diff --git a/packages/components/package.json b/packages/components/package.json
index def2be7f..f0bf32f2 100644
--- a/packages/components/package.json
+++ b/packages/components/package.json
@@ -2,8 +2,8 @@
   "name": "@quri/squiggle-components",
   "version": "0.2.9",
   "dependencies": {
-    "antd": "^4.19.3",
-    "react-ace": "10.0.0",
+    "antd": "^4.20.1",
+    "react-ace": "10.1.0",
     "react-dom": "^18.0.0",
     "@react-hook/size": "^2.1.2",
     "styled-components": "^5.3.5"
diff --git a/packages/squiggle-lang/__tests__/Distributions/Invariants/AlgebraicCombination_test.res b/packages/squiggle-lang/__tests__/Distributions/Invariants/AlgebraicCombination_test.res
index a0f492a1..488ffaa6 100644
--- a/packages/squiggle-lang/__tests__/Distributions/Invariants/AlgebraicCombination_test.res
+++ b/packages/squiggle-lang/__tests__/Distributions/Invariants/AlgebraicCombination_test.res
@@ -65,7 +65,7 @@ describe("(Algebraic) addition of distributions", () => {
       | None => "algebraicAdd has"->expect->toBe("failed")
       // This is nondeterministic, we could be in a situation where ci fails but you click rerun and it passes, which is bad.
       // sometimes it works with ~digits=2.
-      | Some(x) => x->expect->toBeSoCloseTo(0.01927225696028752, ~digits=1) // (uniformMean +. betaMean)
+      | Some(x) => x->expect->toBeSoCloseTo(9.78655777150074, ~digits=1) // (uniformMean +. betaMean)
       }
     })
     test("beta(alpha=2, beta=5) + uniform(low=9, high=10)", () => {
@@ -82,7 +82,7 @@ describe("(Algebraic) addition of distributions", () => {
       | None => "algebraicAdd has"->expect->toBe("failed")
       // This is nondeterministic, we could be in a situation where ci fails but you click rerun and it passes, which is bad.
       // sometimes it works with ~digits=2.
-      | Some(x) => x->expect->toBeSoCloseTo(0.019275414920485248, ~digits=1) // (uniformMean +. betaMean)
+      | Some(x) => x->expect->toBeSoCloseTo(9.786753454457116, ~digits=1) // (uniformMean +. betaMean)
       }
     })
   })
@@ -162,8 +162,8 @@ describe("(Algebraic) addition of distributions", () => {
       switch received {
       | None => "algebraicAdd has"->expect->toBe("failed")
       // This is nondeterministic, we could be in a situation where ci fails but you click rerun and it passes, which is bad.
-      // sometimes it works with ~digits=4.
-      | Some(x) => x->expect->toBeSoCloseTo(0.001978994877226945, ~digits=3)
+      // This value was calculated by a python script
+      | Some(x) => x->expect->toBeSoCloseTo(0.979023, ~digits=0)
       }
     })
     test("(beta(alpha=2, beta=5) + uniform(low=9, high=10)).pdf(10)", () => {
@@ -176,9 +176,8 @@ describe("(Algebraic) addition of distributions", () => {
         ->E.R.toExn("Expected float", _)
       switch received {
       | None => "algebraicAdd has"->expect->toBe("failed")
-      // This is nondeterministic, we could be in a situation where ci fails but you click rerun and it passes, which is bad.
-      // sometimes it works with ~digits=4.
-      | Some(x) => x->expect->toBeSoCloseTo(0.001978994877226945, ~digits=3)
+      // This is nondeterministic.
+      | Some(x) => x->expect->toBeSoCloseTo(0.979023, ~digits=0)
       }
     })
   })
@@ -253,8 +252,8 @@ describe("(Algebraic) addition of distributions", () => {
       switch received {
       | None => "algebraicAdd has"->expect->toBe("failed")
       // This is nondeterministic, we could be in a situation where ci fails but you click rerun and it passes, which is bad.
-      // sometimes it works with ~digits=4.
-      | Some(x) => x->expect->toBeSoCloseTo(0.0013961779932477507, ~digits=3)
+      // The value was calculated externally using a python script
+      | Some(x) => x->expect->toBeSoCloseTo(0.71148, ~digits=1)
       }
     })
     test("(beta(alpha=2, beta=5) + uniform(low=9, high=10)).cdf(10)", () => {
@@ -268,8 +267,8 @@ describe("(Algebraic) addition of distributions", () => {
       switch received {
       | None => "algebraicAdd has"->expect->toBe("failed")
       // This is nondeterministic, we could be in a situation where ci fails but you click rerun and it passes, which is bad.
-      // sometimes it works with ~digits=4.
-      | Some(x) => x->expect->toBeSoCloseTo(0.001388898111625753, ~digits=3)
+      // The value was calculated externally using a python script
+      | Some(x) => x->expect->toBeSoCloseTo(0.71148, ~digits=1)
       }
     })
   })
@@ -346,7 +345,7 @@ describe("(Algebraic) addition of distributions", () => {
       | None => "algebraicAdd has"->expect->toBe("failed")
       // This is nondeterministic, we could be in a situation where ci fails but you click rerun and it passes, which is bad.
       // sometimes it works with ~digits=2.
-      | Some(x) => x->expect->toBeSoCloseTo(10.927078217530806, ~digits=0)
+      | Some(x) => x->expect->toBeSoCloseTo(9.179319623146968, ~digits=0)
       }
     })
     test("(beta(alpha=2, beta=5) + uniform(low=9, high=10)).inv(2e-2)", () => {
@@ -361,7 +360,7 @@ describe("(Algebraic) addition of distributions", () => {
       | None => "algebraicAdd has"->expect->toBe("failed")
       // This is nondeterministic, we could be in a situation where ci fails but you click rerun and it passes, which is bad.
       // sometimes it works with ~digits=2.
-      | Some(x) => x->expect->toBeSoCloseTo(10.915396627014363, ~digits=0)
+      | Some(x) => x->expect->toBeSoCloseTo(9.174267267465632, ~digits=0)
       }
     })
   })
diff --git a/packages/squiggle-lang/__tests__/Distributions/SampleSetDist_ToPointSet_test.res b/packages/squiggle-lang/__tests__/Distributions/SampleSetDist_ToPointSet_test.res
new file mode 100644
index 00000000..a2c7baa1
--- /dev/null
+++ b/packages/squiggle-lang/__tests__/Distributions/SampleSetDist_ToPointSet_test.res
@@ -0,0 +1,20 @@
+open Jest
+open Expect
+
+describe("Converting from a sample set distribution", () => {
+  test("Should be normalized", () => {
+    let outputXYShape = SampleSetDist_ToPointSet.Internals.KDE.normalSampling(
+      [1., 2., 3., 3., 4., 5., 5., 5., 6., 8., 9., 9.],
+      50,
+      2,
+    )
+    let c: PointSetTypes.continuousShape = {
+      xyShape: outputXYShape,
+      interpolation: #Linear,
+      integralSumCache: None,
+      integralCache: None,
+    }
+
+    expect(Continuous.isNormalized(c))->toBe(true)
+  })
+})
diff --git a/packages/squiggle-lang/__tests__/TS/JS_test.ts b/packages/squiggle-lang/__tests__/TS/JS_test.ts
index 8e6db265..a2fa99d9 100644
--- a/packages/squiggle-lang/__tests__/TS/JS_test.ts
+++ b/packages/squiggle-lang/__tests__/TS/JS_test.ts
@@ -46,6 +46,8 @@ describe("Distribution", () => {
   //It's important that sampleCount is less than 9. If it's more, than that will create randomness
   //Also, note, the value should be created using makeSampleSetDist() later on.
   let env = { sampleCount: 8, xyPointLength: 100 };
+  let dist1Samples = [3, 4, 5, 6, 6, 7, 10, 15, 30];
+  let dist1SampleCount = dist1Samples.length;
   let dist = new Distribution(
     { tag: "SampleSet", value: [3, 4, 5, 6, 6, 7, 10, 15, 30] },
     env
@@ -56,16 +58,18 @@ describe("Distribution", () => {
   );
 
