{
 "generated": "2026-10-15",
 "description": "Edges: one-shot evaluations at the ends of each library's domain, every probe through every library in its native representation, against mpmath at 200 digits. See methodology.",
 "versions": {
  "fp127": "2b291a7",
  "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)",
  "maker": "dss pot.sol rpow via solady v0.1.26",
  "forge": "forge Version: 1.7.1"
 },
 "forms": [
  {
   "id": "fp127",
   "scale": "2**128"
  },
  {
   "id": "fp127lib",
   "scale": "2**128"
  },
  {
   "id": "abdk",
   "scale": "2**64"
  },
  {
   "id": "solady",
   "scale": "10**18"
  },
  {
   "id": "prb",
   "scale": "10**18"
  },
  {
   "id": "quad",
   "scale": "binary128"
  },
  {
   "id": "balancer",
   "scale": "10**18"
  },
  {
   "id": "aave",
   "scale": "10**27"
  },
  {
   "id": "morpho",
   "scale": "10**18"
  },
  {
   "id": "maker",
   "scale": "10**27"
  }
 ],
 "digitsCap": 60,
 "methodology": {
  "truth": "Every probe is one op evaluated once. The truth is mpmath at 200 decimal digits from the exact arguments; truthFormat is the same op from the arguments as the representation holds them (floored on a grid, nearest for binary128), so digitsFormat measures the op alone and digits what a caller sees.",
  "digits": "digits = floor(-log10 |v - t| / |t|), capped at 60 (reported as exact); errUlps is the signed error in units of the representation's last place (none for binary128).",
  "zero": "A cell is marked zero when the library returned 0 and the truth is not 0: the result fell below the representation's floor. On an 18-decimal grid that is anything below 1e-18; on FP127's, below 2^-128.",
  "reverted": "A revert is recorded with its selector and name. Unsupported means the library has no way to compute the op (the accrual libraries have no general ops; only FP127 has the secondary Lambert branch; the libraries without erf, erfc or normCdf run the same series and continued fraction through their own ops instead, so those cells are not Unsupported).",
  "range": "RANGE means the argument does not fit the representation at all (above 2^127 for FP127, 2^63 for 64.64, 2^128 as a bit pattern for binary128) and nothing was called.",
  "gas": "gas is measured inside the adapter around the op, after the adapter and the FP127 object are warm. The FP127 (deployed) form includes the staticcall; the others are internal calls.",
  "live": "EdgeRunner.run(op, form, args) on Sepolia evaluates any cell with one eth_call and returns (ok, raw, reason, gas); the edges page's verify button sends the probe's encoded arguments and compares the raw word bit for bit.",
  "reproduce": "make edges regenerates edges.json and edges.md from test/ladder/Edges.t.sol and this script; make edges-check fails CI when the committed dataset differs."
 },
 "ops": [
  {
   "id": "ln",
   "index": 0,
   "label": "ln(x)",
   "args": [
    "x"
   ],
   "why": "The logarithm near one is where a per-second rate lives: ln(1 + r) for r = 1e-9 has eight digits on an 18-decimal grid.",
   "probes": [
    {
     "id": "ln(1+1e-6)",
     "args": [
      "1+1e-6"
     ],
     "why": "",
     "resolved": [
      "1.000001"
     ],
     "truth": "0.000000999999500000333333083333533333166666809524",
     "truthFormat": {
      "2**128": "0.000000999999500000333333083333533333166045396811",
      "2**64": "0.000000999999500000303429949957778508227571895268",
      "10**18": "0.000000999999500000333333083333533333166666809524",
      "10**27": "0.000000999999500000333333083333533333166666809524",
      "binary128": "0.000000999999500000333333083333533290777761494444"
     },
     "cells": {
      "fp127": {
       "value": "0.000000999999500000333333083333533333166642074148",
       "digits": 34,
       "digitsFormat": 33,
       "exact": false,
       "agree": 34,
       "errUlps": "-0.00841701",
       "relErr": "-2.47354e-35",
       "raw": "340282196779868430364712664891801",
       "gas": 4091,
       "zero": false
      },
      "fp127lib": {
       "value": "0.000000999999500000333333083333533333166642074148",
       "digits": 34,
       "digitsFormat": 33,
       "exact": false,
       "agree": 34,
       "errUlps": "-0.00841701",
       "relErr": "-2.47354e-35",
       "raw": "340282196779868430364712664891801",
       "gas": 4046,
       "zero": false
      },
      "abdk": {
       "value": "0.000000999999500000243145281242362898410647176206",
       "digits": 13,
       "digitsFormat": 13,
       "exact": false,
       "agree": 12,
       "errUlps": "-1.66367",
       "relErr": "-9.01878e-14",
       "raw": "18446734850342",
       "gas": 7282,
       "zero": false
      },
      "solady": {
       "value": "0.0000009999995",
       "digits": 12,
       "digitsFormat": 12,
       "exact": false,
       "agree": 7,
       "errUlps": "-0.333333",
