feat(zkvms_host_io): Implement new output format for zkvm/guest

6 files changed, 1332 insertions, 79 deletions

diff --git a/zkvms/jolt/host/Cargo.lock b/zkvms/jolt/host/Cargo.lock
index 3ad73e6..8b9aaaa 100644
--- a/zkvms/jolt/host/Cargo.lock
+++ b/zkvms/jolt/host/Cargo.lock
@@ -233,7 +233,7 @@ dependencies = [
  "ark-serialize 0.3.0",
  "ark-std 0.3.0",
  "derivative",
- "num-bigint",
+ "num-bigint 0.4.6",
  "num-traits",
  "paste",
  "rustc_version 0.3.3",
@@ -252,7 +252,7 @@ dependencies = [
  "derivative",
  "digest 0.10.7",
  "itertools 0.10.5",
- "num-bigint",
+ "num-bigint 0.4.6",
  "num-traits",
  "paste",
  "rayon",
@@ -285,7 +285,7 @@ version = "0.3.0"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "db2fd794a08ccb318058009eefdf15bcaaaaf6f8161eb3345f907222bac38b20"
 dependencies = [
- "num-bigint",
+ "num-bigint 0.4.6",
  "num-traits",
  "quote",
  "syn 1.0.109",
@@ -296,7 +296,7 @@ name = "ark-ff-macros"
 version = "0.4.2"
 source = "git+https://github.com/a16z/arkworks-algebra?branch=optimize/field-from-u64#4e67e70d9896e20ca956d456483a45961685e179"
 dependencies = [
- "num-bigint",
+ "num-bigint 0.4.6",
  "num-traits",
  "proc-macro2",
  "quote",
@@ -333,7 +333,7 @@ dependencies = [
  "ark-serialize-derive",
  "ark-std 0.4.0",
  "digest 0.10.7",
- "num-bigint",
+ "num-bigint 0.4.6",
 ]
 
 [[package]]
@@ -401,6 +401,15 @@ dependencies = [
 
 [[package]]
 name = "autocfg"
+version = "0.1.8"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "0dde43e75fd43e8a1bf86103336bc699aa8d17ad1be60c76c0bdfd4828e19b78"
+dependencies = [
+ "autocfg 1.4.0",
+]
+
+[[package]]
+name = "autocfg"
 version = "1.4.0"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "ace50bade8e6234aa140d9a2f552bbee1db4d353f69b8217bc503490fc1a9f26"
@@ -456,7 +465,7 @@ dependencies = [
 [[package]]
 name = "binius_field"
 version = "0.2.0"
-source = "git+https://gitlab.com/UlvetannaOSS/binius#fd35c74f4b6d576fb7da1d1f8038c5f0b3b06837"
+source = "git+https://gitlab.com/UlvetannaOSS/binius#191710b415f5c19fb406816b63a6f082d3f7d758"
 dependencies = [
  "binius_maybe_rayon",
  "binius_utils",
@@ -474,7 +483,7 @@ dependencies = [
 [[package]]
 name = "binius_maybe_rayon"
 version = "0.2.0"
-source = "git+https://gitlab.com/UlvetannaOSS/binius#fd35c74f4b6d576fb7da1d1f8038c5f0b3b06837"
+source = "git+https://gitlab.com/UlvetannaOSS/binius#191710b415f5c19fb406816b63a6f082d3f7d758"
 dependencies = [
  "cfg-if",
  "either",
@@ -484,7 +493,7 @@ dependencies = [
 [[package]]
 name = "binius_utils"
 version = "0.2.0"
-source = "git+https://gitlab.com/UlvetannaOSS/binius#fd35c74f4b6d576fb7da1d1f8038c5f0b3b06837"
+source = "git+https://gitlab.com/UlvetannaOSS/binius#191710b415f5c19fb406816b63a6f082d3f7d758"
 dependencies = [
  "auto_impl",
  "binius_maybe_rayon",
@@ -529,6 +538,12 @@ checksum = "5e764a1d40d510daf35e07be9eb06e75770908c27d411ee6c92109c9840eaaf7"
 
 [[package]]
 name = "bitflags"
+version = "1.3.2"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "bef38d45163c2f1dde094a7dfd33ccf595c92905c8f8f4fdc18d06fb1037718a"
+
+[[package]]
+name = "bitflags"
 version = "2.9.0"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "5c8214115b7bf84099f1309324e63141d4c5d7cc26862f97a0a857dbefe165bd"
@@ -668,6 +683,15 @@ source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "f46ad14479a25103f283c0f10005961cf086d8dc42205bb44c46ac563475dca6"
 
 [[package]]
+name = "cloudabi"
+version = "0.0.3"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "ddfc5b9aa5d4507acaf872de71051dfd0e309860e88966e1051e462a077aac4f"
+dependencies = [
+ "bitflags 1.3.2",
+]
+
+[[package]]
 name = "cobs"
 version = "0.2.3"
 source = "registry+https://github.com/rust-lang/crates.io-index"
@@ -1193,6 +1217,12 @@ dependencies = [
 ]
 
 [[package]]
+name = "fuchsia-cprng"
+version = "0.1.1"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "a06f77d526c1a601b7c4cdd98f54b5eaabffc14d5f2f0296febdc7f357c6d3ba"
+
+[[package]]
 name = "funty"
 version = "2.0.0"
 source = "registry+https://github.com/rust-lang/crates.io-index"
@@ -1971,7 +2001,7 @@ version = "0.1.3"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "c0ff37bd590ca25063e35af745c343cb7a0271906fb7b37e4813e8f79f00268d"
 dependencies = [
- "bitflags",
+ "bitflags 2.9.0",
  "libc",
 ]
 
@@ -1993,7 +2023,7 @@ version = "0.4.12"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "07af8b9cdd281b7915f413fa73f29ebd5d55d0d3f0155584dade1ff18cea1b17"
 dependencies = [
- "autocfg",
+ "autocfg 1.4.0",
  "scopeguard",
 ]
 
@@ -2120,6 +2150,31 @@ dependencies = [
 ]
 
 [[package]]
+name = "num"
+version = "0.2.1"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "b8536030f9fea7127f841b45bb6243b27255787fb4eb83958aa1ef9d2fdc0c36"
+dependencies = [
+ "num-bigint 0.2.6",
+ "num-complex",
+ "num-integer",
+ "num-iter",
+ "num-rational",
+ "num-traits",
+]
+
+[[package]]
+name = "num-bigint"
+version = "0.2.6"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "090c7f9998ee0ff65aa5b723e4009f7b217707f1fb5ea551329cc4d6231fb304"
+dependencies = [
+ "autocfg 1.4.0",
+ "num-integer",
+ "num-traits",
+]
+
+[[package]]
 name = "num-bigint"
 version = "0.4.6"
 source = "registry+https://github.com/rust-lang/crates.io-index"
@@ -2130,6 +2185,16 @@ dependencies = [
 ]
 
 [[package]]
+name = "num-complex"
+version = "0.2.4"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "b6b19411a9719e753aff12e5187b74d60d3dc449ec3f4dc21e3989c3f554bc95"
+dependencies = [
+ "autocfg 1.4.0",
+ "num-traits",
+]
+
+[[package]]
 name = "num-integer"
 version = "0.1.46"
 source = "registry+https://github.com/rust-lang/crates.io-index"
@@ -2139,12 +2204,35 @@ dependencies = [
 ]
 
 [[package]]
+name = "num-iter"
+version = "0.1.45"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "1429034a0490724d0075ebb2bc9e875d6503c3cf69e235a8941aa757d83ef5bf"
+dependencies = [
+ "autocfg 1.4.0",
+ "num-integer",
+ "num-traits",
+]
+
+[[package]]
+name = "num-rational"
+version = "0.2.4"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "5c000134b5dbf44adc5cb772486d335293351644b801551abe8f75c84cfa4aef"
+dependencies = [
+ "autocfg 1.4.0",
+ "num-bigint 0.2.6",
+ "num-integer",
+ "num-traits",
+]
+
+[[package]]
 name = "num-traits"
 version = "0.2.19"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "071dfc062690e90b734c0b2273ce72ad0ffa95f0c74596bc250dcfd960262841"
 dependencies = [
- "autocfg",
+ "autocfg 1.4.0",
  "libm",
 ]
 
@@ -2160,7 +2248,7 @@ version = "0.3.1"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "1c10c2894a6fed806ade6027bcd50662746363a9589d3ec9d9bef30a4e4bc166"
 dependencies = [
- "bitflags",
+ "bitflags 2.9.0",
 ]
 
 [[package]]
@@ -2195,7 +2283,7 @@ version = "0.10.72"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "fedfea7d58a1f73118430a55da6a286e7b044961736ce96a16a17068ea25e5da"
 dependencies = [
- "bitflags",
+ "bitflags 2.9.0",
  "cfg-if",
  "foreign-types",
  "libc",
@@ -2460,12 +2548,12 @@ checksum = "14cae93065090804185d3b75f0bf93b8eeda30c7a9b4a33d3bdb3988d6229e50"
 dependencies = [
  "bit-set 0.8.0",
  "bit-vec 0.8.0",
- "bitflags",
+ "bitflags 2.9.0",
  "lazy_static",
  "num-traits",
  "rand 0.8.5",
  "rand_chacha 0.3.1",
- "rand_xorshift",
+ "rand_xorshift 0.3.0",
  "regex-syntax 0.8.5",
  "rusty-fork",
  "tempfile",
@@ -2501,6 +2589,25 @@ checksum = "dc33ff2d4973d518d823d61aa239014831e521c75da58e3df4840d3f47749d09"
 
