Improve gremlin traversal query performance

I would like to start from a particular source node ( id = 01F546'), traverse both direction for x number (4 in the below example) of hops , and list the properties of the first 200 destination nodes meeting certain creteria ( 'type' = output' in the below sample). I have set up the timeLimt to make sure the query return before time out.

I have created composite/mixed indexes on 'id', 'type' each.

For a graph of 250k nodes and 400k edges, the above query takes about ~7 second via gremline query console. What can be done to speed up the performance?

Thank you

Gremlin query & profile() results are as below

g.V().
  has('id', eq('01F546')).emit().
  repeat(bothE().otherV().timeLimit(300000)).times(4).
  has('type', eq('output')).
  map(properties().group().by(key()).by(value())).
  dedup().
  limit(200).
  toList()

The output of the profile is:

HasStep([type.eq(output)])                                            17          17         627.249    90.79
TraversalMapStep([JanusGraphMultiQueryStep, Jan...                    17          17           3.129     0.45
  JanusGraphMultiQueryStep                                            17          17           0.207
  JanusGraphPropertiesStep(property)                                 180         180           1.520
    \_condition=(PROPERTY AND visibility:normal)
    \_orders=[]
    \_isFitted=true
    \_isOrdered=true
    \_query=SliceQuery[0x40,0x60)
    \_multi=true
    \_vertices=1
    optimization                                                                               0.001
    optimization                                                                               0.001
    optimization                                                                               0.001
    optimization                                                                               0.001
    optimization                                                                               0.001
    optimization                                                                               0.001
    optimization                                                                               0.001
    optimization                                                                               0.001
    optimization                                                                               0.001
    optimization                                                                               0.001
    optimization                                                                               0.001
    optimization                                                                               0.001
    optimization                                                                               0.001
    optimization                                                                               0.001
    optimization                                                                               0.001
    optimization                                                                               0.001
    optimization                                                                               0.001
  GroupStep(key,[PropertyValueStep])                                  17          17           1.204
    PropertyValueStep                                                180         180           0.279
DedupGlobalStep(null,null)                                            11          11           0.202     0.03
RangeGlobalStep(0,20)                                                 11          11           0.151     0.02
                                            >TOTAL                     -           -         690.901        -
    optimization                                                                               0.001
    optimization                                                                               0.001
    optimization                                                                               0.001
    optimization                                                                               0.001
    optimization                                                                               0.001
    optimization                                                                               0.001
    optimization                                                                               0.001
    optimization                                                                               0.000
    optimization                                                                               0.001
    optimization                                                                               0.001
    optimization                                                                               0.001
    optimization                                                                               0.001
    optimization                                                                               0.001
    optimization                                                                               0.001
    optimization                                                                               0.001
    optimization                                                                               0.001
    optimization                                                                               0.001
    optimization                                                                               0.000
    optimization                                                                               0.001
    optimization                                                                               0.000
    optimization                                                                               0.001
    optimization                                                                               0.001
    optimization                                                                               0.001
    optimization                                                                               0.001
    optimization                                                                               0.001
    optimization                                                                               0.001
    optimization                                                                               0.001
    optimization                                                                               0.000
    optimization                                                                               0.000
    optimization                                                                               0.000
    optimization                                                                               0.001
    optimization                                                                               0.000
    optimization                                                                               0.000
  GroupStep(key,[PropertyValueStep])                                 109         109           6.813
    PropertyValueStep                                               1083        1083           1.854
DedupGlobalStep(null,null)                                            76          76           0.610     0.01
                                            >TOTAL                     -           -        6721.808        -