       "relErr": "-3.33333e-13",
       "raw": "999999500000",
       "gas": 719,
       "zero": false
      },
      "prb": {
       "value": "0.000000999999499992",
       "digits": 11,
       "digitsFormat": 11,
       "exact": false,
       "agree": 6,
       "errUlps": "-8.33333",
       "relErr": "-8.33334e-12",
       "raw": "999999499992",
       "gas": 6881,
       "zero": false
      },
      "quad": {
       "value": "0.000000999999500000333333083333533290773356666704",
       "digits": 28,
       "digitsFormat": 32,
       "exact": false,
       "agree": 27,
       "errUlps": null,
       "relErr": "-4.23933e-29",
       "raw": "84961805714495327552901816341337248757",
       "gas": 20183,
       "zero": false
      },
      "balancer": {
       "value": "0.0000009999995",
       "digits": 12,
       "digitsFormat": 12,
       "exact": false,
       "agree": 7,
       "errUlps": "-0.333333",
       "relErr": "-3.33333e-13",
       "raw": "999999500000",
       "gas": 1022,
       "zero": false
      },
      "aave": {
       "reverted": true,
       "reason": "0x7bb9ae15",
       "reasonName": "Unsupported(uint8): the library has no model for this scenario",
       "unsupported": true
      },
      "morpho": {
       "reverted": true,
       "reason": "0x7bb9ae15",
       "reasonName": "Unsupported(uint8): the library has no model for this scenario",
       "unsupported": true
      },
      "maker": {
       "reverted": true,
       "reason": "0x7bb9ae15",
       "reasonName": "Unsupported(uint8): the library has no model for this scenario",
       "unsupported": true
      }
     }
    },
    {
     "id": "ln(1+1e-9)",
     "args": [
      "1+1e-9"
     ],
     "why": "a per-second rate",
     "resolved": [
      "1.000000001"
     ],
     "truth": "0.000000000999999999500000000333333333083333333533333",
     "truthFormat": {
      "2**128": "0.000000000999999999500000000333333333081075762968678",
      "2**64": "0.000000000999999999461535130193908182835761036117695",
      "10**18": "0.000000000999999999500000000333333333083333333533333",
      "10**27": "0.000000000999999999500000000333333333083333333533333",
      "binary128": "0.000000000999999999500000000333333269677849278894773"
     },
     "cells": {
      "fp127": {
       "value": "0.000000000999999999500000000333333333082383718555279",
       "digits": 30,
       "digitsFormat": 29,
       "exact": false,
       "agree": 29,
       "errUlps": "-0.323137",
       "relErr": "-9.49615e-31",
       "raw": "340282366750797280116332831255",
       "gas": 4091,
       "zero": false
      },
      "fp127lib": {
       "value": "0.000000000999999999500000000333333333082383718555279",
       "digits": 30,
       "digitsFormat": 29,
       "exact": false,
       "agree": 29,
       "errUlps": "-0.323137",
       "relErr": "-9.49615e-31",
       "raw": "340282366750797280116332831255",
       "gas": 4046,
       "zero": false
      },
      "abdk": {
       "value": "0.000000000999999999419434043579357762610015925019979",
       "digits": 10,
       "digitsFormat": 10,
       "exact": false,
       "agree": 9,
       "errUlps": "-1.48618",
       "relErr": "-8.0566e-11",
       "raw": "18446744063",
       "gas": 7282,
       "zero": false
      },
      "solady": {
       "value": "0.000000000999999999",
       "digits": 9,
       "digitsFormat": 9,
       "exact": false,
       "agree": 9,
       "errUlps": "-0.5",
       "relErr": "-5.0e-10",
       "raw": "999999999",
       "gas": 719,
       "zero": false
      },
      "prb": {
       "value": "0.000000000999999995",
       "digits": 8,
       "digitsFormat": 8,
       "exact": false,
       "agree": 8,
       "errUlps": "-4.5",
       "relErr": "-4.5e-9",
       "raw": "999999995",
       "gas": 6611,
       "zero": false
      },
      "quad": {
       "value": "0.000000000999999999500000000333333269674167741397235",
       "digits": 25,
       "digitsFormat": 29,
       "exact": false,
       "agree": 24,
       "errUlps": null,
       "relErr": "-6.34092e-26",
       "raw": "84910013417058346444368101972160779095",
       "gas": 21583,
       "zero": false
      },
      "balancer": {
       "value": "0.000000000999999999",
       "digits": 9,
       "digitsFormat": 9,
       "exact": false,
       "agree": 9,
       "errUlps": "-0.5",
       "relErr": "-5.0e-10",
       "raw": "999999999",
       "gas": 1022,
       "zero": false
      },
      "aave": {
       "reverted": true,
       "reason": "0x7bb9ae15",
       "reasonName": "Unsupported(uint8): the library has no model for this scenario",
       "unsupported": true
      },
      "morpho": {
       "reverted": true,
       "reason": "0x7bb9ae15",
       "reasonName": "Unsupported(uint8): the library has no model for this scenario",
       "unsupported": true
