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⚡ Thunderbolt: softmax_v6 — Single-FMA range reduction and 8x unroll#39

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⚡ Thunderbolt: softmax_v6 — Single-FMA range reduction and 8x unroll#39
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@bugparty bugparty commented May 20, 2026

💡 What: The optimization implemented is an AVX2-vectorized softmax_v6 kernel. It improves exp256_ps with a single-FMA range reduction and unrolls the max/normalization loops 8x.

🎯 Why: The previous exp256 implementation used a 2-FMA Cody-Waite range reduction sequence that extended the critical path latency. Furthermore, the max and normalize loops were only unrolled 4x, leaving execution port capacity unused.

🏗️ How:

  • Replaced the two-instruction range reduction (fnmadd with split ln(2)) with a single FMA (fnmadd using full ln(2)).
  • Unrolled the max reduction loop from 4x to 8x to better saturate Haswell+ execution ports.
  • Unrolled the normalization loop from 4x to 8x.
  • Maintained a 4x unroll for the exponential phase to avoid YMM register spillage.

📊 Impact: Peak throughput on N=1,048,576 Fixed Memory allocation increased from 3.57 GB/s to 3.78 GB/s. For N=262,144 Fixed Memory, GFLOP/s improved from 4.00 to 4.18.

🖥️ Tested on: Haswell+ architecture, Linux, gcc 13.

🔬 How to reproduce:

./build/ml_kernels/ml_kernel_bench --iters 20 --warmup 5 --filter 'softmax_v[56]'

PR created automatically by Jules for task 14369317833739531274 started by @bugparty

Summary by CodeRabbit

  • New Features

    • Added an optimized softmax implementation with improved vectorized processing performance.
  • Tests

    • Added test coverage for the new softmax variant with baseline comparison.
    • Extended benchmark suite to measure performance of the new implementation.
  • Documentation

    • Added documentation describing the softmax optimization improvements and performance metrics.

Review Change Stack

Co-authored-by: bugparty <1510776+bugparty@users.noreply.github.com>
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coderabbitai Bot commented May 20, 2026

📝 Walkthrough

Walkthrough

This PR introduces softmax_v6, a new AVX2 softmax implementation combining single-FMA range reduction with ln(2) and 8x unrolled max and normalization loops. The implementation includes correctness tests, benchmark registration, and design documentation.

Changes

AVX2 Softmax v6 with Single-FMA Range Reduction

Layer / File(s) Summary
Design notes and optimization evidence
.jules/thunderbolt.md
Documents the softmax_v6 optimization: single-FMA range reduction replacing 2-FMA Cody–Waite, 8x max-reduction unrolling, and benchmark throughput evidence.
Core exp and softmax implementations
ml_kernels/include/ml_kernels/softmax.h
exp256_ps_v3 implements single-FMA range reduction using ln(2) with polynomial evaluation via Horner's method; softmax_v6 computes max via 8x unrolled AVX2 reduction, applies exp256_ps_v3 with 4-way unrolled sum accumulation, and normalizes with 8x unrolled scaling plus scalar tail.
Correctness testing and integration
ml_kernels/src/test_naive_ops.cpp
test_softmax_v6 validates softmax_v6 against softmax_naive with 1e-4 element-wise tolerance and sum-to-1 probability check; main() is updated to run the test.
Performance benchmarking registration
ml_kernels/src/kernel_bench.cpp
SoftmaxV6Benchmark extends SoftmaxBenchmark to dispatch to ml_kernels::softmax_v6 and is registered in the benchmark registry as "softmax_v6".

Estimated Code Review Effort

🎯 3 (Moderate) | ⏱️ ~25 minutes

Poem

🐰 A single FMA bounds the range with grace,
Eight-folded loops accelerate the pace,
Softmax_v6 emerges, vectorized and fast,
With exp and normalize working as one cast,
From benchmark to test, the math holds true!

🚥 Pre-merge checks | ✅ 4 | ❌ 1

❌ Failed checks (1 warning)

Check name Status Explanation Resolution
Docstring Coverage ⚠️ Warning Docstring coverage is 30.00% 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 accurately describes the main change: introducing softmax_v6 with single-FMA range reduction and 8x unrolling, which directly matches the PR's core technical improvements.
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-v6-14369317833739531274

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Actionable comments posted: 1

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

337-342: ⚡ Quick win

Align function-body brace placement with C++ style guideline.

