math: Use erff from CORE-MATH

The CORE-MATH implementation is correctly rounded (for any rounding mode)
and shows better performance to the generic erff.

The code was adapted to glibc style and to use the definition of
math_config.h.

Benchtest on x64_64 (Ryzen 9 5900X, gcc 14.2.1), aarch64 (M1,
gcc 13.2.1), and powerpc (POWER10, gcc 13.2.1):

latency                       master       patched  improvement
x86_64                       85.7363       45.1372       47.35%
x86_64v2                     86.6337       38.5816       55.47%
x86_64v3                     71.3810       34.0843       52.25%
i686                         190.143       97.5014       48.72%
aarch64                      34.9091       14.9320       57.23%
power10                      38.6160        8.5188       77.94%
powerpc                      39.7446       8.45781       78.72%

reciprocal-throughput         master       patched  improvement
x86_64                       35.1739       14.7603       58.04%
x86_64v2                     34.5976       11.2283       67.55%
x86_64v3                     27.3260        9.8550       63.94%
i686                         91.0282       30.8840       66.07%
aarch64                      22.5831        6.9615       69.17%
power10                      18.0386        3.0918       82.86%
powerpc                      20.7277       3.63396       82.47%

Signed-off-by: Alexei Sibidanov <sibid@uvic.ca>
Signed-off-by: Paul Zimmermann <Paul.Zimmermann@inria.fr>
Signed-off-by: Adhemerval Zanella <adhemerval.zanella@linaro.org>
Reviewed-by: DJ Delorie <dj@redhat.com>

28 files changed, 251 insertions, 235 deletions

diff --git a/SHARED-FILES b/SHARED-FILES
index d367f4b..ccc5179 100644
--- a/SHARED-FILES
+++ b/SHARED-FILES
@@ -272,3 +272,7 @@ sysdeps/ieee754/flt-32/s_cbrtf.c
   (file src/binary32/cbrt/cbrtf.c in CORE-MATH)
   - The code was adapted to use glibc code style and internal
     functions to handle errno, overflow, and underflow.
+sysdeps/ieee754/flt-32/s_erff.c
+  (file src/binary32/erf/erff.c in CORE-MATH)
+  - The code was adapted to use glibc code style and internal
+    functions to handle errno, overflow, and underflow.
diff --git a/sysdeps/aarch64/libm-test-ulps b/sysdeps/aarch64/libm-test-ulps
index 4979769..fc10f7f 100644
--- a/sysdeps/aarch64/libm-test-ulps
+++ b/sysdeps/aarch64/libm-test-ulps
@@ -991,7 +991,6 @@ ldouble: 5
 
 Function: "erf":
 double: 1
-float: 1
 ldouble: 1
 
 Function: "erf_advsimd":
diff --git a/sysdeps/alpha/fpu/libm-test-ulps b/sysdeps/alpha/fpu/libm-test-ulps
index a2b5404..bbb3a5c 100644
--- a/sysdeps/alpha/fpu/libm-test-ulps
+++ b/sysdeps/alpha/fpu/libm-test-ulps
@@ -909,22 +909,18 @@ ldouble: 5
 
 Function: "erf":
 double: 1
-float: 1
 ldouble: 1
 
 Function: "erf_downward":
 double: 1
-float: 1
 ldouble: 2
 
 Function: "erf_towardzero":
 double: 1
-float: 1
 ldouble: 1
 
 Function: "erf_upward":
 double: 1
-float: 1
 ldouble: 2
 
 Function: "erfc":
diff --git a/sysdeps/arc/fpu/libm-test-ulps b/sysdeps/arc/fpu/libm-test-ulps
index c6f3646..9e422da 100644
--- a/sysdeps/arc/fpu/libm-test-ulps
+++ b/sysdeps/arc/fpu/libm-test-ulps
@@ -733,19 +733,15 @@ float: 6
 
 Function: "erf":
 double: 1
-float: 1
 
 Function: "erf_downward":
 double: 1
-float: 1
 
 Function: "erf_towardzero":
 double: 1
-float: 2
 
 Function: "erf_upward":
 double: 2
-float: 2
 
 Function: "erfc":
 double: 5
diff --git a/sysdeps/arc/nofpu/libm-test-ulps b/sysdeps/arc/nofpu/libm-test-ulps
index 6319012..2c24fdf 100644
--- a/sysdeps/arc/nofpu/libm-test-ulps
+++ b/sysdeps/arc/nofpu/libm-test-ulps
@@ -177,7 +177,6 @@ float: 2
 
 Function: "erf":
 double: 1
-float: 1
 
 Function: "erfc":
 double: 5
diff --git a/sysdeps/arm/libm-test-ulps b/sysdeps/arm/libm-test-ulps
index d931704..153cd1f 100644
--- a/sysdeps/arm/libm-test-ulps
+++ b/sysdeps/arm/libm-test-ulps
@@ -726,19 +726,15 @@ float: 3
 
 Function: "erf":
 double: 1
-float: 1
 
 Function: "erf_downward":
 double: 1
-float: 1
 
 Function: "erf_towardzero":
 double: 1
-float: 1
 
 Function: "erf_upward":
 double: 1
-float: 1
 
 Function: "erfc":
 double: 5
diff --git a/sysdeps/csky/fpu/libm-test-ulps b/sysdeps/csky/fpu/libm-test-ulps
index c3a3db9..d276db2 100644
--- a/sysdeps/csky/fpu/libm-test-ulps
+++ b/sysdeps/csky/fpu/libm-test-ulps
@@ -719,19 +719,15 @@ float: 3
 
 Function: "erf":
 double: 1
-float: 1
 
 Function: "erf_downward":
 double: 1
-float: 1
 
 Function: "erf_towardzero":
 double: 1
-float: 1
 
 Function: "erf_upward":
 double: 1
-float: 1
 
 Function: "erfc":
 double: 5
diff --git a/sysdeps/csky/nofpu/libm-test-ulps b/sysdeps/csky/nofpu/libm-test-ulps
index 68a74bf..ea08fd5 100644
--- a/sysdeps/csky/nofpu/libm-test-ulps
+++ b/sysdeps/csky/nofpu/libm-test-ulps
@@ -717,19 +717,15 @@ float: 3
 
 Function: "erf":
 double: 1
-float: 1
 
 Function: "erf_downward":
 double: 1
-float: 1
 
 Function: "erf_towardzero":
 double: 1
-float: 1
 
 Function: "erf_upward":
 double: 1
-float: 1
 
 Function: "erfc":
 double: 5
diff --git a/sysdeps/hppa/fpu/libm-test-ulps b/sysdeps/hppa/fpu/libm-test-ulps
index a3e6629..a16f86a 100644
--- a/sysdeps/hppa/fpu/libm-test-ulps
+++ b/sysdeps/hppa/fpu/libm-test-ulps
@@ -742,20 +742,16 @@ float: 3
 
