diff --git a/lib/src/sparql/eval.rs b/lib/src/sparql/eval.rs
index 8821fb1e..8ab0d8ba 100644
--- a/lib/src/sparql/eval.rs
+++ b/lib/src/sparql/eval.rs
@@ -9,6 +9,7 @@ use crate::sparql::service::ServiceHandler;
 use crate::storage::numeric_encoder::*;
 use crate::storage::small_string::SmallString;
 use digest::Digest;
+use json_event_parser::{JsonEvent, JsonWriter};
 use md5::Md5;
 use oxilangtag::LanguageTag;
 use oxiri::Iri;
@@ -27,10 +28,10 @@ use std::hash::{Hash, Hasher};
 use std::iter::Iterator;
 use std::iter::{empty, once};
 use std::rc::Rc;
-use std::str;
 use std::time::Duration as StdDuration;
 #[cfg(not(all(target_family = "wasm", target_os = "unknown")))]
 use std::time::Instant;
+use std::{fmt, io, str};
 
 const REGEX_SIZE_LIMIT: usize = 1_000_000;
 
@@ -68,9 +69,9 @@ impl SimpleEvaluator {
     #[allow(clippy::rc_buffer)]
     pub fn evaluate_select_plan(
         &self,
-        plan: Rc<PlanNode>,
+        plan: &PlanNode,
         variables: Rc<Vec<Variable>>,
-    ) -> (QueryResults, Rc<PlanNodeWithStats>) {
+    ) -> (QueryResults, Rc<EvalNodeWithStats>) {
         let (eval, stats) = self.plan_evaluator(plan);
         (
             QueryResults::Solutions(decode_bindings(
@@ -84,8 +85,8 @@ impl SimpleEvaluator {
 
     pub fn evaluate_ask_plan(
         &self,
-        plan: Rc<PlanNode>,
-    ) -> (Result<QueryResults, EvaluationError>, Rc<PlanNodeWithStats>) {
+        plan: &PlanNode,
+    ) -> (Result<QueryResults, EvaluationError>, Rc<EvalNodeWithStats>) {
         let from = EncodedTuple::with_capacity(plan.used_variables().len());
         let (eval, stats) = self.plan_evaluator(plan);
         (
@@ -100,9 +101,9 @@ impl SimpleEvaluator {
 
     pub fn evaluate_construct_plan(
         &self,
-        plan: Rc<PlanNode>,
+        plan: &PlanNode,
         template: Vec<TripleTemplate>,
-    ) -> (QueryResults, Rc<PlanNodeWithStats>) {
+    ) -> (QueryResults, Rc<EvalNodeWithStats>) {
         let from = EncodedTuple::with_capacity(plan.used_variables().len());
         let (eval, stats) = self.plan_evaluator(plan);
         (
@@ -119,10 +120,7 @@ impl SimpleEvaluator {
         )
     }
 
-    pub fn evaluate_describe_plan(
-        &self,
-        plan: Rc<PlanNode>,
-    ) -> (QueryResults, Rc<PlanNodeWithStats>) {
+    pub fn evaluate_describe_plan(&self, plan: &PlanNode) -> (QueryResults, Rc<EvalNodeWithStats>) {
         let from = EncodedTuple::with_capacity(plan.used_variables().len());
         let (eval, stats) = self.plan_evaluator(plan);
         (
@@ -139,13 +137,13 @@ impl SimpleEvaluator {
 
     pub fn plan_evaluator(
         &self,
-        node: Rc<PlanNode>,
+        node: &PlanNode,
     ) -> (
         Rc<dyn Fn(EncodedTuple) -> EncodedTuplesIterator>,
-        Rc<PlanNodeWithStats>,
+        Rc<EvalNodeWithStats>,
     ) {
         let mut stat_children = Vec::new();
-        let mut evaluator: Rc<dyn Fn(EncodedTuple) -> EncodedTuplesIterator> = match node.as_ref() {
+        let mut evaluator: Rc<dyn Fn(EncodedTuple) -> EncodedTuplesIterator> = match node {
             PlanNode::StaticBindings { encoded_tuples, .. } => {
                 let tuples = encoded_tuples.clone();
                 Rc::new(move |from| {
@@ -388,9 +386,9 @@ impl SimpleEvaluator {
                     .intersection(&build_child.always_bound_variables())
                     .copied()
                     .collect();
-                let (probe, probe_stats) = self.plan_evaluator(Rc::clone(probe_child));
+                let (probe, probe_stats) = self.plan_evaluator(probe_child);
                 stat_children.push(probe_stats);
-                let (build, build_stats) = self.plan_evaluator(Rc::clone(build_child));
+                let (build, build_stats) = self.plan_evaluator(build_child);
                 stat_children.push(build_stats);
