diff --git a/compiler/rustc_const_eval/src/const_eval/machine.rs b/compiler/rustc_const_eval/src/const_eval/machine.rs
index f16aea6f34b..14b9894aad5 100644
--- a/compiler/rustc_const_eval/src/const_eval/machine.rs
+++ b/compiler/rustc_const_eval/src/const_eval/machine.rs
@@ -3,7 +3,7 @@
 use rustc_middle::mir;
 use rustc_middle::mir::interpret::PointerArithmetic;
 use rustc_middle::ty::layout::{FnAbiOf, TyAndLayout};
-use rustc_middle::ty::{self, Ty, TyCtxt};
+use rustc_middle::ty::{self, TyCtxt};
 use rustc_session::lint::builtin::INVALID_ALIGNMENT;
 use std::borrow::Borrow;
 use std::hash::Hash;
@@ -596,7 +596,7 @@ fn binary_ptr_op(
         _bin_op: mir::BinOp,
         _left: &ImmTy<'tcx>,
         _right: &ImmTy<'tcx>,
-    ) -> InterpResult<'tcx, (Scalar, bool, Ty<'tcx>)> {
+    ) -> InterpResult<'tcx, (ImmTy<'tcx>, bool)> {
         throw_unsup_format!("pointer arithmetic or comparison is not supported at compile-time");
     }
 
diff --git a/compiler/rustc_const_eval/src/interpret/cast.rs b/compiler/rustc_const_eval/src/interpret/cast.rs
index 4c826239eca..3f1b7e668e3 100644
--- a/compiler/rustc_const_eval/src/interpret/cast.rs
+++ b/compiler/rustc_const_eval/src/interpret/cast.rs
@@ -34,31 +34,31 @@ pub fn cast(
             CastKind::PointerExposeAddress => {
                 let src = self.read_immediate(src)?;
                 let res = self.pointer_expose_address_cast(&src, cast_ty)?;
-                self.write_immediate(res, dest)?;
+                self.write_immediate(*res, dest)?;
             }
 
             CastKind::PointerFromExposedAddress => {
                 let src = self.read_immediate(src)?;
                 let res = self.pointer_from_exposed_address_cast(&src, cast_ty)?;
-                self.write_immediate(res, dest)?;
+                self.write_immediate(*res, dest)?;
             }
 
             CastKind::IntToInt | CastKind::IntToFloat => {
                 let src = self.read_immediate(src)?;
                 let res = self.int_to_int_or_float(&src, cast_ty)?;
-                self.write_immediate(res, dest)?;
+                self.write_immediate(*res, dest)?;
             }
 
             CastKind::FloatToFloat | CastKind::FloatToInt => {
                 let src = self.read_immediate(src)?;
                 let res = self.float_to_float_or_int(&src, cast_ty)?;
-                self.write_immediate(res, dest)?;
+                self.write_immediate(*res, dest)?;
             }
 
             CastKind::FnPtrToPtr | CastKind::PtrToPtr => {
                 let src = self.read_immediate(src)?;
                 let res = self.ptr_to_ptr(&src, cast_ty)?;
-                self.write_immediate(res, dest)?;
+                self.write_immediate(*res, dest)?;
             }
 
             CastKind::PointerCoercion(
@@ -165,11 +165,15 @@ pub fn int_to_int_or_float(
         &self,
         src: &ImmTy<'tcx, M::Provenance>,
         cast_ty: Ty<'tcx>,
-    ) -> InterpResult<'tcx, Immediate<M::Provenance>> {
+    ) -> InterpResult<'tcx, ImmTy<'tcx, M::Provenance>> {
         assert!(src.layout.ty.is_integral() || src.layout.ty.is_char() || src.layout.ty.is_bool());
         assert!(cast_ty.is_floating_point() || cast_ty.is_integral() || cast_ty.is_char());
 
-        Ok(self.cast_from_int_like(src.to_scalar(), src.layout, cast_ty)?.into())
+        let layout = self.layout_of(cast_ty)?;
+        Ok(ImmTy::from_scalar(
+            self.cast_from_int_like(src.to_scalar(), src.layout, cast_ty)?,
+            layout,
+        ))
     }
 
     /// Handles 'FloatToFloat' and 'FloatToInt' casts.
@@ -177,21 +181,19 @@ pub fn float_to_float_or_int(
         &self,
         src: &ImmTy<'tcx, M::Provenance>,
         cast_ty: Ty<'tcx>,
-    ) -> InterpResult<'tcx, Immediate<M::Provenance>> {
+    ) -> InterpResult<'tcx, ImmTy<'tcx, M::Provenance>> {
         use rustc_type_ir::sty::TyKind::*;
 
-        match src.layout.ty.kind() {
+        let layout = self.layout_of(cast_ty)?;
+        let val = match src.layout.ty.kind() {
             // Floating point
-            Float(FloatTy::F32) => {
-                return Ok(self.cast_from_float(src.to_scalar().to_f32()?, cast_ty).into());
-            }
-            Float(FloatTy::F64) => {
-                return Ok(self.cast_from_float(src.to_scalar().to_f64()?, cast_ty).into());
-            }
+            Float(FloatTy::F32) => self.cast_from_float(src.to_scalar().to_f32()?, cast_ty),
+            Float(FloatTy::F64) => self.cast_from_float(src.to_scalar().to_f64()?, cast_ty),
             _ => {
                 bug!("Can't cast 'Float' type into {:?}", cast_ty);
             }
-        }
+        };
+        Ok(ImmTy::from_scalar(val, layout))
     }
 
     /// Handles 'FnPtrToPtr' and 'PtrToPtr' casts.
@@ -199,21 +201,21 @@ pub fn ptr_to_ptr(
         &self,
         src: &ImmTy<'tcx, M::Provenance>,
         cast_ty: Ty<'tcx>,
-    ) -> InterpResult<'tcx, Immediate<M::Provenance>> {
+    ) -> InterpResult<'tcx, ImmTy<'tcx, M::Provenance>> {
         assert!(src.layout.ty.is_any_ptr());
         assert!(cast_ty.is_unsafe_ptr());
         // Handle casting any ptr to raw ptr (might be a fat ptr).
         let dest_layout = self.layout_of(cast_ty)?;
         if dest_layout.size == src.layout.size {
             // Thin or fat pointer that just hast the ptr kind of target type changed.
-            return Ok(**src);
+            return Ok(ImmTy::from_immediate(**src, dest_layout));
         } else {
             // Casting the metadata away from a fat ptr.
             assert_eq!(src.layout.size, 2 * self.pointer_size());
             assert_eq!(dest_layout.size, self.pointer_size());
             assert!(src.layout.ty.is_unsafe_ptr());
             return match **src {
-                Immediate::ScalarPair(data, _) => Ok(data.into()),
+                Immediate::ScalarPair(data, _) => Ok(ImmTy::from_scalar(data, dest_layout)),
                 Immediate::Scalar(..) => span_bug!(
                     self.cur_span(),
                     "{:?} input to a fat-to-thin cast ({:?} -> {:?})",
@@ -230,7 +232,7 @@ pub fn pointer_expose_address_cast(
         &mut self,
         src: &ImmTy<'tcx, M::Provenance>,
         cast_ty: Ty<'tcx>,
-    ) -> InterpResult<'tcx, Immediate<M::Provenance>> {
+    ) -> InterpResult<'tcx, ImmTy<'tcx, M::Provenance>> {
         assert_matches!(src.layout.ty.kind(), ty::RawPtr(_) | ty::FnPtr(_));
         assert!(cast_ty.is_integral());
 
@@ -240,14 +242,15 @@ pub fn pointer_expose_address_cast(
             Ok(ptr) => M::expose_ptr(self, ptr)?,
             Err(_) => {} // Do nothing, exposing an invalid pointer (`None` provenance) is a NOP.
         };
-        Ok(self.cast_from_int_like(scalar, src.layout, cast_ty)?.into())
+        let layout = self.layout_of(cast_ty)?;
+        Ok(ImmTy::from_scalar(self.cast_from_int_like(scalar, src.layout, cast_ty)?, layout))
     }
 
     pub fn pointer_from_exposed_address_cast(
         &self,
         src: &ImmTy<'tcx, M::Provenance>,
         cast_ty: Ty<'tcx>,
-    ) -> InterpResult<'tcx, Immediate<M::Provenance>> {
+    ) -> InterpResult<'tcx, ImmTy<'tcx, M::Provenance>> {
         assert!(src.layout.ty.is_integral());
         assert_matches!(cast_ty.kind(), ty::RawPtr(_));
 
