{ "generated": "2026-10-28", "description": "Gas per BL19 op across an input ladder: the object (staticcall), the inline library, the same op in BL127Lib on the same value where it fits, and ABDKMathQuad. null = no measurement on that input; reverts counts, per form, the inputs where the form offers the op but reverted or the input is outside its domain or format; a form with neither gas nor reverts does not offer the op. calls says what each Quad cell calls. summary holds min/median/max per form. The internal forms are the library call alone, timed inside the harness's entry point net of its dispatch. typical (where present) is the same over random inputs that take no shortcut.", "versions": { "bl127": "6c2eeaf", "huff": "sepolia:0xfae694D0c2c44181791F838c54Ed64C3151FfE30@11857616", "solady": "v0.1.26", "prb-math": "v4.2.0", "abdk": "v3.2", "balancer": "balancer-v3-monorepo@2b9ce4b1b8ad (LogExpMath.sol, vendored)", "aave": "aave-v3-origin@8305565ae342 (MathUtils, transcribed)", "morpho": "morpho-blue@8e26ca6a8dbc (MathLib, transcribed)", "fraxlend": "fraxlend@2bed49d4dcc6 (VariableInterestRate V2, transcribed)", "euler": "evk-periphery@af436991e135 (IRMAdaptiveCurve, ExpLib, transcribed)", "maker": "dss pot.sol rpow via solady v0.1.26", "solmate": "solmate@89365b8 (no tag: v6 predates SignedWadMath)", "openzeppelin": "openzeppelin-contracts v5.7.0 (Math, SignedMath, vendored)", "uniswap": "v4-core v4.0.0 (FullMath, vendored)", "snekmate": "v0.1.2 (math module, vyper 0.4.3)", "forge": "forge Version: 1.7.1" }, "forms": [ "yul", "lib", "bl127lib", "quad" ], "formLabels": { "huff": "Huff (Sepolia, staticcall)", "yul": "Yul object (staticcall)", "caller": "BL127Caller", "lib": "BL19Lib (inline)", "abdk": "ABDKMath64x64", "solady": "Solady", "prb": "PRBMath SD59x18", "quad": "ABDKMathQuad", "balancer": "Balancer LogExpMath", "solmate": "Solmate", "oz": "OpenZeppelin Math", "uniswap": "Uniswap FullMath", "prbud": "PRBMath UD60x18", "snekmate": "snekmate (Vyper)", "bl127lib": "BL127Lib (inline), the same op" }, "calls": { "quad": { "exp": "exp(x)", "exp2": "pow_2(x)", "ln": "ln(x)", "log2": "log_2(x)", "sqrt": "sqrt(x)", "inv": "div(fromUInt(1), x) (composed)", "abs": "abs(x)", "neg": "neg(x)", "sign": "sign(x)", "add": "add(a, b)", "sub": "sub(a, b)", "mul": "mul(a, b)", "div": "div(a, b)", "pow": "exp(mul(y, ln(x))) (composed)", "cmp": "cmp(a, b)", "eq": "eq(a, b)", "lt": "cmp(a, b) < 0 (composed)", "toUintDown": "toUInt(x) (truncates: floor for x >= 0)", "toIntDown": "toInt(x) (truncates: floor for x >= 0, the rows kept)", "toBL127": "to128x128(x) (truncates; toBL127 rounds to nearest)", "fromBL127": "from128x128(x) (truncates; fromBL127 rounds to nearest)", "fromUintDown": "fromUInt(x) (truncates the significand)" } }, "ops": { "abs": { "inputs": [ "28941286204894581265636209930450394586475903884053302712586557378335854297088", "28947801453445951557851548339984384098503017730923031557494630801203120832512", "28947911881387500206872147296078180530910256948666586283679513401590701621248", "28948085341192460346301373329738486378966408049482039046488293486272745621346", "28949011045153106605244235818950032093007728803453979368454711116056464719872", "28954537557880419148108084661705966475344610013279869854772469424845548945408" ], "gas": { "yul": [ 724, 724, 726, 743, 728, 729 ], "lib": [ 133, 133, 133, 133, 133, 133 ], "bl127lib": [ 152, 152, 152, 152, 152, 152 ], "quad": [ 21, 21, 21, 21, 21, 21 ] }, "summary": { "yul": { "min": 724, 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