diff --git a/candle-core/benches/bench_main.rs b/candle-core/benches/bench_main.rs
index 92c33a8675..4e508a3941 100644
--- a/candle-core/benches/bench_main.rs
+++ b/candle-core/benches/bench_main.rs
@@ -1,4 +1,4 @@
 mod benchmarks;
 
 use criterion::criterion_main;
-criterion_main!(benchmarks::matmul::benches, benchmarks::where_cond::benches);
+criterion_main!(benchmarks::matmul::benches, benchmarks::affine::benches, benchmarks::where_cond::benches);
\ No newline at end of file
diff --git a/candle-core/benches/benchmarks/affine.rs b/candle-core/benches/benchmarks/affine.rs
new file mode 100644
index 0000000000..eded9f5787
--- /dev/null
+++ b/candle-core/benches/benchmarks/affine.rs
@@ -0,0 +1,43 @@
+use crate::benchmarks::{BenchDevice, BenchDeviceHandler};
+use candle_core::{DType, Device, Tensor};
+use criterion::{black_box, criterion_group, Criterion, Throughput};
+use std::time::Instant;
+
+fn run(a: &Tensor) {
+    a.affine(12.34, 56.78).unwrap();
+}
+
+fn run_affine_benchmark(c: &mut Criterion, device: &Device, dtype: DType, name: &str) {
+    let b = 1;
+    let m = 1024;
+    let k = 1024;
+
+    let tensor = Tensor::zeros((b, m, k), dtype, &device).unwrap();
+
+    let flops = b * m * k * dtype.size_in_bytes();
+
+    let mut group = c.benchmark_group(device.bench_name(name));
+    group.throughput(Throughput::Bytes(flops as u64));
+    group.bench_function("iter", move |b| {
+        b.iter_custom(|iters| {
+            let start = Instant::now();
+            for _i in 0..iters {
+                run(black_box(&tensor));
+            }
+            device.sync().unwrap();
+            start.elapsed()
+        })
+    });
+    group.finish();
+}
+
+fn criterion_benchmark(c: &mut Criterion) {
+    let handler = BenchDeviceHandler::new().unwrap();
+    for device in handler.devices {
+        run_affine_benchmark(c, &device, DType::F32, "affine_f32");
+        run_affine_benchmark(c, &device, DType::F16, "affine_f16");
+        run_affine_benchmark(c, &device, DType::BF16, "affine_bf16");
+    }
+}
+
+criterion_group!(benches, criterion_benchmark);
diff --git a/candle-core/benches/benchmarks/mod.rs b/candle-core/benches/benchmarks/mod.rs
index 4e73ebb67c..7dacff5e36 100644
--- a/candle-core/benches/benchmarks/mod.rs
+++ b/candle-core/benches/benchmarks/mod.rs
@@ -1,3 +1,4 @@
+pub(crate) mod affine;
 pub(crate) mod matmul;
 pub(crate) mod where_cond;
 
diff --git a/candle-core/src/metal_backend.rs b/candle-core/src/metal_backend.rs
index 38f909c859..5269a89960 100644
--- a/candle-core/src/metal_backend.rs
+++ b/candle-core/src/metal_backend.rs
@@ -353,6 +353,7 @@ impl BackendStorage for MetalStorage {
             let name = match self.dtype {
                 DType::F32 => "affine_f32",
                 DType::F16 => "affine_f16",
+                DType::BF16 => "affine_bf16",
                 dtype => crate::bail!("Metal contiguous affine {dtype:?} not implemented"),
             };
             candle_metal_kernels::call_affine(
@@ -371,6 +372,7 @@ impl BackendStorage for MetalStorage {
             let name = match self.dtype {
                 DType::F32 => "affine_f32_strided",
                 DType::F16 => "affine_f16_strided",
+                DType::BF16 => "affine_bf16_strided",
                 dtype => crate::bail!("Metal strided affine {dtype:?} not implemented"),
             };
             candle_metal_kernels::call_affine_strided(
diff --git a/candle-metal-kernels/src/affine.metal b/candle-metal-kernels/src/affine.metal
index 3d8e7f0da3..a4484998c5 100644
--- a/candle-metal-kernels/src/affine.metal
+++ b/candle-metal-kernels/src/affine.metal
@@ -17,19 +17,19 @@ METAL_FUNC uint get_strided_index(
 
 using namespace metal;
 
-#define AFFINE(FN_NAME, TYPENAME) \
+#define AFFINE(FN_NAME, T) \
 kernel void FN_NAME( \
     constant size_t &dim, \
     constant float &mul, \
     constant float &add, \
-    device const TYPENAME *input,  \
-    device TYPENAME *output, \
+    device const T *input,  \
+    device T *output, \
     uint id [[ thread_position_in_grid ]] \
 ) { \
     if (id >= dim) { \
         return; \
     } \
-    output[id] = TYPENAME(float(input[id]) * mul + add); \
+    output[id] = T(fma(float(input[id]), mul, add)); \
 } \
 kernel void FN_NAME##_strided( \
     constant size_t &dim, \
@@ -38,14 +38,14 @@ kernel void FN_NAME##_strided( \
     constant size_t *strides, \
     constant float &mul, \
     constant float &add, \
-    device const TYPENAME *input,  \
-    device TYPENAME *output, \
+    device const T *input,  \
+    device T *output, \
     uint id [[ thread_position_in_grid ]] \
 ) { \
     if (id >= dim) { \
         return; \
     } \
-    output[id] = TYPENAME(float(input[get_strided_index(id, num_dims, dims, strides)]) * mul + add); \
+    output[id] = T(fma(float(input[get_strided_index(id, num_dims, dims, strides)]), mul, add)); \
 }
 
 #define POWF(FN_NAME, TYPENAME) \