diff --git a/compiler/rustc_const_eval/src/interpret/intrinsics.rs b/compiler/rustc_const_eval/src/interpret/intrinsics.rs
index 40c63f2b250f5..63043de97390f 100644
--- a/compiler/rustc_const_eval/src/interpret/intrinsics.rs
+++ b/compiler/rustc_const_eval/src/interpret/intrinsics.rs
@@ -178,8 +178,7 @@ impl<'tcx, M: Machine<'tcx>> InterpCx<'tcx, M> {
 
                 let res = self.binary_op(op, &a, &b)?;
                 // `binary_op` already called `generate_nan` if needed.
-
-                // FIXME: Miri should add some non-determinism to the result here to catch any dependences on exact computations. This has previously been done, but the behaviour was removed as part of constification.
+                let res = M::apply_float_nondet(self, res)?;
                 self.write_immediate(*res, dest)?;
             }
 
diff --git a/compiler/rustc_const_eval/src/interpret/machine.rs b/compiler/rustc_const_eval/src/interpret/machine.rs
index e5026eff21f46..a1386b4e1be49 100644
--- a/compiler/rustc_const_eval/src/interpret/machine.rs
+++ b/compiler/rustc_const_eval/src/interpret/machine.rs
@@ -276,6 +276,14 @@ pub trait Machine<'tcx>: Sized {
         F2::NAN
     }
 
+    /// Apply non-determinism to float operations that do not return a precise result.
+    fn apply_float_nondet(
+        _ecx: &mut InterpCx<'tcx, Self>,
+        val: ImmTy<'tcx, Self::Provenance>,
+    ) -> InterpResult<'tcx, ImmTy<'tcx, Self::Provenance>> {
+        interp_ok(val)
+    }
+
     /// Determines the result of `min`/`max` on floats when the arguments are equal.
     fn equal_float_min_max<F: Float>(_ecx: &InterpCx<'tcx, Self>, a: F, _b: F) -> F {
         // By default, we pick the left argument.
diff --git a/src/tools/miri/src/intrinsics/mod.rs b/src/tools/miri/src/intrinsics/mod.rs
index 7d60a7e5c4895..3334c0b5edf96 100644
--- a/src/tools/miri/src/intrinsics/mod.rs
+++ b/src/tools/miri/src/intrinsics/mod.rs
@@ -7,13 +7,13 @@ use rand::Rng;
 use rustc_abi::Size;
 use rustc_apfloat::{Float, Round};
 use rustc_middle::mir;
-use rustc_middle::ty::{self, FloatTy, ScalarInt};
+use rustc_middle::ty::{self, FloatTy};
 use rustc_span::{Symbol, sym};
 
 use self::atomic::EvalContextExt as _;
 use self::helpers::{ToHost, ToSoft, check_intrinsic_arg_count};
 use self::simd::EvalContextExt as _;
-use crate::math::apply_random_float_error_ulp;
+use crate::math::apply_random_float_error_to_imm;
 use crate::*;
 
 impl<'tcx> EvalContextExt<'tcx> for crate::MiriInterpCx<'tcx> {}
@@ -473,26 +473,3 @@ pub trait EvalContextExt<'tcx>: crate::MiriInterpCxExt<'tcx> {
         interp_ok(EmulateItemResult::NeedsReturn)
     }
 }
-
-/// Applies a random 16ULP floating point error to `val` and returns the new value.
-/// Will fail if `val` is not a floating point number.
-fn apply_random_float_error_to_imm<'tcx>(
-    ecx: &mut MiriInterpCx<'tcx>,
-    val: ImmTy<'tcx>,
-    ulp_exponent: u32,
-) -> InterpResult<'tcx, ImmTy<'tcx>> {
-    let scalar = val.to_scalar_int()?;
-    let res: ScalarInt = match val.layout.ty.kind() {
-        ty::Float(FloatTy::F16) =>
-            apply_random_float_error_ulp(ecx, scalar.to_f16(), ulp_exponent).into(),
-        ty::Float(FloatTy::F32) =>
-            apply_random_float_error_ulp(ecx, scalar.to_f32(), ulp_exponent).into(),
-        ty::Float(FloatTy::F64) =>
-            apply_random_float_error_ulp(ecx, scalar.to_f64(), ulp_exponent).into(),
-        ty::Float(FloatTy::F128) =>
-            apply_random_float_error_ulp(ecx, scalar.to_f128(), ulp_exponent).into(),
-        _ => bug!("intrinsic called with non-float input type"),
-    };
-
-    interp_ok(ImmTy::from_scalar_int(res, val.layout))
-}
diff --git a/src/tools/miri/src/machine.rs b/src/tools/miri/src/machine.rs
index ea59d327be846..10b288882ce6f 100644
--- a/src/tools/miri/src/machine.rs
+++ b/src/tools/miri/src/machine.rs
@@ -1199,6 +1199,16 @@ impl<'tcx> Machine<'tcx> for MiriMachine<'tcx> {
         ecx.generate_nan(inputs)
     }
 