 [[package]]
 name = "rand"
+version = "0.6.5"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "6d71dacdc3c88c1fde3885a3be3fbab9f35724e6ce99467f7d9c5026132184ca"
+dependencies = [
+ "autocfg 0.1.8",
+ "libc",
+ "rand_chacha 0.1.1",
+ "rand_core 0.4.2",
+ "rand_hc 0.1.0",
+ "rand_isaac",
+ "rand_jitter",
+ "rand_os",
+ "rand_pcg",
+ "rand_xorshift 0.1.1",
+ "winapi",
+]
+
+[[package]]
+name = "rand"
 version = "0.7.3"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "6a6b1679d49b24bbfe0c803429aa1874472f50d9b363131f0e89fc356b544d03"
@@ -2509,7 +2616,7 @@ dependencies = [
  "libc",
  "rand_chacha 0.2.2",
  "rand_core 0.5.1",
- "rand_hc",
+ "rand_hc 0.2.0",
 ]
 
 [[package]]
@@ -2535,6 +2642,16 @@ dependencies = [
 
 [[package]]
 name = "rand_chacha"
+version = "0.1.1"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "556d3a1ca6600bfcbab7c7c91ccb085ac7fbbcd70e008a98742e7847f4f7bcef"
+dependencies = [
+ "autocfg 0.1.8",
+ "rand_core 0.3.1",
+]
+
+[[package]]
+name = "rand_chacha"
 version = "0.2.2"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "f4c8ed856279c9737206bf725bf36935d8666ead7aa69b52be55af369d193402"
@@ -2565,6 +2682,21 @@ dependencies = [
 
 [[package]]
 name = "rand_core"
+version = "0.3.1"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "7a6fdeb83b075e8266dcc8762c22776f6877a63111121f5f8c7411e5be7eed4b"
+dependencies = [
+ "rand_core 0.4.2",
+]
+
+[[package]]
+name = "rand_core"
+version = "0.4.2"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "9c33a3c44ca05fa6f1807d8e6743f3824e8509beca625669633be0acbdf509dc"
+
+[[package]]
+name = "rand_core"
 version = "0.5.1"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "90bde5296fc891b0cef12a6d03ddccc162ce7b2aff54160af9338f8d40df6d19"
@@ -2602,6 +2734,15 @@ dependencies = [
 
 [[package]]
 name = "rand_hc"
+version = "0.1.0"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "7b40677c7be09ae76218dc623efbf7b18e34bced3f38883af07bb75630a21bc4"
+dependencies = [
+ "rand_core 0.3.1",
+]
+
+[[package]]
+name = "rand_hc"
 version = "0.2.0"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "ca3129af7b92a17112d59ad498c6f81eaf463253766b90396d39ea7a39d6613c"
@@ -2610,6 +2751,59 @@ dependencies = [
 ]
 
 [[package]]
+name = "rand_isaac"
+version = "0.1.1"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "ded997c9d5f13925be2a6fd7e66bf1872597f759fd9dd93513dd7e92e5a5ee08"
+dependencies = [
+ "rand_core 0.3.1",
+]
+
+[[package]]
+name = "rand_jitter"
+version = "0.1.4"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "1166d5c91dc97b88d1decc3285bb0a99ed84b05cfd0bc2341bdf2d43fc41e39b"
+dependencies = [
+ "libc",
+ "rand_core 0.4.2",
+ "winapi",
+]
+
+[[package]]
+name = "rand_os"
+version = "0.1.3"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "7b75f676a1e053fc562eafbb47838d67c84801e38fc1ba459e8f180deabd5071"
+dependencies = [
+ "cloudabi",
+ "fuchsia-cprng",
+ "libc",
+ "rand_core 0.4.2",
+ "rdrand",
+ "winapi",
+]
+
+[[package]]
+name = "rand_pcg"
+version = "0.1.2"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "abf9b09b01790cfe0364f52bf32995ea3c39f4d2dd011eac241d2914146d0b44"
+dependencies = [
+ "autocfg 0.1.8",
+ "rand_core 0.4.2",
+]
+
+[[package]]
+name = "rand_xorshift"
+version = "0.1.1"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "cbf7e9e623549b0e21f6e97cf8ecf247c1a8fd2e8a992ae265314300b2455d5c"
+dependencies = [
+ "rand_core 0.3.1",
+]
+
+[[package]]
 name = "rand_xorshift"
 version = "0.3.0"
 source = "registry+https://github.com/rust-lang/crates.io-index"
@@ -2639,12 +2833,21 @@ dependencies = [
 ]
 
 [[package]]
+name = "rdrand"
+version = "0.4.0"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "678054eb77286b51581ba43620cc911abf02758c91f93f479767aed0f90458b2"
+dependencies = [
+ "rand_core 0.3.1",
+]
+
+[[package]]
 name = "redox_syscall"
 version = "0.5.11"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "d2f103c6d277498fbceb16e84d317e2a400f160f46904d5f5410848c829511a3"
 dependencies = [
- "bitflags",
+ "bitflags 2.9.0",
 ]
 
 [[package]]
@@ -2784,7 +2987,7 @@ dependencies = [
  "bytes",
  "fastrlp 0.3.1",
  "fastrlp 0.4.0",
- "num-bigint",
+ "num-bigint 0.4.6",
  "num-integer",
  "num-traits",
  "parity-scale-codec",
@@ -2841,7 +3044,7 @@ version = "1.0.5"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "d97817398dd4bb2e6da002002db259209759911da105da92bec29ccb12cf58bf"
 dependencies = [
- "bitflags",
+ "bitflags 2.9.0",
  "errno",
  "libc",
  "linux-raw-sys",
@@ -2957,7 +3160,7 @@ version = "2.11.1"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "897b2245f0b511c87893af39b033e5ca9cce68824c4d7e7630b5a1d339658d02"
 dependencies = [
- "bitflags",
+ "bitflags 2.9.0",
  "core-foundation 0.9.4",
  "core-foundation-sys",
  "libc",
@@ -3125,7 +3328,7 @@ version = "0.4.9"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "8f92a496fb766b417c996b9c5e57daf2f7ad3b0bebe1ccfca4856390e3d3bb67"
 dependencies = [
- "autocfg",
+ "autocfg 1.4.0",
 ]
 
 [[package]]
@@ -3183,6 +3386,16 @@ source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "a2eb9349b6444b326872e140eb1cf5e7c522154d69e7a0ffb0fb81c06b37543f"
 
 [[package]]
+name = "statistical"
+version = "1.0.0"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "49d57902bb128e5e38b5218d3681215ae3e322d99f65d5420e9849730d2ea372"
+dependencies = [
+ "num",
+ "rand 0.6.5",
+]
+
+[[package]]
 name = "strength_reduce"
 version = "0.2.4"
 source = "registry+https://github.com/rust-lang/crates.io-index"
@@ -3314,7 +3527,7 @@ version = "0.6.1"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "3c879d448e9d986b661742763247d3693ed13609438cf3d006f51f5368a5ba6b"
 dependencies = [
- "bitflags",
+ "bitflags 2.9.0",
  "core-foundation 0.9.4",
  "system-configuration-sys",
 ]
@@ -4306,7 +4519,7 @@ version = "0.39.0"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "6f42320e61fe2cfd34354ecb597f86f413484a798ba44a8ca1165c58d42da6c1"
 dependencies = [
- "bitflags",
+ "bitflags 2.9.0",
 ]
 
 [[package]]
@@ -4479,6 +4692,7 @@ dependencies = [
  "num-traits",
  "serde",
  "smbios-lib",
+ "statistical",
  "sysinfo",
  "toml",
 ]
diff --git a/zkvms/nexus/host/Cargo.lock b/zkvms/nexus/host/Cargo.lock
index 380ddaa..a404a26 100644
--- a/zkvms/nexus/host/Cargo.lock
+++ b/zkvms/nexus/host/Cargo.lock
@@ -110,7 +110,7 @@ dependencies = [
  "derivative",
  "digest",
  "itertools 0.10.5",
- "num-bigint",
+ "num-bigint 0.4.6",
  "num-traits",
  "paste",
  "rustc_version",
@@ -133,7 +133,7 @@ version = "0.4.2"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "7abe79b0e4288889c4574159ab790824d0033b9fdcb2a112a3182fac2e514565"
 dependencies = [
- "num-bigint",
+ "num-bigint 0.4.6",
  "num-traits",
  "proc-macro2",
  "quote",
@@ -148,7 +148,7 @@ checksum = "adb7b85a02b83d2f22f89bd5cac66c9c89474240cb6207cb1efc16d098e822a5"
 dependencies = [
  "ark-std",
  "digest",
- "num-bigint",
+ "num-bigint 0.4.6",
 ]
 
 [[package]]
@@ -184,6 +184,15 @@ dependencies = [
 
 [[package]]
 name = "autocfg"
+version = "0.1.8"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "0dde43e75fd43e8a1bf86103336bc699aa8d17ad1be60c76c0bdfd4828e19b78"
+dependencies = [
+ "autocfg 1.4.0",
+]
+
+[[package]]
+name = "autocfg"
 version = "1.4.0"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "ace50bade8e6234aa140d9a2f552bbee1db4d353f69b8217bc503490fc1a9f26"
@@ -215,7 +224,7 @@ version = "0.3.1"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "a6773ddc0eafc0e509fb60e48dff7f450f8e674a0686ae8605e8d9901bd5eefa"
 dependencies = [
- "num-bigint",
+ "num-bigint 0.4.6",
  "num-integer",
  "num-traits",
  "serde",
@@ -381,6 +390,15 @@ source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "f46ad14479a25103f283c0f10005961cf086d8dc42205bb44c46ac563475dca6"
 
 [[package]]
+name = "cloudabi"
+version = "0.0.3"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "ddfc5b9aa5d4507acaf872de71051dfd0e309860e88966e1051e462a077aac4f"
+dependencies = [
+ "bitflags 1.3.2",
+]
+
+[[package]]
 name = "cobs"
 version = "0.2.3"
 source = "registry+https://github.com/rust-lang/crates.io-index"
@@ -690,6 +708,12 @@ source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "3f9eec918d3f24069decb9af1554cad7c880e2da24a9afd88aca000531ab82c1"
 
 [[package]]
+name = "fuchsia-cprng"
+version = "0.1.1"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "a06f77d526c1a601b7c4cdd98f54b5eaabffc14d5f2f0296febdc7f357c6d3ba"
+
+[[package]]
 name = "generic-array"
 version = "0.14.7"
 source = "registry+https://github.com/rust-lang/crates.io-index"
@@ -973,7 +997,7 @@ version = "0.4.12"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "07af8b9cdd281b7915f413fa73f29ebd5d55d0d3f0155584dade1ff18cea1b17"
 dependencies = [
- "autocfg",
+ "autocfg 1.4.0",
  "scopeguard",
 ]
 
@@ -1209,6 +1233,31 @@ dependencies = [
 ]
 
 [[package]]
+name = "num"
+version = "0.2.1"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "b8536030f9fea7127f841b45bb6243b27255787fb4eb83958aa1ef9d2fdc0c36"
+dependencies = [
+ "num-bigint 0.2.6",
+ "num-complex",
+ "num-integer",
+ "num-iter",
+ "num-rational",
+ "num-traits",
+]
+
+[[package]]
+name = "num-bigint"
+version = "0.2.6"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "090c7f9998ee0ff65aa5b723e4009f7b217707f1fb5ea551329cc4d6231fb304"
+dependencies = [
+ "autocfg 1.4.0",
+ "num-integer",
+ "num-traits",
+]
+
+[[package]]
 name = "num-bigint"
 version = "0.4.6"
 source = "registry+https://github.com/rust-lang/crates.io-index"
@@ -1219,6 +1268,16 @@ dependencies = [
 ]
 
 [[package]]
+name = "num-complex"
+version = "0.2.4"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "b6b19411a9719e753aff12e5187b74d60d3dc449ec3f4dc21e3989c3f554bc95"
+dependencies = [
+ "autocfg 1.4.0",
+ "num-traits",
+]
+
+[[package]]
 name = "num-derive"
 version = "0.4.2"
 source = "registry+https://github.com/rust-lang/crates.io-index"
@@ -1239,12 +1298,35 @@ dependencies = [
 ]
 
 [[package]]
+name = "num-iter"
+version = "0.1.45"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "1429034a0490724d0075ebb2bc9e875d6503c3cf69e235a8941aa757d83ef5bf"
+dependencies = [
+ "autocfg 1.4.0",
+ "num-integer",
+ "num-traits",
+]
+
+[[package]]
+name = "num-rational"
+version = "0.2.4"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "5c000134b5dbf44adc5cb772486d335293351644b801551abe8f75c84cfa4aef"
+dependencies = [
+ "autocfg 1.4.0",
+ "num-bigint 0.2.6",
+ "num-integer",
+ "num-traits",
+]
+
+[[package]]
 name = "num-traits"
 version = "0.2.19"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "071dfc062690e90b734c0b2273ce72ad0ffa95f0c74596bc250dcfd960262841"
 dependencies = [
- "autocfg",
+ "autocfg 1.4.0",
 ]
 
 [[package]]
@@ -1511,6 +1593,25 @@ checksum = "74765f6d916ee2faa39bc8e68e4f3ed8949b48cccdac59983d287a7cb71ce9c5"
 
 [[package]]
 name = "rand"
+version = "0.6.5"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "6d71dacdc3c88c1fde3885a3be3fbab9f35724e6ce99467f7d9c5026132184ca"
+dependencies = [
+ "autocfg 0.1.8",
+ "libc",
+ "rand_chacha 0.1.1",
+ "rand_core 0.4.2",
+ "rand_hc",
+ "rand_isaac",
+ "rand_jitter",
+ "rand_os",
+ "rand_pcg",
+ "rand_xorshift",
+ "winapi",
+]
+
+[[package]]
+name = "rand"
 version = "0.8.5"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "34af8d1a0e25924bc5b7c43c079c942339d8f0a8b57c39049bef581b46327404"
@@ -1531,6 +1632,16 @@ dependencies = [
 
 [[package]]
 name = "rand_chacha"
+version = "0.1.1"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "556d3a1ca6600bfcbab7c7c91ccb085ac7fbbcd70e008a98742e7847f4f7bcef"
+dependencies = [
+ "autocfg 0.1.8",
+ "rand_core 0.3.1",
+]
+
+[[package]]
+name = "rand_chacha"
 version = "0.3.1"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "e6c10a63a0fa32252be49d21e7709d4d4baf8d231c2dbce1eaa8141b9b127d88"
@@ -1551,6 +1662,21 @@ dependencies = [
 
 [[package]]
 name = "rand_core"
+version = "0.3.1"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "7a6fdeb83b075e8266dcc8762c22776f6877a63111121f5f8c7411e5be7eed4b"
+dependencies = [
+ "rand_core 0.4.2",
+]
+
+[[package]]
+name = "rand_core"
+version = "0.4.2"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "9c33a3c44ca05fa6f1807d8e6743f3824e8509beca625669633be0acbdf509dc"
+
+[[package]]
+name = "rand_core"
 version = "0.6.4"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "ec0be4795e2f6a28069bec0b5ff3e2ac9bafc99e6a9a7dc3547996c5c816922c"
@@ -1565,6 +1691,68 @@ dependencies = [
 ]
 
 [[package]]
+name = "rand_hc"
+version = "0.1.0"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "7b40677c7be09ae76218dc623efbf7b18e34bced3f38883af07bb75630a21bc4"
+dependencies = [
+ "rand_core 0.3.1",
+]
+
+[[package]]
+name = "rand_isaac"
+version = "0.1.1"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "ded997c9d5f13925be2a6fd7e66bf1872597f759fd9dd93513dd7e92e5a5ee08"
+dependencies = [
+ "rand_core 0.3.1",
+]
+
+[[package]]
+name = "rand_jitter"
+version = "0.1.4"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "1166d5c91dc97b88d1decc3285bb0a99ed84b05cfd0bc2341bdf2d43fc41e39b"
+dependencies = [
+ "libc",
+ "rand_core 0.4.2",
+ "winapi",
+]
+
+[[package]]
+name = "rand_os"
+version = "0.1.3"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "7b75f676a1e053fc562eafbb47838d67c84801e38fc1ba459e8f180deabd5071"
+dependencies = [
+ "cloudabi",
+ "fuchsia-cprng",
+ "libc",
+ "rand_core 0.4.2",
+ "rdrand",
+ "winapi",
+]
+
+[[package]]
+name = "rand_pcg"
+version = "0.1.2"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "abf9b09b01790cfe0364f52bf32995ea3c39f4d2dd011eac241d2914146d0b44"
+dependencies = [
+ "autocfg 0.1.8",
+ "rand_core 0.4.2",
+]
+
+[[package]]
+name = "rand_xorshift"
+version = "0.1.1"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "cbf7e9e623549b0e21f6e97cf8ecf247c1a8fd2e8a992ae265314300b2455d5c"
+dependencies = [
+ "rand_core 0.3.1",
+]
+
+[[package]]
 name = "rangemap"
 version = "1.5.1"
 source = "registry+https://github.com/rust-lang/crates.io-index"
@@ -1591,6 +1779,15 @@ dependencies = [
 ]
 
 [[package]]
+name = "rdrand"
+version = "0.4.0"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "678054eb77286b51581ba43620cc911abf02758c91f93f479767aed0f90458b2"
+dependencies = [
+ "rand_core 0.3.1",
+]
+
+[[package]]
 name = "redox_syscall"
 version = "0.5.11"
 source = "registry+https://github.com/rust-lang/crates.io-index"
@@ -1836,7 +2033,7 @@ dependencies = [
  "crypto-bigint",
  "hex",
  "hmac",
- "num-bigint",
+ "num-bigint 0.4.6",
  "num-integer",
  "num-traits",
  "rfc6979",
@@ -1882,6 +2079,16 @@ dependencies = [
 ]
 
 [[package]]
+name = "statistical"
+version = "1.0.0"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "49d57902bb128e5e38b5218d3681215ae3e322d99f65d5420e9849730d2ea372"
+dependencies = [
+ "num",
+ "rand 0.6.5",
+]
+
+[[package]]
 name = "string_cache"
 version = "0.8.9"
 source = "registry+https://github.com/rust-lang/crates.io-index"
@@ -2628,6 +2835,7 @@ dependencies = [
  "num-traits",
  "serde",
  "smbios-lib",
+ "statistical",
  "sysinfo",
  "toml",
 ]
diff --git a/zkvms/risc0/host/Cargo.lock b/zkvms/risc0/host/Cargo.lock
index 52c5bb4..34c5b56 100644
--- a/zkvms/risc0/host/Cargo.lock
+++ b/zkvms/risc0/host/Cargo.lock
@@ -175,7 +175,7 @@ dependencies = [
  "fnv",
  "hashbrown 0.15.2",
  "itertools 0.13.0",
- "num-bigint",
+ "num-bigint 0.4.6",
  "num-integer",
  "num-traits",
  "zeroize",
@@ -195,7 +195,7 @@ dependencies = [
  "digest",
  "educe",
  "itertools 0.13.0",
- "num-bigint",
+ "num-bigint 0.4.6",
  "num-traits",
  "paste",
  "zeroize",
@@ -217,7 +217,7 @@ version = "0.5.0"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "09be120733ee33f7693ceaa202ca41accd5653b779563608f1234f78ae07c4b3"
 dependencies = [
- "num-bigint",
+ "num-bigint 0.4.6",
  "num-traits",
  "proc-macro2",
  "quote",
@@ -265,7 +265,7 @@ dependencies = [
  "ark-relations",
  "ark-std",
  "educe",
- "num-bigint",
+ "num-bigint 0.4.6",
  "num-integer",
  "num-traits",
  "tracing",
@@ -293,7 +293,7 @@ dependencies = [
  "ark-std",
  "arrayvec",
  "digest",
- "num-bigint",
+ "num-bigint 0.4.6",
 ]
 
