A first command is fetched for execution on a GPU. Dependency information for the first command, which indicates a number of parent commands that the first command depends on, is determined. The first command is inserted into an execution graph based on the dependency information. The execution graph defines an order of execution for plural commands including the first command. The number of parent commands are configured to be executed on the GPU before executing the first command. A wait count for the first command, which indicates the number of parent commands of the first command, is determined based on the execution graph. The first command is inserted into cache memory in response to determining that the wait count for the first command is zero or that each of the number of parent commands the first command depends on has already been inserted into the cache memory.