diff --git a/Cargo.lock b/Cargo.lock
index ebf5f9d75b68c..53292d00da9a5 100644
--- a/Cargo.lock
+++ b/Cargo.lock
@@ -10634,6 +10634,7 @@ version = "1.11.0-alpha"
 dependencies = [
  "anyhow",
  "arrow-array 50.0.0",
+ "arrow-array 52.0.0",
  "arrow-schema 50.0.0",
  "assert_matches",
  "async-recursion",
@@ -10785,7 +10786,9 @@ dependencies = [
  "ahash 0.8.11",
  "anyhow",
  "arc-swap",
+ "arrow-array 48.0.1",
  "arrow-array 50.0.0",
+ "arrow-array 52.0.0",
  "arrow-buffer 48.0.1",
  "arrow-buffer 50.0.0",
  "arrow-buffer 52.0.0",
@@ -11093,6 +11096,7 @@ dependencies = [
  "anyhow",
  "apache-avro 0.16.0",
  "arrow-array 50.0.0",
+ "arrow-array 52.0.0",
  "arrow-row 50.0.0",
  "arrow-schema 50.0.0",
  "arrow-schema 52.0.0",
@@ -11412,7 +11416,6 @@ dependencies = [
  "icelake",
  "itertools 0.12.1",
  "jsonbb",
- "lazy_static",
  "linkme",
  "madsim-tokio",
  "md5",
diff --git a/src/batch/Cargo.toml b/src/batch/Cargo.toml
index 2ca8ed1be4e77..ef4badfe07666 100644
--- a/src/batch/Cargo.toml
+++ b/src/batch/Cargo.toml
@@ -16,6 +16,7 @@ normal = ["workspace-hack"]
 [dependencies]
 anyhow = "1"
 arrow-array = { workspace = true }
+arrow-array-iceberg = { workspace = true }
 arrow-schema = { workspace = true }
 assert_matches = "1"
 async-recursion = "1"
diff --git a/src/common/Cargo.toml b/src/common/Cargo.toml
index ba295b56f02ca..ae6f67faf3aac 100644
--- a/src/common/Cargo.toml
+++ b/src/common/Cargo.toml
@@ -18,6 +18,8 @@ ahash = "0.8"
 anyhow = "1"
 arc-swap = "1"
 arrow-array = { workspace = true }
+arrow-array-deltalake = { workspace = true }
+arrow-array-iceberg = { workspace = true }
 arrow-buffer = { workspace = true }
 arrow-buffer-deltalake = { workspace = true }
 arrow-buffer-iceberg = { workspace = true }
diff --git a/src/connector/Cargo.toml b/src/connector/Cargo.toml
index 257b930556c94..3d8bf618eca58 100644
--- a/src/connector/Cargo.toml
+++ b/src/connector/Cargo.toml
@@ -17,6 +17,7 @@ normal = ["workspace-hack"]
 anyhow = "1"
 apache-avro = { workspace = true }
 arrow-array = { workspace = true }
+arrow-array-iceberg = { workspace = true }
 arrow-row = { workspace = true }
 arrow-schema = { workspace = true }
 arrow-schema-iceberg = { workspace = true }
diff --git a/src/expr/impl/Cargo.toml b/src/expr/impl/Cargo.toml
index 8e7cb36dc27fc..0f69c91e34162 100644
--- a/src/expr/impl/Cargo.toml
+++ b/src/expr/impl/Cargo.toml
@@ -50,7 +50,6 @@ hex = "0.4"
 icelake = { workspace = true }
 itertools = { workspace = true }
 jsonbb = { workspace = true }
-lazy_static = "1.5.0"
 linkme = { version = "0.3", features = ["used_linker"] }
 md5 = "0.7"
 moka = { version = "0.12", features = ["sync"] }
diff --git a/src/expr/impl/src/scalar/trigonometric.rs b/src/expr/impl/src/scalar/trigonometric.rs
index f5ea625d7d2f3..b00078dc3bd5a 100644
--- a/src/expr/impl/src/scalar/trigonometric.rs
+++ b/src/expr/impl/src/scalar/trigonometric.rs
@@ -12,9 +12,6 @@
 // See the License for the specific language governing permissions and
 // limitations under the License.
 
-use std::f64::consts::PI;
-
-use lazy_static::lazy_static;
 use risingwave_common::types::F64;
 use risingwave_expr::function;
 
@@ -98,73 +95,33 @@ pub fn atanh_f64(input: F64) -> F64 {
     f64::atanh(input.0).into()
 }
 
