diff --git a/benchtests/bench-strcspn.c b/benchtests/bench-strcspn.c
index 2388f33d5441b302ffe34a9bb4ee7ed70db7306b..fa74d305ae66c8f220b2f35d8733520a62a84968 100644
--- a/benchtests/bench-strcspn.c
+++ b/benchtests/bench-strcspn.c
@@ -26,29 +26,8 @@
 #endif /* WIDE */
 #include "bench-string.h"
 
-#ifndef WIDE
-# define SIMPLE_STRCSPN simple_strcspn
-#else
-# define SIMPLE_STRCSPN simple_wcscspn
-#endif /* WIDE */
-
 typedef size_t (*proto_t) (const CHAR *, const CHAR *);
-size_t SIMPLE_STRCSPN (const CHAR *, const CHAR *);
 
-IMPL (SIMPLE_STRCSPN, 0)
 IMPL (STRCSPN, 1)
 
-size_t
-SIMPLE_STRCSPN (const CHAR *s, const CHAR *rej)
-{
-  const CHAR *r, *str = s;
-  CHAR c;
-
-  while ((c = *s++) != '\0')
-    for (r = rej; *r != '\0'; ++r)
-      if (*r == c)
-	return s - str - 1;
-  return s - str - 1;
-}
-
 #include "bench-strpbrk.c"
diff --git a/benchtests/bench-strpbrk.c b/benchtests/bench-strpbrk.c
index e96fb0efbf06fcb6c329917f73a90149d2bcb944..55199b73c9233bcedf52bd8e45dca628371c2803 100644
--- a/benchtests/bench-strpbrk.c
+++ b/benchtests/bench-strpbrk.c
@@ -35,31 +35,10 @@
 # endif /* WIDE */
 # include "bench-string.h"
 
-# ifndef WIDE
-#  define SIMPLE_STRPBRK simple_strpbrk
-# else
-#  define SIMPLE_STRPBRK simple_wcspbrk
-# endif /* WIDE */
-
 typedef CHAR *(*proto_t) (const CHAR *, const CHAR *);
-CHAR *SIMPLE_STRPBRK (const CHAR *, const CHAR *);
 
-IMPL (SIMPLE_STRPBRK, 0)
 IMPL (STRPBRK, 1)
 
-CHAR *
-SIMPLE_STRPBRK (const CHAR *s, const CHAR *rej)
-{
-  const CHAR *r;
-  CHAR c;
-
-  while ((c = *s++) != '\0')
-    for (r = rej; *r != '\0'; ++r)
-      if (*r == c)
-	return (CHAR *) s - 1;
-  return NULL;
-}
-
 #endif /* !STRPBRK_RESULT */
 
 #include "json-lib.h"
@@ -69,7 +48,7 @@ do_one_test (json_ctx_t *json_ctx, impl_t *impl, const CHAR *s,
              const CHAR *rej, RES_TYPE exp_res)
 {
   RES_TYPE res = CALL (impl, s, rej);
-  size_t i, iters = INNER_LOOP_ITERS;
+  size_t i, iters = INNER_LOOP_ITERS8 / CHARBYTES;
   timing_t start, stop, cur;
 
   if (res != exp_res)
diff --git a/benchtests/bench-strsep.c b/benchtests/bench-strsep.c
index 4b203aff30db1592120db5f0b39b06a6e9cd4a13..d7df3fa0a9aae04918ad54fc7927a1da18ceb402 100644
--- a/benchtests/bench-strsep.c
+++ b/benchtests/bench-strsep.c
@@ -20,90 +20,14 @@
 #define TEST_NAME "strsep"
 #include "bench-string.h"
 
-char *
-simple_strsep (char **s1, char *s2)
-{
-  char *begin;
-  char *s;
-  size_t j = 0;
-
-  begin = *s1;
-  s = begin;
-  if (begin == NULL)
-    return NULL;
-  ssize_t s2len = strlen (s2);
-  while (*s)
-    {
-      for (j = 0; j < s2len; j++)
-	{
-	  if (*s == s2[j])
-	    {
-	      s[0] = '\0';
-	      *s1 = s + 1;
-	      return begin;
-	    }
-	}
-      s++;
-    }
-  *s1 = NULL;
-  return begin;
-}
-
-char *
-oldstrsep (char **stringp, const char *delim)
-{
-  char *begin, *end;
-
-  begin = *stringp;
-  if (begin == NULL)
-    return NULL;
-
-  /* A frequent case is when the delimiter string contains only one
-     character.  Here we don't need to call the expensive `strpbrk'
-     function and instead work using `strchr'.  */
-  if (delim[0] == '\0' || delim[1] == '\0')
-    {
-      char ch = delim[0];
-
-      if (ch == '\0')
-	end = NULL;
-      else
-	{
-	  if (*begin == ch)
-	    end = begin;
-	  else if (*begin == '\0')
-	    end = NULL;
-	  else
-	    end = strchr (begin + 1, ch);
-	}
-    }
-  else
-    /* Find the end of the token.  */
-    end = strpbrk (begin, delim);
-
-  if (end)
-    {
-      /* Terminate the token and set *STRINGP past NUL character.  */
-      *end++ = '\0';
-      *stringp = end;
-    }
-  else
-    /* No more delimiters; this is the last token.  */
-    *stringp = NULL;
-
-  return begin;
-}
-
 typedef char *(*proto_t) (const char **, const char *);
 
