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⚡ Thunderbolt: Softmax — 8x Unroll Max and Norm Phases#44

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⚡ Thunderbolt: Softmax — 8x Unroll Max and Norm Phases#44
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thunderbolt-softmax-v6-478666488249728123

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@bugparty bugparty commented May 29, 2026

This PR introduces softmax_v6, heavily optimizing softmax_v5 via differentiated loop unrolling strategies in AVX2.

💡 What:
Separates the unroll factors of the softmax phases. The max reduction and normalization phases are now unrolled 8x (64 elements/iteration). The exponential calculation remains unrolled at 4x (32 elements/iteration).

🎯 Why:
Simple pointwise phases like max and division/normalization scale perfectly to 8x unrolling because they have extremely short dependency chains and low register pressure, effectively saturating Execution Ports. Conversely, unrolling the complex FMA chains within the exp256 polynomial evaluation to 8x forces YMM register spilling and drastically reduces throughput.

🏗️ How:

  • Implemented an 8x unrolled loop in the max-finding phase utilizing 8 parallel accumulators (max0 through max7).
  • Implemented an 8x unrolled loop in the normalization phase.
  • Left the FMA-heavy exp evaluation at a 4x unroll.
  • Registered the new kernel as SoftmaxV6Benchmark.
  • Expanded test bounds in test_naive_ops.cpp to >64 elements to explicitly verify correctness of both the 8x primary blocks and the scalar remainder loops.

📊 Impact:
Microbenchmarks demonstrated fixed-memory GFLOP/s increasing from 3.89 to 4.16 (+6.9%) over softmax_v5 on large 1M element inputs.

🖥️ Tested on:
Haswell+ architecture AVX2 nodes using GCC 13.

🔬 How to reproduce:

make -j$(nproc) ml_kernel_bench
DISABLE_CPU_BINDING=1 ./build/ml_kernels/ml_kernel_bench --filter softmax

PR created automatically by Jules for task 478666488249728123 started by @bugparty

Summary by CodeRabbit

  • Refactor

    • Introduced an optimized softmax implementation variant with improved computational efficiency.
  • Tests

    • Added comprehensive test coverage for the new softmax variant.
  • Documentation

    • Added strategy notes documenting the softmax optimization approach.

Review Change Stack

This commit introduces `softmax_v6`, heavily optimizing `softmax_v5` via differentiated loop unrolling strategies in AVX2.

💡 **What:**
Separates the unroll factors of the softmax phases. The max reduction and normalization phases are now unrolled 8x (64 elements/iteration). The exponential calculation remains unrolled at 4x (32 elements/iteration).

🎯 **Why:**
Simple pointwise phases like max and division/normalization scale perfectly to 8x unrolling because they have extremely short dependency chains and low register pressure, effectively saturating Execution Ports. Conversely, unrolling the complex FMA chains within the `exp256` polynomial evaluation to 8x forces YMM register spilling and drastically reduces throughput.

🏗️ **How:**
- Implemented an 8x unrolled loop in the max-finding phase utilizing 8 parallel accumulators (`max0` through `max7`).
- Implemented an 8x unrolled loop in the normalization phase.
- Left the FMA-heavy `exp` evaluation at a 4x unroll.
- Registered the new kernel as `SoftmaxV6Benchmark`.
- Expanded test bounds in `test_naive_ops.cpp` to >64 elements to explicitly verify correctness of both the 8x primary blocks and the scalar remainder loops.

📊 **Impact:**
Microbenchmarks demonstrated fixed-memory GFLOP/s increasing from 3.89 to 4.16 (+6.9%) over `softmax_v5` on large 1M element inputs.

🖥️ **Tested on:**
Haswell+ architecture AVX2 nodes using GCC 13.

