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⚡ Thunderbolt: Softmax AVX2 — FMA exp256 reduction and 8x unrolling#63

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⚡ Thunderbolt: Softmax AVX2 — FMA exp256 reduction and 8x unrolling#63
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@bugparty

@bugparty bugparty commented Jun 25, 2026

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💡 What:
Vectorized AVX2 softmax_v6 kernel using a single FMA for range reduction in exp256 and aggressive 8x loop unrolling.

🎯 Why:
The bottleneck in the previous softmax_v5 was instruction latency from the FMA chains inside the exp256 approximation. _mm256_fnmadd_ps allows reducing $x - n \cdot C1 - n \cdot C2$ to a single FMA instruction $x - n \cdot \ln(2)$. However, an AVX2 4x unroll doesn't issue enough parallel independent multiplication instructions to hide this latency.

🏗️ How:

  1. Added exp256_ps_v3 dropping exactness of $C1,C2$ for a single 0.6931471805599453f constant in a single FMA.
  2. Unrolled the main processing loops (max reduction, exponentiation+summing, normalization) to 8x (64 floats/iteration), maintaining 8 independent YMM accumulators.

📊 Impact:

  • N=1048576 (Fixed memory): 3.74 GFLOP/s -> 4.25 GFLOP/s (~13.6% speedup).

🖥️ Tested on:
x86-64 Linux (GitHub Actions runner CPU / AVX2 capable).

🔬 How to reproduce:
cd build && make -j$(nproc) ml_kernel_bench
DISABLE_CPU_BINDING=1 ./build/ml_kernels/ml_kernel_bench --filter "softmax_v5|softmax_v6"


PR created automatically by Jules for task 14893110260871542577 started by @bugparty

Summary by CodeRabbit

  • New Features

    • Added a faster softmax variant with improved AVX2-based math handling and 8x unrolling.
    • Added a new benchmark entry so the updated softmax can be measured alongside existing variants.
  • Tests

    • Added coverage for the new softmax variant, including larger inputs and tolerance-based output checks.
  • Documentation

    • Added a note describing the optimization and expected performance impact.

- Implement `exp256_ps_v3` combining $x - n \cdot \ln(2)$ into a single `_mm256_fnmadd_ps`.
- Unroll all softmax loops (max, exp/sum, normalize) 8x (64 elements) to saturate execution ports.
- Achieve ~13% throughput increase over `softmax_v5` on large inputs.
- Add `softmax_v6` tests and benchmarks to ensure `1e-4` tolerance is preserved.

Co-authored-by: bugparty <1510776+bugparty@users.noreply.github.com>
@google-labs-jules

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coderabbitai Bot commented Jun 25, 2026

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Review Change Stack

📝 Walkthrough

Walkthrough

Adds exp256_ps_v3, a new 8x-unrolled AVX2 softmax_v6, benchmark registration for that variant, a regression test against softmax_naive, and a markdown note describing the optimization.

Changes

AVX2 softmax v6 path

Layer / File(s) Summary
Exp helper and note
.jules/thunderbolt.md, ml_kernels/include/ml_kernels/softmax.h
Adds exp256_ps_v3 and a markdown note describing the constant-collapsing exp optimization.
softmax kernel and benchmark
ml_kernels/include/ml_kernels/softmax.h, ml_kernels/src/kernel_bench.cpp
Adds softmax_v6 with 8x unrolling and registers SoftmaxV6Benchmark.
Regression test
ml_kernels/src/test_naive_ops.cpp
Adds a softmax_v6 comparison test and runs it from main().

Sequence Diagram(s)

sequenceDiagram
  participant SoftmaxV6Benchmark
  participant softmax_v6
  participant exp256_ps_v3
  SoftmaxV6Benchmark->>softmax_v6: run()
  softmax_v6->>exp256_ps_v3: compute exp(x - max_vec)
  exp256_ps_v3-->>softmax_v6: vector exp values
  softmax_v6-->>SoftmaxV6Benchmark: normalized output
Loading

Estimated code review effort

🎯 4 (Complex) | ⏱️ ~45 minutes

Possibly related PRs

Poem

I hopped through AVX2 lanes so bright,
and softmax_v6 landed just right.
One FMA, then the carrots align,
with benchmark whiskers all a-twinkle fine.
🐇✨

🚥 Pre-merge checks | ✅ 4 | ❌ 1

❌ Failed checks (1 warning)

Check name Status Explanation Resolution
Docstring Coverage ⚠️ Warning Docstring coverage is 25.00% which is insufficient. The required threshold is 80.00%. Write docstrings for the functions missing them to satisfy the coverage threshold.
✅ Passed checks (4 passed)
Check name Status Explanation
Description Check ✅ Passed Check skipped - CodeRabbit’s high-level summary is enabled.
Title check ✅ Passed The title clearly reflects the main change: an AVX2 softmax update with FMA-based exp256 reduction and 8x unrolling.
Linked Issues check ✅ Passed Check skipped because no linked issues were found for this pull request.
Out of Scope Changes check ✅ Passed Check skipped because no linked issues were found for this pull request.