                 if join_keys.is_empty() {
                     // Cartesian product
@@ -434,9 +432,9 @@ impl SimpleEvaluator {
                 }
             }
             PlanNode::ForLoopJoin { left, right } => {
-                let (left, left_stats) = self.plan_evaluator(Rc::clone(left));
+                let (left, left_stats) = self.plan_evaluator(left);
                 stat_children.push(left_stats);
-                let (right, right_stats) = self.plan_evaluator(Rc::clone(right));
+                let (right, right_stats) = self.plan_evaluator(right);
                 stat_children.push(right_stats);
                 Rc::new(move |from| {
                     let right = Rc::clone(&right);
@@ -452,9 +450,9 @@ impl SimpleEvaluator {
                     .intersection(&right.always_bound_variables())
                     .copied()
                     .collect();
-                let (left, left_stats) = self.plan_evaluator(Rc::clone(left));
+                let (left, left_stats) = self.plan_evaluator(left);
                 stat_children.push(left_stats);
-                let (right, right_stats) = self.plan_evaluator(Rc::clone(right));
+                let (right, right_stats) = self.plan_evaluator(right);
                 stat_children.push(right_stats);
                 if join_keys.is_empty() {
                     Rc::new(move |from| {
@@ -495,9 +493,9 @@ impl SimpleEvaluator {
                     .intersection(&right.always_bound_variables())
                     .copied()
                     .collect();
-                let (left, left_stats) = self.plan_evaluator(Rc::clone(left));
+                let (left, left_stats) = self.plan_evaluator(left);
                 stat_children.push(left_stats);
-                let (right, right_stats) = self.plan_evaluator(Rc::clone(right));
+                let (right, right_stats) = self.plan_evaluator(right);
                 stat_children.push(right_stats);
                 let expression = self.expression_evaluator(expression, &mut stat_children);
                 // Real hash join
@@ -520,9 +518,9 @@ impl SimpleEvaluator {
                 })
             }
             PlanNode::ForLoopLeftJoin { left, right } => {
-                let (left, left_stats) = self.plan_evaluator(Rc::clone(left));
+                let (left, left_stats) = self.plan_evaluator(left);
                 stat_children.push(left_stats);
-                let (right, right_stats) = self.plan_evaluator(Rc::clone(right));
+                let (right, right_stats) = self.plan_evaluator(right);
                 stat_children.push(right_stats);
                 Rc::new(move |from| {
                     Box::new(ForLoopLeftJoinIterator {
@@ -533,7 +531,7 @@ impl SimpleEvaluator {
                 })
             }
             PlanNode::Filter { child, expression } => {
-                let (child, child_stats) = self.plan_evaluator(Rc::clone(child));
+                let (child, child_stats) = self.plan_evaluator(child);
                 stat_children.push(child_stats);
                 let expression = self.expression_evaluator(expression, &mut stat_children);
                 Rc::new(move |from| {
@@ -552,7 +550,7 @@ impl SimpleEvaluator {
                 let children: Vec<_> = children
                     .iter()
                     .map(|child| {
-                        let (child, child_stats) = self.plan_evaluator(Rc::clone(child));
+                        let (child, child_stats) = self.plan_evaluator(child);
                         stat_children.push(child_stats);
                         child
                     })
@@ -571,7 +569,7 @@ impl SimpleEvaluator {
                 variable,
                 expression,
             } => {
-                let (child, child_stats) = self.plan_evaluator(Rc::clone(child));
