See reward tokens / yield on Aura Pools

Select the pool, navigate to the Info tab and open the Rewards Contract Address in etherscan

rewardRate is the reward rate for BAL per second
extraRewards(N) is the contract address for additional rewards (outside of AURA, BAL, ie. LDO, bb-a-USD)

AURA is minted pro-rata to BAL accrued.

The formula for determining how much AURA is emitted per BAL can be found here: https://etherscan.io/token/0xC0c293ce456fF0ED870ADd98a0828Dd4d2903DBF#code#F1#L85
A typescript implementation can be found here:

export const getAuraMintAmount = (
  balEarned: number,
  global: Omit<Global, 'auraMinter' | 'auraMinterMinted'>,
) => {
  const reductionPerCliff = BigNumber.from(global.auraReductionPerCliff);
  const maxSupply = BigNumber.from(global.auraMaxSupply);
  const totalSupply = BigNumber.from(global.auraTotalSupply);
  const totalCliffs = BigNumber.from(global.auraTotalCliffs);
  const minterMinted = BigNumber.from(0);
 
  // e.g. emissionsMinted = 6e25 - 5e25 - 0 = 1e25;
  const emissionsMinted = totalSupply.sub(maxSupply).sub(minterMinted);
 
  // e.g. reductionPerCliff = 5e25 / 500 = 1e23
  // e.g. cliff = 1e25 / 1e23 = 100
  const cliff = emissionsMinted.div(reductionPerCliff);
 
  // e.g. 100 < 500
  if (cliff.lt(totalCliffs)) {
    // e.g. (new) reduction = (500 - 100) * 2.5 + 700 = 1700;
    // e.g. (new) reduction = (500 - 250) * 2.5 + 700 = 1325;
    // e.g. (new) reduction = (500 - 400) * 2.5 + 700 = 950;
    const reduction = totalCliffs.sub(cliff).mul(5).div(2).add(700);
    // e.g. (new) amount = 1e19 * 1700 / 500 =  34e18;
    // e.g. (new) amount = 1e19 * 1325 / 500 =  26.5e18;
    // e.g. (new) amount = 1e19 * 950 / 500  =  19e17;
    let amount = simpleToExact(balEarned).mul(reduction).div(totalCliffs);
 
    // e.g. amtTillMax = 5e25 - 1e25 = 4e25
    const amtTillMax = maxSupply.sub(emissionsMinted);
    if (amount.gt(amtTillMax)) {
      amount = amtTillMax;
    }
 
    return amount;
  }
 
  return BigNumber.from(0);
};

A solidity library implementation can be found here (AuraMining): https://etherscan.io/address/0x744Be650cea753de1e69BF6BAd3c98490A855f52

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export const getAuraMintAmount = ( balEarned: number, global: Omit<Global, 'auraMinter' | 'auraMinterMinted'>, ) => { const reductionPerCliff = BigNumber.from(global.auraReductionPerCliff); const maxSupply = BigNumber.from(global.auraMaxSupply); const totalSupply = BigNumber.from(global.auraTotalSupply); const totalCliffs = BigNumber.from(global.auraTotalCliffs); const minterMinted = BigNumber.from(0); // e.g. emissionsMinted = 6e25 - 5e25 - 0 = 1e25; const emissionsMinted = totalSupply.sub(maxSupply).sub(minterMinted); // e.g. reductionPerCliff = 5e25 / 500 = 1e23 // e.g. cliff = 1e25 / 1e23 = 100 const cliff = emissionsMinted.div(reductionPerCliff); // e.g. 100 < 500 if (cliff.lt(totalCliffs)) { // e.g. (new) reduction = (500 - 100) * 2.5 + 700 = 1700; // e.g. (new) reduction = (500 - 250) * 2.5 + 700 = 1325; // e.g. (new) reduction = (500 - 400) * 2.5 + 700 = 950; const reduction = totalCliffs.sub(cliff).mul(5).div(2).add(700); // e.g. (new) amount = 1e19 * 1700 / 500 = 34e18; // e.g. (new) amount = 1e19 * 1325 / 500 = 26.5e18; // e.g. (new) amount = 1e19 * 950 / 500 = 19e17; let amount = simpleToExact(balEarned).mul(reduction).div(totalCliffs); // e.g. amtTillMax = 5e25 - 1e25 = 4e25 const amtTillMax = maxSupply.sub(emissionsMinted); if (amount.gt(amtTillMax)) { amount = amtTillMax; } return amount; } return BigNumber.from(0); };