diff --git a/lexer_test.go b/lexer_test.go
index 9390de3..91e880b 100644
--- a/lexer_test.go
+++ b/lexer_test.go
@@ -43,7 +43,7 @@ var lexTests = []lexTest{
 	{"colon3", ":::", tokens{{kind: tokenOperator, data: ":::"}}, ""},
 	{"arrow right", "->", tokens{{kind: tokenOperator, data: "->"}}, ""},
 	{"less than minus", "<-", tokens{{kind: tokenOperator, data: "<"},
-                                     {kind: tokenOperator, data: "-"}}, ""},
+		{kind: tokenOperator, data: "-"}}, ""},
 	{"comma", ",", tokens{{kind: tokenComma, data: ","}}, ""},
 	{"dollar", "$", tokens{{kind: tokenDollar, data: "$"}}, ""},
 	{"dot", ".", tokens{{kind: tokenDot, data: "."}}, ""},
diff --git a/parser.go b/parser.go
index 7f43b49..44d9721 100644
--- a/parser.go
+++ b/parser.go
@@ -24,10 +24,9 @@ import (
 type precedence int
 
 const (
-	applyPrecedence      precedence = 2  // Function calls and indexing.
-	unaryPrecedence      precedence = 4  // Logical and bitwise negation, unary + -
-	beforeElsePrecedence precedence = 15 // True branch of an if.
-	maxPrecedence        precedence = 16 // Local, If, Import, Function, Error
+	applyPrecedence precedence = 2  // Function calls and indexing.
+	unaryPrecedence precedence = 4  // Logical and bitwise negation, unary + -
+	maxPrecedence   precedence = 16 // Local, If, Import, Function, Error
 )
 
 var bopPrecedence = map[binaryOp]precedence{
@@ -189,6 +188,9 @@ func (p *parser) parseBind(binds *astLocalBinds) error {
 		})
 	} else {
 		_, err = p.popExpectOp("=")
+		if err != nil {
+			return err
+		}
 		body, err := p.parse(maxPrecedence)
 		if err != nil {
 			return err
@@ -248,7 +250,6 @@ func (p *parser) parseObjectRemainder(tok *token) (astNode, *token, error) {
 	literalFields := make(literalFieldSet)
 	binds := make(identifierSet)
 
-	_ = "breakpoint"
 	gotComma := false
 	first := true
 
@@ -914,6 +915,7 @@ func (p *parser) parse(prec precedence) (astNode, error) {
 			// the operator.
 			switch p.peek().kind {
 			case tokenOperator:
+				_ = "breakpoint"
 				if p.peek().data == ":" {
 					// Special case for the colons in assert. Since COLON is no-longer a
 					// special token, we have to make sure it does not trip the
@@ -939,8 +941,74 @@ func (p *parser) parse(prec precedence) (astNode, error) {
 			default:
 				return lhs, nil
 			}
-		}
 
+			op := p.pop()
+			switch op.kind {
+			case tokenBracketL:
+				index, err := p.parse(maxPrecedence)
+				if err != nil {
+					return nil, err
+				}
+				end, err := p.popExpect(tokenBracketR)
+				if err != nil {
+					return nil, err
+				}
+				lhs = &astIndex{
+					astNodeBase: astNodeBase{loc: locFromTokens(begin, end)},
+					target:      lhs,
+					index:       index,
+				}
+			case tokenDot:
+				fieldID, err := p.popExpect(tokenIdentifier)
+				if err != nil {
+					return nil, err
+				}
+				id := identifier(fieldID.data)
+				lhs = &astIndex{
+					astNodeBase: astNodeBase{loc: locFromTokens(begin, fieldID)},
+					target:      lhs,
+					id:          &id,
+				}
+			case tokenParenL:
+				end, args, gotComma, err := p.parseCommaList(tokenParenR, "function argument")
+				if err != nil {
+					return nil, err
+				}
+				tailStrict := false
+				if p.peek().kind == tokenTailStrict {
+					p.pop()
+					tailStrict = true
+				}
+				lhs = &astApply{
+					astNodeBase:   astNodeBase{loc: locFromTokens(begin, end)},
+					target:        lhs,
+					arguments:     args,
+					trailingComma: gotComma,
+					tailStrict:    tailStrict,
+				}
+			case tokenBraceL:
+				obj, end, err := p.parseObjectRemainder(op)
+				if err != nil {
+					return nil, err
+				}
+				lhs = &astApplyBrace{
+					astNodeBase: astNodeBase{loc: locFromTokens(begin, end)},
+					left:        lhs,
+					right:       obj,
+				}
+			default:
+				rhs, err := p.parse(prec - 1)
+				if err != nil {
+					return nil, err
+				}
+				lhs = &astBinary{
+					astNodeBase: astNodeBase{loc: locFromTokenAST(begin, rhs)},
+					left:        lhs,
+					op:          bop,
+					right:       rhs,
+				}
+			}
+		}
 	}
 }
 
