diff --git a/.travis/cli-tests.sh b/.travis/cli-tests.sh
index 7281819110..c209c6f6c9 100755
--- a/.travis/cli-tests.sh
+++ b/.travis/cli-tests.sh
@@ -105,6 +105,7 @@ $TRACT_RUN $MODELS/en_libri_real/model.onnx \
     -O  \
     run \
     --input-from-bundle $MODELS/en_libri_real/io.npz \
+    --approx approximate \
     --allow-random-input \
     --assert-output-bundle $MODELS/en_libri_real/io.npz
     
diff --git a/cli/src/main.rs b/cli/src/main.rs
index daf92bb2e9..66a326a0e4 100644
--- a/cli/src/main.rs
+++ b/cli/src/main.rs
@@ -405,6 +405,14 @@ fn dump_subcommand<'a>() -> clap::Command<'a> {
 fn assertions_options(command: clap::Command) -> clap::Command {
     use clap::*;
     command
+        .arg(
+            Arg::new("approx")
+            .takes_value(true)
+            .possible_values(["exact", "close", "approximate", "super"])
+            .default_value("close")
+            .long("approx")
+            .help("Approximation level used in assertions."),
+            )
         .arg(
             Arg::new("assert-output")
             .takes_value(true)
diff --git a/cli/src/params.rs b/cli/src/params.rs
index 32a0f98a61..280950c066 100644
--- a/cli/src/params.rs
+++ b/cli/src/params.rs
@@ -1107,6 +1107,7 @@ pub struct Assertions {
     pub assert_outputs: bool,
     pub assert_output_facts: Option<Vec<InferenceFact>>,
     pub assert_op_count: Option<Vec<(String, usize)>>,
+    pub approximation: Approximation
 }
 
 impl Assertions {
@@ -1123,7 +1124,13 @@ impl Assertions {
                     .map(|mut args| Some((args.next()?.to_string(), args.next()?.parse().ok()?)))
                     .collect()
             });
-
-        Ok(Assertions { assert_outputs, assert_output_facts, assert_op_count })
+        let approximation = match sub.value_of("approx").unwrap() {
+            "exact" => Approximation::Exact,
+            "close" => Approximation::Close,
+            "approximate" => Approximation::Approximate,
+            "super" => Approximation::SuperApproximate,
+            _ => panic!()
+        };
+        Ok(Assertions { assert_outputs, assert_output_facts, assert_op_count, approximation })
     }
 }
diff --git a/cli/src/utils.rs b/cli/src/utils.rs
index 8899c49420..04b4fd82a2 100644
--- a/cli/src/utils.rs
+++ b/cli/src/utils.rs
@@ -45,7 +45,10 @@ pub fn check_outputs(got: &[Vec<TValue>], params: &Parameters) -> TractResult<()
         {
             exp = exp.cast_to_dt(got.datum_type())?.into_owned().into_tvalue();
         }
-        if let Err(e) = exp.close_enough(&got, true).context(format!("Checking output {ix}")) {
+        if let Err(e) = exp
+            .close_enough(&got, params.assertions.approximation)
+            .context(format!("Checking output {ix}"))
+        {
             if error.is_some() {
                 error!("{:?}", e);
             } else {
diff --git a/data/src/tensor.rs b/data/src/tensor.rs
index da960c2c78..ea1204ebf8 100644
--- a/data/src/tensor.rs
+++ b/data/src/tensor.rs
@@ -20,9 +20,10 @@ use std::sync::Arc;
 pub mod litteral;
 pub mod view;
 
-#[derive(Copy, Clone, PartialEq, Eq, Debug)]
+#[derive(Copy, Clone, Default, PartialEq, Eq, Debug)]
 pub enum Approximation {
     Exact,
+    #[default]
     Close,
     Approximate,
     SuperApproximate,