      },
      "maker": {
       "reverted": true,
       "reason": "0x7bb9ae15",
       "reasonName": "Unsupported(uint8): the library has no model for this scenario",
       "unsupported": true
      }
     }
    },
    {
     "id": "ln(1+1e-12)",
     "args": [
      "1+1e-12"
     ],
     "why": "",
     "resolved": [
      "1.000000000001"
     ],
     "truth": "0.000000000000999999999999500000000000333333333333083333",
     "truthFormat": {
      "2**128": "0.000000000000999999999999500000000000332064480599506675",
      "2**64": "0.000000000000999999996003697200254014931611635700757481",
      "10**18": "0.000000000000999998999999500000999999833332333334083334",
      "10**27": "0.000000000000999999999999499000000000334333333333082333",
      "binary128": "0.000000000000999999999999499999999904743802607703730508"
     },
     "cells": {
      "fp127": {
       "value": "0.000000000000999999999999500000000000331489299597048381",
       "digits": 26,
       "digitsFormat": 27,
       "exact": false,
       "agree": 26,
       "errUlps": "-0.627492",
       "relErr": "-1.84403e-27",
       "raw": "340282366920768322279914251",
       "gas": 4091,
       "zero": false
      },
      "fp127lib": {
       "value": "0.000000000000999999999999500000000000331489299597048381",
       "digits": 26,
       "digitsFormat": 27,
       "exact": false,
       "agree": 26,
       "errUlps": "-0.627492",
       "relErr": "-1.84403e-27",
       "raw": "340282366920768322279914251",
       "gas": 4046,
       "zero": false
      },
      "abdk": {
       "value": "0.000000000000999999941794088575974797095113899558782578",
       "digits": 7,
       "digitsFormat": 7,
       "exact": false,
       "agree": 7,
       "errUlps": "-1.0737",
       "relErr": "-5.82054e-8",
       "raw": "18446743",
       "gas": 7282,
       "zero": false
      },
      "solady": {
       "value": "0.000000000000999999",
       "digits": 6,
       "digitsFormat": 12,
       "exact": false,
       "agree": 6,
       "errUlps": "-1.0",
       "relErr": "-1.0e-6",
       "raw": "999999",
       "gas": 719,
       "zero": false
      },
      "prb": {
       "value": "0.000000000000999995",
       "digits": 5,
       "digitsFormat": 5,
       "exact": false,
       "agree": 5,
       "errUlps": "-5.0",
       "relErr": "-5.0e-6",
       "raw": "999995",
       "gas": 6491,
       "zero": false
      },
      "quad": {
       "value": "0.000000000000999999999999499999999904741887288688646131",
       "digits": 22,
       "digitsFormat": 26,
       "exact": false,
       "agree": 12,
       "errUlps": null,
       "relErr": "-9.55914e-23",
       "raw": "84858224252946974090474218200245158381",
       "gas": 22983,
       "zero": false
      },
      "balancer": {
       "value": "0.000000000000999998",
       "digits": 5,
       "digitsFormat": 5,
       "exact": false,
       "agree": 5,
       "errUlps": "-2.0",
       "relErr": "-2.0e-6",
       "raw": "999998",
       "gas": 1022,
       "zero": false
      },
      "aave": {
       "reverted": true,
       "reason": "0x7bb9ae15",
       "reasonName": "Unsupported(uint8): the library has no model for this scenario",
       "unsupported": true
      },
      "morpho": {
       "reverted": true,
       "reason": "0x7bb9ae15",
       "reasonName": "Unsupported(uint8): the library has no model for this scenario",
       "unsupported": true
      },
      "maker": {
       "reverted": true,
       "reason": "0x7bb9ae15",
       "reasonName": "Unsupported(uint8): the library has no model for this scenario",
       "unsupported": true
      }
     }
    },
    {
     "id": "ln(1+1e-15)",
     "args": [
      "1+1e-15"
     ],
     "why": "",
     "resolved": [
      "1.000000000000001"
     ],
     "truth": "9.99999999999999500000000000000333333333333e-16",
     "truthFormat": {
      "2**128": "9.99999999999999499999998214918803226935898e-16",
      "2**64": "9.99959663683380239525409221352721843756915e-16",
      "10**18": "9.99999999999999500000000000000333333333333e-16",
      "10**27": "9.99999999999999500000000000000333333333333e-16",
      "binary128": "9.9999999999999950009042311785580760306149e-16"
     },
     "cells": {
      "fp127": {
       "value": "9.99999999999999499999999568115921463793876e-16",
       "digits": 24,
       "digitsFormat": 23,
       "exact": false,
       "agree": 15,
       "errUlps": "-0.146963",
       "relErr": "-4.31884e-25",
       "raw": "340282366920938293322191",
       "gas": 4091,
       "zero": false
      },
      "fp127lib": {
       "value": "9.99999999999999499999999568115921463793876e-16",
       "digits": 24,
       "digitsFormat": 23,
       "exact": false,
       "agree": 15,
       "errUlps": "-0.146963",
       "relErr": "-4.31884e-25",
       "raw": "340282366920938293322191",
