diff --git a/milli/src/search/new/ranking_rule_graph/exactness/mod.rs b/milli/src/search/new/ranking_rule_graph/exactness/mod.rs
index 0842d6d04..0a84bf7cf 100644
--- a/milli/src/search/new/ranking_rule_graph/exactness/mod.rs
+++ b/milli/src/search/new/ranking_rule_graph/exactness/mod.rs
@@ -1,6 +1,7 @@
 use roaring::RoaringBitmap;
 
 use super::{ComputedCondition, RankingRuleGraphTrait};
+use crate::score_details::{Rank, ScoreDetails};
 use crate::search::new::interner::{DedupInterner, Interned};
 use crate::search::new::query_term::{ExactTerm, LocatedQueryTermSubset};
 use crate::search::new::resolve_query_graph::compute_query_term_subset_docids;
@@ -84,4 +85,8 @@ impl RankingRuleGraphTrait for ExactnessGraph {
 
         Ok(vec![(0, exact_condition), (dest_node.term_ids.len() as u32, skip_condition)])
     }
+
+    fn rank_to_score(rank: Rank) -> ScoreDetails {
+        ScoreDetails::Exactness(rank)
+    }
 }
diff --git a/milli/src/search/new/ranking_rule_graph/fid/mod.rs b/milli/src/search/new/ranking_rule_graph/fid/mod.rs
index 4832aa532..8f3e0cc82 100644
--- a/milli/src/search/new/ranking_rule_graph/fid/mod.rs
+++ b/milli/src/search/new/ranking_rule_graph/fid/mod.rs
@@ -2,6 +2,7 @@ use fxhash::FxHashSet;
 use roaring::RoaringBitmap;
 
 use super::{ComputedCondition, RankingRuleGraphTrait};
+use crate::score_details::{Rank, ScoreDetails};
 use crate::search::new::interner::{DedupInterner, Interned};
 use crate::search::new::query_term::LocatedQueryTermSubset;
 use crate::search::new::resolve_query_graph::compute_query_term_subset_docids_within_field_id;
@@ -102,4 +103,8 @@ impl RankingRuleGraphTrait for FidGraph {
 
         Ok(edges)
     }
+
+    fn rank_to_score(rank: Rank) -> ScoreDetails {
+        ScoreDetails::Fid(rank)
+    }
 }
diff --git a/milli/src/search/new/ranking_rule_graph/mod.rs b/milli/src/search/new/ranking_rule_graph/mod.rs
index 8de455822..209ec91de 100644
--- a/milli/src/search/new/ranking_rule_graph/mod.rs
+++ b/milli/src/search/new/ranking_rule_graph/mod.rs
@@ -41,6 +41,7 @@ use super::interner::{DedupInterner, FixedSizeInterner, Interned, MappedInterner
 use super::query_term::LocatedQueryTermSubset;
 use super::small_bitmap::SmallBitmap;
 use super::{QueryGraph, QueryNode, SearchContext};
+use crate::score_details::{Rank, ScoreDetails};
 use crate::Result;
 
 pub struct ComputedCondition {
@@ -110,6 +111,9 @@ pub trait RankingRuleGraphTrait: Sized + 'static {
         source_node: Option<&LocatedQueryTermSubset>,
         dest_node: &LocatedQueryTermSubset,
     ) -> Result<Vec<(u32, Interned<Self::Condition>)>>;
+
+    /// Convert the rank of a path to its corresponding score for the ranking rule
+    fn rank_to_score(rank: Rank) -> ScoreDetails;
 }
 
 /// The graph used by graph-based ranking rules.
diff --git a/milli/src/search/new/ranking_rule_graph/position/mod.rs b/milli/src/search/new/ranking_rule_graph/position/mod.rs
index c6fd3e302..646ff954a 100644
--- a/milli/src/search/new/ranking_rule_graph/position/mod.rs
+++ b/milli/src/search/new/ranking_rule_graph/position/mod.rs
@@ -2,6 +2,7 @@ use fxhash::{FxHashMap, FxHashSet};
 use roaring::RoaringBitmap;
 
 use super::{ComputedCondition, RankingRuleGraphTrait};
+use crate::score_details::{Rank, ScoreDetails};
 use crate::search::new::interner::{DedupInterner, Interned};
 use crate::search::new::query_term::LocatedQueryTermSubset;
 use crate::search::new::resolve_query_graph::compute_query_term_subset_docids_within_position;
@@ -115,6 +116,10 @@ impl RankingRuleGraphTrait for PositionGraph {
 
