diff --git a/compiler/tests/end_to_end_fixture/EndToEndFixture.cpp b/compiler/tests/end_to_end_fixture/EndToEndFixture.cpp
index 6dc725431..fe70b8693 100644
--- a/compiler/tests/end_to_end_fixture/EndToEndFixture.cpp
+++ b/compiler/tests/end_to_end_fixture/EndToEndFixture.cpp
@@ -61,8 +61,8 @@ uint64_t TestErrorRate::too_high_error_count_threshold() {
   // A bad ratio can still detect most issues.
   // A good ratio will help to detect more precise calibration issue.
   double p_mass = 1.0 - TestErrorRate::FALSE_ALARM_RATE;
-  return solve_binomial_cdf_bigger_than(this->nb_repetition, this->p_error,
-                                        p_mass);
+  return solve_binomial_cdf_bigger_than(this->nb_repetition,
+                                        this->global_p_error, p_mass);
 }
 
 template <typename T>
@@ -289,7 +289,7 @@ LLVM_YAML_IS_SEQUENCE_VECTOR(TestDescription)
 
 template <> struct llvm::yaml::MappingTraits<TestErrorRate> {
   static void mapping(IO &io, TestErrorRate &desc) {
-    io.mapRequired("p-error", desc.p_error);
+    io.mapRequired("global-p-error", desc.global_p_error);
     io.mapRequired("nb-repetition", desc.nb_repetition);
   }
 };
diff --git a/compiler/tests/end_to_end_fixture/EndToEndFixture.h b/compiler/tests/end_to_end_fixture/EndToEndFixture.h
index fad967ada..0a3dad856 100644
--- a/compiler/tests/end_to_end_fixture/EndToEndFixture.h
+++ b/compiler/tests/end_to_end_fixture/EndToEndFixture.h
@@ -38,7 +38,7 @@ struct TestDescription {
 };
 
 struct TestErrorRate {
-  double p_error;
+  double global_p_error;
   uint64_t nb_repetition;
   // rate at which a valid code will make the test fail due to bad luck
   const double FALSE_ALARM_RATE = 0.00001;
diff --git a/compiler/tests/end_to_end_fixture/end_to_end_fhe.yaml b/compiler/tests/end_to_end_fixture/end_to_end_fhe.yaml
index 066d9d6d0..75773f8bf 100644
--- a/compiler/tests/end_to_end_fixture/end_to_end_fhe.yaml
+++ b/compiler/tests/end_to_end_fixture/end_to_end_fhe.yaml
@@ -156,11 +156,11 @@ tests:
     outputs:
     - scalar: 12
 test-error-rates:
-  - p-error: 0.05
+  - global-p-error: 0.05
     nb-repetition: 100
-  - p-error: 0.01
+  - global-p-error: 0.01
     nb-repetition: 100
-  - p-error: 0.001
+  - global-p-error: 0.001
     nb-repetition: 100
 ---
 description: apply_lookup_table_5_bits
diff --git a/compiler/tests/end_to_end_fixture/end_to_end_leveled.yaml b/compiler/tests/end_to_end_fixture/end_to_end_leveled.yaml
index bec3279e6..471b9df82 100644
--- a/compiler/tests/end_to_end_fixture/end_to_end_leveled.yaml
+++ b/compiler/tests/end_to_end_fixture/end_to_end_leveled.yaml
@@ -14,7 +14,7 @@ tests:
     outputs:
     - scalar: 1
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 description: zero_tensor_1bits
@@ -28,7 +28,7 @@ tests:
     - tensor: [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
       shape: [2,2,4]
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 description: add_eint_int_cst_1bits
@@ -44,7 +44,7 @@ tests:
     outputs:
     - scalar: 1
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 description: add_eint_int_arg_1bits
@@ -70,7 +70,7 @@ tests:
     outputs:
     - scalar: 1
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 description: add_eint_1_bits
@@ -86,7 +86,7 @@ tests:
     outputs:
     - scalar: 1
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 description: sub_eint_int_cst_1bits
@@ -102,7 +102,7 @@ tests:
     outputs:
     - scalar: 0
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 description: sub_eint_int_arg_1bits
@@ -128,7 +128,7 @@ tests:
     outputs:
     - scalar: 0
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 description: sub_int_eint_cst_1bits
@@ -144,7 +144,7 @@ tests:
     outputs:
     - scalar: 0
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 description: sub_int_eint_arg_1bits
@@ -170,7 +170,7 @@ tests:
     outputs:
     - scalar: 0
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 description: sub_eint_1bits
@@ -196,7 +196,7 @@ tests:
     outputs:
     - scalar: 0
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 description: mul_eint_int_cst_1bits
@@ -216,7 +216,7 @@ tests:
     outputs:
     - scalar: 0
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 description: mul_eint_int_arg_1bits
@@ -247,7 +247,7 @@ tests:
     outputs:
     - scalar: 1
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 ---
@@ -262,7 +262,7 @@ tests:
     outputs:
     - scalar: 3
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 description: zero_tensor_2bits
@@ -276,7 +276,7 @@ tests:
     - tensor: [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
       shape: [2,2,4]
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 description: add_eint_int_cst_2bits
@@ -292,7 +292,7 @@ tests:
     outputs:
