diff --git a/jax/_src/ad_checkpoint.py b/jax/_src/ad_checkpoint.py
index 6f752e0e2e4a..109f32d8f1ae 100644
--- a/jax/_src/ad_checkpoint.py
+++ b/jax/_src/ad_checkpoint.py
@@ -28,6 +28,7 @@
 from jax._src import config
 from jax._src import core
 from jax._src import dispatch
+from jax._src import dtypes
 from jax._src import linear_util as lu
 from jax._src import effects
 from jax._src import source_info_util
@@ -546,6 +547,9 @@ def remat_partial_eval(trace, *tracers, jaxpr, **params):
   jaxpr_known, in_used_known = pe.dce_jaxpr(jaxpr_known, out_used_known)
   num_res = sum(used_res)
 
+  # insert reduce_precision calls
+  jaxpr_known = _insert_reduce_precision(jaxpr_known, num_res)
+
   # compute known outputs and residuals (hoisted out of remat primitive)
   _, in_consts_ = unzip2(t.pval for t in tracers if t.pval.is_known())
   _, in_consts = partition_list(in_used_known, in_consts_)
@@ -589,6 +593,39 @@ def remat_partial_eval(trace, *tracers, jaxpr, **params):
   return merge_lists(out_unknowns, out_knowns, out_jaxpr_tracers)
 pe.custom_partial_eval_rules[remat_p] = remat_partial_eval
 
+@weakref_lru_cache
+def _insert_reduce_precision(jaxpr: core.Jaxpr, num_res: int) -> core.Jaxpr:
+  res_vars = jaxpr.outvars[len(jaxpr.outvars) - num_res:]
+  invars, constvars, eqns = jaxpr.invars[:], jaxpr.constvars[:], jaxpr.eqns[:]
+  for v in res_vars:
+    if (not isinstance(v.aval, core.UnshapedArray) or
+        not dtypes.issubdtype(v.aval.dtype, np.inexact)):
+      continue
+    newvar = core.Var(v.suffix, v.aval)
+    finfo = dtypes.finfo(v.aval.dtype)
+    params = dict(exponent_bits=finfo.nexp, mantissa_bits=finfo.nmant)
+    if v in constvars or v in invars:
+      lst = constvars if v in constvars else invars
+      new_eqn = core.new_jaxpr_eqn(
+          [newvar], [v], lax_internal.reduce_precision_p, params, set())
+      lst[lst.index(v)] = newvar
+      eqns.insert(0, new_eqn)
+    else:
+      (eqn_idx, eqn), = ((i, e) for i, e in enumerate(eqns) if v in e.outvars)
+      if (eqn.primitive == lax_internal.reduce_precision_p and
+          eqn.params == params):
+        continue
+      replace_eqn = eqn.replace(outvars=[v_ if v_ != v else newvar
+                                         for v_ in eqn.outvars])
+      new_eqn = core.new_jaxpr_eqn(
+          [newvar], [v], lax_internal.reduce_precision_p, params, set(),
+          eqn.source_info, eqn.ctx)
+      eqns[eqn_idx] = replace_eqn
+      eqns.insert(eqn_idx+1, new_eqn)
+  new_jaxpr = jaxpr.replace(invars=invars, constvars=constvars, eqns=eqns)
+  config.enable_checks.value and core.check_jaxpr(new_jaxpr)
+  return new_jaxpr
+
 def remat_partial_eval_custom_params_updater(*args):
   *_, params_known, params_staged = args
   return params_known, dict(params_staged, differentiated=True)