diff --git a/Makefile b/Makefile
index 508b225994..2e5d49b252 100644
--- a/Makefile
+++ b/Makefile
@@ -212,6 +212,7 @@ J_E_OFILES=\
        jets/e/parse.o \
        jets/e/rd.o \
        jets/e/rs.o \
+       jets/e/rq.o \
        jets/e/repg.o \
        jets/e/rexp.o \
        jets/e/rub.o \
diff --git a/include/jets/q.h b/include/jets/q.h
index 89c22be6e1..259beefd96 100644
--- a/include/jets/q.h
+++ b/include/jets/q.h
@@ -134,6 +134,17 @@
     u3_noun u3qet_gte(u3_atom, u3_atom);
     u3_noun u3qet_gth(u3_atom, u3_atom);
 
+    u3_noun u3qeq_add(u3_atom, u3_atom);
+    u3_noun u3qeq_sub(u3_atom, u3_atom);
+    u3_noun u3qeq_mul(u3_atom, u3_atom);
+    u3_noun u3qeq_div(u3_atom, u3_atom);
+    u3_noun u3qeq_sqt(u3_atom);
+    u3_noun u3qeq_fma(u3_atom, u3_atom, u3_atom);
+    u3_noun u3qeq_lth(u3_atom, u3_atom);
+    u3_noun u3qeq_lte(u3_atom, u3_atom);
+    u3_noun u3qeq_equ(u3_atom, u3_atom);
+    u3_noun u3qeq_gte(u3_atom, u3_atom);
+    u3_noun u3qeq_gth(u3_atom, u3_atom);
 
   /** Tier 6.
   **/
diff --git a/include/jets/w.h b/include/jets/w.h
index f0b207a575..b3699e7975 100644
--- a/include/jets/w.h
+++ b/include/jets/w.h
@@ -163,6 +163,17 @@
     u3_noun u3wet_gte(u3_noun);
     u3_noun u3wet_gth(u3_noun);
 
+    u3_noun u3weq_add(u3_noun);
+    u3_noun u3weq_sub(u3_noun);
+    u3_noun u3weq_mul(u3_noun);
+    u3_noun u3weq_div(u3_noun);
+    u3_noun u3weq_sqt(u3_noun);
+    u3_noun u3weq_fma(u3_noun);
+    u3_noun u3weq_lth(u3_noun);
+    u3_noun u3weq_lte(u3_noun);
+    u3_noun u3weq_equ(u3_noun);
+    u3_noun u3weq_gte(u3_noun);
+    u3_noun u3weq_gth(u3_noun);
 
   /** Tier 6.
   **/
diff --git a/jets/e/rq.c b/jets/e/rq.c
new file mode 100644
index 0000000000..71c874f748
--- /dev/null
+++ b/jets/e/rq.c
@@ -0,0 +1,428 @@
+/* j/e/rq.c
+**
+*/
+#include "all.h"
+#include "softfloat.h"
+
+#define QUADNAN 0x7fff800000000000
+
+  union quad {
+    float128_t* q;
+    c3_w* c;
+  };
+
+/* functions
+*/
+  static inline c3_t
+  _nan_test(float128_t* a)
+  {
+    return !f128M_eq(a, a);
+  }
+
+  static inline void
+  _nan_unify(float128_t* a)
+  {
+    if (_nan_test(a))
+    {
+      *((c3_d*)a)     = 0;
+      *(((c3_d*)a)+1) = QUADNAN;
+    }
+  }
+
+/* add
+*/
+  u3_noun
+  u3qeq_add(u3_atom a, u3_atom b)
+  {
+    union quad c, d, e;
+    c.c = u3a_walloc(4);
+    d.c = u3a_walloc(4);
+    e.c = u3a_walloc(4);
+
+    u3r_words(0, 4, c.c, a);
+    u3r_words(0, 4, d.c, b);
+    f128M_add(c.q, d.q, e.q);
+    _nan_unify(e.q);
+
+    u3_atom f = u3i_words(4, e.c);
+    u3a_wfree(c.c);
+    u3a_wfree(d.c);
+    u3a_wfree(e.c);
+    return f;
+  }
+
+  u3_noun
+  u3weq_add(u3_noun cor)
+  {
+    u3_noun a, b;
+
+    if ( c3n == u3r_mean(cor, u3x_sam_2, &a, u3x_sam_3, &b, 0) ||
+         c3n == u3ud(a) ||
+         c3n == u3ud(b) )
+    {
+      return u3m_bail(c3__exit);
