diff --git a/scripts/versioning2.js b/scripts/versioning2.js
index 174a615..a825f76 100644
--- a/scripts/versioning2.js
+++ b/scripts/versioning2.js
@@ -16,17 +16,23 @@ const newValue = val => ({
   // [inspect.custom]: (depth, options, inspect) => options.stylize(`newValue(${val})`, 'special'),
 });
 
+const id = x => x;
+
 // Slot<a> -> Computation<a>
 const read = slot => ({
   kind: "transformation",
   in: slot,
-  fn: `${x => x}`,
+  fn: {
+    kind: "value",
+    out: id,
+  },
   out: slot.computation.out,
   // [inspect.custom]: (depth, options, inspect) => options.stylize(`read(${inspect(slot)})`, 'special'),
 });
 
 // Computation<a> -> Computation<a -> b> -> Computation<b>
 const transform = input => fn => {
+  // console.log("transform...", "input:", pretty(input), "fn:", pretty(fn));
   const output = fn.out(input.out);
   if (input.kind === "value") {
     // our input had no read dependency, thus likewise our output does not:
@@ -36,31 +42,58 @@ const transform = input => fn => {
     };
   }
   else {
+    // console.log("transforming the transformation...");
     return {
       kind: "transformation",
       in: input.in,
-      fn,
+      // transform the transformation:
+      fn: transform(input.fn)(newValue(origFn => {
+        const descr = `${fn.out.name} ∘ ${origFn.name}`;
+        return { [descr]: x => fn.out(origFn(x)) }[descr];
+      })),
       out: output,
     };
   }
 };
 
+const counterOne = newSlot(Symbol('counter'))(newValue(1));
 
+const valueOne = read(counterOne);
 
-const price = newSlot(Symbol('price'))(newValue(5));
-const tax   = newSlot(Symbol('tax'))(newValue(1));
+console.log(pretty({valueOne}));
 
-const total =
-  transform(read(price))(
-    transform(read(tax))(
-      newValue(tax => price => price + tax)));
+const inc = x => x + 1;
 
-console.log(pretty({total,}));
+const onePlusOne = transform(valueOne)(newValue(inc));
+
+console.log(pretty({onePlusOne}));
+
+const onePlusOnePlusOne = transform(onePlusOne)(newValue(inc));
+
+console.log(pretty({onePlusOnePlusOne}));
 
 
 
-const getReadDependencies = computation => new Set([
-  ...(computation.kind === "value" ? [] : [computation.in, ...getReadDependencies(computation.fn)]),
-]);
+// const price = newSlot(Symbol('price'))(newValue(20.66));
+// const tax   = newSlot(Symbol('tax'))(newValue(4.34));
 
-console.log("getReadDependencies(total):", getReadDependencies(total));
+// console.log(pretty({price}));
+
+// const total =
+//   transform(read(price))(
+//     transform(read(tax))(
+//       newValue(tax => price => price + tax)));
+
+// console.log(pretty({total}))
+
+// const totalPlusOne = transform(total)(newValue(x => x + 1));
+
+// console.log(pretty({totalPlusOne}));
+
+
+
+// const getReadDependencies = computation => new Set([
+//   ...(computation.kind === "value" ? [] : [computation.in, ...getReadDependencies(computation.fn)]),
+// ]);
+
+// console.log("getReadDependencies(total):", getReadDependencies(total));