Change 8bit optimizer blocksize 2048->256; additional bf16 support (#…

…1365)

* Change 8bit optimizer blocksize 2048->256; additional bf16 support
* Update tolerances for 8bit optimizer tests

bitsandbytes/functional.py

@@ -52,6 +52,7 @@ def prod(iterable):
         "lamb": (
             lib.cadam32bit_grad_fp32,
             lib.cadam32bit_grad_fp16,
+            lib.cadam32bit_grad_bf16,
         ),
         "ademamix": (
             lib.cademamix32bit_grad_fp32,
@@ -96,10 +97,12 @@ def prod(iterable):
         "momentum": (
             lib.cmomentum_8bit_blockwise_grad_fp32,
             lib.cmomentum_8bit_blockwise_grad_fp16,
+            lib.cmomentum_8bit_blockwise_grad_bf16,
         ),
         "rmsprop": (
             lib.crmsprop_8bit_blockwise_grad_fp32,
             lib.crmsprop_8bit_blockwise_grad_fp16,
+            lib.crmsprop_8bit_blockwise_grad_bf16,
         ),
         "lion": (
             lib.clion_8bit_blockwise_grad_fp32,
@@ -109,6 +112,7 @@ def prod(iterable):
         "adagrad": (
             lib.cadagrad_8bit_blockwise_grad_fp32,
             lib.cadagrad_8bit_blockwise_grad_fp16,
+            lib.cadagrad_8bit_blockwise_grad_bf16,
         ),
         "ademamix": (
             lib.cademamix_8bit_blockwise_grad_fp32,
@@ -398,7 +402,7 @@ def create_dynamic_map(signed=True, max_exponent_bits=7, total_bits=8):
         data.append(0)
 
     data.sort()
-    return Tensor(data)
+    return torch.tensor(data)
 
 
 def create_quantile_map(A, total_bits=8):

bitsandbytes/optim/ademamix.py

@@ -166,7 +166,7 @@ def init_state(self, group, p, gindex, pindex):
             self.name2qmap["udynamic"] = state["qmap2"] = self.name2qmap["udynamic"].to(p.device)
 
             n = p.numel()
-            blocks = (n // 2048) + bool(n % 2048)
+            blocks = (n // 256) + bool(n % 256)
 
             state["absmax1"] = torch.zeros((2, blocks), dtype=torch.float32, device=p.device)
             state["absmax2"] = torch.zeros((blocks,), dtype=torch.float32, device=p.device)

bitsandbytes/optim/optimizer.py

@@ -477,8 +477,8 @@ def init_state(self, group, p, gindex, pindex):
 
             if config["block_wise"]:
                 n = p.numel()
-                blocks = n // 2048
-                blocks += 1 if n % 2048 > 0 else 0
+                blocks = n // 256
+                blocks += 1 if n % 256 > 0 else 0
 
                 state["absmax1"] = torch.zeros((blocks,), dtype=torch.float32, device=p.device)
                 state["absmax2"] = torch.zeros((blocks,), dtype=torch.float32, device=p.device)
@@ -699,8 +699,8 @@ def init_state(self, group, p, gindex, pindex):
 
             if config["block_wise"]:
                 n = p.numel()
-                blocks = n // 2048
-                blocks += 1 if n % 2048 > 0 else 0
+                blocks = n // 256
+                blocks += 1 if n % 256 > 0 else 0
 
                 state["absmax1"] = torch.zeros((blocks,), dtype=torch.float32, device=p.device)
             else:

csrc/kernels.cu

@@ -3829,27 +3829,33 @@ template __global__ void kPreconditionOptimizer32bit1State<gtype, oname, 4096, 8
 