         Ok(edges)
     }
+
+    fn rank_to_score(rank: Rank) -> ScoreDetails {
+        ScoreDetails::Position(rank)
+    }
 }
 
 fn cost_from_distance(distance: u32) -> u32 {
diff --git a/milli/src/search/new/ranking_rule_graph/proximity/mod.rs b/milli/src/search/new/ranking_rule_graph/proximity/mod.rs
index ead717a6f..532ace626 100644
--- a/milli/src/search/new/ranking_rule_graph/proximity/mod.rs
+++ b/milli/src/search/new/ranking_rule_graph/proximity/mod.rs
@@ -4,6 +4,7 @@ pub mod compute_docids;
 use roaring::RoaringBitmap;
 
 use super::{ComputedCondition, RankingRuleGraphTrait};
+use crate::score_details::{Rank, ScoreDetails};
 use crate::search::new::interner::{DedupInterner, Interned};
 use crate::search::new::query_term::LocatedQueryTermSubset;
 use crate::search::new::SearchContext;
@@ -36,4 +37,8 @@ impl RankingRuleGraphTrait for ProximityGraph {
     ) -> Result<Vec<(u32, Interned<Self::Condition>)>> {
         build::build_edges(ctx, conditions_interner, source_term, dest_term)
     }
+
+    fn rank_to_score(rank: Rank) -> ScoreDetails {
+        ScoreDetails::Proximity(rank)
+    }
 }
diff --git a/milli/src/search/new/ranking_rule_graph/typo/mod.rs b/milli/src/search/new/ranking_rule_graph/typo/mod.rs
index a44be6015..035106ac3 100644
--- a/milli/src/search/new/ranking_rule_graph/typo/mod.rs
+++ b/milli/src/search/new/ranking_rule_graph/typo/mod.rs
@@ -1,6 +1,7 @@
 use roaring::RoaringBitmap;
 
 use super::{ComputedCondition, RankingRuleGraphTrait};
+use crate::score_details::{self, Rank, ScoreDetails};
 use crate::search::new::interner::{DedupInterner, Interned};
 use crate::search::new::query_term::LocatedQueryTermSubset;
 use crate::search::new::resolve_query_graph::compute_query_term_subset_docids;
@@ -75,4 +76,8 @@ impl RankingRuleGraphTrait for TypoGraph {
         }
         Ok(edges)
     }
+
+    fn rank_to_score(rank: Rank) -> ScoreDetails {
+        ScoreDetails::Typo(score_details::Typo::from_rank(rank))
+    }
 }
diff --git a/milli/src/search/new/ranking_rule_graph/words/mod.rs b/milli/src/search/new/ranking_rule_graph/words/mod.rs
index 5b5ff5d08..45a56829f 100644
--- a/milli/src/search/new/ranking_rule_graph/words/mod.rs
+++ b/milli/src/search/new/ranking_rule_graph/words/mod.rs
@@ -1,6 +1,7 @@
 use roaring::RoaringBitmap;
 
 use super::{ComputedCondition, RankingRuleGraphTrait};
+use crate::score_details::{self, Rank, ScoreDetails};
 use crate::search::new::interner::{DedupInterner, Interned};
 use crate::search::new::query_term::LocatedQueryTermSubset;
 use crate::search::new::resolve_query_graph::compute_query_term_subset_docids;
@@ -43,4 +44,8 @@ impl RankingRuleGraphTrait for WordsGraph {
     ) -> Result<Vec<(u32, Interned<Self::Condition>)>> {
         Ok(vec![(0, conditions_interner.insert(WordsCondition { term: to_term.clone() }))])
     }
+
+    fn rank_to_score(rank: Rank) -> ScoreDetails {
+        ScoreDetails::Words(score_details::Words::from_rank(rank))
+    }
 }