diff --git a/vortex-array/public-api.lock b/vortex-array/public-api.lock
index d5ab9cc61f8..1a7102a131a 100644
--- a/vortex-array/public-api.lock
+++ b/vortex-array/public-api.lock
@@ -16176,7 +16176,7 @@ pub fn vortex_array::scalar_fn::fns::fill_null::FillNull::deserialize(&self, _me
 
 pub fn vortex_array::scalar_fn::fns::fill_null::FillNull::execute(&self, _options: &Self::Options, args: &dyn vortex_array::scalar_fn::ExecutionArgs, ctx: &mut vortex_array::ExecutionCtx) -> vortex_error::VortexResult<vortex_array::ArrayRef>
 
-pub fn vortex_array::scalar_fn::fns::fill_null::FillNull::fmt_sql(&self, _options: &Self::Options, expr: &vortex_array::expr::Expression, f: &mut core::fmt::Formatter<'_>) -> core::fmt::Result
+pub fn vortex_array::scalar_fn::fns::fill_null::FillNull::fmt_sql(&self, options: &Self::Options, expr: &vortex_array::expr::Expression, f: &mut core::fmt::Formatter<'_>) -> core::fmt::Result
 
 pub fn vortex_array::scalar_fn::fns::fill_null::FillNull::id(&self) -> vortex_array::scalar_fn::ScalarFnId
 
@@ -16332,7 +16332,7 @@ pub fn vortex_array::scalar_fn::fns::is_null::IsNull::deserialize(&self, _metada
 
 pub fn vortex_array::scalar_fn::fns::is_null::IsNull::execute(&self, _data: &Self::Options, args: &dyn vortex_array::scalar_fn::ExecutionArgs, _ctx: &mut vortex_array::ExecutionCtx) -> vortex_error::VortexResult<vortex_array::ArrayRef>
 
-pub fn vortex_array::scalar_fn::fns::is_null::IsNull::fmt_sql(&self, _options: &Self::Options, expr: &vortex_array::expr::Expression, f: &mut core::fmt::Formatter<'_>) -> core::fmt::Result
+pub fn vortex_array::scalar_fn::fns::is_null::IsNull::fmt_sql(&self, options: &Self::Options, expr: &vortex_array::expr::Expression, f: &mut core::fmt::Formatter<'_>) -> core::fmt::Result
 
 pub fn vortex_array::scalar_fn::fns::is_null::IsNull::id(&self) -> vortex_array::scalar_fn::ScalarFnId
 
@@ -16504,7 +16504,7 @@ pub fn vortex_array::scalar_fn::fns::list_contains::ListContains::deserialize(&s
 
 pub fn vortex_array::scalar_fn::fns::list_contains::ListContains::execute(&self, _options: &Self::Options, args: &dyn vortex_array::scalar_fn::ExecutionArgs, ctx: &mut vortex_array::ExecutionCtx) -> vortex_error::VortexResult<vortex_array::ArrayRef>
 
-pub fn vortex_array::scalar_fn::fns::list_contains::ListContains::fmt_sql(&self, _options: &Self::Options, expr: &vortex_array::expr::Expression, f: &mut core::fmt::Formatter<'_>) -> core::fmt::Result
+pub fn vortex_array::scalar_fn::fns::list_contains::ListContains::fmt_sql(&self, options: &Self::Options, expr: &vortex_array::expr::Expression, f: &mut core::fmt::Formatter<'_>) -> core::fmt::Result
 
 pub fn vortex_array::scalar_fn::fns::list_contains::ListContains::id(&self) -> vortex_array::scalar_fn::ScalarFnId
 
@@ -16636,7 +16636,7 @@ pub fn vortex_array::scalar_fn::fns::mask::Mask::deserialize(&self, _metadata: &
 
 pub fn vortex_array::scalar_fn::fns::mask::Mask::execute(&self, _options: &Self::Options, args: &dyn vortex_array::scalar_fn::ExecutionArgs, ctx: &mut vortex_array::ExecutionCtx) -> vortex_error::VortexResult<vortex_array::ArrayRef>
 
-pub fn vortex_array::scalar_fn::fns::mask::Mask::fmt_sql(&self, _options: &Self::Options, expr: &vortex_array::expr::Expression, f: &mut core::fmt::Formatter<'_>) -> core::fmt::Result
+pub fn vortex_array::scalar_fn::fns::mask::Mask::fmt_sql(&self, options: &Self::Options, expr: &vortex_array::expr::Expression, f: &mut core::fmt::Formatter<'_>) -> core::fmt::Result
 
 pub fn vortex_array::scalar_fn::fns::mask::Mask::id(&self) -> vortex_array::scalar_fn::ScalarFnId
 