 MAKE_PreconditionOptimizer32bit1State(MOMENTUM, half)
 MAKE_PreconditionOptimizer32bit1State(MOMENTUM, float)
+MAKE_PreconditionOptimizer32bit1State(MOMENTUM, __nv_bfloat16)
 MAKE_PreconditionOptimizer32bit1State(RMSPROP, half)
 MAKE_PreconditionOptimizer32bit1State(RMSPROP, float)
+MAKE_PreconditionOptimizer32bit1State(RMSPROP, __nv_bfloat16)
 MAKE_PreconditionOptimizer32bit1State(LION, half)
 MAKE_PreconditionOptimizer32bit1State(LION, float)
 MAKE_PreconditionOptimizer32bit1State(LION, __nv_bfloat16)
 MAKE_PreconditionOptimizer32bit1State(ADAGRAD, half)
 MAKE_PreconditionOptimizer32bit1State(ADAGRAD, float)
+MAKE_PreconditionOptimizer32bit1State(ADAGRAD, __nv_bfloat16)
 
 #define MAKE_Optimizer32bit1State(oname, gtype) \
 template __global__ void kOptimizer32bit1State<gtype, oname>(gtype* g, gtype* p, float* state1, float *unorm, const float max_unorm, const float param_norm, \
     const float beta1, const float beta2, const float eps, const float weight_decay,const int step, const float lr, const float gnorm_scale, const bool skip_zeros, const int n); \
 
 MAKE_Optimizer32bit1State(MOMENTUM, half)
 MAKE_Optimizer32bit1State(MOMENTUM, float)
+MAKE_Optimizer32bit1State(MOMENTUM, __nv_bfloat16)
 MAKE_Optimizer32bit1State(RMSPROP, half)
 MAKE_Optimizer32bit1State(RMSPROP, float)
+MAKE_Optimizer32bit1State(RMSPROP, __nv_bfloat16)
 MAKE_Optimizer32bit1State(LION, half)
 MAKE_Optimizer32bit1State(LION, float)
 MAKE_Optimizer32bit1State(LION, __nv_bfloat16)
 MAKE_Optimizer32bit1State(ADAGRAD, half)
 MAKE_Optimizer32bit1State(ADAGRAD, float)
+MAKE_Optimizer32bit1State(ADAGRAD, __nv_bfloat16)
 
 #define MAKE_PreconditionOptimizer32bit2State(oname, gtype) \
 template __global__ void kPreconditionOptimizer32bit2State<gtype, oname, 4096, 8>(gtype* g, gtype* p,  \
@@ -3950,6 +3956,8 @@ MAKE_optimizerStatic8bit2State(ADAM, float)
 
 template __global__ void kPercentileClipping<float, 2048, 4>(float * __restrict__ g, float *gnorm_vec, int step, const int n);
 template __global__ void kPercentileClipping<half, 2048, 4>(half * __restrict__ g, float *gnorm_vec, int step, const int n);
+// template __global__ void kPercentileClipping<float, 128, 4>(float * __restrict__ g, float *gnorm_vec, int step, const int n);
+// template __global__ void kPercentileClipping<half, 128, 4>(half * __restrict__ g, float *gnorm_vec, int step, const int n);
 
 #define MAKE_kQuantizeBlockwise(dtype, blocksize, num_per_thread, stochastic, data_type_name) \
 template __global__ void kQuantizeBlockwise<dtype, blocksize, num_per_thread, stochastic, data_type_name>(float * code, dtype * __restrict__ const A, float *absmax, unsigned char *out, float * __restrict__ const rand, const int rand_offset, const int n); \
@@ -4041,13 +4049,12 @@ template __global__ void kOptimizerStatic8bit2StateBlockwise<gtype, oname, block
                 float weight_decay, \
                 const float gnorm_scale, const bool skip_zeros, const int n); \
 
