diff --git a/include/linux/bpf_verifier.h b/include/linux/bpf_verifier.h
index 5b11a3b0fec0..22fb13c738a9 100644
--- a/include/linux/bpf_verifier.h
+++ b/include/linux/bpf_verifier.h
@@ -557,6 +557,11 @@ struct backtrack_state {
 	u64 stack_masks[MAX_CALL_FRAMES];
 };
 
+struct bpf_idset {
+	u32 count;
+	u32 ids[BPF_ID_MAP_SIZE];
+};
+
 /* single container for all structs
  * one verifier_env per bpf_check() call
  */
@@ -588,7 +593,10 @@ struct bpf_verifier_env {
 	const struct bpf_line_info *prev_linfo;
 	struct bpf_verifier_log log;
 	struct bpf_subprog_info subprog_info[BPF_MAX_SUBPROGS + 1];
-	struct bpf_id_pair idmap_scratch[BPF_ID_MAP_SIZE];
+	union {
+		struct bpf_id_pair idmap_scratch[BPF_ID_MAP_SIZE];
+		struct bpf_idset idset_scratch;
+	};
 	struct {
 		int *insn_state;
 		int *insn_stack;
diff --git a/kernel/bpf/verifier.c b/kernel/bpf/verifier.c
index 1e38584d497c..064aef5cd186 100644
--- a/kernel/bpf/verifier.c
+++ b/kernel/bpf/verifier.c
@@ -3779,6 +3779,96 @@ static void mark_all_scalars_imprecise(struct bpf_verifier_env *env, struct bpf_
 	}
 }
 
+static bool idset_contains(struct bpf_idset *s, u32 id)
+{
+	u32 i;
+
+	for (i = 0; i < s->count; ++i)
+		if (s->ids[i] == id)
+			return true;
+
+	return false;
+}
+
+static int idset_push(struct bpf_idset *s, u32 id)
+{
+	if (WARN_ON_ONCE(s->count >= ARRAY_SIZE(s->ids)))
+		return -EFAULT;
+	s->ids[s->count++] = id;
+	return 0;
+}
+
+static void idset_reset(struct bpf_idset *s)
+{
+	s->count = 0;
+}
+
+/* Collect a set of IDs for all registers currently marked as precise in env->bt.
+ * Mark all registers with these IDs as precise.
+ */
+static int mark_precise_scalar_ids(struct bpf_verifier_env *env, struct bpf_verifier_state *st)
+{
+	struct bpf_idset *precise_ids = &env->idset_scratch;
+	struct backtrack_state *bt = &env->bt;
+	struct bpf_func_state *func;
+	struct bpf_reg_state *reg;
+	DECLARE_BITMAP(mask, 64);
+	int i, fr;
+
+	idset_reset(precise_ids);
+
+	for (fr = bt->frame; fr >= 0; fr--) {
+		func = st->frame[fr];
+
+		bitmap_from_u64(mask, bt_frame_reg_mask(bt, fr));
+		for_each_set_bit(i, mask, 32) {
+			reg = &func->regs[i];
+			if (!reg->id || reg->type != SCALAR_VALUE)
+				continue;
+			if (idset_push(precise_ids, reg->id))
+				return -EFAULT;
+		}
+
+		bitmap_from_u64(mask, bt_frame_stack_mask(bt, fr));
+		for_each_set_bit(i, mask, 64) {
+			if (i >= func->allocated_stack / BPF_REG_SIZE)
+				break;
+			if (!is_spilled_scalar_reg(&func->stack[i]))
+				continue;
+			reg = &func->stack[i].spilled_ptr;
+			if (!reg->id)
+				continue;
+			if (idset_push(precise_ids, reg->id))
+				return -EFAULT;
+		}
+	}
+
+	for (fr = 0; fr <= st->curframe; ++fr) {
+		func = st->frame[fr];
+
+		for (i = BPF_REG_0; i < BPF_REG_10; ++i) {
+			reg = &func->regs[i];
+			if (!reg->id)
+				continue;
+			if (!idset_contains(precise_ids, reg->id))
+				continue;
+			bt_set_frame_reg(bt, fr, i);
+		}
+		for (i = 0; i < func->allocated_stack / BPF_REG_SIZE; ++i) {
+			if (!is_spilled_scalar_reg(&func->stack[i]))
+				continue;
+			reg = &func->stack[i].spilled_ptr;
+			if (!reg->id)
+				continue;
+			if (!idset_contains(precise_ids, reg->id))
+				continue;
+			bt_set_frame_slot(bt, fr, i);
+		}
+	}
+
+	return 0;
+}
+
 /*
  * __mark_chain_precision() backtracks BPF program instruction sequence and
  * chain of verifier states making sure that register *regno* (if regno >= 0)
@@ -3910,6 +4000,31 @@ static int __mark_chain_precision(struct bpf_verifier_env *env, int regno)
 				bt->frame, last_idx, first_idx, subseq_idx);
 		}
 
