FA-85781 / Ride-hailing fare and surge pricing / Open access
Meter total truncated · case 01
The meter drops fractional cents instead of rounding.
ROOT CAUSE
The exact total is truncated.
THE FAILURE
The exact total is truncated.
Unsuccessful approach: Fraction round() is half-even and rounds exact halves down to even cents.
Case contract
A single-tariff taximeter bills each segment [seconds, meters] by distance when its speed is at least v m/s (meters >= v*seconds, so a zero-duration movement bills distance) and by time otherwise, never both. Charges accumulate exactly (per_km per 1000 m, per_hour per 3600 s) and the total is rounded half up to a cent once, then the flag fall is added.
Why this case matters
Ride-hailing prices are computed per trip at scale; ordering, unit and boundary slips become systematic over- or under-charging.
1 / The failure
Exit 1"""Failure Map reference implementation. Python standard library only."""
import json
from fractions import Fraction
N = 1
observations = []
def solve(segments, rate):
acc = Fraction(0)
for dt, dm in segments:
if dm >= rate['v'] * dt:
acc += Fraction(dm * rate['per_km'], 1000)
else:
acc += Fraction(dt * rate['per_hour'], 3600)
cents = int(acc)
return rate['flag'] + cents
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[('regression: final rounding',
[[[5, 24], [0, 3], [10, 49], [1, 4]], {'flag': 390, 'per_hour': 3900, 'per_km': 199, 'v': 5}], 408),
('partial repair probe: final rounding',
[[[0, 0], [30, 7]], {'flag': 300, 'per_hour': 3900, 'per_km': 230, 'v': 5}], 333),
('second regression',
[[[5, 28], [5, 25], [5, 55], [10, 49], [30, 153]], {'flag': 390, 'per_hour': 3600, 'per_km': 245, 'v': 5}],
464),
('normal control 1',
[[[5, 0], [30, 60], [10, 7], [10, 7], [5, 55], [10, 50]],
{'flag': 300, 'per_hour': 3900, 'per_km': 199, 'v': 5}],
380),
('normal control 2', [[[0, 0]], {'flag': 300, 'per_hour': 4150, 'per_km': 245, 'v': 5}], 300),
('normal control 3', [[[5, 28]], {'flag': 390, 'per_hour': 4150, 'per_km': 230, 'v': 5}], 396),
('normal control 4',
[[[10, 0], [10, 49], [10, 110], [5, 7], [10, 20], [5, 10]],
{'flag': 390, 'per_hour': 3900, 'per_km': 245, 'v': 5}],
460)],
[('regression: final rounding',
[[[10, 110], [10, 7], [1, 2]], {'flag': 390, 'per_hour': 3900, 'per_km': 245, 'v': 5}], 429),
('partial repair probe: final rounding',
[[[0, 0], [30, 150]], {'flag': 390, 'per_hour': 3600, 'per_km': 230, 'v': 5}], 425),
('second regression',
[[[30, 149], [10, 7], [10, 110], [10, 53], [10, 110]],
{'flag': 390, 'per_hour': 4150, 'per_km': 230, 'v': 5}],
499),
('normal control 1',
[[[5, 7], [10, 20], [10, 20], [30, 60], [0, 0], [30, 153]],
{'flag': 300, 'per_hour': 3600, 'per_km': 245, 'v': 5}],
392),
('normal control 2', [[[0, 0]], {'flag': 300, 'per_hour': 3900, 'per_km': 230, 'v': 5}], 300),
('normal control 3',
[[[0, 0], [10, 50], [10, 49], [10, 7]], {'flag': 390, 'per_hour': 3600, 'per_km': 245, 'v': 5}], 422),
('normal control 4',
[[[5, 25], [0, 0], [5, 0], [30, 150], [10, 50]], {'flag': 390, 'per_hour': 3900, 'per_km': 230, 'v': 5}],
447)],
[('regression: final rounding',
[[[0, 3], [0, 0], [10, 110]], {'flag': 300, 'per_hour': 3600, 'per_km': 230, 'v': 5}], 326),