-MAKE_OptimizerStatic8bit2StateBlockwise(ADAM, float, 2048, 8)
-MAKE_OptimizerStatic8bit2StateBlockwise(ADAM, half, 2048, 8)
-MAKE_OptimizerStatic8bit2StateBlockwise(ADAM, __nv_bfloat16, 2048, 8)
-MAKE_OptimizerStatic8bit2StateBlockwise(ADEMAMIX, float, 2048, 8)
-MAKE_OptimizerStatic8bit2StateBlockwise(ADEMAMIX, half, 2048, 8)
-MAKE_OptimizerStatic8bit2StateBlockwise(ADEMAMIX, __nv_bfloat16, 2048, 8)
-
+MAKE_OptimizerStatic8bit2StateBlockwise(ADAM, float, 256, 1)
+MAKE_OptimizerStatic8bit2StateBlockwise(ADAM, half, 256, 1)
+MAKE_OptimizerStatic8bit2StateBlockwise(ADAM, __nv_bfloat16, 256, 1)
+MAKE_OptimizerStatic8bit2StateBlockwise(ADEMAMIX, float, 256, 1)
+MAKE_OptimizerStatic8bit2StateBlockwise(ADEMAMIX, half, 256, 1)
+MAKE_OptimizerStatic8bit2StateBlockwise(ADEMAMIX, __nv_bfloat16, 256, 1)
 
 #define MAKE_OptimizerStatic8bit1StateBlockwise(oname, gtype, block_size, num_per_thread) \
 template __global__ void kOptimizerStatic8bit1StateBlockwise<gtype, oname, block_size, num_per_thread>( \
@@ -4059,15 +4066,18 @@ template __global__ void kOptimizerStatic8bit1StateBlockwise<gtype, oname, block
                 float weight_decay, \
                 const float gnorm_scale, const bool skip_zeros, const int n); \
 
-MAKE_OptimizerStatic8bit1StateBlockwise(MOMENTUM, float, 2048, 8)
-MAKE_OptimizerStatic8bit1StateBlockwise(MOMENTUM, half, 2048, 8)
-MAKE_OptimizerStatic8bit1StateBlockwise(RMSPROP, float, 2048, 8)
-MAKE_OptimizerStatic8bit1StateBlockwise(RMSPROP, half, 2048, 8)
-MAKE_OptimizerStatic8bit1StateBlockwise(LION, float, 2048, 8)
-MAKE_OptimizerStatic8bit1StateBlockwise(LION, half, 2048, 8)
-MAKE_OptimizerStatic8bit1StateBlockwise(LION, __nv_bfloat16, 2048, 8)
-MAKE_OptimizerStatic8bit1StateBlockwise(ADAGRAD, float, 2048, 8)
-MAKE_OptimizerStatic8bit1StateBlockwise(ADAGRAD, half, 2048, 8)
+MAKE_OptimizerStatic8bit1StateBlockwise(MOMENTUM, float, 256, 1)
+MAKE_OptimizerStatic8bit1StateBlockwise(MOMENTUM, half, 256, 1)
+MAKE_OptimizerStatic8bit1StateBlockwise(MOMENTUM, __nv_bfloat16, 256, 1)
+MAKE_OptimizerStatic8bit1StateBlockwise(RMSPROP, float, 256, 1)
+MAKE_OptimizerStatic8bit1StateBlockwise(RMSPROP, half, 256, 1)
+MAKE_OptimizerStatic8bit1StateBlockwise(RMSPROP, __nv_bfloat16, 256, 1)
+MAKE_OptimizerStatic8bit1StateBlockwise(LION, float, 256, 1)
+MAKE_OptimizerStatic8bit1StateBlockwise(LION, half, 256, 1)
+MAKE_OptimizerStatic8bit1StateBlockwise(LION, __nv_bfloat16, 256, 1)
+MAKE_OptimizerStatic8bit1StateBlockwise(ADAGRAD, float, 256, 1)
+MAKE_OptimizerStatic8bit1StateBlockwise(ADAGRAD, half, 256, 1)
+MAKE_OptimizerStatic8bit1StateBlockwise(ADAGRAD, __nv_bfloat16, 256, 1)
 
 template __device__ void printnonzero<float>(float *A, int num_values, const char*strval);
 template __device__ void printnonzero<half>(half *A, int num_values, const char*strval);

csrc/ops.cu

@@ -191,10 +191,10 @@ template<typename T, int OPTIMIZER> void optimizerStatic8bit(T* p, T* g,
 	}
 }
 