       "gas": 4046,
       "zero": false
      },
      "abdk": {
       "value": "9.99905453574756464263373345602303743362427e-16",
       "digits": 4,
       "digitsFormat": 4,
       "exact": false,
       "agree": 4,
       "errUlps": "-1.74407",
       "relErr": "-9.45464e-5",
       "raw": "18445",
       "gas": 7282,
       "zero": false
      },
      "solady": {
       "value": "1.0e-15",
       "digits": 15,
       "digitsFormat": 15,
       "exact": false,
       "agree": 0,
       "errUlps": "5.0e-13",
       "relErr": "5.0e-16",
       "raw": "1000",
       "gas": 719,
       "zero": false
      },
      "prb": {
       "value": "9.96e-16",
       "digits": 2,
       "digitsFormat": 2,
       "exact": false,
       "agree": 2,
       "errUlps": "-4.0",
       "relErr": "-0.004",
       "raw": "996",
       "gas": 6491,
       "zero": false
      },
      "quad": {
       "value": "9.99999999999999500090419847877841029513792e-16",
       "digits": 19,
       "digitsFormat": 23,
       "exact": false,
       "agree": 19,
       "errUlps": null,
       "relErr": "9.04198e-20",
       "raw": "84806438300140128437910406108514549871",
       "gas": 24383,
       "zero": false
      },
      "balancer": {
       "value": "9.99e-16",
       "digits": 3,
       "digitsFormat": 3,
       "exact": false,
       "agree": 3,
       "errUlps": "-1.0",
       "relErr": "-0.001",
       "raw": "999",
       "gas": 1022,
       "zero": false
      },
      "aave": {
       "reverted": true,
       "reason": "0x7bb9ae15",
       "reasonName": "Unsupported(uint8): the library has no model for this scenario",
       "unsupported": true
      },
      "morpho": {
       "reverted": true,
       "reason": "0x7bb9ae15",
       "reasonName": "Unsupported(uint8): the library has no model for this scenario",
       "unsupported": true
      },
      "maker": {
       "reverted": true,
       "reason": "0x7bb9ae15",
       "reasonName": "Unsupported(uint8): the library has no model for this scenario",
       "unsupported": true
      }
     }
    },
    {
     "id": "ln(1+1e-18)",
     "args": [
      "1+1e-18"
     ],
     "why": "the last digit of an 18-decimal grid",
     "resolved": [
      "1.000000000000000001"
     ],
     "truth": "9.99999999999999999500000000000000000333333e-19",
     "truthFormat": {
      "2**128": "9.99999999999999999498899127700451055115263e-19",
      "2**64": "9.75781955236953990130632308699921099865562e-19",
      "10**18": "9.99999999999999999500000000000000000333333e-19",
      "10**27": "9.99999999999999999500000000000000000333333e-19",
      "binary128": "1.00000000000000007104242405462192443731897e-18"
     },
     "cells": {
      "fp127": {
       "value": "9.99999999999999999499314028600978863894116e-19",
       "digits": 21,
       "digitsFormat": 21,
       "exact": false,
       "agree": 18,
       "errUlps": "-0.233424",
       "relErr": "-6.85971e-22",
       "raw": "340282366920938463293",
       "gas": 4091,
       "zero": false
      },
      "fp127lib": {
       "value": "9.99999999999999999499314028600978863894116e-19",
       "digits": 21,
       "digitsFormat": 21,
       "exact": false,
       "agree": 18,
       "errUlps": "-0.233424",
       "relErr": "-6.85971e-22",
       "raw": "340282366920938463293",
       "gas": 4046,
       "zero": false
      },
      "abdk": {
       "value": "9.21571846612678768906334880739450454711914e-19",
       "digits": 1,
       "digitsFormat": 1,
       "exact": false,
       "agree": 1,
       "errUlps": "-1.44674",
       "relErr": "-0.0784282",
       "raw": "17",
       "gas": 7282,
       "zero": false
      },
      "solady": {
       "value": "1.0e-18",
       "digits": 18,
       "digitsFormat": 18,
       "exact": false,
       "agree": 0,
       "errUlps": "5.0e-19",
       "relErr": "5.0e-19",
       "raw": "1",
       "gas": 719,
       "zero": false
      },
      "prb": {
       "value": "0.0",
       "digits": 0,
       "digitsFormat": 0,
       "exact": false,
       "agree": 0,
       "errUlps": "-1.0",
       "relErr": "-1.0",
       "raw": "0",
       "gas": 6251,
       "zero": true
      },
      "quad": {
       "value": "1.00000000000000007104086851584870090284738e-18",
       "digits": 16,
       "digitsFormat": 20,
       "exact": false,
       "agree": 0,
       "errUlps": null,
       "relErr": "7.15409e-17",
       "raw": "84754655635711963931652996090401220815",
       "gas": 25783,
       "zero": false
      },
      "balancer": {
       "value": "0.0",
       "digits": 0,
       "digitsFormat": 0,
       "exact": false,
       "agree": 0,
       "errUlps": "-1.0",
       "relErr": "-1.0",
       "raw": "0",
       "gas": 1022,
       "zero": true
      },
      "aave": {
       "reverted": true,
       "reason": "0x7bb9ae15",
       "reasonName": "Unsupported(uint8): the library has no model for this scenario",
       "unsupported": true
      },
      "morpho": {
       "reverted": true,
       "reason": "0x7bb9ae15",
       "reasonName": "Unsupported(uint8): the library has no model for this scenario",
       "unsupported": true
      },
      "maker": {
       "reverted": true,
       "reason": "0x7bb9ae15",
       "reasonName": "Unsupported(uint8): the library has no model for this scenario",
       "unsupported": true
      }
     }
    },
    {
     "id": "ln(1-1e-12)",
     "args": [
      "1-1e-12"
     ],
     "why": "",
     "resolved": [
      "0.999999999999"
     ],
     "truth": "-0.00000000000100000000000050000000000033333333333358333",
     "truthFormat": {
      "2**128": "-0.00000000000100000000000050000000000033500321647706279",
      "2**64": "-0.00000000000100000005021480582457545513627782668888376",
      "10**18": "-0.00000000000100000000000050000000000033333333333358333",
      "10**27": "-0.00000000000100000000000050000000000033333333333358333",
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    {
     "id": "mul(1e19,1e19)",
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  {
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   "label": "W0(x)",
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       "reasonName": "Unsupported(uint8): the library has no model for this scenario",
       "unsupported": true
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     }
    },
    {
     "id": "lambertW0(1e30)",
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      "1e30"
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     "why": "",
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      "1000000000000000000000000000000.0"
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    },
    {
     "id": "lambertW0(1e38)",
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  {
   "id": "lambertWm1",
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   "label": "W-1(x)",
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   "why": "The secondary branch, toward zero from below; FP127 only.",
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    {
     "id": "lambertWm1(-1/e+1e-9)",
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      "-1/e+1e-9"
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    {
     "id": "lambertWm1(-1e-10)",
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    {
     "id": "lambertWm1(-1e-30)",
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      "-1.0e-30"
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     "truthFormat": {
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       "raw": "-24967575645858650569181378850958804744272",
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      "fp127lib": {
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      "balancer": {
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   ]
  },
  {
   "id": "log1p",
   "index": 8,
   "label": "log1p(x)",
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    "x"
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   "why": "ln(1 + x) as an op: the libraries without it compute ln(1 + x), and 1 + x is where x loses its digits.",
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    {
     "id": "log1p(1e-6)",
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      "1e-6"
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     "why": "",
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      "0.000001"
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     "truth": "0.000000999999500000333333083333533333166666809524",
     "truthFormat": {
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     "cells": {
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      "solady": {
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      "prb": {
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      "quad": {
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       "raw": "999999500000",
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      "aave": {
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       "reason": "0x7bb9ae15",
       "reasonName": "Unsupported(uint8): the library has no model for this scenario",
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      "morpho": {
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       "reason": "0x7bb9ae15",
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       "unsupported": true
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      "maker": {
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       "reasonName": "Unsupported(uint8): the library has no model for this scenario",
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    },