@@ -16814,7 +16814,7 @@ pub fn vortex_array::scalar_fn::fns::merge::Merge::deserialize(&self, _metadata:
 
 pub fn vortex_array::scalar_fn::fns::merge::Merge::execute(&self, options: &Self::Options, args: &dyn vortex_array::scalar_fn::ExecutionArgs, ctx: &mut vortex_array::ExecutionCtx) -> vortex_error::VortexResult<vortex_array::ArrayRef>
 
-pub fn vortex_array::scalar_fn::fns::merge::Merge::fmt_sql(&self, _options: &Self::Options, expr: &vortex_array::expr::Expression, f: &mut core::fmt::Formatter<'_>) -> core::fmt::Result
+pub fn vortex_array::scalar_fn::fns::merge::Merge::fmt_sql(&self, options: &Self::Options, expr: &vortex_array::expr::Expression, f: &mut core::fmt::Formatter<'_>) -> core::fmt::Result
 
 pub fn vortex_array::scalar_fn::fns::merge::Merge::id(&self) -> vortex_array::scalar_fn::ScalarFnId
 
@@ -16860,7 +16860,7 @@ pub fn vortex_array::scalar_fn::fns::not::Not::deserialize(&self, _metadata: &[u
 
 pub fn vortex_array::scalar_fn::fns::not::Not::execute(&self, _data: &Self::Options, args: &dyn vortex_array::scalar_fn::ExecutionArgs, ctx: &mut vortex_array::ExecutionCtx) -> vortex_error::VortexResult<vortex_array::ArrayRef>
 
-pub fn vortex_array::scalar_fn::fns::not::Not::fmt_sql(&self, _options: &Self::Options, expr: &vortex_array::expr::Expression, f: &mut core::fmt::Formatter<'_>) -> core::fmt::Result
+pub fn vortex_array::scalar_fn::fns::not::Not::fmt_sql(&self, options: &Self::Options, expr: &vortex_array::expr::Expression, f: &mut core::fmt::Formatter<'_>) -> core::fmt::Result
 
 pub fn vortex_array::scalar_fn::fns::not::Not::id(&self) -> vortex_array::scalar_fn::ScalarFnId
 
@@ -18030,7 +18030,7 @@ pub fn vortex_array::scalar_fn::fns::fill_null::FillNull::deserialize(&self, _me
 
 pub fn vortex_array::scalar_fn::fns::fill_null::FillNull::execute(&self, _options: &Self::Options, args: &dyn vortex_array::scalar_fn::ExecutionArgs, ctx: &mut vortex_array::ExecutionCtx) -> vortex_error::VortexResult<vortex_array::ArrayRef>
 
-pub fn vortex_array::scalar_fn::fns::fill_null::FillNull::fmt_sql(&self, _options: &Self::Options, expr: &vortex_array::expr::Expression, f: &mut core::fmt::Formatter<'_>) -> core::fmt::Result
+pub fn vortex_array::scalar_fn::fns::fill_null::FillNull::fmt_sql(&self, options: &Self::Options, expr: &vortex_array::expr::Expression, f: &mut core::fmt::Formatter<'_>) -> core::fmt::Result
 
 pub fn vortex_array::scalar_fn::fns::fill_null::FillNull::id(&self) -> vortex_array::scalar_fn::ScalarFnId
 
@@ -18106,7 +18106,7 @@ pub fn vortex_array::scalar_fn::fns::is_null::IsNull::deserialize(&self, _metada
 
 pub fn vortex_array::scalar_fn::fns::is_null::IsNull::execute(&self, _data: &Self::Options, args: &dyn vortex_array::scalar_fn::ExecutionArgs, _ctx: &mut vortex_array::ExecutionCtx) -> vortex_error::VortexResult<vortex_array::ArrayRef>
 
-pub fn vortex_array::scalar_fn::fns::is_null::IsNull::fmt_sql(&self, _options: &Self::Options, expr: &vortex_array::expr::Expression, f: &mut core::fmt::Formatter<'_>) -> core::fmt::Result
+pub fn vortex_array::scalar_fn::fns::is_null::IsNull::fmt_sql(&self, options: &Self::Options, expr: &vortex_array::expr::Expression, f: &mut core::fmt::Formatter<'_>) -> core::fmt::Result
 
 pub fn vortex_array::scalar_fn::fns::is_null::IsNull::id(&self) -> vortex_array::scalar_fn::ScalarFnId
 
@@ -18182,7 +18182,7 @@ pub fn vortex_array::scalar_fn::fns::list_contains::ListContains::deserialize(&s
 
 pub fn vortex_array::scalar_fn::fns::list_contains::ListContains::execute(&self, _options: &Self::Options, args: &dyn vortex_array::scalar_fn::ExecutionArgs, ctx: &mut vortex_array::ExecutionCtx) -> vortex_error::VortexResult<vortex_array::ArrayRef>
 