+		/* If some register with scalar ID is marked as precise,
+		 * make sure that all registers sharing this ID are also precise.
+		 * This is needed to estimate effect of find_equal_scalars().
+		 * Do this at the last instruction of each state,
+		 * bpf_reg_state::id fields are valid for these instructions.
+		 *
+		 * Allows to track precision in situation like below:
+		 *
+		 *     r2 = unknown value
+		 *     ...
+		 *   --- state #0 ---
+		 *     ...
+		 *     r1 = r2                 // r1 and r2 now share the same ID
+		 *     ...
+		 *   --- state #1 {r1.id = A, r2.id = A} ---
+		 *     ...
+		 *     if (r2 > 10) goto exit; // find_equal_scalars() assigns range to r1
+		 *     ...
+		 *   --- state #2 {r1.id = A, r2.id = A} ---
+		 *     r3 = r10
+		 *     r3 += r1                // need to mark both r1 and r2
+		 */
+		if (mark_precise_scalar_ids(env, st))
+			return -EFAULT;
+
 		if (last_idx < 0) {
 			/* we are at the entry into subprog, which
 			 * is expected for global funcs, but only if
diff --git a/tools/testing/selftests/bpf/verifier/precise.c b/tools/testing/selftests/bpf/verifier/precise.c
index b8c0aae8e7ec..99272bb890da 100644
--- a/tools/testing/selftests/bpf/verifier/precise.c
+++ b/tools/testing/selftests/bpf/verifier/precise.c
@@ -46,7 +46,7 @@
 	mark_precise: frame0: regs=r2 stack= before 20\
 	mark_precise: frame0: parent state regs=r2 stack=:\
 	mark_precise: frame0: last_idx 19 first_idx 10\
-	mark_precise: frame0: regs=r2 stack= before 19\
+	mark_precise: frame0: regs=r2,r9 stack= before 19\
 	mark_precise: frame0: regs=r9 stack= before 18\
 	mark_precise: frame0: regs=r8,r9 stack= before 17\
 	mark_precise: frame0: regs=r0,r9 stack= before 15\
@@ -106,10 +106,10 @@
 	mark_precise: frame0: regs=r2 stack= before 22\
 	mark_precise: frame0: parent state regs=r2 stack=:\
 	mark_precise: frame0: last_idx 20 first_idx 20\
-	mark_precise: frame0: regs=r2 stack= before 20\
-	mark_precise: frame0: parent state regs=r2 stack=:\
+	mark_precise: frame0: regs=r2,r9 stack= before 20\
+	mark_precise: frame0: parent state regs=r2,r9 stack=:\
 	mark_precise: frame0: last_idx 19 first_idx 17\
-	mark_precise: frame0: regs=r2 stack= before 19\
+	mark_precise: frame0: regs=r2,r9 stack= before 19\
 	mark_precise: frame0: regs=r9 stack= before 18\
 	mark_precise: frame0: regs=r8,r9 stack= before 17\
 	mark_precise: frame0: parent state regs= stack=:",