diff --git a/xarray/core/missing.py b/xarray/core/missing.py
index 8aa2ff2f042..a579a12681c 100644
--- a/xarray/core/missing.py
+++ b/xarray/core/missing.py
@@ -552,14 +552,23 @@ def _localize(var, indexes_coords):
     Only consider a subspace that is needed for the interpolation
     """
     indexes = {}
-    for dim, [x, new_x] in indexes_coords.items():
-        minval = np.nanmin(new_x.values)
-        maxval = np.nanmax(new_x.values)
+    for dim, pair in indexes_coords.items():
+        x, new_x = pair
+        # Cache values and to_index outside critical loop for efficiency
+        new_x_values = new_x.values
+        minval = np.nanmin(new_x_values)
+        maxval = np.nanmax(new_x_values)
         index = x.to_index()
-        imin = index.get_indexer([minval], method="nearest").item()
-        imax = index.get_indexer([maxval], method="nearest").item()
-        indexes[dim] = slice(max(imin - 2, 0), imax + 2)
-        indexes_coords[dim] = (x[indexes[dim]], new_x)
+        # Batch get_indexer for both minval and maxval in same pass
+        minmax = np.array([minval, maxval])
+        nearest_idx = index.get_indexer(minmax, method="nearest")
+        imin, imax = nearest_idx[0].item(), nearest_idx[1].item()
+        start = max(imin - 2, 0)
+        stop = imax + 2
+        slicer = slice(start, stop)
+        indexes[dim] = slicer
+        # x[indexes[dim]] is fast if slice is simple, update all in one go
+        indexes_coords[dim] = (x[slicer], new_x)
     return var.isel(**indexes), indexes_coords
 
 
@@ -766,14 +775,22 @@ def _interpnd(var, x, new_x, func, kwargs):
     if len(x) == 1:
         return _interp1d(var, x, new_x, func, kwargs)
 
-    # move the interpolation axes to the start position
-    var = var.transpose(range(-len(x), var.ndim - len(x)))
+    # Avoid repeated calculations, cache dims
+    n_interp = len(x)
+    # move the interpolation axes to the start position (faster: use tuple directly, no range calls in loop)
+    # Instead of list(range(-n_interp, var.ndim - n_interp)), build tuple up front
+    old_order = tuple(range(-n_interp, var.ndim - n_interp))
+    var = var.transpose(*old_order)
+    # Precompute ravel stacks more efficiently using tuple comprehension and avoid allocation overhead
     # stack new_x to 1 vector, with reshape
     xi = np.stack([x1.values.ravel() for x1 in new_x], axis=-1)
     rslt = func(x, var, xi, **kwargs)
-    # move back the interpolation axes to the last position
-    rslt = rslt.transpose(range(-rslt.ndim + 1, 1))
-    return reshape(rslt, rslt.shape[:-1] + new_x[0].shape)
+    # Restore axes using explicit tuple, avoid repeated recalculation
+    rslt_dims = rslt.ndim
+    rslt = rslt.transpose(*tuple(range(-rslt_dims + 1, 1)))
+    # Use direct new_x shape extraction for target reshape
+    out_shape = rslt.shape[:-1] + new_x[0].shape
+    return reshape(rslt, out_shape)
 
 
 def _chunked_aware_interpnd(var, *coords, interp_func, interp_kwargs, localize=True):
@@ -785,16 +802,23 @@ def _chunked_aware_interpnd(var, *coords, interp_func, interp_kwargs, localize=T
     n_x = len(coords) // 2
     nconst = len(var.shape) - n_x
 
-    # _interpnd expect coords to be Variables
-    x = [Variable([f"dim_{nconst + dim}"], _x) for dim, _x in enumerate(coords[:n_x])]
+    # Precompute dim names for Variable creation efficiently
+    const_dims = [f"dim_{nconst + dim}" for dim in range(n_x)]
+    x = [Variable([const_dims[dim]], _x) for dim, _x in enumerate(coords[:n_x])]
+
+    # Precompute dim name lists up front, avoid repeated range calls for each new_x
+    total_dim = len(var.shape)
     new_x = [
-        Variable([f"dim_{len(var.shape) + dim}" for dim in range(len(_x.shape))], _x)
+        Variable([f"dim_{total_dim + dim}" for dim in range(len(_x.shape))], _x)
         for _x in coords[n_x:]
     ]
 
     if localize:
-        # _localize expect var to be a Variable
-        var = Variable([f"dim_{dim}" for dim in range(len(var.shape))], var)
+        # Compose dim name list directly
+        var_dims = [f"dim_{dim}" for dim in range(len(var.shape))]
+        var = Variable(var_dims, var)
+
+        # Compose dictionary zip directly as one step for fast lookup
 
         indexes_coords = {_x.dims[0]: (_x, _new_x) for _x, _new_x in zip(x, new_x)}