     - scalar: 3
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 description: add_eint_int_arg_2bits
@@ -318,7 +318,7 @@ tests:
     outputs:
     - scalar: 3
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 description: add_eint_2_bits
@@ -334,7 +334,7 @@ tests:
     outputs:
     - scalar: 3
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 description: sub_eint_int_cst_2bits
@@ -350,7 +350,7 @@ tests:
     outputs:
     - scalar: 0
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 description: sub_eint_int_arg_2bits
@@ -376,7 +376,7 @@ tests:
     outputs:
     - scalar: 1
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 description: sub_int_eint_cst_2bits
@@ -392,7 +392,7 @@ tests:
     outputs:
     - scalar: 0
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 description: sub_int_eint_arg_2bits
@@ -418,7 +418,7 @@ tests:
     outputs:
     - scalar: 1
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 description: sub_eint_2bits
@@ -444,7 +444,7 @@ tests:
     outputs:
     - scalar: 1
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 description: mul_eint_int_cst_2bits
@@ -464,7 +464,7 @@ tests:
     outputs:
     - scalar: 2
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 description: mul_eint_int_arg_2bits
@@ -495,7 +495,7 @@ tests:
     outputs:
     - scalar: 3
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 ---
@@ -510,7 +510,7 @@ tests:
     outputs:
     - scalar: 7
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 description: zero_tensor_3bits
@@ -524,7 +524,7 @@ tests:
     - tensor: [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
       shape: [2,2,4]
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 description: add_eint_int_cst_3bits
@@ -540,7 +540,7 @@ tests:
     outputs:
     - scalar: 7
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 description: add_eint_int_arg_3bits
@@ -566,7 +566,7 @@ tests:
     outputs:
     - scalar: 7
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 description: add_eint_3_bits
@@ -582,7 +582,7 @@ tests:
     outputs:
     - scalar: 7
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 description: sub_eint_int_cst_3bits
@@ -598,7 +598,7 @@ tests:
     outputs:
     - scalar: 0
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 description: sub_eint_int_arg_3bits
@@ -624,7 +624,7 @@ tests:
     outputs:
     - scalar: 3
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 description: sub_int_eint_cst_3bits
@@ -640,7 +640,7 @@ tests:
     outputs:
     - scalar: 0
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 description: sub_int_eint_arg_3bits
@@ -666,7 +666,7 @@ tests:
     outputs:
     - scalar: 3
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 description: sub_eint_3bits
@@ -692,7 +692,7 @@ tests:
     outputs:
     - scalar: 3
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 description: mul_eint_int_cst_3bits
@@ -712,7 +712,7 @@ tests:
     outputs:
     - scalar: 6
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 description: mul_eint_int_arg_3bits
@@ -743,7 +743,7 @@ tests:
     outputs:
     - scalar: 7
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 ---
@@ -758,7 +758,7 @@ tests:
     outputs:
     - scalar: 15
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 description: zero_tensor_4bits
@@ -772,7 +772,7 @@ tests:
     - tensor: [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
       shape: [2,2,4]
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 description: add_eint_int_cst_4bits
@@ -788,7 +788,7 @@ tests:
     outputs:
     - scalar: 15
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 description: add_eint_int_arg_4bits
@@ -814,7 +814,7 @@ tests:
     outputs:
     - scalar: 15
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 description: add_eint_4_bits
@@ -830,7 +830,7 @@ tests:
     outputs:
     - scalar: 15
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 description: sub_eint_int_cst_4bits
@@ -846,7 +846,7 @@ tests:
     outputs:
     - scalar: 0
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 description: sub_eint_int_arg_4bits
@@ -872,7 +872,7 @@ tests:
     outputs:
     - scalar: 7
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 description: sub_int_eint_cst_4bits
@@ -888,7 +888,7 @@ tests:
     outputs:
     - scalar: 0
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 description: sub_int_eint_arg_4bits
@@ -914,7 +914,7 @@ tests:
     outputs:
     - scalar: 7
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 description: sub_eint_4bits
@@ -940,7 +940,7 @@ tests:
     outputs:
     - scalar: 7
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 description: mul_eint_int_cst_4bits
@@ -960,7 +960,7 @@ tests:
     outputs:
     - scalar: 14