🔬 **How to reproduce:**
```bash
make -j$(nproc) ml_kernel_bench
DISABLE_CPU_BINDING=1 ./build/ml_kernels/ml_kernel_bench --filter softmax
```

Co-authored-by: bugparty <1510776+bugparty@users.noreply.github.com>
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coderabbitai Bot commented May 29, 2026

📝 Walkthrough

Walkthrough

This PR adds softmax_v6, a new AVX2 softmax variant that uses 8x SIMD unrolling for the max-reduction and normalization phases while constraining exponential evaluation to 4x unrolling to avoid register spilling. The implementation is documented, tested against the reference implementation, and integrated into the benchmark harness.

Changes

AVX2 Softmax v6 Implementation and Validation

Layer / File(s) Summary
Implementation strategy note
.jules/thunderbolt.md
Captures the design rationale: 8x unrolling for max and norm phases with 4x constraint on exp phase to preserve throughput and avoid register pressure.
Softmax v6 core implementation
ml_kernels/include/ml_kernels/softmax.h
Max-reduction phase processes 64 elements per iteration using 8 SIMD accumulators; exp-sum phase uses exp256_ps_v2 in 32-element blocks and accumulates partial sums; normalization phase applies 8-way unrolled SIMD multiplication with scalar tails. Early returns on zero input or zero sum.
Test validation
ml_kernels/src/test_naive_ops.cpp
test_softmax_v6() validates element-wise correctness against softmax_naive within 1e-4 tolerance, integrated into main() after existing softmax tests.
Benchmark harness integration
ml_kernels/src/kernel_bench.cpp
SoftmaxV6Benchmark derives from SoftmaxBenchmark, overrides run() to call softmax_v6, and is registered in the benchmark registry for performance measurement.

Estimated Code Review Effort

🎯 3 (Moderate) | ⏱️ ~25 minutes

Possibly Related PRs

  • bugparty/cpu_math_kernels_pri#31: Both PRs advance AVX2 softmax; the main PR's softmax_v6 uses exp256_ps_v2, which was introduced/optimized in the retrieved PR.
  • bugparty/cpu_math_kernels_pri#7: Both PRs extend test coverage for ml_kernels::softmax_naive, the main PR using it as a reference validation target for softmax_v6.

Poem

🐰 Eight vectors leap in perfect stride,
Max and norm with unroll pride,
Four keep exp from spilling wide,
Tests confirm the kernel's guide! ✨

🚥 Pre-merge checks | ✅ 4 | ❌ 1

❌ Failed checks (1 warning)

Check name Status Explanation Resolution
Docstring Coverage ⚠️ Warning Docstring coverage is 33.33% 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 directly references the main optimization: 8x unrolling for max and normalization phases in softmax_v6, which is the core focus of the PR.
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-v6-478666488249728123

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Actionable comments posted: 1

🧹 Nitpick comments (4)
ml_kernels/src/test_naive_ops.cpp (1)

185-185: ⚡ Quick win

Move the function-body opening brace onto its own line.

The new test uses same-line brace placement, which is out of repo style for C/C++ function bodies.

As per coding guidelines, **/*.{c,cpp,cc,h,hpp}: Keep braces on their own lines for function bodies.

🤖 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` at line 185, The function definition for
test_softmax_v6 currently places the opening brace on the same line; change it
so the opening brace is on its own line to match repo C/C++ style (i.e., convert
"void test_softmax_v6() {" to "void test_softmax_v6()\n{"). Update the function
declaration for test_softmax_v6 accordingly, ensuring the rest of the function
body remains unchanged.
ml_kernels/src/kernel_bench.cpp (1)

337-342: ⚡ Quick win

Move the function-body opening braces onto their own lines.

The new benchmark methods use same-line brace placement, which is out of repo style for C/C++ function bodies.

As per coding guidelines, **/*.{c,cpp,cc,h,hpp}: Keep braces on their own lines for function bodies.

