diff --git a/concrete-optimizer/src/optimization/decomposition/circuit_bootstrap.rs b/concrete-optimizer/src/optimization/decomposition/circuit_bootstrap.rs
index 28dd55562..ada52f3c0 100644
--- a/concrete-optimizer/src/optimization/decomposition/circuit_bootstrap.rs
+++ b/concrete-optimizer/src/optimization/decomposition/circuit_bootstrap.rs
@@ -87,15 +87,24 @@ pub fn pareto_quantities(
     quantities
 }
 
-pub type Cache = CacheHashMap<GlweParameters, Vec<CbComplexityNoise>>;
+pub type Cache = CacheHashMap<GlweParameters, CbPareto>;
 
 impl Cache {
-    pub fn pareto_quantities(&mut self, glwe_params: GlweParameters) -> &[CbComplexityNoise] {
+    pub fn pareto_quantities(&mut self, glwe_params: GlweParameters) -> &CbPareto {
         self.get(glwe_params)
     }
 }
 
-pub type PersistDecompCache = PersistentCacheHashMap<GlweParameters, Vec<CbComplexityNoise>>;
+pub type PersistDecompCache = PersistentCacheHashMap<GlweParameters, CbPareto>;
+
+#[derive(Clone, Serialize, Deserialize)]
+pub struct CbPareto {
+    pub pareto: Vec<CbComplexityNoise>,
+    pub lower_pareto_cb_bias: f64,
+    pub lower_pareto_cb_slope: f64,
+    pub lower_bound_cost_cb_complexity_1_cmux_hp: f64,
+    pub lower_bound_cost_cb_complexity_1_ggsw_to_fft: f64,
+}
 
 pub fn cache(
     security_level: u64,
@@ -108,11 +117,40 @@ pub fn cache(
     let path =
         format!("{cache_dir}/cb-decomp-{hardware}-{ciphertext_modulus_log}-{security_level}");
     let function = move |glwe_params| {
-        pareto_quantities(
+        let pareto = pareto_quantities(
             complexity_model.as_ref(),
             ciphertext_modulus_log,
             glwe_params,
-        )
+        );
+
+        let lower_pareto_cb_bias = pareto
+            .iter()
+            .map(|cb| cb.variance_bias)
+            .reduce(f64::min)
+            .unwrap();
+        let lower_pareto_cb_slope = pareto
+            .iter()
+            .map(|cb| cb.variance_ggsw_factor)
+            .reduce(f64::min)
+            .unwrap();
+        let lower_bound_cost_cb_complexity_1_cmux_hp = pareto
+            .iter()
+            .map(|cb| cb.complexity_one_cmux_hp)
+            .reduce(f64::min)
+            .unwrap();
+        let lower_bound_cost_cb_complexity_1_ggsw_to_fft = pareto
+            .iter()
+            .map(|cb| cb.complexity_one_ggsw_to_fft)
+            .reduce(f64::min)
+            .unwrap();
+
+        CbPareto {
+            pareto,
+            lower_pareto_cb_bias,
+            lower_pareto_cb_slope,
+            lower_bound_cost_cb_complexity_1_cmux_hp,
+            lower_bound_cost_cb_complexity_1_ggsw_to_fft,
+        }
     };
     PersistentCacheHashMap::new_no_read(&path, VERSION, function)
 }
diff --git a/concrete-optimizer/src/optimization/wop_atomic_pattern/optimize.rs b/concrete-optimizer/src/optimization/wop_atomic_pattern/optimize.rs
index 90c261634..b6bd75da1 100644
--- a/concrete-optimizer/src/optimization/wop_atomic_pattern/optimize.rs
+++ b/concrete-optimizer/src/optimization/wop_atomic_pattern/optimize.rs
@@ -11,7 +11,7 @@ use crate::optimization::atomic_pattern;
 use crate::optimization::atomic_pattern::OptimizationDecompositionsConsts;
 