✏️ Tip: You can configure your own custom pre-merge checks in the settings.

✨ Finishing Touches
📝 Generate docstrings
  • Create stacked PR
  • Commit on current branch
🧪 Generate unit tests (beta)
  • Create PR with unit tests
  • Commit unit tests in branch thunderbolt-softmax-8x-fma-14893110260871542577

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Actionable comments posted: 1

🧹 Nitpick comments (2)
ml_kernels/include/ml_kernels/softmax.h (2)

399-399: 📐 Maintainability & Code Quality | 🔵 Trivial | ⚡ Quick win

Match the repo brace style for the new function bodies.

Both new functions open the body on the signature line, but this path requires function braces on their own lines. As per coding guidelines, **/*.{c,cpp,cc,h,hpp}: Keep braces on their own lines for function bodies.

Also applies to: 540-540

🤖 Prompt for AI Agents
Verify each finding against current code. Fix only still-valid issues, skip the
rest with a brief reason, keep changes minimal, and validate.

In `@ml_kernels/include/ml_kernels/softmax.h` at line 399, The new function bodies
do not follow the repository’s brace style: in exp256_ps_v3 and the other added
function at the referenced location, move the opening and closing braces onto
their own lines to match the existing C/C++ header convention. Update the
function signatures so the brace is not on the same line as the declaration,
keeping the body block formatted consistently with the rest of softmax.h.

Source: Coding guidelines


586-621: 🚀 Performance & Scalability | 🔵 Trivial | 🏗️ Heavy lift

Reduce the live YMM set in the 8x hot loops.

Between Lines 587-603 you keep eight sum* accumulators live while also materializing eight x* values and then eight e* values. The normalize loop at Lines 652-668 does the same with o*/m*. That source shape gives the compiler very little room on AVX2’s 16-register YMM file and makes spills likely right on the path this PR is optimizing.

♻️ One way to reuse temporaries per lane
-        __m256 x0 = _mm256_sub_ps(_mm256_loadu_ps(input + i), max_vec);
-        __m256 x1 = _mm256_sub_ps(_mm256_loadu_ps(input + i + 8), max_vec);
-        ...
-        __m256 e0 = exp256_ps_v3(x0);
-        __m256 e1 = exp256_ps_v3(x1);
-        ...
-        _mm256_storeu_ps(output + i, e0);
-        _mm256_storeu_ps(output + i + 8, e1);
-        ...
-        sum0 = _mm256_add_ps(sum0, e0);
-        sum1 = _mm256_add_ps(sum1, e1);
+        __m256 r0 = exp256_ps_v3(_mm256_sub_ps(_mm256_loadu_ps(input + i), max_vec));
+        _mm256_storeu_ps(output + i, r0);
+        sum0 = _mm256_add_ps(sum0, r0);
+
+        __m256 r1 = exp256_ps_v3(_mm256_sub_ps(_mm256_loadu_ps(input + i + 8), max_vec));
+        _mm256_storeu_ps(output + i + 8, r1);
+        sum1 = _mm256_add_ps(sum1, r1);

Also applies to: 651-677

🤖 Prompt for AI Agents
Verify each finding against current code. Fix only still-valid issues, skip the
rest with a brief reason, keep changes minimal, and validate.

In `@ml_kernels/include/ml_kernels/softmax.h` around lines 586 - 621, The 8-wide
AVX2 hot loops in the softmax path are keeping too many YMM values live at once,
which can trigger spills in the compiler. In the exp/sum loop and the normalize
loop in softmax.h, refactor the work in the relevant functions to reuse
temporaries per lane instead of holding all x*/e* or o*/m* vectors alongside
eight sum* accumulators. Keep the same logic, but restructure the accumulation
and store/normalize sequence so fewer registers stay live across the loop body.
🤖 Prompt for all review comments with AI agents
Verify each finding against current code. Fix only still-valid issues, skip the
rest with a brief reason, keep changes minimal, and validate.