+                let (child, child_stats) = self.plan_evaluator(child);
                 stat_children.push(child_stats);
                 let position = variable.encoded;
                 let expression = self.expression_evaluator(expression, &mut stat_children);
@@ -587,7 +585,7 @@ impl SimpleEvaluator {
                 })
             }
             PlanNode::Sort { child, by } => {
-                let (child, child_stats) = self.plan_evaluator(Rc::clone(child));
+                let (child, child_stats) = self.plan_evaluator(child);
                 stat_children.push(child_stats);
                 let by: Vec<_> = by
                     .iter()
@@ -645,12 +643,12 @@ impl SimpleEvaluator {
                 })
             }
             PlanNode::HashDeduplicate { child } => {
-                let (child, child_stats) = self.plan_evaluator(Rc::clone(child));
+                let (child, child_stats) = self.plan_evaluator(child);
                 stat_children.push(child_stats);
                 Rc::new(move |from| Box::new(hash_deduplicate(child(from))))
             }
             PlanNode::Reduced { child } => {
-                let (child, child_stats) = self.plan_evaluator(Rc::clone(child));
+                let (child, child_stats) = self.plan_evaluator(child);
                 stat_children.push(child_stats);
                 Rc::new(move |from| {
                     Box::new(ConsecutiveDeduplication {
@@ -660,19 +658,19 @@ impl SimpleEvaluator {
                 })
             }
             PlanNode::Skip { child, count } => {
-                let (child, child_stats) = self.plan_evaluator(Rc::clone(child));
+                let (child, child_stats) = self.plan_evaluator(child);
                 stat_children.push(child_stats);
                 let count = *count;
                 Rc::new(move |from| Box::new(child(from).skip(count)))
             }
             PlanNode::Limit { child, count } => {
-                let (child, child_stats) = self.plan_evaluator(Rc::clone(child));
+                let (child, child_stats) = self.plan_evaluator(child);
                 stat_children.push(child_stats);
                 let count = *count;
                 Rc::new(move |from| Box::new(child(from).take(count)))
             }
             PlanNode::Project { child, mapping } => {
-                let (child, child_stats) = self.plan_evaluator(Rc::clone(child));
+                let (child, child_stats) = self.plan_evaluator(child);
                 stat_children.push(child_stats);
                 let mapping = Rc::clone(mapping);
                 Rc::new(move |from| {
@@ -712,7 +710,7 @@ impl SimpleEvaluator {
                 key_variables,
                 aggregates,
             } => {
-                let (child, child_stats) = self.plan_evaluator(Rc::clone(child));
+                let (child, child_stats) = self.plan_evaluator(child);
                 stat_children.push(child_stats);
                 let key_variables = Rc::clone(key_variables);
                 let aggregate_input_expressions: Vec<_> = aggregates
@@ -806,11 +804,11 @@ impl SimpleEvaluator {
                 })
             }
         };
-        let stats = Rc::new(PlanNodeWithStats {
-            node,
+        let stats = Rc::new(EvalNodeWithStats {
+            label: eval_node_label(node),
             children: stat_children,
             exec_count: Cell::new(0),
-            exec_duration: Cell::new(std::time::Duration::from_secs(0)),
+            exec_duration: Cell::new(StdDuration::from_secs(0)),
         });
         if self.run_stats {
             let stats = Rc::clone(&stats);
@@ -920,7 +918,7 @@ impl SimpleEvaluator {
     fn expression_evaluator(
         &self,
         expression: &PlanExpression,
-        stat_children: &mut Vec<Rc<PlanNodeWithStats>>,