+    #[inline(always)]
+    fn apply_float_nondet(
+        ecx: &mut InterpCx<'tcx, Self>,
+        val: ImmTy<'tcx>,
+    ) -> InterpResult<'tcx, ImmTy<'tcx>> {
+        crate::math::apply_random_float_error_to_imm(
+            ecx, val, 2 /* log2(4) */
+        )
+    }
+
     #[inline(always)]
     fn equal_float_min_max<F: Float>(ecx: &MiriInterpCx<'tcx>, a: F, b: F) -> F {
         ecx.equal_float_min_max(a, b)
diff --git a/src/tools/miri/src/math.rs b/src/tools/miri/src/math.rs
index fdd021f85394b..2ff29c7ac1aad 100644
--- a/src/tools/miri/src/math.rs
+++ b/src/tools/miri/src/math.rs
@@ -1,6 +1,9 @@
 use rand::Rng as _;
 use rustc_apfloat::Float as _;
 use rustc_apfloat::ieee::IeeeFloat;
+use rustc_middle::ty::{self, FloatTy, ScalarInt};
+
+use crate::*;
 
 /// Disturbes a floating-point result by a relative error in the range (-2^scale, 2^scale).
 ///
@@ -43,6 +46,29 @@ pub(crate) fn apply_random_float_error_ulp<F: rustc_apfloat::Float>(
     apply_random_float_error(ecx, val, err_scale)
 }
 
+/// Applies a random 16ULP floating point error to `val` and returns the new value.
+/// Will fail if `val` is not a floating point number.
+pub(crate) fn apply_random_float_error_to_imm<'tcx>(
+    ecx: &mut MiriInterpCx<'tcx>,
+    val: ImmTy<'tcx>,
+    ulp_exponent: u32,
+) -> InterpResult<'tcx, ImmTy<'tcx>> {
+    let scalar = val.to_scalar_int()?;
+    let res: ScalarInt = match val.layout.ty.kind() {
+        ty::Float(FloatTy::F16) =>
+            apply_random_float_error_ulp(ecx, scalar.to_f16(), ulp_exponent).into(),
+        ty::Float(FloatTy::F32) =>
+            apply_random_float_error_ulp(ecx, scalar.to_f32(), ulp_exponent).into(),
+        ty::Float(FloatTy::F64) =>
+            apply_random_float_error_ulp(ecx, scalar.to_f64(), ulp_exponent).into(),
+        ty::Float(FloatTy::F128) =>
+            apply_random_float_error_ulp(ecx, scalar.to_f128(), ulp_exponent).into(),
+        _ => bug!("intrinsic called with non-float input type"),
+    };
+
+    interp_ok(ImmTy::from_scalar_int(res, val.layout))
+}
+
 pub(crate) fn sqrt<S: rustc_apfloat::ieee::Semantics>(x: IeeeFloat<S>) -> IeeeFloat<S> {
     match x.category() {
         // preserve zero sign
diff --git a/src/tools/miri/tests/pass/float.rs b/src/tools/miri/tests/pass/float.rs
index 575d70579a4e3..98a88cfd62dc8 100644
--- a/src/tools/miri/tests/pass/float.rs
+++ b/src/tools/miri/tests/pass/float.rs
@@ -1292,8 +1292,7 @@ fn test_non_determinism() {
             }
         }
         // We saw the same thing N times.
-        // FIXME: temporarily disabled as it breaks std tests.
-        //panic!("expected non-determinism, got {rounds} times the same result: {first:?}");
+        panic!("expected non-determinism, got {rounds} times the same result: {first:?}");
     }
 
