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`is_canonical(::ScalarNonlinearFunction)` is called for every nonlinear
constraint added to a `Utilities.Model`. It was exponential in the depth
of the expression graph when subexpressions are shared, as in a
Runge-Kutta discretization.
Benchmark of `is_canonical` on `f_{k+1} = sin(f_k) * f_k + f_k` with
`f_0 = sin(x)`, whose tree has O(3^n) nodes but whose DAG has O(n) nodes:
| n | master (μs) | master (bytes) | this PR (μs) | this PR (bytes) |
|----|-------------|----------------|--------------|-----------------|
| 1 | 0.0597 | 80 | 0.271 | 352 |
| 4 | 1.59 | 176 | 1.0 | 944 |
| 8 | 131 | 464 | 2.09 | 1376 |
| 12 | 10800 | 464 | 3.81 | 1840 |
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is_canonical(::ScalarNonlinearFunction)is called for every nonlinear constraint added to aUtilities.Model. It was exponential in the depth of the expression graph when subexpressions are shared.Benchmark of
is_canonicalonf_{k+1} = sin(f_k) * f_k + f_kwithf_0 = sin(x), whose tree has O(3^n) nodes but whose DAG has O(n) nodes: