{ "generated": "2026-10-06", "description": "Terminal precision: each scenario is N identical steps run through each library in its native representation for several inputs, against the same loop in exact arithmetic (mpmath, 200 digits), twice: from the exact parameters (digits) and from the parameters as the library received them (digitsFormat). See methodology.", "versions": { "fp127": "f8e9bb1", "huff": "sepolia:0xfae694D0c2c44181791F838c54Ed64C3151FfE30@11857616", "solady": "v0.1.26", "prb-math": "v4.2.0", "abdk": "v3.2", "forge": "forge Version: 1.7.1" }, "ladder": [ 1, 2, 5, 10, 20, 50, 100, 365, 1000, 10000 ], "ladderLog10": { "1": "0.0", "2": "0.30103", "5": "0.69897", "10": "1.0", "20": "1.30103", "50": "1.69897", "100": "2.0", "365": "2.56229", "1000": "3.0", "10000": "4.0" }, "forms": [ { "id": "fp127", "label": "FP127 (deployed, staticcall)", "scale": "2**128" }, { "id": "fp127lib", "label": "FP127Lib (inline)", "scale": "2**128" }, { "id": "abdk", "label": "ABDKMath64x64", "scale": "2**64" }, { "id": "solady", "label": "Solady FixedPointMathLib", "scale": "10**18" }, { "id": "prb", "label": "PRBMath SD59x18", "scale": "10**18" } ], "digitsCap": 60, "chartCap": 40, "methodology": { "truth": "For every scenario, input and N the same loop is run in exact real arithmetic with mpmath at 200 decimal digits (scripts/ladder/ladder.py), from the exact rational parameters in scenarios.json. Closed forms are used where the loop has one (compounding, the cumulative product, the geometric mean, the round trip); the bonding curve, the amortising loan and the Black-Scholes chain are stepped.", "rounding": "Each library receives the parameters floored into its own representation (2^-128, 2^-64 or 10^-18 units; scripts/ladder/inputs.json). truthFormat is the exact loop started from those floored parameters, so digitsFormat measures the library's arithmetic alone, while digits measures what a protocol sees: the format's rounding of the inputs plus the arithmetic.", "digits": "digits = floor(-log10 |v - t| / |t|), the number of correct leading significant digits by relative error, capped at 60, which is reported as exact. It is not a string comparison: a value can be correct to 36 digits while its 37th printed digit happens to agree with the truth, or while a carry makes the printed prefix differ earlier.", "agree": "agree is the count of leading significant digits of the printed value (42 significant digits) that are literally equal to the printed truth. The demo page colours the rest of the value with it. It is a reading aid, not a measurement: a carry across 0.999\u2026 / 1.000\u2026 gives 0.", "gas": "gasTotal is measured inside the adapter around the scenario function (the parameter reads and the loop), after the runner has warmed the adapter and the FP127 object, so the call into the adapter and the ABI decoding are excluded. The FP127 (deployed) form includes one staticcall per op; FP127Lib and the other libraries are internal calls. gasPerStep = gasTotal / N. Reverted cells carry no gas.", "live": "LadderRunner.run(scenario, form, n, p) on Sepolia executes any cell with one eth_call and returns (ok, raw, reason, gasPerStep, gasTotal). The demo's verify button sends the cell's floored parameters p and compares the returned raw word with the committed one bit for bit (or the revert selector for a reverted cell). liveMaxN is the largest N per form the public RPC completed within its gas limit, measured by scripts/ladder/livecap.py.", "reproduce": "make ladder regenerates ladder.json and ladder.md from the Foundry harness (test/ladder/Ladder.t.sol) and this script; make ladder-check fails CI when the committed dataset differs. Versions of every library and of forge