diff --git a/libursa/SortedRun.cpp b/libursa/SortedRun.cpp
index 8881867..bcde0f1 100644
--- a/libursa/SortedRun.cpp
+++ b/libursa/SortedRun.cpp
@@ -6,7 +6,7 @@
 
 #include "Utils.h"
 
-// Read element currently under pos.
+// Read VLE integer stored under pos.
 uint32_t run_read(uint8_t *pos) {
     uint64_t acc = 0;
     uint32_t shift = 0;
@@ -20,7 +20,7 @@ uint32_t run_read(uint8_t *pos) {
     }
 }
 
-// Move pos to the next element.
+// Return a pointer to the next encoded integer.
 uint8_t *run_forward(uint8_t *pos) {
     for (;; pos++) {
         if ((*pos & 0x80) == 0) {
@@ -71,7 +71,8 @@ void IntersectionHelper::step_single() {
     seq_it_++;
 }
 
-// Read 8 bytes under run_it_. If all are small, handle them all.
+// Read 8 bytes under run_it_. If all are small, intersect them all.
+// Returns true if the method can continue, and false if a large int was found.
 bool IntersectionHelper::step_by_8() {
     constexpr int BATCH_SIZE = 8;
     constexpr uint64_t VLE_MASK = 0x8080808080808080UL;
@@ -79,18 +80,22 @@ bool IntersectionHelper::step_by_8() {
     uint64_t *as_qword = (uint64_t *)run_it_;
     uint64_t hit = (*as_qword & VLE_MASK);
     if (hit != 0) {
+        // A large byte (>0x80) was found, handle them in a slow path.
         return false;
     }
 
     uint32_t after_batch = prev_ + BATCH_SIZE;
     after_batch += std::accumulate(run_it_, run_it_ + BATCH_SIZE, 0);
 
+    // Fast-fast path. Maybe we can just add all 8 bytes and still are
+    // below the next sequence byte (i.e. nothing to do in intersection).
     if (after_batch < *seq_it_) {
         run_it_ += BATCH_SIZE;
         prev_ = after_batch;
         return true;
     }
 
+    // Regular batch: like step_single but we know are only dealing with bytes.
     for (uint8_t *end = run_it_ + BATCH_SIZE;
          run_it_ < end && seq_it_ < seq_end_;) {
         uint32_t next = prev_ + *run_it_ + 1;
@@ -109,6 +114,7 @@ bool IntersectionHelper::step_by_8() {
     return true;
 }
 
+// Do the intersection in batches of 8 bytes at once.
 void IntersectionHelper::intersect_by_8() {
     while (run_it_ < run_end_ - 8 && seq_it_ < seq_end_) {
         if (step_by_8()) {
@@ -118,6 +124,8 @@ void IntersectionHelper::intersect_by_8() {
     }
 }
 
+// This function is basically std::set_intersection, but optimized as
+// much as possible (since sometimes almost 50% of time is spent here).
 void IntersectionHelper::intersect() {
     intersect_by_8();
     while (run_it_ < run_end_ && seq_it_ < seq_end_) {