-#define BLOCKSIZE_2STATE 2048
-#define NUM_2STATE 8
-#define BLOCKSIZE_1STATE 2048
-#define NUM_1STATE 8
+#define BLOCKSIZE_2STATE 256
+#define NUM_2STATE 1
+#define BLOCKSIZE_1STATE 256
+#define NUM_1STATE 1
 
 template<typename T, int OPTIMIZER> void optimizerStatic8bitBlockwise(
     T* p,
@@ -818,13 +818,16 @@ MAKE_optimizer32bit(ADAM, float)
 MAKE_optimizer32bit(ADAM, __nv_bfloat16)
 MAKE_optimizer32bit(MOMENTUM, half)
 MAKE_optimizer32bit(MOMENTUM, float)
+MAKE_optimizer32bit(MOMENTUM, __nv_bfloat16)
 MAKE_optimizer32bit(RMSPROP, half)
 MAKE_optimizer32bit(RMSPROP, float)
+MAKE_optimizer32bit(RMSPROP, __nv_bfloat16)
 MAKE_optimizer32bit(LION, half)
 MAKE_optimizer32bit(LION, float)
 MAKE_optimizer32bit(LION, __nv_bfloat16)
 MAKE_optimizer32bit(ADAGRAD, half)
 MAKE_optimizer32bit(ADAGRAD, float)
+MAKE_optimizer32bit(ADAGRAD, __nv_bfloat16)
 MAKE_optimizer32bit(ADEMAMIX, half)
 MAKE_optimizer32bit(ADEMAMIX, __nv_bfloat16)
 MAKE_optimizer32bit(ADEMAMIX, float)
@@ -861,13 +864,16 @@ MAKE_optimizerStatic8bitBlockwise(float, ADAM);
 MAKE_optimizerStatic8bitBlockwise(__nv_bfloat16, ADAM);
 MAKE_optimizerStatic8bitBlockwise(half, MOMENTUM);
 MAKE_optimizerStatic8bitBlockwise(float, MOMENTUM);
+MAKE_optimizerStatic8bitBlockwise(__nv_bfloat16, MOMENTUM);
 MAKE_optimizerStatic8bitBlockwise(half, RMSPROP);
 MAKE_optimizerStatic8bitBlockwise(float, RMSPROP);
+MAKE_optimizerStatic8bitBlockwise(__nv_bfloat16, RMSPROP);
 MAKE_optimizerStatic8bitBlockwise(half, LION);
 MAKE_optimizerStatic8bitBlockwise(float, LION);
 MAKE_optimizerStatic8bitBlockwise(__nv_bfloat16, LION);
 MAKE_optimizerStatic8bitBlockwise(half, ADAGRAD);
 MAKE_optimizerStatic8bitBlockwise(float, ADAGRAD);
+MAKE_optimizerStatic8bitBlockwise(__nv_bfloat16, ADAGRAD);
 MAKE_optimizerStatic8bitBlockwise(half, ADEMAMIX);
 MAKE_optimizerStatic8bitBlockwise(__nv_bfloat16, ADEMAMIX);
 MAKE_optimizerStatic8bitBlockwise(float, ADEMAMIX);

csrc/pythonInterface.cpp

@@ -103,19 +103,22 @@ void fname##_8bit_blockwise_grad_##gbits(gtype* p, gtype* g, \
 {	optimizerStatic8bitBlockwise<gtype, optim_name>(p, g, state1, state2, beta1, beta2, beta3, alpha, eps, step, lr, quantiles1, quantiles2, absmax1, absmax2, weight_decay, gnorm_scale, skip_zeros, n); }\
 
