{ "benchmark_version": "v1", "cases": [ { "benchmark": "ckks-depth-aware-single-operations", "category": "Single operations", "comparison": { "axis": [ "operation", "entry_level" ], "portal_highlight": { "entry_level": 0, "label": "CT × CT multiply · level 0", "metric": "depth-aware-ckks-operation-latency", "operation": "multiply" } }, "failure": null, "finished_at": "2026-08-14T15:30:30.124234+00:00", "id": "ckks-depth-aware-single-operations", "parameters": { "ciphertext_modulus_basis": "Q", "include_raw_samples": true, "levels": [ 0, 1, 2, 3, 4, 5, 6 ], "logN": 14, "nonce": 0, "ntt_backend": "radix2_indexed", "num_p_primes": 1, "num_scale_primes": 7, "operations": [ "encrypt", "decrypt", "coefficient_domain_to_ntt_domain", "ntt_domain_to_coefficient_domain", "add", "add_plaintext", "multiply_plaintext", "multiply", "relinearize", "rotate_with_key", "rescale_to_next_level", "mod_switch_to_next_level" ], "preset": "slots8192-scale40-levels7-int64", "rescale_rounding": "nearest", "rotation_step": 1, "runs": 3, "scale_bits": 40, "seed": 20260807, "warmup": 1 }, "profile": "core", "requirements": { "native_backends_any": [ "cpu", "cuda" ] }, "result": { "benchmark": "ckks-depth-aware-single-operations", "correctness": [ { "comparison": "==", "details": { "entry_level": 0, "mismatches": {}, "observed_exit_state": { "batch_shape": [], "component_count": 2, "device": "cuda:0", "dtype": "torch.int64", "level": 0, "limb_count": 8, "modulus_basis": "Q", "polynomial_domain": "coefficient", "prime_ids": [ 0, 1, 2, 3, 4, 5, 6, 7 ], "representation": "rns", "residue_representation": "standard", "ring_dimension": 16384, "scale": 1099511627776.0, "value_type": "ciphertext" }, "operation": "encrypt", "predicted_exit_state": { "batch_shape": [], "component_count": 2, "device": "cuda:0", "dtype": "torch.int64", "level": 0, "limb_count": 8, "modulus_basis": "Q", "polynomial_domain": "coefficient", "prime_ids": [ 0, 1, 2, 3, 4, 5, 6, 7 ], "representation": "rns", "residue_representation": "standard", "ring_dimension": 16384, "scale": 1099511627776.0, "value_type": "ciphertext" } }, "limit": 0, "metric": "state_mismatch_count", "name": "encrypt-level-0-exit-state", "observed": 0, "oracle": "Observed exit state satisfies the operation postconditions for level, actual scale, rows, components, domain, basis, representation, shape, dtype, and device.", "passed": true, "unit": "fields" }, { "comparison": "<=", "details": { "entry_level": 0, "nonfinite_count": 0, "operation": "encrypt", "relative_l2_error": 4.6345642574787675e-06, "rms_error": 5.480023228684955e-08 }, "limit": 1e-05, "metric": "max_abs_error", "name": "encrypt-level-0-semantic-error", "observed": 2.5928562484449522e-06, "oracle": "All decoded slots are compared with the fixed cleartext operation after untimed canonicalization.", "passed": true, "unit": "absolute" }, { "comparison": "==", "details": { "entry_level": 0, "mismatches": {}, "observed_exit_state": { "batch_shape": [], "component_count": null, "device": "cuda:0", "dtype": "torch.float64", "level": 0, "limb_count": null, "modulus_basis": null, "polynomial_domain": "coefficient", "prime_ids": [], "representation": "approximate_coefficients", "residue_representation": null, "ring_dimension": 16384, "scale": 1099511627776.0, "value_type": "plaintext" }, "operation": "decrypt", "predicted_exit_state": { "batch_shape": [], "component_count": null, "device": "cuda:0", "dtype": "torch.float64", "level": 0, "limb_count": null, "modulus_basis": null, "polynomial_domain": "coefficient", "prime_ids": [], "representation": "approximate_coefficients", "residue_representation": null, "ring_dimension": 16384, "scale": 1099511627776.0, "value_type": "plaintext" } }, "limit": 0, "metric": "state_mismatch_count", "name": "decrypt-level-0-exit-state", "observed": 0, "oracle": "Observed exit state satisfies the operation postconditions for level, actual scale, rows, components, domain, basis, representation, shape, dtype, and device.", "passed": true, "unit": "fields" }, { "comparison": "<=", "details": { "entry_level": 0, "nonfinite_count": 0, "operation": "decrypt", "relative_l2_error": 4.658236791993657e-06, "rms_error": 5.5080142180890013e-08 }, "limit": 1e-05, "metric": "max_abs_error", "name": "decrypt-level-0-semantic-error", "observed": 2.6091945005486113e-06, "oracle": "All decoded slots are compared with the fixed cleartext operation after untimed canonicalization.", "passed": true, "unit": "absolute" }, { "comparison": "==", "details": { "entry_level": 0, "mismatches": {}, "observed_exit_state": { "batch_shape": [], "component_count": 2, "device": "cuda:0", "dtype": "torch.int64", "level": 0, "limb_count": 8, "modulus_basis": "Q", "polynomial_domain": "ntt", "prime_ids": [ 0, 1, 2, 3, 4, 5, 6, 7 ], "representation": "rns", "residue_representation": "montgomery", "ring_dimension": 16384, "scale": 1099511627776.0, "value_type": "ciphertext" }, "operation": "coefficient_domain_to_ntt_domain", "predicted_exit_state": { "batch_shape": [], "component_count": 2, "device": "cuda:0", "dtype": "torch.int64", "level": 0, "limb_count": 8, "modulus_basis": "Q", "polynomial_domain": "ntt", "prime_ids": [ 0, 1, 2, 3, 4, 5, 6, 7 ], "representation": "rns", "residue_representation": "montgomery", "ring_dimension": 16384, "scale": 1099511627776.0, "value_type": "ciphertext" } }, "limit": 0, "metric": "state_mismatch_count", "name": "coefficient_domain_to_ntt_domain-level-0-exit-state", "observed": 0, "oracle": "Observed exit state satisfies the operation postconditions for level, actual scale, rows, components, domain, basis, representation, shape, dtype, and device.", "passed": true, "unit": "fields" }, { "comparison": "<=", "details": { "entry_level": 0, "nonfinite_count": 0, "operation": "coefficient_domain_to_ntt_domain", "relative_l2_error": 4.658236791993657e-06, "rms_error": 5.5080142180890013e-08 }, "limit": 2e-05, "metric": "max_abs_error", "name": "coefficient_domain_to_ntt_domain-level-0-semantic-error", "observed": 2.6091945005486113e-06, "oracle": "All decoded slots are compared with the fixed cleartext operation after untimed canonicalization.", "passed": true, "unit": "absolute" }, { "comparison": "==", "details": { "entry_level": 0, "mismatches": {}, "observed_exit_state": { "batch_shape": [], "component_count": 2, "device": "cuda:0", "dtype": "torch.int64", "level": 0, "limb_count": 8, "modulus_basis": "Q", "polynomial_domain": "coefficient", "prime_ids": [ 0, 1, 2, 3, 4, 5, 6, 7 ], "representation": "rns", "residue_representation": "standard", "ring_dimension": 16384, "scale": 1099511627776.0, "value_type": "ciphertext" }, "operation": "ntt_domain_to_coefficient_domain", "predicted_exit_state": { "batch_shape": [], "component_count": 2, "device": "cuda:0", "dtype": "torch.int64", "level": 0, "limb_count": 8, "modulus_basis": "Q", "polynomial_domain": "coefficient", "prime_ids": [ 0, 1, 2, 3, 4, 5, 6, 7 ], "representation": "rns", "residue_representation": "standard", "ring_dimension": 16384, "scale": 1099511627776.0, "value_type": "ciphertext" } }, "limit": 0, "metric": "state_mismatch_count", "name": "ntt_domain_to_coefficient_domain-level-0-exit-state", "observed": 0, "oracle": "Observed exit state satisfies the operation postconditions for level, actual scale, rows, components, domain, basis, representation, shape, dtype, and device.", "passed": true, "unit": "fields" }, { "comparison": "<=", "details": { "entry_level": 0, "nonfinite_count": 0, "operation": "ntt_domain_to_coefficient_domain", "relative_l2_error": 4.658236791993657e-06, "rms_error": 5.5080142180890013e-08 }, "limit": 2e-05, "metric": "max_abs_error", "name": "ntt_domain_to_coefficient_domain-level-0-semantic-error", "observed": 2.6091945005486113e-06, "oracle": "All decoded slots are compared with the fixed cleartext operation after untimed canonicalization.", "passed": true, "unit": "absolute" }, { "comparison": "==", "details": { "entry_level": 0, "mismatches": {}, "observed_exit_state": { "batch_shape": [], "component_count": 2, "device": "cuda:0", "dtype": "torch.int64", "level": 0, "limb_count": 8, "modulus_basis": "Q", "polynomial_domain": "coefficient", "prime_ids": [ 0, 1, 2, 3, 4, 5, 6, 7 ], "representation": "rns", "residue_representation": "standard", "ring_dimension": 16384, "scale": 1099511627776.0, "value_type": "ciphertext" }, "operation": "add", "predicted_exit_state": { "batch_shape": [], "component_count": 2, "device": "cuda:0", "dtype": "torch.int64", "level": 0, "limb_count": 8, "modulus_basis": "Q", "polynomial_domain": "coefficient", "prime_ids": [ 0, 1, 2, 3, 4, 5, 6, 7 ], "representation": "rns", "residue_representation": "standard", "ring_dimension": 16384, "scale": 1099511627776.0, "value_type": "ciphertext" } }, "limit": 0, "metric": "state_mismatch_count", "name": "add-level-0-exit-state", "observed": 0, "oracle": "Observed exit state satisfies the operation postconditions for level, actual scale, rows, components, domain, basis, representation, shape, dtype, and device.", "passed": true, "unit": "fields" }, { "comparison": "<=", "details": { "entry_level": 0, "nonfinite_count": 0, "operation": "add", "relative_l2_error": 6.044514449673438e-06, "rms_error": 8.910868241138844e-08 }, "limit": 2e-05, "metric": "max_abs_error", "name": "add-level-0-semantic-error", "observed": 5.204867540006415e-06, "oracle": "All decoded slots are compared with the fixed cleartext operation after untimed canonicalization.", "passed": true, "unit": "absolute" }, { "comparison": "==", "details": { "entry_level": 