Add AirspeedVelocity benchmarking CI

.github/workflows/benchmark.yml

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+name: Benchmark this PR
+
+on:
+  pull_request:
+    branches: [main]
+    paths-ignore: ['docs/**']
+
+permissions:
+  pull-requests: write
+  contents: read
+
+jobs:
+  benchmark:
+    runs-on: ubuntu-latest
+    timeout-minutes: 60
+    strategy:
+      fail-fast: false
+      matrix:
+        version: ["1", "lts"]
+    env:
+      # Force consistent Julia depot path for self-hosted runners
+      JULIA_DEPOT_PATH: ~/.julia
+    steps:
+      - uses: MilesCranmer/AirspeedVelocity.jl@action-v1
+        with:
+          julia-version: ${{ matrix.version }}
+          script: "benchmark/benchmarks.jl"
+          extra-pkgs: "ModelingToolkit,OrdinaryDiffEq"
+          job-summary: true

benchmark/benchmarks.jl

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+using BenchmarkTools
+using ModelingToolkit
+using ModelingToolkit: t_nounits as t
+using ModelingToolkitStandardLibrary.Electrical
+using ModelingToolkitStandardLibrary.Blocks: Sine
+using OrdinaryDiffEq
+
+const SUITE = BenchmarkGroup()
+
+function rc_circuit()
+    @named source = Sine(offset = 1, amplitude = 10, frequency = 5)
+    @named voltage = Voltage()
+    @named resistor = Resistor(R = 1)
+    @named capacitor = Capacitor(C = 1, v = 0.0)
+    @named ground = Ground()
+    @named voltage_sensor = VoltageSensor()
+    @named current_sensor = CurrentSensor()
+
+    connections = [
+        connect(source.output, voltage.V)
+        connect(voltage.p, resistor.p)
+        connect(resistor.n, current_sensor.p)
+        connect(current_sensor.n, capacitor.p)
+        connect(capacitor.n, voltage.n, ground.g)
+        connect(capacitor.p, voltage_sensor.p)
+        connect(capacitor.n, voltage_sensor.n)
+    ]
+
+    return System(
+        connections, t;
+        systems = [
+            resistor, capacitor, source, voltage, ground,
+            voltage_sensor, current_sensor,
+        ], name = :rc_circuit
+    )
+end
+
+SUITE["rc_circuit"] = BenchmarkGroup()
+SUITE["rc_circuit"]["build"] = @benchmarkable rc_circuit()
+model = rc_circuit()
+SUITE["rc_circuit"]["mtkcompile"] = @benchmarkable mtkcompile($model)
+sys = mtkcompile(model)
+SUITE["rc_circuit"]["odeproblem"] = @benchmarkable ODEProblem($sys, [], (0.0, 10.0))
+prob = ODEProblem(sys, [], (0.0, 10.0))
+SUITE["rc_circuit"]["solve"] = @benchmarkable solve(
+    $prob, Tsit5(); save_everystep = false, abstol = 1.0e-8, reltol = 1.0e-8
+)