Inline comments:
In `@ml_kernels/src/test_naive_ops.cpp`:
- Around line 158-167: The softmax_v6 test fixture is not exercising the scalar
remainder path, so expand the input in the softmax_v6 accuracy test to exceed
the 8x-unrolled body plus vector tail and include a non-multiple-of-8 length;
also vary the logits instead of repeating only positive values so the new
range-reduction behavior is actually stressed. Update the fixture and its
related assertions in the softmax_v6 test block to cover both the vector tail
and scalar remainder using the existing softmax_v6 helper.

---

Nitpick comments:
In `@ml_kernels/include/ml_kernels/softmax.h`:
- Line 399: The new function bodies do not follow the repository’s brace style:
in exp256_ps_v3 and the other added function at the referenced location, move
the opening and closing braces onto their own lines to match the existing C/C++
header convention. Update the function signatures so the brace is not on the
same line as the declaration, keeping the body block formatted consistently with
the rest of softmax.h.
- Around line 586-621: The 8-wide AVX2 hot loops in the softmax path are keeping
too many YMM values live at once, which can trigger spills in the compiler. In
the exp/sum loop and the normalize loop in softmax.h, refactor the work in the
relevant functions to reuse temporaries per lane instead of holding all x*/e* or
o*/m* vectors alongside eight sum* accumulators. Keep the same logic, but
restructure the accumulation and store/normalize sequence so fewer registers
stay live across the loop body.
🪄 Autofix (Beta)

Fix all unresolved CodeRabbit comments on this PR:

  • Push a commit to this branch (recommended)
  • Create a new PR with the fixes

ℹ️ Review info
⚙️ Run configuration

Configuration used: defaults

Review profile: CHILL

Plan: Pro

Run ID: 898c6f5a-97a5-4e1f-8d29-a02273a4ede9

📥 Commits

Reviewing files that changed from the base of the PR and between acca01e and 832a21c.

📒 Files selected for processing (4)
  • .jules/thunderbolt.md
  • ml_kernels/include/ml_kernels/softmax.h
  • ml_kernels/src/kernel_bench.cpp
  • ml_kernels/src/test_naive_ops.cpp

Comment on lines +158 to +167
// ensure n > 64 to test 8x unroll + remainder
std::vector<float> input = {
1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0, 9.0, 10.0,
1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0, 9.0, 10.0,
1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0, 9.0, 10.0,
1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0, 9.0, 10.0,
1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0, 9.0, 10.0,
1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0, 9.0, 10.0,
1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0, 9.0, 10.0,
1.0, 2.0

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🎯 Functional Correctness | 🟡 Minor | ⚡ Quick win

Broaden this fixture before treating it as the v6 accuracy gate.

Line 158 says this covers the 8x path plus remainder, but input.size() is 72, so softmax_v6 only exercises the 64-wide body and one 8-wide vector tail. The scalar remainder path never runs, and the all-positive repeated logits do not stress the single-constant range reduction this PR introduced.

💡 Minimal coverage bump
-    // ensure n > 64 to test 8x unroll + remainder
+    // cover the 64-wide body, the 8-wide vector tail, and a scalar tail
     std::vector<float> input = {
-        1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0, 9.0, 10.0,
+        1.0f, 2.0f, 3.0f, 4.0f, 5.0f, 6.0f, 7.0f, 8.0f, 9.0f, 10.0f,
         ...
-        1.0, 2.0
+        1.0f, 2.0f, -80.0f
     };

Also applies to: 175-180

🤖 Prompt for AI Agents
Verify each finding against current code. Fix only still-valid issues, skip the
rest with a brief reason, keep changes minimal, and validate.

In `@ml_kernels/src/test_naive_ops.cpp` around lines 158 - 167, The softmax_v6
test fixture is not exercising the scalar remainder path, so expand the input in
the softmax_v6 accuracy test to exceed the 8x-unrolled body plus vector tail and
include a non-multiple-of-8 length; also vary the logits instead of repeating
only positive values so the new range-reduction behavior is actually stressed.
Update the fixture and its related assertions in the softmax_v6 test block to
cover both the vector tail and scalar remainder using the existing softmax_v6
helper.

- Implement `exp256_ps_v3` combining $x - n \cdot \ln(2)$ into a single `_mm256_fnmadd_ps`.
- Unroll all softmax loops (max, exp/sum, normalize) 8x (64 elements) to saturate execution ports.
- Achieve ~13% throughput increase over `softmax_v5` on large inputs.
- Add `softmax_v6` tests and benchmarks to ensure `1e-4` tolerance is preserved.

Co-authored-by: bugparty <1510776+bugparty@users.noreply.github.com>
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