We present Arithmetic Program Paths, a novel, efficient way to compress program control-flow traces that reduces program bit traces to less than a fifth of their original size while being fast and memory efficient. In addition, our method supports online, selective tracing and compression of individual conditionals, trading off memory usage and compression rate. We achieve these properties by recording only the directions taken by conditional statements during program execution, and using arithmetic coding for compression. We provide the arithmetic coder with a probability distribution for each conditional that we obtain using branch prediction techniques. We implemented the technique and experimented on several SPEC 2000 programs. Our method matches the compression rate of state-of-the-art tools while being an order of magnitude faster.

Broadcast is an efficient and scalable way of transmitting data to an unlimited number of clients that are listening to a channel. Cyclically broadcasting data over the channel is a basic scheduling technique, which is known as flat scheduling. When multiple channels are available, a data allocation technique is needed to assign data to channels. Partitioning data among channels in an unbalanced way, depending on data popularities, is an allocation technique known as skewed allocation. The problem of data broadcasting over multiple channels is considered, assuming skewed data allocation to channels and flat data scheduling per channel, with the objective of minimizing the average waiting time of the clients. First, several algorithms, based on dynamic programming, are presented which provide optimal solutions for N data items and K channels. Specifically, for data items with uniform lengths, an O(NK log N) time algorithm is proposed, which improves over the previously known O(N/sup 2/K) time algorithm. When K/spl les/4, a simpler O(N log N) time algorithm is exhibited which requires only O(N) time if the data items are sorted. Moreover, for data items with nonuniform lengths, it is shown that the problem is NP-hard when K=2 and strong NP-hard for arbitrary K. In the former case, a pseudopolynomial algorithm is discussed whose time is O(NZ), where Z is the sum of the data lengths. In the latter case, an algorithm is devised with time exponential in the maximum data length, which can optimally solve, in reasonable time, only small instances. For larger instances, a new heuristic is devised which is experimentally tested on some benchmarks whose popularities are characterized by Zipf distributions. Such experimental tests reveal that the new heuristic proposed here always outperforms the best previously known heuristic in terms of solution quality.

Summary form only given. Broadcast is an efficient and scalable way of transmitting data to an unlimited number of clients that are listening to a channel. Cyclically broadcasting data over the channel is a basic scheduling technique, which is known as flat scheduling. When multiple channels are available, partitioning data among channels in an unbalanced way, depending on data popularities, is an allocation technique known as skewed allocation. In this paper, the problem of data broadcasting over multiple channels is considered assuming skewed data allocation to channels and fiat data scheduling per channel, with the objective of minimizing the average waiting time of the clients. Several algorithms, based on dynamic programming, are presented which provide optimal solutions for N data items and K channels. Specifically, for data items with uniform lengths, an O(NKlogN) time algorithm is proposed, which improves over the previously known O(N/sup 2/K) time algorithm. When K /spl les/ 4, faster O(N) time algorithms are exhibited. Moreover, for data items with nonuniform lengths, it is shown that the problem is NP-hard when K = 2, and strong NP-hard for arbitrary K. In the former case, a pseudo-polynomial algorithm is discussed, whose time is O(NZ) where Z is the sum of the data lengths.