diff --git a/README.md b/README.md
index 5bb5fda..70009e2 100644
--- a/README.md
+++ b/README.md
@@ -43,7 +43,7 @@ __m256 mm256_acos_ps(__m256 a);
 // max error : 1.192092896e-07
 __m256 mm256_asin_ps(__m256 a);
 
-// max error : 6.699562073e-05
+// max error : 1.192092896e-07
 __m256 mm256_atan_ps(__m256 a);
 
 // max error : 2.384185791e-07
@@ -83,7 +83,7 @@ float32x4_t vacosq_f32(float32x4_t a);
 // max error : 1.192092896e-07
 float32x4_t vasinq_f32(float32x4_t a);
 
-// max error : 6.699562073e-05
+// max error : 1.192092896e-07
 float32x4_t vatanq_f32(float32x4_t a);
 
 // max error : 2.384185791e-07
@@ -107,13 +107,17 @@ float32x4_t vcbrtq_f32(float32x4_t a);
 
 # fast functions 
 
-If you use the macro \_\_MATH_INTRINSINCS_FAST\_\_ some functions will have less precision but better performances (2.5-4x):
+If you use the macro \_\_MATH_INTRINSINCS_FAST\_\_ some functions will have less precision but better performances:
 
 * sin, max_error : 2.682209015e-07
 * cos, max_error : 5.811452866e-07
 * acos, max_error : 6.520748138e-05
 * asin, max_error : 6.520736497e-05
+* atan, max_error : 7.289648056e-05
+* atan2, max_error : 8.535385132e-05
 * exp2, max_error : 2.317290893e-07
+* cbrt, max_error : 9.659048374e-05
+
 
 # references