diff --git a/packages/squiggle-lang/__tests__/Reducer/Reducer_Peggy/Reducer_Peggy_Parse_test.res b/packages/squiggle-lang/__tests__/Reducer/Reducer_Peggy/Reducer_Peggy_Parse_test.res
index 55611d3a..1e1ba209 100644
--- a/packages/squiggle-lang/__tests__/Reducer/Reducer_Peggy/Reducer_Peggy_Parse_test.res
+++ b/packages/squiggle-lang/__tests__/Reducer/Reducer_Peggy/Reducer_Peggy_Parse_test.res
@@ -197,7 +197,7 @@ describe("Peggy parse", () => {
 
   describe("lambda", () => {
     testParse("{|x| x}", "{{|:x| :x}}")
-    testParse("f={|x| x}", "{:f = {{|:x| :x}}}")
+    testParse("f={|x| x}", "{:f = {|:x| :x}}")
     testParse("f(x)=x", "{:f = {|:x| {:x}}}") // Function definitions are lambda assignments
     testParse("f(x)=x ? 1 : 0", "{:f = {|:x| {(::$$_ternary_$$ :x 1 0)}}}") // Function definitions are lambda assignments
   })
diff --git a/packages/squiggle-lang/__tests__/Reducer/Reducer_Peggy/Reducer_Peggy_ToExpression_test.res b/packages/squiggle-lang/__tests__/Reducer/Reducer_Peggy/Reducer_Peggy_ToExpression_test.res
index cab84681..daeab3f0 100644
--- a/packages/squiggle-lang/__tests__/Reducer/Reducer_Peggy/Reducer_Peggy_ToExpression_test.res
+++ b/packages/squiggle-lang/__tests__/Reducer/Reducer_Peggy/Reducer_Peggy_ToExpression_test.res
@@ -135,7 +135,7 @@ describe("Peggy to Expression", () => {
 
   describe("lambda", () => {
     testToExpression("{|x| x}", "{|x| x}", ~v="lambda(x=>internal code)", ())
-    testToExpression("f={|x| x}", "f = {{|x| x}}", ())
+    testToExpression("f={|x| x}", "f = {|x| x}", ())
     testToExpression("f(x)=x", "f = {|x| {x}}", ()) // Function definitions are lambda assignments
     testToExpression("f(x)=x ? 1 : 0", "f = {|x| {x ? (1) : (0)}}", ())
   })
diff --git a/packages/squiggle-lang/__tests__/Reducer/Reducer_test.res b/packages/squiggle-lang/__tests__/Reducer/Reducer_test.res
index 2743b51d..381c4a81 100644
--- a/packages/squiggle-lang/__tests__/Reducer/Reducer_test.res
+++ b/packages/squiggle-lang/__tests__/Reducer/Reducer_test.res
@@ -102,7 +102,7 @@ describe("stacktraces", () => {
     )->toBe(`Error: There are function matches for add(), but with different arguments: [add(number, number)]; [add(distribution, number)]; [add(number, distribution)]; [add(distribution, distribution)]; [add(date, duration)]; [add(duration, duration)]
 Stack trace:
   f at line 4, column 5
-  <anonymous> at line 6, column 12
+  g at line 6, column 12
   h at line 7, column 10
   <top> at line 8, column 3
 `)
diff --git a/packages/squiggle-lang/src/rescript/Reducer/Reducer_Peggy/Reducer_Peggy_GeneratedParser.peggy b/packages/squiggle-lang/src/rescript/Reducer/Reducer_Peggy/Reducer_Peggy_GeneratedParser.peggy
index 10c64283..7bb01c56 100644
--- a/packages/squiggle-lang/src/rescript/Reducer/Reducer_Peggy/Reducer_Peggy_GeneratedParser.peggy
+++ b/packages/squiggle-lang/src/rescript/Reducer/Reducer_Peggy/Reducer_Peggy_GeneratedParser.peggy
@@ -7,7 +7,7 @@
 start
   = _nl start:outerBlock _nl finalComment?  {return start}
 
-zeroOMoreArgumentsBlockOrExpression = innerBlockOrExpression / lambda
+zeroOMoreArgumentsBlockOrExpression = lambda / innerBlockOrExpression
 
 outerBlock 
   = statements:array_statements  finalExpression: (statementSeparator @expression)?
diff --git a/packages/squiggle-lang/src/rescript/Reducer/Reducer_Peggy/helpers.ts b/packages/squiggle-lang/src/rescript/Reducer/Reducer_Peggy/helpers.ts
index 6253b875..15597ea0 100644
--- a/packages/squiggle-lang/src/rescript/Reducer/Reducer_Peggy/helpers.ts
+++ b/packages/squiggle-lang/src/rescript/Reducer/Reducer_Peggy/helpers.ts
@@ -228,7 +228,9 @@ export function nodeLetStatement(
   value: AnyPeggyNode,
   location: LocationRange
 ): NodeLetStatement {
-  return { type: "LetStatement", variable, value, location };
+  const patchedValue =
+    value.type === "Lambda" ? { ...value, name: variable.value } : value;
+  return { type: "LetStatement", variable, value: patchedValue, location };
 }
 export function nodeModuleIdentifier(value: string, location: LocationRange) {
   return { type: "ModuleIdentifier", value, location };