+        stat_children: &mut Vec<Rc<EvalNodeWithStats>>,
     ) -> Rc<dyn Fn(&EncodedTuple) -> Option<EncodedTerm>> {
         match expression {
             PlanExpression::NamedNode(t) => {
@@ -936,7 +934,7 @@ impl SimpleEvaluator {
                 Rc::new(move |tuple| tuple.get(v).cloned())
             }
             PlanExpression::Exists(plan) => {
-                let (eval, stats) = self.plan_evaluator(Rc::clone(plan));
+                let (eval, stats) = self.plan_evaluator(plan);
                 stat_children.push(stats);
                 Rc::new(move |tuple| Some(eval(tuple.clone()).next().is_some().into()))
             }
@@ -2086,7 +2084,7 @@ impl SimpleEvaluator {
     fn hash<H: Digest>(
         &self,
         arg: &PlanExpression,
-        stat_children: &mut Vec<Rc<PlanNodeWithStats>>,
+        stat_children: &mut Vec<Rc<EvalNodeWithStats>>,
     ) -> Rc<dyn Fn(&EncodedTuple) -> Option<EncodedTerm>> {
         let arg = self.expression_evaluator(arg, stat_children);
         let dataset = Rc::clone(&self.dataset);
@@ -4719,7 +4717,7 @@ impl Extend<EncodedTuple> for EncodedTupleSet {
 
 struct StatsIterator {
     inner: EncodedTuplesIterator,
-    stats: Rc<PlanNodeWithStats>,
+    stats: Rc<EvalNodeWithStats>,
 }
 
 impl Iterator for StatsIterator {
@@ -4738,6 +4736,145 @@ impl Iterator for StatsIterator {
     }
 }
 
+pub struct EvalNodeWithStats {
+    pub label: String,
+    pub children: Vec<Rc<EvalNodeWithStats>>,
+    pub exec_count: Cell<usize>,
+    pub exec_duration: Cell<StdDuration>,
+}
+
+impl EvalNodeWithStats {
+    pub fn json_node(
+        &self,
+        writer: &mut JsonWriter<impl io::Write>,
+        with_stats: bool,
+    ) -> io::Result<()> {
+        writer.write_event(JsonEvent::StartObject)?;
+        writer.write_event(JsonEvent::ObjectKey("name"))?;
+        writer.write_event(JsonEvent::String(&self.label))?;
+        if with_stats {
+            writer.write_event(JsonEvent::ObjectKey("number of results"))?;
+            writer.write_event(JsonEvent::Number(&self.exec_count.get().to_string()))?;
+            writer.write_event(JsonEvent::ObjectKey("duration in seconds"))?;
+            writer.write_event(JsonEvent::Number(
+                &self.exec_duration.get().as_secs_f32().to_string(),
+            ))?;
+        }
+        writer.write_event(JsonEvent::ObjectKey("children"))?;
+        writer.write_event(JsonEvent::StartArray)?;
+        for child in &self.children {
+            child.json_node(writer, with_stats)?;
+        }
+        writer.write_event(JsonEvent::EndArray)?;
+        writer.write_event(JsonEvent::EndObject)
+    }
+}
+
+impl fmt::Debug for EvalNodeWithStats {
+    fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
+        let mut obj = f.debug_struct("Node");
+        obj.field("name", &self.label);
+        if self.exec_duration.get() > StdDuration::default() {
+            obj.field("number of results", &self.exec_count.get());
+            obj.field("duration in seconds", &self.exec_duration.get());
+        }
+        if !self.children.is_empty() {
+            obj.field("children", &self.children);
+        }
+        obj.finish()
+    }
+}
+
+fn eval_node_label(node: &PlanNode) -> String {
+    match node {
+        PlanNode::Aggregate {
+            key_variables,
+            aggregates,
+            ..
+        } => format!(
+            "Aggregate({})",
+            key_variables
+                .iter()
+                .map(ToString::to_string)
+                .chain(aggregates.iter().map(|(agg, v)| format!("{agg} -> {v}")))
+                .collect::<Vec<_>>()
+                .join(", ")
+        ),
+        PlanNode::AntiJoin { .. } => "AntiJoin".to_owned(),
+        PlanNode::Extend {
+            expression,
+            variable,
+            ..