 use crate::optimization::config::{Config, SearchSpace};
-use crate::optimization::decomposition::circuit_bootstrap::CbComplexityNoise;
+use crate::optimization::decomposition::circuit_bootstrap::{CbComplexityNoise, CbPareto};
 use crate::optimization::decomposition::cmux::CmuxComplexityNoise;
 use crate::optimization::decomposition::keyswitch::KsComplexityNoise;
 use crate::optimization::decomposition::pp_switch::PpSwitchComplexityNoise;
@@ -197,7 +197,7 @@ fn update_state_with_best_decompositions(
     pareto_cmux: &[CmuxComplexityNoise],
     pareto_keyswitch: &[KsComplexityNoise],
     pp_switch: &[PpSwitchComplexityNoise],
-    pareto_cb: &[CbComplexityNoise],
+    pareto_cb: &CbPareto,
 ) {
     let ciphertext_modulus_log = consts.config.ciphertext_modulus_log;
     let precisions_sum = partitionning.iter().copied().sum();
@@ -231,38 +231,18 @@ fn update_state_with_best_decompositions(
     let lower_bound_variance_br = pareto_cmux.last().unwrap().noise_br(internal_dim);
     let lower_bound_variance_ks = pareto_keyswitch.last().unwrap().noise(input_lwe_dimension);
     let lower_bound_variance_private_packing = pp_switch.last().unwrap().noise;
-    let lower_pareto_cb_bias = pareto_cb
-        .iter()
-        .map(|cb| cb.variance_bias)
-        .reduce(f64::min)
-        .unwrap();
-    let lower_pareto_cb_slope = pareto_cb
-        .iter()
-        .map(|cb| cb.variance_ggsw_factor)
-        .reduce(f64::min)
-        .unwrap();
     let lower_bound_cost_br = pareto_cmux[0].complexity_br(internal_dim);
     let lower_bound_cost_ks = pareto_keyswitch[0].complexity(input_lwe_dimension);
     let lower_bound_cost_pp = pp_switch[0].complexity;
-    let lower_bound_cost_cb_complexity_1_cmux_hp = pareto_cb
-        .iter()
-        .map(|cb| cb.complexity_one_cmux_hp)
-        .reduce(f64::min)
-        .unwrap_or(0.0);
-    let lower_bound_cost_cb_complexity_1_ggsw_to_fft = pareto_cb
-        .iter()
-        .map(|cb| cb.complexity_one_ggsw_to_fft)
-        .reduce(f64::min)
-        .unwrap_or(0.0);
     let lower_bound_cb = CbComplexityNoise {
         decomp: BrDecompositionParameters {
             level: 1,
             log2_base: 1,
         },
-        complexity_one_cmux_hp: lower_bound_cost_cb_complexity_1_cmux_hp,
-        complexity_one_ggsw_to_fft: lower_bound_cost_cb_complexity_1_ggsw_to_fft,
-        variance_bias: lower_pareto_cb_bias,
-        variance_ggsw_factor: lower_pareto_cb_slope,
+        complexity_one_cmux_hp: pareto_cb.lower_bound_cost_cb_complexity_1_cmux_hp,
+        complexity_one_ggsw_to_fft: pareto_cb.lower_bound_cost_cb_complexity_1_ggsw_to_fft,
+        variance_bias: pareto_cb.lower_pareto_cb_bias,
+        variance_ggsw_factor: pareto_cb.lower_pareto_cb_slope,
     };
 
     let variance = |cmux_quantity: Option<CmuxComplexityNoise>,
@@ -348,7 +328,7 @@ fn update_state_with_best_decompositions(
 
             // CircuitBootstrap: new parameters l,b
             // for &circuit_pbs_decomposition in pareto_circuit_pbs {
-            for cb_decomp in pareto_cb {
+            for cb_decomp in &pareto_cb.pareto {
                 let lower_bound_variance = variance(
                     Some(cmux_decomp),
                     Some(pp_switching.noise),