FAILURE MAP

Understand the failure.
Verify the repair.

Small, reproducible software failures. The broken implementation, the fix that didn’t work, and the one that passed—preserved together.

Explore the cases ↓How results are verified ↗
100840Executable case variants
20168Distinct failure mechanisms
302520Executed implementations
20168Open-access cases

WHAT THE ARCHIVE CONTAINS

100840 executable cases. 20168 are open.

Every case records the implementation that fails, the fix that did not work, and the repair that passed its checks—with recorded outputs and source hashes. This release adds 100840 cases across 20168 failure mechanisms and 254 domains.

The open tier gives you the failure and the unsuccessful fix for one case in every mechanism. The remaining 80672 cases, 5 variants per mechanism, are member-only: the verified repair, its recorded checks, and the full fixture suite are held in the member archive. Read the methodology ↗

A RECORD OF WHAT WENT WRONG

Browse the archive / 100840

Python · Standard library
REFERENCEFAILURE MECHANISMDOMAINACCESS
FA-72901

Bloom filter cardinality estimation: union estimate counts concatenated bit lists · case 01

The union estimate is inflated or reported saturated when both filters share bits.

Probabilistic sketches● Open access↗
FA-72902

Bloom filter cardinality estimation: union estimate counts concatenated bit lists · case 02

The union estimate is inflated or reported saturated when both filters share bits.

Probabilistic sketches◈ Members↗
FA-72903

Bloom filter cardinality estimation: union estimate counts concatenated bit lists · case 03

The union estimate is inflated or reported saturated when both filters share bits.

Probabilistic sketches◈ Members↗
FA-72904

Bloom filter cardinality estimation: union estimate counts concatenated bit lists · case 04

The union estimate is inflated or reported saturated when both filters share bits.

Probabilistic sketches◈ Members↗
FA-72905

Bloom filter cardinality estimation: union estimate counts concatenated bit lists · case 05

The union estimate is inflated or reported saturated when both filters share bits.

Probabilistic sketches◈ Members↗
FA-72906

Bloom filter cardinality estimation: intersection estimated from AND-ed bits · case 01

The shared-item estimate is biased upward because AND-ed bits include coincidental collisions.

Probabilistic sketches● Open access↗
FA-72907

Bloom filter cardinality estimation: intersection estimated from AND-ed bits · case 02

The shared-item estimate is biased upward because AND-ed bits include coincidental collisions.

Probabilistic sketches◈ Members↗
FA-72908

Bloom filter cardinality estimation: intersection estimated from AND-ed bits · case 03

The shared-item estimate is biased upward because AND-ed bits include coincidental collisions.

Probabilistic sketches◈ Members↗
FA-72909

Bloom filter cardinality estimation: intersection estimated from AND-ed bits · case 04

The shared-item estimate is biased upward because AND-ed bits include coincidental collisions.

Probabilistic sketches◈ Members↗
FA-72910

Bloom filter cardinality estimation: intersection estimated from AND-ed bits · case 05

The shared-item estimate is biased upward because AND-ed bits include coincidental collisions.

Probabilistic sketches◈ Members↗
FA-72911

Bloom filter cardinality estimation: intersection can become negative · case 01

Disjoint filters report a negative number of shared items.

Probabilistic sketches● Open access↗
FA-72912

Bloom filter cardinality estimation: intersection can become negative · case 02

Disjoint filters report a negative number of shared items.

Probabilistic sketches◈ Members↗
FA-72913

Bloom filter cardinality estimation: intersection can become negative · case 03

Disjoint filters report a negative number of shared items.

Probabilistic sketches◈ Members↗
FA-72914

Bloom filter cardinality estimation: intersection can become negative · case 04

Disjoint filters report a negative number of shared items.

Probabilistic sketches◈ Members↗
FA-72915

Bloom filter cardinality estimation: intersection can become negative · case 05

Disjoint filters report a negative number of shared items.

Probabilistic sketches◈ Members↗
FA-72916

Bloom filter cardinality estimation: saturated filter reports a finite count · case 01

A completely filled filter is reported as containing only m items and yields a finite intersection.

Probabilistic sketches● Open access↗
FA-72917

Bloom filter cardinality estimation: saturated filter reports a finite count · case 02

A completely filled filter is reported as containing only m items and yields a finite intersection.

Probabilistic sketches◈ Members↗
FA-72918

Bloom filter cardinality estimation: saturated filter reports a finite count · case 03

A completely filled filter is reported as containing only m items and yields a finite intersection.

Probabilistic sketches◈ Members↗
FA-72919

Bloom filter cardinality estimation: saturated filter reports a finite count · case 04

A completely filled filter is reported as containing only m items and yields a finite intersection.

Probabilistic sketches◈ Members↗
FA-72920

Bloom filter cardinality estimation: saturated filter reports a finite count · case 05

A completely filled filter is reported as containing only m items and yields a finite intersection.

Probabilistic sketches◈ Members↗
FA-72921

Bloom filter cardinality estimation: estimate uses a base-2 logarithm · case 01

Every item-count estimate is inflated by a factor of about 1.44.