+        } => format!("Extend({expression} -> {variable})"),
+        PlanNode::Filter { expression, .. } => format!("Filter({expression})"),
+        PlanNode::ForLoopJoin { .. } => "ForLoopJoin".to_owned(),
+        PlanNode::ForLoopLeftJoin { .. } => "ForLoopLeftJoin".to_owned(),
+        PlanNode::HashDeduplicate { .. } => "HashDeduplicate".to_owned(),
+        PlanNode::HashJoin { .. } => "HashJoin".to_owned(),
+        PlanNode::HashLeftJoin { expression, .. } => format!("HashLeftJoin({expression})"),
+        PlanNode::Limit { count, .. } => format!("Limit({count})"),
+        PlanNode::PathPattern {
+            subject,
+            path,
+            object,
+            graph_name,
+        } => format!("PathPattern({subject} {path} {object} {graph_name})"),
+        PlanNode::Project { mapping, .. } => {
+            format!(
+                "Project({})",
+                mapping
+                    .iter()
+                    .map(|(f, t)| if f.plain == t.plain {
+                        f.to_string()
+                    } else {
+                        format!("{f} -> {t}")
+                    })
+                    .collect::<Vec<_>>()
+                    .join(", ")
+            )
+        }
+        PlanNode::QuadPattern {
+            subject,
+            predicate,
+            object,
+            graph_name,
+        } => format!("QuadPattern({subject} {predicate} {object} {graph_name})"),
+        PlanNode::Reduced { .. } => "Reduced".to_owned(),
+        PlanNode::Service {
+            service_name,
+            silent,
+            ..
+        } => {
+            if *silent {
+                format!("SilentService({service_name})")
+            } else {
+                format!("Service({service_name})")
+            }
+        }
+        PlanNode::Skip { count, .. } => format!("Skip({count})"),
+        PlanNode::Sort { by, .. } => {
+            format!(
+                "Sort({})",
+                by.iter()
+                    .map(ToString::to_string)
+                    .collect::<Vec<_>>()
+                    .join(", ")
+            )
+        }
+        PlanNode::StaticBindings { variables, .. } => {
+            format!(
+                "StaticBindings({})",
+                variables
+                    .iter()
+                    .map(ToString::to_string)
+                    .collect::<Vec<_>>()
+                    .join(", ")
+            )
+        }
+        PlanNode::Union { .. } => "Union".to_owned(),
+    }
+}
+
 #[cfg(all(target_family = "wasm", target_os = "unknown"))]
 pub struct Timer {
     timestamp_ms: f64,
diff --git a/lib/src/sparql/mod.rs b/lib/src/sparql/mod.rs
index 9612d514..e66e114b 100644
--- a/lib/src/sparql/mod.rs
+++ b/lib/src/sparql/mod.rs
@@ -17,9 +17,8 @@ use crate::model::{NamedNode, Term};
 pub use crate::sparql::algebra::{Query, QueryDataset, Update};
 use crate::sparql::dataset::DatasetView;
 pub use crate::sparql::error::{EvaluationError, QueryError};
-use crate::sparql::eval::{SimpleEvaluator, Timer};
+use crate::sparql::eval::{EvalNodeWithStats, SimpleEvaluator, Timer};
 pub use crate::sparql::model::{QueryResults, QuerySolution, QuerySolutionIter, QueryTripleIter};
-use crate::sparql::plan::PlanNodeWithStats;
 use crate::sparql::plan_builder::PlanBuilder;
 pub use crate::sparql::service::ServiceHandler;
 use crate::sparql::service::{EmptyServiceHandler, ErrorConversionServiceHandler};
@@ -63,7 +62,7 @@ pub(crate) fn evaluate_query(
                 Rc::new(options.custom_functions),
                 run_stats,
             )
-            .evaluate_select_plan(Rc::new(plan), Rc::new(variables));
+            .evaluate_select_plan(&plan, Rc::new(variables));
             (Ok(results), explanation, planning_duration)
         }
         spargebra::Query::Ask {
@@ -84,7 +83,7 @@ pub(crate) fn evaluate_query(
                 Rc::new(options.custom_functions),
                 run_stats,
             )
-            .evaluate_ask_plan(Rc::new(plan));
+            .evaluate_ask_plan(&plan);
             (results, explanation, planning_duration)
         }
         spargebra::Query::Construct {
@@ -114,7 +113,7 @@ pub(crate) fn evaluate_query(
                 Rc::new(options.custom_functions),
                 run_stats,
             )
-            .evaluate_construct_plan(Rc::new(plan), construct);
+            .evaluate_construct_plan(&plan, construct);
             (Ok(results), explanation, planning_duration)
         }
         spargebra::Query::Describe {
@@ -135,7 +134,7 @@ pub(crate) fn evaluate_query(
                 Rc::new(options.custom_functions),
                 run_stats,
             )
-            .evaluate_describe_plan(Rc::new(plan));
+            .evaluate_describe_plan(&plan);
             (Ok(results), explanation, planning_duration)
         }
     };
@@ -284,7 +283,7 @@ impl From<QueryOptions> for UpdateOptions {
 /// The explanation of a query.