are recorded in the dataset." }, "scenarios": [ { "id": "compound", "index": 0, "demo": true, "title": "Daily compound interest", "step": "b = b * (1 + r)", "result": "balance after N days", "why": "Per-block or per-day accrual in every lending protocol: one mul per step, N steps.", "order": [ "principal", "rate" ], "derived": {}, "ops": { "fp127": [ "mul" ], "fp127lib": [ "mul" ], "abdk": [ "mul" ], "solady": [ "sMulWad" ], "prb": [ "mul" ] }, "inputs": [ { "name": "reference", "reference": true, "why": "$10,000 at 10% APR, the headline cell", "params": { "principal": "10000", "rate": "0.1/365" }, "resolved": { "principal": "10000.0", "rate": "0.000273972602739726027397260273972602739726027" }, "truth": { "1": "10002.7397260273972602739726027397260273973", "2": "10005.4802026646650403452805404391067742541", "5": "10013.7061382924386210524857642965155424808", "10": "10027.4310624075663873328585783270357249574", "20": "10054.9373711336135548503369243222913751056", "50": "10137.9098421416552959332725454243516547326", "100": "10277.721596739264220164675884991779643531", "365": "11051.5578161626437393801159668054461177946", "1000": "13151.2942008121758666272801482974151894245", "10000": "154769.34069144112806190764064318746174622" }, "truthFormat": { "2**128": { "1": "10002.7397260273972602739726027397260273831", "2": "10005.4802026646650403452805404391067742258", "5": "10013.7061382924386210524857642965155424101", "10": "10027.4310624075663873328585783270357248157", "20": "10054.9373711336135548503369243222913748213", "50": "10137.9098421416552959332725454243516540161", "100": "10277.7215967392642201646758849917796420783", "365": "11051.5578161626437393801159668054461120931", "1000": "13151.2942008121758666272801482974151708361", "10000": "154769.34069144112806190764064318745955867" }, "2**64": { "1": "10002.7397260273972600785191700012433102529", "2": "10005.4802026646650399542665771907777877954", "5": "10013.7061382924386200741471826822447632445", "10": "10027.4310624075663853734995663192074778207", "20": "10054.937371133613550920869440439192010187", "50": "10137.9098421416552860285397736420984834779", "100": "10277.7215967392642000820183148249192217963", "365": "11051.5578161626436605593414014599397698577", "1000": "13151.294200812175609651124924142183760655", "10000": "154769.340691441097819994175573140474179894" }, "10**18": { "1": "10002.73972602739726", "2": "10005.48020266466503979718521298555076", "5": "10013.7061382924386196811209138045354520256", "10": "10027.4310624075663845863696540850290456649", "20": "10054.9373711336135493422912540217635458895", "50": "10137.9098421416552820495285819326298125931", "100": "10277.7215967392641920142469703402753810544", "365": "11051.5578161626436288948077526349463981174", "1000": "13151.2942008121755064165378636582564191694", "10000": "154769.340691441085670962504669178459129233" } }, "cells": { "fp127": { "1": { "value": "10002.7397260273972602739726027397260273831", "digits": 38, "digitsFormat": 60, "exact": false, "agree": 39, "errUlps": "-4810.96", "relErr": "-1.41343e-39", "raw": "3403755949666702274259673128036673260340000", "gas": 1871, "gasPerStep": 1871 }, "2": { "value": "10005.4802026646650403452805404391067742258", "digits": 38, "digitsFormat": 42, "exact": false, "agree": 39, "errUlps": "-9625.4", "relErr": "-2.8271e-39", "raw": "3404688485543323288581388106975861389995554", "gas": 3212, "gasPerStep": 1606 }, "5": { "value": "10013.7061382924386210524857642965155424101", "digits": 38, "digitsFormat": 42, "exact": false, "agree": 39, "errUlps": "-24083.1", "relErr": "-7.06769e-39", "raw": "3407487626388881358454318285018398702905994", "gas": 7235, "gasPerStep": 1447 }, "10": { "value": "10027.4310624075663873328585783270357248157", "digits": 