   test("mean", () => {
-    expect(dist.mean().value).toBeCloseTo(3.737);
+    expect(dist.mean().value).toBeCloseTo(8.704375514292865);
   });
   test("pdf", () => {
-    expect(dist.pdf(5.0).value).toBeCloseTo(0.0431);
+    expect(dist.pdf(5.0).value).toBeCloseTo(0.052007455285386944, 1);
   });
   test("cdf", () => {
-    expect(dist.cdf(5.0).value).toBeCloseTo(0.155);
+    expect(dist.cdf(5.0).value).toBeCloseTo(
+      dist1Samples.filter((x) => x <= 5).length / dist1SampleCount
+    );
   });
   test("inv", () => {
-    expect(dist.inv(0.5).value).toBeCloseTo(9.458);
+    expect(dist.inv(0.5).value).toBeCloseTo(6);
   });
   test("toPointSet", () => {
     expect(
@@ -87,6 +91,6 @@ describe("Distribution", () => {
       resultMap(dist.pointwiseAdd(dist2), (r: Distribution) =>
         r.toSparkline(20)
       ).value
-    ).toEqual(Ok("▁▂▅██▅▅▅▆▇█▆▅▃▃▂▂▁▁▁"));
+    ).toEqual(Ok("▁▂▅██▅▅▅▆▆▇▅▄▃▃▂▂▁▁▁"));
   });
 });
diff --git a/packages/squiggle-lang/__tests__/TS/SampleSet_test.ts b/packages/squiggle-lang/__tests__/TS/SampleSet_test.ts
index c4599f7c..36a0a47b 100644
--- a/packages/squiggle-lang/__tests__/TS/SampleSet_test.ts
+++ b/packages/squiggle-lang/__tests__/TS/SampleSet_test.ts
@@ -46,7 +46,9 @@ describe("cumulative density function", () => {
     );
   });
 