 #[derive(Clone)]
 pub struct QueryExplanation {
-    inner: Rc<PlanNodeWithStats>,
+    inner: Rc<EvalNodeWithStats>,
     with_stats: bool,
     parsing_duration: Option<Duration>,
     planning_duration: Duration,
diff --git a/lib/src/sparql/plan.rs b/lib/src/sparql/plan.rs
index 905e4da0..a447fb01 100644
--- a/lib/src/sparql/plan.rs
+++ b/lib/src/sparql/plan.rs
@@ -1,17 +1,14 @@
 use crate::model::{BlankNode, Literal, NamedNode, Term, Triple};
 use crate::sparql::Variable;
 use crate::storage::numeric_encoder::EncodedTerm;
-use json_event_parser::{JsonEvent, JsonWriter};
 use regex::Regex;
 use spargebra::algebra::GraphPattern;
 use spargebra::term::GroundTerm;
-use std::cell::Cell;
 use std::cmp::max;
 use std::collections::btree_map::Entry;
 use std::collections::{BTreeMap, BTreeSet};
+use std::fmt;
 use std::rc::Rc;
-use std::time::Duration;
-use std::{fmt, io};
 
 #[derive(Debug, Clone)]
 pub enum PlanNode {
@@ -1022,142 +1019,3 @@ impl IntoIterator for EncodedTuple {
         self.inner.into_iter()
     }
 }
-
-pub struct PlanNodeWithStats {
-    pub node: Rc<PlanNode>,
-    pub children: Vec<Rc<PlanNodeWithStats>>,
-    pub exec_count: Cell<usize>,
-    pub exec_duration: Cell<Duration>,
-}
-
-impl PlanNodeWithStats {
-    pub fn json_node(
-        &self,
-        writer: &mut JsonWriter<impl io::Write>,
-        with_stats: bool,
-    ) -> io::Result<()> {
-        writer.write_event(JsonEvent::StartObject)?;
-        writer.write_event(JsonEvent::ObjectKey("name"))?;
-        writer.write_event(JsonEvent::String(&self.node_label()))?;
-        if with_stats {
-            writer.write_event(JsonEvent::ObjectKey("number of results"))?;
-            writer.write_event(JsonEvent::Number(&self.exec_count.get().to_string()))?;
-            writer.write_event(JsonEvent::ObjectKey("duration in seconds"))?;
-            writer.write_event(JsonEvent::Number(
-                &self.exec_duration.get().as_secs_f32().to_string(),
-            ))?;
-        }
-        writer.write_event(JsonEvent::ObjectKey("children"))?;
-        writer.write_event(JsonEvent::StartArray)?;
-        for child in &self.children {
-            child.json_node(writer, with_stats)?;
-        }
-        writer.write_event(JsonEvent::EndArray)?;
-        writer.write_event(JsonEvent::EndObject)
-    }
-
-    fn node_label(&self) -> String {
-        match self.node.as_ref() {
-            PlanNode::Aggregate {
-                key_variables,
-                aggregates,
-                ..
