diff --git a/runtime/gfx_shader.c b/runtime/gfx_shader.c
index 1653b3b7..77be1d9f 100644
--- a/runtime/gfx_shader.c
+++ b/runtime/gfx_shader.c
@@ -1527,6 +1527,11 @@ static size_t build_request(char *o0, const char *hex, const char *stage, const
         memcpy(&magic0, control, 4);
         if (!shared && magic0 == 0x98761234u && !strcmp(stage, "cs")) memcpy(&shared, control + 0x64, 4);
         o += sprintf(o, "},\"shared\":%u", shared);
+        // Their local memory, bytes a thread, follows at +0x68. Without it the translator declares its 0x1000-byte
+        // default: one compute program of the game needs 4,752 bytes a thread and indexed past the end of its array.
+        uint32_t local = 0;
+        if (magic0 == 0x98761234u && !strcmp(stage, "cs")) memcpy(&local, control + 0x68, 4);
+        if (local && local <= (1u << 20)) o += sprintf(o, ",\"local_mem\":%u", local);
     }
     if (!strcmp(stage, "cs")) {
         uint32_t l[3] = {1, 1, 1};
diff --git a/tools/xlate/AmpereLowering.cs b/tools/xlate/AmpereLowering.cs
index 9d0bc383..864843d2 100644
--- a/tools/xlate/AmpereLowering.cs
+++ b/tools/xlate/AmpereLowering.cs
@@ -2536,7 +2536,10 @@ static class AmpereLowering
     // localBytes: the local memory size the lowered program needs when that changed (spill mode), else 0. Graphics
     // programs carry it in their header already; compute and task/mesh programs need it from the translator's host
     // (job "local_mem").
-    public static byte[] Lower(byte[] code, int size, bool graphics, out int localBytes, int[] table = null, MeshInfo mesh = null)
+    // computeLocal: a compute program's own local memory in bytes, where its spill area starts (0: the translator's
+    // compute default of 0x1000).
+    public static byte[] Lower(byte[] code, int size, bool graphics, out int localBytes, int[] table = null, MeshInfo mesh = null,
+                               int computeLocal = 0)
     {
         localBytes = 0;
         int header = graphics || mesh != null ? 0x80 : 0;
@@ -2555,9 +2558,9 @@ static class AmpereLowering
         try { lowered = new Lowerer(insns, sph, !graphics, table, mesh) { C1 = C1Bytes }.Run(out branches, out first); }
         catch (RegisterPressureException)
         {
-            // Local memory after the program's own: the header's sizes (translator: low + high + CRS / 32), or the
-            // translator's compute default (0x1000) for compute programs.
-            spillAt = 0x1000;
+            // Local memory after the program's own: the header's sizes (translator: low + high + CRS / 32), or for a
+            // compute program its own size (computeLocal), the translator's compute default (0x1000) when not given.
+            spillAt = computeLocal > 0 ? computeLocal : 0x1000;
             if (header != 0)
                 spillAt = ((int)(BitConverter.ToUInt32(code, 4) & 0xffffff) + (int)(BitConverter.ToUInt32(code, 8) & 0xffffff)
                            + (int)(BitConverter.ToUInt32(code, 12) & 0xffffff) / 32 + 15) & ~15;
diff --git a/tools/xlate/Program.cs b/tools/xlate/Program.cs
index 840078e6..8360dc9e 100644
--- a/tools/xlate/Program.cs
+++ b/tools/xlate/Program.cs
@@ -199,8 +199,13 @@ static class SwshXlate
                     }
                     else
                     {
-                        code = AmpereLowering.Lower(code, size, (string)job["stage"] != "cs", out int local, table);
+                        // A compute program's own local memory: "local_mem" from its control section, at least the
+                        // translator's default of 0x1000 bytes; the lowering's spill area goes after it.
+                        bool cs = (string)job["stage"] == "cs";
+                        int own = cs ? (Math.Max(job["local_mem"] is JsonNode lm ? (int)lm : 0, 0x1000) + 15) & ~15 : 0;
+                        code = AmpereLowering.Lower(code, size, !cs, out int local, table, null, own);
                         if (local != 0) job["local_mem"] = local;
+                        else if (cs) job["local_mem"] = own;
                     }
                     if (job["lowered_out"] is JsonNode lo) File.WriteAllBytes((string)lo, code);
                 }