diff --git a/pyerrors/fits.py b/pyerrors/fits.py
index eef16518..3a04f1a0 100644
--- a/pyerrors/fits.py
+++ b/pyerrors/fits.py
@@ -180,7 +180,7 @@ def total_least_squares(x, y, func, silent=False, **kwargs):
     for i in range(42):
         try:
             func(np.arange(i), x.T[0])
-        except Exception:
+        except (IndexError, TypeError) as e:
             continue
         else:
             break
@@ -322,7 +322,7 @@ def _prior_fit(x, y, func, priors, silent=False, **kwargs):
     for i in range(100):
         try:
             func(np.arange(i), 0)
-        except Exception:
+        except (IndexError, TypeError) as e:
             continue
         else:
             break
@@ -449,7 +449,7 @@ def _standard_fit(x, y, func, silent=False, **kwargs):
     for i in range(42):
         try:
             func(np.arange(i), x.T[0])
-        except Exception:
+        except (IndexError, TypeError) as e:
             continue
         else:
             break