diff --git a/parser_test.go b/parser_test.go
index d84e7bb..02c0d8e 100644
--- a/parser_test.go
+++ b/parser_test.go
@@ -22,14 +22,90 @@ import (
 	"github.com/kr/pretty"
 )
 
-func TestParser(t *testing.T) {
-	tokens, err := lex("test", `{hello: "world"}`)
-	if err != nil {
-		t.Errorf("Unexpected lex error: %v", err)
-	}
-	ast, err := parse(tokens)
-	if err != nil {
-		t.Errorf("Unexpected parse error: %v", err)
-	}
-	fmt.Printf("%# v", pretty.Formatter(ast))
+var tests = []string{
+	`true`,
+	`1`,
+	`1.2e3`,
+	`!true`,
+	`null`,
+
+	`$.foo.bar`,
+	`self.foo.bar`,
+	`super.foo.bar`,
+	`super[1]`,
+	`error "Error!"`,
+
+	`"world"`,
+	`'world'`,
+	`|||
+   world
+|||`,
+
+	`foo(bar)`,
+	`foo.bar`,
+	`foo[bar]`,
+
+	`true || false`,
+	`0 && 1 || 0`,
+	`0 && (1 || 0)`,
+
+	`local foo = "bar"; foo`,
+	`local foo(bar) = bar; foo(1)`,
+	`{ local foo = "bar", baz: 1}`,
+	`{ local foo(bar) = bar, baz: foo(1)}`,
+
+	`{ foo(bar, baz): bar+baz }`,
+
+	`{ ["foo" + "bar"]: 3 }`,
+	`{ ["field" + x]: x for x in [1, 2, 3] }`,
+	`{ ["field" + x]: x for x in [1, 2, 3] if x <= 2 }`,
+	`{ ["field" + x + y]: x + y for x in [1, 2, 3] if x <= 2 for y in [4, 5, 6]}`,
+
+	`[]`,
+	`[a, b, c]`,
+	`[x for x in [1,2,3] ]`,
+	`[x for x in [1,2,3] if x <= 2]`,
+	`[x+y for x in [1,2,3] if x <= 2 for y in [4, 5, 6]]`,
+
+	`{}`,
+	`{ hello: "world" }`,
+	`{ hello +: "world" }`,
+	`{
+  hello: "world",
+	"name":: joe,
+	'mood'::: "happy",
+	|||
+	  key type
+|||: "block",
+}`,
+
+	`assert true: 'woah!'; true`,
+	`{ assert true: 'woah!', foo: bar }`,
+
+	`if n > 1 then 'foos' else 'foo'`,
+
+	`local foo = function(x) x + 1; true`,
+
+	`import 'foo.jsonnet'`,
+	`importstr 'foo.text'`,
+
+	`{a: b} + {c: d}`,
+	`{a: b}{c: d}`,
+}
+
+func TestParser(t *testing.T) {
+	for _, s := range tests {
+		tokens, err := lex("test", s)
+		if err != nil {
+			t.Errorf("Unexpected lex error\n  input: %v\n  error: %v", s, err)
+			continue
+		}
+		ast, err := parse(tokens)
+		if err != nil {
+			t.Errorf("Unexpected parse error\n  input: %v\n  error: %v", s, err)
+		}
+		if false {
+			fmt.Printf("input: %v\nast: %# v\n\n", s, pretty.Formatter(ast))
+		}
+	}
 }