diff --git a/Makefile b/Makefile
index a3a5313271..7ee953b95e 100644
--- a/Makefile
+++ b/Makefile
@@ -270,6 +270,7 @@ J_E_OFILES=\
        jets/e/rd.o \
        jets/e/rq.o \
        jets/e/rs.o \
+       jets/e/rh.o \
        jets/e/rub.o \
        jets/e/scr.o \
        jets/e/shax.o \
diff --git a/include/jets/q.h b/include/jets/q.h
index e3c3b3a845..bc96f55686 100644
--- a/include/jets/q.h
+++ b/include/jets/q.h
@@ -174,6 +174,18 @@
     u3_noun u3qeq_gte(u3_atom, u3_atom);
     u3_noun u3qeq_gth(u3_atom, u3_atom);
 
+    u3_noun u3qes_add(u3_atom, u3_atom, u3_atom);
+    u3_noun u3qes_sub(u3_atom, u3_atom, u3_atom);
+    u3_noun u3qes_mul(u3_atom, u3_atom, u3_atom);
+    u3_noun u3qes_div(u3_atom, u3_atom, u3_atom);
+    u3_noun u3qes_sqt(u3_atom, u3_atom);
+    u3_noun u3qes_fma(u3_atom, u3_atom, u3_atom, u3_atom);
+    u3_noun u3qes_lth(u3_atom, u3_atom);
+    u3_noun u3qes_lte(u3_atom, u3_atom);
+    u3_noun u3qes_equ(u3_atom, u3_atom);
+    u3_noun u3qes_gte(u3_atom, u3_atom);
+    u3_noun u3qes_gth(u3_atom, u3_atom);
+
   /** Tier 6.
   **/
     u3_noun u3qf_bull(u3_noun, u3_noun);
diff --git a/include/jets/w.h b/include/jets/w.h
index ca58551a9f..f6c09c59d9 100644
--- a/include/jets/w.h
+++ b/include/jets/w.h
@@ -204,6 +204,18 @@
     u3_noun u3weq_gte(u3_noun);
     u3_noun u3weq_gth(u3_noun);
 