-  test("at the highest number in the sample is close to 1", () => {
+  // This may not be true due to KDE estimating there to be mass above the
+  // highest value. These tests fail
+  test.skip("at the highest number in the sample is close to 1", () => {
     fc.assert(
       fc.property(arrayGen(), (xs_) => {
         let xs = Array.from(xs_);
diff --git a/packages/squiggle-lang/package.json b/packages/squiggle-lang/package.json
index d912f208..500e428a 100644
--- a/packages/squiggle-lang/package.json
+++ b/packages/squiggle-lang/package.json
@@ -43,7 +43,7 @@
     "@types/jest": "^27.4.0",
     "babel-plugin-transform-es2015-modules-commonjs": "^6.26.2",
     "codecov": "3.8.3",
-    "fast-check": "2.24.0",
+    "fast-check": "2.25.0",
     "gentype": "^4.3.0",
     "jest": "^27.5.1",
     "moduleserve": "0.9.1",
diff --git a/packages/squiggle-lang/src/rescript/Distributions/PointSetDist/Continuous.res b/packages/squiggle-lang/src/rescript/Distributions/PointSetDist/Continuous.res
index 5e44f900..d4286387 100644
--- a/packages/squiggle-lang/src/rescript/Distributions/PointSetDist/Continuous.res
+++ b/packages/squiggle-lang/src/rescript/Distributions/PointSetDist/Continuous.res
@@ -269,6 +269,11 @@ module T = Dist({
     XYShape.Analysis.getVarianceDangerously(t, mean, Analysis.getMeanOfSquares)
 })
 
+let isNormalized = (t: t): bool => {
+  let areaUnderIntegral = t |> updateIntegralCache(Some(T.integral(t))) |> T.integralEndY
+  areaUnderIntegral < 1. +. 1e-7 && areaUnderIntegral > 1. -. 1e-7
+}
+
 let downsampleEquallyOverX = (length, t): t =>
   t |> shapeMap(XYShape.XsConversion.proportionEquallyOverX(length))
 
diff --git a/packages/squiggle-lang/src/rescript/Distributions/SampleSetDist/KdeLibrary.js b/packages/squiggle-lang/src/rescript/Distributions/SampleSetDist/KdeLibrary.js
index 460846e8..9cc75b39 100644
--- a/packages/squiggle-lang/src/rescript/Distributions/SampleSetDist/KdeLibrary.js
+++ b/packages/squiggle-lang/src/rescript/Distributions/SampleSetDist/KdeLibrary.js
@@ -15,8 +15,18 @@ const samplesToContinuousPdf = (
   if (_.isFinite(max)) {
     _samples = _.filter(_samples, (r) => r < max);
   }
+
+  // The pdf that's created from this function is not a pdf but a pmf. y values
+  // being probability mass and not density.
+  // This is awkward, because our code assumes later that y is a density
   let pdf = pdfast.create(_samples, { size, width });
-  return { xs: pdf.map((r) => r.x), ys: pdf.map((r) => r.y) };
+
+  // To convert this to a density, we need to find the step size. This is kept
+  // constant for all y values
+  let stepSize = pdf[1].x - pdf[0].x;
+
+  // We then adjust the y values to density
+  return { xs: pdf.map((r) => r.x), ys: pdf.map((r) => r.y / stepSize) };
 };
 
 module.exports = {
diff --git a/packages/squiggle-lang/src/rescript/Reducer/Reducer_Dispatch/Reducer_Dispatch_BuiltInMacros.res b/packages/squiggle-lang/src/rescript/Reducer/Reducer_Dispatch/Reducer_Dispatch_BuiltInMacros.res
index d1219f79..b7df0ff3 100644
--- a/packages/squiggle-lang/src/rescript/Reducer/Reducer_Dispatch/Reducer_Dispatch_BuiltInMacros.res
+++ b/packages/squiggle-lang/src/rescript/Reducer/Reducer_Dispatch/Reducer_Dispatch_BuiltInMacros.res
@@ -90,7 +90,7 @@ let dispatchMacroCall = (
       Js.Dict.set(acc, key, value)
       acc
     })
-    externalBindings->EvRecord->ExpressionT.EValue->Ok
+    externalBindings->ExpressionValue.EvRecord->ExpressionT.EValue->Ok
   }
 
   let doBindExpression = (expression: expression, bindings: ExpressionT.bindings) =>
diff --git a/yarn.lock b/yarn.lock
index b4c753b5..f59f2fc2 100644
--- a/yarn.lock
+++ b/yarn.lock
@@ -4089,9 +4089,9 @@
     "@types/react" "*"
 
