How to use JSON queries with Haystack using Elasticsearch?

I would like to use following JSON query with Haystack, but cannot find how to use JSON queries instead of QuerySet (as it seems there is no way to do this in QuerySet).

"query": {
    "filtered": {
        "filter": {
            "bool": {
                "must": [
                    {
                        "term": {
                            "django_ct": "repositories.repository"
                        }
                    },
                    {
                        "term": {
                            "status": 1
                        }
                    },
                    {
                        "term": {
                            "is_private": false
                        }
                    },
                    {
                        "term": {
                            "is_library": false
                        }
                    }
                ]
            }
        },
        "query": {
            "function_score": {
                "query": {
                    "bool": {
                        "should": [
                            {
                                "match": {
                                    "name": {
                                        "query": "hipache"
                                    }
                                }
                            },
                            {
                                "custom_boost_factor": {
                                    "boost_factor": 0.005,
                                    "query": {
                                        "multi_match": {
                                            "fields": [
                                                "name_auto^3",
                                                "name_auto.partial^2",
                                                "name_auto.partial_back",
                                                "name_auto.partial_middle"
                                            ],
                                            "query": "hipache"
                                        }
                                    }
                                }
                            }
                        ]
                    }
                },
                "script_score": {
                    "script": "_score * (1 + 10.0*log(1 + doc['pull_count'].value))"
                }
            }
        }
    }
}

Start by reviewing Haystack's QuerySet and Elasticsearch integration to determine whether the JSON query shown can be represented or passed through. Check the existing issue discussion for the intended API and define done as a documented, tested way to use this query, or a clear statement that it is unsupported.