-pub fn vortex_array::scalar_fn::fns::list_contains::ListContains::fmt_sql(&self, _options: &Self::Options, expr: &vortex_array::expr::Expression, f: &mut core::fmt::Formatter<'_>) -> core::fmt::Result
+pub fn vortex_array::scalar_fn::fns::list_contains::ListContains::fmt_sql(&self, options: &Self::Options, expr: &vortex_array::expr::Expression, f: &mut core::fmt::Formatter<'_>) -> core::fmt::Result
 
 pub fn vortex_array::scalar_fn::fns::list_contains::ListContains::id(&self) -> vortex_array::scalar_fn::ScalarFnId
 
@@ -18258,7 +18258,7 @@ pub fn vortex_array::scalar_fn::fns::mask::Mask::deserialize(&self, _metadata: &
 
 pub fn vortex_array::scalar_fn::fns::mask::Mask::execute(&self, _options: &Self::Options, args: &dyn vortex_array::scalar_fn::ExecutionArgs, ctx: &mut vortex_array::ExecutionCtx) -> vortex_error::VortexResult<vortex_array::ArrayRef>
 
-pub fn vortex_array::scalar_fn::fns::mask::Mask::fmt_sql(&self, _options: &Self::Options, expr: &vortex_array::expr::Expression, f: &mut core::fmt::Formatter<'_>) -> core::fmt::Result
+pub fn vortex_array::scalar_fn::fns::mask::Mask::fmt_sql(&self, options: &Self::Options, expr: &vortex_array::expr::Expression, f: &mut core::fmt::Formatter<'_>) -> core::fmt::Result
 
 pub fn vortex_array::scalar_fn::fns::mask::Mask::id(&self) -> vortex_array::scalar_fn::ScalarFnId
 
@@ -18296,7 +18296,7 @@ pub fn vortex_array::scalar_fn::fns::merge::Merge::deserialize(&self, _metadata:
 
 pub fn vortex_array::scalar_fn::fns::merge::Merge::execute(&self, options: &Self::Options, args: &dyn vortex_array::scalar_fn::ExecutionArgs, ctx: &mut vortex_array::ExecutionCtx) -> vortex_error::VortexResult<vortex_array::ArrayRef>
 
-pub fn vortex_array::scalar_fn::fns::merge::Merge::fmt_sql(&self, _options: &Self::Options, expr: &vortex_array::expr::Expression, f: &mut core::fmt::Formatter<'_>) -> core::fmt::Result
+pub fn vortex_array::scalar_fn::fns::merge::Merge::fmt_sql(&self, options: &Self::Options, expr: &vortex_array::expr::Expression, f: &mut core::fmt::Formatter<'_>) -> core::fmt::Result
 
 pub fn vortex_array::scalar_fn::fns::merge::Merge::id(&self) -> vortex_array::scalar_fn::ScalarFnId
 
@@ -18334,7 +18334,7 @@ pub fn vortex_array::scalar_fn::fns::not::Not::deserialize(&self, _metadata: &[u
 
 pub fn vortex_array::scalar_fn::fns::not::Not::execute(&self, _data: &Self::Options, args: &dyn vortex_array::scalar_fn::ExecutionArgs, ctx: &mut vortex_array::ExecutionCtx) -> vortex_error::VortexResult<vortex_array::ArrayRef>
 
-pub fn vortex_array::scalar_fn::fns::not::Not::fmt_sql(&self, _options: &Self::Options, expr: &vortex_array::expr::Expression, f: &mut core::fmt::Formatter<'_>) -> core::fmt::Result
+pub fn vortex_array::scalar_fn::fns::not::Not::fmt_sql(&self, options: &Self::Options, expr: &vortex_array::expr::Expression, f: &mut core::fmt::Formatter<'_>) -> core::fmt::Result
 
 pub fn vortex_array::scalar_fn::fns::not::Not::id(&self) -> vortex_array::scalar_fn::ScalarFnId
 
diff --git a/vortex-array/src/expr/mod.rs b/vortex-array/src/expr/mod.rs
index 9d973a01cae..a5d32510443 100644
--- a/vortex-array/src/expr/mod.rs
+++ b/vortex-array/src/expr/mod.rs
@@ -207,7 +207,7 @@ mod tests {
             "(($.col1 < $.col2) or ($.col1 != $.col2))"
         );
 
-        assert_eq!(not(col1).to_string(), "not($.col1)");
+        assert_eq!(not(col1).to_string(), "vortex.not($.col1)");
 
         assert_eq!(
             select(vec![FieldName::from("col1")], root()).to_string(),
diff --git a/vortex-array/src/scalar_fn/fns/fill_null/mod.rs b/vortex-array/src/scalar_fn/fns/fill_null/mod.rs
index 656029bf82d..d27b3f49d37 100644
--- a/vortex-array/src/scalar_fn/fns/fill_null/mod.rs
+++ b/vortex-array/src/scalar_fn/fns/fill_null/mod.rs
@@ -3,8 +3,6 @@
 
 mod kernel;
 