     macro_rules! test_operations_f {
@@ -1319,66 +1318,68 @@ fn test_non_determinism() {
     }
     pub fn test_operations_f32(a: f32, b: f32) {
         test_operations_f!(a, b);
-        ensure_nondet(|| a.log(b));
-        ensure_nondet(|| a.exp());
-        ensure_nondet(|| 10f32.exp2());
-        ensure_nondet(|| f32::consts::E.ln());
-        ensure_nondet(|| 1f32.ln_1p());
-        ensure_nondet(|| 10f32.log10());
-        ensure_nondet(|| 8f32.log2());
-        ensure_nondet(|| 27.0f32.cbrt());
-        ensure_nondet(|| 3.0f32.hypot(4.0f32));
-        ensure_nondet(|| 1f32.sin());
-        ensure_nondet(|| 0f32.cos());
-        // On i686-pc-windows-msvc , these functions are implemented by calling the `f64` version,
-        // which means the little rounding errors Miri introduces are discard by the cast down to `f32`.
-        // Just skip the test for them.
-        if !cfg!(all(target_os = "windows", target_env = "msvc", target_arch = "x86")) {
-            ensure_nondet(|| 1.0f32.tan());
-            ensure_nondet(|| 1.0f32.asin());
-            ensure_nondet(|| 5.0f32.acos());
-            ensure_nondet(|| 1.0f32.atan());
-            ensure_nondet(|| 1.0f32.atan2(2.0f32));
-            ensure_nondet(|| 1.0f32.sinh());
-            ensure_nondet(|| 1.0f32.cosh());
-            ensure_nondet(|| 1.0f32.tanh());
-        }
-        ensure_nondet(|| 1.0f32.asinh());
-        ensure_nondet(|| 2.0f32.acosh());
-        ensure_nondet(|| 0.5f32.atanh());
-        ensure_nondet(|| 5.0f32.gamma());
-        ensure_nondet(|| 5.0f32.ln_gamma());
-        ensure_nondet(|| 5.0f32.erf());
-        ensure_nondet(|| 5.0f32.erfc());
+        // FIXME: temporarily disabled as it breaks std tests.
+        // ensure_nondet(|| a.log(b));
+        // ensure_nondet(|| a.exp());
+        // ensure_nondet(|| 10f32.exp2());
+        // ensure_nondet(|| f32::consts::E.ln());
+        // ensure_nondet(|| 1f32.ln_1p());
+        // ensure_nondet(|| 10f32.log10());
+        // ensure_nondet(|| 8f32.log2());
+        // ensure_nondet(|| 27.0f32.cbrt());
+        // ensure_nondet(|| 3.0f32.hypot(4.0f32));
+        // ensure_nondet(|| 1f32.sin());
+        // ensure_nondet(|| 0f32.cos());
+        // // On i686-pc-windows-msvc , these functions are implemented by calling the `f64` version,
+        // // which means the little rounding errors Miri introduces are discard by the cast down to `f32`.
+        // // Just skip the test for them.
+        // if !cfg!(all(target_os = "windows", target_env = "msvc", target_arch = "x86")) {
+        //     ensure_nondet(|| 1.0f32.tan());
+        //     ensure_nondet(|| 1.0f32.asin());
+        //     ensure_nondet(|| 5.0f32.acos());
+        //     ensure_nondet(|| 1.0f32.atan());
+        //     ensure_nondet(|| 1.0f32.atan2(2.0f32));
+        //     ensure_nondet(|| 1.0f32.sinh());
+        //     ensure_nondet(|| 1.0f32.cosh());