@@ -258,12 +261,13 @@ pub fn pointer_from_exposed_address_cast(
 
         // Then turn address into pointer.
         let ptr = M::ptr_from_addr_cast(&self, addr)?;
-        Ok(Scalar::from_maybe_pointer(ptr, self).into())
+        let layout = self.layout_of(cast_ty)?;
+        Ok(ImmTy::from_scalar(Scalar::from_maybe_pointer(ptr, self), layout))
     }
 
     /// Low-level cast helper function. This works directly on scalars and can take 'int-like' input
     /// type (basically everything with a scalar layout) to int/float/char types.
-    pub fn cast_from_int_like(
+    fn cast_from_int_like(
         &self,
         scalar: Scalar<M::Provenance>, // input value (there is no ScalarTy so we separate data+layout)
         src_layout: TyAndLayout<'tcx>,
diff --git a/compiler/rustc_const_eval/src/interpret/discriminant.rs b/compiler/rustc_const_eval/src/interpret/discriminant.rs
index 440ee06e7fe..f177edd2b41 100644
--- a/compiler/rustc_const_eval/src/interpret/discriminant.rs
+++ b/compiler/rustc_const_eval/src/interpret/discriminant.rs
@@ -76,7 +76,7 @@ pub fn write_discriminant(
                     let niche_start_val = ImmTy::from_uint(niche_start, tag_layout);
                     let variant_index_relative_val =
                         ImmTy::from_uint(variant_index_relative, tag_layout);
-                    let tag_val = self.binary_op(
+                    let tag_val = self.wrapping_binary_op(
                         mir::BinOp::Add,
                         &variant_index_relative_val,
                         &niche_start_val,
@@ -153,19 +153,18 @@ pub fn read_discriminant(
         // Figure out which discriminant and variant this corresponds to.
         let index = match *tag_encoding {
             TagEncoding::Direct => {
-                let scalar = tag_val.to_scalar();
                 // Generate a specific error if `tag_val` is not an integer.
                 // (`tag_bits` itself is only used for error messages below.)
-                let tag_bits = scalar
+                let tag_bits = tag_val
+                    .to_scalar()
                     .try_to_int()
                     .map_err(|dbg_val| err_ub!(InvalidTag(dbg_val)))?
                     .assert_bits(tag_layout.size);
                 // Cast bits from tag layout to discriminant layout.
                 // After the checks we did above, this cannot fail, as
                 // discriminants are int-like.
-                let discr_val =
-                    self.cast_from_int_like(scalar, tag_val.layout, discr_layout.ty).unwrap();
-                let discr_bits = discr_val.assert_bits(discr_layout.size);
+                let discr_val = self.int_to_int_or_float(&tag_val, discr_layout.ty).unwrap();
+                let discr_bits = discr_val.to_scalar().assert_bits(discr_layout.size);
                 // Convert discriminant to variant index, and catch invalid discriminants.
                 let index = match *ty.kind() {
                     ty::Adt(adt, _) => {
@@ -208,7 +207,7 @@ pub fn read_discriminant(
                         let tag_val = ImmTy::from_uint(tag_bits, tag_layout);
                         let niche_start_val = ImmTy::from_uint(niche_start, tag_layout);
                         let variant_index_relative_val =
-                            self.binary_op(mir::BinOp::Sub, &tag_val, &niche_start_val)?;
+                            self.wrapping_binary_op(mir::BinOp::Sub, &tag_val, &niche_start_val)?;
                         let variant_index_relative =
                             variant_index_relative_val.to_scalar().assert_bits(tag_val.layout.size);
                         // Check if this is in the range that indicates an actual discriminant.
diff --git a/compiler/rustc_const_eval/src/interpret/intrinsics.rs b/compiler/rustc_const_eval/src/interpret/intrinsics.rs
index f08f1437918..d6a14752095 100644
--- a/compiler/rustc_const_eval/src/interpret/intrinsics.rs
+++ b/compiler/rustc_const_eval/src/interpret/intrinsics.rs
@@ -307,7 +307,7 @@ pub fn emulate_intrinsic(
                 let dist = {
                     // Addresses are unsigned, so this is a `usize` computation. We have to do the
                     // overflow check separately anyway.
-                    let (val, overflowed, _ty) = {
+                    let (val, overflowed) = {
                         let a_offset = ImmTy::from_uint(a_offset, usize_layout);
                         let b_offset = ImmTy::from_uint(b_offset, usize_layout);
                         self.overflowing_binary_op(BinOp::Sub, &a_offset, &b_offset)?
@@ -324,7 +324,7 @@ pub fn emulate_intrinsic(
                         // The signed form of the intrinsic allows this. If we interpret the
                         // difference as isize, we'll get the proper signed difference. If that
                         // seems *positive*, they were more than isize::MAX apart.
-                        let dist = val.to_target_isize(self)?;
+                        let dist = val.to_scalar().to_target_isize(self)?;
                         if dist >= 0 {
                             throw_ub_custom!(
                                 fluent::const_eval_offset_from_underflow,
@@ -334,7 +334,7 @@ pub fn emulate_intrinsic(
                         dist
                     } else {
                         // b >= a
-                        let dist = val.to_target_isize(self)?;
+                        let dist = val.to_scalar().to_target_isize(self)?;
                         // If converting to isize produced a *negative* result, we had an overflow
                         // because they were more than isize::MAX apart.
                         if dist < 0 {
@@ -504,9 +504,9 @@ pub fn exact_div(
         // Performs an exact division, resulting in undefined behavior where
         // `x % y != 0` or `y == 0` or `x == T::MIN && y == -1`.
         // First, check x % y != 0 (or if that computation overflows).
-        let (res, overflow, _ty) = self.overflowing_binary_op(BinOp::Rem, &a, &b)?;
+        let (res, overflow) = self.overflowing_binary_op(BinOp::Rem, &a, &b)?;
         assert!(!overflow); // All overflow is UB, so this should never return on overflow.
-        if res.assert_bits(a.layout.size) != 0 {
+        if res.to_scalar().assert_bits(a.layout.size) != 0 {
             throw_ub_custom!(
                 fluent::const_eval_exact_div_has_remainder,
                 a = format!("{a}"),
@@ -524,7 +524,7 @@ pub fn saturating_arith(
         r: &ImmTy<'tcx, M::Provenance>,
     ) -> InterpResult<'tcx, Scalar<M::Provenance>> {
         assert!(matches!(mir_op, BinOp::Add | BinOp::Sub));
-        let (val, overflowed, _ty) = self.overflowing_binary_op(mir_op, l, r)?;
+        let (val, overflowed) = self.overflowing_binary_op(mir_op, l, r)?;
         Ok(if overflowed {
             let size = l.layout.size;
             let num_bits = size.bits();
@@ -556,7 +556,7 @@ pub fn saturating_arith(
                 }
             }
         } else {
-            val
+            val.to_scalar()
         })
     }
 
diff --git a/compiler/rustc_const_eval/src/interpret/machine.rs b/compiler/rustc_const_eval/src/interpret/machine.rs
index c9fd2102418..aaa674a598f 100644
--- a/compiler/rustc_const_eval/src/interpret/machine.rs
+++ b/compiler/rustc_const_eval/src/interpret/machine.rs
@@ -9,7 +9,7 @@
 use rustc_ast::{InlineAsmOptions, InlineAsmTemplatePiece};
 use rustc_middle::mir;
 use rustc_middle::ty::layout::TyAndLayout;
-use rustc_middle::ty::{self, Ty, TyCtxt};
+use rustc_middle::ty::{self, TyCtxt};
 use rustc_span::def_id::DefId;
 use rustc_target::abi::{Align, Size};
 use rustc_target::spec::abi::Abi as CallAbi;
@@ -18,7 +18,7 @@
 
 use super::{
     AllocBytes, AllocId, AllocRange, Allocation, ConstAllocation, FnArg, Frame, ImmTy, InterpCx,
-    InterpResult, MPlaceTy, MemoryKind, OpTy, PlaceTy, Pointer, Provenance, Scalar,
+    InterpResult, MPlaceTy, MemoryKind, OpTy, PlaceTy, Pointer, Provenance,
 };
 
