope she's doing OK."

Demi - who is rumoured to have gone to rehab for "eating disorder and addiction issues" - was recently said to be seeking advice from Michael Jackson's former spiritual guru Deepka Chopra in the wake of her hospitalisation.