-            } => format!(
-                "Aggregate({})",
-                key_variables
-                    .iter()
-                    .map(ToString::to_string)
-                    .chain(aggregates.iter().map(|(agg, v)| format!("{agg} -> {v}")))
-                    .collect::<Vec<_>>()
-                    .join(", ")
-            ),
-            PlanNode::AntiJoin { .. } => "AntiJoin".to_owned(),
-            PlanNode::Extend {
-                expression,
-                variable,
-                ..
-            } => format!("Extend({expression} -> {variable})"),
-            PlanNode::Filter { expression, .. } => format!("Filter({expression})"),
-            PlanNode::ForLoopJoin { .. } => "ForLoopJoin".to_owned(),
-            PlanNode::ForLoopLeftJoin { .. } => "ForLoopLeftJoin".to_owned(),
-            PlanNode::HashDeduplicate { .. } => "HashDeduplicate".to_owned(),
-            PlanNode::HashJoin { .. } => "HashJoin".to_owned(),
-            PlanNode::HashLeftJoin { expression, .. } => format!("HashLeftJoin({expression})"),
-            PlanNode::Limit { count, .. } => format!("Limit({count})"),
-            PlanNode::PathPattern {
-                subject,
-                path,
-                object,
-                graph_name,
-            } => format!("PathPattern({subject} {path} {object} {graph_name})"),
-            PlanNode::Project { mapping, .. } => {
-                format!(
-                    "Project({})",
-                    mapping
-                        .iter()
-                        .map(|(f, t)| if f.plain == t.plain {
-                            f.to_string()
-                        } else {
-                            format!("{f} -> {t}")
-                        })
-                        .collect::<Vec<_>>()
-                        .join(", ")
-                )
-            }
-            PlanNode::QuadPattern {
-                subject,
-                predicate,
-                object,
-                graph_name,
-            } => format!("QuadPattern({subject} {predicate} {object} {graph_name})"),
-            PlanNode::Reduced { .. } => "Reduced".to_owned(),
-            PlanNode::Service {
-                service_name,
-                silent,
-                ..
-            } => {
-                if *silent {
-                    format!("SilentService({service_name})")
-                } else {
-                    format!("Service({service_name})")
-                }
-            }
-            PlanNode::Skip { count, .. } => format!("Skip({count})"),
-            PlanNode::Sort { by, .. } => {
-                format!(
-                    "Sort({})",
-                    by.iter()
-                        .map(ToString::to_string)
-                        .collect::<Vec<_>>()
-                        .join(", ")
-                )
-            }
-            PlanNode::StaticBindings { variables, .. } => {
-                format!(
-                    "StaticBindings({})",
-                    variables
-                        .iter()
-                        .map(ToString::to_string)
-                        .collect::<Vec<_>>()
-                        .join(", ")
-                )
-            }
-            PlanNode::Union { .. } => "Union".to_owned(),
-        }
-    }
-}
-
-impl fmt::Debug for PlanNodeWithStats {
-    fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
-        let mut obj = f.debug_struct("Node");
-        obj.field("name", &self.node_label());
-        if self.exec_duration.get() > Duration::default() {
-            obj.field("number of results", &self.exec_count.get());
-            obj.field("duration in seconds", &self.exec_duration.get());
-        }
-        if !self.children.is_empty() {
-            obj.field("children", &self.children);
-        }
-        obj.finish()
-    }
-}
diff --git a/lib/src/sparql/update.rs b/lib/src/sparql/update.rs
index 3c05c8f5..3091172f 100644
--- a/lib/src/sparql/update.rs
+++ b/lib/src/sparql/update.rs
@@ -140,7 +140,7 @@ impl<'a, 'b: 'a> SimpleUpdateEvaluator<'a, 'b> {
             false,
         );
         let mut bnodes = HashMap::new();
-        let (eval, _) = evaluator.plan_evaluator(Rc::new(plan));
+        let (eval, _) = evaluator.plan_evaluator(&plan);
         let tuples =
             eval(EncodedTuple::with_capacity(variables.len())).collect::<Result<Vec<_>, _>>()?; //TODO: would be much better to stream
         for tuple in tuples {