diff --git a/packages/squiggle-lang/benchmark/conversion_tests.ts b/packages/squiggle-lang/benchmark/conversion_tests.ts
index 52804c0b..c2f9dcd7 100644
--- a/packages/squiggle-lang/benchmark/conversion_tests.ts
+++ b/packages/squiggle-lang/benchmark/conversion_tests.ts
@@ -1,9 +1,29 @@
-import { generateNormal } from "./generators";
+import { distributions, generateFloat, generateFloatRange } from "./generators";
 import { test, expectEqual } from "./lib";
 
-test("mean is the same under point set transform", () => {
-  let normal = generateNormal();
-  let symbolicMean = `mean(${normal})`;
-  let pointSetMean = `mean(toPointSet(${normal}))`;
-  return expectEqual(symbolicMean, pointSetMean);
+let checkDistributionSame = (distribution: string, operation: (arg: string) => string): void => {
+  expectEqual(operation(distribution), operation(`toPointSet(${distribution})`));
+  expectEqual(operation(distribution), operation(`toSampleSet(${distribution})`));
+}
+
+Object.entries(distributions).map(([key, generator]) => {
+  let distribution = generator();
+  test(`mean is the same for ${key} distribution under all distribution types`, () =>
+    checkDistributionSame(distribution, (d: string) => `mean(${d})`)
+      )
+
+  test(`cdf is the same for ${key} distribution under all distribution types`, () => {
+    let cdf_value = generateFloat();
+    checkDistributionSame(distribution, (d: string) => `cdf(${d}, ${cdf_value})`)
+  })
+
+  test(`pdf is the same for ${key} distribution under all distribution types`, () => {
+    let pdf_value = generateFloat();
+    checkDistributionSame(distribution, (d: string) => `pdf(${d}, ${pdf_value})`)
+  })
+
+  test(`inv is the same for ${key} distribution under all distribution types`, () => {
+    let inv_value = generateFloatRange(0, 1);
+    checkDistributionSame(distribution, (d: string) => `inv(${d}, ${inv_value})`)
+  })
 });
diff --git a/packages/squiggle-lang/benchmark/generators.ts b/packages/squiggle-lang/benchmark/generators.ts
index 6d5d7854..9e134a0b 100644
--- a/packages/squiggle-lang/benchmark/generators.ts
+++ b/packages/squiggle-lang/benchmark/generators.ts
@@ -1,4 +1,6 @@
-let generateFloat = (): number => Math.random() * 200 - 100;
+export let generateFloat = (): number => Math.random() * 200 - 100;
+export let generateFloatMin = (min:number): number => Math.random() * (100 - min) + min;
+export let generateFloatRange = (min:number, max: number): number => Math.random() * (max - min) + min;
 
 let generatePositive = (): number => Math.random() * 100;
 
@@ -10,3 +12,33 @@ export let generateBeta = (): string =>
 
 export let generateLognormal = (): string =>
   `lognormal(${generateFloat()}, ${generatePositive()})`;
+
+export let generateExponential = (): string =>
+  `exponential(${generatePositive()})`;
+
+export let generateUniform = (): string => {
+  let a = generateFloat()
+  let b = generateFloatMin(a)
+  return `uniform(${a}, ${b})`
+}
+export let generateCauchy = (): string => {
+  return `cauchy(${generateFloat()}, ${generatePositive()})`
+}
+
+export let generateTriangular = (): string => {
+  let a = generateFloat()
+  let b = generateFloatMin(a)
+  let c = generateFloatMin(b)
+  return `triangular(${a}, ${b}, ${c})`
+}
+
+export let distributions : {[key: string]: () => string} = { 
+  normal: generateNormal, 
+  beta: generateBeta, 
+  lognormal: generateLognormal, 
+  exponential: generateExponential, 
+  triangular: generateTriangular ,
+  cauchy: generateCauchy,
+  uniform: generateUniform
+}
+
diff --git a/packages/squiggle-lang/benchmark/lib.ts b/packages/squiggle-lang/benchmark/lib.ts
index 7049d62c..ab63c317 100644
--- a/packages/squiggle-lang/benchmark/lib.ts
+++ b/packages/squiggle-lang/benchmark/lib.ts
@@ -26,7 +26,11 @@ export function expectEqual(expression1: string, expression2: string) {
     console.log(`${expression1} === ${expression2}`);
     console.log(`${result1.value} === ${result2.value}`);
     console.log(`loss = ${loss}`);
-    console.log(`logloss = ${Math.log(loss)}`);
+    console.log(`logloss = ${Math.abs(Math.log(result1.value) - Math.log(result2.value))}`);
+    console.log()
+  }
+  else {
+    throw Error(`Expected both to be number, but got ${result1.tag} and ${result2.tag}`)
   }
 }
 
diff --git a/packages/squiggle-lang/src/rescript/TypescriptInterface.res b/packages/squiggle-lang/src/rescript/TypescriptInterface.res
index 8704bf5e..fc381729 100644
--- a/packages/squiggle-lang/src/rescript/TypescriptInterface.res
+++ b/packages/squiggle-lang/src/rescript/TypescriptInterface.res
@@ -31,6 +31,9 @@ let makeSampleSetDist = SampleSetDist.make
 @genType
 let evaluate = Reducer.evaluate
 
+@genType
+let evaluateUsingExternalBindings = Reducer.evaluateUsingExternalBindings
+
 @genType
 type expressionValue = ReducerInterface_ExpressionValue.expressionValue