 [[package]]
@@ -352,6 +352,15 @@ dependencies = [
 
 [[package]]
 name = "autocfg"
+version = "0.1.8"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "0dde43e75fd43e8a1bf86103336bc699aa8d17ad1be60c76c0bdfd4828e19b78"
+dependencies = [
+ "autocfg 1.4.0",
+]
+
+[[package]]
+name = "autocfg"
 version = "1.4.0"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "ace50bade8e6234aa140d9a2f552bbee1db4d353f69b8217bc503490fc1a9f26"
@@ -632,6 +641,15 @@ source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "f46ad14479a25103f283c0f10005961cf086d8dc42205bb44c46ac563475dca6"
 
 [[package]]
+name = "cloudabi"
+version = "0.0.3"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "ddfc5b9aa5d4507acaf872de71051dfd0e309860e88966e1051e462a077aac4f"
+dependencies = [
+ "bitflags 1.3.2",
+]
+
+[[package]]
 name = "colorchoice"
 version = "1.0.3"
 source = "registry+https://github.com/rust-lang/crates.io-index"
@@ -1040,6 +1058,12 @@ dependencies = [
 ]
 
 [[package]]
+name = "fuchsia-cprng"
+version = "0.1.1"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "a06f77d526c1a601b7c4cdd98f54b5eaabffc14d5f2f0296febdc7f357c6d3ba"
+
+[[package]]
 name = "futures-channel"
 version = "0.3.31"
 source = "registry+https://github.com/rust-lang/crates.io-index"
@@ -1706,7 +1730,7 @@ version = "0.4.12"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "07af8b9cdd281b7915f413fa73f29ebd5d55d0d3f0155584dade1ff18cea1b17"
 dependencies = [
- "autocfg",
+ "autocfg 1.4.0",
  "scopeguard",
 ]
 
@@ -1868,6 +1892,31 @@ dependencies = [
 ]
 
 [[package]]
+name = "num"
+version = "0.2.1"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "b8536030f9fea7127f841b45bb6243b27255787fb4eb83958aa1ef9d2fdc0c36"
+dependencies = [
+ "num-bigint 0.2.6",
+ "num-complex",
+ "num-integer",
+ "num-iter",
+ "num-rational",
+ "num-traits",
+]
+
+[[package]]
+name = "num-bigint"
+version = "0.2.6"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "090c7f9998ee0ff65aa5b723e4009f7b217707f1fb5ea551329cc4d6231fb304"
+dependencies = [
+ "autocfg 1.4.0",
+ "num-integer",
+ "num-traits",
+]
+
+[[package]]
 name = "num-bigint"
 version = "0.4.6"
 source = "registry+https://github.com/rust-lang/crates.io-index"
@@ -1878,6 +1927,16 @@ dependencies = [
 ]
 
 [[package]]
+name = "num-complex"
+version = "0.2.4"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "b6b19411a9719e753aff12e5187b74d60d3dc449ec3f4dc21e3989c3f554bc95"
+dependencies = [
+ "autocfg 1.4.0",
+ "num-traits",
+]
+
+[[package]]
 name = "num-integer"
 version = "0.1.46"
 source = "registry+https://github.com/rust-lang/crates.io-index"
@@ -1887,12 +1946,35 @@ dependencies = [
 ]
 
 [[package]]
+name = "num-iter"
+version = "0.1.45"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "1429034a0490724d0075ebb2bc9e875d6503c3cf69e235a8941aa757d83ef5bf"
+dependencies = [
+ "autocfg 1.4.0",
+ "num-integer",
+ "num-traits",
+]
+
+[[package]]
+name = "num-rational"
+version = "0.2.4"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "5c000134b5dbf44adc5cb772486d335293351644b801551abe8f75c84cfa4aef"
+dependencies = [
+ "autocfg 1.4.0",
+ "num-bigint 0.2.6",
+ "num-integer",
+ "num-traits",
+]
+
+[[package]]
 name = "num-traits"
 version = "0.2.19"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "071dfc062690e90b734c0b2273ce72ad0ffa95f0c74596bc250dcfd960262841"
 dependencies = [
- "autocfg",
+ "autocfg 1.4.0",
 ]
 
 [[package]]
@@ -2157,6 +2239,25 @@ checksum = "74765f6d916ee2faa39bc8e68e4f3ed8949b48cccdac59983d287a7cb71ce9c5"
 
 [[package]]
 name = "rand"
+version = "0.6.5"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "6d71dacdc3c88c1fde3885a3be3fbab9f35724e6ce99467f7d9c5026132184ca"
+dependencies = [
+ "autocfg 0.1.8",
+ "libc",
+ "rand_chacha 0.1.1",
+ "rand_core 0.4.2",
+ "rand_hc",
+ "rand_isaac",
+ "rand_jitter",
+ "rand_os",
+ "rand_pcg",
+ "rand_xorshift",
+ "winapi",
+]
+
+[[package]]
+name = "rand"
 version = "0.8.5"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "34af8d1a0e25924bc5b7c43c079c942339d8f0a8b57c39049bef581b46327404"
@@ -2177,6 +2278,16 @@ dependencies = [
 
 [[package]]
 name = "rand_chacha"
+version = "0.1.1"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "556d3a1ca6600bfcbab7c7c91ccb085ac7fbbcd70e008a98742e7847f4f7bcef"
+dependencies = [
+ "autocfg 0.1.8",
+ "rand_core 0.3.1",
+]
+
+[[package]]
+name = "rand_chacha"
 version = "0.3.1"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "e6c10a63a0fa32252be49d21e7709d4d4baf8d231c2dbce1eaa8141b9b127d88"
@@ -2197,6 +2308,21 @@ dependencies = [
 
 [[package]]
 name = "rand_core"
+version = "0.3.1"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "7a6fdeb83b075e8266dcc8762c22776f6877a63111121f5f8c7411e5be7eed4b"
+dependencies = [
+ "rand_core 0.4.2",
+]
+
+[[package]]
+name = "rand_core"
+version = "0.4.2"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "9c33a3c44ca05fa6f1807d8e6743f3824e8509beca625669633be0acbdf509dc"
+
+[[package]]
+name = "rand_core"
 version = "0.6.4"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "ec0be4795e2f6a28069bec0b5ff3e2ac9bafc99e6a9a7dc3547996c5c816922c"
@@ -2211,6 +2337,77 @@ dependencies = [
 ]
 
 [[package]]
+name = "rand_hc"
+version = "0.1.0"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "7b40677c7be09ae76218dc623efbf7b18e34bced3f38883af07bb75630a21bc4"
+dependencies = [
+ "rand_core 0.3.1",
+]
+
+[[package]]
+name = "rand_isaac"
+version = "0.1.1"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "ded997c9d5f13925be2a6fd7e66bf1872597f759fd9dd93513dd7e92e5a5ee08"
+dependencies = [
+ "rand_core 0.3.1",
+]
+
+[[package]]
+name = "rand_jitter"
+version = "0.1.4"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "1166d5c91dc97b88d1decc3285bb0a99ed84b05cfd0bc2341bdf2d43fc41e39b"
+dependencies = [
+ "libc",
+ "rand_core 0.4.2",
+ "winapi",
+]
+
+[[package]]
+name = "rand_os"
+version = "0.1.3"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "7b75f676a1e053fc562eafbb47838d67c84801e38fc1ba459e8f180deabd5071"
+dependencies = [
+ "cloudabi",
+ "fuchsia-cprng",
+ "libc",
+ "rand_core 0.4.2",
+ "rdrand",
+ "winapi",
+]
+
+[[package]]
+name = "rand_pcg"
+version = "0.1.2"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "abf9b09b01790cfe0364f52bf32995ea3c39f4d2dd011eac241d2914146d0b44"
+dependencies = [
+ "autocfg 0.1.8",
+ "rand_core 0.4.2",
+]
+
+[[package]]
+name = "rand_xorshift"
+version = "0.1.1"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "cbf7e9e623549b0e21f6e97cf8ecf247c1a8fd2e8a992ae265314300b2455d5c"
+dependencies = [
+ "rand_core 0.3.1",
+]
+
+[[package]]
+name = "rdrand"
+version = "0.4.0"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "678054eb77286b51581ba43620cc911abf02758c91f93f479767aed0f90458b2"
+dependencies = [
+ "rand_core 0.3.1",
+]
+
+[[package]]
 name = "redox_syscall"
 version = "0.5.11"
 source = "registry+https://github.com/rust-lang/crates.io-index"
@@ -2433,7 +2630,7 @@ dependencies = [
  "ark-serialize",
  "bytemuck",
  "hex",
- "num-bigint",
+ "num-bigint 0.4.6",
  "num-traits",
  "risc0-binfmt",
  "risc0-zkp",
@@ -2727,7 +2924,7 @@ version = "0.4.9"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "8f92a496fb766b417c996b9c5e57daf2f7ad3b0bebe1ccfca4856390e3d3bb67"
 dependencies = [
- "autocfg",
+ "autocfg 1.4.0",
 ]
 
