How to write a maintainable, fast, compile-time bit-mask in C++?

I have some code that is morally like this:

#include <bitset>

enum Flags { A = 1, B = 2, C = 3, D = 5,
             E = 8, F = 13, G = 21, H,
             I, J, K, L, M, N, O };

void apply_known_mask(std::bitset<64> &bits) {
    const Flags important_bits[] = { B, D, E, H, K, M, L, O };
    std::remove_reference<decltype(bits)>::type mask{};
    for (const auto& bit : important_bits) {
        mask.set(bit);
    }

    bits &= mask;
}

Clang >= 3.6 does the smart thing and compiles this to a single and instruction (which then gets inlined everywhere else):

apply_known_mask(std::bitset<64ul>&):  # @apply_known_mask(std::bitset<64ul>&)
        and     qword ptr [rdi], 775946532
        ret

But every version of GCC I've tried compiles this to an enormous mess that includes error handling that should be statically DCE'd. In other code, it will even place the important_bits equivalent as data in line with the code!

.LC0:
        .string "bitset::set"
.LC1:
        .string "%s: __position (which is %zu) >= _Nb (which is %zu)"
apply_known_mask(std::bitset<64ul>&):
        sub     rsp, 40
        xor     esi, esi
        mov     ecx, 2
        movabs  rax, 21474836482
        mov     QWORD PTR [rsp], rax
        mov     r8d, 1
        movabs  rax, 94489280520
        mov     QWORD PTR [rsp+8], rax
        movabs  rax, 115964117017
        mov     QWORD PTR [rsp+16], rax
        movabs  rax, 124554051610
        mov     QWORD PTR [rsp+24], rax
        mov     rax, rsp
        jmp     .L2
.L3:
        mov     edx, DWORD PTR [rax]
        mov     rcx, rdx
        cmp     edx, 63
        ja      .L7
.L2:
        mov     rdx, r8
        add     rax, 4
        sal     rdx, cl
        lea     rcx, [rsp+32]
        or      rsi, rdx
        cmp     rax, rcx
        jne     .L3
        and     QWORD PTR [rdi], rsi
        add     rsp, 40
        ret
.L7:
        mov     ecx, 64
        mov     esi, OFFSET FLAT:.LC0
        mov     edi, OFFSET FLAT:.LC1
        xor     eax, eax
        call    std::__throw_out_of_range_fmt(char const*, ...)

My question is: how should I write this code so that both compilers can do the right thing? Failing that, how should I write this so that it remains clear, fast, and maintainable?