+    }
+    else {
+      return u3qeq_add(a, b);
+    }
+  }
+
+/* sub
+*/
+  u3_noun
+  u3qeq_sub(u3_atom a, u3_atom b)
+  {
+    union quad c, d, e;
+    c.c = u3a_walloc(4);
+    d.c = u3a_walloc(4);
+    e.c = u3a_walloc(4);
+
+    u3r_words(0, 4, c.c, a);
+    u3r_words(0, 4, d.c, b);
+    f128M_sub(c.q, d.q, e.q);
+    _nan_unify(e.q);
+
+    u3_atom f = u3i_words(4, e.c);
+    u3a_wfree(c.c);
+    u3a_wfree(d.c);
+    u3a_wfree(e.c);
+    return f;
+  }
+
+  u3_noun
+  u3weq_sub(u3_noun cor)
+  {
+    u3_noun a, b;
+
+    if ( c3n == u3r_mean(cor, u3x_sam_2, &a, u3x_sam_3, &b, 0) ||
+         c3n == u3ud(a) ||
+         c3n == u3ud(b) )
+    {
+      return u3m_bail(c3__exit);
+    }
+    else {
+      return u3qeq_sub(a, b);
+    }
+  }
+
+/* mul
+*/
+  u3_noun
+  u3qeq_mul(u3_atom a, u3_atom b)
+  {
+    union quad c, d, e;
+    c.c = u3a_walloc(4);
+    d.c = u3a_walloc(4);
+    e.c = u3a_walloc(4);
+
+    u3r_words(0, 4, c.c, a);
+    u3r_words(0, 4, d.c, b);
+    f128M_mul(c.q, d.q, e.q);
+    _nan_unify(e.q);
+
+    u3_atom f = u3i_words(4, e.c);
+    u3a_wfree(c.c);
+    u3a_wfree(d.c);
+    u3a_wfree(e.c);
+    return f;
+  }
+
+  u3_noun
+  u3weq_mul(u3_noun cor)
+  {
+    u3_noun a, b;
+
+    if ( c3n == u3r_mean(cor, u3x_sam_2, &a, u3x_sam_3, &b, 0) ||
+         c3n == u3ud(a) ||
+         c3n == u3ud(b) )
+    {
+      return u3m_bail(c3__exit);
+    }
+    else {
+      return u3qeq_mul(a, b);
+    }
+  }
+
+/* div
+*/
+  u3_noun
+  u3qeq_div(u3_atom a, u3_atom b)
+  {
+    union quad c, d, e;
+    c.c = u3a_walloc(4);
+    d.c = u3a_walloc(4);
+    e.c = u3a_walloc(4);
+
+    u3r_words(0, 4, c.c, a);
+    u3r_words(0, 4, d.c, b);
+    f128M_div(c.q, d.q, e.q);
+    _nan_unify(e.q);
+
+    u3_atom f = u3i_words(4, e.c);
+    u3a_wfree(c.c);
+    u3a_wfree(d.c);
+    u3a_wfree(e.c);
+    return f;
+  }
+
+  u3_noun
+  u3weq_div(u3_noun cor)
+  {
+    u3_noun a, b;
+
+    if ( c3n == u3r_mean(cor, u3x_sam_2, &a, u3x_sam_3, &b, 0) ||
+         c3n == u3ud(a) ||
+         c3n == u3ud(b) )
+    {
+      return u3m_bail(c3__exit);
+    }
+    else {
+      return u3qeq_div(a, b);
+    }
+  }
+
+/* sqt
+*/
+  u3_noun
+  u3qeq_sqt(u3_atom a)
+  {
+    union quad c, d;
+    c.c = u3a_walloc(4);
+    d.c = u3a_walloc(4);
+
+    u3r_words(0, 4, c.c, a);
+    f128M_sqrt(c.q, d.q);
+    _nan_unify(d.q);
+
+    u3_atom e = u3i_words(4, d.c);
+    u3a_wfree(c.c);
+    u3a_wfree(d.c);
+    return e;
+  }
+
+  u3_noun
+  u3weq_sqt(u3_noun cor)
+  {
+    u3_noun a;
+
+    if ( c3n == (a = u3r_at(u3x_sam, cor)) ||
+         c3n == u3ud(a) )
+    {
+      return u3m_bail(c3__exit);
+    }
+    else {
+      return u3qeq_sqt(a);
+    }
+  }
+
+/* fma
+*/
+  u3_noun
+  u3qeq_fma(u3_atom a, u3_atom b, u3_atom c)
+  {
+    union quad d, e, f, g;