🤖 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/kernel_bench.cpp` around lines 337 - 342, The function bodies
for the methods name() and run() use same-line opening braces and must follow
the repo C/C++ style of putting the opening brace on its own line; update the
methods (the name() override returning "softmax_v6" and the run() override that
calls ml_kernels::softmax_v6 and updates current_idx_) so the brace for each
function is moved to its own line before the body, preserving existing function
signatures and bodies exactly.
ml_kernels/include/ml_kernels/softmax.h (2)

597-623: ⚡ Quick win

Reuse the loaded YMM registers in the 8x normalization loop.

This hot loop creates o0..o7 and then another full set of m0..m7. Reusing o0..o7 avoids extra register pressure in the exact path this PR is trying to speed up.

♻️ Suggested simplification
-        __m256 m0 = _mm256_mul_ps(o0, inv_sum_v);
-        __m256 m1 = _mm256_mul_ps(o1, inv_sum_v);
-        __m256 m2 = _mm256_mul_ps(o2, inv_sum_v);
-        __m256 m3 = _mm256_mul_ps(o3, inv_sum_v);
-        __m256 m4 = _mm256_mul_ps(o4, inv_sum_v);
-        __m256 m5 = _mm256_mul_ps(o5, inv_sum_v);
-        __m256 m6 = _mm256_mul_ps(o6, inv_sum_v);
-        __m256 m7 = _mm256_mul_ps(o7, inv_sum_v);
-
-        _mm256_storeu_ps(output + i, m0);
-        _mm256_storeu_ps(output + i + 8, m1);
-        _mm256_storeu_ps(output + i + 16, m2);
-        _mm256_storeu_ps(output + i + 24, m3);
-        _mm256_storeu_ps(output + i + 32, m4);
-        _mm256_storeu_ps(output + i + 40, m5);
-        _mm256_storeu_ps(output + i + 48, m6);
-        _mm256_storeu_ps(output + i + 56, m7);
+        o0 = _mm256_mul_ps(o0, inv_sum_v);
+        o1 = _mm256_mul_ps(o1, inv_sum_v);
+        o2 = _mm256_mul_ps(o2, inv_sum_v);
+        o3 = _mm256_mul_ps(o3, inv_sum_v);
+        o4 = _mm256_mul_ps(o4, inv_sum_v);
+        o5 = _mm256_mul_ps(o5, inv_sum_v);
+        o6 = _mm256_mul_ps(o6, inv_sum_v);
+        o7 = _mm256_mul_ps(o7, inv_sum_v);
+
+        _mm256_storeu_ps(output + i, o0);
+        _mm256_storeu_ps(output + i + 8, o1);
+        _mm256_storeu_ps(output + i + 16, o2);
+        _mm256_storeu_ps(output + i + 24, o3);
+        _mm256_storeu_ps(output + i + 32, o4);
+        _mm256_storeu_ps(output + i + 40, o5);
+        _mm256_storeu_ps(output + i + 48, o6);
+        _mm256_storeu_ps(output + i + 56, o7);
🤖 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 597 - 623, The 8x
normalization loop in the softmax code creates both o0..o7 (loaded YMM
registers) and m0..m7 (results), which is unnecessary and increases register
pressure; instead perform the multiply in-place by reusing/overwriting the
loaded registers (e.g., replace m0 = _mm256_mul_ps(o0, inv_sum_v) with o0 =
_mm256_mul_ps(o0, inv_sum_v) and similarly for o1..o7) and then store o0..o7
back to output; update the stores to write the reused registers so the loop uses
only the original o* variables and removes m* temporaries.

509-509: ⚡ Quick win

Move the function-body opening brace onto its own line.

The new function uses same-line brace placement, which is out of repo style for C/C++ function bodies.

As per coding guidelines, **/*.{c,cpp,cc,h,hpp}: Keep braces on their own lines for function bodies.