-use std::fmt::Formatter;
-
 pub use kernel::*;
 use vortex_error::VortexResult;
 use vortex_error::vortex_bail;
@@ -66,19 +64,6 @@ impl ScalarFnVTable for FillNull {
         }
     }
 
-    fn fmt_sql(
-        &self,
-        _options: &Self::Options,
-        expr: &Expression,
-        f: &mut Formatter<'_>,
-    ) -> std::fmt::Result {
-        write!(f, "fill_null(")?;
-        expr.child(0).fmt_sql(f)?;
-        write!(f, ", ")?;
-        expr.child(1).fmt_sql(f)?;
-        write!(f, ")")
-    }
-
     fn return_dtype(&self, _options: &Self::Options, arg_dtypes: &[DType]) -> VortexResult<DType> {
         vortex_ensure!(
             arg_dtypes[0].eq_ignore_nullability(&arg_dtypes[1]),
@@ -265,6 +250,6 @@ mod tests {
     #[test]
     fn test_display() {
         let expr = fill_null(get_item("value", root()), lit(0i32));
-        assert_eq!(expr.to_string(), "fill_null($.value, 0i32)");
+        assert_eq!(expr.to_string(), "vortex.fill_null($.value, 0i32)");
     }
 }
diff --git a/vortex-array/src/scalar_fn/fns/is_null.rs b/vortex-array/src/scalar_fn/fns/is_null.rs
index dd3ef3366c6..c2f78db9718 100644
--- a/vortex-array/src/scalar_fn/fns/is_null.rs
+++ b/vortex-array/src/scalar_fn/fns/is_null.rs
@@ -1,8 +1,6 @@
 // SPDX-License-Identifier: Apache-2.0
 // SPDX-FileCopyrightText: Copyright the Vortex contributors
 
-use std::fmt::Formatter;
-
 use vortex_error::VortexResult;
 use vortex_session::VortexSession;
 
@@ -60,17 +58,6 @@ impl ScalarFnVTable for IsNull {
         }
     }
 
-    fn fmt_sql(
-        &self,
-        _options: &Self::Options,
-        expr: &Expression,
-        f: &mut Formatter<'_>,
-    ) -> std::fmt::Result {
-        write!(f, "is_null(")?;
-        expr.child(0).fmt_sql(f)?;
-        write!(f, ")")
-    }
-
     fn return_dtype(&self, _options: &Self::Options, _arg_dtypes: &[DType]) -> VortexResult<DType> {
         Ok(DType::Bool(Nullability::NonNullable))
     }
@@ -240,10 +227,10 @@ mod tests {
     #[test]
     fn test_display() {
         let expr = is_null(get_item("name", root()));
-        assert_eq!(expr.to_string(), "is_null($.name)");
+        assert_eq!(expr.to_string(), "vortex.is_null($.name)");
 
         let expr2 = is_null(root());
-        assert_eq!(expr2.to_string(), "is_null($)");
+        assert_eq!(expr2.to_string(), "vortex.is_null($)");
     }
 
     #[test]
diff --git a/vortex-array/src/scalar_fn/fns/list_contains/mod.rs b/vortex-array/src/scalar_fn/fns/list_contains/mod.rs
index b4d6c3e6bc4..930a340e85f 100644
--- a/vortex-array/src/scalar_fn/fns/list_contains/mod.rs
+++ b/vortex-array/src/scalar_fn/fns/list_contains/mod.rs
@@ -3,7 +3,6 @@
 
 mod kernel;
 
-use std::fmt::Formatter;
 use std::ops::BitOr;
 
 use arrow_buffer::bit_iterator::BitIndexIterator;
@@ -89,19 +88,6 @@ impl ScalarFnVTable for ListContains {
             ),
         }
     }
-    fn fmt_sql(
-        &self,
-        _options: &Self::Options,
-        expr: &Expression,
-        f: &mut Formatter<'_>,
-    ) -> std::fmt::Result {
-        write!(f, "contains(")?;
-        expr.child(0).fmt_sql(f)?;
-        write!(f, ", ")?;
-        expr.child(1).fmt_sql(f)?;
-        write!(f, ")")
-    }
-
     fn return_dtype(&self, _options: &Self::Options, arg_dtypes: &[DType]) -> VortexResult<DType> {
         let list_dtype = &arg_dtypes[0];
         let needle_dtype = &arg_dtypes[1];
@@ -655,10 +641,10 @@ mod tests {
     #[test]
     pub fn test_display() {
         let expr = list_contains(get_item("tags", root()), lit("urgent"));
-        assert_eq!(expr.to_string(), "contains($.tags, \"urgent\")");
+        assert_eq!(expr.to_string(), "vortex.list.contains($.tags, \"urgent\")");
 
         let expr2 = list_contains(root(), lit(42));
-        assert_eq!(expr2.to_string(), "contains($, 42i32)");
+        assert_eq!(expr2.to_string(), "vortex.list.contains($, 42i32)");
     }
 
