Guide doesn't seem to work

Apologies in advance for a mess of an issue, I'm struggling to get started with rust-gpu and running in to different issues with the docs.

I tried to follow https://rust-gpu.github.io/rust-gpu/book/writing-shader-crates.html but something seems off there and I'm not sure what, been struggling with it for hours.

First error I get is

error: failed to run custom build command for `rustc_codegen_spirv v0.9.0`

Caused by:
  process didn't exit successfully: `[path]/builder/target/debug/build/rustc_codegen_spirv-ffa44511fcb54869/build-script-build` (exit status: 1)
  --- stdout
  cargo:rerun-if-env-changed=RUSTGPU_SKIP_TOOLCHAIN_CHECK

  --- stderr
  error: wrong toolchain detected (found commit hash `be19eda0dc4c22c5cf5f1b48fd163acf9bd4b0a6`, expected `1a5f8bce74ee432f7cc3aa131bc3d6920e06de10`).
  Make sure your `rust-toolchain.toml` file contains the following:
  -------------
  [toolchain]
  channel = "nightly-2023-05-27"
  components = ["rust-src", "rustc-dev", "llvm-tools-preview"]
  -------------

So I updated channel to "nightly-2023-05-27" instead of the one suggested in the docs, but then I get:

error: failed to parse lock file at: [path]/builder/Cargo.lock

Caused by:
  lock file version `4` was found, but this version of Cargo does not understand this lock file, perhaps Cargo needs to be updated?

Changing Cargo.lock version to 3 gives:

error: failed to run custom build command for `builder v0.1.0 ([path]/builder)`

Caused by:
  process didn't exit successfully: `[path]/builder/target/debug/build/builder-ab9d01841427145d/build-script-build` (exit status: 1)
  --- stdout
  cargo:rerun-if-env-changed=RUSTGPU_CODEGEN_ARGS
  cargo:rerun-if-env-changed=RUSTGPU_RUSTFLAGS

  --- stderr
  error: failed to parse lock file at: [path]/shader/Cargo.lock

  Caused by:
    lock file version `4` was found, but this version of Cargo does not understand this lock file, perhaps Cargo needs to be updated?
  Error: BuildFailed

I tried to play with some more settings, and kept bumping in to

  error: missing libm intrinsic _RNvMNtNtNtCsbtJY5FUAdnQ_4libm4math7support3bigNtB2_4u2566signed, which is math::support::big::u256::signed

  error: missing libm intrinsic _RNvXs2_NtNtNtCsbtJY5FUAdnQ_4libm4math7support3bigNtB5_4u256NtNtNtCsktVOBji75Go_4core3ops5arith3Add3add, which is <math::support::big::u256 as core::ops::Add>::add

  error: missing libm intrinsic _RNvXs3_NtNtNtCsbtJY5FUAdnQ_4libm4math7support3bigNtB5_4u256INtNtNtCsktVOBji75Go_4core3ops3bit3ShrmE3shr, which is <math::support::big::u256 as core::ops::Shr<u32>>::shr

  error: missing libm intrinsic _RNvXs4_NtNtNtCsbtJY5FUAdnQ_4libm4math7support3bigoNtNtB7_10int_traits4HInt5widen, which is math::support::big::<impl math::support::int_traits::HInt for u128>::widen

  error: missing libm intrinsic _RNvXs4_NtNtNtCsbtJY5FUAdnQ_4libm4math7support3bigoNtNtB7_10int_traits4HInt10zero_widen, which is math::support::big::<impl math::support::int_traits::HInt for u128>::zero_widen
...

Again, apologies for this mess. I honestly can't figure out what the root cause is and how to get around it.

Any pointers?

Start with the writing-shader-crates guide at the linked URL and compare its instructions with the reported rustc_codegen_spirv toolchain and Cargo.lock errors. Check which documented setup produces the failures; done means the guide gives a reproducible setup that avoids the reported errors or clearly documents the required versions and limitations.