 /// Data returned by Machine::stack_pop,
@@ -238,7 +238,7 @@ fn binary_ptr_op(
         bin_op: mir::BinOp,
         left: &ImmTy<'tcx, Self::Provenance>,
         right: &ImmTy<'tcx, Self::Provenance>,
-    ) -> InterpResult<'tcx, (Scalar<Self::Provenance>, bool, Ty<'tcx>)>;
+    ) -> InterpResult<'tcx, (ImmTy<'tcx, Self::Provenance>, bool)>;
 
     /// Called before writing the specified `local` of the `frame`.
     /// Since writing a ZST is not actually accessing memory or locals, this is never invoked
diff --git a/compiler/rustc_const_eval/src/interpret/operand.rs b/compiler/rustc_const_eval/src/interpret/operand.rs
index 788b50d7c4a..18ede5ac91e 100644
--- a/compiler/rustc_const_eval/src/interpret/operand.rs
+++ b/compiler/rustc_const_eval/src/interpret/operand.rs
@@ -8,7 +8,7 @@
 use rustc_hir::def::Namespace;
 use rustc_middle::ty::layout::{LayoutOf, TyAndLayout};
 use rustc_middle::ty::print::{FmtPrinter, PrettyPrinter};
-use rustc_middle::ty::{ConstInt, Ty};
+use rustc_middle::ty::{ConstInt, Ty, TyCtxt};
 use rustc_middle::{mir, ty};
 use rustc_target::abi::{self, Abi, Align, HasDataLayout, Size};
 
@@ -188,6 +188,12 @@ pub fn from_int(i: impl Into<i128>, layout: TyAndLayout<'tcx>) -> Self {
         Self::from_scalar(Scalar::from_int(i, layout.size), layout)
     }
 
+    #[inline]
+    pub fn from_bool(b: bool, tcx: TyCtxt<'tcx>) -> Self {
+        let layout = tcx.layout_of(ty::ParamEnv::reveal_all().and(tcx.types.bool)).unwrap();
+        Self::from_scalar(Scalar::from_bool(b), layout)
+    }
+
     #[inline]
     pub fn to_const_int(self) -> ConstInt {
         assert!(self.layout.ty.is_integral());
diff --git a/compiler/rustc_const_eval/src/interpret/operator.rs b/compiler/rustc_const_eval/src/interpret/operator.rs
index eb064578067..22813ef66f6 100644
--- a/compiler/rustc_const_eval/src/interpret/operator.rs
+++ b/compiler/rustc_const_eval/src/interpret/operator.rs
@@ -1,7 +1,7 @@
 use rustc_apfloat::Float;
 use rustc_middle::mir;
 use rustc_middle::mir::interpret::{InterpResult, Scalar};
-use rustc_middle::ty::layout::{LayoutOf, TyAndLayout};
+use rustc_middle::ty::layout::TyAndLayout;
 use rustc_middle::ty::{self, FloatTy, Ty};
 use rustc_span::symbol::sym;
 use rustc_target::abi::Abi;
@@ -20,9 +20,9 @@ pub fn binop_with_overflow(
         right: &ImmTy<'tcx, M::Provenance>,
         dest: &PlaceTy<'tcx, M::Provenance>,
     ) -> InterpResult<'tcx> {
-        let (val, overflowed, ty) = self.overflowing_binary_op(op, &left, &right)?;
+        let (val, overflowed) = self.overflowing_binary_op(op, &left, &right)?;
         debug_assert_eq!(
-            Ty::new_tup(self.tcx.tcx, &[ty, self.tcx.types.bool]),
+            Ty::new_tup(self.tcx.tcx, &[val.layout.ty, self.tcx.types.bool]),
             dest.layout.ty,
             "type mismatch for result of {op:?}",
         );
@@ -30,7 +30,7 @@ pub fn binop_with_overflow(
         if let Abi::ScalarPair(..) = dest.layout.abi {
             // We can use the optimized path and avoid `place_field` (which might do
             // `force_allocation`).
-            let pair = Immediate::ScalarPair(val, Scalar::from_bool(overflowed));
+            let pair = Immediate::ScalarPair(val.to_scalar(), Scalar::from_bool(overflowed));
             self.write_immediate(pair, dest)?;
         } else {
             assert!(self.tcx.sess.opts.unstable_opts.randomize_layout);
@@ -38,7 +38,7 @@ pub fn binop_with_overflow(
             // do a component-wise write here. This code path is slower than the above because
             // `place_field` will have to `force_allocate` locals here.
             let val_field = self.project_field(dest, 0)?;
-            self.write_scalar(val, &val_field)?;
+            self.write_scalar(val.to_scalar(), &val_field)?;
             let overflowed_field = self.project_field(dest, 1)?;
             self.write_scalar(Scalar::from_bool(overflowed), &overflowed_field)?;
         }
@@ -54,9 +54,9 @@ pub fn binop_ignore_overflow(
         right: &ImmTy<'tcx, M::Provenance>,
         dest: &PlaceTy<'tcx, M::Provenance>,
     ) -> InterpResult<'tcx> {
-        let (val, _overflowed, ty) = self.overflowing_binary_op(op, left, right)?;
-        assert_eq!(ty, dest.layout.ty, "type mismatch for result of {op:?}");
-        self.write_scalar(val, dest)
+        let val = self.wrapping_binary_op(op, left, right)?;
+        assert_eq!(val.layout.ty, dest.layout.ty, "type mismatch for result of {op:?}");
+        self.write_immediate(*val, dest)
     }
 }
 
@@ -66,7 +66,7 @@ fn binary_char_op(
         bin_op: mir::BinOp,
         l: char,
         r: char,
-    ) -> (Scalar<M::Provenance>, bool, Ty<'tcx>) {
+    ) -> (ImmTy<'tcx, M::Provenance>, bool) {
         use rustc_middle::mir::BinOp::*;
 
         let res = match bin_op {
@@ -78,7 +78,7 @@ fn binary_char_op(
             Ge => l >= r,
             _ => span_bug!(self.cur_span(), "Invalid operation on char: {:?}", bin_op),
         };
-        (Scalar::from_bool(res), false, self.tcx.types.bool)
+        (ImmTy::from_bool(res, *self.tcx), false)
     }
 
     fn binary_bool_op(
@@ -86,7 +86,7 @@ fn binary_bool_op(
         bin_op: mir::BinOp,
         l: bool,
         r: bool,
-    ) -> (Scalar<M::Provenance>, bool, Ty<'tcx>) {
+    ) -> (ImmTy<'tcx, M::Provenance>, bool) {
         use rustc_middle::mir::BinOp::*;
 
         let res = match bin_op {
@@ -101,33 +101,33 @@ fn binary_bool_op(
             BitXor => l ^ r,
             _ => span_bug!(self.cur_span(), "Invalid operation on bool: {:?}", bin_op),
         };
-        (Scalar::from_bool(res), false, self.tcx.types.bool)
+        (ImmTy::from_bool(res, *self.tcx), false)
     }
 
     fn binary_float_op<F: Float + Into<Scalar<M::Provenance>>>(
         &self,
         bin_op: mir::BinOp,
-        ty: Ty<'tcx>,
+        layout: TyAndLayout<'tcx>,
         l: F,
         r: F,
-    ) -> (Scalar<M::Provenance>, bool, Ty<'tcx>) {
+    ) -> (ImmTy<'tcx, M::Provenance>, bool) {
         use rustc_middle::mir::BinOp::*;
 
