failed attempt to save even more gas in balanced pair by interpolating from a lookup table

test/Deploy.sol

@@ -1,6 +1,7 @@
 // SPDX-License-Identifier: UNLICENSED
 pragma solidity ^0.8.30;
 
+import {ABDKMath64x64} from "../lib/abdk-libraries-solidity/ABDKMath64x64.sol";
 import {IERC20} from "../lib/openzeppelin-contracts/contracts/token/ERC20/IERC20.sol";
 import {NativeWrapper} from "../src/NativeWrapper.sol";
 import {PartyPlanner} from "../src/PartyPlanner.sol";
@@ -66,23 +67,31 @@ library Deploy {
         NativeWrapper wrapper,
         bool _stable
     ) internal returns (PartyPool) {
-        return _stable && tokens_.length == 2 ?
-        new PartyPoolBalancedPair(
-            owner_,
-            name_,
-            symbol_,
-            tokens_,
-            bases_,
-            _kappa,
-            _swapFeePpm,
-            _flashFeePpm,
-            PROTOCOL_FEE_PPM,
-            PROTOCOL_FEE_RECEIVER,
-            wrapper,
-            new PartyPoolSwapImpl(wrapper),
-            new PartyPoolMintImpl(wrapper)
-        ) :
-        new PartyPool(
+        if(_stable && tokens_.length == 2) {
+            PartyPoolBalancedPair pool = new PartyPoolBalancedPair(
+                owner_,
+                name_,
+                symbol_,
+                tokens_,
+                bases_,
+                _kappa,
+                _swapFeePpm,
+                _flashFeePpm,
+                PROTOCOL_FEE_PPM,
+                PROTOCOL_FEE_RECEIVER,
+                wrapper,
+                new PartyPoolSwapImpl(wrapper),
+                new PartyPoolMintImpl(wrapper)
+            );
+            pool.precompute(
+                ABDKMath64x64.divu(25,10_000), // ±25 bps
+                ABDKMath64x64.divu(10, 100), // taking up to 10% of the pool
+                20, // num Δ samples
+                20  // num α samples
+            );
+            return pool;
+        }
+        return new PartyPool(
             owner_,
             name_,
             symbol_,