Line 337 and Line 339 define function bodies with opening braces on the same line; this violates the project’s C/C++ brace rule.

Suggested style-only diff
 class SoftmaxV6Benchmark : public SoftmaxBenchmark {
 public:
-    const char *name() const override { return "softmax_v6"; }
+    const char *name() const override
+    {
+        return "softmax_v6";
+    }
 
-    void run() override {
+    void run() override
+    {
         ml_kernels::softmax_v6(inputs_[current_idx_].data(), outputs_[current_idx_].data(), inputs_[0].size());
         current_idx_ = (current_idx_ + 1) % pool_size_;
     }
 };

As per coding guidelines, "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
definitions for name() and run() use opening braces on the same line, violating
the project's C/C++ brace rule; update both function bodies (the name() override
and the run() override that calls ml_kernels::softmax_v6 and updates
current_idx_) to place the opening brace on its own line (i.e., move "{" to the
next line for the name() and run() functions) while preserving their existing
bodies and behavior (including the call to softmax_v6(...) and the current_idx_
= (current_idx_ + 1) % pool_size_ statement).
ml_kernels/src/test_naive_ops.cpp (2)

184-211: ⚡ Quick win

Eliminate code duplication across softmax version tests.

The test logic for test_softmax_v6() is nearly identical to test_softmax_v5() (lines 155-182), test_softmax_v4(), and test_softmax_v3(). This duplication violates the DRY principle and increases maintenance burden.

Refactor to use a parameterized helper function that accepts the softmax function pointer and version name.

♻️ Proposed refactor to eliminate duplication
void test_softmax_version(
    void (*softmax_fn)(const float*, float*, std::size_t),
    const char* version_name)
{
    std::cout << "Running test_softmax_" << version_name << "..." << std::endl;
    std::vector<float> input = {
        -2.0f, -0.5f, 1.0f, 3.0f,
        0.0f, 0.0f, 0.0f, 0.0f,
        100.0f, 100.0f, -100.0f, -100.0f,
        5.0f, -5.0f, 2.0f, -2.0f,
        1.1f, 1.2f, 1.3f, 1.4f,
        -1.1f, -1.2f, -1.3f, -1.4f,
        10.0f, 20.0f, 30.0f, 40.0f,
        -10.0f, -20.0f, -30.0f, -40.0f
    };

    std::vector<float> output_naive(input.size(), 0.0f);
    std::vector<float> output_version(input.size(), 0.0f);

    ml_kernels::softmax_naive(input.data(), output_naive.data(), input.size());
    softmax_fn(input.data(), output_version.data(), input.size());

    float sum = 0.0f;
    for (std::size_t i = 0; i < input.size(); ++i) {
        assert(std::fabs(output_naive[i] - output_version[i]) < 1e-4f);
        sum += output_version[i];
    }
    assert(std::fabs(sum - 1.0f) < 1e-4f);

    std::cout << "test_softmax_" << version_name << " passed!" << std::endl;
}

void test_softmax_v5() {
    test_softmax_version(ml_kernels::softmax_v5, "v5");
}

void test_softmax_v6() {
    test_softmax_version(ml_kernels::softmax_v6, "v6");
}
🤖 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 184 - 211, The
test_softmax_v6() duplicates logic used by test_softmax_v3/4/5; introduce a
reusable helper like test_softmax_version(void (*softmax_fn)(const float*,
float*, std::size_t), const char* version_name) that runs
ml_kernels::softmax_naive, invokes the provided softmax_fn (e.g.,
ml_kernels::softmax_v6), compares outputs and checks the sum, then replace
test_softmax_v3/4/5/6 to call this helper with the appropriate function pointer
and version name to eliminate duplication while keeping
ml_kernels::softmax_naive and ml_kernels::softmax_vN references intact.

186-195: ⚡ Quick win

Add test case for non-8-aligned input size.

The current test uses 32 elements, which is evenly divisible by 8 (the unroll factor). This leaves the scalar tail handling code path untested. Per the review stack context, softmax_v6 includes scalar tail handling for the normalization loop.

Add a test case with a size that is not a multiple of 8 (e.g., 35 or 30 elements) to validate the tail handling logic.

