diff --git a/package.json5 b/package.json5
index 959a089..c6dd1cb 100644
--- a/package.json5
+++ b/package.json5
@@ -5,6 +5,8 @@
    main: 'index.ts',
    scripts: {
       'build-and-run': 'ttsc -b && node build',
+      'experiment-infer': 'tsc plugins/infer.ts && node plugins/infer.js ./src/generic/arithmetic.ts',
+      'experiment-infer-direct': 'tsc plugins/infer.ts && node plugins/infer.js ./src/generic/arithmeticDirect.ts',
       test: 'echo "Error: no test specified" && exit 1',
    },
    keywords: [
diff --git a/plugins/.gitignore b/plugins/.gitignore
new file mode 100644
index 0000000..a6c7c28
--- /dev/null
+++ b/plugins/.gitignore
@@ -0,0 +1 @@
+*.js
diff --git a/plugins/infer.ts b/plugins/infer.ts
new file mode 100644
index 0000000..03b792d
--- /dev/null
+++ b/plugins/infer.ts
@@ -0,0 +1,98 @@
+import { readFileSync } from "fs";
+import * as ts from "typescript";
+import { inspect } from 'util'
+
+/**
+ * # The idea
+ * 
+ * Create a TypeScript plugin which can replace structures like:
+ * 
+ *    infer(factoryFunction)
+ * 
+ * where `factoryFunction` is a mathjs factory function in TypeScript, with something like: 
+ * 
+ *    infer({ signature: factoryFunction })
+ * 
+ * where `signature` is a string containing the type of the factory function and its dependencies.
+ * 
+ * # How to run
+ * 
+ *     pnpm experiment-infer
+ *     pnpm experiment-infer-direct
+ * 
+ * # Read more
+ * 
+ * - https://github.com/microsoft/TypeScript/wiki/Writing-a-Language-Service-Plugin
+ * - https://github.com/Microsoft/TypeScript/wiki/Using-the-Compiler-API
+ * - https://github.com/Microsoft/TypeScript/wiki/Using-the-Language-Service-API
+ */
+
+export function infer(sourceFile: ts.SourceFile) {
+    recurse(sourceFile);
+
+    function getType(kind: number) {
+        switch(kind) {
+            case ts.SyntaxKind.NumberKeyword: return 'number'
+            case ts.SyntaxKind.StringKeyword: return 'string'
+            case ts.SyntaxKind.BooleanKeyword: return 'boolean'
+            default: return String(ts.SyntaxKind[kind]) // TODO: work out all types
+        }
+    }
+
+    function recurse(node: ts.Node) {
+        if (node.kind === ts.SyntaxKind.Identifier) {
+            console.log('Identifier', node['escapedText'], ts.SyntaxKind[node.kind])
+        }
+
+        // recognize a structure like:
+        //
+        //     export const square = infer(<T>(dep: {
+        //       multiply: (a: number, b: number) => number
+        //     }): (a: number) => number =>
+        //       z => dep.multiply(z, z)
+        //     )
+        if (node?.['name']?.kind === ts.SyntaxKind.Identifier && node?.['name']['escapedText'] === 'dep') {
+            console.log('dep', getType(node['type'].kind), node)
+
+            node['type']?.members?.forEach(member => {
+                console.log('member', {
+                    name: member.name.escapedText,
+                    parameters: member.type.parameters.map(parameter => {
+                        return parameter.name.escapedText + ': ' + getType(parameter.type.kind)
+                    }),
+                    returns: getType(member.type.type.kind)
+                })
+            })
+        }
+
+        // recognize a structure like:
+        //
+        //     export const square =
+        //      <T>(dep: Dependencies<'multiply' | 'unaryMinus', T>): Signature<'square', T> =>
+        //        z => dep.multiply(z, z)
+        if (node?.['name']?.kind === ts.SyntaxKind.Identifier && node?.['name']['escapedText'] === 'dep') {
+            // TODO
+        }
+
+        ts.forEachChild(node, recurse);
+    }
+}
+
+const fileNames = process.argv.slice(2);
+console.log('infer files', fileNames)
+fileNames.forEach(fileName => {
+    // Parse a file
+    const sourceFile = ts.createSourceFile(
+        fileName,
+        readFileSync(fileName).toString(),
+        ts.ScriptTarget.ES2022,
+        /*setParentNodes */ true
+    );
+
+    console.log('AST', fileName, inspect(sourceFile, { depth: null, colors: true }))
+
+    console.log(sourceFile.text)
+    console.log()
+
+    infer(sourceFile);
+});
diff --git a/src/generic/arithmeticDirect.ts b/src/generic/arithmeticDirect.ts
new file mode 100644
index 0000000..65a7782
--- /dev/null
+++ b/src/generic/arithmeticDirect.ts
@@ -0,0 +1,8 @@
+import {infer} from './infer'
+
+export const square = infer(<T>(dep: {
+  multiply: (a: number, b: number) => number,
+  unaryMinus: (x: number) => number, // just for the experiment
+}): (a: number) => number =>
+  z => dep.multiply(z, z)
+)
diff --git a/src/generic/infer.ts b/src/generic/infer.ts
new file mode 100644
index 0000000..6e654cb
--- /dev/null
+++ b/src/generic/infer.ts
@@ -0,0 +1,4 @@
+export function infer<T>(arg: T) : T {
+  console.error('infer should be replace with runtime type information by a magic TypeScript plugin')
+  return arg
+}