('partial repair probe: final rounding',
[[[10, 20], [30, 60], [10, 0], [30, 150]], {'flag': 300, 'per_hour': 3600, 'per_km': 230, 'v': 5}], 385),
('second regression',
[[[5, 55], [10, 7], [1, 8], [5, 55], [30, 330]], {'flag': 390, 'per_hour': 3900, 'per_km': 230, 'v': 5}],
504),
('normal control 1', [[[5, 28]], {'flag': 390, 'per_hour': 3900, 'per_km': 230, 'v': 5}], 396),
('normal control 2', [[[5, 25], [30, 60]], {'flag': 390, 'per_hour': 3600, 'per_km': 245, 'v': 5}], 426),
('normal control 3', [[[5, 25], [1, 11]], {'flag': 390, 'per_hour': 4150, 'per_km': 230, 'v': 5}], 398),
('normal control 4',
[[[5, 28], [30, 153], [10, 49], [0, 7], [1, 5], [1, 5]],
{'flag': 300, 'per_hour': 3600, 'per_km': 199, 'v': 5}],
349)],
[('regression: final rounding', [[[1, 7]], {'flag': 300, 'per_hour': 3900, 'per_km': 245, 'v': 5}], 302),
('partial repair probe: final rounding',
[[[30, 149]], {'flag': 390, 'per_hour': 3900, 'per_km': 199, 'v': 5}], 423),
('second regression',
[[[1, 5], [30, 0], [30, 149], [10, 53]], {'flag': 390, 'per_hour': 3900, 'per_km': 199, 'v': 5}], 467),
('normal control 1', [[[1, 11], [0, 3]], {'flag': 390, 'per_hour': 4150, 'per_km': 245, 'v': 5}], 393),
('normal control 2',
[[[1, 7], [30, 153], [10, 110], [10, 53], [1, 5]], {'flag': 300, 'per_hour': 3600, 'per_km': 245, 'v': 5}],
380),
('normal control 3', [[[1, 2], [5, 24]], {'flag': 300, 'per_hour': 3600, 'per_km': 230, 'v': 5}], 306),
('normal control 4',
[[[10, 49], [5, 24], [10, 7], [10, 7], [5, 7]], {'flag': 300, 'per_hour': 4150, 'per_km': 230, 'v': 5}],
346)],
[('regression: final rounding', [[[10, 50]], {'flag': 300, 'per_hour': 3900, 'per_km': 230, 'v': 5}], 312),
('partial repair probe: final rounding',
[[[5, 25], [5, 25], [1, 0], [10, 7], [0, 0]], {'flag': 300, 'per_hour': 3600, 'per_km': 230, 'v': 5}],
323),
('second regression', [[[1, 5], [10, 7]], {'flag': 300, 'per_hour': 3900, 'per_km': 199, 'v': 5}], 312),
('normal control 1', [[[30, 150], [10, 49]], {'flag': 390, 'per_hour': 3900, 'per_km': 230, 'v': 5}], 435),
('normal control 2', [[[10, 50], [0, 7], [5, 10]], {'flag': 390, 'per_hour': 4150, 'per_km': 199, 'v': 5}],
407),
('normal control 3', [[[30, 7]], {'flag': 390, 'per_hour': 3600, 'per_km': 245, 'v': 5}], 420),
('normal control 4', [[[0, 7]], {'flag': 390, 'per_hour': 3900, 'per_km': 199, 'v': 5}], 391)]]
for label, args, expected in fixtures[N-1]:
check(label, solve(*args), expected)
print(json.dumps({"observations": observations, "passed": all(x["passed"] for x in observations)}, ensure_ascii=False))
raise SystemExit(0 if all(x["passed"] for x in observations) else 1)
| Boundary fixture | Actual | Expected | Outcome |
|---|---|---|---|
| regression: final rounding | 407 | 408 | Failed |
| partial repair probe: final rounding | 332 | 333 | Failed |
| second regression | 463 | 464 | Failed |
| normal control 1 | 380 | 380 | Passed |
| normal control 2 | 300 | 300 | Passed |
| normal control 3 | 396 | 396 | Passed |
| normal control 4 | 460 | 460 | Passed |
SHA-256 / 6249f7a414d313b9513131c6baff9eb9ac3f0b9bc7fd9faade3da13b761a3eb3
2 / The unsuccessful fix
Exit 1"""Failure Map reference implementation. Python standard library only."""