-        let (val, ty) = match bin_op {
-            Eq => (Scalar::from_bool(l == r), self.tcx.types.bool),
-            Ne => (Scalar::from_bool(l != r), self.tcx.types.bool),
-            Lt => (Scalar::from_bool(l < r), self.tcx.types.bool),
-            Le => (Scalar::from_bool(l <= r), self.tcx.types.bool),
-            Gt => (Scalar::from_bool(l > r), self.tcx.types.bool),
-            Ge => (Scalar::from_bool(l >= r), self.tcx.types.bool),
-            Add => ((l + r).value.into(), ty),
-            Sub => ((l - r).value.into(), ty),
-            Mul => ((l * r).value.into(), ty),
-            Div => ((l / r).value.into(), ty),
-            Rem => ((l % r).value.into(), ty),
+        let val = match bin_op {
+            Eq => ImmTy::from_bool(l == r, *self.tcx),
+            Ne => ImmTy::from_bool(l != r, *self.tcx),
+            Lt => ImmTy::from_bool(l < r, *self.tcx),
+            Le => ImmTy::from_bool(l <= r, *self.tcx),
+            Gt => ImmTy::from_bool(l > r, *self.tcx),
+            Ge => ImmTy::from_bool(l >= r, *self.tcx),
+            Add => ImmTy::from_scalar((l + r).value.into(), layout),
+            Sub => ImmTy::from_scalar((l - r).value.into(), layout),
+            Mul => ImmTy::from_scalar((l * r).value.into(), layout),
+            Div => ImmTy::from_scalar((l / r).value.into(), layout),
+            Rem => ImmTy::from_scalar((l % r).value.into(), layout),
             _ => span_bug!(self.cur_span(), "invalid float op: `{:?}`", bin_op),
         };
-        (val, false, ty)
+        (val, false)
     }
 
     fn binary_int_op(
@@ -138,7 +138,7 @@ fn binary_int_op(
         left_layout: TyAndLayout<'tcx>,
         r: u128,
         right_layout: TyAndLayout<'tcx>,
-    ) -> InterpResult<'tcx, (Scalar<M::Provenance>, bool, Ty<'tcx>)> {
+    ) -> InterpResult<'tcx, (ImmTy<'tcx, M::Provenance>, bool)> {
         use rustc_middle::mir::BinOp::*;
 
         let throw_ub_on_overflow = match bin_op {
@@ -200,7 +200,7 @@ fn binary_int_op(
                 );
             }
 
-            return Ok((Scalar::from_uint(truncated, left_layout.size), overflow, left_layout.ty));
+            return Ok((ImmTy::from_uint(truncated, left_layout), overflow));
         }
 
         // For the remaining ops, the types must be the same on both sides
@@ -230,7 +230,7 @@ fn binary_int_op(
             if let Some(op) = op {
                 let l = self.sign_extend(l, left_layout) as i128;
                 let r = self.sign_extend(r, right_layout) as i128;
-                return Ok((Scalar::from_bool(op(&l, &r)), false, self.tcx.types.bool));
+                return Ok((ImmTy::from_bool(op(&l, &r), *self.tcx), false));
             }
             let op: Option<fn(i128, i128) -> (i128, bool)> = match bin_op {
                 Div if r == 0 => throw_ub!(DivisionByZero),
@@ -267,22 +267,22 @@ fn binary_int_op(
                 if overflow && let Some(intrinsic_name) = throw_ub_on_overflow {
                     throw_ub_custom!(fluent::const_eval_overflow, name = intrinsic_name);
                 }
-                return Ok((Scalar::from_uint(truncated, size), overflow, left_layout.ty));
+                return Ok((ImmTy::from_uint(truncated, left_layout), overflow));
             }
         }
 
-        let (val, ty) = match bin_op {
-            Eq => (Scalar::from_bool(l == r), self.tcx.types.bool),
-            Ne => (Scalar::from_bool(l != r), self.tcx.types.bool),
+        let val = match bin_op {
+            Eq => ImmTy::from_bool(l == r, *self.tcx),
+            Ne => ImmTy::from_bool(l != r, *self.tcx),
 
-            Lt => (Scalar::from_bool(l < r), self.tcx.types.bool),
-            Le => (Scalar::from_bool(l <= r), self.tcx.types.bool),
-            Gt => (Scalar::from_bool(l > r), self.tcx.types.bool),
-            Ge => (Scalar::from_bool(l >= r), self.tcx.types.bool),
+            Lt => ImmTy::from_bool(l < r, *self.tcx),
+            Le => ImmTy::from_bool(l <= r, *self.tcx),
+            Gt => ImmTy::from_bool(l > r, *self.tcx),
+            Ge => ImmTy::from_bool(l >= r, *self.tcx),
 
-            BitOr => (Scalar::from_uint(l | r, size), left_layout.ty),
-            BitAnd => (Scalar::from_uint(l & r, size), left_layout.ty),
-            BitXor => (Scalar::from_uint(l ^ r, size), left_layout.ty),
+            BitOr => ImmTy::from_uint(l | r, left_layout),
+            BitAnd => ImmTy::from_uint(l & r, left_layout),
+            BitXor => ImmTy::from_uint(l ^ r, left_layout),
 
             Add | AddUnchecked | Sub | SubUnchecked | Mul | MulUnchecked | Rem | Div => {
                 assert!(!left_layout.abi.is_signed());
@@ -304,7 +304,7 @@ fn binary_int_op(
                 if overflow && let Some(intrinsic_name) = throw_ub_on_overflow {
                     throw_ub_custom!(fluent::const_eval_overflow, name = intrinsic_name);
                 }
-                return Ok((Scalar::from_uint(truncated, size), overflow, left_layout.ty));
+                return Ok((ImmTy::from_uint(truncated, left_layout), overflow));
             }
 
             _ => span_bug!(
@@ -317,7 +317,7 @@ fn binary_int_op(
             ),
         };
 
-        Ok((val, false, ty))
+        Ok((val, false))
     }
 
     fn binary_ptr_op(
@@ -325,7 +325,7 @@ fn binary_ptr_op(
         bin_op: mir::BinOp,
         left: &ImmTy<'tcx, M::Provenance>,
         right: &ImmTy<'tcx, M::Provenance>,
-    ) -> InterpResult<'tcx, (Scalar<M::Provenance>, bool, Ty<'tcx>)> {
+    ) -> InterpResult<'tcx, (ImmTy<'tcx, M::Provenance>, bool)> {
         use rustc_middle::mir::BinOp::*;
 
         match bin_op {
@@ -336,7 +336,10 @@ fn binary_ptr_op(
                 let pointee_ty = left.layout.ty.builtin_deref(true).unwrap().ty;
 
                 let offset_ptr = self.ptr_offset_inbounds(ptr, pointee_ty, offset_count)?;
-                Ok((Scalar::from_maybe_pointer(offset_ptr, self), false, left.layout.ty))
+                Ok((
+                    ImmTy::from_scalar(Scalar::from_maybe_pointer(offset_ptr, self), left.layout),
+                    false,
+                ))
             }
 
             // Fall back to machine hook so Miri can support more pointer ops.
@@ -344,14 +347,13 @@ fn binary_ptr_op(
         }
     }
 
-    /// Returns the result of the specified operation, whether it overflowed, and
-    /// the result type.
+    /// Returns the result of the specified operation, and whether it overflowed.
     pub fn overflowing_binary_op(
         &self,
         bin_op: mir::BinOp,
         left: &ImmTy<'tcx, M::Provenance>,
         right: &ImmTy<'tcx, M::Provenance>,
-    ) -> InterpResult<'tcx, (Scalar<M::Provenance>, bool, Ty<'tcx>)> {
+    ) -> InterpResult<'tcx, (ImmTy<'tcx, M::Provenance>, bool)> {
         trace!(
             "Running binary op {:?}: {:?} ({:?}), {:?} ({:?})",
             bin_op,
@@ -376,15 +378,15 @@ pub fn overflowing_binary_op(
             }
             ty::Float(fty) => {
                 assert_eq!(left.layout.ty, right.layout.ty);
-                let ty = left.layout.ty;
+                let layout = left.layout;
                 let left = left.to_scalar();
                 let right = right.to_scalar();
                 Ok(match fty {
                     FloatTy::F32 => {
-                        self.binary_float_op(bin_op, ty, left.to_f32()?, right.to_f32()?)
+                        self.binary_float_op(bin_op, layout, left.to_f32()?, right.to_f32()?)
                     }
                     FloatTy::F64 => {
-                        self.binary_float_op(bin_op, ty, left.to_f64()?, right.to_f64()?)
+                        self.binary_float_op(bin_op, layout, left.to_f64()?, right.to_f64()?)
                     }
                 })
             }
@@ -423,16 +425,15 @@ pub fn overflowing_binary_op(
         }
     }
 