 [[package]]
@@ -2785,6 +2982,16 @@ source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "a8f112729512f8e442d81f95a8a7ddf2b7c6b8a1a6f509a95864142b30cab2d3"
 
 [[package]]
+name = "statistical"
+version = "1.0.0"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "49d57902bb128e5e38b5218d3681215ae3e322d99f65d5420e9849730d2ea372"
+dependencies = [
+ "num",
+ "rand 0.6.5",
+]
+
+[[package]]
 name = "string_cache"
 version = "0.8.9"
 source = "registry+https://github.com/rust-lang/crates.io-index"
@@ -3930,6 +4137,7 @@ dependencies = [
  "num-traits",
  "serde",
  "smbios-lib",
+ "statistical",
  "sysinfo",
  "toml",
 ]
diff --git a/zkvms/sp1/host/Cargo.lock b/zkvms/sp1/host/Cargo.lock
index 8aed793..d7ebe59 100644
--- a/zkvms/sp1/host/Cargo.lock
+++ b/zkvms/sp1/host/Cargo.lock
@@ -670,6 +670,15 @@ dependencies = [
 
 [[package]]
 name = "autocfg"
+version = "0.1.8"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "0dde43e75fd43e8a1bf86103336bc699aa8d17ad1be60c76c0bdfd4828e19b78"
+dependencies = [
+ "autocfg 1.4.0",
+]
+
+[[package]]
+name = "autocfg"
 version = "1.4.0"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "ace50bade8e6234aa140d9a2f552bbee1db4d353f69b8217bc503490fc1a9f26"
@@ -798,7 +807,7 @@ version = "0.70.1"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "f49d8fed880d473ea71efb9bf597651e77201bdd4893efe54c9e5d65ae04ce6f"
 dependencies = [
- "bitflags",
+ "bitflags 2.9.0",
  "cexpr",
  "clang-sys",
  "itertools 0.13.0",
@@ -844,6 +853,12 @@ checksum = "5e764a1d40d510daf35e07be9eb06e75770908c27d411ee6c92109c9840eaaf7"
 
 [[package]]
 name = "bitflags"
+version = "1.3.2"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "bef38d45163c2f1dde094a7dfd33ccf595c92905c8f8f4fdc18d06fb1037718a"
+
+[[package]]
+name = "bitflags"
 version = "2.9.0"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "5c8214115b7bf84099f1309324e63141d4c5d7cc26862f97a0a857dbefe165bd"
@@ -1109,6 +1124,15 @@ source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "f46ad14479a25103f283c0f10005961cf086d8dc42205bb44c46ac563475dca6"
 
 [[package]]
+name = "cloudabi"
+version = "0.0.3"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "ddfc5b9aa5d4507acaf872de71051dfd0e309860e88966e1051e462a077aac4f"
+dependencies = [
+ "bitflags 1.3.2",
+]
+
+[[package]]
 name = "colorchoice"
 version = "1.0.3"
 source = "registry+https://github.com/rust-lang/crates.io-index"
@@ -1766,6 +1790,12 @@ dependencies = [
 ]
 
 [[package]]
+name = "fuchsia-cprng"
+version = "0.1.1"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "a06f77d526c1a601b7c4cdd98f54b5eaabffc14d5f2f0296febdc7f357c6d3ba"
+
+[[package]]
 name = "funty"
 version = "2.0.0"
 source = "registry+https://github.com/rust-lang/crates.io-index"
@@ -2404,7 +2434,7 @@ version = "1.9.3"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "bd070e393353796e801d209ad339e89596eb4c8d430d18ede6a1cced8fafbd99"
 dependencies = [
- "autocfg",
+ "autocfg 1.4.0",
  "hashbrown 0.12.3",
 ]
 
@@ -2654,7 +2684,7 @@ version = "0.1.3"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "c0ff37bd590ca25063e35af745c343cb7a0271906fb7b37e4813e8f79f00268d"
 dependencies = [
- "bitflags",
+ "bitflags 2.9.0",
  "libc",
 ]
 
@@ -2676,7 +2706,7 @@ version = "0.4.12"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "07af8b9cdd281b7915f413fa73f29ebd5d55d0d3f0155584dade1ff18cea1b17"
 dependencies = [
- "autocfg",
+ "autocfg 1.4.0",
  "scopeguard",
 ]
 
@@ -2809,7 +2839,7 @@ version = "0.29.0"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "71e2746dc3a24dd78b3cfcb7be93368c6de9963d30f43a6a73998a9cf4b17b46"
 dependencies = [
- "bitflags",
+ "bitflags 2.9.0",
  "cfg-if",
  "cfg_aliases",
  "libc",
@@ -2852,15 +2882,40 @@ dependencies = [
 
 [[package]]
 name = "num"
+version = "0.2.1"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "b8536030f9fea7127f841b45bb6243b27255787fb4eb83958aa1ef9d2fdc0c36"
+dependencies = [
+ "num-bigint 0.2.6",
+ "num-complex 0.2.4",
+ "num-integer",
+ "num-iter",
+ "num-rational 0.2.4",
+ "num-traits",
+]
+
+[[package]]
+name = "num"
 version = "0.4.3"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "35bd024e8b2ff75562e5f34e7f4905839deb4b22955ef5e73d2fea1b9813cb23"
 dependencies = [
  "num-bigint 0.4.6",
- "num-complex",
+ "num-complex 0.4.6",
  "num-integer",
  "num-iter",
- "num-rational",
+ "num-rational 0.4.2",
+ "num-traits",
+]
+
+[[package]]
+name = "num-bigint"
+version = "0.2.6"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "090c7f9998ee0ff65aa5b723e4009f7b217707f1fb5ea551329cc4d6231fb304"
+dependencies = [
+ "autocfg 1.4.0",
+ "num-integer",
  "num-traits",
 ]
 
@@ -2870,7 +2925,7 @@ version = "0.3.3"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "5f6f7833f2cbf2360a6cfd58cd41a53aa7a90bd4c202f5b1c7dd2ed73c57b2c3"
 dependencies = [
- "autocfg",
+ "autocfg 1.4.0",
  "num-integer",
  "num-traits",
 ]
@@ -2887,6 +2942,16 @@ dependencies = [
 
 [[package]]
 name = "num-complex"
+version = "0.2.4"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "b6b19411a9719e753aff12e5187b74d60d3dc449ec3f4dc21e3989c3f554bc95"
+dependencies = [
+ "autocfg 1.4.0",
+ "num-traits",
+]
+
+[[package]]
+name = "num-complex"
 version = "0.4.6"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "73f88a1307638156682bada9d7604135552957b7818057dcef22705b4d509495"
@@ -2915,7 +2980,7 @@ version = "0.1.45"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "1429034a0490724d0075ebb2bc9e875d6503c3cf69e235a8941aa757d83ef5bf"
 dependencies = [
- "autocfg",
+ "autocfg 1.4.0",
  "num-integer",
  "num-traits",
 ]
@@ -2937,6 +3002,18 @@ dependencies = [
 
 [[package]]
 name = "num-rational"
+version = "0.2.4"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "5c000134b5dbf44adc5cb772486d335293351644b801551abe8f75c84cfa4aef"
+dependencies = [
+ "autocfg 1.4.0",
+ "num-bigint 0.2.6",
+ "num-integer",
+ "num-traits",
+]
+
+[[package]]
+name = "num-rational"
 version = "0.4.2"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "f83d14da390562dca69fc84082e73e548e1ad308d24accdedd2720017cb37824"
@@ -2952,7 +3029,7 @@ version = "0.2.19"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "071dfc062690e90b734c0b2273ce72ad0ffa95f0c74596bc250dcfd960262841"
 dependencies = [
- "autocfg",
+ "autocfg 1.4.0",
  "libm",
 ]
 
@@ -3010,7 +3087,7 @@ version = "0.3.1"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "1c10c2894a6fed806ade6027bcd50662746363a9589d3ec9d9bef30a4e4bc166"
 dependencies = [
- "bitflags",
+ "bitflags 2.9.0",
 ]
 
 [[package]]
@@ -3610,12 +3687,12 @@ checksum = "14cae93065090804185d3b75f0bf93b8eeda30c7a9b4a33d3bdb3988d6229e50"
 dependencies = [
  "bit-set 0.8.0",
  "bit-vec 0.8.0",
- "bitflags",
+ "bitflags 2.9.0",
  "lazy_static",
  "num-traits",
  "rand 0.8.5",
  "rand_chacha 0.3.1",
- "rand_xorshift",
+ "rand_xorshift 0.3.0",
  "regex-syntax 0.8.5",
  "rusty-fork",
  "tempfile",
@@ -3728,6 +3805,25 @@ checksum = "dc33ff2d4973d518d823d61aa239014831e521c75da58e3df4840d3f47749d09"
 
 [[package]]
 name = "rand"
+version = "0.6.5"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "6d71dacdc3c88c1fde3885a3be3fbab9f35724e6ce99467f7d9c5026132184ca"
+dependencies = [
+ "autocfg 0.1.8",
+ "libc",
+ "rand_chacha 0.1.1",
+ "rand_core 0.4.2",
+ "rand_hc",
+ "rand_isaac",
+ "rand_jitter",
+ "rand_os",
+ "rand_pcg",
+ "rand_xorshift 0.1.1",
+ "winapi",
+]
+
+[[package]]
+name = "rand"
 version = "0.8.5"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "34af8d1a0e25924bc5b7c43c079c942339d8f0a8b57c39049bef581b46327404"
@@ -3750,6 +3846,16 @@ dependencies = [
 
