refactor: handle derivation generation on Rust side

Cargo.lock

@@ -1781,6 +1781,12 @@ dependencies = [
  "regex-automata",
 ]
 
+[[package]]
+name = "md5"
+version = "0.7.0"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "490cc448043f947bae3cbee9c203358d62dbee0db12107a74be5c30ccfd09771"
+
 [[package]]
 name = "memchr"
 version = "2.8.0"
@@ -1924,6 +1930,7 @@ dependencies = [
  "hashbrown 0.16.1",
  "hex",
  "itertools 0.14.0",
+ "md5",
  "miette",
  "mimalloc",
  "nix-compat",
@@ -1939,6 +1946,7 @@ dependencies = [
  "rustyline",
  "serde",
  "serde_json",
+ "sha1",
  "sha2",
  "string-interner",
  "tap",
@@ -2895,6 +2903,17 @@ dependencies = [
  "v8",
 ]
 
+[[package]]
+name = "sha1"
+version = "0.10.6"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "e3bf829a2d51ab4a5ddf1352d8470c140cadc8301b2ae1789db023f01cedd6ba"
+dependencies = [
+ "cfg-if",
+ "cpufeatures",
+ "digest",
+]
+
 [[package]]
 name = "sha2"
 version = "0.10.9"