private static final Grouper<String> GROUPER = new Grouper<String>() {
        @Override
        public String determineGroup(String s) {
            return String.valueOf(Math.abs(s.hashCode()) % 100);
        }

        @Override
        public int getNumberOfGroupingDirs() {
            return NUMBER_OF_GROUPING_DIRS;
        }
    };

	ARLLG
	ARNSBG
	ARXSBG
	AROSBG
	ARNSBGT
	ARXSBGT
	AROSBGT
	ARISBG
	ARISBGN
	ARISBGZ
	ARISBGNZ
	ARISBHG
	ARISBLG
	ARISBHGZ
	ARISBLGZ

	// floating point
	AFABS
	AFADD
	AFADDS
	AFCMPO
	AFCMPU
	ACEBR
	AFDIV
	AFDIVS
	AFMADD
	AFMADDS
	AFMOVD
	AFMOVS
	AFMSUB
	AFMSUBS
	AFMUL
	AFMULS
	AFNABS
	AFNEG
	AFNEGS
	ALEDBR

    //
    // We don't have a frac(x) primitive in XLA and computing it is tricky, but
    // because abs(sin(pi * x)) = abs(sin(pi * abs(x))), it's good enough for
    // our purposes to use abs(frac(x)) = abs(x) - floor(abs(x)).
    //
    // Furthermore, pi * abs(frac(x)) loses precision when abs(frac(x)) is close
    // to 1.  To remedy this, we can use the fact that sin(pi * x) in the domain

    // TODO(jlevy): For optimal performance, use a binary search when
    // targets.size() < size() / log(size())
    // TODO(kevinb): see if we can share code with OrderedIterator after it
    // graduates from labs.
    if (targets instanceof Multiset) {
      targets = ((Multiset<?>) targets).elementSet();
    }
    if (!SortedIterables.hasSameComparator(comparator(), targets) || (targets.size() <= 1)) {

    // decrement until it's <= the true value
    while (StrictMath.pow(2.0, trueLog2) > d) {
      trueLog2 = StrictMath.nextAfter(trueLog2, Double.NEGATIVE_INFINITY);
    }
    if (StrictMath.abs(StrictMath.pow(2.0, trueLog2) - d)
        > StrictMath.abs(StrictMath.pow(2.0, StrictMath.nextUp(trueLog2)) - d)) {
      trueLog2 = StrictMath.nextUp(trueLog2);
    }
    return trueLog2;
  }

def : Pat<(TF_ApproximateEqualOp:$result $x, $y, $tolerance),
          (CHLO_BroadcastCompareOp
           (MHLO_AbsOp:$abs (MHLO_SubtractOp $x, $y)),
           (CastValueToElementType $result, (MHLO_ConstantOp $tolerance), $abs),
           (NullDenseI64ArrayAttr),
           CHLO_ComparisonDirectionValue<"LT">,
           (CHLO_DEFAULT_COMPARISON_TYPE))>;

	SYS_PROFIL               = 44  // { int|sys||profil(char *samples, size_t size, u_long offset, u_int scale); }
	SYS_KTRACE               = 45  // { int|sys||ktrace(const char *fname, int ops, int facs, pid_t pid); }
	SYS_GETGID               = 47  // { gid_t|sys||getgid_with_egid(void); }
	SYS___GETLOGIN           = 49  // { int|sys||__getlogin(char *namebuf, size_t namelen); }

	SYS_PROFIL               = 44  // { int|sys||profil(char *samples, size_t size, u_long offset, u_int scale); }
	SYS_KTRACE               = 45  // { int|sys||ktrace(const char *fname, int ops, int facs, pid_t pid); }
	SYS_GETGID               = 47  // { gid_t|sys||getgid_with_egid(void); }
	SYS___GETLOGIN           = 49  // { int|sys||__getlogin(char *namebuf, size_t namelen); }

	SYS_PROFIL               = 44  // { int|sys||profil(char *samples, size_t size, u_long offset, u_int scale); }
	SYS_KTRACE               = 45  // { int|sys||ktrace(const char *fname, int ops, int facs, pid_t pid); }
	SYS_GETGID               = 47  // { gid_t|sys||getgid_with_egid(void); }
	SYS___GETLOGIN           = 49  // { int|sys||__getlogin(char *namebuf, size_t namelen); }

		{name: "FNEGD", argLength: 1, reg: fp11, asm: "FNEGD", typ: "Float64"},                                                              // -arg0
		{name: "FABSD", argLength: 1, reg: fp11, asm: "FABSD", typ: "Float64"},                                                              // abs(arg0)
		{name: "FSGNJD", argLength: 2, reg: fp21, asm: "FSGNJD", typ: "Float64"},                                                            // copy sign of arg1 to arg0