+        //     ensure_nondet(|| 1.0f32.tanh());
+        // }
+        // ensure_nondet(|| 1.0f32.asinh());
+        // ensure_nondet(|| 2.0f32.acosh());
+        // ensure_nondet(|| 0.5f32.atanh());
+        // ensure_nondet(|| 5.0f32.gamma());
+        // ensure_nondet(|| 5.0f32.ln_gamma());
+        // ensure_nondet(|| 5.0f32.erf());
+        // ensure_nondet(|| 5.0f32.erfc());
     }
     pub fn test_operations_f64(a: f64, b: f64) {
         test_operations_f!(a, b);
-        ensure_nondet(|| a.log(b));
-        ensure_nondet(|| a.exp());
-        ensure_nondet(|| 50f64.exp2());
-        ensure_nondet(|| 3f64.ln());
-        ensure_nondet(|| 1f64.ln_1p());
-        ensure_nondet(|| f64::consts::E.log10());
-        ensure_nondet(|| f64::consts::E.log2());
-        ensure_nondet(|| 27.0f64.cbrt());
-        ensure_nondet(|| 3.0f64.hypot(4.0f64));
-        ensure_nondet(|| 1f64.sin());
-        ensure_nondet(|| 0f64.cos());
-        ensure_nondet(|| 1.0f64.tan());
-        ensure_nondet(|| 1.0f64.asin());
-        ensure_nondet(|| 5.0f64.acos());
-        ensure_nondet(|| 1.0f64.atan());
-        ensure_nondet(|| 1.0f64.atan2(2.0f64));
-        ensure_nondet(|| 1.0f64.sinh());
-        ensure_nondet(|| 1.0f64.cosh());
-        ensure_nondet(|| 1.0f64.tanh());
-        ensure_nondet(|| 1.0f64.asinh());
-        ensure_nondet(|| 3.0f64.acosh());
-        ensure_nondet(|| 0.5f64.atanh());
-        ensure_nondet(|| 5.0f64.gamma());
-        ensure_nondet(|| 5.0f64.ln_gamma());
-        ensure_nondet(|| 5.0f64.erf());
-        ensure_nondet(|| 5.0f64.erfc());
+        // FIXME: temporarily disabled as it breaks std tests.
+        // ensure_nondet(|| a.log(b));
+        // ensure_nondet(|| a.exp());
+        // ensure_nondet(|| 50f64.exp2());
+        // ensure_nondet(|| 3f64.ln());
+        // ensure_nondet(|| 1f64.ln_1p());
+        // ensure_nondet(|| f64::consts::E.log10());
+        // ensure_nondet(|| f64::consts::E.log2());
+        // ensure_nondet(|| 27.0f64.cbrt());
+        // ensure_nondet(|| 3.0f64.hypot(4.0f64));
+        // ensure_nondet(|| 1f64.sin());
+        // ensure_nondet(|| 0f64.cos());
+        // ensure_nondet(|| 1.0f64.tan());
+        // ensure_nondet(|| 1.0f64.asin());
+        // ensure_nondet(|| 5.0f64.acos());
+        // ensure_nondet(|| 1.0f64.atan());
+        // ensure_nondet(|| 1.0f64.atan2(2.0f64));
+        // ensure_nondet(|| 1.0f64.sinh());
+        // ensure_nondet(|| 1.0f64.cosh());
+        // ensure_nondet(|| 1.0f64.tanh());
+        // ensure_nondet(|| 1.0f64.asinh());
+        // ensure_nondet(|| 3.0f64.acosh());
+        // ensure_nondet(|| 0.5f64.atanh());
+        // ensure_nondet(|| 5.0f64.gamma());
+        // ensure_nondet(|| 5.0f64.ln_gamma());
+        // ensure_nondet(|| 5.0f64.erf());
+        // ensure_nondet(|| 5.0f64.erfc());
     }
     pub fn test_operations_f128(a: f128, b: f128) {
         test_operations_f!(a, b);