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Equation 8 · Part 4 · How to Evaluate Codex Beyond SWE-bench and Vendor Scores

Symbol N_tools

Bj=(Ntokens,Nturns,Ntools,twall,Ccompute,kattempts).B_j=(N_{\mathrm{tokens}},N_{\mathrm{turns}},N_{\mathrm{tools}},t_{\mathrm{wall}},C_{\mathrm{compute}},k_{\mathrm{attempts}}).
NtoolsN_{\mathrm{tools}}

What this part means

NtN_tools is an input to the expression that computes the quantity on the left.

Its job in the formula

NtN_tools is an input to the expression that computes the quantity on the left.

The passage around this formula

For system j , report a resource vector Bj=(Ntokens,Nturns,Ntools,twall,Ccompute,kattempts)B_j=(N_{\mathrm{tokens}},N_{\mathrm{turns}},N_{\mathrm{tools}},t_{\mathrm{wall}},C_{\mathrm{compute}},k_{\mathrm{attempts}}). A resolution curve p(B) is more informative than one point. It reveals marginal returns: whether twice the budget buys substantial success, tiny gains, or merely longer trajectories. It also lets organizations choose configurations on a cost-quality frontier.

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Learn the underlying idea

A subscript is a label attached below a symbol. It often selects a time step, component, category, or member of a sequence.

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See this notation across published equations →

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