+    u3_noun u3wes_add(u3_noun);
+    u3_noun u3wes_sub(u3_noun);
+    u3_noun u3wes_mul(u3_noun);
+    u3_noun u3wes_div(u3_noun);
+    u3_noun u3wes_sqt(u3_noun);
+    u3_noun u3wes_fma(u3_noun);
+    u3_noun u3wes_lth(u3_noun);
+    u3_noun u3wes_lte(u3_noun);
+    u3_noun u3wes_equ(u3_noun);
+    u3_noun u3wes_gte(u3_noun);
+    u3_noun u3wes_gth(u3_noun);
+
   /** Tier 6.
   **/
     u3_noun u3wf_bull(u3_noun);
diff --git a/jets/e/rh.c b/jets/e/rh.c
new file mode 100644
index 0000000000..96c2f2f74c
--- /dev/null
+++ b/jets/e/rh.c
@@ -0,0 +1,390 @@
+/* j/e/rh.c
+**
+*/
+#include "all.h"
+#include "softfloat.h"
+
+#define HALFNAN 0x7e00
+
+  union half {
+    float16_t h;
+    c3_s c;
+  };
+
+/* functions
+*/
+  static inline c3_t
+  _nan_test(float16_t a)
+  {
+    return !f16_eq(a, a);
+  }
+
+  static inline float16_t
+  _nan_unify(float16_t a)
+  {
+    if ( _nan_test(a) )
+    {
+      *(c3_s*)(&a) = HALFNAN;
+    }
+    return a;
+  }
+
+  static inline void
+  _set_rounding(c3_w a)
+  {
+    switch ( a )
+    {
+    default:
+      u3m_bail(c3__fail);
+      break;
+    case c3__n:
+      softfloat_roundingMode = softfloat_round_near_even;
+      break;
+    case c3__z:
+      softfloat_roundingMode = softfloat_round_minMag;
+      break;
+    case c3__u:
+      softfloat_roundingMode = softfloat_round_max;
+      break;
+    case c3__d:
+      softfloat_roundingMode = softfloat_round_min;
+      break;
+    }
+  }
+
+/* add
+*/
+  u3_noun
+  u3qes_add(u3_atom a,
+            u3_atom b,
+            u3_atom r)
+  {
+    union half c, d, e;
+    _set_rounding(r);
+    c.c = u3r_word(0, a);
+    d.c = u3r_word(0, b);
+    e.h = _nan_unify(f16_add(c.h, d.h));
+
+    return e.c;
+  }
+
+  u3_noun
+  u3wes_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 u3qes_add(a, b, u3x_at(30, cor));
+    }
+  }
+
+/* sub
+*/
+  u3_noun
+  u3qes_sub(u3_atom a,
+            u3_atom b,
+            u3_atom r)
+  {
+    union half c, d, e;
+    _set_rounding(r);
+    c.c = u3r_word(0, a);
+    d.c = u3r_word(0, b);
+    e.h = _nan_unify(f16_sub(c.h, d.h));
+
+    return e.c;
+  }
+
+  u3_noun
+  u3wes_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 u3qes_sub(a, b, u3x_at(30, cor));
+    }
+  }
+
+/* mul
+*/
+  u3_noun
+  u3qes_mul(u3_atom a,
+            u3_atom b,
+            u3_atom r)
+  {
+    union half c, d, e;
+    _set_rounding(r);
+    c.c = u3r_word(0, a);
+    d.c = u3r_word(0, b);
+    e.h = _nan_unify(f16_mul(c.h, d.h));
+
+    return e.c;
+  }
+
+  u3_noun
+  u3wes_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 u3qes_mul(a, b, u3x_at(30, cor));
+    }
+  }
+
+/* div
+*/
+  u3_noun
+  u3qes_div(u3_atom a, 
+            u3_atom b, 
+            u3_atom r)
+  {
+    union half c, d, e;
+    _set_rounding(r);
+    c.c = u3r_word(0, a);
+    d.c = u3r_word(0, b);
+    e.h = _nan_unify(f16_div(c.h, d.h));
+
+    return e.c;
+  }
+
+  u3_noun
+  u3wes_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 u3qes_div(a, b, u3x_at(30, cor));
+    }
+  }
+
+/* sqt
+*/
+  u3_noun
+  u3qes_sqt(u3_atom a, 
+            u3_atom r)
+  {
+    union half c, d;
+    _set_rounding(r);
+    c.c = u3r_word(0, a);
+    d.h = _nan_unify(f16_sqrt(c.h));
+
+    return d.c;
+  }
+
+  u3_noun
+  u3wes_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 u3qes_sqt(a, u3x_at(30, cor));
+    }
+  }
+
+/* fma
+*/
+  u3_noun
+  u3qes_fma(u3_atom a,
+            u3_atom b,
+            u3_atom c,
+            u3_atom r)
+  {
+    union half d, e, f, g;
+    _set_rounding(r);
+    d.c = u3r_word(0, a);
+    e.c = u3r_word(0, b);
+    f.c = u3r_word(0, c);
+    g.h = _nan_unify(f16_mulAdd(d.h, e.h, f.h));
+
+    return g.c;
+  }
+
+  u3_noun
+  u3wes_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 u3qes_fma(a, b, c, u3x_at(30, cor));
+    }
+  }
+
+/* lth
+*/
+  u3_noun
+  u3qes_lth(u3_atom a,
+            u3_atom b)
+  {
+    union half c, d;
+    c.c = u3r_word(0, a);
+    d.c = u3r_word(0, b);
+
+    return __(f16_lt(c.h, d.h));
+  }
+
+  u3_noun
+  u3wes_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 u3qes_lth(a, b);
+    }
+  }
+
+/* lte
+*/
+  u3_noun
+  u3qes_lte(u3_atom a,
+            u3_atom b)
+  {
+    union half c, d;
+    c.c = u3r_word(0, a);
+    d.c = u3r_word(0, b);
+
+    return __(f16_le(c.h, d.h));
+  }
+
+  u3_noun
+  u3wes_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 u3qes_lte(a, b);
+    }
+  }
+
+/* equ
+*/
+  u3_noun
+  u3qes_equ(u3_atom a,
+            u3_atom b)
+  {
+    union half c, d;
+    c.c = u3r_word(0, a);
+    d.c = u3r_word(0, b);
+
+    return __(f16_eq(c.h, d.h));
+  }
+
+  u3_noun
+  u3wes_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 u3qes_equ(a, b);
+    }
+  }
+
+/* gte
+*/
+  u3_noun
+  u3qes_gte(u3_atom a,
+            u3_atom b)
+  {
+    union half c, d;
+    c.c = u3r_word(0, a);
+    d.c = u3r_word(0, b);
+
+    return __(f16_le(d.h, c.h));
+  }
+
+  u3_noun
+  u3wes_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 u3qes_gte(a, b);
+    }
+  }
+
+/* gth
+*/
+  u3_noun
+  u3qes_gth(u3_atom a,
+            u3_atom b)
+  {
+    union half c, d;
+    c.c = u3r_word(0, a);
+    d.c = u3r_word(0, b);
+
+    return __(f16_lt(d.h, c.h));
+  }
+
+  u3_noun
+  u3wes_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 u3qes_gth(a, b);
+    }
+  }
diff --git a/jets/tree.c b/jets/tree.c
index 82d988e2d0..0e827ecd3e 100644
--- a/jets/tree.c
+++ b/jets/tree.c
@@ -247,6 +247,14 @@ static u3j_core _149_qua_d[] =
 