 Function: "erf":
 double: 1
-float: 1
 ldouble: 1
 
 Function: "erf_downward":
 double: 1
-float: 1
 
 Function: "erf_towardzero":
 double: 1
-float: 1
 
 Function: "erf_upward":
 double: 1
-float: 1
 
 Function: "erfc":
 double: 5
diff --git a/sysdeps/i386/fpu/libm-test-ulps b/sysdeps/i386/fpu/libm-test-ulps
index a77ded2..041c180 100644
--- a/sysdeps/i386/fpu/libm-test-ulps
+++ b/sysdeps/i386/fpu/libm-test-ulps
@@ -1078,25 +1078,21 @@ ldouble: 3
 
 Function: "erf":
 double: 1
-float: 1
 float128: 1
 ldouble: 1
 
 Function: "erf_downward":
 double: 1
-float: 1
 float128: 2
 ldouble: 1
 
 Function: "erf_towardzero":
 double: 1
-float: 1
 float128: 1
 ldouble: 1
 
 Function: "erf_upward":
 double: 1
-float: 1
 float128: 2
 ldouble: 1
 
diff --git a/sysdeps/i386/i686/fpu/multiarch/libm-test-ulps b/sysdeps/i386/i686/fpu/multiarch/libm-test-ulps
index a9cd01b..e3ee0c6 100644
--- a/sysdeps/i386/i686/fpu/multiarch/libm-test-ulps
+++ b/sysdeps/i386/i686/fpu/multiarch/libm-test-ulps
@@ -1081,25 +1081,21 @@ ldouble: 3
 
 Function: "erf":
 double: 1
-float: 1
 float128: 1
 ldouble: 1
 
 Function: "erf_downward":
 double: 1
-float: 1
 float128: 2
 ldouble: 1
 
 Function: "erf_towardzero":
 double: 1
-float: 1
 float128: 1
 ldouble: 1
 
 Function: "erf_upward":
 double: 1
-float: 1
 float128: 2
 ldouble: 1
 
diff --git a/sysdeps/ieee754/flt-32/s_erff.c b/sysdeps/ieee754/flt-32/s_erff.c
index 61e2555..025c207 100644
--- a/sysdeps/ieee754/flt-32/s_erff.c
+++ b/sysdeps/ieee754/flt-32/s_erff.c
@@ -1,154 +1,256 @@
-/* s_erff.c -- float version of s_erf.c.
- */
+/* Correctly-rounded error function for binary32 value.
 
-/*
- * ====================================================
- * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
- *
- * Developed at SunPro, a Sun Microsystems, Inc. business.
- * Permission to use, copy, modify, and distribute this
- * software is freely granted, provided that this notice
- * is preserved.
- * ====================================================
- */
+Copyright (c) 2022-2024 Alexei Sibidanov.
 
-#if defined(LIBM_SCCS) && !defined(lint)
-static char rcsid[] = "$NetBSD: s_erff.c,v 1.4 1995/05/10 20:47:07 jtc Exp $";
-#endif
+This file is part of the CORE-MATH project
+project (file src/binary32/erf/erff.c revision bc385c2).
+
+Permission is hereby granted, free of charge, to any person obtaining a copy
+of this software and associated documentation files (the "Software"), to deal
+in the Software without restriction, including without limitation the rights
+to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
+copies of the Software, and to permit persons to whom the Software is
+furnished to do so, subject to the following conditions:
+
+The above copyright notice and this permission notice shall be included in all
+copies or substantial portions of the Software.
+
+THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
+SOFTWARE.
+*/
 
-#include <errno.h>
-#include <float.h>
 #include <math.h>
-#include <math-narrow-eval.h>
-#include <math_private.h>
-#include <math-underflow.h>
+#include <stdint.h>
 #include <libm-alias-float.h>
-#include <fix-int-fp-convert-zero.h>
+#include "math_config.h"
 