0, "mismatches": {}, "observed_exit_state": { "batch_shape": [], "component_count": 2, "device": "cuda:0", "dtype": "torch.int64", "level": 0, "limb_count": 8, "modulus_basis": "Q", "polynomial_domain": "coefficient", "prime_ids": [ 0, 1, 2, 3, 4, 5, 6, 7 ], "representation": "rns", "residue_representation": "standard", "ring_dimension": 16384, "scale": 1099511627776.0, "value_type": "ciphertext" }, "operation": "add_plaintext", "predicted_exit_state": { "batch_shape": [], "component_count": 2, "device": "cuda:0", "dtype": "torch.int64", "level": 0, "limb_count": 8, "modulus_basis": "Q", "polynomial_domain": "coefficient", "prime_ids": [ 0, 1, 2, 3, 4, 5, 6, 7 ], "representation": "rns", "residue_representation": "standard", "ring_dimension": 16384, "scale": 1099511627776.0, "value_type": "ciphertext" } }, "limit": 0, "metric": "state_mismatch_count", "name": "add_plaintext-level-0-exit-state", "observed": 0, "oracle": "Observed exit state satisfies the operation postconditions for level, actual scale, rows, components, domain, basis, representation, shape, dtype, and device.", "passed": true, "unit": "fields" }, { "comparison": "<=", "details": { "entry_level": 0, "nonfinite_count": 0, "operation": "add_plaintext", "relative_l2_error": 3.7362573624985456e-06, "rms_error": 5.508018443732588e-08 }, "limit": 2e-05, "metric": "max_abs_error", "name": "add_plaintext-level-0-semantic-error", "observed": 2.6092304817552005e-06, "oracle": "All decoded slots are compared with the fixed cleartext operation after untimed canonicalization.", "passed": true, "unit": "absolute" }, { "comparison": "==", "details": { "entry_level": 0, "mismatches": {}, "observed_exit_state": { "batch_shape": [], "component_count": 2, "device": "cuda:0", "dtype": "torch.int64", "level": 0, "limb_count": 8, "modulus_basis": "Q", "polynomial_domain": "ntt", "prime_ids": [ 0, 1, 2, 3, 4, 5, 6, 7 ], "representation": "rns", "residue_representation": "montgomery", "ring_dimension": 16384, "scale": 1.2089258196146292e+24, "value_type": "ciphertext" }, "operation": "multiply_plaintext", "predicted_exit_state": { "batch_shape": [], "component_count": 2, "device": "cuda:0", "dtype": "torch.int64", "level": 0, "limb_count": 8, "modulus_basis": "Q", "polynomial_domain": "ntt", "prime_ids": [ 0, 1, 2, 3, 4, 5, 6, 7 ], "representation": "rns", "residue_representation": "montgomery", "ring_dimension": 16384, "scale": 1.2089258196146292e+24, "value_type": "ciphertext" } }, "limit": 0, "metric": "state_mismatch_count", "name": "multiply_plaintext-level-0-exit-state", "observed": 0, "oracle": "Observed exit state satisfies the operation postconditions for level, actual scale, rows, components, domain, basis, representation, shape, dtype, and device.", "passed": true, "unit": "fields" }, { "comparison": "<=", "details": { "entry_level": 0, "nonfinite_count": 0, "operation": "multiply_plaintext", "relative_l2_error": 4.851157575034454e-06, "rms_error": 5.166886648587201e-10 }, "limit": 3e-05, "metric": "max_abs_error", "name": "multiply_plaintext-level-0-semantic-error", "observed": 2.660831338531045e-08, "oracle": "All decoded slots are compared with the fixed cleartext operation after untimed canonicalization.", "passed": true, "unit": "absolute" }, { "comparison": "==", "details": { "entry_level": 0, "mismatches": {}, "observed_exit_state": { "batch_shape": [], "component_count": 3, "device": "cuda:0", "dtype": "torch.int64", "level": 0, "limb_count": 8, "modulus_basis": "Q", "polynomial_domain": "ntt", "prime_ids": [ 0, 1, 2, 3, 4, 5, 6, 7 ], "representation": "rns", "residue_representation": "montgomery", "ring_dimension": 16384, "scale": 1.2089258196146292e+24, "value_type": "ciphertext" }, "operation": "multiply", "predicted_exit_state": { "batch_shape": [], "component_count": 3, "device": "cuda:0", "dtype": "torch.int64", "level": 0, "limb_count": 8, "modulus_basis": "Q", "polynomial_domain": "ntt", "prime_ids": [ 0, 1, 2, 3, 4, 5, 6, 7 ], "representation": "rns", "residue_representation": "montgomery", "ring_dimension": 16384, "scale": 1.2089258196146292e+24, "value_type": "ciphertext" } }, "limit": 0, "metric": "state_mismatch_count", "name": "multiply-level-0-exit-state", "observed": 0, "oracle": "Observed exit state satisfies the operation postconditions for level, actual scale, rows, 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"value_type": "ciphertext" }, "operation": "relinearize", "predicted_exit_state": { "batch_shape": [], "component_count": 2, "device": "cuda:0", "dtype": "torch.int64", "level": 0, "limb_count": 8, "modulus_basis": "Q", "polynomial_domain": "coefficient", "prime_ids": [ 0, 1, 2, 3, 4, 5, 6, 7 ], "representation": "rns", "residue_representation": "standard", "ring_dimension": 16384, "scale": 1.2089258196146292e+24, "value_type": "ciphertext" } }, "limit": 0, "metric": "state_mismatch_count", "name": "relinearize-level-0-exit-state", "observed": 0, "oracle": "Observed exit state satisfies the operation postconditions for level, actual scale, rows, components, domain, basis, representation, shape, dtype, and device.", "passed": true, "unit": "fields" }, { "comparison": "<=", "details": { "entry_level": 0, "nonfinite_count": 0, "operation": "relinearize", "relative_l2_error": 8.324116476925717e-06, "rms_error": 8.865876983104765e-10 }, "limit": 3e-05, "metric": "max_abs_error", "name": "relinearize-level-0-semantic-error", "observed": 5.013799912497439e-08, "oracle": "All decoded slots are compared with the fixed cleartext operation after untimed canonicalization.", "passed": true, "unit": "absolute" }, { "comparison": "==", "details": { "entry_level": 0, "mismatches": {}, "observed_exit_state": { "batch_shape": [], "component_count": 2, "device": "cuda:0", "dtype": "torch.int64", "level": 0, "limb_count": 8, "modulus_basis": "Q", "polynomial_domain": "coefficient", "prime_ids": [ 0, 1, 2, 3, 4, 5, 6, 7 ], "representation": "rns", "residue_representation": "standard", "ring_dimension": 16384, "scale": 1099511627776.0, "value_type": "ciphertext" }, "operation": "rotate_with_key", "predicted_exit_state": { "batch_shape": [], "component_count": 2, "device": "cuda:0", "dtype": "torch.int64", "level": 0, "limb_count": 8, "modulus_basis": "Q", "polynomial_domain": "coefficient", "prime_ids": [ 0, 1, 2, 3, 4, 5, 6, 7 ], "representation": "rns", "residue_representation": "standard", "ring_dimension": 16384, "scale": 1099511627776.0, "value_type": "ciphertext" } }, "limit": 0, "metric": "state_mismatch_count", "name": "rotate_with_key-level-0-exit-state", "observed": 0, "oracle": "Observed exit state satisfies the operation postconditions for level, actual scale, rows, components, domain, basis, representation, shape, dtype, and device.", "passed": true, "unit": "fields" }, { "comparison": "<=", "details": { "entry_level": 0, "nonfinite_count": 0, "operation": "rotate_with_key", "relative_l2_error": 5.039590615944527e-06, "rms_error": 5.958936397067586e-08 }, "limit": 2e-05, "metric": "max_abs_error", "name": "rotate_with_key-level-0-semantic-error", "observed": 2.6065143133162725e-06, "oracle": "All decoded slots are compared with the fixed cleartext operation after untimed canonicalization.", "passed": true, "unit": "absolute" }, { "comparison": "==", "details": { "entry_level": 0, "mismatches": {}, "observed_exit_state": { "batch_shape": [], "component_count": 2, "device": "cuda:0", "dtype": "torch.int64", "level": 1, "limb_count": 7, "modulus_basis": "Q", "polynomial_domain": "coefficient", "prime_ids": [ 1, 2, 3, 4, 5, 6, 7 ], "representation": "rns", "residue_representation": "standard", "ring_dimension": 16384, "scale": 1099511627776.0, "value_type": "ciphertext" }, "operation": "rescale_to_next_level", "predicted_exit_state": { "batch_shape": [], "component_count": 2, "device": "cuda:0", "dtype": "torch.int64", "level": 1, "limb_count": 7, "modulus_basis": "Q", "polynomial_domain": "coefficient", "prime_ids": [ 1, 2, 3, 4, 5, 6, 7 ], "representation": "rns", "residue_representation": "standard", "ring_dimension": 16384, "scale": 1099511627776.0, "value_type": "ciphertext" } }, "limit": 0, "metric": "state_mismatch_count", "name": "rescale_to_next_level-level-0-exit-state", "observed": 0, "oracle": "Observed exit state satisfies the operation postconditions for level, actual scale, rows, components, domain, basis, representation, shape, dtype, and device.", "passed": true, "unit": "fields" }, { "comparison": "<=", "details": { "entry_level": 0, "nonfinite_count": 0, "operation": "rescale_to_next_level", "relative_l2_error": 4.658236791993657e-06, "rms_error": 5.5080142180890013e-08 }, "limit": 3e-05, "metric": "max_abs_error", "name": "rescale_to_next_level-level-0-semantic-error", "observed": 2.6091945005486113e-06, "oracle": "All decoded slots are compared with the fixed cleartext operation after untimed canonicalization.", "passed": true, "unit": "absolute" }, { "comparison": "==", "details": { "entry_level": 0, "mismatches": {}, "observed_exit_state": { "batch_shape": [], "component_count": 2, "device": "cuda:0", "dtype": "torch.int64", "level": 1, "limb_count": 7, "modulus_basis": "Q", "polynomial_domain": "coefficient", "prime_ids": [ 1, 2, 3, 4, 5, 6, 7 ], "representation": "rns", "residue_representation": "standard", "ring_dimension": 16384, "scale": 1099511627776.0, "value_type": 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"component_count": null, "device": "cuda:0", "dtype": "torch.float64", "level": 