 MAKE_BLOCKWISE8(adam, ADAM, half, fp16)
+MAKE_BLOCKWISE8(adam, ADAM, __nv_bfloat16, bf16)
 MAKE_BLOCKWISE8(adam, ADAM, float, fp32)
 MAKE_BLOCKWISE8(momentum, MOMENTUM, half, fp16)
+MAKE_BLOCKWISE8(momentum, MOMENTUM, __nv_bfloat16, bf16)
 MAKE_BLOCKWISE8(momentum, MOMENTUM, float, fp32)
 MAKE_BLOCKWISE8(rmsprop, RMSPROP, half, fp16)
+MAKE_BLOCKWISE8(rmsprop, RMSPROP, __nv_bfloat16, bf16)
 MAKE_BLOCKWISE8(rmsprop, RMSPROP, float, fp32)
 MAKE_BLOCKWISE8(adagrad, ADAGRAD, half, fp16)
+MAKE_BLOCKWISE8(adagrad, ADAGRAD, __nv_bfloat16, bf16)
 MAKE_BLOCKWISE8(adagrad, ADAGRAD, float, fp32)
-MAKE_BLOCKWISE8(adam, ADAM, __nv_bfloat16, bf16)
 MAKE_BLOCKWISE8(lion, LION, half, fp16)
-MAKE_BLOCKWISE8(lion, LION, float, fp32)
 MAKE_BLOCKWISE8(lion, LION, __nv_bfloat16, bf16)
-MAKE_BLOCKWISE8(ademamix, ADEMAMIX, __nv_bfloat16, bf16)
+MAKE_BLOCKWISE8(lion, LION, float, fp32)
 MAKE_BLOCKWISE8(ademamix, ADEMAMIX, half, fp16)
+MAKE_BLOCKWISE8(ademamix, ADEMAMIX, __nv_bfloat16, bf16)
 MAKE_BLOCKWISE8(ademamix, ADEMAMIX, float, fp32)
 
 
@@ -283,13 +286,16 @@ extern "C"
 
 	MAKE_CBLOCKWISE8(adam, ADAM, half, fp16)
 	MAKE_CBLOCKWISE8(adam, ADAM, float, fp32)
+	MAKE_CBLOCKWISE8(adam, ADAM, __nv_bfloat16, bf16)
 	MAKE_CBLOCKWISE8(momentum, MOMENTUM, half, fp16)
 	MAKE_CBLOCKWISE8(momentum, MOMENTUM, float, fp32)
+	MAKE_CBLOCKWISE8(momentum, MOMENTUM, __nv_bfloat16, bf16)
 	MAKE_CBLOCKWISE8(rmsprop, RMSPROP, half, fp16)
 	MAKE_CBLOCKWISE8(rmsprop, RMSPROP, float, fp32)
+	MAKE_CBLOCKWISE8(rmsprop, RMSPROP, __nv_bfloat16, bf16)
 	MAKE_CBLOCKWISE8(adagrad, ADAGRAD, half, fp16)
 	MAKE_CBLOCKWISE8(adagrad, ADAGRAD, float, fp32)
-	MAKE_CBLOCKWISE8(adam, ADAM, __nv_bfloat16, bf16)
+	MAKE_CBLOCKWISE8(adagrad, ADAGRAD, __nv_bfloat16, bf16)
 	MAKE_CBLOCKWISE8(lion, LION, half, fp16)
 	MAKE_CBLOCKWISE8(lion, LION, float, fp32)
 	MAKE_CBLOCKWISE8(lion, LION, __nv_bfloat16, bf16)