-    /// Typed version of `overflowing_binary_op`, returning an `ImmTy`. Also ignores overflows.
     #[inline]
-    pub fn binary_op(
+    pub fn wrapping_binary_op(
         &self,
         bin_op: mir::BinOp,
         left: &ImmTy<'tcx, M::Provenance>,
         right: &ImmTy<'tcx, M::Provenance>,
     ) -> InterpResult<'tcx, ImmTy<'tcx, M::Provenance>> {
-        let (val, _overflow, ty) = self.overflowing_binary_op(bin_op, left, right)?;
-        Ok(ImmTy::from_scalar(val, self.layout_of(ty)?))
+        let (val, _overflow) = self.overflowing_binary_op(bin_op, left, right)?;
+        Ok(val)
     }
 
     /// Returns the result of the specified operation, whether it overflowed, and
@@ -441,7 +442,7 @@ pub fn overflowing_unary_op(
         &self,
         un_op: mir::UnOp,
         val: &ImmTy<'tcx, M::Provenance>,
-    ) -> InterpResult<'tcx, (Scalar<M::Provenance>, bool, Ty<'tcx>)> {
+    ) -> InterpResult<'tcx, (ImmTy<'tcx, M::Provenance>, bool)> {
         use rustc_middle::mir::UnOp::*;
 
         let layout = val.layout;
@@ -455,7 +456,7 @@ pub fn overflowing_unary_op(
                     Not => !val,
                     _ => span_bug!(self.cur_span(), "Invalid bool op {:?}", un_op),
                 };
-                Ok((Scalar::from_bool(res), false, self.tcx.types.bool))
+                Ok((ImmTy::from_bool(res, *self.tcx), false))
             }
             ty::Float(fty) => {
                 let res = match (un_op, fty) {
@@ -463,7 +464,7 @@ pub fn overflowing_unary_op(
                     (Neg, FloatTy::F64) => Scalar::from_f64(-val.to_f64()?),
                     _ => span_bug!(self.cur_span(), "Invalid float op {:?}", un_op),
                 };
-                Ok((res, false, layout.ty))
+                Ok((ImmTy::from_scalar(res, layout), false))
             }
             _ => {
                 assert!(layout.ty.is_integral());
@@ -482,17 +483,18 @@ pub fn overflowing_unary_op(
                         (truncated, overflow || self.sign_extend(truncated, layout) != res)
                     }
                 };
-                Ok((Scalar::from_uint(res, layout.size), overflow, layout.ty))
+                Ok((ImmTy::from_uint(res, layout), overflow))
             }
         }
     }
 
-    pub fn unary_op(
+    #[inline]
+    pub fn wrapping_unary_op(
         &self,
         un_op: mir::UnOp,
         val: &ImmTy<'tcx, M::Provenance>,
     ) -> InterpResult<'tcx, ImmTy<'tcx, M::Provenance>> {
-        let (val, _overflow, ty) = self.overflowing_unary_op(un_op, val)?;
-        Ok(ImmTy::from_scalar(val, self.layout_of(ty)?))
+        let (val, _overflow) = self.overflowing_unary_op(un_op, val)?;
+        Ok(val)
     }
 }
diff --git a/compiler/rustc_const_eval/src/interpret/step.rs b/compiler/rustc_const_eval/src/interpret/step.rs
index cf1f7ff75e1..284e13407f7 100644
--- a/compiler/rustc_const_eval/src/interpret/step.rs
+++ b/compiler/rustc_const_eval/src/interpret/step.rs
@@ -177,7 +177,7 @@ pub fn eval_rvalue_into_place(
             UnaryOp(un_op, ref operand) => {
                 // The operand always has the same type as the result.
                 let val = self.read_immediate(&self.eval_operand(operand, Some(dest.layout))?)?;
-                let val = self.unary_op(un_op, &val)?;
+                let val = self.wrapping_unary_op(un_op, &val)?;
                 assert_eq!(val.layout, dest.layout, "layout mismatch for result of {un_op:?}");
                 self.write_immediate(*val, &dest)?;
             }
diff --git a/compiler/rustc_const_eval/src/interpret/terminator.rs b/compiler/rustc_const_eval/src/interpret/terminator.rs
index e15499bc68d..8a62a816c96 100644
--- a/compiler/rustc_const_eval/src/interpret/terminator.rs
+++ b/compiler/rustc_const_eval/src/interpret/terminator.rs
@@ -98,14 +98,12 @@ pub(super) fn eval_terminator(
                 for (const_int, target) in targets.iter() {
                     // Compare using MIR BinOp::Eq, to also support pointer values.
                     // (Avoiding `self.binary_op` as that does some redundant layout computation.)
-                    let res = self
-                        .overflowing_binary_op(
-                            mir::BinOp::Eq,
-                            &discr,
-                            &ImmTy::from_uint(const_int, discr.layout),
-                        )?
-                        .0;
-                    if res.to_bool()? {
+                    let res = self.wrapping_binary_op(
+                        mir::BinOp::Eq,
+                        &discr,
+                        &ImmTy::from_uint(const_int, discr.layout),
+                    )?;
+                    if res.to_scalar().to_bool()? {
                         target_block = target;
                         break;
                     }
diff --git a/compiler/rustc_mir_transform/src/const_prop.rs b/compiler/rustc_mir_transform/src/const_prop.rs
index c6aac2ca213..b44d86e658f 100644
--- a/compiler/rustc_mir_transform/src/const_prop.rs
+++ b/compiler/rustc_mir_transform/src/const_prop.rs
@@ -210,7 +210,7 @@ fn binary_ptr_op(
         _bin_op: BinOp,
         _left: &ImmTy<'tcx>,
         _right: &ImmTy<'tcx>,
-    ) -> InterpResult<'tcx, (Scalar, bool, Ty<'tcx>)> {
+    ) -> InterpResult<'tcx, (ImmTy<'tcx>, bool)> {
         // We can't do this because aliasing of memory can differ between const eval and llvm
         throw_machine_stop_str!("pointer arithmetic or comparisons aren't supported in ConstProp")
     }
diff --git a/compiler/rustc_mir_transform/src/const_prop_lint.rs b/compiler/rustc_mir_transform/src/const_prop_lint.rs
index fb33b3b49d3..8bf2ccc63c7 100644
--- a/compiler/rustc_mir_transform/src/const_prop_lint.rs
+++ b/compiler/rustc_mir_transform/src/const_prop_lint.rs
@@ -322,7 +322,7 @@ fn report_assert_as_lint(&self, source_info: &SourceInfo, lint: AssertLint<impl
     fn check_unary_op(&mut self, op: UnOp, arg: &Operand<'tcx>, location: Location) -> Option<()> {
         if let (val, true) = self.use_ecx(location, |this| {
             let val = this.ecx.read_immediate(&this.ecx.eval_operand(arg, None)?)?;
-            let (_res, overflow, _ty) = this.ecx.overflowing_unary_op(op, &val)?;
+            let (_res, overflow) = this.ecx.overflowing_unary_op(op, &val)?;
             Ok((val, overflow))
         })? {
             // `AssertKind` only has an `OverflowNeg` variant, so make sure that is
@@ -390,7 +390,7 @@ fn check_binary_op(
         if let (Some(l), Some(r)) = (l, r) {
             // The remaining operators are handled through `overflowing_binary_op`.
             if self.use_ecx(location, |this| {
-                let (_res, overflow, _ty) = this.ecx.overflowing_binary_op(op, &l, &r)?;
+                let (_res, overflow) = this.ecx.overflowing_binary_op(op, &l, &r)?;
                 Ok(overflow)
             })? {
                 let source_info = self.body().source_info(location);
diff --git a/compiler/rustc_mir_transform/src/dataflow_const_prop.rs b/compiler/rustc_mir_transform/src/dataflow_const_prop.rs
index cf827c98894..d3e85dc8e0a 100644
--- a/compiler/rustc_mir_transform/src/dataflow_const_prop.rs
+++ b/compiler/rustc_mir_transform/src/dataflow_const_prop.rs
@@ -238,7 +238,7 @@ fn handle_rvalue(
                     FlatSet::Elem(op) => self
                         .ecx
                         .int_to_int_or_float(&op, *ty)
-                        .map_or(FlatSet::Top, |result| self.wrap_immediate(result)),
+                        .map_or(FlatSet::Top, |result| self.wrap_immediate(*result)),
                     FlatSet::Bottom => FlatSet::Bottom,
                     FlatSet::Top => FlatSet::Top,
                 }
@@ -248,7 +248,7 @@ fn handle_rvalue(
                     FlatSet::Elem(op) => self
                         .ecx
                         .float_to_float_or_int(&op, *ty)
-                        .map_or(FlatSet::Top, |result| self.wrap_immediate(result)),
+                        .map_or(FlatSet::Top, |result| self.wrap_immediate(*result)),
                     FlatSet::Bottom => FlatSet::Bottom,
                     FlatSet::Top => FlatSet::Top,
                 }
@@ -268,7 +268,7 @@ fn handle_rvalue(
             Rvalue::UnaryOp(op, operand) => match self.eval_operand(operand, state) {
                 FlatSet::Elem(value) => self
                     .ecx
-                    .unary_op(*op, &value)
+                    .wrapping_unary_op(*op, &value)
                     .map_or(FlatSet::Top, |val| self.wrap_immediate(*val)),
                 FlatSet::Bottom => FlatSet::Bottom,
                 FlatSet::Top => FlatSet::Top,
@@ -439,7 +439,9 @@ fn binary_op(
             // Both sides are known, do the actual computation.
             (FlatSet::Elem(left), FlatSet::Elem(right)) => {
                 match self.ecx.overflowing_binary_op(op, &left, &right) {
-                    Ok((val, overflow, _)) => (FlatSet::Elem(val), FlatSet::Elem(overflow)),
+                    Ok((val, overflow)) => {
+                        (FlatSet::Elem(val.to_scalar()), FlatSet::Elem(overflow))
+                    }
                     _ => (FlatSet::Top, FlatSet::Top),
                 }
             }
@@ -783,8 +785,8 @@ fn binary_ptr_op(
         _bin_op: BinOp,
         _left: &rustc_const_eval::interpret::ImmTy<'tcx, Self::Provenance>,
         _right: &rustc_const_eval::interpret::ImmTy<'tcx, Self::Provenance>,
-    ) -> interpret::InterpResult<'tcx, (Scalar<Self::Provenance>, bool, Ty<'tcx>)> {
-        throw_unsup!(Unsupported("".into()))
+    ) -> interpret::InterpResult<'tcx, (ImmTy<'tcx, Self::Provenance>, bool)> {
+        crate::const_prop::throw_machine_stop_str!("can't do pointer arithmetic");
     }
 