37, "digitsFormat": 41, "exact": false, "agree": 38, "errUlps": "-48232.5", "relErr": "-1.41355e-38", "raw": "3412157976052587301682235746989530010598495", "gas": 13940, "gasPerStep": 1394 }, "20": { "value": "10054.9373711336135548503369243222913748213", "digits": 37, "digitsFormat": 41, "exact": false, "agree": 37, "errUlps": "-96731.2", "relErr": "-2.82714e-38", "raw": "3421517887891144695366396716445441388188205", "gas": 27351, "gasPerStep": 1367 }, "50": { "value": "10137.909842141655295933272545424351654016", "digits": 37, "digitsFormat": 41, "exact": false, "agree": 38, "errUlps": "-243824.0", "relErr": "-7.06787e-38", "raw": "3449751956715040084008762809673487784914014", "gas": 67586, "gasPerStep": 1351 }, "100": { "value": "10277.7215967392642201646758849917796420782", "digits": 36, "digitsFormat": 40, "exact": false, "agree": 37, "errUlps": "-494375.0", "relErr": "-1.41358e-37", "raw": "3497327431492883849142179832619559394729276", "gas": 134651, "gasPerStep": 1346 }, "365": { "value": "11051.5578161626437393801159668054461120925", "digits": 36, "digitsFormat": 40, "exact": false, "agree": 37, "errUlps": "-1.94032e+6", "relErr": "-5.15953e-37", "raw": "3760650251847422126544826182474085878843312", "gas": 490263, "gasPerStep": 1343 }, "1000": { "value": "13151.2942008121758666272801482974151708344", "digits": 35, "digitsFormat": 39, "exact": false, "agree": 36, "errUlps": "-6.32587e+6", "relErr": "-1.41355e-36", "raw": "4475153518725978999354785710825927528088900", "gas": 1343506, "gasPerStep": 1343 }, "10000": { "value": "154769.340691441128061907640643187459558592", "digits": 34, "digitsFormat": 39, "exact": false, "agree": 34, "errUlps": "-7.44411e+8", "relErr": "-1.41348e-35", "raw": "52665277577276701814230258649231104339911319", "gas": 13606076, "gasPerStep": 1360 } }, "fp127lib": { "1": { "value": "10002.7397260273972602739726027397260273831", "digits": 38, "digitsFormat": 60, "exact": false, "agree": 39, "errUlps": "-4810.96", "relErr": "-1.41343e-39", "raw": "3403755949666702274259673128036673260340000", "gas": 928, "gasPerStep": 928 }, "2": { "value": "10005.4802026646650403452805404391067742258", "digits": 38, "digitsFormat": 42, "exact": false, "agree": 39, "errUlps": "-9625.4", "relErr": "-2.8271e-39", "raw": "3404688485543323288581388106975861389995554", "gas": 1306, "gasPerStep": 653 }, "5": { "value": "10013.7061382924386210524857642965155424101", "digits": 38, "digitsFormat": 42, "exact": false, "agree": 39, "errUlps": "-24083.1", "relErr": "-7.06769e-39", "raw": "3407487626388881358454318285018398702905994", "gas": 2440, "gasPerStep": 488 }, "10": { "value": "10027.4310624075663873328585783270357248157", "digits": 37, "digitsFormat": 41, "exact": false, "agree": 38, "errUlps": "-48232.5", "relErr": "-1.41355e-38", "raw": "3412157976052587301682235746989530010598495", "gas": 4330, "gasPerStep": 433 }, "20": { "value": "10054.9373711336135548503369243222913748213", "digits": 37, "digitsFormat": 41, "exact": false, "agree": 37, "errUlps": "-96731.2", "relErr": "-2.82714e-38", "raw": "3421517887891144695366396716445441388188205", "gas": 8110, "gasPerStep": 405 }, "50": { "value": "10137.909842141655295933272545424351654016", "digits": 37, "digitsFormat": 41, "exact": false, "agree": 38, "errUlps": "-243824.0", "relErr": "-7.06787e-38", "raw": "3449751956715040084008762809673487784914014", "gas": 19450, "gasPerStep": 389 }, "100": { "value": "10277.7215967392642201646758849917796420782", "digits": 36, "digitsFormat": 40, "exact": false, "agree": 37, "errUlps": "-494375.0", "relErr": "-1.41358e-37", "raw": "3497327431492883849142179832619559394729276", "gas": 38350, "gasPerStep": 383 }, "365": { "value": "11051.5578161626437393801159668054461120925", "digits": 36, "digitsFormat": 40, "exact": false, "agree": 37, "errUlps": "-1.94032e+6", "relErr": "-5.15953e-37", "raw": "3760650251847422126544826182474085878843312", "gas": 138520, "gasPerStep": 379 }, "1000": { "value": "13151.2942008121758666272801482974151708344", "digits": 35, "digitsFormat": 39, "exact": false, "agree": 36, "errUlps": "-6.32587e+6", "relErr": "-1.41355e-36", "raw": "4475153518725978999354785710825927528088900", "gas": 378550, "gasPerStep": 378 }, "10000": { "value": "154769.340691441128061907640643187459558592", "digits": 34, "digitsFormat": 39, "exact": false, "agree": 34, "errUlps": "-7.44411e+8", "relErr": "-1.41348e-35", "raw": "52665277577276701814230258649231104339911319", "gas": 3780550, "gasPerStep": 378 } }, "abdk": { "1": { "value": "10002.7397260273972600785191700012433102529", "digits": 19, "digitsFormat": 60, "exact": false, "agree": 20, "errUlps": "-3605.48", "relErr": "-1.954e-20", "raw": "184517979761954994380000", "gas": 934, "gasPerStep": 934 }, "2": { "value": "10005.4802026646650399542451230494588543252", "digits": 19, "digitsFormat": 23, "exact": false, "agree": 18, "errUlps": "-7213.33", "relErr": "-3.90821e-20", "raw": "184568532633122653278963", "gas": 1219, "gasPerStep": 609 }, "5": { "value": "10013.7061382924386200740608440784562560566", "digits": 19, "digitsFormat": 23, "exact": false, "agree": 19, "errUlps": "-18048.8", "relErr": "-9.77086e-20", "raw": "184720274362415001828142", "gas": 2074, "gasPerStep": 414 }, "10": { "value": "10027.4310624075663853733086060271428863189", "digits": 18, "digitsFormat": 22, "exact": false, "agree": 19, "errUlps": "-36147.3", "relErr": "-1.95419e-19", "raw": "184973454524997848244399", "gas": 3499, "gasPerStep": 349 }, "20": { "value": "10054.937371133613550920398935217825453492", "digits": 18, "digitsFormat": 22, "exact": false, "agree": 19, "errUlps": "-72494.6", "relErr": "-3.90847e-19", "raw": "185480856362479684121980", "gas": 6349, "gasPerStep": 317 }, "50": { "value": "10137.9098421416552860271844023476450757926", "digits": 18, "digitsFormat": 21, "exact": false, "agree": 18, "errUlps": "-182735.0", "relErr": "-9.77133e-19", "raw": "187011428300328315585285", "gas": 14899, "gasPerStep": 297 }, "100": { "value": "10277.7215967392642000792805576092625585716", "digits": 17, "digitsFormat": 21, "exact": false, "agree": 18, "errUlps": "-370510.0", "relErr": "-1.95427e-18", "raw": "189590499955886691976958", "gas": 29149, "gasPerStep": 291 }, "365": { "value": "11051.5578161626436605492209384882240641446", "digits": 17, "digitsFormat": 21, "exact": false, "agree": 17, "errUlps": "-1.45417e+6", "relErr": "-7.13301e-18", "raw": "203865258650556721257023", "gas": 104674, "gasPerStep": 286 }, "1000": { "value": "13151.294200812175609621539323218497585799", "digits": 16, "digitsFormat": 20, "exact": false, "agree": 17, "errUlps": "-4.74092e+6", "relErr": "-1.95422e-17", "raw": "242598558360442794265699", "gas": 285649, "gasPerStep": 285 }, "10000": { "value": "154769.340691441097818583337575315539424992", "digits": 15, "digitsFormat": 20, "exact": false, "agree": 15, "errUlps": "-5.57891e+8", "relErr": "-1.95409e-16", "raw": "2854990418191775628808432", "gas": 2850649, "gasPerStep": 285 } }, "solady": { "1": { "value": "10002.73972602739726", "digits": 19, "digitsFormat": 60, "exact": false, "agree": 19, "errUlps": "-273.973", "relErr": "-2.73898e-20", "raw": "10002739726027397260000", "gas": 752, "gasPerStep": 752 }, "2": { "value": "10005.480202664665039797", "digits": 19, "digitsFormat": 22, "exact": false, "agree": 18, "errUlps": "-548.281", "relErr": "-5.4798e-20", "raw": "10005480202664665039797", "gas": 989, "gasPerStep": 494 }, "5": { "value": "10013.706138292438619679", "digits": 18, "digitsFormat": 21, "exact": false, "agree": 18, "errUlps": "-1373.49", "relErr": "-1.37161e-19", "raw": "10013706138292438619679", "gas": 1700, "gasPerStep": 340 }, "10": { "value": "10027.431062407566384582", "digits": 18, "digitsFormat": 21, "exact": false, "agree": 19, "errUlps": "-2750.86", "relErr": "-2.74333e-19", "raw": "10027431062407566384582", "gas": 2885, "gasPerStep": 288 }, "20": { "value": "10054.937371133613549333", "digits": 18, "digitsFormat": 21, "exact": false, "agree": 18, "errUlps": "-5517.34", "relErr": "-5.48719e-19", "raw": "10054937371133613549333", "gas": 5255, "gasPerStep": 262 }, "50": { "value": "10137.909842141655282022", "digits": 17, "digitsFormat": 20, "exact": false, "agree": 18, "errUlps": "-13911.3", "relErr": "-1.3722e-18", "raw": "10137909842141655282022", "gas": 12365, "gasPerStep": 247 }, "100": { "value": "10277.721596739264191958", "digits": 17, "digitsFormat": 20, "exact": false, "agree": 17, "errUlps": "-28206.7", "relErr": "-2.74445e-18", "raw": "10277721596739264191958", "gas": 24215, "gasPerStep": 242 }, "365": { "value": "11051.557816162643628692", "digits": 16, "digitsFormat": 19, "exact": false, "agree": 17, "errUlps": "-110688.0", "relErr": "-1.00156e-17", "raw": "11051557816162643628692", "gas": 87020, "gasPerStep": 238 }, "1000": { "value": "13151.294200812175505839", "digits": 16, "digitsFormat": 19, "exact": false, "agree": 17, "errUlps": "-360788.0", "relErr": "-2.74337e-17", "raw": "13151294200812175505839", "gas": 237515, "gasPerStep": 237 }, "10000": { "value": 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"relErr": "0", "raw": "415051741658464911360000", "gas": 1474, "gasPerStep": 737 }, "5": { "value": "75937.5", "digits": 60, "digitsFormat": 60, "exact": true, "agree": 6, "errUlps": "0", "relErr": "0", "raw": "1400799628097319075840000", "gas": 2329, "gasPerStep": 465 }, "10": { "value": "576650.390625", "digits": 60, "digitsFormat": 60, "exact": true, "agree": 12, "errUlps": "0", "relErr": "0", "raw": "10637322175864016732160000", "gas": 3754, "gasPerStep": 375 }, "20": { "value": "33252567.3007965087890625", "digits": 60, "digitsFormat": 60, "exact": true, "agree": 24, "errUlps": "0", "relErr": "0", "raw": "613401598791596019548160000", "gas": 6604, "gasPerStep": 330 }, "50": { "value": "6376215002140.49586903407806914856337243691", "digits": 60, "digitsFormat": 60, "exact": true, "agree": 42, "errUlps": "0", "relErr": "0", "raw": "117620406303433128144117596160000", "gas": 15154, "gasPerStep": 303 }, "100": { "reverted": true, "reason": "0x00000000", "reasonName": "bare revert (require without a reason, or out of gas)", "gas": null }, "365": { "reverted": true, "reason": "0x00000000", "reasonName": "bare revert (require without a reason, or out of gas)", "gas": null }, "1000": { "reverted": true, "reason": "0x00000000", "reasonName": "bare revert (require without a reason, or out of gas)", "gas": null }, "10000": { "reverted": true, "reason": "0x00000000", "reasonName": "bare revert (require without a reason, or out of gas)", "gas": null } }, "solady": { "1": { "value": "15000.0", "digits": 60, "digitsFormat": 60, "exact": true, "agree": 6, "errUlps": "0", "relErr": "0", "raw": "15000000000000000000000", "gas": 1007, "gasPerStep": 1007 }, "2": { "value": "22500.0", "digits": 60, "digitsFormat": 60, "exact": true, "agree": 6, "errUlps": "0", "relErr": "0", "raw": "22500000000000000000000", "gas": 1244, "gasPerStep": 622 }, "5": { "value": "75937.5", "digits": 60, "digitsFormat": 60, "exact": true, "agree": 6, "errUlps": "0", "relErr": "0", "raw": 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"reason": "0xedcd4dd4", "reasonName": "Solady