One enormous straight-line function: `n` trivial integer SSA ops, almost no semantic work. Stresses IR instruction construction / dedup / hash-cons and the SSA simplifier (the shared IRBuilder layer the v2026.7 release regressed). Scaling null: n scales straight-line op count; ideal cost is O(n) with amortized-constant hash-consing, so super-linear sweep growth means IR dedup/use-list structures scale worse than the code.
bucket: ir_infra · mode: target · flags: -target spirv -emit-spirv-directly
compileInner split into phase buckets (named leaves + (self) residuals) stacked across the sweep sizes — the top edge is compileInner, so you can see which phase drives the scaling.
floor-subtracted power-law fit (t − floor) = a·Nk; floor = the minimal workload (fixed per-compile cost), k the global exponent, top-2× the local high-end doubling ratio.
| N range | floor (ms) | k (work) | fit R² | t(Nmin) | t(Nmax) | top-2× |
|---|---|---|---|---|---|---|
| 500–4000 | 14 | 1.82 | 0.998 | 44 | 1326 | 3.82× |
compileInner grows by 1282 ms across the sweep; the mutually-exclusive phase buckets below partition that growth exactly (no nested-timer double counting). × lin is the same metric as the top-level panels, per bucket: the end point vs a linear expectation anchored to the bucket's share of the minimal floor and fitted on the low-N half — 1.0 = grew exactly linearly, >1 bends up. The super-linearity lives where × lin (and k) are red.
| bucket | t@N=500 | t@N=4000 | Δ ms | share | × lin | ∝Nk |
|---|---|---|---|---|---|---|
| generateOutput (self) | 10 | 327 | +318 | 25% | 3.79× | 1.82 |
| linkAndOptimizeIR (self) | 7 | 322 | +314 | 25% | 4.07× | 1.90 |
| legalizeExistentialTypeLayout | 6 | 316 | +311 | 24% | 4.38× | 1.93 |
| legalizeResourceTypes | 6 | 312 | +306 | 24% | 4.31× | 1.93 |
Near-constant (≤2% of growth each): SemanticChecking (8→15 ms), simplifyIR (2→11 ms), generateIR (2→8 ms), specializeModule (2→7 ms), compileInner (self) (0→2 ms), linkIR (1→2 ms), parseTranslationUnit (0→2 ms), frontEndExecute (self) (0→0 ms), performForceInlining (0→0 ms), performMandatoryEarlyInlining (0→0 ms), unrollLoopsInModule (0→0 ms).
| N | compileInner | generateIR | simplifyIR |
|---|---|---|---|
| 500 | 44 | 2 | 2 |
| 1000 | 106 | 3 | 3 |
| 2000 | 347 | 4 | 6 |
| 4000 | 1326 | 8 | 11 |