complete all of the callback implementations for Nx.Backend

[ityonemo]

• [ ] iota
• [ ] random_uniform
• [ ] random_normal
• [ ] to_batched_list
• [x] to_binary
• [ ] backend_deallocate
• [ ] backend_transfer
• [ ] tensor
• [x] inspect
• [x] from_binary
• [ ] as_type
• [ ] reshape
• [ ] squeeze
• [ ] broadcast
• [ ] transpose
• [ ] pad
• [ ] reverse
• [ ] dot
• [ ] clip
• [ ] slice
• [ ] concatenate
• [ ] select
• [ ] conv
• [ ] all?
• [ ] any?
• [ ] sum
• [ ] product
• [ ] reduce_max
• [ ] reduce_min
• [ ] argmax
• [ ] argmin
• [ ] reduce
• [ ] reduce_window
• [ ] window_sum
• [ ] window_product
• [ ] window_max
• [ ] window_min
• [ ] map
• [ ] sort
• [ ] cholesky
• [x] add
• [ ] subtract
• [x] multiply
• [ ] power
• [ ] remainder
• [ ] divide
• [ ] arctan2
• [ ] min
• [ ] max
• [ ] quotient
• [ ] bitwise_and
• [ ] bitwise_or
• [ ] bitwise_xor
• [ ] left_shift
• [ ] right_shift
• [ ] equal
• [ ] not_equal
• [ ] greater
• [ ] less
• [ ] greater_equal
• [ ] less_equal
• [ ] logical_and
• [ ] logical_or
• [ ] logical_xor
• [ ] outer

[fire]

Can you pick one and write how to complete one of them?

[ityonemo]

the starter ones are the binary tensor ops, the implementation lives here:

https://github.com/ityonemo/ez/blob/af2dd139d953f42d0f0a3bd4695907ad7bc69db2/lib/ez/zig_slice_backend.ex#L31-L64

tests are here: https://github.com/ityonemo/ez/blob/af2dd139d953f42d0f0a3bd4695907ad7bc69db2/test/ez_test.exs#L15-L61

most of the other tensor ops should be straightforward, but will need a different harness (since they emit a different type, e.g. the boolean ones).

Not sure if reduce or map are possible since those require calling out to elixir or an nx-rewritten ast sort of a thing, but I think it's ultimately doable

[ityonemo]

related: https://github.com/ityonemo/ez/issues/6