diff --git a/wta/bench.py b/wta/bench.py
index e6c3355f5fe235df9ffac80bf598f20dc0c61440..b36c4a9b9dc49e03bf83d0dec2cc19874f3e588f 100755
--- a/wta/bench.py
+++ b/wta/bench.py
@@ -10,9 +10,9 @@ import scipy.stats as st
 samples = 5
 
 
-def coalg_file(states, monoid, symbols, zero_frequency, i):
-    return "bench/wta_%s_%s_%s_%s_%d" % (monoid, symbols, zero_frequency,
-                                         states, i)
+def coalg_file(states, monoid, symbols, zero_frequency, different_values, i):
+    return "bench/wta_%s_%s_%s_%s_%s_%d" % (monoid, symbols, zero_frequency,
+                                         different_values, states, i)
 
 
 def generate(args):
@@ -21,11 +21,12 @@ def generate(args):
     monoid = args.monoid
     symbols = args.symbols
     zero_frequency = args.zero_frequency
+    different_values = args.different_values
 
     os.makedirs("bench", exist_ok=True)
 
     for i in range(0, samples):
-        f = coalg_file(states, monoid, symbols, zero_frequency,
+        f = coalg_file(states, monoid, symbols, zero_frequency, different_values,
                        i) + ".coalgebra"
 
         if os.path.exists(f):
@@ -33,7 +34,8 @@ def generate(args):
 
         cmd = [
             generator, "--states", states, "--monoid", monoid, "--symbols",
-            symbols, "--zero-frequency", zero_frequency
+            symbols, "--zero-frequency", zero_frequency,
+            "--different-values", different_values
         ]
         subprocess.run(cmd, stdout=open(f, "w+"))
 
@@ -44,8 +46,9 @@ def run_one(args, i):
     monoid = args.monoid
     symbols = args.symbols
     zero_frequency = args.zero_frequency
+    different_values = args.different_values
 
-    f = coalg_file(states, monoid, symbols, zero_frequency, i) + ".coalgebra"
+    f = coalg_file(states, monoid, symbols, zero_frequency, different_values, i) + ".coalgebra"
 
     copar_args = [copar, 'refine', '--stats-json', f]
 
@@ -60,6 +63,7 @@ def run_one(args, i):
     stats['monoid'] = monoid
     stats['symbols'] = symbols
     stats['zero-freq'] = zero_frequency
+    stats['mon-values'] = different_values
     stats['i'] = i
 
     return stats
@@ -71,8 +75,9 @@ def run_one_simple(args, i):
     monoid = args.monoid
     symbols = args.symbols
     zero_frequency = args.zero_frequency
+    different_values= args.different_values
 
-    f = coalg_file(states, monoid, symbols, zero_frequency, i) + ".coalgebra"
+    f = coalg_file(states, monoid, symbols, zero_frequency, different_values, i) + ".coalgebra"
 
     copar_args = [copar, 'refine', f]
 
@@ -228,6 +233,7 @@ def main():
     gen_parser.add_argument('--monoid', required=True)
     gen_parser.add_argument('--symbols', required=True)
     gen_parser.add_argument('--zero-frequency', required=True)
+    gen_parser.add_argument('--different-values', required=True)
     gen_parser.set_defaults(func=generate)
 
     run_parser = subparsers.add_parser('run')
@@ -236,6 +242,7 @@ def main():
     run_parser.add_argument('--monoid', required=True)
     run_parser.add_argument('--symbols', required=True)
     run_parser.add_argument('--zero-frequency', required=True)
+    run_parser.add_argument('--different-values', required=True)
     run_parser.add_argument(
         '--stddev', action='store_true', help="report stddev for timings")
     run_parser.add_argument(
@@ -250,6 +257,7 @@ def main():
     bisect_parser.add_argument('--monoid', required=True)
     bisect_parser.add_argument('--symbols', required=True)
     bisect_parser.add_argument('--zero-frequency', required=True)
+    bisect_parser.add_argument('--different-values', required=True)
     bisect_parser.add_argument('--start-states', type=int, default=50)
     bisect_parser.add_argument('--good', type=int)
     bisect_parser.add_argument('--bad', type=int)