-static const float
-tiny	    = 1e-30,
-one =  1.0000000000e+00, /* 0x3F800000 */
-erx =  8.4506291151e-01, /* 0x3f58560b */
-/*
- * Coefficients for approximation to  erf on [0,0.84375]
- */
-efx =  1.2837916613e-01, /* 0x3e0375d4 */
-pp0  =  1.2837916613e-01, /* 0x3e0375d4 */
-pp1  = -3.2504209876e-01, /* 0xbea66beb */
-pp2  = -2.8481749818e-02, /* 0xbce9528f */
-pp3  = -5.7702702470e-03, /* 0xbbbd1489 */
-pp4  = -2.3763017452e-05, /* 0xb7c756b1 */
-qq1  =  3.9791721106e-01, /* 0x3ecbbbce */
-qq2  =  6.5022252500e-02, /* 0x3d852a63 */
-qq3  =  5.0813062117e-03, /* 0x3ba68116 */
-qq4  =  1.3249473704e-04, /* 0x390aee49 */
-qq5  = -3.9602282413e-06, /* 0xb684e21a */
-/*
- * Coefficients for approximation to  erf  in [0.84375,1.25]
- */
-pa0  = -2.3621185683e-03, /* 0xbb1acdc6 */
-pa1  =  4.1485610604e-01, /* 0x3ed46805 */
-pa2  = -3.7220788002e-01, /* 0xbebe9208 */
-pa3  =  3.1834661961e-01, /* 0x3ea2fe54 */
-pa4  = -1.1089469492e-01, /* 0xbde31cc2 */
-pa5  =  3.5478305072e-02, /* 0x3d1151b3 */
-pa6  = -2.1663755178e-03, /* 0xbb0df9c0 */
-qa1  =  1.0642088205e-01, /* 0x3dd9f331 */
-qa2  =  5.4039794207e-01, /* 0x3f0a5785 */
-qa3  =  7.1828655899e-02, /* 0x3d931ae7 */
-qa4  =  1.2617121637e-01, /* 0x3e013307 */
-qa5  =  1.3637083583e-02, /* 0x3c5f6e13 */
-qa6  =  1.1984500103e-02, /* 0x3c445aa3 */
-/*
- * Coefficients for approximation to  erfc in [1.25,1/0.35]
- */
-ra0  = -9.8649440333e-03, /* 0xbc21a093 */
-ra1  = -6.9385856390e-01, /* 0xbf31a0b7 */
-ra2  = -1.0558626175e+01, /* 0xc128f022 */
-ra3  = -6.2375331879e+01, /* 0xc2798057 */
-ra4  = -1.6239666748e+02, /* 0xc322658c */
-ra5  = -1.8460508728e+02, /* 0xc3389ae7 */
-ra6  = -8.1287437439e+01, /* 0xc2a2932b */
-ra7  = -9.8143291473e+00, /* 0xc11d077e */
-sa1  =  1.9651271820e+01, /* 0x419d35ce */
-sa2  =  1.3765776062e+02, /* 0x4309a863 */
-sa3  =  4.3456588745e+02, /* 0x43d9486f */
-sa4  =  6.4538726807e+02, /* 0x442158c9 */
-sa5  =  4.2900814819e+02, /* 0x43d6810b */
-sa6  =  1.0863500214e+02, /* 0x42d9451f */
-sa7  =  6.5702495575e+00, /* 0x40d23f7c */
-sa8  = -6.0424413532e-02, /* 0xbd777f97 */
-/*
- * Coefficients for approximation to  erfc in [1/.35,28]
- */
-rb0  = -9.8649431020e-03, /* 0xbc21a092 */
-rb1  = -7.9928326607e-01, /* 0xbf4c9dd4 */
-rb2  = -1.7757955551e+01, /* 0xc18e104b */
-rb3  = -1.6063638306e+02, /* 0xc320a2ea */
-rb4  = -6.3756646729e+02, /* 0xc41f6441 */
-rb5  = -1.0250950928e+03, /* 0xc480230b */
-rb6  = -4.8351919556e+02, /* 0xc3f1c275 */
-sb1  =  3.0338060379e+01, /* 0x41f2b459 */
-sb2  =  3.2579251099e+02, /* 0x43a2e571 */
-sb3  =  1.5367296143e+03, /* 0x44c01759 */
-sb4  =  3.1998581543e+03, /* 0x4547fdbb */
-sb5  =  2.5530502930e+03, /* 0x451f90ce */
-sb6  =  4.7452853394e+02, /* 0x43ed43a7 */
-sb7  = -2.2440952301e+01; /* 0xc1b38712 */
-
-float __erff(float x)
+float
+__erff (float x)
 {
-	int32_t hx,ix,i;
-	float R,S,P,Q,s,y,z,r;
-	GET_FLOAT_WORD(hx,x);
-	ix = hx&0x7fffffff;
-	if(ix>=0x7f800000) {		/* erf(nan)=nan */
-	    i = ((uint32_t)hx>>31)<<1;
-	    return (float)(1-i)+one/x;	/* erf(+-inf)=+-1 */
-	}
-
-	if(ix < 0x3f580000) {		/* |x|<0.84375 */
-	    if(ix < 0x31800000) { 	/* |x|<2**-28 */
-	        if (ix < 0x04000000)
-		  {
-		    /* Avoid spurious underflow.  */
-		    float ret = 0.0625f * (16.0f * x + (16.0f * efx) * x);
-		    math_check_force_underflow (ret);
-		    return ret;
-		  }
-		return x + efx*x;
-	    }
-	    z = x*x;
-	    r = pp0+z*(pp1+z*(pp2+z*(pp3+z*pp4)));
-	    s = one+z*(qq1+z*(qq2+z*(qq3+z*(qq4+z*qq5))));
-	    y = r/s;
-	    return x + x*y;
-	}
-	if(ix < 0x3fa00000) {		/* 0.84375 <= |x| < 1.25 */
-	    s = fabsf(x)-one;
-	    P = pa0+s*(pa1+s*(pa2+s*(pa3+s*(pa4+s*(pa5+s*pa6)))));
-	    Q = one+s*(qa1+s*(qa2+s*(qa3+s*(qa4+s*(qa5+s*qa6)))));
-	    if(hx>=0) return erx + P/Q; else return -erx - P/Q;
-	}
-	if (ix >= 0x40c00000) {		/* inf>|x|>=6 */
-	    if(hx>=0) return one-tiny; else return tiny-one;
-	}
-	x = fabsf(x);
- 	s = one/(x*x);
-	if(ix< 0x4036DB6E) {	/* |x| < 1/0.35 */
-	    R=ra0+s*(ra1+s*(ra2+s*(ra3+s*(ra4+s*(
-				ra5+s*(ra6+s*ra7))))));
-	    S=one+s*(sa1+s*(sa2+s*(sa3+s*(sa4+s*(
-				sa5+s*(sa6+s*(sa7+s*sa8)))))));
-	} else {	/* |x| >= 1/0.35 */
-	    R=rb0+s*(rb1+s*(rb2+s*(rb3+s*(rb4+s*(
-				rb5+s*rb6)))));
-	    S=one+s*(sb1+s*(sb2+s*(sb3+s*(sb4+s*(
-				sb5+s*(sb6+s*sb7))))));
-	}
-	GET_FLOAT_WORD(ix,x);
-	SET_FLOAT_WORD(z,ix&0xfffff000);
-	r  =  __ieee754_expf(-z*z-(float)0.5625)*__ieee754_expf((z-x)*(z+x)+R/S);
-	if(hx>=0) return one-r/x; else return  r/x-one;
+  /* for 7 <= i < 63, C[i-7] is a degree-7 polynomial approximation of
+     erf(i/16+1/32+x) for -1/32 <= x <= 1/32 */
