import torch import torch.nn as nn import torch.onnx import nneq class xor_mlp(nn.Module): def __init__(self, hidden_dim): super().__init__() self.layers = nn.Sequential( nn.Linear(2, hidden_dim), nn.ReLU(), nn.Linear(hidden_dim, 1) ) def forward(self, x): return self.layers(x) def train_model(name: str, dim): X = torch.tensor([[0,0], [0,1], [1,0], [1,1]], dtype=torch.float32) Y = torch.tensor([[0], [1], [1], [0]], dtype=torch.float32) net = xor_mlp(hidden_dim=dim) loss_fn = nn.MSELoss() optimizer = torch.optim.Adam(net.parameters(), lr=0.1) print(f"Training {name}...") for epoch in range(1000): optimizer.zero_grad() out = net(X) loss = loss_fn(out, Y) loss.backward() optimizer.step() if (epoch+1) % 100 == 0: print(f" Epoch {epoch+1}, Loss: {loss.item():.4f}") return net if __name__ == "__main__": torch_net_a = train_model("Network A", 8).eval() torch_net_b = train_model("Network B", 16).eval() onnx_net_a = torch.onnx.export(torch_net_a, (torch.randn(1, 2),), verbose=False).model_proto # type: ignore onnx_net_b = torch.onnx.export(torch_net_b, (torch.randn(1, 2),), verbose=False).model_proto # type: ignore z3_net_a = nneq.net(onnx_net_a) z3_net_b = nneq.net(onnx_net_b) print("") nneq.strict_equivalence(z3_net_a, z3_net_b) print("") nneq.epsilon_equivalence(z3_net_a, z3_net_b, 0.1) print("") nneq.argmax_equivalence(z3_net_a, z3_net_b)