203 lines
4.9 KiB
Markdown
203 lines
4.9 KiB
Markdown
# Mathematical Audit - Quick Reference Guide
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**Audit Date**: November 1, 2025
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**Status**: CRITICAL ISSUES IDENTIFIED
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**Documents**:
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- Full Report: `MATHEMATICAL_AUDIT_DETAILED_20251101.md`
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- Fix Examples: `MATH_FIX_EXAMPLES_20251101.md`
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- Summary: `../MATHEMATICAL_AUDIT_SUMMARY.txt`
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---
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## Critical Issues at a Glance
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### 🔴 Issue #1: Slippage Formula Completely Wrong
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```
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File: pkg/profitcalc/slippage_protection.go:59-67
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Formula: slippage = tradeSize / 2.0
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Correct: Use Uniswap V2 constant product invariant
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Impact: Slippage estimates are 2-5x off actual
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Severity: CRITICAL - Causes loss approvals
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```
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### 🔴 Issue #2: Float-to-Int Truncation Rejects Valid Profits
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```
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File: pkg/profitcalc/profit_calc.go:214-216
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Problem: netProfit.Int(nil) removes all decimals
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Impact: 0.00005 ETH profit (valid) becomes 0 (rejected)
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Severity: CRITICAL - Rejects legitimate opportunities
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```
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### 🔴 Issue #3: Arbitrary 100% Profit Margin Cap
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```
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File: pkg/profitcalc/profit_calc.go:199-210
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Problem: Rejects opportunities with >100% profit
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Impact: Rejects all high-margin valid arbitrage
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Severity: CRITICAL - Mathematically invalid
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```
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### 🟠 Issue #4: Price Impact Misses Fee Deduction
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```
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File: pkg/math/exchange_math.go:128-146
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Problem: Uses raw amountIn, not fee-adjusted amount
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Impact: Underestimates price impact by 0.3-2%
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Severity: HIGH - Leads to wrong risk assessment
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```
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### 🟠 Issue #5: Arbitrary 20% Gas Buffer
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```
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File: pkg/profitcalc/profit_calc.go:271-273
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Problem: No dynamic adjustment based on network state
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Impact: Profit underestimation of ~1-5%
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Severity: MEDIUM - Systematic bias
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```
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---
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## What This Means
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| Current State | After Fixes |
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|---|---|
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| Rejects >100% profit margins | Accepts all valid margins |
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| Slippage off by 2-5x | Accurate slippage estimation |
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| Rejects tiny profits (<1 wei) | Accepts all valid profits |
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| Gas costs overestimated 20% | Dynamic, accurate gas cost |
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| Risk assessment unreliable | Trustworthy risk assessment |
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---
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## Files Needing Fixes
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### Must Fix (Immediate)
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- `pkg/profitcalc/profit_calc.go` - Lines 199-210, 214-216, 271-273
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- `pkg/profitcalc/slippage_protection.go` - Lines 56, 59-67
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- `pkg/math/exchange_math.go` - Lines 128-146
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### Should Fix (Soon)
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- `pkg/math/decimal_handler.go` - Lines 54-58, 308-312
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- `pkg/uniswap/pricing.go` - Lines 22-45
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---
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## Quick Fix Checklist
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- [ ] Remove 100% profit margin cap
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- [ ] Fix float-to-int profit threshold comparison
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- [ ] Implement proper slippage formula
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- [ ] Add fee adjustment to price impact
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- [ ] Add division-by-zero checks
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- [ ] Test against known Arbitrum DEX prices
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- [ ] Create test cases for edge cases
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- [ ] Document all changes
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- [ ] Code review by team
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- [ ] Deploy with monitoring
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---
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## Testing Requirements
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Create tests for:
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```go
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✓ High profit margins (>100%)
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✓ Small profits (<0.001 ETH)
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✓ Very large trades (>50% pool)
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✓ Zero/near-zero liquidity
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✓ Fee-adjusted calculations
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✓ Different fee tiers (0.01%, 0.3%, 1%)
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✓ Slippage vs known values
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```
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---
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## Code Snippets
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### WRONG - Profit Margin Cap
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```go
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if profitMarginFloat > 1.0 {
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opportunity.IsExecutable = false // ❌ Wrong!
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}
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```
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### RIGHT - No Arbitrary Cap
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```go
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if !math.IsNaN(profitMarginFloat) && profitMarginFloat >= 0 {
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opportunity.ProfitMargin = profitMarginFloat // ✓ Correct
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}
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```
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### WRONG - Slippage Formula
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```go
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estimatedSlippage := tradeSizeFloat / 2.0 // ❌ Wrong!
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```
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### RIGHT - Proper Formula
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```go
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// Use: slippage = tradeSize / (2*liquidity + tradeSize)
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// Or implement actual AMM calculation
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```
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### WRONG - Type Conversion
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```go
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netProfitWei, _ := netProfit.Int(nil) // ❌ Truncates decimals!
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```
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### RIGHT - Keep as Float
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```go
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if netProfit.Cmp(minThresholdAsFloat) >= 0 { // ✓ Preserves precision
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// Execute
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}
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```
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---
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## Impact on Operations
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### Before Fixes
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- ❌ Many profitable opportunities are rejected
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- ❌ Slippage estimates are unreliable
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- ❌ Gas cost assumptions are wrong
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- ❌ High-margin trades deemed "unrealistic"
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### After Fixes
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- ✅ All valid opportunities are considered
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- ✅ Accurate risk assessment
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- ✅ Dynamic gas estimation
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- ✅ Correct profit calculations
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---
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## Next Actions
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1. **Immediate** (Today)
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- Review this audit
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- Understand the implications
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- Plan fix implementation
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2. **Short-term** (This week)
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- Create fix branches
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- Implement critical fixes
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- Add test cases
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- Code review
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3. **Medium-term** (This month)
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- Validate against real data
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- Monitor in staging
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- Deploy to production
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- Monitor metrics
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---
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## Resources
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- **Detailed Analysis**: MATHEMATICAL_AUDIT_DETAILED_20251101.md
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- **Code Examples**: MATH_FIX_EXAMPLES_20251101.md
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- **Full Summary**: ../MATHEMATICAL_AUDIT_SUMMARY.txt
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- **Uniswap Docs**: https://docs.uniswap.org/
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- **AMM Formulas**: https://github.com/Uniswap/v3-periphery
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---
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**Generated**: November 1, 2025
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**Status**: Ready for implementation
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**Questions**: See detailed audit document
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