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 TMZ.com.

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 she had gone to rehab for an ''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.

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