1, "limb_count": null, "modulus_basis": null, "polynomial_domain": "coefficient", "prime_ids": [], "representation": "approximate_coefficients", "residue_representation": null, "ring_dimension": 16384, "scale": 1099511627776.0, "value_type": "plaintext" }, "operation": "decrypt", "predicted_exit_state": { "batch_shape": [], "component_count": null, "device": "cuda:0", "dtype": "torch.float64", "level": 1, "limb_count": null, "modulus_basis": null, "polynomial_domain": "coefficient", "prime_ids": [], "representation": "approximate_coefficients", "residue_representation": null, "ring_dimension": 16384, "scale": 1099511627776.0, "value_type": "plaintext" } }, "limit": 0, "metric": "state_mismatch_count", "name": "decrypt-level-1-exit-state", "observed": 0, "oracle": "Observed exit state satisfies the operation postconditions for level, actual scale, rows, components, domain, basis, representation, shape, dtype, and device.", "passed": true, "unit": "fields" }, { "comparison": "<=", "details": { "entry_level": 1, "nonfinite_count": 0, "operation": "decrypt", "relative_l2_error": 4.6650259725344244e-06, "rms_error": 5.5160419128193305e-08 }, "limit": 1e-05, "metric": "max_abs_error", "name": "decrypt-level-1-semantic-error", "observed": 2.5668180061209114e-06, "oracle": "All decoded slots are compared with the fixed cleartext operation after untimed canonicalization.", "passed": true, "unit": "absolute" }, { "comparison": "==", "details": { "entry_level": 1, "mismatches": {}, "observed_exit_state": { "batch_shape": [], "component_count": 2, "device": "cuda:0", "dtype": "torch.int64", "level": 1, "limb_count": 7, "modulus_basis": "Q", "polynomial_domain": "ntt", "prime_ids": [ 1, 2, 3, 4, 5, 6, 7 ], "representation": "rns", "residue_representation": "montgomery", "ring_dimension": 16384, "scale": 1099511627776.0, "value_type": "ciphertext" }, "operation": "coefficient_domain_to_ntt_domain", "predicted_exit_state": { "batch_shape": [], "component_count": 2, "device": "cuda:0", "dtype": "torch.int64", "level": 1, "limb_count": 7, "modulus_basis": "Q", "polynomial_domain": "ntt", "prime_ids": [ 1, 2, 3, 4, 5, 6, 7 ], "representation": "rns", "residue_representation": "montgomery", "ring_dimension": 16384, "scale": 1099511627776.0, "value_type": "ciphertext" } }, "limit": 0, "metric": "state_mismatch_count", "name": "coefficient_domain_to_ntt_domain-level-1-exit-state", "observed": 0, "oracle": "Observed exit state satisfies the operation postconditions for level, actual scale, rows, components, domain, basis, representation, shape, dtype, and device.", "passed": true, "unit": "fields" }, { "comparison": "<=", "details": { "entry_level": 1, "nonfinite_count": 0, "operation": "coefficient_domain_to_ntt_domain", "relative_l2_error": 4.6650259725344244e-06, "rms_error": 5.5160419128193305e-08 }, "limit": 2e-05, "metric": "max_abs_error", "name": "coefficient_domain_to_ntt_domain-level-1-semantic-error", "observed": 2.5668180061209114e-06, "oracle": "All decoded slots are compared with the fixed cleartext operation after untimed canonicalization.", "passed": true, "unit": "absolute" }, { "comparison": "==", "details": { "entry_level": 1, "mismatches": {}, "observed_exit_state": { "batch_shape": [], "component_count": 2, "device": "cuda:0", "dtype": "torch.int64", "level": 1, "limb_count": 7, "modulus_basis": "Q", "polynomial_domain": "coefficient", "prime_ids": [ 1, 2, 3, 4, 5, 6, 7 ], "representation": "rns", "residue_representation": "standard", "ring_dimension": 16384, "scale": 1099511627776.0, "value_type": "ciphertext" }, "operation": "ntt_domain_to_coefficient_domain", "predicted_exit_state": { "batch_shape": [], "component_count": 2, "device": "cuda:0", "dtype": "torch.int64", "level": 1, "limb_count": 7, "modulus_basis": "Q", "polynomial_domain": "coefficient", "prime_ids": [ 1, 2, 3, 4, 5, 6, 7 ], "representation": "rns", "residue_representation": "standard", "ring_dimension": 16384, "scale": 1099511627776.0, "value_type": "ciphertext" } }, "limit": 0, "metric": "state_mismatch_count", "name": "ntt_domain_to_coefficient_domain-level-1-exit-state", "observed": 0, "oracle": "Observed exit state satisfies the operation postconditions for level, actual scale, rows, components, domain, basis, representation, shape, dtype, and device.", "passed": true, "unit": "fields" }, { "comparison": "<=", "details": { "entry_level": 1, "nonfinite_count": 0, "operation": "ntt_domain_to_coefficient_domain", "relative_l2_error": 4.6650259725344244e-06, "rms_error": 5.5160419128193305e-08 }, "limit": 2e-05, "metric": "max_abs_error", "name": "ntt_domain_to_coefficient_domain-level-1-semantic-error", "observed": 2.5668180061209114e-06, "oracle": "All decoded slots are compared with the fixed cleartext operation after untimed canonicalization.", "passed": true, "unit": "absolute" }, { "comparison": "==", "details": { "entry_level": 1, "mismatches": {}, "observed_exit_state": { "batch_shape": [], "component_count": 2, "device": "cuda:0", "dtype": "torch.int64", "level": 1, "limb_count": 7, "modulus_basis": "Q", "polynomial_domain": "coefficient", "prime_ids": [ 1, 2, 3, 4, 5, 6, 7 ], "representation": "rns", "residue_representation": "standard", "ring_dimension": 16384, "scale": 1099511627776.0, "value_type": "ciphertext" }, "operation": "add", "predicted_exit_state": { "batch_shape": [], "component_count": 2, "device": "cuda:0", "dtype": "torch.int64", "level": 1, "limb_count": 7, "modulus_basis": "Q", "polynomial_domain": "coefficient", "prime_ids": [ 1, 2, 3, 4, 5, 6, 7 ], "representation": "rns", "residue_representation": "standard", "ring_dimension": 16384, "scale": 1099511627776.0, "value_type": "ciphertext" } }, "limit": 0, "metric": "state_mismatch_count", "name": "add-level-1-exit-state", "observed": 0, "oracle": "Observed exit state satisfies the operation postconditions for level, actual scale, rows, components, domain, basis, representation, shape, dtype, and device.", "passed": true, "unit": "fields" }, { "comparison": "<=", "details": { "entry_level": 1, "nonfinite_count": 0, "operation": "add", "relative_l2_error": 6.013629992195958e-06, "rms_error": 8.865338143796498e-08 }, "limit": 2e-05, "metric": "max_abs_error", "name": "add-level-1-semantic-error", "observed": 5.100981524848808e-06, "oracle": "All decoded slots are compared with the fixed cleartext operation after untimed canonicalization.", "passed": true, "unit": "absolute" }, { "comparison": "==", "details": { "entry_level": 1, "mismatches": {}, "observed_exit_state": { "batch_shape": [], "component_count": 2, "device": "cuda:0", "dtype": "torch.int64", "level": 1, "limb_count": 7, "modulus_basis": "Q", "polynomial_domain": "coefficient", "prime_ids": [ 1, 2, 3, 4, 5, 6, 7 ], "representation": "rns", "residue_representation": "standard", "ring_dimension": 16384, "scale": 1099511627776.0, "value_type": "ciphertext" }, "operation": "add_plaintext", "predicted_exit_state": { "batch_shape": [], "component_count": 2, "device": "cuda:0", "dtype": "torch.int64", "level": 1, "limb_count": 7, "modulus_basis": "Q", "polynomial_domain": "coefficient", "prime_ids": [ 1, 2, 3, 4, 5, 6, 7 ], "representation": "rns", "residue_representation": "standard", "ring_dimension": 16384, "scale": 1099511627776.0, "value_type": "ciphertext" } }, "limit": 0, "metric": "state_mismatch_count", "name": "add_plaintext-level-1-exit-state", "observed": 0, "oracle": "Observed exit state satisfies the operation postconditions for level, actual scale, rows, components, domain, basis, representation, shape, dtype, and device.", "passed": true, "unit": "fields" }, { "comparison": "<=", "details": { "entry_level": 1, "nonfinite_count": 0, "operation": "add_plaintext", "relative_l2_error": 3.741665249072889e-06, "rms_error": 5.515990790416214e-08 }, "limit": 2e-05, "metric": "max_abs_error", "name": "add_plaintext-level-1-semantic-error", "observed": 2.5668144331845213e-06, "oracle": "All decoded slots are compared with the fixed cleartext operation after untimed canonicalization.", "passed": true, "unit": "absolute" }, { "comparison": "==", "details": { "entry_level": 1, "mismatches": {}, "observed_exit_state": { "batch_shape": [], "component_count": 2, "device": "cuda:0", "dtype": "torch.int64", "level": 1, "limb_count": 7, "modulus_basis": "Q", "polynomial_domain": "ntt", "prime_ids": [ 1, 2, 3, 4, 5, 6, 7 ], "representation": "rns", "residue_representation": "montgomery", "ring_dimension": 16384, "scale": 1.2089258196146292e+24, "value_type": "ciphertext" }, "operation": "multiply_plaintext", "predicted_exit_state": { "batch_shape": [], "component_count": 2, "device": "cuda:0", "dtype": "torch.int64", "level": 1, "limb_count": 7, "modulus_basis": "Q", "polynomial_domain": "ntt", "prime_ids": [ 1, 2, 3, 4, 5, 6, 7 ], "representation": "rns", "residue_representation": "montgomery", "ring_dimension": 16384, "scale": 1.2089258196146292e+24, "value_type": "ciphertext" } }, "limit": 0, "metric": "state_mismatch_count", "name": "multiply_plaintext-level-1-exit-state", "observed": 0, "oracle": "Observed exit state satisfies the operation postconditions for level, actual scale, rows, components, domain, basis, representation, shape, dtype, and device.", "passed": true, "unit": "fields" }, { "comparison": "<=", "details": { "entry_level": 1, "nonfinite_count": 0, "operation": "multiply_plaintext", "relative_l2_error": 4.883633522610495e-06, "rms_error": 5.201476236192938e-10 }, "limit": 3e-05, "metric": "max_abs_error", "name": "multiply_plaintext-level-1-semantic-error", "observed": 