`datasets.map` not reusing cached copy by default
This can happen when a map transform cannot be hashed deterministically (e.g., an object referenced by the transform changes its state after the first call - an issue with fast tokenizers). The solution is to provide `cache_file_name` in the `map` call to check this file for the cached result instead of relying on the default caching mechanism.
### Describe the bug

When I load the dataset from local directory, it's cached copy is picked up after first time. However, for `map` operation, the operation is applied again and cached copy is not picked up. Is there any way to pick cached copy instead of processing it again? The only solution I could think of was to use `save_to_disk` after my last transform and then use that in my DataLoader pipeline. Are there any other solutions for the same?

One more thing, my dataset is occupying 6GB storage memory after I use `map`, is there any way I can reduce that memory usage?


### Steps to reproduce the bug

```
# make sure that dataset decodes audio with correct sampling rate
dataset_sampling_rate = next(iter(self.raw_datasets.values())).features["audio"].sampling_rate
if dataset_sampling_rate != self.feature_extractor.sampling_rate:
    self.raw_datasets = self.raw_datasets.cast_column(
        "audio", datasets.features.Audio(sampling_rate=self.feature_extractor.sampling_rate)
    )

vectorized_datasets = self.raw_datasets.map(
    self.prepare_dataset,
    remove_columns=next(iter(self.raw_datasets.values())).column_names,
    num_proc=self.num_workers,
    desc="preprocess datasets",
)
# filter data that is longer than max_input_length
self.vectorized_datasets = vectorized_datasets.filter(
    self.is_audio_in_length_range,
    num_proc=self.num_workers,
    input_columns=["input_length"],
        )

def prepare_dataset(self, batch):
    # load audio
    sample = batch["audio"]
    inputs = self.feature_extractor(sample["array"], sampling_rate=sample["sampling_rate"])
    batch["input_values"] = inputs.input_values[0]
    batch["input_length"] = len(batch["input_values"])

    batch["labels"] = self.tokenizer(batch["target_text"]).input_ids
    return batch

```

### Expected behavior

`map` to use cached copy and if possible an alternative technique to reduce memory usage after using `map`

### Environment info


- `datasets` version: 2.12.0
- Platform: Linux-3.10.0-1160.71.1.el7.x86_64-x86_64-with-glibc2.17
- Python version: 3.8.16
- Huggingface_hub version: 0.15.1
- PyArrow version: 12.0.0
- Pandas version: 2.0.2
