{ "generated": "2026-10-28", "description": "Gas per op across an input ladder. First four forms are BL127; the first two and the third include the external call. BL127Lib and the competitors are the internal library call alone, timed inside the harness's entry point net of its dispatch. 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 (the Huff and BL127Caller columns record any failure as not offered). calls says what each competitor cell calls. summary holds min/median/max per form, null where there is no measurement. 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": [ "huff", "yul", "caller", "lib", "abdk", "solady", "prb", "quad", "balancer", "solmate", "oz", "uniswap", "prbud", "snekmate" ], "formLabels": { "huff": "Huff (Sepolia, staticcall)", "yul": "Yul object (staticcall)", "caller": "BL127Caller", "lib": "BL127Lib (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": { "abdk": { "exp": "exp(x)", "exp2": "exp_2(x)", "ln": "ln(x)", "log2": "log_2(x)", "sqrt": "sqrt(x)", "inv": "inv(x)", "abs": "abs(x)", "neg": "neg(x)", "add": "add(a, b)", "sub": "sub(a, b)", "mul": "mul(a, b)", "div": "div(a, b)", "avg": "avg(a, b)", "gavg": "gavg(a, b)", "powu": "pow(x, n), n a uint256 (n >= 0)" }, "solady": { "exp": "expWad(x)", "ln": "lnWad(x)", "lambertW0": "lambertW0Wad(x)", "sqrt": "sqrtWad(x) (x >= 0)", "cbrt": "cbrtWad(x) (x >= 0)", "inv": "sDivWad(1e18, x) (composed)", "abs": "abs(int256)", "log2Up": "log2Up(uint256) on the integer x (integral x >= 1)", "factorial": "factorial(uint256) on the integer x (integral x)", "add": "rawAdd(int256, int256) (unchecked)", "sub": "rawSub(int256, int256) (unchecked)", "mul": "sMulWad(a, b) (toward zero)", "div": "sDivWad(a, b)", "pow": "powWad(x, y)", "mulDown": "mulWad(a, b) (a, b >= 0)", "mulUp": "mulWadUp(a, b) (a, b >= 0)", "divDown": "divWad(a, b) (a >= 0, b > 0)", "divUp": "divWadUp(a, b) (a >= 0, b > 0)", "avg": "avg(int256, int256)", "dist": "dist(int256, int256)", "min": "min(int256, int256)", "max": "max(int256, int256)", "zeroFloorSub": "zeroFloorSub(uint256, uint256) (a, b >= 0)", "gavg": "mulSqrt(a, b) (a, b >= 0)", "powu": "rpow(x, n, 1e18) (x >= 0, n >= 0)", "clamp": "clamp(int256, int256, int256)", "lerp": "lerp(a, b, t, 0, 1e18) (t in [0, 1]: Solady clamps t)" }, "prb": { "exp": "exp(x)", "exp2": "exp2(x)", "ln": "ln(x)", "log2": "log2(x)", "log10": "log10(x)", "sqrt": "sqrt(x)", "inv": "inv(x)", "abs": "abs(x)", "neg": "unary(x)", "sign": "sign(x)", "floor": "floor(x)", "ceil": "ceil(x)", "frac": "frac(x)", "add": "add(a, b)", "sub": "sub(a, b)", "mul": "mul(a, b)", "div": "div(a, b)", "pow": "pow(x, y)", "powu": "powu(x, n), n a uint256 (n >= 0)", "avg": "avg(a, b)", "gavg": "gm(a, b)" }, "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)" }, "balancer": { "exp": "exp(x)", "ln": "ln(x)", "log2": "log(x, 2e18)", "log10": "log(x, 10e18)", "sqrt": "pow(x, 0.5e18) (composed; x >= 0)", "cbrt": "pow(x, 333333333333333333) (composed; x >= 0)", "pow": "pow(x, y) (x, y >= 0)" }, "solmate": { "exp": "wadExp(x)", "ln": "wadLn(x)", "sqrt": "sqrt(x * 1e18) (composed: the integer root; x >= 0)", "mul": "wadMul(a, b) (toward zero)", "div": "wadDiv(a, b) (toward zero)", "pow": "wadPow(x, y)", "mulDown": "mulWadDown(a, b) (a, b >= 0)", "mulUp": "mulWadUp(a, b) (a, b >= 0)", "divDown": "divWadDown(a, b) (a, b >= 0)", "divUp": "divWadUp(a, b) (a, b >= 0)", "powu": "rpow(x, n, 1e18) (x >= 0, n >= 0)" }, "oz": { "abs": "SignedMath.abs(int256)", "sqrt": "Math.sqrt(x * 1e18) (composed: the integer root; x >= 0)", "log2Up": "Math.log2(uint256, Rounding.Ceil) on the integer x (integral x >= 1)", "mulDown": "Math.mulDiv(a, b, 1e18) (a, b >= 0)", "mulUp": "Math.mulDiv(a, b, 1e18, Rounding.Ceil) (a, b >= 0)", "divDown": "Math.mulDiv(a, 1e18, b) (a, b >= 0)", "divUp": "Math.mulDiv(a, 1e18, b, Rounding.Ceil) (a, b >= 0)", "avg": "SignedMath.average(a, b) (toward zero; BL127's avg floors)", "min": "SignedMath.min(a, b)", "max": "SignedMath.max(a, b)", "zeroFloorSub": "Math.saturatingSub(uint256, uint256) (a, b >= 0)" }, "uniswap": { "mulDown": "FullMath.mulDiv(a, b, 1e18) (a, b >= 0)", "mulUp": "FullMath.mulDivRoundingUp(a, b, 1e18) (a, b >= 0)", "divDown": "FullMath.mulDiv(a, 1e18, b) (a, b >= 0)", "divUp": "FullMath.mulDivRoundingUp(a, 1e18, b) (a, b >= 0)" }, "prbud": { "exp": "exp(x) (x >= 