2.6176784855011763e-08, "oracle": "All decoded slots are compared with the fixed cleartext operation after untimed canonicalization.", "passed": true, "unit": "absolute" }, { "comparison": "==", "details": { "entry_level": 1, "mismatches": {}, "observed_exit_state": { "batch_shape": [], "component_count": 3, "device": "cuda:0", "dtype": "torch.int64", "level": 1, "limb_count": 7, "modulus_basis": "Q", "polynomial_domain": "ntt", "prime_ids": [ 1, 2, 3, 4, 5, 6, 7 ], "representation": "rns", "residue_representation": "montgomery", "ring_dimension": 16384, "scale": 1.2089258196146292e+24, "value_type": "ciphertext" }, "operation": "multiply", "predicted_exit_state": { "batch_shape": [], "component_count": 3, "device": "cuda:0", "dtype": "torch.int64", "level": 1, "limb_count": 7, "modulus_basis": "Q", "polynomial_domain": "ntt", "prime_ids": [ 1, 2, 3, 4, 5, 6, 7 ], "representation": "rns", "residue_representation": "montgomery", "ring_dimension": 16384, "scale": 1.2089258196146292e+24, "value_type": "ciphertext" } }, "limit": 0, "metric": "state_mismatch_count", "name": "multiply-level-1-exit-state", "observed": 0, "oracle": "Observed exit state satisfies the operation postconditions for level, actual scale, rows, components, domain, basis, representation, shape, dtype, and device.", "passed": true, "unit": "fields" }, { "comparison": "<=", "details": { "entry_level": 1, "nonfinite_count": 0, "operation": "multiply", "relative_l2_error": 8.358771025452428e-06, "rms_error": 8.902786962079058e-10 }, "limit": 3e-05, "metric": "max_abs_error", "name": "multiply-level-1-semantic-error", "observed": 4.9545511067118664e-08, "oracle": "All decoded slots are compared with the fixed cleartext operation after untimed canonicalization.", "passed": true, "unit": "absolute" }, { "comparison": "==", "details": { "entry_level": 1, "mismatches": {}, "observed_exit_state": { "batch_shape": [], "component_count": 2, "device": "cuda:0", "dtype": "torch.int64", "level": 1, "limb_count": 7, "modulus_basis": "Q", "polynomial_domain": "coefficient", "prime_ids": [ 1, 2, 3, 4, 5, 6, 7 ], "representation": "rns", "residue_representation": "standard", "ring_dimension": 16384, "scale": 1.2089258196146292e+24, "value_type": "ciphertext" }, "operation": "relinearize", "predicted_exit_state": { "batch_shape": [], "component_count": 2, "device": "cuda:0", "dtype": "torch.int64", "level": 1, "limb_count": 7, "modulus_basis": "Q", "polynomial_domain": "coefficient", "prime_ids": [ 1, 2, 3, 4, 5, 6, 7 ], "representation": "rns", "residue_representation": "standard", "ring_dimension": 16384, "scale": 1.2089258196146292e+24, "value_type": "ciphertext" } }, "limit": 0, "metric": "state_mismatch_count", "name": "relinearize-level-1-exit-state", "observed": 0, "oracle": "Observed exit state satisfies the operation postconditions for level, actual scale, rows, components, domain, basis, representation, shape, dtype, and device.", "passed": true, "unit": "fields" }, { "comparison": "<=", "details": { "entry_level": 1, "nonfinite_count": 0, "operation": "relinearize", "relative_l2_error": 8.358771025549693e-06, "rms_error": 8.902786962182647e-10 }, "limit": 3e-05, "metric": "max_abs_error", "name": "relinearize-level-1-semantic-error", "observed": 4.9545511068605485e-08, "oracle": "All decoded slots are compared with the fixed cleartext operation after untimed canonicalization.", "passed": true, "unit": "absolute" }, { "comparison": "==", "details": { "entry_level": 1, "mismatches": {}, "observed_exit_state": { "batch_shape": [], "component_count": 2, "device": "cuda:0", "dtype": "torch.int64", "level": 1, "limb_count": 7, "modulus_basis": "Q", "polynomial_domain": "coefficient", "prime_ids": [ 1, 2, 3, 4, 5, 6, 7 ], "representation": "rns", "residue_representation": "standard", "ring_dimension": 16384, "scale": 1099511627776.0, "value_type": "ciphertext" }, "operation": "rotate_with_key", "predicted_exit_state": { "batch_shape": [], "component_count": 2, "device": "cuda:0", "dtype": "torch.int64", "level": 1, "limb_count": 7, "modulus_basis": "Q", "polynomial_domain": "coefficient", "prime_ids": [ 1, 2, 3, 4, 5, 6, 7 ], "representation": "rns", "residue_representation": "standard", "ring_dimension": 16384, "scale": 1099511627776.0, "value_type": "ciphertext" } }, "limit": 0, "metric": "state_mismatch_count", "name": "rotate_with_key-level-1-exit-state", "observed": 0, "oracle": "Observed exit state satisfies the operation postconditions for level, actual scale, rows, components, domain, basis, representation, shape, dtype, and device.", "passed": true, "unit": "fields" }, { "comparison": "<=", "details": { "entry_level": 1, "nonfinite_count": 0, "operation": "rotate_with_key", "relative_l2_error": 5.016238356542032e-06, "rms_error": 5.93132410886564e-08 }, "limit": 2e-05, "metric": "max_abs_error", "name": "rotate_with_key-level-1-semantic-error", "observed": 2.561311945789065e-06, "oracle": "All decoded slots are compared with the fixed cleartext operation after untimed canonicalization.", "passed": true, "unit": "absolute" }, { "comparison": "==", "details": { "entry_level": 1, "mismatches": {}, "observed_exit_state": { "batch_shape": [], "component_count": 2, "device": "cuda:0", "dtype": "torch.int64", "level": 2, "limb_count": 6, "modulus_basis": "Q", "polynomial_domain": "coefficient", "prime_ids": [ 2, 3, 4, 5, 6, 7 ], "representation": "rns", "residue_representation": "standard", "ring_dimension": 16384, "scale": 1099511627776.0, "value_type": "ciphertext" }, "operation": "rescale_to_next_level", "predicted_exit_state": { "batch_shape": [], "component_count": 2, "device": "cuda:0", "dtype": "torch.int64", "level": 2, "limb_count": 6, "modulus_basis": "Q", "polynomial_domain": "coefficient", "prime_ids": [ 2, 3, 4, 5, 6, 7 ], "representation": "rns", "residue_representation": "standard", "ring_dimension": 16384, "scale": 1099511627776.0, "value_type": "ciphertext" } }, "limit": 0, "metric": "state_mismatch_count", "name": "rescale_to_next_level-level-1-exit-state", "observed": 0, "oracle": "Observed exit state satisfies the operation postconditions for level, actual scale, rows, components, domain, basis, representation, shape, dtype, and device.", "passed": true, "unit": "fields" }, { "comparison": "<=", "details": { "entry_level": 1, "nonfinite_count": 0, "operation": "rescale_to_next_level", "relative_l2_error": 4.6650259725344244e-06, "rms_error": 5.5160419128193305e-08 }, "limit": 3e-05, "metric": "max_abs_error", "name": "rescale_to_next_level-level-1-semantic-error", "observed": 2.5668180061209114e-06, "oracle": "All decoded slots are compared with the fixed cleartext operation after untimed canonicalization.", "passed": true, "unit": "absolute" }, { "comparison": "==", "details": { "entry_level": 1, "mismatches": {}, "observed_exit_state": { "batch_shape": [], "component_count": 2, "device": "cuda:0", "dtype": "torch.int64", "level": 2, "limb_count": 6, "modulus_basis": "Q", "polynomial_domain": "coefficient", "prime_ids": [ 2, 3, 4, 5, 6, 7 ], "representation": "rns", "residue_representation": "standard", "ring_dimension": 16384, "scale": 1099511627776.0, "value_type": "ciphertext" }, "operation": "mod_switch_to_next_level", "predicted_exit_state": { "batch_shape": [], "component_count": 2, "device": "cuda:0", "dtype": "torch.int64", "level": 2, "limb_count": 6, "modulus_basis": "Q", "polynomial_domain": "coefficient", "prime_ids": [ 2, 3, 4, 5, 6, 7 ], "representation": "rns", "residue_representation": "standard", "ring_dimension": 16384, "scale": 1099511627776.0, "value_type": "ciphertext" } }, "limit": 0, "metric": "state_mismatch_count", "name": "mod_switch_to_next_level-level-1-exit-state", "observed": 0, "oracle": "Observed exit state satisfies the operation postconditions for level, actual scale, rows, components, domain, basis, representation, shape, dtype, and device.", "passed": true, "unit": "fields" }, { "comparison": "<=", "details": { "entry_level": 1, "nonfinite_count": 0, "operation": "mod_switch_to_next_level", "relative_l2_error": 4.6650259725344244e-06, "rms_error": 5.5160419128193305e-08 }, "limit": 2e-05, "metric": "max_abs_error", "name": "mod_switch_to_next_level-level-1-semantic-error", "observed": 2.5668180061209114e-06, "oracle": "All decoded slots are compared with the fixed cleartext operation after untimed canonicalization.", "passed": true, "unit": "absolute" }, { "comparison": "==", "details": { "entry_level": 2, "mismatches": {}, "observed_exit_state": { "batch_shape": [], "component_count": 2, "device": "cuda:0", "dtype": "torch.int64", "level": 2, "limb_count": 6, "modulus_basis": "Q", "polynomial_domain": "coefficient", "prime_ids": [ 2, 3, 4, 5, 6, 7 ], "representation": "rns", "residue_representation": "standard", "ring_dimension": 16384, "scale": 1099511627776.0, "value_type": "ciphertext" }, "operation": "encrypt", "predicted_exit_state": { "batch_shape": [], "component_count": 2, "device": "cuda:0", "dtype": "torch.int64", "level": 2, "limb_count": 6, "modulus_basis": "Q", "polynomial_domain": "coefficient", "prime_ids": [ 2, 3, 4, 5, 6, 7 ], "representation": "rns", "residue_representation": "standard", "ring_dimension": 16384, "scale": 1099511627776.0, "value_type": "ciphertext" } }, "limit": 0, "metric": "state_mismatch_count", "name": "encrypt-level-2-exit-state", "observed": 0, "oracle": "Observed exit state satisfies the operation postconditions for level, actual scale, rows, components, domain, basis, representation, shape, dtype, and