_func_to_jt_struct = Dict(
    (+) => Add, 
    (-) => Sub, 
    (*) => Mul,
    (/) => Div,
    (^) => Pow,
    (sin) => Sin,
    (cos) => Cos,
    (tan) => Tan,
    (log) => Log,
)

julia> x = [1, 2, 3]
3-element Vector{Int64}:
 1
 2
 3

julia> x .^ 2
3-element Vector{Int64}:
 1
 4
 9

julia> using  JITrench
[ Info: Precompiling JITrench [573e55e6-eb53-4bcf-a884-6670806246ed]

julia> Variable([1, 2, 3]) .^ 2
ERROR: MethodError: no method matching length(::Variable)
Closest candidates are:
  length(::Union{Base.KeySet, Base.ValueIterator}) at abstractdict.jl:58
  length(::Union{LinearAlgebra.Adjoint{T, S}, LinearAlgebra.Transpose{T, S}} where {T, S}) at /Users/julia/buildbot/worker/package_macos64/build/usr/share/julia/stdlib/v1.6/LinearAlgebra/src/adjtrans.jl:195
  length(::Union{DataStructures.OrderedRobinDict, DataStructures.RobinDict}) at /Users/yuchi_ymgc/.julia/packages/DataStructures/ixwFs/src/ordered_robin_dict.jl:86
  ...
Stacktrace:
 [1] _similar_for(c::UnitRange{Int64}, #unused#::Type{Any}, itr::Variable, #unused#::Base.HasLength)
   @ Base ./array.jl:575
 [2] _collect(cont::UnitRange{Int64}, itr::Variable, #unused#::Base.HasEltype, isz::Base.HasLength)
   @ Base ./array.jl:608
 [3] collect(itr::Variable)
   @ Base ./array.jl:602
 [4] broadcastable(x::Variable)
   @ Base.Broadcast ./broadcast.jl:682
 [5] broadcasted(f::Function, arg1::Function, arg2::Variable, args::Val{2})
   @ Base.Broadcast ./broadcast.jl:1313
 [6] top-level scope
   @ REPL[5]:1

julia> f() = Variable([1, 2, 3]) .^ 2
f (generic function with 1 method)

julia> @code_lowered f()
CodeInfo(
1 ─ %1 = Base.vect(1, 2, 3)
│   %2 = Main.Variable(%1)
│   %3 = Core.apply_type(Base.Val, 2)
│   %4 = (%3)()
│   %5 = Base.broadcasted(Base.literal_pow, Main.:^, %2, %4)
│   %6 = Base.materialize(%5)
└──      return %6
)