     #[test]
diff --git a/vortex-array/src/scalar_fn/fns/mask/mod.rs b/vortex-array/src/scalar_fn/fns/mask/mod.rs
index eaf83307b35..608d6523ae4 100644
--- a/vortex-array/src/scalar_fn/fns/mask/mod.rs
+++ b/vortex-array/src/scalar_fn/fns/mask/mod.rs
@@ -2,7 +2,6 @@
 // SPDX-FileCopyrightText: Copyright the Vortex contributors
 
 mod kernel;
-use std::fmt::Formatter;
 
 pub use kernel::*;
 use vortex_error::VortexExpect;
@@ -73,19 +72,6 @@ impl ScalarFnVTable for Mask {
         }
     }
 
-    fn fmt_sql(
-        &self,
-        _options: &Self::Options,
-        expr: &Expression,
-        f: &mut Formatter<'_>,
-    ) -> std::fmt::Result {
-        write!(f, "mask(")?;
-        expr.child(0).fmt_sql(f)?;
-        write!(f, ", ")?;
-        expr.child(1).fmt_sql(f)?;
-        write!(f, ")")
-    }
-
     fn return_dtype(&self, _options: &Self::Options, arg_dtypes: &[DType]) -> VortexResult<DType> {
         vortex_ensure!(
             arg_dtypes[1] == DType::Bool(Nullability::NonNullable),
diff --git a/vortex-array/src/scalar_fn/fns/merge.rs b/vortex-array/src/scalar_fn/fns/merge.rs
index 01445eb6c54..01775705140 100644
--- a/vortex-array/src/scalar_fn/fns/merge.rs
+++ b/vortex-array/src/scalar_fn/fns/merge.rs
@@ -84,22 +84,6 @@ impl ScalarFnVTable for Merge {
         ChildName::from(Arc::from(format!("{}", child_idx)))
     }
 
-    fn fmt_sql(
-        &self,
-        _options: &Self::Options,
-        expr: &Expression,
-        f: &mut Formatter<'_>,
-    ) -> std::fmt::Result {
-        write!(f, "merge(")?;
-        for (i, child) in expr.children().iter().enumerate() {
-            child.fmt_sql(f)?;
-            if i + 1 < expr.children().len() {
-                write!(f, ", ")?;
-            }
-        }
-        write!(f, ")")
-    }
-
     fn return_dtype(&self, options: &Self::Options, arg_dtypes: &[DType]) -> VortexResult<DType> {
         let mut field_names = Vec::new();
         let mut arrays = Vec::new();
@@ -540,10 +524,13 @@ mod tests {
     #[test]
     pub fn test_display() {
         let expr = merge([get_item("struct1", root()), get_item("struct2", root())]);
-        assert_eq!(expr.to_string(), "merge($.struct1, $.struct2)");
+        assert_eq!(
+            expr.to_string(),
+            "vortex.merge($.struct1, $.struct2, opts=Error)"
+        );
 
         let expr2 = merge(vec![get_item("a", root())]);
-        assert_eq!(expr2.to_string(), "merge($.a)");
+        assert_eq!(expr2.to_string(), "vortex.merge($.a, opts=Error)");
     }
 
     #[test]
diff --git a/vortex-array/src/scalar_fn/fns/not/mod.rs b/vortex-array/src/scalar_fn/fns/not/mod.rs
index c70c8794fe6..d7706f20c23 100644
--- a/vortex-array/src/scalar_fn/fns/not/mod.rs
+++ b/vortex-array/src/scalar_fn/fns/not/mod.rs
@@ -3,8 +3,6 @@
 
 mod kernel;
 
-use std::fmt::Formatter;
-
 pub use kernel::*;
 use vortex_error::VortexResult;
 use vortex_error::vortex_bail;
@@ -19,7 +17,6 @@ use crate::arrays::ConstantArray;
 use crate::arrays::bool::BoolArrayExt;
 use crate::builtins::ArrayBuiltins;
 use crate::dtype::DType;
-use crate::expr::Expression;
 use crate::scalar::Scalar;
 use crate::scalar_fn::Arity;
 use crate::scalar_fn::ChildName;
@@ -62,17 +59,6 @@ impl ScalarFnVTable for Not {
         }
     }
 