device.", "passed": true, "unit": "fields" }, { "comparison": "<=", "details": { "entry_level": 2, "nonfinite_count": 0, "operation": "encrypt", "relative_l2_error": 4.638173875132516e-06, "rms_error": 5.484291329738322e-08 }, "limit": 1e-05, "metric": "max_abs_error", "name": "encrypt-level-2-semantic-error", "observed": 2.579241101198864e-06, "oracle": "All decoded slots are compared with the fixed cleartext operation after untimed canonicalization.", "passed": true, "unit": "absolute" }, { "comparison": "==", "details": { "entry_level": 2, "mismatches": {}, "observed_exit_state": { "batch_shape": [], 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"entry_level": 2, "mismatches": {}, "observed_exit_state": { "batch_shape": [], "component_count": 2, "device": "cuda:0", "dtype": "torch.int64", "level": 2, "limb_count": 6, "modulus_basis": "Q", "polynomial_domain": "coefficient", "prime_ids": [ 2, 3, 4, 5, 6, 7 ], "representation": "rns", "residue_representation": "standard", "ring_dimension": 16384, "scale": 1099511627776.0, "value_type": "ciphertext" }, "operation": "add", "predicted_exit_state": { "batch_shape": [], "component_count": 2, "device": "cuda:0", "dtype": "torch.int64", "level": 2, "limb_count": 6, "modulus_basis": "Q", "polynomial_domain": "coefficient", "prime_ids": [ 2, 3, 4, 5, 6, 7 ], "representation": "rns", "residue_representation": "standard", "ring_dimension": 16384, "scale": 1099511627776.0, "value_type": "ciphertext" } }, "limit": 0, "metric": "state_mismatch_count", "name": "add-level-2-exit-state", "observed": 0, "oracle": "Observed exit state satisfies the operation postconditions for level, actual scale, 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"add_plaintext-level-2-semantic-error", "observed": 2.6012490067965907e-06, "oracle": "All decoded slots are compared with the fixed cleartext operation after untimed canonicalization.", "passed": true, "unit": "absolute" }, { "comparison": "==", "details": { "entry_level": 2, "mismatches": {}, "observed_exit_state": { "batch_shape": [], "component_count": 2, "device": "cuda:0", "dtype": "torch.int64", "level": 2, "limb_count": 6, "modulus_basis": "Q", "polynomial_domain": "ntt", "prime_ids": [ 2, 3, 4, 5, 6, 7 ], "representation": "rns", "residue_representation": "montgomery", "ring_dimension": 16384, "scale": 1.2089258196146292e+24, "value_type": "ciphertext" }, "operation": "multiply_plaintext", "predicted_exit_state": { "batch_shape": [], "component_count": 2, "device": "cuda:0", "dtype": "torch.int64", "level": 2, "limb_count": 6, "modulus_basis": "Q", "polynomial_domain": "ntt", "prime_ids": [ 2, 3, 4, 5, 6, 7 ], "representation": "rns", "residue_representation": "montgomery", 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"component_count": 3, "device": "cuda:0", "dtype": "torch.int64", "level": 2, "limb_count": 6, "modulus_basis": "Q", "polynomial_domain": "ntt", "prime_ids": [ 2, 3, 4, 5, 6, 7 ], "representation": "rns", "residue_representation": "montgomery", "ring_dimension": 16384, "scale": 1.2089258196146292e+24, "value_type": "ciphertext" }, "operation": "multiply", "predicted_exit_state": { "batch_shape": [], "component_count": 3, "device": "cuda:0", "dtype": "torch.int64", "level": 2, "limb_count": 6, "modulus_basis": "Q", "polynomial_domain": "ntt", "prime_ids": [ 2, 3, 4, 5, 6, 7 ], "representation": "rns", "residue_representation": "montgomery", "ring_dimension": 16384, "scale": 1.2089258196146292e+24, "value_type": "ciphertext" } }, "limit": 0, "metric": "state_mismatch_count", "name": "multiply-level-2-exit-state", "observed": 0, "oracle": "Observed exit state satisfies the operation postconditions for level, actual scale, rows, components, domain, basis, representation, shape, dtype, and 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5.034556776265643e-08, "oracle": "All decoded slots are compared with the fixed cleartext operation after untimed canonicalization.", "passed": true, "unit": "absolute" }, { "comparison": "==", "details": { "entry_level": 2, "mismatches": {}, "observed_exit_state": { "batch_shape": [], "component_count": 2, "device": "cuda:0", "dtype": "torch.int64", "level": 2, "limb_count": 6, "modulus_basis": "Q", "polynomial_domain": "coefficient", "prime_ids": [ 2, 3, 4, 5, 6, 7 ], "representation": "rns", "residue_representation": "standard", "ring_dimension": 16384, "scale": 1099511627776.0, "value_type": "ciphertext" }, "operation": "rotate_with_key", "predicted_exit_state": { "batch_shape": [], "component_count": 2, "device": "cuda:0", "dtype": "torch.int64", "level": 2, "limb_count": 6, "modulus_basis": "Q", "polynomial_domain": "coefficient", "prime_ids": [ 2, 3, 4, 5, 6, 7 ], "representation": "rns", "residue_representation": "standard", "ring_dimension": 16384, "scale": 1099511627776.0, "value_type": "ciphertext" } }, "limit": 0, "metric": "state_mismatch_count", "name": "rotate_with_key-level-2-exit-state", "observed": 0, "oracle": "Observed exit state satisfies the operation postconditions for level, actual scale, rows, components, domain, basis, representation, shape, dtype, and device.", "passed": true, "unit": "fields" }, { "comparison": "<=", "details": { "entry_level": 2, "nonfinite_count": 0, "operation": "rotate_with_key", "relative_l2_error": 5.003580306313625e-06, "rms_error": 5.916356917684808e-08 }, "limit": 2e-05, "metric": "max_abs_error", "name": "rotate_with_key-level-2-semantic-error", "observed": 2.613583163219861e-06, "oracle": "All decoded slots are compared with the fixed cleartext operation after untimed canonicalization.", "passed": true, "unit": "absolute" }, { "comparison": "==", "details": { "entry_level": 2, "mismatches": {}, "observed_exit_state": { "batch_shape": [], "component_count": 2, "device": "cuda:0", "dtype": "torch.int64", 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"comparison": "<=", "details": { "entry_level": 2, "nonfinite_count": 0, "operation": "rescale_to_next_level", "relative_l2_error": 4.644382992314148e-06, "rms_error": 5.491633143228135e-08 }, "limit": 3e-05, "metric": "max_abs_error", "name": "rescale_to_next_level-level-2-semantic-error", "observed": 2.6012627146301705e-06, "oracle": "All decoded slots are compared with the fixed cleartext operation after untimed canonicalization.", "passed": true, "unit": "absolute" }, { "comparison": "==", "details": { "entry_level": 2, "mismatches": {}, "observed_exit_state": { "batch_shape": [], "component_count": 2, "device": "cuda:0", "dtype": "torch.int64", "level": 3, "limb_count": 5, "modulus_basis": "Q", "polynomial_domain": "coefficient", "prime_ids": [ 3, 4, 5, 6, 7 ], "representation": "rns", "residue_representation": "standard", "ring_dimension": 16384, "scale": 1099511627776.0, "value_type": "ciphertext" }, "operation": "mod_switch_to_next_level", "predicted_exit_state": { "batch_shape": [], "component_count": 2, "device": "cuda:0", "dtype": "torch.int64", "level": 3, "limb_count": 5, "modulus_basis": "Q", "polynomial_domain": "coefficient", "prime_ids": [ 3, 4, 5, 6, 7 ], "representation": "rns", "residue_representation": "standard", "ring_dimension": 16384, "scale": 1099511627776.0, "value_type": "ciphertext" } }, "limit": 0, "metric": "state_mismatch_count", "name": "mod_switch_to_next_level-level-2-exit-state", "observed": 0, "oracle": "Observed exit state satisfies the operation postconditions for level, actual scale, rows, components, domain, basis, representation, shape, dtype, and device.", "passed": true, "unit": "fields" }, { "comparison": "<=", "details": { "entry_level": 2, "nonfinite_count": 0, "operation": "mod_switch_to_next_level", "relative_l2_error": 4.644382992314148e-06, "rms_error": 5.491633143228135e-08 }, "limit": 2e-05, "metric": "max_abs_error", "name": "mod_switch_to_next_level-level-2-semantic-error", "observed": 2.6012627146301705e-06, "oracle": "All decoded slots are compared with the fixed cleartext operation after untimed canonicalization.", "passed": true, "unit": "absolute" }, { "comparison": "==", "details": { "entry_level": 3, "mismatches": {}, "observed_exit_state": { "batch_shape": [], "component_count": 2, "device": "cuda:0", "dtype": "torch.int64", "level": 3, "limb_count": 5, "modulus_basis": "Q", "polynomial_domain": "coefficient", "prime_ids": [ 3, 4, 5, 6, 7 ], "representation": "rns", "residue_representation": "standard", "ring_dimension": 16384, "scale": 1099511627776.0, "value_type": "ciphertext" }, "operation": "encrypt", "predicted_exit_state": { "batch_shape": [], "component_count": 2, "device": "cuda:0", "dtype": "torch.int64", "level": 3, "limb_count": 5, "modulus_basis": "Q", "polynomial_domain": "coefficient", "prime_ids": [ 3, 4, 5, 6, 7 ], "representation": "rns", "residue_representation": "standard", "ring_dimension": 16384, "scale": 1099511627776.0, "value_type": "ciphertext" } }, "limit": 0, "metric": "state_mismatch_count", "name": "encrypt-level-3-exit-state", "observed": 0, "oracle": "Observed exit state satisfies the operation postconditions for level, actual scale, rows, components, domain, basis, representation, shape, dtype, and device.", "passed": true, "unit": "fields" }, { "comparison": "<=", "details": { "entry_level": 3, "nonfinite_count": 0, "operation": "encrypt", "relative_l2_error": 4.626034194908101e-06, "rms_error": 5.469937072051357e-08 }, "limit": 1e-05, "metric": "max_abs_error", "name": "encrypt-level-3-semantic-error", "observed": 2.5937933014869438e-06, "oracle": "All decoded slots are compared with the fixed cleartext operation after