 [[package]]
 name = "rand_chacha"
+version = "0.1.1"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "556d3a1ca6600bfcbab7c7c91ccb085ac7fbbcd70e008a98742e7847f4f7bcef"
+dependencies = [
+ "autocfg 0.1.8",
+ "rand_core 0.3.1",
+]
+
+[[package]]
+name = "rand_chacha"
 version = "0.3.1"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "e6c10a63a0fa32252be49d21e7709d4d4baf8d231c2dbce1eaa8141b9b127d88"
@@ -3770,6 +3876,21 @@ dependencies = [
 
 [[package]]
 name = "rand_core"
+version = "0.3.1"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "7a6fdeb83b075e8266dcc8762c22776f6877a63111121f5f8c7411e5be7eed4b"
+dependencies = [
+ "rand_core 0.4.2",
+]
+
+[[package]]
+name = "rand_core"
+version = "0.4.2"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "9c33a3c44ca05fa6f1807d8e6743f3824e8509beca625669633be0acbdf509dc"
+
+[[package]]
+name = "rand_core"
 version = "0.6.4"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "ec0be4795e2f6a28069bec0b5ff3e2ac9bafc99e6a9a7dc3547996c5c816922c"
@@ -3787,6 +3908,68 @@ dependencies = [
 ]
 
 [[package]]
+name = "rand_hc"
+version = "0.1.0"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "7b40677c7be09ae76218dc623efbf7b18e34bced3f38883af07bb75630a21bc4"
+dependencies = [
+ "rand_core 0.3.1",
+]
+
+[[package]]
+name = "rand_isaac"
+version = "0.1.1"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "ded997c9d5f13925be2a6fd7e66bf1872597f759fd9dd93513dd7e92e5a5ee08"
+dependencies = [
+ "rand_core 0.3.1",
+]
+
+[[package]]
+name = "rand_jitter"
+version = "0.1.4"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "1166d5c91dc97b88d1decc3285bb0a99ed84b05cfd0bc2341bdf2d43fc41e39b"
+dependencies = [
+ "libc",
+ "rand_core 0.4.2",
+ "winapi",
+]
+
+[[package]]
+name = "rand_os"
+version = "0.1.3"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "7b75f676a1e053fc562eafbb47838d67c84801e38fc1ba459e8f180deabd5071"
+dependencies = [
+ "cloudabi",
+ "fuchsia-cprng",
+ "libc",
+ "rand_core 0.4.2",
+ "rdrand",
+ "winapi",
+]
+
+[[package]]
+name = "rand_pcg"
+version = "0.1.2"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "abf9b09b01790cfe0364f52bf32995ea3c39f4d2dd011eac241d2914146d0b44"
+dependencies = [
+ "autocfg 0.1.8",
+ "rand_core 0.4.2",
+]
+
+[[package]]
+name = "rand_xorshift"
+version = "0.1.1"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "cbf7e9e623549b0e21f6e97cf8ecf247c1a8fd2e8a992ae265314300b2455d5c"
+dependencies = [
+ "rand_core 0.3.1",
+]
+
+[[package]]
 name = "rand_xorshift"
 version = "0.3.0"
 source = "registry+https://github.com/rust-lang/crates.io-index"
@@ -3837,12 +4020,21 @@ dependencies = [
 ]
 
 [[package]]
+name = "rdrand"
+version = "0.4.0"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "678054eb77286b51581ba43620cc911abf02758c91f93f479767aed0f90458b2"
+dependencies = [
+ "rand_core 0.3.1",
+]
+
+[[package]]
 name = "redox_syscall"
 version = "0.5.11"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "d2f103c6d277498fbceb16e84d317e2a400f160f46904d5f5410848c829511a3"
 dependencies = [
- "bitflags",
+ "bitflags 2.9.0",
 ]
 
 [[package]]
@@ -4086,7 +4278,7 @@ version = "1.0.5"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "d97817398dd4bb2e6da002002db259209759911da105da92bec29ccb12cf58bf"
 dependencies = [
- "bitflags",
+ "bitflags 2.9.0",
  "errno",
  "libc",
  "linux-raw-sys",
@@ -4247,7 +4439,7 @@ version = "3.2.0"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "271720403f46ca04f7ba6f55d438f8bd878d6b8ca0a1046e8228c4145bcbb316"
 dependencies = [
- "bitflags",
+ "bitflags 2.9.0",
  "core-foundation",
  "core-foundation-sys",
  "libc",
@@ -4462,7 +4654,7 @@ version = "0.4.9"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "8f92a496fb766b417c996b9c5e57daf2f7ad3b0bebe1ccfca4856390e3d3bb67"
 dependencies = [
- "autocfg",
+ "autocfg 1.4.0",
 ]
 
 [[package]]
@@ -4535,7 +4727,7 @@ dependencies = [
  "hex",
  "itertools 0.13.0",
  "nohash-hasher",
- "num",
+ "num 0.4.3",
  "p3-baby-bear",
  "p3-field",
  "p3-maybe-rayon",
@@ -4573,7 +4765,7 @@ dependencies = [
  "hex",
  "itertools 0.13.0",
  "k256",
- "num",
+ "num 0.4.3",
  "num_cpus",
  "p256",
  "p3-air",
@@ -4637,7 +4829,7 @@ dependencies = [
  "generic-array 1.1.0",
  "itertools 0.13.0",
  "k256",
- "num",
+ "num 0.4.3",
  "p256",
  "p3-field",
  "serde",
@@ -4946,6 +5138,16 @@ source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "a2eb9349b6444b326872e140eb1cf5e7c522154d69e7a0ffb0fb81c06b37543f"
 
 [[package]]
+name = "statistical"
+version = "1.0.0"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "49d57902bb128e5e38b5218d3681215ae3e322d99f65d5420e9849730d2ea372"
+dependencies = [
+ "num 0.2.1",
+ "rand 0.6.5",
+]
+
+[[package]]
 name = "string_cache"
 version = "0.8.9"
 source = "registry+https://github.com/rust-lang/crates.io-index"
@@ -6215,7 +6417,7 @@ version = "0.39.0"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "6f42320e61fe2cfd34354ecb597f86f413484a798ba44a8ca1165c58d42da6c1"
 dependencies = [
- "bitflags",
+ "bitflags 2.9.0",
 ]
 
 [[package]]
@@ -6405,6 +6607,7 @@ dependencies = [
  "num-traits",
  "serde",
  "smbios-lib",
+ "statistical",
  "sysinfo 0.34.2",
  "toml",
 ]
diff --git a/zkvms/zkm/host/Cargo.lock b/zkvms/zkm/host/Cargo.lock
index c2d8d90..949f57a 100644
--- a/zkvms/zkm/host/Cargo.lock
+++ b/zkvms/zkm/host/Cargo.lock
@@ -231,6 +231,15 @@ dependencies = [
 
 [[package]]
 name = "autocfg"
+version = "0.1.8"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "0dde43e75fd43e8a1bf86103336bc699aa8d17ad1be60c76c0bdfd4828e19b78"
+dependencies = [
+ "autocfg 1.4.0",
+]
+
+[[package]]
+name = "autocfg"
 version = "1.4.0"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "ace50bade8e6234aa140d9a2f552bbee1db4d353f69b8217bc503490fc1a9f26"
@@ -566,6 +575,15 @@ source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "f46ad14479a25103f283c0f10005961cf086d8dc42205bb44c46ac563475dca6"
 
 [[package]]
+name = "cloudabi"
+version = "0.0.3"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "ddfc5b9aa5d4507acaf872de71051dfd0e309860e88966e1051e462a077aac4f"
+dependencies = [
+ "bitflags 1.3.2",
+]
+
+[[package]]
 name = "coins-bip32"
 version = "0.8.7"
 source = "registry+https://github.com/rust-lang/crates.io-index"
@@ -806,7 +824,7 @@ dependencies = [
  "hex",
  "itertools 0.10.5",
  "log",
- "num",
+ "num 0.4.3",
  "plonky2",
  "plonky2_maybe_rayon",
  "rand 0.8.5",
@@ -1610,6 +1628,12 @@ dependencies = [
 ]
 
 [[package]]
+name = "fuchsia-cprng"
+version = "0.1.1"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "a06f77d526c1a601b7c4cdd98f54b5eaabffc14d5f2f0296febdc7f357c6d3ba"
+
+[[package]]
 name = "funty"
 version = "2.0.0"
 source = "registry+https://github.com/rust-lang/crates.io-index"
@@ -2255,7 +2279,7 @@ version = "1.9.3"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "bd070e393353796e801d209ad339e89596eb4c8d430d18ede6a1cced8fafbd99"
 dependencies = [
- "autocfg",
+ "autocfg 1.4.0",
  "hashbrown 0.12.3",
  "serde",
 ]
@@ -2562,7 +2586,7 @@ version = "0.4.12"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "07af8b9cdd281b7915f413fa73f29ebd5d55d0d3f0155584dade1ff18cea1b17"
 dependencies = [
- "autocfg",
+ "autocfg 1.4.0",
  "scopeguard",
 ]
 