     fn expose_ptr(
diff --git a/src/tools/miri/src/concurrency/data_race.rs b/src/tools/miri/src/concurrency/data_race.rs
index 073b8b6a661..24b9fa0776f 100644
--- a/src/tools/miri/src/concurrency/data_race.rs
+++ b/src/tools/miri/src/concurrency/data_race.rs
@@ -516,8 +516,8 @@ fn atomic_op_immediate(
         let old = this.allow_data_races_mut(|this| this.read_immediate(place))?;
 
         // Atomics wrap around on overflow.
-        let val = this.binary_op(op, &old, rhs)?;
-        let val = if neg { this.unary_op(mir::UnOp::Not, &val)? } else { val };
+        let val = this.wrapping_binary_op(op, &old, rhs)?;
+        let val = if neg { this.wrapping_unary_op(mir::UnOp::Not, &val)? } else { val };
         this.allow_data_races_mut(|this| this.write_immediate(*val, place))?;
 
         this.validate_atomic_rmw(place, atomic)?;
@@ -561,7 +561,7 @@ fn atomic_min_max_scalar(
 
         this.validate_overlapping_atomic(place)?;
         let old = this.allow_data_races_mut(|this| this.read_immediate(place))?;
-        let lt = this.binary_op(mir::BinOp::Lt, &old, &rhs)?.to_scalar().to_bool()?;
+        let lt = this.wrapping_binary_op(mir::BinOp::Lt, &old, &rhs)?.to_scalar().to_bool()?;
 
         let new_val = if min {
             if lt { &old } else { &rhs }
@@ -605,7 +605,7 @@ fn atomic_compare_exchange_scalar(
         // Read as immediate for the sake of `binary_op()`
         let old = this.allow_data_races_mut(|this| this.read_immediate(place))?;
         // `binary_op` will bail if either of them is not a scalar.
-        let eq = this.binary_op(mir::BinOp::Eq, &old, expect_old)?;
+        let eq = this.wrapping_binary_op(mir::BinOp::Eq, &old, expect_old)?;
         // If the operation would succeed, but is "weak", fail some portion
         // of the time, based on `success_rate`.
         let success_rate = 1.0 - this.machine.cmpxchg_weak_failure_rate;
diff --git a/src/tools/miri/src/helpers.rs b/src/tools/miri/src/helpers.rs
index b05087134a0..d5b658969e3 100644
--- a/src/tools/miri/src/helpers.rs
+++ b/src/tools/miri/src/helpers.rs
@@ -1015,13 +1015,13 @@ fn float_to_int_checked<F>(
         f: F,
         dest_ty: Ty<'tcx>,
         round: rustc_apfloat::Round,
-    ) -> Option<Scalar<Provenance>>
+    ) -> Option<ImmTy<'tcx, Provenance>>
     where
         F: rustc_apfloat::Float + Into<Scalar<Provenance>>,
     {
         let this = self.eval_context_ref();
 
-        match dest_ty.kind() {
+        let val = match dest_ty.kind() {
             // Unsigned
             ty::Uint(t) => {
                 let size = Integer::from_uint_ty(this, *t).size();
@@ -1033,11 +1033,11 @@ fn float_to_int_checked<F>(
                 ) {
                     // Floating point value is NaN (flagged with INVALID_OP) or outside the range
                     // of values of the integer type (flagged with OVERFLOW or UNDERFLOW).
-                    None
+                    return None
                 } else {
                     // Floating point value can be represented by the integer type after rounding.
                     // The INEXACT flag is ignored on purpose to allow rounding.
-                    Some(Scalar::from_uint(res.value, size))
+                    Scalar::from_uint(res.value, size)
                 }
             }
             // Signed
@@ -1051,11 +1051,11 @@ fn float_to_int_checked<F>(
                 ) {
                     // Floating point value is NaN (flagged with INVALID_OP) or outside the range
                     // of values of the integer type (flagged with OVERFLOW or UNDERFLOW).
-                    None
+                    return None
                 } else {
                     // Floating point value can be represented by the integer type after rounding.
                     // The INEXACT flag is ignored on purpose to allow rounding.
-                    Some(Scalar::from_int(res.value, size))
+                    Scalar::from_int(res.value, size)
                 }
             }
             // Nothing else
@@ -1064,7 +1064,8 @@ fn float_to_int_checked<F>(
                     this.cur_span(),
                     "attempted float-to-int conversion with non-int output type {dest_ty:?}"
                 ),
-        }
+        };
+        Some(ImmTy::from_scalar(val, this.layout_of(dest_ty).unwrap()))
     }
 
     /// Returns an integer type that is twice wide as `ty`
diff --git a/src/tools/miri/src/machine.rs b/src/tools/miri/src/machine.rs
index ce7f47b5b4f..f1c50794ca8 100644
--- a/src/tools/miri/src/machine.rs
+++ b/src/tools/miri/src/machine.rs
@@ -998,7 +998,7 @@ fn binary_ptr_op(
         bin_op: mir::BinOp,
         left: &ImmTy<'tcx, Provenance>,
         right: &ImmTy<'tcx, Provenance>,
-    ) -> InterpResult<'tcx, (Scalar<Provenance>, bool, Ty<'tcx>)> {
+    ) -> InterpResult<'tcx, (ImmTy<'tcx, Provenance>, bool)> {
         ecx.binary_ptr_op(bin_op, left, right)
     }
 
diff --git a/src/tools/miri/src/operator.rs b/src/tools/miri/src/operator.rs
index 368aa2bacdc..27fe7374ea5 100644
--- a/src/tools/miri/src/operator.rs
+++ b/src/tools/miri/src/operator.rs
@@ -1,6 +1,6 @@
 use log::trace;
 