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 description: mul_eint_int_arg_4bits
@@ -991,7 +991,7 @@ tests:
     outputs:
     - scalar: 15
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 ---
@@ -1854,7 +1854,7 @@ tests:
     outputs:
     - scalar: 511
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 description: zero_tensor_9bits
@@ -1868,7 +1868,7 @@ tests:
     - tensor: [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
       shape: [2,2,4]
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 description: add_eint_int_cst_9bits
@@ -1884,7 +1884,7 @@ tests:
     outputs:
     - scalar: 511
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 description: add_eint_int_arg_9bits
@@ -1910,7 +1910,7 @@ tests:
     outputs:
     - scalar: 511
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 description: add_eint_9_bits
@@ -1926,7 +1926,7 @@ tests:
     outputs:
     - scalar: 511
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 description: sub_eint_int_cst_9bits
@@ -1942,7 +1942,7 @@ tests:
     outputs:
     - scalar: 0
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 description: sub_eint_int_arg_9bits
@@ -1968,7 +1968,7 @@ tests:
     outputs:
     - scalar: 255
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 description: sub_int_eint_cst_9bits
@@ -1984,7 +1984,7 @@ tests:
     outputs:
     - scalar: 0
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 description: sub_int_eint_arg_9bits
@@ -2010,7 +2010,7 @@ tests:
     outputs:
     - scalar: 255
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 description: sub_eint_9bits
@@ -2036,7 +2036,7 @@ tests:
     outputs:
     - scalar: 255
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 description: mul_eint_int_cst_9bits
@@ -2056,7 +2056,7 @@ tests:
     outputs:
     - scalar: 510
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 description: mul_eint_int_arg_9bits
@@ -2087,7 +2087,7 @@ tests:
     outputs:
     - scalar: 511
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 ---
@@ -3374,7 +3374,7 @@ tests:
     outputs:
     - scalar: 65535
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 description: zero_tensor_16bits
@@ -3388,7 +3388,7 @@ tests:
     - tensor: [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
       shape: [2,2,4]
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 description: add_eint_int_cst_16bits
@@ -3404,7 +3404,7 @@ tests:
     outputs:
     - scalar: 65535
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 description: add_eint_int_arg_16bits
@@ -3430,7 +3430,7 @@ tests:
     outputs:
     - scalar: 65535
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 description: add_eint_16_bits
@@ -3446,7 +3446,7 @@ tests:
     outputs:
     - scalar: 65535
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 description: sub_eint_int_cst_16bits
@@ -3462,7 +3462,7 @@ tests:
     outputs:
     - scalar: 0
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 description: sub_eint_int_arg_16bits
@@ -3488,7 +3488,7 @@ tests:
     outputs:
     - scalar: 32767
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 description: sub_int_eint_cst_16bits
@@ -3504,7 +3504,7 @@ tests:
     outputs:
     - scalar: 0
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 description: sub_int_eint_arg_16bits
@@ -3530,7 +3530,7 @@ tests:
     outputs:
     - scalar: 32767
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 description: sub_eint_16bits
@@ -3556,7 +3556,7 @@ tests:
     outputs:
     - scalar: 32767
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 description: mul_eint_int_cst_16bits
@@ -3576,7 +3576,7 @@ tests:
     outputs:
     - scalar: 65534
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 description: mul_eint_int_arg_16bits
@@ -3607,7 +3607,7 @@ tests:
     outputs:
     - scalar: 65535
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 ---
@@ -5106,7 +5106,7 @@ tests:
     outputs:
     - scalar: 16777215
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 description: zero_tensor_24bits
@@ -5120,7 +5120,7 @@ tests:
     - tensor: [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
       shape: [2,2,4]
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 description: add_eint_int_cst_24bits
@@ -5136,7 +5136,7 @@ tests:
     outputs:
     - scalar: 16777215
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 description: add_eint_int_arg_24bits
@@ -5162,7 +5162,7 @@ tests:
     outputs:
     - scalar: 16777215
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 description: add_eint_24_bits
@@ -5178,7 +5178,7 @@ tests:
     outputs:
     - scalar: 16777215
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 description: sub_eint_int_cst_24bits
@@ -5194,7 +5194,7 @@ tests:
     outputs:
     - scalar: 0