@@ -2692,15 +2716,40 @@ dependencies = [
 
 [[package]]
 name = "num"
+version = "0.2.1"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "b8536030f9fea7127f841b45bb6243b27255787fb4eb83958aa1ef9d2fdc0c36"
+dependencies = [
+ "num-bigint 0.2.6",
+ "num-complex 0.2.4",
+ "num-integer",
+ "num-iter",
+ "num-rational 0.2.4",
+ "num-traits",
+]
+
+[[package]]
+name = "num"
 version = "0.4.3"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "35bd024e8b2ff75562e5f34e7f4905839deb4b22955ef5e73d2fea1b9813cb23"
 dependencies = [
  "num-bigint 0.4.6",
- "num-complex",
+ "num-complex 0.4.6",
  "num-integer",
  "num-iter",
- "num-rational",
+ "num-rational 0.4.2",
+ "num-traits",
+]
+
+[[package]]
+name = "num-bigint"
+version = "0.2.6"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "090c7f9998ee0ff65aa5b723e4009f7b217707f1fb5ea551329cc4d6231fb304"
+dependencies = [
+ "autocfg 1.4.0",
+ "num-integer",
  "num-traits",
 ]
 
@@ -2710,7 +2759,7 @@ version = "0.3.3"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "5f6f7833f2cbf2360a6cfd58cd41a53aa7a90bd4c202f5b1c7dd2ed73c57b2c3"
 dependencies = [
- "autocfg",
+ "autocfg 1.4.0",
  "num-integer",
  "num-traits",
 ]
@@ -2728,6 +2777,16 @@ dependencies = [
 
 [[package]]
 name = "num-complex"
+version = "0.2.4"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "b6b19411a9719e753aff12e5187b74d60d3dc449ec3f4dc21e3989c3f554bc95"
+dependencies = [
+ "autocfg 1.4.0",
+ "num-traits",
+]
+
+[[package]]
+name = "num-complex"
 version = "0.4.6"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "73f88a1307638156682bada9d7604135552957b7818057dcef22705b4d509495"
@@ -2757,7 +2816,19 @@ version = "0.1.45"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "1429034a0490724d0075ebb2bc9e875d6503c3cf69e235a8941aa757d83ef5bf"
 dependencies = [
- "autocfg",
+ "autocfg 1.4.0",
+ "num-integer",
+ "num-traits",
+]
+
+[[package]]
+name = "num-rational"
+version = "0.2.4"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "5c000134b5dbf44adc5cb772486d335293351644b801551abe8f75c84cfa4aef"
+dependencies = [
+ "autocfg 1.4.0",
+ "num-bigint 0.2.6",
  "num-integer",
  "num-traits",
 ]
@@ -2779,7 +2850,7 @@ version = "0.2.19"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "071dfc062690e90b734c0b2273ce72ad0ffa95f0c74596bc250dcfd960262841"
 dependencies = [
- "autocfg",
+ "autocfg 1.4.0",
 ]
 
 [[package]]
@@ -3139,7 +3210,7 @@ dependencies = [
  "itertools 0.11.0",
  "keccak-hash 0.8.0",
  "log",
- "num",
+ "num 0.4.3",
  "plonky2_field",
  "plonky2_maybe_rayon",
  "plonky2_util",
@@ -3158,7 +3229,7 @@ source = "git+https://github.com/zkMIPS/plonky2.git?branch=zkm_dev#f1e28a6d85422
 dependencies = [
  "anyhow",
  "itertools 0.11.0",
- "num",
+ "num 0.4.3",
  "plonky2_util",
  "rand 0.8.5",
  "serde",
@@ -3204,7 +3275,7 @@ dependencies = [
  "itertools 0.10.5",
  "lazy_static",
  "log",
- "num",
+ "num 0.4.3",
  "num-bigint 0.4.6",
  "plonky2",
  "plonky2x-derive",
@@ -3335,7 +3406,7 @@ dependencies = [
  "num-traits",
  "rand 0.8.5",
  "rand_chacha 0.3.1",
- "rand_xorshift",
+ "rand_xorshift 0.3.0",
  "regex-syntax 0.8.5",
  "unarray",
 ]
@@ -3417,6 +3488,25 @@ checksum = "dc33ff2d4973d518d823d61aa239014831e521c75da58e3df4840d3f47749d09"
 
 [[package]]
 name = "rand"
+version = "0.6.5"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "6d71dacdc3c88c1fde3885a3be3fbab9f35724e6ce99467f7d9c5026132184ca"
+dependencies = [
+ "autocfg 0.1.8",
+ "libc",
+ "rand_chacha 0.1.1",
+ "rand_core 0.4.2",
+ "rand_hc",
+ "rand_isaac",
+ "rand_jitter",
+ "rand_os",
+ "rand_pcg",
+ "rand_xorshift 0.1.1",
+ "winapi",
+]
+
+[[package]]
+name = "rand"
 version = "0.8.5"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "34af8d1a0e25924bc5b7c43c079c942339d8f0a8b57c39049bef581b46327404"
@@ -3438,6 +3528,16 @@ dependencies = [
 
 [[package]]
 name = "rand_chacha"
+version = "0.1.1"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "556d3a1ca6600bfcbab7c7c91ccb085ac7fbbcd70e008a98742e7847f4f7bcef"
+dependencies = [
+ "autocfg 0.1.8",
+ "rand_core 0.3.1",
+]
+
+[[package]]
+name = "rand_chacha"
 version = "0.3.1"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "e6c10a63a0fa32252be49d21e7709d4d4baf8d231c2dbce1eaa8141b9b127d88"
@@ -3458,6 +3558,21 @@ dependencies = [
 
 [[package]]
 name = "rand_core"
+version = "0.3.1"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "7a6fdeb83b075e8266dcc8762c22776f6877a63111121f5f8c7411e5be7eed4b"
+dependencies = [
+ "rand_core 0.4.2",
+]
+
+[[package]]
+name = "rand_core"
+version = "0.4.2"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "9c33a3c44ca05fa6f1807d8e6743f3824e8509beca625669633be0acbdf509dc"
+
+[[package]]
+name = "rand_core"
 version = "0.6.4"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "ec0be4795e2f6a28069bec0b5ff3e2ac9bafc99e6a9a7dc3547996c5c816922c"
@@ -3475,6 +3590,68 @@ dependencies = [
 ]
 
 [[package]]
+name = "rand_hc"
+version = "0.1.0"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "7b40677c7be09ae76218dc623efbf7b18e34bced3f38883af07bb75630a21bc4"
+dependencies = [
+ "rand_core 0.3.1",
+]
+
+[[package]]
+name = "rand_isaac"
+version = "0.1.1"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "ded997c9d5f13925be2a6fd7e66bf1872597f759fd9dd93513dd7e92e5a5ee08"
+dependencies = [
+ "rand_core 0.3.1",
+]
+
+[[package]]
+name = "rand_jitter"
+version = "0.1.4"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "1166d5c91dc97b88d1decc3285bb0a99ed84b05cfd0bc2341bdf2d43fc41e39b"
+dependencies = [
+ "libc",
+ "rand_core 0.4.2",
+ "winapi",
+]
+
+[[package]]
+name = "rand_os"
+version = "0.1.3"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "7b75f676a1e053fc562eafbb47838d67c84801e38fc1ba459e8f180deabd5071"
+dependencies = [
+ "cloudabi",
+ "fuchsia-cprng",
+ "libc",
+ "rand_core 0.4.2",
+ "rdrand",
+ "winapi",
+]
+
+[[package]]
+name = "rand_pcg"
+version = "0.1.2"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "abf9b09b01790cfe0364f52bf32995ea3c39f4d2dd011eac241d2914146d0b44"
+dependencies = [
+ "autocfg 0.1.8",
+ "rand_core 0.4.2",
+]
+
+[[package]]
+name = "rand_xorshift"
+version = "0.1.1"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "cbf7e9e623549b0e21f6e97cf8ecf247c1a8fd2e8a992ae265314300b2455d5c"
+dependencies = [
+ "rand_core 0.3.1",
+]
+
+[[package]]
 name = "rand_xorshift"
 version = "0.3.0"
 source = "registry+https://github.com/rust-lang/crates.io-index"
@@ -3504,6 +3681,15 @@ dependencies = [
 ]
 
 [[package]]
+name = "rdrand"
+version = "0.4.0"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "678054eb77286b51581ba43620cc911abf02758c91f93f479767aed0f90458b2"
+dependencies = [
+ "rand_core 0.3.1",
+]
+
+[[package]]
 name = "redox_syscall"
 version = "0.5.11"
 source = "registry+https://github.com/rust-lang/crates.io-index"
@@ -4097,7 +4283,7 @@ version = "0.4.9"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "8f92a496fb766b417c996b9c5e57daf2f7ad3b0bebe1ccfca4856390e3d3bb67"
 dependencies = [
- "autocfg",
+ "autocfg 1.4.0",
 ]
 
 [[package]]
@@ -4175,6 +4361,16 @@ source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "a2eb9349b6444b326872e140eb1cf5e7c522154d69e7a0ffb0fb81c06b37543f"
 
 [[package]]
+name = "statistical"
+version = "1.0.0"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "49d57902bb128e5e38b5218d3681215ae3e322d99f65d5420e9849730d2ea372"
+dependencies = [
+ "num 0.2.1",
+ "rand 0.6.5",
+]
+
+[[package]]
 name = "string_cache"
 version = "0.8.9"
 source = "registry+https://github.com/rust-lang/crates.io-index"
@@ -5590,7 +5786,7 @@ dependencies = [
  "keccak-hash 0.10.0",
  "lazy_static",
  "log",
- "num",
+ "num 0.4.3",
  "num-bigint 0.4.6",
  "once_cell",
  "plonky2",
@@ -5672,6 +5868,7 @@ dependencies = [
  "num-traits",
  "serde",
  "smbios-lib",
+ "statistical",
  "sysinfo",
  "toml",
 ]
diff --git a/zkvms/zkwasm/host/Cargo.lock b/zkvms/zkwasm/host/Cargo.lock
index 43259c4..4eab031 100644
--- a/zkvms/zkwasm/host/Cargo.lock
+++ b/zkvms/zkwasm/host/Cargo.lock
@@ -87,6 +87,15 @@ dependencies = [
 
