Request to confirm Formula for Log Regression loss

Folks - Pretty new to PyTorch . I am trying to write a logistic regression loss using PyTorch.
Math Formula:

Is the below implementation for the second math formula for Log Reg Correct ?

class Regress_Loss(nn.modules.Module):    
def __init__(self):

def forward(self, outputs, labels):
    batch_size = outputs.size()[0]
    mult = Variable((outputs*labels), requires_grad=True)
    loss = torch.sum(torch.log(1 + torch.exp(-mult)))
    return loss/batch_size

Thanks in advanceā€¦