Port forward tree iterator from python to rust.

Cargo.lock

@@ -609,6 +609,12 @@ dependencies = [
  "tracing",
 ]
 
+[[package]]
+name = "hamming"
+version = "0.1.3"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "65043da274378d68241eb9a8f8f8aa54e349136f7b8e12f63e3ef44043cc30e1"
+
 [[package]]
 name = "hashbrown"
 version = "0.12.3"
@@ -1047,6 +1053,7 @@ dependencies = [
  "opentelemetry",
  "opentelemetry-otlp",
  "opentelemetry-semantic-conventions",
+ "primal",
  "serde",
  "serde_json",
  "sha2",
@@ -1339,6 +1346,52 @@ dependencies = [
  "zerocopy",
 ]
 
+[[package]]
+name = "primal"
+version = "0.3.3"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "b1e5f354948532e6017fc91f9a5ff5ba1be0dabd3a0c9e9c417969cd4c1ad6e8"
+dependencies = [
+ "primal-check",
+ "primal-estimate",
+ "primal-sieve",
+]
+
+[[package]]
+name = "primal-bit"
+version = "0.3.2"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "252429dbb8aeacc3233df500dc3a6a367bf28eb3a711272884d7540a7b636055"
+dependencies = [
+ "hamming",
+]
+
+[[package]]
+name = "primal-check"
+version = "0.3.4"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "dc0d895b311e3af9902528fbb8f928688abbd95872819320517cc24ca6b2bd08"
+dependencies = [
+ "num-integer",
+]
+
+[[package]]
+name = "primal-estimate"
+version = "0.3.3"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "a432100a0b3a61085e75b5f89e9f42de73c0acb7dea5038b893697918105d822"
+
+[[package]]
+name = "primal-sieve"
+version = "0.3.7"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "8e982796d82203351983d3602a8d6372d1d7894e86960047ba0d4b7426a5edd3"
+dependencies = [
+ "primal-bit",
+ "primal-estimate",
+ "smallvec",
+]
+
 [[package]]
 name = "proc-macro2"
 version = "1.0.105"