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 description: sub_eint_int_arg_24bits
@@ -5220,7 +5220,7 @@ tests:
     outputs:
     - scalar: 8388607
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 description: sub_int_eint_cst_24bits
@@ -5236,7 +5236,7 @@ tests:
     outputs:
     - scalar: 0
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 description: sub_int_eint_arg_24bits
@@ -5262,7 +5262,7 @@ tests:
     outputs:
     - scalar: 8388607
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 description: sub_eint_24bits
@@ -5288,7 +5288,7 @@ tests:
     outputs:
     - scalar: 8388607
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 description: mul_eint_int_cst_24bits
@@ -5308,7 +5308,7 @@ tests:
     outputs:
     - scalar: 16777214
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 description: mul_eint_int_arg_24bits
@@ -5339,7 +5339,7 @@ tests:
     outputs:
     - scalar: 16777215
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 ---
@@ -6547,7 +6547,7 @@ tests:
     outputs:
     - scalar: 4294967295
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 description: zero_tensor_32bits
@@ -6561,7 +6561,7 @@ tests:
     - tensor: [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
       shape: [2,2,4]
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 description: add_eint_int_cst_32bits
@@ -6577,7 +6577,7 @@ tests:
     outputs:
     - scalar: 4294967295
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 description: add_eint_32_bits
@@ -6593,7 +6593,7 @@ tests:
     outputs:
     - scalar: 4294967295
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 description: sub_eint_int_cst_32bits
@@ -6609,7 +6609,7 @@ tests:
     outputs:
     - scalar: 4261412864
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 description: sub_int_eint_cst_32bits
@@ -6625,7 +6625,7 @@ tests:
     outputs:
     - scalar: 0
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 description: sub_eint_32bits
@@ -6651,7 +6651,7 @@ tests:
     outputs:
     - scalar: 2147483647
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 description: mul_eint_int_cst_32bits
@@ -6671,7 +6671,7 @@ tests:
     outputs:
     - scalar: 4294967294
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 ---
@@ -9446,7 +9446,7 @@ tests:
     outputs:
     - scalar: 144115188075855871
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 description: zero_tensor_57bits
@@ -9460,7 +9460,7 @@ tests:
     - tensor: [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
       shape: [2,2,4]
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 description: add_eint_int_cst_57bits
@@ -9476,7 +9476,7 @@ tests:
     outputs:
     - scalar: 144115188075855871
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 description: add_eint_57_bits
@@ -9492,7 +9492,7 @@ tests:
     outputs:
     - scalar: 144115188075855871
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 description: sub_eint_int_cst_57bits
@@ -9508,7 +9508,7 @@ tests:
     outputs:
     - scalar: 144115188075855871
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 description: sub_int_eint_cst_57bits
@@ -9524,7 +9524,7 @@ tests:
     outputs:
     - scalar: 0
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 description: sub_eint_57bits
@@ -9550,7 +9550,7 @@ tests:
     outputs:
     - scalar: 72057594037927935
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
 description: mul_eint_int_cst_57bits
@@ -9570,6 +9570,6 @@ tests:
     outputs:
     - scalar: 144115188075855870
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000
 ---
diff --git a/compiler/tests/end_to_end_fixture/end_to_end_leveled_gen.py b/compiler/tests/end_to_end_fixture/end_to_end_leveled_gen.py
index 1858415a4..3d93835c3 100644
--- a/compiler/tests/end_to_end_fixture/end_to_end_leveled_gen.py
+++ b/compiler/tests/end_to_end_fixture/end_to_end_leveled_gen.py
@@ -3,7 +3,7 @@ MAX_PRECISION = 57
 
 TEST_ERROR_RATES = """\
 test-error-rates:
-  - p-error: 0.0001
+  - global-p-error: 0.0001
     nb-repetition: 10000"""
 
 PRECISIONS_WITH_ERROR_RATES = {
diff --git a/compiler/tests/end_to_end_tests/end_to_end_jit_fhe.cc b/compiler/tests/end_to_end_tests/end_to_end_jit_fhe.cc
index 5df3d3c91..541763555 100644
--- a/compiler/tests/end_to_end_tests/end_to_end_jit_fhe.cc
+++ b/compiler/tests/end_to_end_tests/end_to_end_jit_fhe.cc
@@ -41,7 +41,7 @@ void compile_and_run(EndToEndDesc desc,
     compile_and_run_for_config(desc, support, options, llvm::None);
   } else {
     for (auto test_error_rate : desc.test_error_rates) {
-      options.optimizerConfig.p_error = test_error_rate.p_error;
+      options.optimizerConfig.global_p_error = test_error_rate.global_p_error;
       compile_and_run_for_config(desc, support, options, test_error_rate);
     }
   }