+    d.c = u3a_walloc(4);
+    e.c = u3a_walloc(4);
+    f.c = u3a_walloc(4);
+    g.c = u3a_walloc(4);
+
+    u3r_words(0, 4, d.c, a);
+    u3r_words(0, 4, e.c, b);
+    u3r_words(0, 4, f.c, c);
+    f128M_mulAdd(d.q, e.q, f.q, g.q);
+    _nan_unify(g.q);
+
+    u3_atom h = u3i_words(4, g.c);
+    u3a_wfree(d.c);
+    u3a_wfree(e.c);
+    u3a_wfree(f.c);
+    u3a_wfree(g.c);
+    return h;
+  }
+
+  u3_noun
+  u3weq_fma(u3_noun cor)
+  {
+    u3_noun a, b, c;
+
+    if ( c3n == u3r_mean(cor, u3x_sam_2, &a, u3x_sam_6, &b, u3x_sam_7, &c, 0) ||
+         c3n == u3ud(a) ||
+         c3n == u3ud(b) ||
+         c3n == u3ud(c) )
+    {
+      return u3m_bail(c3__exit);
+    }
+    else {
+      return u3qeq_fma(a, b, c);
+    }
+  }
+
+/* lth
+*/
+  u3_noun
+  u3qeq_lth(u3_atom a, u3_atom b)
+  {
+    union quad c, d;
+    c.c = u3a_walloc(4);
+    d.c = u3a_walloc(4);
+
+    u3r_words(0, 4, c.c, a);
+    u3r_words(0, 4, d.c, b);
+    c3_o e = __(f128M_lt(c.q, d.q));
+
+    u3a_wfree(c.c);
+    u3a_wfree(d.c);
+    return e;
+  }
+
+  u3_noun
+  u3weq_lth(u3_noun cor)
+  {
+    u3_noun a, b;
+
+    if ( c3n == u3r_mean(cor, u3x_sam_2, &a, u3x_sam_3, &b, 0) ||
+         c3n == u3ud(a) ||
+         c3n == u3ud(b) )
+    {
+      return u3m_bail(c3__exit);
+    }
+    else {
+      return u3qeq_lth(a, b);
+    }
+  }
+
+/* lte
+*/
+  u3_noun
+  u3qeq_lte(u3_atom a, u3_atom b)
+  {
+    union quad c, d;
+    c.c = u3a_walloc(4);
+    d.c = u3a_walloc(4);
+
+    u3r_words(0, 4, c.c, a);
+    u3r_words(0, 4, d.c, b);
+    c3_o e = __(f128M_le(c.q, d.q));
+
+    u3a_wfree(c.c);
+    u3a_wfree(d.c);
+    return e;
+  }
+
+  u3_noun
+  u3weq_lte(u3_noun cor)
+  {
+    u3_noun a, b;
+
+    if ( c3n == u3r_mean(cor, u3x_sam_2, &a, u3x_sam_3, &b, 0) ||
+         c3n == u3ud(a) ||
+         c3n == u3ud(b) )
+    {
+      return u3m_bail(c3__exit);
+    }
+    else {
+      return u3qeq_lte(a, b);
+    }
+  }
+
+/* equ
+*/
+  u3_noun
+  u3qeq_equ(u3_atom a, u3_atom b)
+  {
+    union quad c, d;
+    c.c = u3a_walloc(4);
+    d.c = u3a_walloc(4);
+
+    u3r_words(0, 4, c.c, a);
+    u3r_words(0, 4, d.c, b);
+    c3_o e = __(f128M_eq(c.q, d.q));
+
+    u3a_wfree(c.c);
+    u3a_wfree(d.c);
+    return e;
+  }
+
+  u3_noun
+  u3weq_equ(u3_noun cor)
+  {
+    u3_noun a, b;
+
+    if ( c3n == u3r_mean(cor, u3x_sam_2, &a, u3x_sam_3, &b, 0) ||
+         c3n == u3ud(a) ||
+         c3n == u3ud(b) )
+    {
+      return u3m_bail(c3__exit);
+    }
+    else {
+      return u3qeq_equ(a, b);
+    }
+  }
+
+/* gte
+*/
+  u3_noun
+  u3qeq_gte(u3_atom a, u3_atom b)
+  {
+    union quad c, d;
+    c.c = u3a_walloc(4);
+    d.c = u3a_walloc(4);
+
+    u3r_words(0, 4, c.c, a);
+    u3r_words(0, 4, d.c, b);
+    c3_o e = __(f128M_le(d.q, c.q));
+
+    u3a_wfree(c.c);
+    u3a_wfree(d.c);
+    return e;
+  }
