A single entry point with n stacked control-flow blocks — nested if/else, a bounded inner loop with break/continue, and a switch — all mutating a small set of carried locals (a, b, c, d). Re-assigning the same locals across many branches and loop back-edges is what forces SSA construction to insert phi nodes and what the CFG simplifier (constructSSA, inside simplifyIR) must chew through. Isolates the SSA/CFG axis that complexity_ladder only touches as one of several mixed dimensions; nothing else stresses it alone. Scales by breadth = number of control-flow blocks, so basic-block and phi counts grow with n. Scaling null: n scales control-flow blocks; ideal SSA construction is near-linear in block count.
bucket: control_flow · 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× |
|---|---|---|---|---|---|---|
| 60–480 | 10 | 1.44 | 0.997 | 93 | 1647 | 2.94× |
compileInner grows by 1555 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=60 | t@N=480 | Δ ms | share | × lin | ∝Nk |
|---|---|---|---|---|---|---|
| generateOutput (self) | 31 | 623 | +593 | 38% | 2.21× | 1.49 |
| linkAndOptimizeIR (self) | 13 | 533 | +520 | 33% | 3.49× | 1.80 |
| generateIR | 12 | 157 | +146 | 9% | 1.86× | 1.31 |
| simplifyIR | 12 | 119 | +107 | 7% | 1.19× | 1.11 |
| performMandatoryEarlyInlining | 1 | 81 | +80 | 5% | 6.30× | 2.03 |
Also growing (below top-5): SemanticChecking (+61 ms, 4%).
Near-constant (≤2% of growth each): specializeModule (2→20 ms), legalizeExistentialTypeLayout (1→11 ms), legalizeResourceTypes (1→11 ms), linkIR (1→5 ms), parseTranslationUnit (1→5 ms), performForceInlining (0→2 ms), compileInner (self) (1→2 ms), unrollLoopsInModule (0→1 ms), frontEndExecute (self) (0→0 ms).
| N | compileInner | simplifyIR | frontEndExecute |
|---|---|---|---|
| 60 | 93 | 12 | 29 |
| 120 | 206 | 25 | 48 |
| 240 | 560 | 55 | 100 |
| 480 | 1647 | 119 | 240 |