+  static const double C[56][8] = {
+    {  0x1.f86faa9428f9cp-2,   0x1.cfc41e36c7dfap-1,  -0x1.b2c7dc53508b9p-2,
+      -0x1.5a9de93fa556ep-3,   0x1.731793dbb01b5p-3,   0x1.133e06426cf18p-6,
+      -0x1.a12a6289cafd8p-5,   0x1.717d6f1d6f557p-9 },
+    {  0x1.1855a5fd3dd50p-1,   0x1.b3aafcc27502fp-1,  -0x1.cee5ac8e92bb2p-2,
+      -0x1.fa02983ca2d79p-4,   0x1.77cd746cb1922p-3,  -0x1.fa6f277886487p-10,
+      -0x1.8de75458db416p-5,   0x1.00899c98551c9p-7 },
+    {  0x1.32a54cb8db67ap-1,   0x1.96164fafd8de5p-1,  -0x1.e23a7ea0c9ad3p-2,
+      -0x1.3f5ee15671cf4p-4,   0x1.70e468a3d72d9p-3,  -0x1.3da68037cfc99p-6,
+      -0x1.69ed9ba1f9839p-5,   0x1.8cab9244a4ff4p-7 },
+    {  0x1.4b13713ad3513p-1,   0x1.7791b886e7405p-1,  -0x1.ecef423109bf5p-2,
+      -0x1.15c3c5cec6847p-5,   0x1.5f688fc931ba6p-3,  -0x1.1da63ed190037p-5,
+      -0x1.38427ca63cca4p-5,   0x1.fa00e52525e17p-7 },
+    {  0x1.61955607dd15dp-1,   0x1.58a445da7c74ep-1,  -0x1.ef6c246a0f66cp-2,
+       0x1.e83e0d9d61330p-8,   0x1.44cc65535bc9fp-3,  -0x1.87d3c4860435dp-5,
+      -0x1.f90b10501169bp-6,   0x1.22295856d427ap-6 },
+    {  0x1.762870f720c6fp-1,   0x1.39ccc1b136d5cp-1,  -0x1.ea4feea4e4744p-2,
+       0x1.715e5952ebfbap-5,   0x1.22cdbd83c75c4p-3,  -0x1.da50aa1d925b6p-5,
+      -0x1.754dc0a29b4ddp-6,   0x1.350b6bef9392cp-6 },
+    {  0x1.88d1cd474a2e0p-1,   0x1.1b7e98fe26219p-1,  -0x1.de65a22ce1419p-2,
+       0x1.40686a3f16400p-4,   0x1.f6b0cbb216b2bp-4,  -0x1.09c7c903edd57p-4,
+      -0x1.da7529fde641p-7,    0x1.362a7a0588eabp-6 },
+    {  0x1.999d4192a5717p-1,   0x1.fc3ee5d1524b3p-2,  -0x1.cc990045b55c8p-2,
+       0x1.b37338e68b37dp-4,   0x1.a0d120c872ea7p-4,  -0x1.19bb2b07ecff6p-4,
+      -0x1.a110f5f593aafp-8,   0x1.272c15a57720ep-6 },
+    {  0x1.a89c850b7d54dp-1,   0x1.c40b0729ed54ap-2,  -0x1.b5eaaef0a2346p-2,
+       0x1.0847c7dacbae1p-3,   0x1.47de0ba6d18fbp-4,  -0x1.1d9de77a4b648p-4,
+       0x1.30ffbe56f0726p-10,  0x1.0a9cb99feea01p-6 },
+    {  0x1.b5e62fce16096p-1,   0x1.8eed36b886d95p-2,  -0x1.9b64a06e50705p-2,
+       0x1.2bb6e2c744df5p-3,   0x1.dee3261ca61bcp-5,  -0x1.16996004f7da5p-4,
+       0x1.fdff37bae983ep-8,   0x1.c750083e65f9ap-7 },
+    {  0x1.c194b1d49a184p-1,   0x1.5d4fd33729015p-2,  -0x1.7e0f4f045addbp-2,
+       0x1.444bc66c31a1bp-3,   0x1.356dbf16ec8f1p-5,  -0x1.0643de0906cd8p-4,
+       0x1.b281af7bd3a2cp-7,   0x1.6b97eaa2c6abdp-7 },
+    {  0x1.cbc54b476248ep-1,   0x1.2f7cc3fe6f423p-2,  -0x1.5ee8429e36de8p-2,
+       0x1.52a8395f96177p-3,   0x1.313761ba257dcp-6,  -0x1.dcf844d5fed8fp-5,
+       0x1.1e1420f475fa9p-6,   0x1.091c7dc1e18b2p-7 },
+    {  0x1.d4970f9ce00d9p-1,   0x1.059f59af7a905p-2,  -0x1.3eda354de36c3p-2,
+       0x1.57b85ad439779p-3,   0x1.8e913b9778136p-10, -0x1.a2893bd3435f4p-5,
+       0x1.4d3a90e37164ap-6,   0x1.4ce7f6e19a902p-8 },
+    {  0x1.dc29fb60715b0p-1,   0x1.bf8e1b1ca2277p-3,  -0x1.1eb7095e5d6d2p-2,
+       0x1.549ea6f7a64f4p-3,  -0x1.b10f12f3877a3p-7,  -0x1.61420c8f7156ap-5,
+       0x1.674f1f92a8812p-6,   0x1.25543ffd74d52p-9 },
+    {  0x1.e29e22a89d767p-1,   0x1.7bd5c7df3fe99p-3,  -0x1.fe674494077bfp-3,
+       0x1.4a9feacf86578p-3,  -0x1.a008269076644p-6,  -0x1.1cf0e8fb4f1cbp-5,
+       0x1.6e0d2ef105fb3p-6,  -0x1.367205fbd7876p-12 },
+    {  0x1.e812fc64db36ap-1,   0x1.3fda6bc016991p-3,  -0x1.c1cb278627920p-3,
+       0x1.3b10512314f1ep-3,  -0x1.1e6457bb1b9a9p-5,  -0x1.b1f6474e2388cp-6,
+       0x1.640a5345f7ec7p-6,  -0x1.3dae5a997fdbp-9 },
+    {  0x1.eca6ccd709544p-1,   0x1.0b3f52ce8c380p-3,  -0x1.8885019f63c6dp-3,
+       0x1.274275fc91a05p-3,  -0x1.57f73699a8372p-5,  -0x1.3076a305fc7cep-6,
+       0x1.4c6ae04843a41p-6,  -0x1.0be5fcf5ecc91p-8 },
+    {  0x1.f0762fde45ee7p-1,   0x1.bb1c972f23e4ap-4,  -0x1.5341e3c01b58dp-3,
+       0x1.107929f6f0b60p-3,  -0x1.7e1b34f976c02p-5,  -0x1.73b62589c234ap-7,
+       0x1.2a97ee1876486p-6,  -0x1.595f40a3150fep-8 },
+    {  0x1.f39bc242e43e6p-1,   0x1.6c7e64e7281c5p-4,  -0x1.2274b86835fd3p-3,
+       0x1.efb890e5c770dp-4,  -0x1.92c7db16847e0p-5,  -0x1.45477db5e2dd4p-8,
+       0x1.01fc6165fc866p-6,  -0x1.8845509030c2cp-8 },
+    {  0x1.f62fe80272419p-1,   0x1.297db960e4f5dp-4,  -0x1.ecb83b087c04fp-4,
+       0x1.bce18363ca3d1p-4,  -0x1.985aaf776482cp-5,   0x1.cd953efdae886p-12,
+       0x1.ab9a0b89b54ffp-7,  -0x1.9b5e576ccc31cp-8 },
+    {  0x1.f848acb544e95p-1,   0x1.e1d4cf1e24501p-5,  -0x1.9e12e1fde5552p-4,
+       0x1.8a27806df3d1bp-4,  -0x1.91674e5eb3319p-5,   0x1.3bc75595b2db8p-8,
+       0x1.51bc537ac61afp-7,  -0x1.96b23b19ea04dp-8 },
+    {  0x1.f9f9ba8d3c733p-1,   0x1.83298d7172108p-5,  -0x1.58d101f905a75p-4,
