(“cache-based”) Representative system Code optimization strategy Hand-optimize key loops in assembly Fuse loops to amortize latency & maximize instruction-level parallelism Maximize data reuse & minimize (“cache-based”) Representative system Code optimization strategy Hand-optimize key loops in assembly Fuse loops to amortize latency & maximize instruction-level parallelism Maximize data reuse & minimize (“cache-based”) Representative system Code optimization strategy Hand-optimize key loops in assembly Fuse loops to amortize latency & maximize instruction-level parallelism Maximize data reuse & minimize

consumption pattern to automatically fuse computation. 46The Big Idea: Enrich function interfaces with data production and consumption pattern to automatically fuse computation. 47 Only function signatureThe Big Idea: Enrich function interfaces with data production and consumption pattern to automatically fuse computation. 48 Compute independent subsetsFern! 49Fern! 50 manya227 June 2024 Pipeline pipeline({ model complicated dependencies BLUR X BLUR Y INPUT Fuse TilesEnough to model complicated dependencies Overlapping Inputs BLUR X INPUT BLUR Y Fuse TilesEnough to model complicated dependencies Unfused

bubblewrap buildbox-worker WORKER FARM BuildBox-CASD (Local Caching Proxy) BuildBox-Fuse (FUSE filesystem) + Distributed Cache + Distributed Build:© 2024 Bloomberg Finance L.P. All rights

simplifies subterms like 5 + 7 to 12. Using the auxiliary function simp_const, define a function “fuse”: to simplify a plus or a times, first simplify the arguments recursively, and then apply simp_const := e def fuse : aexpr → aexpr := sorry theorem simp_const_eq (v : N → N) : ∀ e : aexpr, aeval v (simp_const e) = aeval v e := sorry theorem fuse_eq (v : N → N) : ∀ e : aexpr, aeval v (fuse e) = aeval

store, – camget, get things from the blob store, – camsync, synchronize blob stores, – cammount, a FUSE filesystem for accessing your data. • two dozen assorted libraries. The Go parts 4 Google Confidential

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 398 43.14More dots: Fuse vectorized operations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 399 43.15Consider the Broadcasted type, allowing for dispatch and specialization. For some types, the machinery to "fuse" operations across nested levels of broadcasting is not available or could be done more efficiently 73659 0.873631 Dotted operators such as .+ and .* are equivalent to broadcast calls (except that they fuse, as described below). There is also a broadcast! function to specify an explicit destination (which

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 380 36.14More dots: Fuse vectorized operations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 381 36.15Consider the Broadcasted type, allowing for dispatch and specialization. For some types, the machinery to "fuse" operations across nested levels of broadcasting is not available or could be done more efficiently 73659 0.873631 Dotted operators such as .+ and .* are equivalent to broadcast calls (except that they fuse, as described above). There is also a broadcast! function to specify an explicit destination (which

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 380 36.14More dots: Fuse vectorized operations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 381 36.15Consider the Broadcasted type, allowing for dispatch and specialization. For some types, the machinery to "fuse" operations across nested levels of broadcasting is not available or could be done more efficiently 73659 0.873631 Dotted operators such as .+ and .* are equivalent to broadcast calls (except that they fuse, as described above). There is also a broadcast! function to specify an explicit destination (which

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 398 43.14More dots: Fuse vectorized operations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 399 43.15Consider the Broadcasted type, allowing for dispatch and specialization. For some types, the machinery to "fuse" operations across nested levels of broadcasting is not available or could be done more efficiently 73659 0.873631 Dotted operators such as .+ and .* are equivalent to broadcast calls (except that they fuse, as described below). There is also a broadcast! function to specify an explicit destination (which

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 398 43.14More dots: Fuse vectorized operations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 399 43.15Consider the Broadcasted type, allowing for dispatch and specialization. For some types, the machinery to "fuse" operations across nested levels of broadcasting is not available or could be done more efficiently 73659 0.873631 Dotted operators such as .+ and .* are equivalent to broadcast calls (except that they fuse, as described below). There is also a broadcast! function to specify an explicit destination (which