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e, neither reading L; the set at k's row as found), keeps its rows and e from the pass (the second k, its find and the cell's read skipped) and adds them at the batch's end round by round as the executor adds and sets (a sum not finite: the executor's fault at its round; a column too narrow widened); a batch reading or setting those cells otherwise gives its rounds back. Recurrence steps one dispatch each. PURE_JIT=0 join 428 to 165 ms (the compiled code 78). module_tier makes sums into cells (seeds 1, 23 alike: 278 batches with them in seed 1); BATCH_SOURCE sums into three cells in turn
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sets it, every set of it x = e of x, numbers, fields, states, the loop's value and locals the block does not set, in no branch's way; its sets planned PLAN_RECUR) runs ahead of the batch round by round as steps decoded once a batch, as the executor computes them (a round's fault gives the batch back), leaving its value at each other read in each lane; the batch's pass skips its sets. matmul's, knapsack's and join's table loops batch: matmul 50 to 46 ms. module_tier makes loops with a recurrence (x1) ahead of appends, sets and sums (seeds 1, 2, 3, 5, 23 alike); RECUR_SOURCE: two updates a round, a division by 0 and a product past the numbers at some round, under work and memory budgets
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appended in a batch's block (to a list the block reads nowhere else, no index into it, no nested loop) is made at the batch's end round by round through the executor's own step: keys there already, the memory budget, its undo log as the executor's; a fault there is the executor's at that round (the event undone: its kind, its instruction and the work so far tell), pure_batch_run's third way out. module_tier's handlers append (e, d) in rounds apart and run under a memory budget too (seeds 1, 2, 3, 5, 23 alike); knapsack's table loop batched (13.8 to 13.7 ms: the appends cost as the executor's)
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same loop: a pass less each), tests of numbers giving four-byte 1s and 0s (a branch's mask as they are), numbers made of four-byte lanes and affine values by loops of their own, the loop's value as numbers made once a batch, no live lanes to make while none broke out or ran out, a small whole count's sum unchecked: PURE_JIT=0 roots 16.8 to 9.1 ms (the compiled code 9.6, C 6.9), matmul 68 to 50
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for every lane together (round t for the lanes with more than t rounds that did not break out; BREAK leaves it lane by lane; its slot as each round sets it), and x = x op e (op +, min, max; x read no other way) is a reduction: each lane's own from op's identity (-0 a sum's), folded in the rounds' order at the batch's end (a sum's lanes of several whole numbers only, below 2^53); nested rounds' work counted for each lane and checked before anything changes; lanes and masks no holder keeps freed between nested rounds. Planned at load: a local read before set in its loop's scope, or not a reduction's, keeps the loop round by round. PURE_JIT=0: roots 130.5 to 16.8 ms, matmul 914.7 to 68.2. module_tier makes nested loops with breaks and reductions (seeds 1, 2, 3, 23: 549 programs alike); NESTED_SOURCE
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(lane forms, locals set before read in every round, ifs, numbers set in items) runs, in the executor, up to 1024 rounds at a time: values uniform, affine or lanes (numbers, or whole numbers in four bytes), branches as masks, cells read by affine rows as strided columns, sets kept to the batch's end and made only when no round reads an earlier round's; a fault, a form it lacks or such a read gives the rounds back to the executor one by one, work counted as written. Planned at load (PURE_BATCH=0: none); the executor of a module without such loops is the same code (run aligned to 64: as many instructions and cycles), with one its own copy. knapsack with PURE_JIT=0: 1,056 to 13.7 ms. module_tier compares batches with the executor alone and makes loops of rounds apart; BATCH_SOURCE: widened columns, -0, a fault mid-batch, rounds reading the last's sets
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