Var = Rc<RefCell<VarNode>> on a define-by-run tape: value + optional grad +
parents + backward closure. backward() seeds a scalar loss, walks reverse
topo order, and pushes grads to parents. push_grad always SUMs into the grad
slot — the fan-out accumulation path T3 lacked. Per-crate build.rs emits the
no_cuda cfg (does not propagate); engine gated, grad_check stays host-only.
Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>
New xtrain-autodiff crate with a reusable central finite-difference
gradient check: grad_check(x, shape, f, analytic_grad, cfg) compares an
analytic gradient against (f(x+ε)-f(x-ε))/2ε per element with a relative
tolerance. Host-only (no CUDA): the loss closure owns any GPU work, so
T4's per-op backward checks can reuse it directly. Includes host unit
tests (sum(x²) grad 2x passes; a wrong grad is rejected).
Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>