+       0x1.58f1456f8639bp-4,  -0x1.808d1850b8231p-5,   0x1.0c1bd99c348a7p-7,
+       0x1.f61e9d7bc48cap-8,  -0x1.7f07c13441774p-8 },
+    {  0x1.fb54641aebbc9p-1,   0x1.34ac36ad8dafap-5,  -0x1.1c8ec267f9405p-4,
+       0x1.2a52c5d841848p-4,  -0x1.68541c02b3b6bp-5,   0x1.5afe400196379p-7,
+       0x1.565b2d6eda3d6p-8,  -0x1.596aaff29e739p-8 },
+    {  0x1.fc67bcf2d7b8fp-1,   0x1.e85c449e377efp-6,  -0x1.d177f166c07c6p-5,
+       0x1.fe23b7584b504p-5,  -0x1.4b12109613313p-5,   0x1.8d9905c0acf7dp-7,
+       0x1.9265032a669dap-9,  -0x1.2ac4a6dbcbf3ep-8 },
+    {  0x1.fd40bd6d7a785p-1,   0x1.7f5188610ddc7p-6,  -0x1.7954423f7c998p-5,
+       0x1.af5baae33887fp-5,  -0x1.2ad77c7cbc474p-5,   0x1.a7b8c47ec2a51p-7,
+       0x1.46646ee094bccp-10, -0x1.ef19d8db8673p-9 },
+    {  0x1.fdea6e062d0c9p-1,   0x1.2a875b5ffab58p-6,  -0x1.2f3178cd6dcd5p-5,
+       0x1.68d1c45b94182p-5,  -0x1.09648ed3aeaefp-5,   0x1.ad8b150d38164p-7,
+      -0x1.e9a6023d9429fp-13, -0x1.8722d19ee2e8ep-9 },
+    {  0x1.fe6e1742f7cf5p-1,   0x1.cd5ec93c1243ap-7,  -0x1.e2ff3aaacb386p-6,
+       0x1.2aa4e5823cc89p-5,  -0x1.d049842dbe399p-6,   0x1.a34edb21ab302p-7,
+      -0x1.676e5996c7f9bp-10, -0x1.23b01a35140bfp-9 },
+    {  0x1.fed37386190fbp-1,   0x1.61beae53b72c2p-7,  -0x1.7d6193f22c3c1p-6,
+       0x1.e947279e3bb7dp-6,  -0x1.906031b97ca97p-6,   0x1.8d14d62561755p-7,
+      -0x1.1f245e7178882p-9,  -0x1.9257d4eb47685p-10 },
+    {  0x1.ff20e0a7ba8c2p-1,   0x1.0d1d69569b839p-7,  -0x1.2a8ca0dc02752p-6,
+       0x1.8cc071b709751p-6,  -0x1.54a149f1b070cp-6,   0x1.6e9137b13412cp-7,
+      -0x1.6577ed3d8e83bp-9,  -0x1.e9c1a5178a289p-11 },
+    {  0x1.ff5b8fb26f5f6p-1,   0x1.9646f35a7663cp-8,  -0x1.cf68ed9311b0bp-7,
+       0x1.3e8735b5a694fp-6,  -0x1.1e1612d026fdfp-6,   0x1.4afd8e6ca636dp-7,
+      -0x1.8c375170ccb22p-9,  -0x1.c799443c4fd3bp-12 },
+    {  0x1.ff87b1913e853p-1,   0x1.30499b5039596p-8,  -0x1.64964201ec8bap-7,
+       0x1.fa73d7eafba98p-7,  -0x1.daa3022141fbbp-7,   0x1.2509444c063b7p-7,
+      -0x1.99482a2f8a0a1p-9,  -0x1.403d1f76c9454p-15 },
+    {  0x1.ffa89fe5b3625p-1,   0x1.c4412bf4b8f35p-9,  -0x1.100f347126cf0p-7,
+       0x1.8ebda07671d40p-7,  -0x1.850c6a31c98c1p-7,   0x1.fdac860c67d21p-8,
+      -0x1.927d03d2ba12cp-9,   0x1.0ff620b4190fep-12 },
+    {  0x1.ffc10194fcb64p-1,   0x1.4d78bba8ca621p-9,  -0x1.9ba107a443e02p-8,
+       0x1.36f273fbc04ccp-7,  -0x1.3b38716ac7e6fp-7,   0x1.b3fe0181914acp-8,
+      -0x1.7d3fe7de98c5cp-9,   0x1.ea31f8e5317f7p-12 },
+    {  0x1.ffd2eae369a07p-1,   0x1.e7f232d9e266cp-10, -0x1.34c7442dd48d9p-8,
+       0x1.e066bed070a0bp-8,  -0x1.f914f3c42fc0dp-8,   0x1.6f4664ed2260fp-8,
+      -0x1.5e59910761d24p-9,   0x1.39cbb6e84c126p-11 },
+    {  0x1.ffdff92db56e5p-1,   0x1.6235fbd7a4373p-10, -0x1.cb5e029b9e56ap-9,
+       0x1.6fa4c7ef274dap-8,  -0x1.903a089a835f3p-8,   0x1.30f12e0ca1901p-8,
+      -0x1.39d21b6957f99p-9,   0x1.5d3f8495a703cp-11 },
+    {  0x1.ffe96a78a04a9p-1,   0x1.fe41cd9bb4f2cp-11, -0x1.52d7b28966c0cp-9,
+       0x1.16c192d86a1a7p-8,  -0x1.39bfce951100cp-8,   0x1.f376a7869f9e3p-9,
+      -0x1.12e6cef999c4fp-9,   0x1.66acd4d667b5p-11 },
+    {  0x1.fff0312b010b5p-1,   0x1.6caa0d3583018p-11, -0x1.efb729f4cf75bp-10,
+       0x1.a2da7cebe12acp-9,  -0x1.e6c27a24bc759p-9,   0x1.93b1f4d8ea65p-9,
+      -0x1.d82050aa94a08p-10,  0x1.5cd7dc75d6cbap-11 },
+    {  0x1.fff50456dab8cp-1,   0x1.0295ef6591865p-11, -0x1.679880e95a4dap-10,
+       0x1.37d38e3a5c8ebp-9,  -0x1.75b3708aebb8fp-9,   0x1.4231c4b4b0296p-9,
+      -0x1.8e26476489318p-10,  0x1.45c3b570dd924p-11 },
+    {  0x1.fff86cfd3e657p-1,   0x1.6be02102b353dp-12, -0x1.02b157780d6aep-10,
+       0x1.cc1d886861133p-10, -0x1.1bff6f12ec9abp-9,   0x1.fc0f77bd9c736p-10,
+      -0x1.4a3320bd0959dp-10,  0x1.267f8b4f95d2p-11 },
+    {  0x1.fffad0b901755p-1,   0x1.fc0d55470cf5ep-13, -0x1.7121aff5e820ep-11,
+       0x1.506d6992f7de5p-10, -0x1.ab595d3ecd0d6p-10,  0x1.8bdd79daaf754p-10,
+      -0x1.0d9b090f997c1p-10,  0x1.031ab9fd1c7dap-11 },
+    {  0x1.fffc7a37857d2p-1,   0x1.5feada379d8a5p-13, -0x1.05304df58f3aap-11,
+       0x1.e79c081b8600fp-11, -0x1.3e5dbe33232e0p-10,  0x1.30eb208200729p-10,
+      -0x1.b1d493b147945p-11,  0x1.bd587bbc071bep-12 },
+    {  0x1.fffd9fdeabccep-1,   0x1.e3bcf436a1a49p-14, -0x1.6e953111ef0a1p-12,
+       0x1.5e3edf6768654p-11, -0x1.d5be67c0547a4p-11,  0x1.d07d9ffa1d435p-11,
+      -0x1.58328f5f358cap-11,  0x1.76d42d95c42c4p-12 },
+    {  0x1.fffe68f4fa777p-1,   0x1.49e17724f4cddp-14, -0x1.fe48c44e229c1p-13,
+       0x1.f2bd95d76f188p-12, -0x1.57388cb12d011p-11,  0x1.5decc25c5c079p-11,
+      -0x1.0d7499d1b0d2dp-11,  0x1.359332c94ecdcp-12 },
