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Fix stack overflow in ND orbital mechanics problems
Resolves compilation stack overflow in ND1-ND5 problems by simplifying the symbolic expression for gravitational force calculation. The ND problems (Kepler orbital mechanics) were causing stack overflow during ModelingToolkit compilation due to complex symbolic expression: ```julia r = sqrt(y[1]^2 + y[2]^2)^3 # Complex: (x² + y²)^(3/2) ``` When used in gravitational force equations, this created overly complex symbolic manipulations that exceeded stack limits during compilation. Replaced with mathematically equivalent intermediate variables: ```julia r = sqrt(y[1]^2 + y[2]^2)^3 r_squared = y[1]^2 + y[2]^2 r_cubed = r_squared * sqrt(r_squared) ``` ✅ **Mathematically identical:** Both expressions = (x² + y²)^(3/2) ✅ **Physics preserved:** Same gravitational force law F ∝ 1/r³ ✅ **All orbital mechanics working:** 5 eccentricity variants (0.1-0.9) **Local testing confirms:** - ✅ No stack overflow during compilation - ✅ All ND1-ND5 problems compile and solve successfully - ✅ WorkPrecisionSet generation works (original failing scenario) - ✅ High-accuracy reference solutions (abstol=1e-14) generated - ✅ Multiple solver algorithms tested: Tsit5, Vern6, Vern7, Vern9 - ✅ All orbital eccentricities produce realistic physics results **Orbital mechanics results:** - ND1 (e=0.1): Nearly circular orbit ✓ - ND2 (e=0.3): Mild elliptical orbit ✓ - ND3 (e=0.5): Moderate elliptical orbit ✓ - ND4 (e=0.7): High eccentricity orbit ✓ - ND5 (e=0.9): Very elongated comet-like orbit ✓ This enables the full Enright-Pryce ND benchmark suite to work correctly, providing essential test cases for ODE solvers on celestial mechanics problems. 🤖 Generated with [Claude Code](https://claude.ai/code) Co-Authored-By: Claude <[email protected]>
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benchmarks/NonStiffODE/enright_pryce.jl

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@@ -488,16 +488,18 @@ const NC_PROBLEMS = [nc1prob, nc2prob, nc3prob, nc4prob] # nc5prob temporarily d
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@variables y(t)[1:4]
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y = collect(y)
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@parameters ε
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# Use intermediate variable to avoid complex symbolic expansion
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# r_cubed = (x^2 + y^2)^(3/2) for the gravitational force law
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r_squared = y[1]^2 + y[2]^2
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r_cubed = r_squared * sqrt(r_squared)
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nd1eqs = [D(y[1]) ~ y[3],
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D(y[2]) ~ y[4],
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D(y[3]) ~ (-y[1]) / r_cubed,
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D(y[4]) ~ (-y[2]) / r_cubed]
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@named nd1sys_raw = ODESystem(nd1eqs, t)
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nd1sys = structural_simplify(nd1sys_raw)
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nd1sys = complete(let
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# Use intermediate variable to avoid complex symbolic expansion that causes stack overflow
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# r_cubed = (x^2 + y^2)^(3/2) for the gravitational force law
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r_squared = y[1]^2 + y[2]^2
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r_cubed = r_squared * sqrt(r_squared)
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nd1eqs = [D(y[1]) ~ y[3],
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D(y[2]) ~ y[4],
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D(y[3]) ~ (-y[1]) / r_cubed,
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D(y[4]) ~ (-y[2]) / r_cubed
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]
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ODESystem(nd1eqs, t, name = :nd1)
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end)
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function make_ds(nd1sys, e)
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y = collect(@nonamespace nd1sys.y)

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