🤖 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 509, The function softmax_v6
currently places the opening brace on the same line as the signature; change it
to place the opening brace on its own line to match repo C/C++ style (i.e.,
transform "inline void softmax_v6(const float *input, float *output, std::size_t
n) {" into a two-line form with the brace on the next line) so the function body
conforms with the repository's brace placement rule for functions.
🤖 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 207-210: The test code uses std::exit(1) but doesn't include the
proper header; add the missing include for <cstdlib> at the top of the file so
std::exit is declared (avoid relying on transitive includes). Locate the use of
std::exit in the mismatch check loop (where output_ref and output_v6 are
compared) and add the include directive for <cstdlib> near other standard
headers so the compilation is robust and portable.

---

Nitpick comments:
In `@ml_kernels/include/ml_kernels/softmax.h`:
- Around line 597-623: The 8x normalization loop in the softmax code creates
both o0..o7 (loaded YMM registers) and m0..m7 (results), which is unnecessary
and increases register pressure; instead perform the multiply in-place by
reusing/overwriting the loaded registers (e.g., replace m0 = _mm256_mul_ps(o0,
inv_sum_v) with o0 = _mm256_mul_ps(o0, inv_sum_v) and similarly for o1..o7) and
then store o0..o7 back to output; update the stores to write the reused
registers so the loop uses only the original o* variables and removes m*
temporaries.
- Line 509: The function softmax_v6 currently places the opening brace on the
same line as the signature; change it to place the opening brace on its own line
to match repo C/C++ style (i.e., transform "inline void softmax_v6(const float
*input, float *output, std::size_t n) {" into a two-line form with the brace on
the next line) so the function body conforms with the repository's brace
placement rule for functions.

In `@ml_kernels/src/kernel_bench.cpp`:
- Around line 337-342: The function bodies for the methods name() and run() use
same-line opening braces and must follow the repo C/C++ style of putting the
opening brace on its own line; update the methods (the name() override returning
"softmax_v6" and the run() override that calls ml_kernels::softmax_v6 and
updates current_idx_) so the brace for each function is moved to its own line
before the body, preserving existing function signatures and bodies exactly.

In `@ml_kernels/src/test_naive_ops.cpp`:
- Line 185: The function definition for test_softmax_v6 currently places the
opening brace on the same line; change it so the opening brace is on its own
line to match repo C/C++ style (i.e., convert "void test_softmax_v6() {" to
"void test_softmax_v6()\n{"). Update the function declaration for
test_softmax_v6 accordingly, ensuring the rest of the function body remains
unchanged.
🪄 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: 1860f408-b85a-4cb0-8909-cef4f05116cd

📥 Commits

Reviewing files that changed from the base of the PR and between acca01e and 057a5f9.

📒 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 +207 to +210
for (size_t i = 0; i < input.size(); ++i) {
if (std::abs(output_ref[i] - output_v6[i]) > 1e-4) {
std::cerr << "Mismatch at index " << i << ": expected " << output_ref[i] << ", got " << output_v6[i] << std::endl;
std::exit(1);
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⚠️ Potential issue | 🟡 Minor | ⚡ Quick win

🧩 Analysis chain

🏁 Script executed:

#!/bin/bash
set -euo pipefail

file="$(fd -p 'test_naive_ops.cpp' | head -n1)"
echo "Inspecting ${file}"
rg -n 'std::exit|`#include` <cstdlib>' "${file}"

Repository: bugparty/cpu_math_kernels_pri

Length of output: 148


Include <cstdlib> for std::exit.

ml_kernels/src/test_naive_ops.cpp calls std::exit(1) (line 210) but doesn’t include <cstdlib>, relying on transitive includes that aren’t guaranteed to provide std::exit.

🛠️ Minimal fix
 `#include` <cassert>
+#include <cstdlib>
 `#include` <iostream>
🤖 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 207 - 210, The test code uses
std::exit(1) but doesn't include the proper header; add the missing include for
<cstdlib> at the top of the file so std::exit is declared (avoid relying on
transitive includes). Locate the use of std::exit in the mismatch check loop
(where output_ref and output_v6 are compared) and add the include directive for
<cstdlib> near other standard headers so the compilation is robust and portable.

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