+// Radians per degree, a.k.a. PI / 180
+static RADIANS_PER_DEGREE: f64 = 0.017_453_292_519_943_295;
 // Constants we use to get more accurate results.
+// TODO: use lazy_static
 // Depend on the machine and have to be evaluated at runtime
 // See PSQL: https://github.com/postgres/postgres/blob/78ec02d612a9b69039ec2610740f738968fe144d/src/backend/utils/adt/float.c#L2024
-fn sind_30() -> f64 {
-    lazy_static! {
-        static ref SIND_30: f64 = f64::sin(30.0 * radians_per_degree());
-    }
-    *SIND_30
-}
-
-fn one_minus_cosd_60() -> f64 {
-    lazy_static! {
-        static ref ONE_MINUS_COSD_60: f64 = 1.0 - f64::cos(60.0 * radians_per_degree());
-    }
-    *ONE_MINUS_COSD_60
-}
-
-fn tand_45() -> f64 {
-    lazy_static! {
-        static ref TAND_45: f64 = f64::tan(45.0 * radians_per_degree());
-    }
-    *TAND_45
-}
-
-fn cotd_45() -> f64 {
-    lazy_static! {
-        static ref COTD_45: f64 =
-            f64::cos(45.0 * radians_per_degree()) / f64::sin(45.0 * radians_per_degree());
-    }
-    *COTD_45
-}
-
-fn asin_0_5() -> f64 {
-    lazy_static! {
-        static ref ASIN_0_5: f64 = f64::asin(0.5);
-    }
-    *ASIN_0_5
-}
-
-fn acos_0_5() -> f64 {
-    lazy_static! {
-        static ref ACOS_0_5: f64 = f64::acos(0.5);
-    }
-    *ACOS_0_5
-}
-
-fn radians_per_degree() -> f64 {
-    lazy_static! {
-        static ref RADIANS_PER_DEGREE: f64 = PI / 180.0;
-    }
-    *RADIANS_PER_DEGREE
-}
+static SIND_30: f64 = 0.499_999_999_999_999_94;
+static ONE_MINUS_COSD_60: f64 = 0.499_999_999_999_999_9;
+static TAND_45: f64 = 1.0;
+static COTD_45: f64 = 1.0;
+static ASIN_0_5: f64 = 0.523_598_775_598_298_8;
+static ACOS_0_5: f64 = 1.047_197_551_196_597_6;
 
 // returns the cosine of an angle that lies between 0 and 60 degrees. This will return exactly 1
 // when xi s 0, and exactly 0.5 when x is 60 degrees.
 fn cosd_0_to_60(x: f64) -> f64 {
     // https://github.com/postgres/postgres/blob/REL_15_2/src/backend/utils/adt/float.c
-    let one_minus_cos_x: f64 = 1.0 - f64::cos(x * radians_per_degree());
-    1.0 - (one_minus_cos_x / one_minus_cosd_60()) / 2.0
+    let one_minus_cos_x: f64 = 1.0 - f64::cos(x * RADIANS_PER_DEGREE);
+    1.0 - (one_minus_cos_x / ONE_MINUS_COSD_60) / 2.0
 }
 
 // returns the sine of an angle that lies between 0 and 30 degrees. This will return exactly 0 when
 // x is 0, and exactly 0.5 when x is 30 degrees.
 fn sind_0_to_30(x: f64) -> f64 {
     // https://github.com/postgres/postgres/blob/REL_15_2/src/backend/utils/adt/float.c
-    let sin_x = f64::sin(x * radians_per_degree());
-    (sin_x / sind_30()) / 2.0
+    let sin_x = f64::sin(x * RADIANS_PER_DEGREE);
+    (sin_x / SIND_30) / 2.0
 }
 
 // returns the cosine of an angle in the first quadrant (0 to 90 degrees).
@@ -302,7 +259,7 @@ pub fn cotd_f64(input: F64) -> F64 {
     }
 
     let cot_arg1 = cosd_q1(arg1) / sind_q1(arg1);
-    let result = sign * (cot_arg1 / cotd_45());
+    let result = sign * (cot_arg1 / COTD_45);
 
     // On some machines we get cotd(270) = minus zero, but this isn't always
     // true. For portability, and because the user constituency for this
@@ -342,7 +299,7 @@ pub fn tand_f64(input: F64) -> F64 {
     }
 
     let tan_arg1 = sind_q1(arg1) / cosd_q1(arg1);
-    let result = sign * (tan_arg1 / tand_45());
+    let result = sign * (tan_arg1 / TAND_45);
 
     // On some machines we get tand(180) = minus zero, but this isn't always true. For portability,
     // and because the user constituency for this function probably doesn't want minus zero, force
@@ -361,11 +318,11 @@ pub fn asind_q1(x: f64) -> f64 {
     // monotonic functionover the full range.
     if x <= 0.5 {
         let asin_x = f64::asin(x);
-        return (asin_x / asin_0_5()) * 30.0;
+        return (asin_x / ASIN_0_5) * 30.0;
     }
 
     let acos_x = f64::acos(x);
-    90.0 - (acos_x / acos_0_5()) * 60.0
+    90.0 - (acos_x / ACOS_0_5) * 60.0
 }
 
 #[function("asind(float8) -> float8")]
@@ -403,10 +360,10 @@ fn acosd_q1(x: f64) -> f64 {
     // monotonic function over the full range.
     if x <= 0.5 {
         let asin_x = f64::asin(x);
-        return 90.0 - (asin_x / asin_0_5()) * 30.0;
+        return 90.0 - (asin_x / ASIN_0_5) * 30.0;
     }
     let acos_x = f64::acos(x);
-    (acos_x / acos_0_5()) * 60.0
+    (acos_x / ACOS_0_5) * 60.0
 }
 
 #[function("acosd(float8) -> float8")]