-    fn fmt_sql(
-        &self,
-        _options: &Self::Options,
-        expr: &Expression,
-        f: &mut Formatter<'_>,
-    ) -> std::fmt::Result {
-        write!(f, "not(")?;
-        expr.child(0).fmt_sql(f)?;
-        write!(f, ")")
-    }
-
     fn return_dtype(&self, _options: &Self::Options, arg_dtypes: &[DType]) -> VortexResult<DType> {
         let child_dtype = &arg_dtypes[0];
         if !matches!(child_dtype, DType::Bool(_)) {
@@ -155,8 +141,8 @@ mod tests {
         let a = not(get_item("a", root()));
         let b = get_item("a", not(root()));
         assert_ne!(a.to_string(), b.to_string());
-        assert_eq!(a.to_string(), "not($.a)");
-        assert_eq!(b.to_string(), "not($).a");
+        assert_eq!(a.to_string(), "vortex.not($.a)");
+        assert_eq!(b.to_string(), "vortex.not($).a");
     }
 
     #[test]
diff --git a/vortex-array/src/scalar_fn/vtable.rs b/vortex-array/src/scalar_fn/vtable.rs
index c9588e8aa13..c93524717a0 100644
--- a/vortex-array/src/scalar_fn/vtable.rs
+++ b/vortex-array/src/scalar_fn/vtable.rs
@@ -22,6 +22,7 @@ use crate::dtype::DType;
 use crate::expr::Expression;
 use crate::expr::StatsCatalog;
 use crate::expr::stats::Stat;
+use crate::expr::traversal::Node;
 use crate::scalar_fn::ScalarFn;
 use crate::scalar_fn::ScalarFnId;
 use crate::scalar_fn::ScalarFnRef;
@@ -77,7 +78,21 @@ pub trait ScalarFnVTable: 'static + Sized + Clone + Send + Sync {
         options: &Self::Options,
         expr: &Expression,
         f: &mut Formatter<'_>,
-    ) -> fmt::Result;
+    ) -> fmt::Result {
+        write!(f, "{}(", self.id())?;
+        let nchildren = expr.children_count();
+        for (i, child) in expr.children().iter().enumerate() {
+            child.fmt_sql(f)?;
+            if i + 1 < nchildren {
+                write!(f, ", ")?;
+            }
+        }
+        let opts = format!("{}", options);
+        if !opts.is_empty() {
+            write!(f, ", opts={}", opts)?;
+        }
+        write!(f, ")")
+    }
 
     /// Coerce the arguments of this function.
     ///
diff --git a/vortex-tensor/public-api.lock b/vortex-tensor/public-api.lock
index bec8df1cb29..61944bce1ba 100644
--- a/vortex-tensor/public-api.lock
+++ b/vortex-tensor/public-api.lock
@@ -258,8 +258,6 @@ pub fn vortex_tensor::scalar_fns::cosine_similarity::CosineSimilarity::child_nam
 
 pub fn vortex_tensor::scalar_fns::cosine_similarity::CosineSimilarity::execute(&self, _options: &Self::Options, args: &dyn vortex_array::scalar_fn::vtable::ExecutionArgs, ctx: &mut vortex_array::executor::ExecutionCtx) -> vortex_error::VortexResult<vortex_array::array::erased::ArrayRef>
 
-pub fn vortex_tensor::scalar_fns::cosine_similarity::CosineSimilarity::fmt_sql(&self, _options: &Self::Options, expr: &vortex_array::expr::expression::Expression, f: &mut core::fmt::Formatter<'_>) -> core::fmt::Result
-
 pub fn vortex_tensor::scalar_fns::cosine_similarity::CosineSimilarity::id(&self) -> vortex_array::scalar_fn::ScalarFnId
 
 pub fn vortex_tensor::scalar_fns::cosine_similarity::CosineSimilarity::is_fallible(&self, _options: &Self::Options) -> bool
@@ -294,8 +292,6 @@ pub fn vortex_tensor::scalar_fns::inner_product::InnerProduct::child_name(&self,
 
 pub fn vortex_tensor::scalar_fns::inner_product::InnerProduct::execute(&self, _options: &Self::Options, args: &dyn vortex_array::scalar_fn::vtable::ExecutionArgs, ctx: &mut vortex_array::executor::ExecutionCtx) -> vortex_error::VortexResult<vortex_array::array::erased::ArrayRef>
 
-pub fn vortex_tensor::scalar_fns::inner_product::InnerProduct::fmt_sql(&self, _options: &Self::Options, expr: &vortex_array::expr::expression::Expression, f: &mut core::fmt::Formatter<'_>) -> core::fmt::Result
-
 pub fn vortex_tensor::scalar_fns::inner_product::InnerProduct::id(&self) -> vortex_array::scalar_fn::ScalarFnId
 
 pub fn vortex_tensor::scalar_fns::inner_product::InnerProduct::is_fallible(&self, _options: &Self::Options) -> bool
@@ -332,8 +328,6 @@ pub fn vortex_tensor::scalar_fns::l2_denorm::L2Denorm::child_name(&self, _option
 
 pub fn vortex_tensor::scalar_fns::l2_denorm::L2Denorm::execute(&self, _options: &Self::Options, args: &dyn vortex_array::scalar_fn::vtable::ExecutionArgs, ctx: &mut vortex_array::executor::ExecutionCtx) -> vortex_error::VortexResult<vortex_array::array::erased::ArrayRef>
 
