diff --git a/intern/cycles/kernel/svm/svm_mix.h b/intern/cycles/kernel/svm/svm_mix.h
index 0eeb4cf9b05..4e834b7c500 100644
--- a/intern/cycles/kernel/svm/svm_mix.h
+++ b/intern/cycles/kernel/svm/svm_mix.h
@@ -247,24 +247,7 @@ ccl_device float3 svm_mix_soft(float t, float3 col1, float3 col2)
 
 ccl_device float3 svm_mix_linear(float t, float3 col1, float3 col2)
 {
-	float3 outcol = col1;
-
-	if(col2.x > 0.5f)
-		outcol.x = col1.x + t*(2.0f*(col2.x - 0.5f));
-	else
-		outcol.x = col1.x + t*(2.0f*(col2.x) - 1.0f);
-
-	if(col2.y > 0.5f)
-		outcol.y = col1.y + t*(2.0f*(col2.y - 0.5f));
-	else
-		outcol.y = col1.y + t*(2.0f*(col2.y) - 1.0f);
-
-	if(col2.z > 0.5f)
-		outcol.z = col1.z + t*(2.0f*(col2.z - 0.5f));
-	else
-		outcol.z = col1.z + t*(2.0f*(col2.z) - 1.0f);
-	
-	return outcol;
+	return col1 + t*(2.0f*col2 + make_float3(-1.0f, -1.0f, -1.0f));
 }
 
 ccl_device float3 svm_mix_clamp(float3 col)
diff --git a/intern/cycles/util/util_math.h b/intern/cycles/util/util_math.h
index f35129c4178..2e73639d2bb 100644
--- a/intern/cycles/util/util_math.h
+++ b/intern/cycles/util/util_math.h
@@ -904,7 +904,7 @@ ccl_device_inline void print_float4(const char *label, const float4& a)
 
 ccl_device_inline int3 min(int3 a, int3 b)
 {
-#ifdef __KERNEL_SSE__
+#if defined(__KERNEL_SSE__) && defined(__KERNEL_SSE41__)
 	return _mm_min_epi32(a.m128, b.m128);
 #else
 	return make_int3(min(a.x, b.x), min(a.y, b.y), min(a.z, b.z));
@@ -913,7 +913,7 @@ ccl_device_inline int3 min(int3 a, int3 b)
 
 ccl_device_inline int3 max(int3 a, int3 b)
 {
-#ifdef __KERNEL_SSE__
+#if defined(__KERNEL_SSE__) && defined(__KERNEL_SSE41__)
 	return _mm_max_epi32(a.m128, b.m128);
 #else
 	return make_int3(max(a.x, b.x), max(a.y, b.y), max(a.z, b.z));
@@ -978,7 +978,7 @@ ccl_device_inline int4 operator>>(const int4& a, int i)
 
 ccl_device_inline int4 min(int4 a, int4 b)
 {
-#ifdef __KERNEL_SSE__
+#if defined(__KERNEL_SSE__) && defined(__KERNEL_SSE41__)
 	return _mm_min_epi32(a.m128, b.m128);
 #else
 	return make_int4(min(a.x, b.x), min(a.y, b.y), min(a.z, b.z), min(a.w, b.w));
@@ -987,7 +987,7 @@ ccl_device_inline int4 min(int4 a, int4 b)
 
 ccl_device_inline int4 max(int4 a, int4 b)
 {
-#ifdef __KERNEL_SSE__
+#if defined(__KERNEL_SSE__) && defined(__KERNEL_SSE41__)
 	return _mm_max_epi32(a.m128, b.m128);
 #else
 	return make_int4(max(a.x, b.x), max(a.y, b.y), max(a.z, b.z), max(a.w, b.w));
@@ -1192,26 +1192,20 @@ ccl_device_inline float safe_sqrtf(float f)
 
 ccl_device float safe_asinf(float a)
 {
-	if(a <= -1.0f)
-		return -M_PI_2_F;
-	else if(a >= 1.0f)
-		return M_PI_2_F;
-
-	return asinf(a);
+	return asinf(clamp(a, -1.0f, 1.0f));
 }
 
 ccl_device float safe_acosf(float a)
 {
-	if(a <= -1.0f)
-		return M_PI_F;
-	else if(a >= 1.0f)
-		return 0.0f;
-
-	return acosf(a);
+	return acosf(clamp(a, -1.0f, 1.0f));
 }
 
 ccl_device float compatible_powf(float x, float y)
 {
+#ifdef __KERNEL_GPU__
+	if(y == 0.0f) /* x^0 -> 1, including 0^0 */
+		return 1.0f;
+
 	/* GPU pow doesn't accept negative x, do manual checks here */
 	if(x < 0.0f) {
 		if(fmodf(-y, 2.0f) == 0.0f)
@@ -1221,19 +1215,15 @@ ccl_device float compatible_powf(float x, float y)
 	}
 	else if(x == 0.0f)
 		return 0.0f;
-
+#endif
 	return powf(x, y);
 }
 
 ccl_device float safe_powf(float a, float b)
 {
-	if(b == 0.0f)
-		return 1.0f;
-	if(a == 0.0f)
-		return 0.0f;
 	if(a < 0.0f && b != float_to_int(b))
 		return 0.0f;
-	
+
 	return compatible_powf(a, b);
 }