    {
     "id": "log1p(1e-9)",
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      "1e-9"
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     "why": "a per-second rate",
     "resolved": [
      "0.000000001"
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     "truth": "0.000000000999999999500000000333333333083333333533333",
     "truthFormat": {
      "2**128": "0.000000000999999999500000000333333333081075762968678",
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     "cells": {
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       "raw": "340282366750797280116332831255",
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      "fp127lib": {
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       "errUlps": "-1.48618",
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       "raw": "18446744063",
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      "solady": {
       "value": "0.000000000999999998",
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       "agree": 8,
       "errUlps": "-1.5",
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       "raw": "999999998",
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      "prb": {
       "value": "0.000000000999999993",
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       "errUlps": "-6.5",
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       "raw": "999999993",
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      "quad": {
       "value": "0.000000000999999999500000000333333269674167741397235",
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    },
    {
     "id": "expm1(1e-20)",
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      "1.0e-20"
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    {
     "id": "expm1(-1e-9)",
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    {
     "id": "expm1(-40)",
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    {
     "id": "expm1(-88)",
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    {
     "id": "expm1(20)",
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      "20"
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  {
   "id": "compound",
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   "label": "compound(r, n)",
   "args": [
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   "why": "(1 + r)^n for an integer n: per-second rates over years. FP127 and Maker take an exact integer power; the rest exp(n ln(1 + r)).",
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     "id": "compound(0.05/31536000,31536000)",
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      "31536000"
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     "why": "5% APR per second, one year",
     "resolved": [
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      "solady": {
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   ]
  },
  {
   "id": "powu",
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   "label": "powu(x, n)",
   "args": [
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   "why": "An integer power. Solady's rpow, PRBMath's powu, ABDK's pow and Maker's rpow square at the format's precision; FP127 on a 256-bit mantissa.",
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      "2",
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     "resolved": [
      "2.0",
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      "binary128": "1024.0"
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      "prb": {
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     }
    },
    {
     "id": "powu(1.0001,887272)",
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     "why": "Uniswap's top tick",
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    },
    {
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    },
    {
     "id": "powu(0.999999,1000000)",
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     "resolved": [
      "0.999999",
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    },
    {
     "id": "powu(1+0.05/31536000,31536000)",
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    },
    {
     "id": "powu(10,38)",
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     "why": "",
     "resolved": [
      "10.0",
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     "truth": "100000000000000000000000000000000000000.0",
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    },
    {
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      "-10.0"
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   ]
  }
 ],
 "liveRunner": "0x4A32B0f99FC1e888bB9e5cb85399aDd7890B0957",
 "liveSelector": "0xf833b7d5",
 "liveNote": "Every cell was re-run through the live EdgeRunner on Sepolia by scripts/ladder/liveedges.py; the verify button repeats that call."
}