-use rustc_middle::{mir, ty::Ty};
+use rustc_middle::mir;
 use rustc_target::abi::Size;
 
 use crate::*;
@@ -11,7 +11,7 @@ fn binary_ptr_op(
         bin_op: mir::BinOp,
         left: &ImmTy<'tcx, Provenance>,
         right: &ImmTy<'tcx, Provenance>,
-    ) -> InterpResult<'tcx, (Scalar<Provenance>, bool, Ty<'tcx>)>;
+    ) -> InterpResult<'tcx, (ImmTy<'tcx, Provenance>, bool)>;
 }
 
 impl<'mir, 'tcx> EvalContextExt<'tcx> for super::MiriInterpCx<'mir, 'tcx> {
@@ -20,7 +20,7 @@ fn binary_ptr_op(
         bin_op: mir::BinOp,
         left: &ImmTy<'tcx, Provenance>,
         right: &ImmTy<'tcx, Provenance>,
-    ) -> InterpResult<'tcx, (Scalar<Provenance>, bool, Ty<'tcx>)> {
+    ) -> InterpResult<'tcx, (ImmTy<'tcx, Provenance>, bool)> {
         use rustc_middle::mir::BinOp::*;
 
         trace!("ptr_op: {:?} {:?} {:?}", *left, bin_op, *right);
@@ -50,7 +50,7 @@ fn binary_ptr_op(
                     Ge => left >= right,
                     _ => bug!(),
                 };
-                (Scalar::from_bool(res), false, self.tcx.types.bool)
+                (ImmTy::from_bool(res, *self.tcx), false)
             }
 
             // Some more operations are possible with atomics.
@@ -65,12 +65,12 @@ fn binary_ptr_op(
                     right.to_scalar().to_target_usize(self)?,
                     self.machine.layouts.usize,
                 );
-                let (result, overflowing, _ty) =
+                let (result, overflowing) =
                     self.overflowing_binary_op(bin_op, &left, &right)?;
                 // Construct a new pointer with the provenance of `ptr` (the LHS).
                 let result_ptr =
-                    Pointer::new(ptr.provenance, Size::from_bytes(result.to_target_usize(self)?));
-                (Scalar::from_maybe_pointer(result_ptr, self), overflowing, left.layout.ty)
+                    Pointer::new(ptr.provenance, Size::from_bytes(result.to_scalar().to_target_usize(self)?));
+                (ImmTy::from_scalar(Scalar::from_maybe_pointer(result_ptr, self), left.layout), overflowing)
             }
 
             _ => span_bug!(self.cur_span(), "Invalid operator on pointers: {:?}", bin_op),
diff --git a/src/tools/miri/src/shims/intrinsics/mod.rs b/src/tools/miri/src/shims/intrinsics/mod.rs
index ef9d0710448..224ef97a1e1 100644
--- a/src/tools/miri/src/shims/intrinsics/mod.rs
+++ b/src/tools/miri/src/shims/intrinsics/mod.rs
@@ -89,10 +89,9 @@ fn emulate_intrinsic_by_name(
                 let [left, right] = check_arg_count(args)?;
                 let left = this.read_immediate(left)?;
                 let right = this.read_immediate(right)?;
-                let (val, _overflowed, _ty) =
-                    this.overflowing_binary_op(mir::BinOp::Eq, &left, &right)?;
+                let val = this.wrapping_binary_op(mir::BinOp::Eq, &left, &right)?;
                 // We're type punning a bool as an u8 here.
-                this.write_scalar(val, dest)?;
+                this.write_scalar(val.to_scalar(), dest)?;
             }
             "const_allocate" => {
                 // For now, for compatibility with the run-time implementation of this, we just return null.
@@ -396,7 +395,7 @@ fn emulate_intrinsic_by_name(
                         ),
                 };
 
-                this.write_scalar(res, dest)?;
+                this.write_immediate(*res, dest)?;
             }
 
             // Other
diff --git a/src/tools/miri/src/shims/intrinsics/simd.rs b/src/tools/miri/src/shims/intrinsics/simd.rs
index 626ead378e7..98b21f768b1 100644
--- a/src/tools/miri/src/shims/intrinsics/simd.rs
+++ b/src/tools/miri/src/shims/intrinsics/simd.rs
@@ -60,7 +60,7 @@ enum Op {
                     let op = this.read_immediate(&this.project_index(&op, i)?)?;
                     let dest = this.project_index(&dest, i)?;
                     let val = match which {
-                        Op::MirOp(mir_op) => this.unary_op(mir_op, &op)?.to_scalar(),
+                        Op::MirOp(mir_op) => this.wrapping_unary_op(mir_op, &op)?.to_scalar(),
                         Op::Abs => {
                             // Works for f32 and f64.
                             let ty::Float(float_ty) = op.layout.ty.kind() else {
@@ -177,7 +177,7 @@ enum Op {
                     let dest = this.project_index(&dest, i)?;
                     let val = match which {
                         Op::MirOp(mir_op) => {
-                            let (val, overflowed, ty) = this.overflowing_binary_op(mir_op, &left, &right)?;
+                            let (val, overflowed) = this.overflowing_binary_op(mir_op, &left, &right)?;
                             if matches!(mir_op, BinOp::Shl | BinOp::Shr) {
                                 // Shifts have extra UB as SIMD operations that the MIR binop does not have.
                                 // See <https://github.com/rust-lang/rust/issues/91237>.
@@ -188,13 +188,13 @@ enum Op {
                             }
                             if matches!(mir_op, BinOp::Eq | BinOp::Ne | BinOp::Lt | BinOp::Le | BinOp::Gt | BinOp::Ge) {
                                 // Special handling for boolean-returning operations
-                                assert_eq!(ty, this.tcx.types.bool);
-                                let val = val.to_bool().unwrap();
+                                assert_eq!(val.layout.ty, this.tcx.types.bool);
+                                let val = val.to_scalar().to_bool().unwrap();
                                 bool_to_simd_element(val, dest.layout.size)
                             } else {
-                                assert_ne!(ty, this.tcx.types.bool);
-                                assert_eq!(ty, dest.layout.ty);
-                                val
+                                assert_ne!(val.layout.ty, this.tcx.types.bool);
+                                assert_eq!(val.layout.ty, dest.layout.ty);
+                                val.to_scalar()
                             }
                         }
                         Op::SaturatingOp(mir_op) => {
@@ -304,18 +304,18 @@ enum Op {
                     let op = this.read_immediate(&this.project_index(&op, i)?)?;
                     res = match which {
                         Op::MirOp(mir_op) => {
-                            this.binary_op(mir_op, &res, &op)?
+                            this.wrapping_binary_op(mir_op, &res, &op)?
                         }
                         Op::MirOpBool(mir_op) => {
                             let op = imm_from_bool(simd_element_to_bool(op)?);
-                            this.binary_op(mir_op, &res, &op)?
+                            this.wrapping_binary_op(mir_op, &res, &op)?
                         }
                         Op::Max => {
                             if matches!(res.layout.ty.kind(), ty::Float(_)) {
                                 ImmTy::from_scalar(fmax_op(&res, &op)?, res.layout)
                             } else {
                                 // Just boring integers, so NaNs to worry about
-                                if this.binary_op(BinOp::Ge, &res, &op)?.to_scalar().to_bool()? {
+                                if this.wrapping_binary_op(BinOp::Ge, &res, &op)?.to_scalar().to_bool()? {
                                     res
                                 } else {
                                     op
@@ -327,7 +327,7 @@ enum Op {
                                 ImmTy::from_scalar(fmin_op(&res, &op)?, res.layout)
                             } else {
                                 // Just boring integers, so NaNs to worry about
-                                if this.binary_op(BinOp::Le, &res, &op)?.to_scalar().to_bool()? {
+                                if this.wrapping_binary_op(BinOp::Le, &res, &op)?.to_scalar().to_bool()? {
                                     res
                                 } else {
                                     op
@@ -356,7 +356,7 @@ enum Op {
                 let mut res = init;
                 for i in 0..op_len {
                     let op = this.read_immediate(&this.project_index(&op, i)?)?;
-                    res = this.binary_op(mir_op, &res, &op)?;
+                    res = this.wrapping_binary_op(mir_op, &res, &op)?;
                 }
                 this.write_immediate(*res, dest)?;
             }
@@ -487,7 +487,7 @@ enum Op {
                                 to_ty = dest.layout.ty,
                             ),
                     };
-                    this.write_immediate(val, &dest)?;
+                    this.write_immediate(*val, &dest)?;
                 }
             }
             "shuffle" => {
diff --git a/src/tools/miri/src/shims/x86/mod.rs b/src/tools/miri/src/shims/x86/mod.rs
index ccc729aae1a..cbdc500be78 100644
--- a/src/tools/miri/src/shims/x86/mod.rs
+++ b/src/tools/miri/src/shims/x86/mod.rs
@@ -80,8 +80,8 @@ fn bin_op_float<'tcx, F: rustc_apfloat::Float>(
 ) -> InterpResult<'tcx, Scalar<Provenance>> {
     match which {
         FloatBinOp::Arith(which) => {
-            let (res, _overflow, _ty) = this.overflowing_binary_op(which, left, right)?;
-            Ok(res)
+            let res = this.wrapping_binary_op(which, left, right)?;
+            Ok(res.to_scalar())
         }
         FloatBinOp::Cmp(which) => {
             let left = left.to_scalar().to_float::<F>()?;
diff --git a/src/tools/miri/src/shims/x86/sse.rs b/src/tools/miri/src/shims/x86/sse.rs
index 30ad088206a..17a39660edb 100644
--- a/src/tools/miri/src/shims/x86/sse.rs
+++ b/src/tools/miri/src/shims/x86/sse.rs
@@ -175,10 +175,10 @@ fn emulate_x86_sse_intrinsic(
 