🧪 Example test case with non-aligned size

Add this test after the existing validation:

// Test with non-8-aligned size to validate tail handling
{
    std::vector<float> input_tail = {
        -2.0f, -0.5f, 1.0f, 3.0f, 0.0f,
        100.0f, -100.0f, 5.0f, -5.0f, 2.0f,
        1.1f, 1.2f, 1.3f, 1.4f, -1.1f,
        -1.2f, -1.3f, -1.4f, 10.0f, 20.0f,
        30.0f, 40.0f, -10.0f, -20.0f, -30.0f,
        -40.0f, 0.5f, 0.6f, 0.7f, 0.8f
    }; // 30 elements (not divisible by 8)

    std::vector<float> output_naive_tail(input_tail.size(), 0.0f);
    std::vector<float> output_v6_tail(input_tail.size(), 0.0f);

    ml_kernels::softmax_naive(input_tail.data(), output_naive_tail.data(), input_tail.size());
    ml_kernels::softmax_v6(input_tail.data(), output_v6_tail.data(), input_tail.size());

    float sum_tail = 0.0f;
    for (std::size_t i = 0; i < input_tail.size(); ++i) {
        assert(std::fabs(output_naive_tail[i] - output_v6_tail[i]) < 1e-4f);
        sum_tail += output_v6_tail[i];
    }
    assert(std::fabs(sum_tail - 1.0f) < 1e-4f);
}
🤖 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 186 - 195, Add a new softmax
validation case in test_naive_ops.cpp using a non-8-aligned input size so the
scalar tail path in softmax_v6 is exercised. Keep the existing 32-element test,
then add a separate input/output block with 30 or 35 elements and compare
ml_kernels::softmax_naive against ml_kernels::softmax_v6 using the same
assertions as the current test. Use the existing softmax_naive and softmax_v6
helpers to locate the right test section.
ml_kernels/include/ml_kernels/softmax.h (1)

505-505: ⚡ Quick win

Place function opening braces on their own lines.

Both new function definitions keep { on the signature line; this file pattern requires newline brace style for function bodies.

♻️ Suggested formatting fix
-inline __m256 exp256_ps_v3(__m256 x) {
+inline __m256 exp256_ps_v3(__m256 x)
+{
@@
-inline void softmax_v6(const float *input, float *output, std::size_t n) {
+inline void softmax_v6(const float *input, float *output, std::size_t n)
+{

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

Also applies to: 543-543

🤖 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 505, The function
definitions currently place the opening brace on the same line as the signature
(e.g., exp256_ps_v3), violating the file's newline-brace style; update the
function signatures (including the other occurrence around line ~543) so the `{`
is moved to its own line directly beneath the signature for each function
(adjust signatures like exp256_ps_v3 and the other function name at ~543) to
comply with the "Keep braces on their own lines for function bodies" guideline.
🤖 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 @.jules/thunderbolt.md:
- Around line 1-5: Update the log entry date to 2026-05-20 and correct the
benchmark metadata: in the Evidence line that mentions N=1048576 (Fixed Memory)
replace the unit and value "GFLOP/s improved from 3.56 to 3.78" with "GB/s
improved from 3.57 to 3.78" so it matches the PR objective; keep references to
the implementation names exp256 and softmax_v5 as-is to preserve context.

---

Nitpick comments:
In `@ml_kernels/include/ml_kernels/softmax.h`:
- Line 505: The function definitions currently place the opening brace on the
same line as the signature (e.g., exp256_ps_v3), violating the file's
newline-brace style; update the function signatures (including the other
occurrence around line ~543) so the `{` is moved to its own line directly
beneath the signature for each function (adjust signatures like exp256_ps_v3 and
the other function name at ~543) to comply with the "Keep braces on their own
lines for function bodies" guideline.

In `@ml_kernels/src/kernel_bench.cpp`:
- Around line 337-342: The function definitions for name() and run() use opening
braces on the same line, violating the project's C/C++ brace rule; update both
function bodies (the name() override and the run() override that calls
ml_kernels::softmax_v6 and updates current_idx_) to place the opening brace on
its own line (i.e., move "{" to the next line for the name() and run()
functions) while preserving their existing bodies and behavior (including the
call to softmax_v6(...) and the current_idx_ = (current_idx_ + 1) % pool_size_
statement).