import json
from fractions import Fraction
N = 1
observations = []
def solve(segments, rate):
acc = Fraction(0)
for dt, dm in segments:
if dm >= rate['v'] * dt:
acc += Fraction(dm * rate['per_km'], 1000)
else:
acc += Fraction(dt * rate['per_hour'], 3600)
cents = round(acc)
return rate['flag'] + cents
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[('regression: final rounding',
[[[5, 24], [0, 3], [10, 49], [1, 4]], {'flag': 390, 'per_hour': 3900, 'per_km': 199, 'v': 5}], 408),
('partial repair probe: final rounding',
[[[0, 0], [30, 7]], {'flag': 300, 'per_hour': 3900, 'per_km': 230, 'v': 5}], 333),
('second regression',
[[[5, 28], [5, 25], [5, 55], [10, 49], [30, 153]], {'flag': 390, 'per_hour': 3600, 'per_km': 245, 'v': 5}],
464),
('normal control 1',
[[[5, 0], [30, 60], [10, 7], [10, 7], [5, 55], [10, 50]],
{'flag': 300, 'per_hour': 3900, 'per_km': 199, 'v': 5}],
380),
('normal control 2', [[[0, 0]], {'flag': 300, 'per_hour': 4150, 'per_km': 245, 'v': 5}], 300),
('normal control 3', [[[5, 28]], {'flag': 390, 'per_hour': 4150, 'per_km': 230, 'v': 5}], 396),
('normal control 4',
[[[10, 0], [10, 49], [10, 110], [5, 7], [10, 20], [5, 10]],
{'flag': 390, 'per_hour': 3900, 'per_km': 245, 'v': 5}],
460)],
[('regression: final rounding',
[[[10, 110], [10, 7], [1, 2]], {'flag': 390, 'per_hour': 3900, 'per_km': 245, 'v': 5}], 429),
('partial repair probe: final rounding',
[[[0, 0], [30, 150]], {'flag': 390, 'per_hour': 3600, 'per_km': 230, 'v': 5}], 425),
('second regression',
[[[30, 149], [10, 7], [10, 110], [10, 53], [10, 110]],
{'flag': 390, 'per_hour': 4150, 'per_km': 230, 'v': 5}],
499),
('normal control 1',
[[[5, 7], [10, 20], [10, 20], [30, 60], [0, 0], [30, 153]],
{'flag': 300, 'per_hour': 3600, 'per_km': 245, 'v': 5}],
392),
('normal control 2', [[[0, 0]], {'flag': 300, 'per_hour': 3900, 'per_km': 230, 'v': 5}], 300),
('normal control 3',
[[[0, 0], [10, 50], [10, 49], [10, 7]], {'flag': 390, 'per_hour': 3600, 'per_km': 245, 'v': 5}], 422),
('normal control 4',
[[[5, 25], [0, 0], [5, 0], [30, 150], [10, 50]], {'flag': 390, 'per_hour': 3900, 'per_km': 230, 'v': 5}],
447)],
[('regression: final rounding',
[[[0, 3], [0, 0], [10, 110]], {'flag': 300, 'per_hour': 3600, 'per_km': 230, 'v': 5}], 326),
('partial repair probe: final rounding',
[[[10, 20], [30, 60], [10, 0], [30, 150]], {'flag': 300, 'per_hour': 3600, 'per_km': 230, 'v': 5}], 385),
('second regression',
[[[5, 55], [10, 7], [1, 8], [5, 55], [30, 330]], {'flag': 390, 'per_hour': 3900, 'per_km': 230, 'v': 5}],
504),
('normal control 1', [[[5, 28]], {'flag': 390, 'per_hour': 3900, 'per_km': 230, 'v': 5}], 396),
('normal control 2', [[[5, 25], [30, 60]], {'flag': 390, 'per_hour': 3600, 'per_km': 245, 'v': 5}], 426),
('normal control 3', [[[5, 25], [1, 11]], {'flag': 390, 'per_hour': 4150, 'per_km': 230, 'v': 5}], 398),
('normal control 4',
[[[5, 28], [30, 153], [10, 49], [0, 7], [1, 5], [1, 5]],
{'flag': 300, 'per_hour': 3600, 'per_km': 199, 'v': 5}],
349)],
[('regression: final rounding', [[[1, 7]], {'flag': 300, 'per_hour': 3900, 'per_km': 245, 'v': 5}], 302),
('partial repair probe: final rounding',
[[[30, 149]], {'flag': 390, 'per_hour': 3900, 'per_km': 199, 'v': 5}], 423),
('second regression',
