Code crashes Julia

[matthieugomez]

The following code snippet causes my Julia session to exit after a few minutes with the message

[1]    80865 killed     julia
julia  368.59s user 268.91s system 134% cpu 7:53.41 total

Code snippet:

	using Symbolics
	@variables α β ϕ σC σI λC

	# intermediary variables
	λI = 1 - λC
	λK = α * λC + β * λI
	λL = (1 - α) * λC + (1 - β) * λI
	σ = α * λC / λK * σC + β * λI / λK * σI


	d_pI = (α - β) / (1-β) + 1 / (ϕ + σC) * (1 - α) / α * (λK /λC * σ + α * β / (β - 1) * (σI - σC))
	d_rK = d_pI - 1
	d_wC = -α * d_rK / (1 - α)
	d_wI = d_pI + β / (1 - β)
	d_aK = - (1 - α) * σC * (d_rK - d_wC)
	d_bK = - (1 - β) * σI * (d_rK - d_wI)
	d_w  = ((1 - α) * λC / λL) * d_wC + ((1 - β) * λI / λL) * d_wI
	d_C = ϕ * (d_wC - d_w) + α / (1 - α) * d_aK
	d_I = ϕ * (d_wI - d_w) + β / (1 - β) * d_bK

	# check solves the sytem
	simplify(d_I -  (α * λC / λK) * (d_C + d_aK) + (β * λI / λK) * (d_I + d_bK), expand = true)

Machine: Julia 1.12.1 with Symbolics v6.57.0 and macOS 26

[ChrisRackauckas]

simplify must be entering a cycle here. We need to figure out what rules are cycling.