diff --git a/hal_test.go b/hal_test.go
index 642320c..0f72bd1 100644
--- a/hal_test.go
+++ b/hal_test.go
@@ -72,39 +72,49 @@ func TestNewton1(t *testing.T) {
 	input := []string{
 		"01 START",
 		"02 LOADNUM 1",
-		"03 STORE 10",
-		"10 MUL 10",
-		"11 MUL 10",
-		"12 STORE 12",
-		"13 MUL 10",
-		"14 MUL 10",
-		"15 STORE 11",
-		"21 LOAD 12",
-		"22 MULNUM 5",
-		"30 ADD 11",
-		"31 SUBNUM 5",
-		"32 STORE 20",
-		"33 SUB 50",
-		"34 JUMPNULL 66",
-		"35 LOAD 20",
-		"36 STORE 50",
-		"40 LOAD 10",
-		"41 MUL 10",
-		"42 STORE 21",
-		"43 MUL 10",
-		"44 MUL 10",
-		"45 MULNUM 5",
-		"46 STORE 22",
-		"47 LOAD 21",
-		"48 MULNUM 15",
-		"49 ADD 22",
-		"50 STORE 30",
-		"60 LOAD 20",
+		"03 STORE 10", // Every x is saved to reg 10
+
+		// f(x)
+		"10 MUL 10",   // x²
+		"11 MUL 10",   // x³
+		"12 STORE 12", // Saving x³ for later
+		"13 MUL 10",   // x⁴
+		"14 MUL 10",   // x⁵
+		"15 STORE 11", // Save x⁵ in reg 11
+		"21 LOAD 12",  // Load x³
+		"22 MULNUM 5", // x³ * 5
+		"30 ADD 11",   // (x³ * 5) + x⁵
+		"31 SUBNUM 5", // ((x³ * 5) + x⁵) - 5
+		"32 STORE 20", // Store the result of f(x) in 20
+
+		// Exit condition
+		"33 SUB 50",      // reg 50 contains the last result which we compare with the last one
+		"34 JUMPNULL 66", // If both are equal, we go to line 66
+		"35 LOAD 20",     // Otherwise save the last result of f(x) as last result
+		"36 STORE 50",    // and continue
+
+		// f'(x)
+		"40 LOAD 10",   // Load x
+		"41 MUL 10",    // x²
+		"42 STORE 21",  // Save x² for later
+		"43 MUL 10",    // x³
+		"44 MUL 10",    // x⁴
+		"45 MULNUM 5",  // x⁴ * 5
+		"46 STORE 22",  // Save 5x⁴ to reg 22
+		"47 LOAD 21",   // load x² from earlier
+		"48 MULNUM 15", // x² * 15
+		"49 ADD 22",    // 15x² + 5x⁴ from earlier
+		"50 STORE 30",  // Save the result of f'(x) to reg 30
+
+		// x - (f(x) / f'(x))
+		"60 LOAD 20", // f(x) / f'(x)
 		"61 DIV 30",
-		"62 STORE 40",
-		"63 LOAD 10",
-		"64 SUB 40",
-		"65 JUMP 03",
+		"62 STORE 40", // Store the result of it in reg 40
+		"63 LOAD 10",  // Load the x again
+		"64 SUB 40",   // x - (f(x) / f'(x))
+		"65 JUMP 03",  // Start at the beginning
+
+		// Load the result and print it
 		"66 LOAD 10",
 		"67 OUT 0",
 		"68 STOP",