+    {  0x1.fffef1960d85dp-1,   0x1.be6abbb10a4cdp-15, -0x1.6040381a8c313p-13,
+       0x1.5fff1dde9ee9dp-12, -0x1.f0c933efa9971p-12,  0x1.04cbf4a5cd760p-11,
+      -0x1.a07f150af6dadp-12,  0x1.f68dd183426bap-13 },
+    {  0x1.ffff4db27f146p-1,   0x1.2bb5cc22e5cd8p-15, -0x1.e25894899f526p-14,
+       0x1.ec8a8e5a72757p-13, -0x1.64256ae0a3cf9p-12,  0x1.80a836c18c46cp-12,
+      -0x1.3dea401af6775p-12,  0x1.915ddff3fe0d1p-13 },
+    {  0x1.ffff8b500e77cp-1,   0x1.8f4ccca7fc769p-16, -0x1.478cffe305946p-14,
+       0x1.559f04adde504p-13, -0x1.f9e1577d6961dp-13,  0x1.18bda53c14716p-12,
+      -0x1.df8634c35541cp-13,  0x1.3bb5c6b616337p-13 },
+    {  0x1.ffffb43555b5fp-1,   0x1.07ebd2a2d26c8p-16, -0x1.b93e442a37f2bp-15,
+       0x1.d5cf15159ce28p-14, -0x1.63f5e1469c006p-13,  0x1.95a03acebac18p-13,
+      -0x1.656e5e2a1f8e2p-13,  0x1.e98c437189bdep-14 },
+    {  0x1.ffffcf23ff5fcp-1,   0x1.5a2adfa0b492cp-17, -0x1.26c88270759f0p-15,
+       0x1.40473572b99a8p-14, -0x1.f057cbde578a5p-14,  0x1.22178d1c3c948p-13,
+      -0x1.0765b61a0d859p-13,  0x1.765b3ea03ddbep-14 },
+    {  0x1.ffffe0bd3e852p-1,   0x1.c282cd3957a72p-18, -0x1.86ad6dfa44faap-16,
+       0x1.b0f313f03a029p-15, -0x1.56e44abecd255p-14,  0x1.9ad1ecfe34a89p-14,
+      -0x1.7fe4033478618p-14,  0x1.1a8184e049fbfp-14 },
+    {  0x1.ffffec2641a9ep-1,   0x1.22df29821407ep-18, -0x1.00c902a6cfd98p-16,
+       0x1.22234eb88671fp-15, -0x1.d57a181c9e6e1p-15,  0x1.200c283b54a90p-14,
+      -0x1.14b4c3295a7d0p-14,  0x1.a4f966f713bdep-15 },
+    {  0x1.fffff37d63a36p-1,   0x1.74adc8f405eecp-19, -0x1.4ed4228e44858p-17,
+       0x1.81918baea92bap-16, -0x1.3e81b17a0009cp-15,  0x1.9004a36116436p-15,
+      -0x1.8aa1ba400e076p-15,  0x1.35cd4e2340a9ep-15 },
+    {  0x1.fffff82cdcf1bp-1,   0x1.d9c73698fa87dp-20, -0x1.b11017ec67115p-18,
+       0x1.fc0dfadf653f8p-17, -0x1.ac4e03cd2dfc2p-16,  0x1.131806b5abbc5p-15,
+      -0x1.1672ef66fcaafp-15,  0x1.c2882c7debed7p-16 },
+    {  0x1.fffffb248c39dp-1,   0x1.2acee2f5ec66ap-20, -0x1.15cc570408a36p-18,
+       0x1.4be757bbb75a3p-17, -0x1.1d6aa5f8d2940p-16,  0x1.76c5937d5105ep-16,
+      -0x1.84dffc3ca9302p-16,  0x1.43c8315f2c30ap-16 },
+    {  0x1.fffffd01f36afp-1,   0x1.75fa8dbc840bap-21, -0x1.6186da0133f5ap-19,
+       0x1.ae023231e1af5p-18, -0x1.790812f7ca394p-17,  0x1.f9c25656d0ef2p-17,
+      -0x1.0cc66682e304cp-16,  0x1.cc170a75d6f9cp-17 },
+    {  0x1.fffffe2ba0ea5p-1,   0x1.d06ad6ecde88ep-22, -0x1.be46aa8edc9a1p-20,
+       0x1.143860c7840b8p-18, -0x1.edaba78fb1260p-18,  0x1.52138a96ecee2p-17,
+      -0x1.6fca538c4e2eep-17,  0x1.434040640bcefp-17 },
+    {  0x1.fffffee3cc32cp-1,   0x1.1e1e857adb8ddp-22, -0x1.1769ce5f2a6e8p-20,
+       0x1.5fe5d479b0543p-19, -0x1.405d865c94c2ap-18,  0x1.bfc94feb96afcp-18,
+      -0x1.f245d5f3e8358p-18,  0x1.c142456acf443p-18 },
+  };
+  float ax = fabsf (x);
+  uint32_t ux = asuint (ax);
+  double s = x;
+  double z = ax;
+  /* 0x407ad444 corresponds to x = 0x1.f5a888p+1 = 3.91921..., which is the
+     largest float such that erf(x) does not round to 1 (to nearest).  */
+  if (__glibc_unlikely (ux > 0x407ad444u))
+    {
+      float os = copysignf (1.0f, x);
+      if (ux > (0xffu << 23))
+	return x + x; /* nan */
+      if (ux == (0xffu << 23))
+	return os; /* +-inf */
+      return os - 0x1p-25f * os;
+    }
+  double v = floor (16.0 * z);
+  uint32_t i = 16.0f * ax;
+  /* 0x3ee00000 corresponds to x = 0.4375, for smaller x we have i < 7.  */
+  if (__glibc_unlikely (ux < 0x3ee00000u))
+    {
+      static const double c[] =
+	{
+	  0x1.20dd750429b6dp+0,  -0x1.812746b0375fbp-2,
+	  0x1.ce2f219fd6f45p-4,  -0x1.b82ce2cbf0838p-6,
+	  0x1.565bb655adb85p-8,  -0x1.c025bfc879c94p-11,
+	  0x1.f81718f61309cp-14, -0x1.cc67bd88f5867p-17
+	};
+      double z2 = s * s, z4 = z2 * z2, z8 = z4 * z4;
+      double c0 = c[0] + z2 * c[1];
+      double c2 = c[2] + z2 * c[3];
+      double c4 = c[4] + z2 * c[5];
+      double c6 = c[6] + z2 * c[7];
+      c0 += z4 * c2;
+      c4 += z4 * c6;
+      c0 += z8 * c4;
+      return s * c0;
+    }
+  z = (z - 0.03125) - 0.0625 * v;
+  const double *c = C[i - 7];
+  double z2 = z * z, z4 = z2 * z2;
+  double c0 = c[0] + z * c[1];
+  double c2 = c[2] + z * c[3];
+  double c4 = c[4] + z * c[5];
+  double c6 = c[6] + z * c[7];
+  c0 += z2 * c2;
+  c4 += z2 * c6;
+  c0 += z4 * c4;
+  return copysign (c0, s);
 }
 libm_alias_float (__erf, erf)
diff --git a/sysdeps/loongarch/lp64/libm-test-ulps b/sysdeps/loongarch/lp64/libm-test-ulps
index 1aaf7b3..b6216828 100644
--- a/sysdeps/loongarch/lp64/libm-test-ulps
+++ b/sysdeps/loongarch/lp64/libm-test-ulps
@@ -910,22 +910,18 @@ ldouble: 5
 