-pub fn vortex_tensor::scalar_fns::l2_denorm::L2Denorm::fmt_sql(&self, _options: &Self::Options, expr: &vortex_array::expr::expression::Expression, f: &mut core::fmt::Formatter<'_>) -> core::fmt::Result
-
 pub fn vortex_tensor::scalar_fns::l2_denorm::L2Denorm::id(&self) -> vortex_array::scalar_fn::ScalarFnId
 
 pub fn vortex_tensor::scalar_fns::l2_denorm::L2Denorm::is_fallible(&self, _options: &Self::Options) -> bool
@@ -372,8 +366,6 @@ pub fn vortex_tensor::scalar_fns::l2_norm::L2Norm::child_name(&self, _options: &
 
 pub fn vortex_tensor::scalar_fns::l2_norm::L2Norm::execute(&self, _options: &Self::Options, args: &dyn vortex_array::scalar_fn::vtable::ExecutionArgs, ctx: &mut vortex_array::executor::ExecutionCtx) -> vortex_error::VortexResult<vortex_array::array::erased::ArrayRef>
 
-pub fn vortex_tensor::scalar_fns::l2_norm::L2Norm::fmt_sql(&self, _options: &Self::Options, expr: &vortex_array::expr::expression::Expression, f: &mut core::fmt::Formatter<'_>) -> core::fmt::Result
-
 pub fn vortex_tensor::scalar_fns::l2_norm::L2Norm::id(&self) -> vortex_array::scalar_fn::ScalarFnId
 
 pub fn vortex_tensor::scalar_fns::l2_norm::L2Norm::is_fallible(&self, _options: &Self::Options) -> bool
@@ -454,8 +446,6 @@ pub fn vortex_tensor::scalar_fns::sorf_transform::SorfTransform::child_name(&sel
 
 pub fn vortex_tensor::scalar_fns::sorf_transform::SorfTransform::execute(&self, options: &Self::Options, args: &dyn vortex_array::scalar_fn::vtable::ExecutionArgs, ctx: &mut vortex_array::executor::ExecutionCtx) -> vortex_error::VortexResult<vortex_array::array::erased::ArrayRef>
 
-pub fn vortex_tensor::scalar_fns::sorf_transform::SorfTransform::fmt_sql(&self, _options: &Self::Options, expr: &vortex_array::expr::expression::Expression, f: &mut core::fmt::Formatter<'_>) -> core::fmt::Result
-
 pub fn vortex_tensor::scalar_fns::sorf_transform::SorfTransform::id(&self) -> vortex_array::scalar_fn::ScalarFnId
 
 pub fn vortex_tensor::scalar_fns::sorf_transform::SorfTransform::is_fallible(&self, _options: &Self::Options) -> bool
diff --git a/vortex-tensor/src/scalar_fns/cosine_similarity.rs b/vortex-tensor/src/scalar_fns/cosine_similarity.rs
index f4f129c2b27..45fc33989cc 100644
--- a/vortex-tensor/src/scalar_fns/cosine_similarity.rs
+++ b/vortex-tensor/src/scalar_fns/cosine_similarity.rs
@@ -3,8 +3,6 @@
 
 //! Cosine similarity expression for tensor-like types.
 
-use std::fmt::Formatter;
-
 use num_traits::Zero;
 use vortex_array::ArrayRef;
 use vortex_array::ExecutionCtx;
@@ -92,19 +90,6 @@ impl ScalarFnVTable for CosineSimilarity {
         }
     }
 
-    fn fmt_sql(
-        &self,
-        _options: &Self::Options,
-        expr: &Expression,
-        f: &mut Formatter<'_>,
-    ) -> std::fmt::Result {
-        write!(f, "cosine_similarity(")?;
-        expr.child(0).fmt_sql(f)?;
-        write!(f, ", ")?;
-        expr.child(1).fmt_sql(f)?;
-        write!(f, ")")
-    }
-
     fn return_dtype(&self, _options: &Self::Options, arg_dtypes: &[DType]) -> VortexResult<DType> {
         let lhs = &arg_dtypes[0];
         let rhs = &arg_dtypes[1];
diff --git a/vortex-tensor/src/scalar_fns/inner_product.rs b/vortex-tensor/src/scalar_fns/inner_product.rs
index 71288c241ae..e1947a35f42 100644
--- a/vortex-tensor/src/scalar_fns/inner_product.rs
+++ b/vortex-tensor/src/scalar_fns/inner_product.rs
@@ -3,8 +3,6 @@
 
 //! Inner product expression for tensor-like types.
 
