Symmetric matrix operations not faster

f1 () = begin
    t = rand(1000, 1000)
    t += 100I
    b = ones(1000)
end
@btime f1();
# 1.111 ms (4 allocations: 15.26 MiB)

f2 () = begin
    t = rand(1000, 1000)
    t += 100I
    b = ones(1000)
    LAPACK.posv!('L', t, b)
end
@btime f2();
# 4.723 ms (5 allocations: 15.27 MiB)

t = rand(1000, 1000)
@btime t \ ones(1000)
# 6.188 ms (5 allocations: 7.65 MiB)

About half of the time saved.