 Function: "erf":
 double: 1
-float: 1
 ldouble: 1
 
 Function: "erf_downward":
 double: 1
-float: 1
 ldouble: 2
 
 Function: "erf_towardzero":
 double: 1
-float: 1
 ldouble: 1
 
 Function: "erf_upward":
 double: 1
-float: 1
 ldouble: 2
 
 Function: "erfc":
diff --git a/sysdeps/m68k/m680x0/fpu/libm-test-ulps b/sysdeps/m68k/m680x0/fpu/libm-test-ulps
index 8456a59..3ea3f74 100644
--- a/sysdeps/m68k/m680x0/fpu/libm-test-ulps
+++ b/sysdeps/m68k/m680x0/fpu/libm-test-ulps
@@ -839,21 +839,17 @@ ldouble: 5
 
 Function: "erf":
 double: 1
-float: 1
 ldouble: 1
 
 Function: "erf_downward":
 double: 1
-float: 1
 
 Function: "erf_towardzero":
 double: 1
-float: 1
 ldouble: 1
 
 Function: "erf_upward":
 double: 1
-float: 1
 ldouble: 1
 
 Function: "erfc":
diff --git a/sysdeps/microblaze/libm-test-ulps b/sysdeps/microblaze/libm-test-ulps
index c89096d..c079a4f 100644
--- a/sysdeps/microblaze/libm-test-ulps
+++ b/sysdeps/microblaze/libm-test-ulps
@@ -172,7 +172,6 @@ float: 2
 
 Function: "erf":
 double: 1
-float: 1
 
 Function: "erfc":
 double: 3
diff --git a/sysdeps/mips/mips32/libm-test-ulps b/sysdeps/mips/mips32/libm-test-ulps
index cef264d..ebd88e0 100644
--- a/sysdeps/mips/mips32/libm-test-ulps
+++ b/sysdeps/mips/mips32/libm-test-ulps
@@ -723,19 +723,15 @@ float: 3
 
 Function: "erf":
 double: 1
-float: 1
 
 Function: "erf_downward":
 double: 1
-float: 1
 
 Function: "erf_towardzero":
 double: 1
-float: 1
 
 Function: "erf_upward":
 double: 1
-float: 1
 
 Function: "erfc":
 double: 5
diff --git a/sysdeps/mips/mips64/libm-test-ulps b/sysdeps/mips/mips64/libm-test-ulps
index 724249d..ca658b9 100644
--- a/sysdeps/mips/mips64/libm-test-ulps
+++ b/sysdeps/mips/mips64/libm-test-ulps
@@ -909,22 +909,18 @@ ldouble: 5
 
 Function: "erf":
 double: 1
-float: 1
 ldouble: 1
 
 Function: "erf_downward":
 double: 1
-float: 1
 ldouble: 2
 
 Function: "erf_towardzero":
 double: 1
-float: 1
 ldouble: 1
 
 Function: "erf_upward":
 double: 1
-float: 1
 ldouble: 2
 
 Function: "erfc":
diff --git a/sysdeps/nios2/libm-test-ulps b/sysdeps/nios2/libm-test-ulps
index dbccba1..6416c7f 100644
--- a/sysdeps/nios2/libm-test-ulps
+++ b/sysdeps/nios2/libm-test-ulps
@@ -177,7 +177,6 @@ float: 2
 
 Function: "erf":
 double: 1
-float: 1
 
 Function: "erfc":
 double: 5
diff --git a/sysdeps/or1k/fpu/libm-test-ulps b/sysdeps/or1k/fpu/libm-test-ulps
index df2b69a..fb16068 100644
--- a/sysdeps/or1k/fpu/libm-test-ulps
+++ b/sysdeps/or1k/fpu/libm-test-ulps
@@ -723,19 +723,15 @@ float: 3
 