 /* layer three
 */
+    static u3j_harm _149_tri__cofl__drg_a[] = {{".2", u3wef_drg}, {}};
+    static u3j_harm _149_tri__cofl__lug_a[] = {{".2", u3wef_lug}, {}};
+  static u3j_core _149_tri__cofl_d[] =
+    { { "drg", _149_tri__cofl__drg_a },
+      { "lug", _149_tri__cofl__lug_a },
+      {}
+    };
+
     static u3j_harm _149_tri__rd_add_a[] = {{".2", u3wer_add}, {}};
     static u3j_harm _149_tri__rd_sub_a[] = {{".2", u3wer_sub}, {}};
     static u3j_harm _149_tri__rd_mul_a[] = {{".2", u3wer_mul}, {}};
@@ -272,15 +280,6 @@ static u3j_core _149_qua_d[] =
       { "gth", _149_tri__rd_gth_a },
       {}
     };
-
-    static u3j_harm _149_tri__cofl__drg_a[] = {{".2", u3wef_drg}, {}};
-    static u3j_harm _149_tri__cofl__lug_a[] = {{".2", u3wef_lug}, {}};
-  static u3j_core _149_tri__cofl_d[] =
-    { { "drg", _149_tri__cofl__drg_a },
-      { "lug", _149_tri__cofl__lug_a },
-      {}
-    };
-
     static u3j_harm _149_tri__rs_add_a[] = {{".2", u3wet_add}, {}};
     static u3j_harm _149_tri__rs_sub_a[] = {{".2", u3wet_sub}, {}};
     static u3j_harm _149_tri__rs_mul_a[] = {{".2", u3wet_mul}, {}};
@@ -333,6 +332,32 @@ static u3j_core _149_qua_d[] =
       {}
     };
 
+    static u3j_harm _149_tri__rh_add_a[] = {{".2", u3wes_add}, {}};
+    static u3j_harm _149_tri__rh_sub_a[] = {{".2", u3wes_sub}, {}};
+    static u3j_harm _149_tri__rh_mul_a[] = {{".2", u3wes_mul}, {}};
+    static u3j_harm _149_tri__rh_div_a[] = {{".2", u3wes_div}, {}};
+    static u3j_harm _149_tri__rh_sqt_a[] = {{".2", u3wes_sqt}, {}};
+    static u3j_harm _149_tri__rh_fma_a[] = {{".2", u3wes_fma}, {}};
+    static u3j_harm _149_tri__rh_lth_a[] = {{".2", u3wes_lth}, {}};
+    static u3j_harm _149_tri__rh_lte_a[] = {{".2", u3wes_lte}, {}};
+    static u3j_harm _149_tri__rh_equ_a[] = {{".2", u3wes_equ}, {}};
+    static u3j_harm _149_tri__rh_gte_a[] = {{".2", u3wes_gte}, {}};
+    static u3j_harm _149_tri__rh_gth_a[] = {{".2", u3wes_gth}, {}};
+  static u3j_core _149_tri__rh_d[] =
+    { { "add", _149_tri__rh_add_a },
+      { "sub", _149_tri__rh_sub_a },
+      { "mul", _149_tri__rh_mul_a },
+      { "div", _149_tri__rh_div_a },
+      { "sqt", _149_tri__rh_sqt_a },
+      { "fma", _149_tri__rh_fma_a },
+      { "lth", _149_tri__rh_lth_a },
+      { "lte", _149_tri__rh_lte_a },
+      { "equ", _149_tri__rh_equ_a },
+      { "gte", _149_tri__rh_gte_a },
+      { "gth", _149_tri__rh_gth_a },
+      {}
+    };
+
     static u3j_harm _149_tri__aesc_en_a[] = {{".2", u3wea_en}, {}};
     static u3j_harm _149_tri__aesc_de_a[] = {{".2", u3wea_de}, {}};
   static u3j_core _149_tri__aesc_d[] =
@@ -359,6 +384,7 @@ static u3j_core _149_tri_d[] =
     { "rd", 0, _149_tri__rd_d },
     { "rs", 0, _149_tri__rs_d },
     { "rq", 0, _149_tri__rq_d },
+    { "rh", 0, _149_tri__rh_d },
     { "og", 0, _149_tri__og_d },
     { "shax", _149_tri_shax_a },
     { "shay", _149_tri_shay_a },
@@ -813,6 +839,14 @@ static u3j_core _150_qua_d[] =
 