-use std::fmt::Formatter;
-
 use num_traits::Float;
 use vortex_array::ArrayRef;
 use vortex_array::ExecutionCtx;
@@ -89,19 +87,6 @@ impl ScalarFnVTable for InnerProduct {
         }
     }
 
-    fn fmt_sql(
-        &self,
-        _options: &Self::Options,
-        expr: &Expression,
-        f: &mut Formatter<'_>,
-    ) -> std::fmt::Result {
-        write!(f, "inner_product(")?;
-        expr.child(0).fmt_sql(f)?;
-        write!(f, ", ")?;
-        expr.child(1).fmt_sql(f)?;
-        write!(f, ")")
-    }
-
     fn return_dtype(&self, _options: &Self::Options, arg_dtypes: &[DType]) -> VortexResult<DType> {
         let lhs = &arg_dtypes[0];
         let rhs = &arg_dtypes[1];
diff --git a/vortex-tensor/src/scalar_fns/l2_denorm.rs b/vortex-tensor/src/scalar_fns/l2_denorm.rs
index d72940c8da8..7004faee345 100644
--- a/vortex-tensor/src/scalar_fns/l2_denorm.rs
+++ b/vortex-tensor/src/scalar_fns/l2_denorm.rs
@@ -3,8 +3,6 @@
 
 //! L2 denormalization expression for tensor-like types.
 
-use std::fmt::Formatter;
-
 use num_traits::ToPrimitive;
 use num_traits::Zero;
 use vortex_array::ArrayRef;
@@ -144,19 +142,6 @@ impl ScalarFnVTable for L2Denorm {
         }
     }
 
-    fn fmt_sql(
-        &self,
-        _options: &Self::Options,
-        expr: &Expression,
-        f: &mut Formatter<'_>,
-    ) -> std::fmt::Result {
-        write!(f, "l2_denorm(")?;
-        expr.child(0).fmt_sql(f)?;
-        write!(f, ", ")?;
-        expr.child(1).fmt_sql(f)?;
-        write!(f, ")")
-    }
-
     fn return_dtype(&self, _options: &Self::Options, arg_dtypes: &[DType]) -> VortexResult<DType> {
         let normalized = &arg_dtypes[0];
         let norms = &arg_dtypes[1];
diff --git a/vortex-tensor/src/scalar_fns/l2_norm.rs b/vortex-tensor/src/scalar_fns/l2_norm.rs
index 170ac800d10..5d88ddd824d 100644
--- a/vortex-tensor/src/scalar_fns/l2_norm.rs
+++ b/vortex-tensor/src/scalar_fns/l2_norm.rs
@@ -3,8 +3,6 @@
 
 //! L2 norm expression for tensor-like types.
 
-use std::fmt::Formatter;
-
 use num_traits::Float;
 use vortex_array::ArrayRef;
 use vortex_array::ExecutionCtx;
@@ -86,17 +84,6 @@ impl ScalarFnVTable for L2Norm {
         }
     }
 
-    fn fmt_sql(
-        &self,
-        _options: &Self::Options,
-        expr: &Expression,
-        f: &mut Formatter<'_>,
-    ) -> std::fmt::Result {
-        write!(f, "l2_norm(")?;
-        expr.child(0).fmt_sql(f)?;
-        write!(f, ")")
-    }
-
     fn return_dtype(&self, _options: &Self::Options, arg_dtypes: &[DType]) -> VortexResult<DType> {
         let input_dtype = &arg_dtypes[0];
         let tensor_match = validate_tensor_float_input(input_dtype)?;
diff --git a/vortex-tensor/src/scalar_fns/sorf_transform/vtable.rs b/vortex-tensor/src/scalar_fns/sorf_transform/vtable.rs
index 69ae671bc85..6280d5bd0a0 100644
--- a/vortex-tensor/src/scalar_fns/sorf_transform/vtable.rs
+++ b/vortex-tensor/src/scalar_fns/sorf_transform/vtable.rs
@@ -3,8 +3,6 @@
 
 //! [`ScalarFnVTable`] implementation for [`SorfTransform`].
 
-use std::fmt;
-use std::fmt::Formatter;
 use std::sync::Arc;
 
 use num_traits::Float;
@@ -62,17 +60,6 @@ impl ScalarFnVTable for SorfTransform {
         }
     }
 
-    fn fmt_sql(
-        &self,
-        _options: &Self::Options,
-        expr: &Expression,
-        f: &mut Formatter<'_>,
-    ) -> fmt::Result {
-        write!(f, "sorf_transform(")?;
-        expr.child(0).fmt_sql(f)?;
-        write!(f, ")")
-    }
-
     fn return_dtype(&self, options: &Self::Options, arg_dtypes: &[DType]) -> VortexResult<DType> {
         validate_sorf_options(options)?;