 Function: "erf":
 double: 1
-float: 1
 
 Function: "erf_downward":
 double: 1
-float: 1
 
 Function: "erf_towardzero":
 double: 1
-float: 1
 
 Function: "erf_upward":
 double: 1
-float: 1
 
 Function: "erfc":
 double: 5
diff --git a/sysdeps/or1k/nofpu/libm-test-ulps b/sysdeps/or1k/nofpu/libm-test-ulps
index 2263f3f..2742e3b 100644
--- a/sysdeps/or1k/nofpu/libm-test-ulps
+++ b/sysdeps/or1k/nofpu/libm-test-ulps
@@ -723,19 +723,15 @@ float: 3
 
 Function: "erf":
 double: 1
-float: 1
 
 Function: "erf_downward":
 double: 1
-float: 1
 
 Function: "erf_towardzero":
 double: 1
-float: 1
 
 Function: "erf_upward":
 double: 1
-float: 1
 
 Function: "erfc":
 double: 5
diff --git a/sysdeps/powerpc/fpu/libm-test-ulps b/sysdeps/powerpc/fpu/libm-test-ulps
index 36fa54d..b22aaf9 100644
--- a/sysdeps/powerpc/fpu/libm-test-ulps
+++ b/sysdeps/powerpc/fpu/libm-test-ulps
@@ -1105,25 +1105,21 @@ double: 1
 
 Function: "erf":
 double: 1
-float: 1
 float128: 1
 ldouble: 1
 
 Function: "erf_downward":
 double: 1
-float: 1
 float128: 2
 ldouble: 2
 
 Function: "erf_towardzero":
 double: 1
-float: 1
 float128: 1
 ldouble: 2
 
 Function: "erf_upward":
 double: 1
-float: 1
 float128: 2
 ldouble: 3
 
diff --git a/sysdeps/powerpc/nofpu/libm-test-ulps b/sysdeps/powerpc/nofpu/libm-test-ulps
index c32c801..98cd67b 100644
--- a/sysdeps/powerpc/nofpu/libm-test-ulps
+++ b/sysdeps/powerpc/nofpu/libm-test-ulps
@@ -919,22 +919,18 @@ double: 1
 
 Function: "erf":
 double: 1
-float: 1
 ldouble: 1
 
 Function: "erf_downward":
 double: 1
-float: 1
 ldouble: 2
 
 Function: "erf_towardzero":
 double: 1
-float: 1
 ldouble: 2
 
 Function: "erf_upward":
 double: 1
-float: 1
 ldouble: 2
 
 Function: "erfc":
diff --git a/sysdeps/riscv/nofpu/libm-test-ulps b/sysdeps/riscv/nofpu/libm-test-ulps
index 79927c2..8cfeb7b 100644
--- a/sysdeps/riscv/nofpu/libm-test-ulps
+++ b/sysdeps/riscv/nofpu/libm-test-ulps
@@ -906,22 +906,18 @@ ldouble: 5
 
 Function: "erf":
 double: 1
-float: 1
 ldouble: 1
 
 Function: "erf_downward":
 double: 1
-float: 1
 ldouble: 2
 
 Function: "erf_towardzero":
 double: 1
-float: 1
 ldouble: 1
 
 Function: "erf_upward":
 double: 1
-float: 1
 ldouble: 2
 
 Function: "erfc":
diff --git a/sysdeps/riscv/rvd/libm-test-ulps b/sysdeps/riscv/rvd/libm-test-ulps
index fbd5b8f..f7c6c82 100644
--- a/sysdeps/riscv/rvd/libm-test-ulps
+++ b/sysdeps/riscv/rvd/libm-test-ulps
@@ -909,22 +909,18 @@ ldouble: 5
 
 Function: "erf":
 double: 1
-float: 1
 ldouble: 1
 
 Function: "erf_downward":
 double: 1
-float: 1
 ldouble: 2
 
 Function: "erf_towardzero":
 double: 1
-float: 1
 ldouble: 1
 
 Function: "erf_upward":
 double: 1
-float: 1
 ldouble: 2
 
 Function: "erfc":
diff --git a/sysdeps/s390/fpu/libm-test-ulps b/sysdeps/s390/fpu/libm-test-ulps
index ade5a39..36da5d7 100644
--- a/sysdeps/s390/fpu/libm-test-ulps
+++ b/sysdeps/s390/fpu/libm-test-ulps
@@ -910,22 +910,18 @@ ldouble: 5
 
 Function: "erf":
 double: 1
-float: 1
 ldouble: 1
 
 Function: "erf_downward":
 double: 1
-float: 1
 ldouble: 2
 
 Function: "erf_towardzero":
 double: 1
-float: 1
 ldouble: 1
 
 Function: "erf_upward":
 double: 1
-float: 1
 ldouble: 2
 
 Function: "erfc":
diff --git a/sysdeps/sh/libm-test-ulps b/sysdeps/sh/libm-test-ulps
index b0040d7..6b55797 100644
--- a/sysdeps/sh/libm-test-ulps
+++ b/sysdeps/sh/libm-test-ulps
@@ -355,11 +355,9 @@ float: 3
 
 Function: "erf":
 double: 1
-float: 1
 
 Function: "erf_towardzero":
 double: 1
-float: 1
 
 Function: "erfc":
 double: 5
diff --git a/sysdeps/sparc/fpu/libm-test-ulps b/sysdeps/sparc/fpu/libm-test-ulps
index d78b46b..3aed9d4 100644
--- a/sysdeps/sparc/fpu/libm-test-ulps
+++ b/sysdeps/sparc/fpu/libm-test-ulps
@@ -909,22 +909,18 @@ ldouble: 5
 
 Function: "erf":
 double: 1
-float: 1
 ldouble: 1
 
 Function: "erf_downward":
 double: 1
-float: 1
 ldouble: 2
 
 Function: "erf_towardzero":
 double: 1
-float: 1
 ldouble: 1
 
 Function: "erf_upward":
 double: 1
-float: 1
 ldouble: 2
 
 Function: "erfc":
diff --git a/sysdeps/x86_64/fpu/libm-test-ulps b/sysdeps/x86_64/fpu/libm-test-ulps
index 3279379..e00ad56 100644
--- a/sysdeps/x86_64/fpu/libm-test-ulps
+++ b/sysdeps/x86_64/fpu/libm-test-ulps
@@ -1290,25 +1290,21 @@ ldouble: 3
 
 Function: "erf":
 double: 1
-float: 1
 float128: 1
 ldouble: 1
 
 Function: "erf_downward":
 double: 1
-float: 1
 float128: 2
 ldouble: 1
 
 Function: "erf_towardzero":
 double: 1
-float: 1
 float128: 1
 ldouble: 1
 
 Function: "erf_upward":
 double: 1
-float: 1
 float128: 2
 ldouble: 1