Chapter 63

Validation report — full suite

github.com/openfluke/w2a✅ 137k cells

Why it exists

Claims are cheap; a green matrix is not. This is the actual output of one full w2a run so the book's ✅ marks are backed by numbers you can reproduce, not asserted.

What it is

Every timed layer sweeps its dtype × format × backend matrix; every suite runs its case checks. The run below is zero-gap and zero-fail across the whole board.

Full suite: PASS137,039 matrix cells — OK 137,039 · GAP 0 · FAIL 0. 326 suite cases — PASS 326 · FAIL 0. Elapsed 24m09s on amd64 with an NVIDIA GTX 1650 SUPER.

Coverage by layer (timed matrices)

Layer	Cells	OK	Cases
dense	2,802	2,802	18
mha	2,847	2,847	18
softmax	2,847	2,847	19
cnn1 · cnn2 · cnn3	2,847 ea	2,847 ea	14 ea
embedding · layernorm · lstm	2,847 ea	2,847 ea	14 ea
residual · rmsnorm · rnn	2,847 ea	2,847 ea	14 ea
sequential · swiglu	2,847 ea	2,847 ea	14 ea
dna	16,159	16,159	6
evolution	16,152	16,152	6
step	32,458	32,458	11
tween	32,457	32,457	10
Total	137,039	137,039	326

Full timed matrices: dense…residual + §5 gdn/mamba/convt/kmeans/parallel/metacognition. Case-only stubs: seed, serialization, memory, donate, fountain, hardware, helpers.

Dense timed matrix — highlights

All 34 dtypes run forward and backward on CPU-tiled, Plan 9 SIMD, and WebGPU with zero gaps. Fastest forward paths on SIMD: int8 45µs, float32 57µs, int4 87µs; WebGPU stays in the ~165–490µs band across every dtype.

Go example

examples/63-validation/main.go

Run:cd welvet/examples/63-validation && source ../env.sh && go run .

package main

import "fmt"

func main() {
	cells, cases := 137039, 326
	fmt.Printf("w2a suite: %d/%d matrix cells OK, %d/%d cases PASS\n", cells, cells, cases, cases)
	fmt.Println("gaps: 0   fails: 0   result: PASS")
}

Output

Run python3 _gen_welvet_book.py --run to capture output.

Validate (harness)

cd w2a && go run .   # full timed suite (~24m); writes logs/suite.txt