Function batched_outer_product_into 

pub fn batched_outer_product_into<D, A, B, OpA, OpB>(
    dest: &mut StridedViewMut<'_, D>,
    lhs: &StridedView<'_, A, OpA>,
    rhs: &StridedView<'_, B, OpB>,
    lhs_free_ndim: usize,
    rhs_free_ndim: usize,
) -> Result<()>
where
    D: Copy + MaybeSendSync + 'static,
    A: Copy + MaybeSendSync + Mul<B, Output = D> + 'static,
    B: Copy + MaybeSendSync + 'static,
    OpA: ElementOp<A>,
    OpB: ElementOp<B>,

Compute dest[lhs_free..., rhs_free..., batch...] = lhs[lhs_free..., batch...] * rhs[rhs_free..., batch...].

This is a semantic convenience wrapper over broadcast_mul_into. The broadcast/mul planner owns kernel selection, so explicit outer-product calls and equivalent broadcasted multiplication use the same implementation path.