untimed canonicalization.", "passed": true, "unit": "absolute" }, { "comparison": "==", "details": { "entry_level": 3, "mismatches": {}, "observed_exit_state": { "batch_shape": [], "component_count": null, "device": "cuda:0", "dtype": "torch.float64", "level": 3, "limb_count": null, 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3, "nonfinite_count": 0, "operation": "decrypt", "relative_l2_error": 4.658091131696229e-06, "rms_error": 5.507841985756236e-08 }, "limit": 1e-05, "metric": "max_abs_error", "name": "decrypt-level-3-semantic-error", "observed": 2.600835732805084e-06, "oracle": "All decoded slots are compared with the fixed cleartext operation after untimed canonicalization.", "passed": true, "unit": "absolute" }, { "comparison": "==", "details": { "entry_level": 3, "mismatches": {}, "observed_exit_state": { "batch_shape": [], "component_count": 2, "device": "cuda:0", "dtype": "torch.int64", "level": 3, "limb_count": 5, "modulus_basis": "Q", "polynomial_domain": "ntt", "prime_ids": [ 3, 4, 5, 6, 7 ], "representation": "rns", "residue_representation": "montgomery", "ring_dimension": 16384, "scale": 1099511627776.0, "value_type": "ciphertext" }, "operation": "coefficient_domain_to_ntt_domain", "predicted_exit_state": { "batch_shape": [], "component_count": 2, "device": "cuda:0", "dtype": "torch.int64", 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"state_mismatch_count", "name": "ntt_domain_to_coefficient_domain-level-3-exit-state", "observed": 0, "oracle": "Observed exit state satisfies the operation postconditions for level, actual scale, rows, components, domain, basis, representation, shape, dtype, and device.", "passed": true, "unit": "fields" }, { "comparison": "<=", "details": { "entry_level": 3, "nonfinite_count": 0, "operation": "ntt_domain_to_coefficient_domain", "relative_l2_error": 4.658091131696229e-06, "rms_error": 5.507841985756236e-08 }, "limit": 2e-05, "metric": "max_abs_error", "name": "ntt_domain_to_coefficient_domain-level-3-semantic-error", "observed": 2.600835732805084e-06, "oracle": "All decoded slots are compared with the fixed cleartext operation after untimed canonicalization.", "passed": true, "unit": "absolute" }, { "comparison": "==", "details": { "entry_level": 3, "mismatches": {}, "observed_exit_state": { "batch_shape": [], "component_count": 2, "device": "cuda:0", "dtype": "torch.int64", "level": 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"entry_level": 3, "nonfinite_count": 0, "operation": "add", "relative_l2_error": 6.010214768315953e-06, "rms_error": 8.86030339530475e-08 }, "limit": 2e-05, "metric": "max_abs_error", "name": "add-level-3-semantic-error", "observed": 5.127523061203115e-06, "oracle": "All decoded slots are compared with the fixed cleartext operation after untimed canonicalization.", "passed": true, "unit": "absolute" }, { "comparison": "==", "details": { "entry_level": 3, "mismatches": {}, "observed_exit_state": { "batch_shape": [], "component_count": 2, "device": "cuda:0", "dtype": "torch.int64", "level": 3, "limb_count": 5, "modulus_basis": "Q", "polynomial_domain": "coefficient", "prime_ids": [ 3, 4, 5, 6, 7 ], "representation": "rns", "residue_representation": "standard", "ring_dimension": 16384, "scale": 1099511627776.0, "value_type": "ciphertext" }, "operation": "add_plaintext", "predicted_exit_state": { "batch_shape": [], "component_count": 2, "device": "cuda:0", "dtype": "torch.int64", "level": 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"passed": true, "unit": "absolute" }, { "comparison": "==", "details": { "entry_level": 3, "mismatches": {}, "observed_exit_state": { "batch_shape": [], "component_count": 2, "device": "cuda:0", "dtype": "torch.int64", "level": 3, "limb_count": 5, "modulus_basis": "Q", "polynomial_domain": "ntt", "prime_ids": [ 3, 4, 5, 6, 7 ], "representation": "rns", "residue_representation": "montgomery", "ring_dimension": 16384, "scale": 1.2089258196146292e+24, "value_type": "ciphertext" }, "operation": "multiply_plaintext", "predicted_exit_state": { "batch_shape": [], "component_count": 2, "device": "cuda:0", "dtype": "torch.int64", "level": 3, "limb_count": 5, "modulus_basis": "Q", "polynomial_domain": "ntt", "prime_ids": [ 3, 4, 5, 6, 7 ], "representation": "rns", "residue_representation": "montgomery", "ring_dimension": 16384, "scale": 1.2089258196146292e+24, "value_type": "ciphertext" } }, "limit": 0, "metric": "state_mismatch_count", "name": "multiply_plaintext-level-3-exit-state", "observed": 0, "oracle": "Observed exit state satisfies the operation postconditions for level, actual scale, rows, components, domain, basis, representation, shape, dtype, and device.", "passed": true, "unit": "fields" }, { "comparison": "<=", "details": { "entry_level": 3, "nonfinite_count": 0, "operation": "multiply_plaintext", "relative_l2_error": 4.846581814428926e-06, "rms_error": 5.162013082636375e-10 }, "limit": 3e-05, "metric": "max_abs_error", "name": "multiply_plaintext-level-3-semantic-error", "observed": 2.6523402668704114e-08, "oracle": "All decoded slots are compared with the fixed cleartext operation after untimed canonicalization.", "passed": true, "unit": "absolute" }, { "comparison": "==", "details": { "entry_level": 3, "mismatches": {}, "observed_exit_state": { "batch_shape": [], "component_count": 3, "device": "cuda:0", "dtype": "torch.int64", "level": 3, "limb_count": 5, "modulus_basis": "Q", "polynomial_domain": "ntt", "prime_ids": [ 3, 4, 5, 6, 7 ], "representation": "rns", "residue_representation": "montgomery", "ring_dimension": 16384, "scale": 1.2089258196146292e+24, "value_type": "ciphertext" }, "operation": "multiply", "predicted_exit_state": { "batch_shape": [], "component_count": 3, "device": "cuda:0", "dtype": "torch.int64", "level": 3, "limb_count": 5, "modulus_basis": "Q", "polynomial_domain": "ntt", "prime_ids": [ 3, 4, 5, 6, 7 ], "representation": "rns", "residue_representation": "montgomery", "ring_dimension": 16384, "scale": 1.2089258196146292e+24, "value_type": "ciphertext" } }, "limit": 0, "metric": "state_mismatch_count", "name": "multiply-level-3-exit-state", "observed": 0, "oracle": "Observed exit state satisfies the operation postconditions for level, actual scale, rows, components, domain, basis, representation, shape, dtype, and device.", "passed": true, "unit": "fields" }, { "comparison": "<=", "details": { "entry_level": 3, "nonfinite_count": 0, "operation": "multiply", "relative_l2_error": 8.286106343787822e-06, "rms_error": 8.825393027186302e-10 }, "limit": 3e-05, "metric": "max_abs_error", "name": "multiply-level-3-semantic-error", "observed": 4.953342259691456e-08, "oracle": "All decoded slots are compared with the fixed cleartext operation after untimed canonicalization.", "passed": true, "unit": "absolute" }, { "comparison": "==", "details": { "entry_level": 3, "mismatches": {}, "observed_exit_state": { "batch_shape": [], "component_count": 2, "device": "cuda:0", "dtype": "torch.int64", "level": 3, "limb_count": 5, "modulus_basis": "Q", "polynomial_domain": "coefficient", "prime_ids": [ 3, 4, 5, 6, 7 ], "representation": "rns", "residue_representation": "standard", "ring_dimension": 16384, "scale": 1.2089258196146292e+24, "value_type": "ciphertext" }, "operation": "relinearize", "predicted_exit_state": { "batch_shape": [], "component_count": 2, "device": "cuda:0", "dtype": "torch.int64", "level": 3, "limb_count": 5, "modulus_basis": "Q", "polynomial_domain": 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"details": { "entry_level": 3, "mismatches": {}, "observed_exit_state": { "batch_shape": [], "component_count": 2, "device": "cuda:0", "dtype": "torch.int64", "level": 3, "limb_count": 5, "modulus_basis": "Q", "polynomial_domain": "coefficient", "prime_ids": [ 3, 4, 5, 6, 7 ], "representation": "rns", "residue_representation": "standard", "ring_dimension": 16384, "scale": 1099511627776.0, "value_type": "ciphertext" }, "operation": "rotate_with_key", "predicted_exit_state": { "batch_shape": [], "component_count": 2, "device": "cuda:0", "dtype": "torch.int64", "level": 3, "limb_count": 5, "modulus_basis": "Q", "polynomial_domain": "coefficient", "prime_ids": [ 3, 4, 5, 6, 7 ], "representation": "rns", "residue_representation": "standard", "ring_dimension": 16384, "scale": 1099511627776.0, "value_type": "ciphertext" } }, "limit": 0, "metric": "state_mismatch_count", "name": "rotate_with_key-level-3-exit-state", "observed": 0, "oracle": "Observed exit state satisfies the operation postconditions for level, actual scale, rows, components, domain, basis, representation, shape, dtype, and device.", "passed": true, "unit": "fields" }, { "comparison": "<=", "details": { "entry_level": 3, "nonfinite_count": 0, "operation": "rotate_with_key", "relative_l2_error": 5.0434100425810134e-06, "rms_error": 5.963452581443372e-08 }, "limit": 2e-05, "metric": "max_abs_error", "name": "rotate_with_key-level-3-semantic-error", "observed": 2.5943803399081612e-06, "oracle": "All decoded slots are compared with the fixed cleartext operation after untimed canonicalization.", "passed": true, "unit": "absolute" }, { "comparison": "==", "details": { "entry_level": 3, "mismatches": {}, "observed_exit_state": { "batch_shape": [], "component_count": 2, "device": "cuda:0", "dtype": "torch.int64", "level": 4, "limb_count": 4, "modulus_basis": "Q", "polynomial_domain": "coefficient", "prime_ids": [ 4, 5, 6, 7 ], "representation": "rns", "residue_representation": "standard", "ring_dimension": 16384, "scale": 