tests/test_optim.py

@@ -74,10 +74,18 @@ def rm_path(path):
     lambda pxx: bnb.optim.ademamix._ReferenceAdEMAMix(pxx, t_alpha=k, t_beta3=k),
     lambda pxx: bnb.optim.AdEMAMix(pxx, t_alpha=k, t_beta3=k),
 )
+str2optimizers["paged_ademamix_scheduled"] = (
+    lambda pxx: bnb.optim.ademamix._ReferenceAdEMAMix(pxx, t_alpha=k, t_beta3=k),
+    lambda pxx: bnb.optim.PagedAdEMAMix(pxx, t_alpha=k, t_beta3=k),
+)
 str2optimizers["ademamix8bit_blockwise_scheduled"] = (
     lambda pxx: bnb.optim.ademamix._ReferenceAdEMAMix(pxx, t_alpha=100, t_beta3=100),
     lambda pxx: bnb.optim.AdEMAMix8bit(pxx, t_alpha=100, t_beta3=100),
 )
+str2optimizers["paged_ademamix8bit_blockwise_scheduled"] = (
+    lambda pxx: bnb.optim.ademamix._ReferenceAdEMAMix(pxx, t_alpha=100, t_beta3=100),
+    lambda pxx: bnb.optim.PagedAdEMAMix8bit(pxx, t_alpha=100, t_beta3=100),
+)
 
 str2optimizers["lion"] = (Lion, bnb.optim.Lion)
 str2optimizers["lion8bit"] = (Lion, lambda pxx: bnb.optim.Lion8bit(pxx, block_wise=False))
@@ -143,7 +151,7 @@ def rm_path(path):
 str2statenames["paged_lion8bit_blockwise"] = [("exp_avg", "state1", "qmap1", "absmax1")]
 
 str2statenames["ademamix"] = str2statenames["ademamix_scheduled"] = [("m1_m2", "state1"), ("nu", "state2")]
-str2statenames["paged_ademamix"] = [("m1_m2", "state1"), ("nu", "state2")]
+str2statenames["paged_ademamix"] = str2statenames["paged_ademamix_scheduled"] = [("m1_m2", "state1"), ("nu", "state2")]
 str2statenames["ademamix8bit_blockwise"] = str2statenames["ademamix8bit_blockwise_scheduled"] = [
     ("m1_m2", "state1", "qmap1", "absmax1"),
     ("nu", "state2", "qmap2", "absmax2"),
@@ -164,6 +172,7 @@ def rm_path(path):
     "ademamix",
     "ademamix_scheduled",
     "paged_ademamix",
+    "paged_ademamix_scheduled",
 ]
 
 
@@ -309,18 +318,15 @@ def test_global_config(dim1, dim2, gtype):
 def test_optimizer8bit(dim1, dim2, gtype, optim_name):
     torch.set_printoptions(precision=6)
 
-    if gtype == torch.bfloat16 and optim_name not in [
-        "adam8bit_blockwise",
-        "lion8bit_blockwise",
-        "ademamix8bit_blockwise",
-    ]:
+    if gtype == torch.bfloat16 and "blockwise" not in optim_name:
         pytest.skip()
+
     if dim1 == 1 and dim2 == 1:
         return
     p1 = torch.randn(dim1, dim2, device="cuda", dtype=gtype) * 0.1
     p2 = p1.clone()
     p1 = p1.float()
-    blocksize = 2048
+    blocksize = 256
 
     torch_optimizer = str2optimizers[optim_name][0]([p1])
     bnb_optimizer = str2optimizers[optim_name][1]([p2])
@@ -347,8 +353,7 @@ def test_optimizer8bit(dim1, dim2, gtype, optim_name):
         torch_optimizer.step()
 