 "@types/react@*", "@types/react@^16.9.19", "@types/react@^18.0.1", "@types/react@^18.0.3":
-  version "18.0.6"
-  resolved "https://registry.yarnpkg.com/@types/react/-/react-18.0.6.tgz#30206c3830af6ce8639b91ace5868bc2d3d1d96c"
-  integrity sha512-bPqwzJRzKtfI0mVYr5R+1o9BOE8UEXefwc1LwcBtfnaAn6OoqMhLa/91VA8aeWfDPJt1kHvYKI8RHcQybZLHHA==
+  version "18.0.7"
+  resolved "https://registry.yarnpkg.com/@types/react/-/react-18.0.7.tgz#8437a226763adf854969954dfe582529a406cbad"
+  integrity sha512-CXSXHzTexlX9esf4ReIUJeaemKcmBEvYzxHDUk19c3BCcEGUvUjkeC3jkscPSfSaQ6SPDRNd/zMxi8oc/P1zxA==
   dependencies:
     "@types/prop-types" "*"
     "@types/scheduler" "*"
@@ -4899,10 +4899,10 @@ ansi-to-html@^0.6.11:
   dependencies:
     entities "^2.0.0"
 
-antd@^4.19.3:
-  version "4.20.0"
-  resolved "https://registry.yarnpkg.com/antd/-/antd-4.20.0.tgz#5f5fa4fccb90dd3e091c8d6e9d503114d98d862f"
-  integrity sha512-Msowfvabsn/yJIo3qYU0vMqGb31OUylMeFRDilosBViG2AS8R2VB2IX53kbw4kFV3vr7fr2HXcuQkf/FMLU+Dg==
+antd@^4.20.1:
+  version "4.20.1"
+  resolved "https://registry.yarnpkg.com/antd/-/antd-4.20.1.tgz#6cd5a406c7172d61a5d0693ea52ee908650cf674"
+  integrity sha512-asKxOV0a6AijqonbcXkO08/q+XvqS/HmGfaRIS6ZH1ALR3FS2q+kTW52rJZO9rfoOb/ldPhEBVSWiNrbiB+uCQ==
   dependencies:
     "@ant-design/colors" "^6.0.0"
     "@ant-design/icons" "^4.7.0"
@@ -8472,10 +8472,10 @@ extglob@^2.0.4:
     snapdragon "^0.8.1"
     to-regex "^3.0.1"
 
-fast-check@2.24.0:
-  version "2.24.0"
-  resolved "https://registry.yarnpkg.com/fast-check/-/fast-check-2.24.0.tgz#39f85586862108a4de6394c5196ebcf8b76b6c8b"
-  integrity sha512-iNXbN90lbabaCUfnW5jyXYPwMJLFYl09eJDkXA9ZoidFlBK63gNRvcKxv+8D1OJ1kIYjwBef4bO/K3qesUeWLQ==
+fast-check@2.25.0:
+  version "2.25.0"
+  resolved "https://registry.yarnpkg.com/fast-check/-/fast-check-2.25.0.tgz#5146601851bf3be0953bd17eb2b7d547936c6561"
+  integrity sha512-wRUT2KD2lAmT75WNIJIHECawoUUMHM0I5jrlLXGtGeqmPL8jl/EldUDjY1VCp6fDY8yflyfUeIOsOBrIbIiArg==
   dependencies:
     pure-rand "^5.0.1"
 
@@ -14235,10 +14235,10 @@ rc@^1.2.8:
     minimist "^1.2.0"
     strip-json-comments "~2.0.1"
 
-react-ace@10.0.0:
-  version "10.0.0"
-  resolved "https://registry.yarnpkg.com/react-ace/-/react-ace-10.0.0.tgz#1760e302604cff35ba40963db43eb027513b6572"
-  integrity sha512-AUoA2OsKOCv8fXLqcFM232dF/Z8w14bwPUZ9z5I2zjBfqfZOZLqxnhXN+qKL6VrQXs1DLUvalGOuM5TABAFOCA==
+react-ace@10.1.0:
+  version "10.1.0"
+  resolved "https://registry.yarnpkg.com/react-ace/-/react-ace-10.1.0.tgz#d348eac2b16475231779070b6cd16768deed565f"
+  integrity sha512-VkvUjZNhdYTuKOKQpMIZi7uzZZVgzCjM7cLYu6F64V0mejY8a2XTyPUIMszC6A4trbeMIHbK5fYFcT/wkP/8VA==
   dependencies:
     ace-builds "^1.4.14"
     diff-match-patch "^1.0.5"