1099511627776.0, "value_type": "ciphertext" }, "operation": "rescale_to_next_level", "predicted_exit_state": { "batch_shape": [], "component_count": 2, "device": "cuda:0", "dtype": "torch.int64", "level": 4, "limb_count": 4, "modulus_basis": "Q", "polynomial_domain": "coefficient", "prime_ids": [ 4, 5, 6, 7 ], "representation": "rns", "residue_representation": "standard", "ring_dimension": 16384, "scale": 1099511627776.0, "value_type": "ciphertext" } }, "limit": 0, "metric": "state_mismatch_count", "name": "rescale_to_next_level-level-3-exit-state", "observed": 0, "oracle": "Observed exit state satisfies the operation postconditions for level, actual scale, rows, components, domain, basis, representation, shape, dtype, and device.", "passed": true, "unit": "fields" }, { "comparison": "<=", "details": { "entry_level": 3, "nonfinite_count": 0, "operation": "rescale_to_next_level", "relative_l2_error": 4.658091131696229e-06, "rms_error": 5.507841985756236e-08 }, "limit": 3e-05, "metric": "max_abs_error", "name": "rescale_to_next_level-level-3-semantic-error", "observed": 2.600835732805084e-06, "oracle": "All decoded slots are compared with the fixed cleartext operation after untimed canonicalization.", "passed": true, "unit": "absolute" }, { "comparison": "==", "details": { "entry_level": 3, "mismatches": {}, "observed_exit_state": { "batch_shape": [], "component_count": 2, "device": "cuda:0", "dtype": "torch.int64", "level": 4, "limb_count": 4, "modulus_basis": "Q", "polynomial_domain": "coefficient", "prime_ids": [ 4, 5, 6, 7 ], "representation": "rns", "residue_representation": "standard", "ring_dimension": 16384, "scale": 1099511627776.0, "value_type": "ciphertext" }, "operation": "mod_switch_to_next_level", "predicted_exit_state": { "batch_shape": [], "component_count": 2, "device": "cuda:0", "dtype": "torch.int64", "level": 4, "limb_count": 4, "modulus_basis": "Q", "polynomial_domain": "coefficient", "prime_ids": [ 4, 5, 6, 7 ], "representation": "rns", "residue_representation": "standard", "ring_dimension": 16384, "scale": 1099511627776.0, "value_type": "ciphertext" } }, "limit": 0, "metric": "state_mismatch_count", "name": "mod_switch_to_next_level-level-3-exit-state", "observed": 0, "oracle": "Observed exit state satisfies the operation postconditions for level, actual scale, rows, components, domain, basis, representation, shape, dtype, and device.", "passed": true, "unit": "fields" }, { "comparison": "<=", "details": { "entry_level": 3, "nonfinite_count": 0, "operation": "mod_switch_to_next_level", "relative_l2_error": 4.658091131696229e-06, "rms_error": 5.507841985756236e-08 }, "limit": 2e-05, "metric": "max_abs_error", "name": "mod_switch_to_next_level-level-3-semantic-error", "observed": 2.600835732805084e-06, "oracle": "All decoded slots are compared with the fixed cleartext operation after untimed canonicalization.", "passed": true, "unit": "absolute" }, { "comparison": "==", "details": { "entry_level": 4, "mismatches": {}, "observed_exit_state": { "batch_shape": [], "component_count": 2, "device": "cuda:0", "dtype": "torch.int64", "level": 4, "limb_count": 4, "modulus_basis": "Q", "polynomial_domain": "coefficient", "prime_ids": [ 4, 5, 6, 7 ], "representation": "rns", "residue_representation": "standard", "ring_dimension": 16384, "scale": 1099511627776.0, "value_type": "ciphertext" }, "operation": "encrypt", "predicted_exit_state": { "batch_shape": [], "component_count": 2, "device": "cuda:0", "dtype": "torch.int64", "level": 4, "limb_count": 4, "modulus_basis": "Q", "polynomial_domain": "coefficient", "prime_ids": [ 4, 5, 6, 7 ], "representation": "rns", "residue_representation": "standard", "ring_dimension": 16384, "scale": 1099511627776.0, "value_type": "ciphertext" } }, "limit": 0, "metric": "state_mismatch_count", "name": "encrypt-level-4-exit-state", "observed": 0, "oracle": "Observed exit state satisfies the operation postconditions for level, actual scale, rows, components, domain, basis, representation, shape, dtype, and device.", "passed": true, "unit": "fields" }, { "comparison": "<=", "details": { "entry_level": 4, "nonfinite_count": 0, "operation": "encrypt", "relative_l2_error": 4.617473907039808e-06, "rms_error": 5.459815176279441e-08 }, "limit": 1e-05, "metric": "max_abs_error", "name": "encrypt-level-4-semantic-error", "observed": 2.6068397104684956e-06, "oracle": "All decoded slots are compared with the fixed cleartext operation after untimed canonicalization.", "passed": true, "unit": "absolute" }, { "comparison": "==", "details": { "entry_level": 4, "mismatches": {}, "observed_exit_state": { "batch_shape": [], "component_count": null, "device": "cuda:0", "dtype": "torch.float64", "level": 4, "limb_count": null, "modulus_basis": null, "polynomial_domain": "coefficient", "prime_ids": [], "representation": "approximate_coefficients", "residue_representation": null, "ring_dimension": 16384, "scale": 1099511627776.0, "value_type": "plaintext" }, "operation": "decrypt", "predicted_exit_state": { "batch_shape": [], "component_count": null, "device": "cuda:0", "dtype": "torch.float64", "level": 4, "limb_count": null, "modulus_basis": null, "polynomial_domain": "coefficient", "prime_ids": [], "representation": "approximate_coefficients", "residue_representation": null, "ring_dimension": 16384, "scale": 1099511627776.0, "value_type": "plaintext" } }, "limit": 0, "metric": "state_mismatch_count", "name": "decrypt-level-4-exit-state", "observed": 0, "oracle": "Observed exit state satisfies the operation postconditions for level, actual scale, rows, components, domain, basis, representation, shape, dtype, and device.", "passed": true, "unit": "fields" }, { "comparison": "<=", "details": { "entry_level": 4, "nonfinite_count": 0, "operation": "decrypt", "relative_l2_error": 4.635067476914754e-06, "rms_error": 5.480618247773083e-08 }, "limit": 1e-05, "metric": "max_abs_error", "name": "decrypt-level-4-semantic-error", "observed": 2.525191215776654e-06, "oracle": "All decoded slots are compared with the fixed cleartext operation after untimed canonicalization.", "passed": true, "unit": "absolute" }, { "comparison": "==", "details": { "entry_level": 4, "mismatches": {}, "observed_exit_state": { "batch_shape": [], "component_count": 2, "device": "cuda:0", "dtype": "torch.int64", "level": 4, "limb_count": 4, "modulus_basis": "Q", "polynomial_domain": "ntt", "prime_ids": [ 4, 5, 6, 7 ], "representation": "rns", "residue_representation": "montgomery", "ring_dimension": 16384, "scale": 1099511627776.0, "value_type": "ciphertext" }, "operation": "coefficient_domain_to_ntt_domain", "predicted_exit_state": { "batch_shape": [], "component_count": 2, "device": "cuda:0", "dtype": "torch.int64", "level": 4, "limb_count": 4, "modulus_basis": "Q", "polynomial_domain": "ntt", "prime_ids": [ 4, 5, 6, 7 ], "representation": "rns", "residue_representation": "montgomery", "ring_dimension": 16384, "scale": 1099511627776.0, "value_type": "ciphertext" } }, "limit": 0, "metric": "state_mismatch_count", "name": "coefficient_domain_to_ntt_domain-level-4-exit-state", "observed": 0, "oracle": "Observed exit state satisfies the operation postconditions for level, actual scale, rows, components, domain, basis, representation, shape, dtype, and device.", "passed": true, "unit": "fields" }, { "comparison": "<=", "details": { "entry_level": 4, "nonfinite_count": 0, "operation": "coefficient_domain_to_ntt_domain", "relative_l2_error": 4.635067476914754e-06, "rms_error": 5.480618247773083e-08 }, "limit": 2e-05, "metric": "max_abs_error", "name": "coefficient_domain_to_ntt_domain-level-4-semantic-error", "observed": 2.525191215776654e-06, "oracle": "All decoded slots are compared with the fixed cleartext operation after untimed canonicalization.", "passed": true, "unit": "absolute" }, { "comparison": "==", "details": { "entry_level": 4, "mismatches": {}, "observed_exit_state": { "batch_shape": [], "component_count": 2, "device": "cuda:0", "dtype": "torch.int64", "level": 4, "limb_count": 4, "modulus_basis": "Q", "polynomial_domain": "coefficient", "prime_ids": [ 4, 5, 6, 7 ], "representation": "rns", "residue_representation": "standard", "ring_dimension": 16384, "scale": 1099511627776.0, "value_type": "ciphertext" }, "operation": "ntt_domain_to_coefficient_domain", "predicted_exit_state": { "batch_shape": [], "component_count": 2, "device": "cuda:0", "dtype": "torch.int64", "level": 4, "limb_count": 4, "modulus_basis": "Q", "polynomial_domain": "coefficient", "prime_ids": [ 4, 5, 6, 7 ], "representation": "rns", "residue_representation": "standard", "ring_dimension": 16384, "scale": 1099511627776.0, "value_type": "ciphertext" } }, "limit": 0, "metric": "state_mismatch_count", "name": "ntt_domain_to_coefficient_domain-level-4-exit-state", "observed": 0, "oracle": "Observed exit state satisfies the operation postconditions for level, actual scale, rows, components, domain, basis, representation, shape, 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"name": "multiply-level-5-exit-state", "observed": 0, "oracle": "Observed exit state satisfies the operation postconditions for level, actual scale, rows, components, domain, basis, representation, shape, dtype, and device.", "passed": true, "unit": "fields" }, { "comparison": "<=", "details": { "entry_level": 5, "nonfinite_count": 0, "operation": "multiply", "relative_l2_error": 8.296261785727076e-06, "rms_error": 8.836209418234179e-10 }, "limit": 3e-05, "metric": "max_abs_error", "name": "multiply-level-5-semantic-error", "observed": 5.021981752577391e-08, "oracle": "All