diff --git a/lib/generics/generics.js b/lib/generics/generics.js
index 343c765..10733c2 100644
--- a/lib/generics/generics.js
+++ b/lib/generics/generics.js
@@ -68,10 +68,12 @@ export const mergeTwoWay = (m1, m2) => {
   checkConflict(m1, m2);
   // checkConflict(m2, m1); // <- don't think this is necessary...
   // actually merge
-  let stable = false;
-  while (!stable) {
+  let remaining = 2;
+  while (remaining > 0) {
     // notice we swap m2 and m1, so the rewriting can happen both ways:
+    let stable;
     [stable, m2, m1] = mergeOneWay(m1, m2);
+    remaining -= stable;
   }
   const result = new Map([...m1, ...m2]);
   // console.log("mergeTwoWay result =", result);
@@ -187,8 +189,7 @@ export const substitute = (type, substitutions, stack=[]) => {
 };
 
 export const assignFn = (funType, paramType) => {
-  const [outType] = assignFnSubstitutions(funType, paramType);
-  return outType;
+  return assignFnSubstitutions(funType, paramType)[2];
 };
 
 // same as above, but also returns the substitutions that took place
@@ -197,12 +198,13 @@ export const assignFnSubstitutions = (funType, paramType) => {
     throw new NotAFunctionError(`${prettyT(funType)} is not a function type!`);
   }
   const [[refunType, funS], [reparamType, paramS]] = recomputeTypeVarsSubstitutions([funType, paramType]);
+  const recomputationSubstitutions = mergeTwoWay(funS, paramS);
   const [inType, outType] = refunType.params.map(p => p(refunType));
-  const {substitutions} = __unify(inType, reparamType);
-  // console.log(substitutions, prettyT(outType));
+  const {type: newInType, substitutions} = __unify(inType, reparamType);
+  const inTypeSubst = mergeTwoWay(substitutions, recomputationSubstitutions);
   const substitutedFnType = substitute(outType, substitutions);
-  const computedOutType = recomputeTypeVars([substitutedFnType])[0];
-  return [computedOutType, substitutions];
+  const [computedOutType, outSubst] = recomputeTypeVarsSubstitutions([substitutedFnType])[0];
+  return [newInType, inTypeSubst, computedOutType, outSubst];
 };
 
 // Ensures that no type variables overlap
diff --git a/tests/generics.js b/tests/generics.js
index 97fa238..72c040d 100644
--- a/tests/generics.js
+++ b/tests/generics.js
@@ -1,7 +1,8 @@
 import assert from "node:assert";
-import { assignFn, makeGeneric, unify, UnifyError } from "../lib/generics/generics.js";
+import { assignFn, assignFnSubstitutions, makeGeneric, unify, UnifyError } from "../lib/generics/generics.js";
 import { getDefaultTypeParser } from "../lib/parser/type_parser.js";
 import { prettyT } from "../lib/util/pretty.js";
+import { TYPE_VARS, UNBOUND_SYMBOLS } from "../lib/primitives/typevars.js";
 
 const mkType = getDefaultTypeParser();
 
@@ -65,3 +66,16 @@ assert.throws(
   // expected error
   UnifyError,
 );
+
+const [inType, inSubst, outType, outSubst] = assignFnSubstitutions(
+  mkType("Int -> Int"),
+  mkType("b"),
+);
+
+assert.equal(prettyT(inType), "Int");
+assert.equal(prettyT(outType), "Int");
+assert.equal(inSubst.size, 1);
+assert.equal(prettyT(
+  inSubst.get(UNBOUND_SYMBOLS[1]) // b
+), "Int")
+assert.equal(outSubst.size, 0);
\ No newline at end of file