 /* layer three
 */
+    static u3j_harm _150_tri__cofl__drg_a[] = {{".2", u3wef_drg}, {}};
+    static u3j_harm _150_tri__cofl__lug_a[] = {{".2", u3wef_lug}, {}};
+  static u3j_core _150_tri__cofl_d[] =
+    { { "drg", _150_tri__cofl__drg_a },
+      { "lug", _150_tri__cofl__lug_a },
+      {}
+    };
+
     static u3j_harm _150_tri__rd_add_a[] = {{".2", u3wer_add}, {}};
     static u3j_harm _150_tri__rd_sub_a[] = {{".2", u3wer_sub}, {}};
     static u3j_harm _150_tri__rd_mul_a[] = {{".2", u3wer_mul}, {}};
@@ -839,14 +873,6 @@ static u3j_core _150_qua_d[] =
       {}
     };
 
-    static u3j_harm _150_tri__cofl__drg_a[] = {{".2", u3wef_drg}, {}};
-    static u3j_harm _150_tri__cofl__lug_a[] = {{".2", u3wef_lug}, {}};
-  static u3j_core _150_tri__cofl_d[] =
-    { { "drg", _150_tri__cofl__drg_a },
-      { "lug", _150_tri__cofl__lug_a },
-      {}
-    };
-
     static u3j_harm _150_tri__rs_add_a[] = {{".2", u3wet_add}, {}};
     static u3j_harm _150_tri__rs_sub_a[] = {{".2", u3wet_sub}, {}};
     static u3j_harm _150_tri__rs_mul_a[] = {{".2", u3wet_mul}, {}};
@@ -899,6 +925,32 @@ static u3j_core _150_qua_d[] =
       {}
     };
 
+    static u3j_harm _150_tri__rh_add_a[] = {{".2", u3wes_add}, {}};
+    static u3j_harm _150_tri__rh_sub_a[] = {{".2", u3wes_sub}, {}};
+    static u3j_harm _150_tri__rh_mul_a[] = {{".2", u3wes_mul}, {}};
+    static u3j_harm _150_tri__rh_div_a[] = {{".2", u3wes_div}, {}};
+    static u3j_harm _150_tri__rh_sqt_a[] = {{".2", u3wes_sqt}, {}};
+    static u3j_harm _150_tri__rh_fma_a[] = {{".2", u3wes_fma}, {}};
+    static u3j_harm _150_tri__rh_lth_a[] = {{".2", u3wes_lth}, {}};
+    static u3j_harm _150_tri__rh_lte_a[] = {{".2", u3wes_lte}, {}};
+    static u3j_harm _150_tri__rh_equ_a[] = {{".2", u3wes_equ}, {}};
+    static u3j_harm _150_tri__rh_gte_a[] = {{".2", u3wes_gte}, {}};
+    static u3j_harm _150_tri__rh_gth_a[] = {{".2", u3wes_gth}, {}};
+  static u3j_core _150_tri__rh_d[] =
+    { { "add", _150_tri__rh_add_a },
+      { "sub", _150_tri__rh_sub_a },
+      { "mul", _150_tri__rh_mul_a },
+      { "div", _150_tri__rh_div_a },
+      { "sqt", _150_tri__rh_sqt_a },
+      { "fma", _150_tri__rh_fma_a },
+      { "lth", _150_tri__rh_lth_a },
+      { "lte", _150_tri__rh_lte_a },
+      { "equ", _150_tri__rh_equ_a },
+      { "gte", _150_tri__rh_gte_a },
+      { "gth", _150_tri__rh_gth_a },
+      {}
+    };
+
     static u3j_harm _150_tri__aesc_en_a[] = {{".2", u3wea_en}, {}};
     static u3j_harm _150_tri__aesc_de_a[] = {{".2", u3wea_de}, {}};
   static u3j_core _150_tri__aesc_d[] =
@@ -925,6 +977,7 @@ static u3j_core _150_tri_d[] =
     { "rd", 0, _150_tri__rd_d },
     { "rs", 0, _150_tri__rs_d },
     { "rq", 0, _150_tri__rq_d },
+    { "rh", 0, _150_tri__rh_d },
     { "og", 0, _150_tri__og_d },
     { "shax", _150_tri_shax_a },
     { "shay", _150_tri_shay_a },