decoded slots are compared with the fixed cleartext operation after untimed canonicalization.", "passed": true, "unit": "absolute" }, { "comparison": "==", "details": { "entry_level": 5, "mismatches": {}, "observed_exit_state": { "batch_shape": [], "component_count": 2, "device": "cuda:0", "dtype": "torch.int64", "level": 5, "limb_count": 3, "modulus_basis": "Q", "polynomial_domain": "coefficient", "prime_ids": [ 5, 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8.296261785829239e-06, "rms_error": 8.836209418342986e-10 }, "limit": 3e-05, "metric": "max_abs_error", "name": "relinearize-level-5-semantic-error", "observed": 5.021981752721487e-08, "oracle": "All decoded slots are compared with the fixed cleartext operation after untimed canonicalization.", "passed": true, "unit": "absolute" }, { "comparison": "==", "details": { "entry_level": 5, "mismatches": {}, "observed_exit_state": { "batch_shape": [], "component_count": 2, "device": "cuda:0", "dtype": "torch.int64", "level": 5, "limb_count": 3, "modulus_basis": "Q", "polynomial_domain": "coefficient", "prime_ids": [ 5, 6, 7 ], "representation": "rns", "residue_representation": "standard", "ring_dimension": 16384, "scale": 1099511627776.0, "value_type": "ciphertext" }, "operation": "rotate_with_key", "predicted_exit_state": { "batch_shape": [], "component_count": 2, "device": "cuda:0", "dtype": "torch.int64", "level": 5, "limb_count": 3, "modulus_basis": "Q", "polynomial_domain": 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{ "entry_level": 5, "mismatches": {}, "observed_exit_state": { "batch_shape": [], "component_count": 2, "device": "cuda:0", "dtype": "torch.int64", "level": 6, "limb_count": 2, "modulus_basis": "Q", "polynomial_domain": "coefficient", "prime_ids": [ 6, 7 ], "representation": "rns", "residue_representation": "standard", "ring_dimension": 16384, "scale": 1099511627776.0, "value_type": "ciphertext" }, "operation": "rescale_to_next_level", "predicted_exit_state": { "batch_shape": [], "component_count": 2, "device": "cuda:0", "dtype": "torch.int64", "level": 6, "limb_count": 2, "modulus_basis": "Q", "polynomial_domain": "coefficient", "prime_ids": [ 6, 7 ], "representation": "rns", "residue_representation": "standard", "ring_dimension": 16384, "scale": 1099511627776.0, "value_type": "ciphertext" } }, "limit": 0, "metric": "state_mismatch_count", "name": "rescale_to_next_level-level-5-exit-state", "observed": 0, "oracle": "Observed exit state satisfies the operation postconditions for level, actual scale, rows, components, domain, basis, representation, shape, dtype, and device.", "passed": true, "unit": "fields" }, { "comparison": "<=", "details": { "entry_level": 5, "nonfinite_count": 0, "operation": "rescale_to_next_level", "relative_l2_error": 4.629736396139812e-06, "rms_error": 5.474314646213659e-08 }, "limit": 3e-05, "metric": "max_abs_error", "name": "rescale_to_next_level-level-5-semantic-error", "observed": 2.5789186345827985e-06, "oracle": "All decoded slots are compared with the fixed cleartext operation after untimed canonicalization.", "passed": true, "unit": "absolute" }, { "comparison": "==", "details": { "entry_level": 5, "mismatches": {}, "observed_exit_state": { "batch_shape": [], "component_count": 2, "device": "cuda:0", "dtype": "torch.int64", "level": 6, "limb_count": 2, "modulus_basis": "Q", "polynomial_domain": "coefficient", "prime_ids": [ 6, 7 ], "representation": "rns", "residue_representation": "standard", "ring_dimension": 16384, "scale": 1099511627776.0, "value_type": "ciphertext" }, "operation": "mod_switch_to_next_level", "predicted_exit_state": { "batch_shape": [], "component_count": 2, "device": "cuda:0", "dtype": "torch.int64", "level": 6, "limb_count": 2, "modulus_basis": "Q", "polynomial_domain": "coefficient", "prime_ids": [ 6, 7 ], "representation": "rns", "residue_representation": "standard", "ring_dimension": 16384, "scale": 1099511627776.0, "value_type": "ciphertext" } }, "limit": 0, "metric": "state_mismatch_count", "name": "mod_switch_to_next_level-level-5-exit-state", "observed": 0, "oracle": "Observed exit state satisfies the operation postconditions for level, actual scale, rows, components, domain, basis, representation, shape, dtype, and device.", "passed": true, "unit": "fields" }, { "comparison": "<=", "details": { "entry_level": 5, "nonfinite_count": 0, "operation": "mod_switch_to_next_level", "relative_l2_error": 4.629736396139812e-06, "rms_error": 5.474314646213659e-08 }, "limit": 2e-05, "metric": "max_abs_error", "name": "mod_switch_to_next_level-level-5-semantic-error", "observed": 2.5789186345827985e-06, "oracle": "All decoded slots are compared with the fixed cleartext operation after untimed canonicalization.", "passed": true, "unit": "absolute" }, { "comparison": "==", "details": { "entry_level": 6, "mismatches": {}, "observed_exit_state": { "batch_shape": [], "component_count": 2, "device": "cuda:0", "dtype": "torch.int64", "level": 6, "limb_count": 2, "modulus_basis": "Q", "polynomial_domain": "coefficient", "prime_ids": [ 6, 7 ], "representation": "rns", "residue_representation": "standard", "ring_dimension": 16384, "scale": 1099511627776.0, "value_type": "ciphertext" }, "operation": "encrypt", "predicted_exit_state": { "batch_shape": [], "component_count": 2, "device": "cuda:0", "dtype": "torch.int64", "level": 6, "limb_count": 2, "modulus_basis": "Q", "polynomial_domain": "coefficient", "prime_ids": [ 6, 7 ], "representation": "rns", "residue_representation": "standard", "ring_dimension": 16384, "scale": 1099511627776.0, "value_type": "ciphertext" } }, "limit": 0, "metric": "state_mismatch_count", "name": "encrypt-level-6-exit-state", "observed": 0, "oracle": "Observed exit state satisfies the operation postconditions for level, actual scale, rows, components, domain, basis, representation, shape, dtype, and device.", "passed": true, "unit": "fields" }, { "comparison": "<=", "details": { "entry_level": 6, "nonfinite_count": 0, "operation": "encrypt", "relative_l2_error": 4.627101246590636e-06, "rms_error": 5.4711987803116505e-08 }, "limit": 1e-05, "metric": "max_abs_error", "name": "encrypt-level-6-semantic-error", "observed": 2.543311244019257e-06, "oracle": "All decoded slots are compared with the fixed cleartext operation after untimed canonicalization.", "passed": true, "unit": "absolute" }, { "comparison": "==", "details": { "entry_level": 6, "mismatches": {}, "observed_exit_state": { "batch_shape": [], "component_count": null, "device": "cuda:0", "dtype": "torch.float64", "level": 6, "limb_count": null, "modulus_basis": null, "polynomial_domain": "coefficient", "prime_ids": [], "representation": "approximate_coefficients", "residue_representation": null, "ring_dimension": 16384, "scale": 1099511627776.0, "value_type": "plaintext" }, "operation": "decrypt", "predicted_exit_state": { "batch_shape": [], "component_count": null, "device": "cuda:0", "dtype": "torch.float64", "level": 6, "limb_count": null, "modulus_basis": null, "polynomial_domain": "coefficient", "prime_ids": [], "representation": "approximate_coefficients", "residue_representation": null, "ring_dimension": 16384, "scale": 1099511627776.0, "value_type": "plaintext" } }, "limit": 0, "metric": "state_mismatch_count", "name": "decrypt-level-6-exit-state", "observed": 0, "oracle": "Observed exit state satisfies the operation postconditions for level, actual scale, rows, components, domain, basis, representation, shape, 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"predicted_exit_state": { "batch_shape": [], "component_count": 2, "device": "cuda:0", "dtype": "torch.int64", "level": 6, "limb_count": 2, "modulus_basis": "Q", "polynomial_domain": "ntt", "prime_ids": [ 6, 7 ], "representation": "rns", "residue_representation": "montgomery", "ring_dimension": 16384, "scale": 1099511627776.0, "value_type": "ciphertext" } }, "limit": 0, "metric": "state_mismatch_count", "name": "coefficient_domain_to_ntt_domain-level-6-exit-state", "observed": 0, "oracle": "Observed exit state satisfies the operation postconditions for level, actual scale, rows, components, domain, basis, representation, shape, dtype, and device.", "passed": true, "unit": "fields" }, { "comparison": "<=", "details": { "entry_level": 6, "nonfinite_count": 0, "operation": "coefficient_domain_to_ntt_domain", "relative_l2_error": 4.668900020992294e-06, "rms_error": 5.5206226833856063e-08 }, "limit": 2e-05, "metric": "max_abs_error", "name": "coefficient_domain_to_ntt_domain-level-6-semantic-error", "observed": 2.614492234504247e-06, "oracle": "All decoded slots are compared with the fixed cleartext operation after untimed canonicalization.", "passed": true, "unit": "absolute" }, { "comparison": "==", "details": { "entry_level": 6, "mismatches": {}, "observed_exit_state": { "batch_shape": [], "component_count": 2, "device": "cuda:0", "dtype": "torch.int64", "level": 6, "limb_count": 2, "modulus_basis": "Q", "polynomial_domain": "coefficient", "prime_ids": [ 6, 7 ], "representation": "rns", "residue_representation": "standard", "ring_dimension": 16384, "scale": 1099511627776.0, "value_type": "ciphertext" }, "operation": "ntt_domain_to_coefficient_domain", "predicted_exit_state": { "batch_shape": [], "component_count": 2, "device": "cuda:0", "dtype": "torch.int64", "level": 6, "limb_count": 2, "modulus_basis": "Q", "polynomial_domain": "coefficient", "prime_ids": [ 6, 7 ], "representation": "rns", "residue_representation": 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