ExpOverflow()", "gas": null }, "1000": { "reverted": true, "reason": "0xedcd4dd4", "reasonName": "Solady ExpOverflow()", "gas": null }, "10000": { "reverted": true, "reason": "0xedcd4dd4", "reasonName": "Solady ExpOverflow()", "gas": null } }, "prb": { "1": { "value": "15000.0", "digits": 60, "digitsFormat": 60, "exact": true, "agree": 6, "errUlps": "0", "relErr": "0", "raw": "15000000000000000000000", "gas": 1367, "gasPerStep": 1367 }, "2": { "value": "22500.0", "digits": 60, "digitsFormat": 60, "exact": true, "agree": 6, "errUlps": "0", "relErr": "0", "raw": "22500000000000000000000", "gas": 1964, "gasPerStep": 982 }, "5": { "value": "75937.5", "digits": 60, "digitsFormat": 60, "exact": true, "agree": 6, "errUlps": "0", "relErr": "0", "raw": "75937500000000000000000", "gas": 3755, "gasPerStep": 751 }, "10": { "value": "576650.390625", "digits": 60, "digitsFormat": 60, "exact": true, "agree": 12, "errUlps": "0", "relErr": "0", "raw": "576650390625000000000000", "gas": 6740, "gasPerStep": 674 }, "20": { "value": "33252567.3007965087890625", "digits": 60, "digitsFormat": 60, "exact": true, "agree": 24, "errUlps": "0", "relErr": "0", "raw": "33252567300796508789062500", "gas": 12710, "gasPerStep": 635 }, "50": { "value": "6376215002140.495869034077993006", "digits": 25, "digitsFormat": 25, "exact": false, "agree": 24, "errUlps": "-76142.6", "relErr": "-1.19417e-26", "raw": "6376215002140495869034077993006", "gas": 30620, "gasPerStep": 612 }, "100": { "value": "4065611775352152373972.797027119968277598", "digits": 25, "digitsFormat": 25, "exact": false, "agree": 26, "errUlps": "-4.85504e+13", "relErr": "-1.19417e-26", "raw": "4065611775352152373972797027119968277598", "gas": 60470, "gasPerStep": 604 }, "365": { "reverted": true, "reason": "0x120b5b43", "reasonName": "PRBMath_SD59x18_Mul_Overflow", "gas": null }, "1000": { "reverted": true, "reason": "0x120b5b43", "reasonName": "PRBMath_SD59x18_Mul_Overflow", "gas": null }, "10000": { "reverted": true, "reason": "0x120b5b43", "reasonName": "PRBMath_SD59x18_Mul_Overflow", "gas": null } } } } ], "summary": { "fp127": { "1": { "count": 5, "reverts": 0, "unrepresentable": 0, "digits": { "min": 38, "median": 38, "max": 40 }, "digitsFormat": { "min": 40, "median": 40, "max": 40 } }, "2": { "count": 5, "reverts": 0, "unrepresentable": 0, "digits": { "min": 38, "median": 38, "max": 40 }, "digitsFormat": { "min": 38, "median": 40, "max": 40 } }, "5": { "count": 5, "reverts": 0, "unrepresentable": 0, "digits": { "min": 37, "median": 38, "max": 40 }, "digitsFormat": { "min": 38, "median": 40, "max": 40 } }, "10": { "count": 5, "reverts": 0, "unrepresentable": 0, "digits": { "min": 37, "median": 37, "max": 40 }, "digitsFormat": { "min": 38, "median": 40, "max": 40 } }, "20": { "count": 5, "reverts": 0, "unrepresentable": 0, "digits": { "min": 37, "median": 37, "max": 40 }, "digitsFormat": { "min": 37, "median": 40, "max": 40 } }, "50": { "count": 5, 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{ "min": 38, "median": 40, "max": 40 } }, "5": { "count": 5, "reverts": 0, "unrepresentable": 0, "digits": { "min": 37, "median": 38, "max": 40 }, "digitsFormat": { "min": 38, "median": 40, "max": 40 } }, "10": { "count": 5, "reverts": 0, "unrepresentable": 0, "digits": { "min": 37, "median": 37, "max": 40 }, "digitsFormat": { "min": 38, "median": 40, "max": 40 } }, "20": { "count": 5, "reverts": 0, "unrepresentable": 0, "digits": { "min": 37, "median": 37, "max": 40 }, "digitsFormat": { "min": 37, "median": 40, "max": 40 } }, "50": { "count": 5, "reverts": 0, "unrepresentable": 0, "digits": { "min": 36, "median": 37, "max": 40 }, "digitsFormat": { "min": 37, "median": 40, "max": 40 } }, "100": { "count": 5, "reverts": 