+
+  u3_noun
+  u3weq_gte(u3_noun cor)
+  {
+    u3_noun a, b;
+
+    if ( c3n == u3r_mean(cor, u3x_sam_2, &a, u3x_sam_3, &b, 0) ||
+         c3n == u3ud(a) ||
+         c3n == u3ud(b) )
+    {
+      return u3m_bail(c3__exit);
+    }
+    else {
+      return u3qeq_gte(a, b);
+    }
+  }
+
+/* gth
+*/
+  u3_noun
+  u3qeq_gth(u3_atom a, u3_atom b)
+  {
+    union quad c, d;
+    c.c = u3a_walloc(4);
+    d.c = u3a_walloc(4);
+
+    u3r_words(0, 4, c.c, a);
+    u3r_words(0, 4, d.c, b);
+    c3_o e = __(f128M_lt(d.q, c.q));
+
+    u3a_wfree(c.c);
+    u3a_wfree(d.c);
+    return e;
+  }
+
+  u3_noun
+  u3weq_gth(u3_noun cor)
+  {
+    u3_noun a, b;
+
+    if ( c3n == u3r_mean(cor, u3x_sam_2, &a, u3x_sam_3, &b, 0) ||
+         c3n == u3ud(a) ||
+         c3n == u3ud(b) )
+    {
+      return u3m_bail(c3__exit);
+    }
+    else {
+      return u3qeq_gth(a, b);
+    }
+  }
diff --git a/jets/tree.c b/jets/tree.c
index fe76c27ade..086b128106 100644
--- a/jets/tree.c
+++ b/jets/tree.c
@@ -255,6 +255,32 @@ static u3j_core _mood__hoon__rs_d[] =
     {}
   };
 
+static u3j_harm _mood__hoon__rq_add_a[] = {{".2", u3weq_add}, {}};
+static u3j_harm _mood__hoon__rq_sub_a[] = {{".2", u3weq_sub}, {}};
+static u3j_harm _mood__hoon__rq_mul_a[] = {{".2", u3weq_mul}, {}};
+static u3j_harm _mood__hoon__rq_div_a[] = {{".2", u3weq_div}, {}};
+static u3j_harm _mood__hoon__rq_sqt_a[] = {{".2", u3weq_sqt}, {}};
+static u3j_harm _mood__hoon__rq_fma_a[] = {{".2", u3weq_fma}, {}};
+static u3j_harm _mood__hoon__rq_lth_a[] = {{".2", u3weq_lth}, {}};
+static u3j_harm _mood__hoon__rq_lte_a[] = {{".2", u3weq_lte}, {}};
+static u3j_harm _mood__hoon__rq_equ_a[] = {{".2", u3weq_equ}, {}};
+static u3j_harm _mood__hoon__rq_gte_a[] = {{".2", u3weq_gte}, {}};
+static u3j_harm _mood__hoon__rq_gth_a[] = {{".2", u3weq_gth}, {}};
+static u3j_core _mood__hoon__rq_d[] =
+  { { "add", _mood__hoon__rq_add_a },
+    { "sub", _mood__hoon__rq_sub_a },
+    { "mul", _mood__hoon__rq_mul_a },
+    { "div", _mood__hoon__rq_div_a },
+    { "sqt", _mood__hoon__rq_sqt_a },
+    { "fma", _mood__hoon__rq_fma_a },
+    { "lth", _mood__hoon__rq_lth_a },
+    { "lte", _mood__hoon__rq_lte_a },
+    { "equ", _mood__hoon__rq_equ_a },
+    { "gte", _mood__hoon__rq_gte_a },
+    { "gth", _mood__hoon__rq_gth_a },
+    {}
+  };
+
 static u3j_harm _mood__hoon__coed__ed_puck_a[] = {{".2", u3wee_puck}, {}};
 static u3j_harm _mood__hoon__coed__ed_sign_a[] = {{".2", u3wee_sign}, {}};
 static u3j_harm _mood__hoon__coed__ed_veri_a[] = {{".2", u3wee_veri}, {}};
@@ -482,6 +508,7 @@ static u3j_core _mood__hoon_d[] =
 
     { "rd", 0, _mood__hoon__rd_d },
     { "rs", 0, _mood__hoon__rs_d },
+    { "rq", 0, _mood__hoon__rq_d },
     { "og", 0, _mood__hoon__og_d },
     { "coed", 0, _mood__hoon__coed_d },
     { "scr", 0, _mood__hoon__scr_d },