Increasing select max(datecol) from bilkaib where datecol<=date'2008-11-01' and (cr='00' or db='00') speed

There are columns
kuupaev date, cr char(10), db char(10)
and regular indexes for all those fields.
bilkaib table contains large number of rows.

The following query takes too much time.
How to make it faster ?
I think PostgreSql should use multiple indexes as bitmaps to speed it.

I can re-write this query in any way or split to multiple statements if this
makes it faster.

Andrus.

explain analyze select max(kuupaev) from bilkaib where
kuupaev<=date'2008-11-01' and (cr='00' or db='00')

"Result (cost=339.75..339.76 rows=1 width=0) (actual
time=52432.256..52432.260 rows=1 loops=1)"
" InitPlan"
" -> Limit (cost=0.00..339.75 rows=1 width=4) (actual
time=52432.232..52432.236 rows=1 loops=1)"
" -> Index Scan Backward using bilkaib_kuupaev_idx on bilkaib
(cost=0.00..1294464.73 rows=3810 width=4) (actual time=52432.222..52432.222
rows=1 loops=1)"
" Index Cond: (kuupaev <= '2008-11-01'::date)"
" Filter: ((kuupaev IS NOT NULL) AND ((cr = '00'::bpchar) OR
(db = '00'::bpchar)))"
"Total runtime: 52432.923 ms"

"PostgreSQL 8.1.4 on i686-pc-linux-gnu, compiled by GCC
i686-pc-linux-gnu-gcc (GCC) 3.4.6 (Gentoo 3.4.6-r1, ssp-3.4.5-1.0,
pie-8.7.9)"