 [[package]]
 name = "autocfg"
+version = "0.1.8"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "0dde43e75fd43e8a1bf86103336bc699aa8d17ad1be60c76c0bdfd4828e19b78"
+dependencies = [
+ "autocfg 1.4.0",
+]
+
+[[package]]
+name = "autocfg"
 version = "1.4.0"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "ace50bade8e6234aa140d9a2f552bbee1db4d353f69b8217bc503490fc1a9f26"
@@ -114,6 +123,12 @@ checksum = "349f9b6a179ed607305526ca489b34ad0a41aed5f7980fa90eb03160b69598fb"
 
 [[package]]
 name = "bitflags"
+version = "1.3.2"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "bef38d45163c2f1dde094a7dfd33ccf595c92905c8f8f4fdc18d06fb1037718a"
+
+[[package]]
+name = "bitflags"
 version = "2.9.0"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "5c8214115b7bf84099f1309324e63141d4c5d7cc26862f97a0a857dbefe165bd"
@@ -194,6 +209,15 @@ source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "f46ad14479a25103f283c0f10005961cf086d8dc42205bb44c46ac563475dca6"
 
 [[package]]
+name = "cloudabi"
+version = "0.0.3"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "ddfc5b9aa5d4507acaf872de71051dfd0e309860e88966e1051e462a077aac4f"
+dependencies = [
+ "bitflags 1.3.2",
+]
+
+[[package]]
 name = "colorchoice"
 version = "1.0.3"
 source = "registry+https://github.com/rust-lang/crates.io-index"
@@ -293,6 +317,12 @@ source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "3f9eec918d3f24069decb9af1554cad7c880e2da24a9afd88aca000531ab82c1"
 
 [[package]]
+name = "fuchsia-cprng"
+version = "0.1.1"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "a06f77d526c1a601b7c4cdd98f54b5eaabffc14d5f2f0296febdc7f357c6d3ba"
+
+[[package]]
 name = "getopts"
 version = "0.2.21"
 source = "registry+https://github.com/rust-lang/crates.io-index"
@@ -480,7 +510,7 @@ version = "0.1.3"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "c0ff37bd590ca25063e35af745c343cb7a0271906fb7b37e4813e8f79f00268d"
 dependencies = [
- "bitflags",
+ "bitflags 2.9.0",
  "libc",
 ]
 
@@ -490,7 +520,7 @@ version = "0.4.12"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "07af8b9cdd281b7915f413fa73f29ebd5d55d0d3f0155584dade1ff18cea1b17"
 dependencies = [
- "autocfg",
+ "autocfg 1.4.0",
  "scopeguard",
 ]
 
@@ -554,12 +584,79 @@ dependencies = [
 ]
 
 [[package]]
+name = "num"
+version = "0.2.1"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "b8536030f9fea7127f841b45bb6243b27255787fb4eb83958aa1ef9d2fdc0c36"
+dependencies = [
+ "num-bigint",
+ "num-complex",
+ "num-integer",
+ "num-iter",
+ "num-rational",
+ "num-traits",
+]
+
+[[package]]
+name = "num-bigint"
+version = "0.2.6"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "090c7f9998ee0ff65aa5b723e4009f7b217707f1fb5ea551329cc4d6231fb304"
+dependencies = [
+ "autocfg 1.4.0",
+ "num-integer",
+ "num-traits",
+]
+
+[[package]]
+name = "num-complex"
+version = "0.2.4"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "b6b19411a9719e753aff12e5187b74d60d3dc449ec3f4dc21e3989c3f554bc95"
+dependencies = [
+ "autocfg 1.4.0",
+ "num-traits",
+]
+
+[[package]]
+name = "num-integer"
+version = "0.1.46"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "7969661fd2958a5cb096e56c8e1ad0444ac2bbcd0061bd28660485a44879858f"
+dependencies = [
+ "num-traits",
+]
+
+[[package]]
+name = "num-iter"
+version = "0.1.45"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "1429034a0490724d0075ebb2bc9e875d6503c3cf69e235a8941aa757d83ef5bf"
+dependencies = [
+ "autocfg 1.4.0",
+ "num-integer",
+ "num-traits",
+]
+
+[[package]]
+name = "num-rational"
+version = "0.2.4"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "5c000134b5dbf44adc5cb772486d335293351644b801551abe8f75c84cfa4aef"
+dependencies = [
+ "autocfg 1.4.0",
+ "num-bigint",
+ "num-integer",
+ "num-traits",
+]
+
+[[package]]
 name = "num-traits"
 version = "0.2.19"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "071dfc062690e90b734c0b2273ce72ad0ffa95f0c74596bc250dcfd960262841"
 dependencies = [
- "autocfg",
+ "autocfg 1.4.0",
 ]
 
 [[package]]
@@ -568,7 +665,7 @@ version = "0.3.1"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "1c10c2894a6fed806ade6027bcd50662746363a9589d3ec9d9bef30a4e4bc166"
 dependencies = [
- "bitflags",
+ "bitflags 2.9.0",
 ]
 
 [[package]]
@@ -644,12 +741,127 @@ dependencies = [
 ]
 
 [[package]]
+name = "rand"
+version = "0.6.5"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "6d71dacdc3c88c1fde3885a3be3fbab9f35724e6ce99467f7d9c5026132184ca"
+dependencies = [
+ "autocfg 0.1.8",
+ "libc",
+ "rand_chacha",
+ "rand_core 0.4.2",
+ "rand_hc",
+ "rand_isaac",
+ "rand_jitter",
+ "rand_os",
+ "rand_pcg",
+ "rand_xorshift",
+ "winapi",
+]
+
+[[package]]
+name = "rand_chacha"
+version = "0.1.1"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "556d3a1ca6600bfcbab7c7c91ccb085ac7fbbcd70e008a98742e7847f4f7bcef"
+dependencies = [
+ "autocfg 0.1.8",
+ "rand_core 0.3.1",
+]
+
+[[package]]
+name = "rand_core"
+version = "0.3.1"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "7a6fdeb83b075e8266dcc8762c22776f6877a63111121f5f8c7411e5be7eed4b"
+dependencies = [
+ "rand_core 0.4.2",
+]
+
+[[package]]
+name = "rand_core"
+version = "0.4.2"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "9c33a3c44ca05fa6f1807d8e6743f3824e8509beca625669633be0acbdf509dc"
+
+[[package]]
+name = "rand_hc"
+version = "0.1.0"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "7b40677c7be09ae76218dc623efbf7b18e34bced3f38883af07bb75630a21bc4"
+dependencies = [
+ "rand_core 0.3.1",
+]
+
+[[package]]
+name = "rand_isaac"
+version = "0.1.1"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "ded997c9d5f13925be2a6fd7e66bf1872597f759fd9dd93513dd7e92e5a5ee08"
+dependencies = [
+ "rand_core 0.3.1",
+]
+
+[[package]]
+name = "rand_jitter"
+version = "0.1.4"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "1166d5c91dc97b88d1decc3285bb0a99ed84b05cfd0bc2341bdf2d43fc41e39b"
+dependencies = [
+ "libc",
+ "rand_core 0.4.2",
+ "winapi",
+]
+
+[[package]]
+name = "rand_os"
+version = "0.1.3"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "7b75f676a1e053fc562eafbb47838d67c84801e38fc1ba459e8f180deabd5071"
+dependencies = [
+ "cloudabi",
+ "fuchsia-cprng",
+ "libc",
+ "rand_core 0.4.2",
+ "rdrand",
+ "winapi",
+]
+
+[[package]]
+name = "rand_pcg"
+version = "0.1.2"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "abf9b09b01790cfe0364f52bf32995ea3c39f4d2dd011eac241d2914146d0b44"
+dependencies = [
+ "autocfg 0.1.8",
+ "rand_core 0.4.2",
+]
+
+[[package]]
+name = "rand_xorshift"
+version = "0.1.1"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "cbf7e9e623549b0e21f6e97cf8ecf247c1a8fd2e8a992ae265314300b2455d5c"
+dependencies = [
+ "rand_core 0.3.1",
+]
+
+[[package]]
+name = "rdrand"
+version = "0.4.0"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "678054eb77286b51581ba43620cc911abf02758c91f93f479767aed0f90458b2"
+dependencies = [
+ "rand_core 0.3.1",
+]
+
+[[package]]
 name = "redox_syscall"
 version = "0.5.11"
 source = "registry+https://github.com/rust-lang/crates.io-index"
 checksum = "d2f103c6d277498fbceb16e84d317e2a400f160f46904d5f5410848c829511a3"
 dependencies = [
- "bitflags",
+ "bitflags 2.9.0",
 ]
 
 [[package]]
@@ -792,6 +1004,16 @@ dependencies = [
 ]
 
 [[package]]
+name = "statistical"
+version = "1.0.0"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "49d57902bb128e5e38b5218d3681215ae3e322d99f65d5420e9849730d2ea372"
+dependencies = [
+ "num",
+ "rand",
+]
+
+[[package]]
 name = "string_cache"
 version = "0.8.9"
 source = "registry+https://github.com/rust-lang/crates.io-index"
@@ -1245,6 +1467,7 @@ dependencies = [
  "num-traits",
  "serde",
  "smbios-lib",
+ "statistical",
  "sysinfo",
  "toml",
 ]