-IMPL (simple_strsep, 0)
 IMPL (strsep, 1)
-IMPL (oldstrsep, 2)
 
 static void
 do_one_test (impl_t * impl, const char *s1, const char *s2)
 {
-  size_t i, iters = INNER_LOOP_ITERS_SMALL;
+  size_t i, iters = INNER_LOOP_ITERS;
   timing_t start, stop, cur;
 
   TIMING_NOW (start);
diff --git a/benchtests/bench-strspn.c b/benchtests/bench-strspn.c
index 707613cbcf5ac556e6d5a0c3a95c19be1dcadfc6..cc98ffb38bd5d7085efa8c1d1fb7aba6c46c1b3f 100644
--- a/benchtests/bench-strspn.c
+++ b/benchtests/bench-strspn.c
@@ -28,41 +28,20 @@
 #define BIG_CHAR MAX_CHAR
 
 #ifndef WIDE
-# define SIMPLE_STRSPN simple_strspn
 # define SMALL_CHAR 127
 #else
-# define SIMPLE_STRSPN simple_wcsspn
 # define SMALL_CHAR 1273
 #endif /* WIDE */
 
 typedef size_t (*proto_t) (const CHAR *, const CHAR *);
-size_t SIMPLE_STRSPN (const CHAR *, const CHAR *);
 
-IMPL (SIMPLE_STRSPN, 0)
 IMPL (STRSPN, 1)
 
-size_t
-SIMPLE_STRSPN (const CHAR *s, const CHAR *acc)
-{
-  const CHAR *r, *str = s;
-  CHAR c;
-
-  while ((c = *s++) != '\0')
-    {
-      for (r = acc; *r != '\0'; ++r)
-	if (*r == c)
-	  break;
-      if (*r == '\0')
-	return s - str - 1;
-    }
-  return s - str - 1;
-}
-
 static void
 do_one_test (json_ctx_t *json_ctx, impl_t *impl, const CHAR *s,
              const CHAR *acc, size_t exp_res)
 {
-  size_t res = CALL (impl, s, acc), i, iters = INNER_LOOP_ITERS;
+  size_t res = CALL (impl, s, acc), i, iters = INNER_LOOP_ITERS8 / CHARBYTES;
   timing_t start, stop, cur;
 
   if (res != exp_res)
diff --git a/benchtests/bench-strtok.c b/benchtests/bench-strtok.c
index 711bdaab58ff297855b03d62057cefd066f4e1c5..b5789d7bf243c40810f38efd40f0bb9c870327ca 100644
--- a/benchtests/bench-strtok.c
+++ b/benchtests/bench-strtok.c
@@ -20,47 +20,14 @@
 #define TEST_NAME "strtok"
 #include "bench-string.h"
 
-char *
-oldstrtok (char *s, const char *delim)
-{
-  static char *olds;
-  char *token;
-
-  if (s == NULL)
-    s = olds;
-
-  /* Scan leading delimiters.  */
-  s += strspn (s, delim);
-  if (*s == '\0')
-    {
-      olds = s;
-      return NULL;
-    }
-
-  /* Find the end of the token.  */
-  token = s;
-  s = strpbrk (token, delim);
-  if (s == NULL)
-    /* This token finishes the string.  */
-    olds = strchr (token, '\0');
-  else
-    {
-      /* Terminate the token and make OLDS point past it.  */
-      *s = '\0';
-      olds = s + 1;
-    }
-  return token;
-}
-
 typedef char *(*proto_t) (const char *, const char *);
 
-IMPL (oldstrtok, 0)
 IMPL (strtok, 1)
 
 static void
 do_one_test (impl_t * impl, const char *s1, const char *s2)
 {
-  size_t i, iters = INNER_LOOP_ITERS_SMALL;
+  size_t i, iters = INNER_LOOP_ITERS_MEDIUM;
   timing_t start, stop, cur;
   TIMING_NOW (start);
   for (i = 0; i < iters; ++i)
@@ -74,7 +41,6 @@ do_one_test (impl_t * impl, const char *s1, const char *s2)
   TIMING_DIFF (cur, start, stop);
 
   TIMING_PRINT_MEAN ((double) cur, (double) iters);
-
 }
 
 