0)", "exp2": "exp2(x) (x >= 0)", "ln": "ln(x) (x >= 0)", "log2": "log2(x) (x >= 0)", "log10": "log10(x) (x >= 0)", "sqrt": "sqrt(x) (x >= 0)", "inv": "inv(x) (x >= 0)", "floor": "floor(x) (x >= 0)", "ceil": "ceil(x) (x >= 0)", "frac": "frac(x) (x >= 0)", "add": "add(a, b) (a, b >= 0)", "sub": "sub(a, b) (a, b >= 0)", "mul": "mul(a, b) (a, b >= 0)", "div": "div(a, b) (a, b >= 0)", "pow": "pow(x, y) (x, y >= 0)", "powu": "powu(x, n), n a uint256 (x >= 0, n >= 0)", "avg": "avg(a, b) (a, b >= 0)", "gavg": "gm(a, b) (a, b >= 0)" }, "snekmate": { "exp": "_wad_exp(x)", "ln": "_wad_ln(x)", "cbrt": "_wad_cbrt(x) (x >= 0)", "sign": "_signum(x)", "log2Up": "_log2(uint256, True) on the integer x (integral x >= 1)", "mulDown": "_mul_div(a, b, 1e18, False) (a, b >= 0)", "mulUp": "_mul_div(a, b, 1e18, True) (a, b >= 0)", "divDown": "_mul_div(a, 1e18, b, False) (a, b >= 0)", "divUp": "_mul_div(a, 1e18, b, True) (a, b >= 0)", "avg": "_int256_average(a, b)" } }, "ops": { "abs": { "inputs": [ "295147905179352825856", "170141183460469231731687303715884105728", "340282366920938463463374607431768211456", "1069028584064966747859680373161870783300", "340282366920938463463374607431768211456000", "392318858461667547739736838950479151006397215279002157056", "-1069028584064966747859680373161870783300" ], "gas": { "huff": [ 1281, 1283, 1285, 1286, 1288, 1290, 1291 ], "yul": [ 672, 675, 678, 681, 695, 688, 692 ], "caller": [ null, null, null, null, null, null, null ], "lib": [ 140, 140, 140, 140, 140, 140, 140 ], "abdk": [ 120, 120, 120, 120, 120, 120, 106 ], "solady": [ 18, 18, 18, 18, 18, 18, 18 ], "prb": [ 121, 121, 121, 121, 121, 121, 190 ], "quad": [ 21, 21, 21, 21, 21, 21, 21 ], "balancer": [ null, null, null, null, null, null, null ], "solmate": [ null, null, null, null, null, null, null ], "oz": [ 18, 18, 18, 18, 18, 18, 18 ], "uniswap": [ null, null, null, null, null, null, null ], "prbud": [ null, null, null, null, null, null, null ], "snekmate": [ null, null, null, null, null, null, null ] }, "summary": { "huff": { "min": 1281, "median": 1286, "max": 1291 }, "yul": { "min": 672, "median": 681, "max": 695 }, "caller": null, "lib": { "min": 140, "median": 140, "max": 140 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"min": 150, "median": 150, "max": 150 }, "snekmate": null }, "reverts": { "prbud": 1 } }, "atanh": { "inputs": [ "539514153540300709448526457749", "295147905179352825856", "-309485009821345068724781056", "340282366920938463463374607431768211", "-3402823669209384634633746074317682114", "170141183460469231731687303715884105728", "340282366920938463463374607431768211455" ], "gas": { "huff": [ null, null, null, null, null, null, null ], "yul": [ 3018, 3037, 3031, 3020, 3036, 3063, 2390 ], "caller": [ null, null, null, null, null, null, null ], "lib": [ 2910, 2910, 2914, 2910, 2949, 2949, 2280 ], "abdk": [ null, null, null, null, null, null, null ], "solady": [ null, null, null, null, null, null, null ], "prb": [ null, null, null, null, null, null, null ], "quad": [ null, null, null, null, null, null, null ], "balancer": [ null, null, null, null, null, null, null ], "solmate": [ null, null, null, null, null, null, null ], "oz": [ null, null, null, null, null, null, null ], "uniswap": [ 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null, null ], "lib": [ 2994, 2914, 2964, 2910, 2922, 2955, 2949, 2939 ], "abdk": [ null, null, null, null, null, null, null, null ], "solady": [ null, null, null, null, null, null, null, null ], "prb": [ null, null, null, null, null, null, null, null ], "quad": [ null, null, null, null, null, null, null, null ], "balancer": [ null, null, null, null, null, null, null, null ], "solmate": [ null, null, null, null, null, null, null, null ], "oz": [ null, null, null, null, null, null, null, null ], "uniswap": [ null, null, null, null, null, null, null, null ], "prbud": [ null, null, null, null, null, null, null, null ], "snekmate": [ null, null, null, null, null, null, null, null ] }, "summary": { "huff": null, "yul": { "min": 3255, "median": 3268, "max": 3296 }, "caller": null, "lib": { "min": 2910, "median": 2944, "max": 2994 }, "abdk": null, "solady": null, "prb": null, "quad": null, "balancer": null, "solmate": null, "oz": null, "uniswap": null, "prbud": null, "snekmate": null } } }, 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