[[[1, 5], [30, 0], [30, 149], [10, 53]], {'flag': 390, 'per_hour': 3900, 'per_km': 199, 'v': 5}], 467),
('normal control 1', [[[1, 11], [0, 3]], {'flag': 390, 'per_hour': 4150, 'per_km': 245, 'v': 5}], 393),
('normal control 2',
[[[1, 7], [30, 153], [10, 110], [10, 53], [1, 5]], {'flag': 300, 'per_hour': 3600, 'per_km': 245, 'v': 5}],
380),
('normal control 3', [[[1, 2], [5, 24]], {'flag': 300, 'per_hour': 3600, 'per_km': 230, 'v': 5}], 306),
('normal control 4',
[[[10, 49], [5, 24], [10, 7], [10, 7], [5, 7]], {'flag': 300, 'per_hour': 4150, 'per_km': 230, 'v': 5}],
346)],
[('regression: final rounding', [[[10, 50]], {'flag': 300, 'per_hour': 3900, 'per_km': 230, 'v': 5}], 312),
('partial repair probe: final rounding',
[[[5, 25], [5, 25], [1, 0], [10, 7], [0, 0]], {'flag': 300, 'per_hour': 3600, 'per_km': 230, 'v': 5}],
323),
('second regression', [[[1, 5], [10, 7]], {'flag': 300, 'per_hour': 3900, 'per_km': 199, 'v': 5}], 312),
('normal control 1', [[[30, 150], [10, 49]], {'flag': 390, 'per_hour': 3900, 'per_km': 230, 'v': 5}], 435),
('normal control 2', [[[10, 50], [0, 7], [5, 10]], {'flag': 390, 'per_hour': 4150, 'per_km': 199, 'v': 5}],
407),
('normal control 3', [[[30, 7]], {'flag': 390, 'per_hour': 3600, 'per_km': 245, 'v': 5}], 420),
('normal control 4', [[[0, 7]], {'flag': 390, 'per_hour': 3900, 'per_km': 199, 'v': 5}], 391)]]
for label, args, expected in fixtures[N-1]:
check(label, solve(*args), expected)
print(json.dumps({"observations": observations, "passed": all(x["passed"] for x in observations)}, ensure_ascii=False))
raise SystemExit(0 if all(x["passed"] for x in observations) else 1)
| Boundary fixture | Actual | Expected | Outcome |
|---|---|---|---|
| regression: final rounding | 408 | 408 | Passed |
| partial repair probe: final rounding | 332 | 333 | Failed |
| second regression | 464 | 464 | Passed |
| normal control 1 | 380 | 380 | Passed |
| normal control 2 | 300 | 300 | Passed |
| normal control 3 | 396 | 396 | Passed |
| normal control 4 | 460 | 460 | Passed |
SHA-256 / 6a6304e6ffe6a06e4edec35a453182ea7502ac7d9d28d972f50508dbab80b27c
HELD IN THE MEMBER ARCHIVE
The verified repair and its recorded checks are member-only.
This mechanism has 7 recorded checks per implementation. The open-access tier publishes the failure and the unsuccessful fix; the repaired source that passes every check, and the observations that prove it, are available to members.
Every case sharing this mechanism uses the same contract and the same repair, so this one record is held back for all of them.
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Sign in to the archive ↗Verification & scope
A deterministic toy pricing contract stipulated for this example; it does not reproduce the pricing of any real ride-hailing operator or regulator. This reproducer isolates one failure mechanism. Results cover the supplied fixtures. Variants within a family share a test contract and should remain grouped when constructing evaluation splits. Related mechanisms with a shared evaluation_group must also remain together; these controlled models are not independent production incidents.
Observations recorded using Python 3.12.14 at 2026-09-29T14:50:43.555429+00:00.
Case digest / 2f751968a0f2e21f2c39769107d86a8b6437ca7400aea518ec002604e9d8d8bf