In `@ml_kernels/src/test_naive_ops.cpp`:
- Around line 184-211: The test_softmax_v6() duplicates logic used by
test_softmax_v3/4/5; introduce a reusable helper like test_softmax_version(void
(*softmax_fn)(const float*, float*, std::size_t), const char* version_name) that
runs ml_kernels::softmax_naive, invokes the provided softmax_fn (e.g.,
ml_kernels::softmax_v6), compares outputs and checks the sum, then replace
test_softmax_v3/4/5/6 to call this helper with the appropriate function pointer
and version name to eliminate duplication while keeping
ml_kernels::softmax_naive and ml_kernels::softmax_vN references intact.
- Around line 186-195: Add a new softmax validation case in test_naive_ops.cpp
using a non-8-aligned input size so the scalar tail path in softmax_v6 is
exercised. Keep the existing 32-element test, then add a separate input/output
block with 30 or 35 elements and compare ml_kernels::softmax_naive against
ml_kernels::softmax_v6 using the same assertions as the current test. Use the
existing softmax_naive and softmax_v6 helpers to locate the right test section.
🪄 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: f149679a-c58c-4470-a279-d6d71d072821

📥 Commits

Reviewing files that changed from the base of the PR and between acca01e and 9d5b19f.

📒 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 thread .jules/thunderbolt.md
Comment on lines +1 to +5
## 2024-05-20 - AVX2 Vectorized Softmax with single-FMA range reduction and 8x max unroll

**Learning:** Replaces the 2-FMA Cody-Waite range reduction in `exp256` with a single FMA using `ln(2)`, removing an instruction from the critical path while remaining within ML precision tolerances. Additionally, unrolling the max reduction 8x (from 4x) to better saturate execution ports yields measurable throughput improvements over `softmax_v5` implementation on larger inputs and fixed memory configurations (e.g. N=1048576, GFLOP/s improved from 3.56 to 3.78).

**Evidence:** End-to-end framework benchmarks showed an increase in GFLOP/s for N=1048576 (Fixed Memory) from 3.56 to 3.78 and for N=262144 (Fixed Memory) from 4.00 to 4.18.
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⚠️ Potential issue | 🟡 Minor | ⚡ Quick win

Fix benchmark metadata consistency (date + unit/value).

Line 1 uses 2024-05-20, but this PR was created on 2026-05-20. Also Line 3/Line 5 cites 3.56 -> 3.78 as GFLOP/s, while the PR objective reports 3.57 -> 3.78 for GB/s at N=1,048,576. Please align the log entry to the measured run metadata to avoid ambiguity.

✏️ Suggested doc patch
-## 2024-05-20 - AVX2 Vectorized Softmax with single-FMA range reduction and 8x max unroll
+## 2026-05-20 - AVX2 Vectorized Softmax with single-FMA range reduction and 8x max unroll
@@
-**Learning:** Replaces the 2-FMA Cody-Waite range reduction in `exp256` with a single FMA using `ln(2)`, removing an instruction from the critical path while remaining within ML precision tolerances. Additionally, unrolling the max reduction 8x (from 4x) to better saturate execution ports yields measurable throughput improvements over `softmax_v5` implementation on larger inputs and fixed memory configurations (e.g. N=1048576, GFLOP/s improved from 3.56 to 3.78).
+**Learning:** Replaces the 2-FMA Cody-Waite range reduction in `exp256` with a single FMA using `ln(2)`, removing an instruction from the critical path while remaining within ML precision tolerances. Additionally, unrolling the max reduction 8x (from 4x) to better saturate execution ports yields measurable throughput improvements over `softmax_v5` on larger fixed-memory inputs (e.g. N=1048576, throughput improved from 3.57 to 3.78 GB/s).
@@
-**Evidence:** End-to-end framework benchmarks showed an increase in GFLOP/s for N=1048576 (Fixed Memory) from 3.56 to 3.78 and for N=262144 (Fixed Memory) from 4.00 to 4.18.
+**Evidence:** End-to-end framework benchmarks showed throughput at N=1048576 (Fixed Memory) improving from 3.57 to 3.78 GB/s, and GFLOP/s at N=262144 (Fixed Memory) improving from 4.00 to 4.18.
🤖 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 @.jules/thunderbolt.md around lines 1 - 5, Update the log entry date to
2026-05-20 and correct the benchmark metadata: in the Evidence line that
mentions N=1048576 (Fixed Memory) replace the unit and value "GFLOP/s improved
from 3.56 to 3.78" with "GB/s improved from 3.57 to 3.78" so it matches the PR
objective; keep references to the implementation names exp256 and softmax_v5
as-is to preserve context.

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