diff --git a/lib/msun/src/e_logf.c b/lib/msun/src/e_logf.c
index 4e7142b18d29..b47b77becfb2 100644
--- a/lib/msun/src/e_logf.c
+++ b/lib/msun/src/e_logf.c
@@ -24,13 +24,11 @@ static const float
 ln2_hi =   6.9313812256e-01,	/* 0x3f317180 */
 ln2_lo =   9.0580006145e-06,	/* 0x3717f7d1 */
 two25 =    3.355443200e+07,	/* 0x4c000000 */
-Lg1 = 6.6666668653e-01,	/* 3F2AAAAB */
-Lg2 = 4.0000000596e-01,	/* 3ECCCCCD */
-Lg3 = 2.8571429849e-01, /* 3E924925 */
-Lg4 = 2.2222198546e-01, /* 3E638E29 */
-Lg5 = 1.8183572590e-01, /* 3E3A3325 */
-Lg6 = 1.5313838422e-01, /* 3E1CD04F */
-Lg7 = 1.4798198640e-01; /* 3E178897 */
+/* |(log(1+s)-log(1-s))/s - Lg(s)| < 2**-34.24 (~[-4.95e-11, 4.97e-11]). */
+Lg1 =      0xaaaaaa.0p-24,	/* 0.66666662693 */
+Lg2 =      0xccce13.0p-25,	/* 0.40000972152 */
+Lg3 =      0x91e9ee.0p-25,	/* 0.28498786688 */
+Lg4 =      0xf89e26.0p-26;	/* 0.24279078841 */
 
 static const float zero   =  0.0;
 
@@ -70,8 +68,8 @@ __ieee754_logf(float x)
 	i = ix-(0x6147a<<3);
 	w = z*z;
 	j = (0x6b851<<3)-ix;
-	t1= w*(Lg2+w*(Lg4+w*Lg6));
-	t2= z*(Lg1+w*(Lg3+w*(Lg5+w*Lg7)));
+	t1= w*(Lg2+w*Lg4);
+	t2= z*(Lg1+w*Lg3);
 	i |= j;
 	R = t2+t1;
 	if(i>0) {