  We present a new computer program, $\texttt{feyntrop}$, which uses the
tropical geometric approach to evaluate Feynman integrals numerically. In order
to apply this approach in the physical regime, we introduce a new parametric
representation of Feynman integrals that implements the causal $i\varepsilon$
prescription concretely while retaining projective invariance.
$\texttt{feyntrop}$ can efficiently evaluate dimensionally regulated,
quasi-finite Feynman integrals, with not too exceptional kinematics in the
physical regime, with a relatively large number of propagators and with
arbitrarily many kinematic scales. We give a systematic classification of all
relevant kinematic regimes, review the necessary mathematical details of the
tropical Monte Carlo approach, give fast algorithms to evaluate (deformed)
Feynman integrands, describe the usage of $\texttt{feyntrop}$ and discuss many
explicit examples of evaluated Feynman integrals.
