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only values each batch: knapsack's per-batch cost measured at 0.90 us, 38% of its 11.5 ms (BATCH 1024 against 256 under a sampled profile: re-reading the block about 39%, value kinds 26%, list facts and dependence 22%, dispatch 14%), sum0's 0.33 us, matmul's inner-round dispatch about 13 ms and float-checked arithmetic about 22; five stages (facts at load, static kinds and list facts once a batch, typed kernels, fewer passes, the tails) with bars from those shares; 041 batch-costs data
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bar on roots (0.71x the compiled code's cycles a step), not on knapsack (4x) or BFS (2.4x), as NEON has no gather and a tile's lanes go out and in one by one; tight passes of the batch executor's own shape in the same run at 1.2x (BFS) and 0.4x (knapsack, clang): the shape is right and the 3x is implementation, so 132's A (a batch program made once at load, loops tight by type, width and stride, fewer passes) is the way; tiles kept aside for chains of arithmetic; 132, 024 and CHECKPOINT say so
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general way over a table of fused operations: values computed by the same code taken from the first, if !c one branch, selections (an arm's few lanes alone), keys as bits asked in one loop, L.first + i affine, a slice's bounds at once: the suite's BFS 211 to 112 instructions an edge, 41 to 24 ms (the compiled code 38.5, 7.7); where the rest goes and the floor of the general way (about twice the compiled code); knapsack and matmul 10% slower, cause not fully told; 024 and CHECKPOINT say so
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batch's rounds together or spread into lanes, filters asked as a batch opens and again at its end): the suite's BFS batched, 93 to 41 ms (the compiled code 7.7, C 10); where it goes (211 instructions an edge against 38.5: a filter's code over every lane the most); the floor of operations each a pass over the lanes (about 50 an edge, 1.3x the compiled code) and what would pass it (fused operations from a table, 024's); the choice left: a table of them, or the compiled code kept for such work; 024 and CHECKPOINT say so
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ms, a recurrence's steps as numbered values and one loop of actions 44.4 to 21.8, reductions' ends in any order where it cannot tell 9.80 to 4.00): knapsack 10.8, matmul 36.4, join 118, sort 55.5 ms without machine code; where each work's time goes now; BFS's arithmetic (a tail of about a tenth of the edges, done batch-side; edges spread into lanes, not walked together) and the three pieces it needs; the view-workers check's flake; 024 and CHECKPOINT say so
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walks (join 423 to 161 ms without machine code, the tier 74) and what a batch pays for, measured apart: an instruction about 20 ns a batch (0.02 ns a round at 1024 lanes), a reduction's end 4-9 ns a round, an append about 100 ns (the executor's), join's recurrence about 60 ns a round; BFS not batched (a count that grows, a filter that only grows, nested walks), so the JIT stays for now; the next in that order: appends at once, the recurrence's steps in registers, reductions' ends; 022 and 024 and CHECKPOINT say so
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stage 2 under ASan and UBSan (139 programs, the executor's output)
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together lane by lane, breaks, reductions folded in the rounds' order) and the measured passes after it (finite checks in the arithmetic's loop, tests as four-byte masks, the loop's value made once): roots 9.13 ms without machine code, below the tier's 9.57; matmul 50 (the tier 14.3: its table's loop and 15 instructions a nested round left); 685 random programs alike; 024 and CHECKPOINT say so
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knapsack 1,041 to 13.6 ms in the executor (the compiled code 7.5; its inner loop 1.17x the tier's, the stage's criterion missed; the table's adds left to stage 4), the executor without batch loops unchanged; what measuring overturned (a call among the steps cost 20% of the instructions, so two copies; run aligned to 64 for its cycles; results apart from operands for vector code); tests; 1024 lanes, 134 KB a thread; 024 and CHECKPOINT say so
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forms (geometric mean 1.58 and 1.24, the tier 1.92), the prototypes as a ceiling (124's floor 0.90x became 1.2-2.5x), division a third of the interpreted recurrence, the distance rule for equal strides only, why not copy-and-patch, matmul's miss without a fused multiply-add; CHECKPOINT says so
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the C compiler makes at build time (no code made at run time, 32 KB of lanes), checks as a batch's flag and a failed batch run again round by round; which loops batch (sums, affine keys at a nonnegative distance, filters that only grow, a count that only grows), sections run round by round interpreted, fused operations from a table, the JIT retired if it is not slower; 041's prototypes against C: roots 0.99, knapsack 0.71, matmul 0.94, BFS 1.03, join 1.59 (the tier 1.20-2.46); CHECKPOINT says so
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