         # since Lion can have pretty noisy updates where things lie at the boundary
-        # and AdEMAMix can diverge as well, allow up to 0.05% errors.
-        assert_most_approx_close(p1, p2.float(), patol, prtol, max_error_count=int(p1.numel() * 5e-4))
+        assert_most_approx_close(p1, p2.float(), patol, prtol, max_error_count=0)
 
         dequant_states = []
         for name1, name2, qmap, max_val in str2statenames[optim_name]:
@@ -392,11 +397,11 @@ def test_optimizer8bit(dim1, dim2, gtype, optim_name):
         err = torch.abs(p1 - p2)
         relerr = err / (torch.abs(p1) + 1e-9)
         if g.dtype == torch.bfloat16:
-            assert err.mean() < 0.00015
-            assert relerr.mean() < 0.0020  # 0.0016
+            assert err.mean() <= 0.00017
+            assert relerr.mean() <= 0.0016
         else:
-            assert err.mean() < 0.00016  # 0.00012
-            assert relerr.mean() < 0.0016  # 0.0012
+            assert err.mean() < 0.00006
+            assert relerr.mean() < 0.0006
 
         errors.append(err.mean().item())
         relerrors.append(relerr.mean().item())
@@ -454,9 +459,9 @@ def test_optimizer8bit(dim1, dim2, gtype, optim_name):
 
                 num_not_close = torch.isclose(torch_optimizer.state[p1][name1], s1, atol=atol, rtol=rtol) == 0
                 assert num_not_close.sum().item() < 20
-            # since Lion can have pretty noisy updates where things lie at the boundary
-            # and AdEMAMix can also be noisy, allow up to 0.05%.
-            assert_most_approx_close(p1, p2.float(), patol, prtol, max_error_count=int(p1.numel() * 5e-04))
+
+            # Lion can have pretty noisy updates where things lie at the boundary
+            assert_most_approx_close(p1, p2.float(), patol, prtol, max_error_count=0)
 
         # the parameters diverge quickly. Here we keep them close
         # together so we can test against the Adam error
@@ -560,15 +565,19 @@ def test_adam_percentile_clipping(dim1, dim2, gtype, optim_bits):
 optimizer_names_benchmark = [
     "adam8bit_blockwise",
     "paged_adam8bit_blockwise",
-    "paged_adamw8bit_blockwise",
+    "ademamix8bit_blockwise",
+    "paged_ademamix8bit_blockwise",
+    "ademamix8bit_blockwise_scheduled",
+    "paged_ademamix8bit_blockwise_scheduled",
+    "lion8bit_blockwise",
     "paged_lion8bit_blockwise",
     "paged_ademamix8bit_blockwise",
 ]
 
 
 @pytest.mark.parametrize("dim1", [4096], ids=id_formatter("dim1"))
 @pytest.mark.parametrize("dim2", [4096], ids=id_formatter("dim2"))
-@pytest.mark.parametrize("gtype", [torch.float32, torch.float16], ids=describe_dtype)
+@pytest.mark.parametrize("gtype", [torch.float32, torch.bfloat16, torch.float16], ids=describe_dtype)
 @pytest.mark.parametrize("optim_name", optimizer_names_benchmark, ids=id_formatter("opt"))
 @pytest.mark.benchmark
 def test_benchmark_blockwise(dim1, dim2, gtype, optim_name):
@@ -580,8 +589,9 @@ def test_benchmark_blockwise(dim1, dim2, gtype, optim_name):
 
     g = torch.randn(dim1, dim2, device="cuda", dtype=gtype) * 0.01
     p1.grad = g
-    for i in range(k):
-        if i == k // 5:
+    total_steps = 500
+    for i in range(total_steps):
+        if i == total_steps // 5:
             # 100 iterations for burn-in
             torch.cuda.synchronize()
             t0 = time.time()
@@ -591,8 +601,8 @@ def test_benchmark_blockwise(dim1, dim2, gtype, optim_name):
     torch.cuda.synchronize()
     s = time.time() - t0
     print("")
-    params = (k - k // 5) * dim1 * dim2
-    print(optim_name, gtype, s / params)
+    params = (total_steps - total_steps // 5) * dim1 * dim2
+    print(optim_name, gtype, s, params, s / params)
     # assert s < 3.9