                 let res = this.float_to_int_checked(op, dest.layout.ty, rnd).unwrap_or_else(|| {
                     // Fallback to minimum acording to SSE semantics.
-                    Scalar::from_int(dest.layout.size.signed_int_min(), dest.layout.size)
+                    ImmTy::from_int(dest.layout.size.signed_int_min(), dest.layout)
                 });
 
-                this.write_scalar(res, dest)?;
+                this.write_immediate(*res, dest)?;
             }
             // Used to implement the _mm_cvtsi32_ss and _mm_cvtsi64_ss functions.
             // Converts `right` from i32/i64 to f32. Returns a SIMD vector with
@@ -197,7 +197,7 @@ fn emulate_x86_sse_intrinsic(
                 let right = this.read_immediate(right)?;
                 let dest0 = this.project_index(&dest, 0)?;
                 let res0 = this.int_to_int_or_float(&right, dest0.layout.ty)?;
-                this.write_immediate(res0, &dest0)?;
+                this.write_immediate(*res0, &dest0)?;
 
                 for i in 1..dest_len {
                     this.copy_op(
diff --git a/src/tools/miri/src/shims/x86/sse2.rs b/src/tools/miri/src/shims/x86/sse2.rs
index b68690a835c..03b298a23ec 100644
--- a/src/tools/miri/src/shims/x86/sse2.rs
+++ b/src/tools/miri/src/shims/x86/sse2.rs
@@ -62,30 +62,30 @@ fn emulate_x86_sse2_intrinsic(
                     let right = this.int_to_int_or_float(&right, twice_wide_ty)?;
 
                     // Calculate left + right + 1
-                    let (added, _overflow, _ty) = this.overflowing_binary_op(
+                    let added = this.wrapping_binary_op(
                         mir::BinOp::Add,
-                        &ImmTy::from_immediate(left, twice_wide_layout),
-                        &ImmTy::from_immediate(right, twice_wide_layout),
+                        &left,
+                        &right,
                     )?;
-                    let (added, _overflow, _ty) = this.overflowing_binary_op(
+                    let added = this.wrapping_binary_op(
                         mir::BinOp::Add,
-                        &ImmTy::from_scalar(added, twice_wide_layout),
+                        &added,
                         &ImmTy::from_uint(1u32, twice_wide_layout),
                     )?;
 
                     // Calculate (left + right + 1) / 2
-                    let (divided, _overflow, _ty) = this.overflowing_binary_op(
+                    let divided = this.wrapping_binary_op(
                         mir::BinOp::Div,
-                        &ImmTy::from_scalar(added, twice_wide_layout),
+                        &added,
                         &ImmTy::from_uint(2u32, twice_wide_layout),
                     )?;
 
                     // Narrow back to the original type
                     let res = this.int_to_int_or_float(
-                        &ImmTy::from_scalar(divided, twice_wide_layout),
+                        &divided,
                         dest.layout.ty,
                     )?;
-                    this.write_immediate(res, &dest)?;
+                    this.write_immediate(*res, &dest)?;
                 }
             }
             // Used to implement the _mm_mulhi_epi16 and _mm_mulhi_epu16 functions.
@@ -112,24 +112,24 @@ fn emulate_x86_sse2_intrinsic(
                     let right = this.int_to_int_or_float(&right, twice_wide_ty)?;
 
                     // Multiply
-                    let (multiplied, _overflow, _ty) = this.overflowing_binary_op(
+                    let multiplied = this.wrapping_binary_op(
                         mir::BinOp::Mul,
-                        &ImmTy::from_immediate(left, twice_wide_layout),
-                        &ImmTy::from_immediate(right, twice_wide_layout),
+                        &left,
+                        &right,
                     )?;
                     // Keep the high half
-                    let (high, _overflow, _ty) = this.overflowing_binary_op(
+                    let high = this.wrapping_binary_op(
                         mir::BinOp::Shr,
-                        &ImmTy::from_scalar(multiplied, twice_wide_layout),
+                        &multiplied,
                         &ImmTy::from_uint(dest.layout.size.bits(), twice_wide_layout),
                     )?;
 
                     // Narrow back to the original type
                     let res = this.int_to_int_or_float(
-                        &ImmTy::from_scalar(high, twice_wide_layout),
+                        &high,
                         dest.layout.ty,
                     )?;
-                    this.write_immediate(res, &dest)?;
+                    this.write_immediate(*res, &dest)?;
                 }
             }
             // Used to implement the _mm_mul_epu32 function.
@@ -394,9 +394,9 @@ enum ShiftOp {
                     let res =
                         this.float_to_int_checked(op, dest.layout.ty, rnd).unwrap_or_else(|| {
                             // Fallback to minimum acording to SSE2 semantics.
-                            Scalar::from_i32(i32::MIN)
+                            ImmTy::from_int(i32::MIN, this.machine.layouts.i32)
                         });
-                    this.write_scalar(res, &dest)?;
+                    this.write_immediate(*res, &dest)?;
                 }
             }
             // Used to implement the _mm_packs_epi16 function.
@@ -649,7 +649,7 @@ enum ShiftOp {
                     let dest = this.project_index(&dest, i)?;
 
                     let res = this.float_to_float_or_int(&op, dest.layout.ty)?;
-                    this.write_immediate(res, &dest)?;
+                    this.write_immediate(*res, &dest)?;
                 }
                 // For f32 -> f64, ignore the remaining
                 // For f64 -> f32, fill the remaining with zeros
@@ -687,9 +687,9 @@ enum ShiftOp {
                     let res =
                         this.float_to_int_checked(op, dest.layout.ty, rnd).unwrap_or_else(|| {
                             // Fallback to minimum acording to SSE2 semantics.
-                            Scalar::from_i32(i32::MIN)
+                            ImmTy::from_int(i32::MIN, this.machine.layouts.i32)
                         });
-                    this.write_scalar(res, &dest)?;
+                    this.write_immediate(*res, &dest)?;
                 }
                 // Fill the remaining with zeros
                 for i in op_len..dest_len {
@@ -718,10 +718,10 @@ enum ShiftOp {
 
                 let res = this.float_to_int_checked(op, dest.layout.ty, rnd).unwrap_or_else(|| {
                     // Fallback to minimum acording to SSE semantics.
-                    Scalar::from_int(dest.layout.size.signed_int_min(), dest.layout.size)
+                    ImmTy::from_int(dest.layout.size.signed_int_min(), dest.layout)
                 });
 
-                this.write_scalar(res, dest)?;
+                this.write_immediate(*res, dest)?;
             }
             // Used to implement the _mm_cvtsd_ss and _mm_cvtss_sd functions.
             // Converts the first f64/f32 from `right` to f32/f64 and copies
@@ -742,7 +742,7 @@ enum ShiftOp {
                 // `float_to_float_or_int` here will convert from f64 to f32 (cvtsd2ss) or
                 // from f32 to f64 (cvtss2sd).
                 let res0 = this.float_to_float_or_int(&right0, dest0.layout.ty)?;
-                this.write_immediate(res0, &dest0)?;
+                this.write_immediate(*res0, &dest0)?;
 
                 // Copy remianing from `left`
                 for i in 1..dest_len {