0, "unrepresentable": 0, "digits": { "min": 36, "median": 36, "max": 40 }, "digitsFormat": { "min": 37, "median": 40, "max": 40 } }, "365": { "count": 4, "reverts": 1, "unrepresentable": 0, "digits": { "min": 36, "median": 36, "max": 36 }, "digitsFormat": { "min": 37, 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"min": 40, "median": 40, "max": 40 } }, "5": { "count": 5, "reverts": 0, "unrepresentable": 0, "digits": { "min": 40, "median": 40, "max": 40 }, "digitsFormat": { "min": 40, "median": 40, "max": 40 } }, "10": { "count": 5, "reverts": 0, "unrepresentable": 0, "digits": { "min": 40, "median": 40, "max": 40 }, "digitsFormat": { "min": 40, "median": 40, "max": 40 } }, "20": { "count": 5, "reverts": 0, "unrepresentable": 0, "digits": { "min": 18, "median": 40, "max": 40 }, "digitsFormat": { "min": 18, "median": 40, "max": 40 } }, "50": { "count": 5, "reverts": 0, "unrepresentable": 0, "digits": { "min": 18, "median": 22, "max": 25 }, "digitsFormat": { "min": 18, "median": 22, "max": 25 } }, "100": { "count": 5, "reverts": 0, "unrepresentable": 0, "digits": { "min": 18, "median": 22, "max": 25 }, "digitsFormat": { "min": 18, "median": 22, "max": 25 } }, "365": { "count": 4, "reverts": 1, "unrepresentable": 0, "digits": { "min": 18, "median": 21.5, "max": 24 }, "digitsFormat": { "min": 18, "median": 21.5, "max": 24 } }, "1000": { "count": 1, "reverts": 4, "unrepresentable": 0, "digits": { "min": 21, "median": 21, "max": 21 }, "digitsFormat": { "min": 21, "median": 21, "max": 21 } }, "10000": { "count": 0, "reverts": 5, "unrepresentable": 0 } }, "prb": { "1": { "count": 5, "reverts": 0, "unrepresentable": 0, "digits": { "min": 40, "median": 40, "max": 40 }, "digitsFormat": { "min": 40, "median": 40, "max": 40 } }, "2": { "count": 5, "reverts": 0, "unrepresentable": 0, "digits": { "min": 40, "median": 40, "max": 40 }, "digitsFormat": { "min": 40, "median": 40, "max": 40 } }, "5": { "count": 5, "reverts": 0, "unrepresentable": 0, "digits": { "min": 40, "median": 40, "max": 40 }, "digitsFormat": { "min": 40, "median": 40, "max": 40 } }, "10": { "count": 5, "reverts": 0, "unrepresentable": 0, "digits": { "min": 40, "median": 40, "max": 40 }, "digitsFormat": { "min": 40, "median": 40, "max": 40 } }, "20": { "count": 5, "reverts": 0, "unrepresentable": 0, "digits": { "min": 18, "median": 40, "max": 40 }, "digitsFormat": { "min": 18, "median": 40, "max": 40 } }, "50": { "count": 5, "reverts": 0, "unrepresentable": 0, "digits": { "min": 18, "median": 22, "max": 25 }, "digitsFormat": { "min": 18, "median": 22, "max": 25 } }, "100": { "count": 5, "reverts": 0, "unrepresentable": 0, "digits": { "min": 18, "median": 22, "max": 25 }, "digitsFormat": { "min": 18, "median": 22, "max": 25 } }, "365": { "count": 4, "reverts": 1, "unrepresentable": 0, "digits": { "min": 18, "median": 21.5, "max": 24 }, "digitsFormat": { "min": 18, "median": 21.5, "max": 24 } }, "1000": { "count": 4, "reverts": 1, "unrepresentable": 0, "digits": { "min": 18, "median": 21.5, "max": 24 }, "digitsFormat": { "min": 18, "median": 21.5, "max": 24 } }, "10000": { "count": 0, "reverts": 5, "unrepresentable": 0 } } }, "liveMaxN": { "fp127": 10000, "fp127lib": 10000, "abdk": 10000, "solady": 10000, "prb": 10000 } } ], "liveRunner": "0x798C37A3E5B421D480AC850258466b5598A1A555", "liveSelector": "0x281dbbfe", "liveNote": "liveMaxN is the largest N on the ladder that the public Sepolia RPC's eth_call completed for every input of that form. Above it the runner reports a bare revert because the adapter ran out of gas under the RPC's eth_call limits (calls needing more than about 40M gas, or a few seconds of execution, fail); the demo page greys out verify above it. Anyone with their own node can run every cell." }