Probabilistic sketches● Open access↗
FA-72922

Bloom filter cardinality estimation: estimate uses a base-2 logarithm · case 02

Every item-count estimate is inflated by a factor of about 1.44.

Probabilistic sketches◈ Members↗
FA-72923

Bloom filter cardinality estimation: estimate uses a base-2 logarithm · case 03

Every item-count estimate is inflated by a factor of about 1.44.

Probabilistic sketches◈ Members↗
FA-72924

Bloom filter cardinality estimation: estimate uses a base-2 logarithm · case 04

Every item-count estimate is inflated by a factor of about 1.44.

Probabilistic sketches◈ Members↗
FA-72925

Bloom filter cardinality estimation: estimate uses a base-2 logarithm · case 05

Every item-count estimate is inflated by a factor of about 1.44.

Probabilistic sketches◈ Members↗
FA-72926

Counting Bloom filter with 4-bit counters: repeated probe position counted twice · case 01

An item whose stride wraps onto an earlier position inflates that counter, and later removals leave residue or drain other items.

Probabilistic sketches● Open access↗
FA-72927

Counting Bloom filter with 4-bit counters: repeated probe position counted twice · case 02

An item whose stride wraps onto an earlier position inflates that counter, and later removals leave residue or drain other items.

Probabilistic sketches◈ Members↗
FA-72928

Counting Bloom filter with 4-bit counters: repeated probe position counted twice · case 03

An item whose stride wraps onto an earlier position inflates that counter, and later removals leave residue or drain other items.

Probabilistic sketches◈ Members↗
FA-72929

Counting Bloom filter with 4-bit counters: repeated probe position counted twice · case 04

An item whose stride wraps onto an earlier position inflates that counter, and later removals leave residue or drain other items.

Probabilistic sketches◈ Members↗
FA-72930

Counting Bloom filter with 4-bit counters: repeated probe position counted twice · case 05

An item whose stride wraps onto an earlier position inflates that counter, and later removals leave residue or drain other items.

Probabilistic sketches◈ Members↗
FA-72931

Counting Bloom filter with 4-bit counters: stride can be congruent to zero · case 01

Some items probe a single counter k times, raising their false-positive and false-negative exposure.

Probabilistic sketches● Open access↗
FA-72932

Counting Bloom filter with 4-bit counters: stride can be congruent to zero · case 02

Some items probe a single counter k times, raising their false-positive and false-negative exposure.

Probabilistic sketches◈ Members↗
FA-72933

Counting Bloom filter with 4-bit counters: stride can be congruent to zero · case 03

Some items probe a single counter k times, raising their false-positive and false-negative exposure.

Probabilistic sketches◈ Members↗
FA-72934

Counting Bloom filter with 4-bit counters: stride can be congruent to zero · case 04

Some items probe a single counter k times, raising their false-positive and false-negative exposure.

Probabilistic sketches◈ Members↗
FA-72935

Counting Bloom filter with 4-bit counters: stride can be congruent to zero · case 05

Some items probe a single counter k times, raising their false-positive and false-negative exposure.

Probabilistic sketches◈ Members↗
FA-72936

Counting Bloom filter with 4-bit counters: 4-bit counter wraps on overflow · case 01

After sixteen inserts of a hot item its counter wraps to zero and the item is reported absent.

Probabilistic sketches● Open access↗
FA-72937

Counting Bloom filter with 4-bit counters: 4-bit counter wraps on overflow · case 02

After sixteen inserts of a hot item its counter wraps to zero and the item is reported absent.

Probabilistic sketches◈ Members↗
FA-72938

Counting Bloom filter with 4-bit counters: 4-bit counter wraps on overflow · case 03

After sixteen inserts of a hot item its counter wraps to zero and the item is reported absent.

Probabilistic sketches◈ Members↗
FA-72939

Counting Bloom filter with 4-bit counters: 4-bit counter wraps on overflow · case 04

After sixteen inserts of a hot item its counter wraps to zero and the item is reported absent.

Probabilistic sketches◈ Members↗
FA-72940

Counting Bloom filter with 4-bit counters: 4-bit counter wraps on overflow · case 05

After sixteen inserts of a hot item its counter wraps to zero and the item is reported absent.

Probabilistic sketches◈ Members↗
FA-72941

Counting Bloom filter with 4-bit counters: saturated counter is decremented · case 01

After a saturated counter is decremented, removing the true multiplicity drives it to zero while other items still map there.

Probabilistic sketches● Open access↗
FA-72942

Counting Bloom filter with 4-bit counters: saturated counter is decremented · case 02

After a saturated counter is decremented, removing the true multiplicity drives it to zero while other items still map there.

Probabilistic sketches◈ Members↗
FA-72943

Counting Bloom filter with 4-bit counters: saturated counter is decremented · case 03

After a saturated counter is decremented, removing the true multiplicity drives it to zero while other items still map there.

Probabilistic sketches◈ Members↗
FA-72944

Counting Bloom filter with 4-bit counters: saturated counter is decremented · case 04

After a saturated counter is decremented, removing the true multiplicity drives it to zero while other items still map there.

Probabilistic sketches◈ Members↗
FA-72945

Counting Bloom filter with 4-bit counters: saturated counter is decremented · case 05

After a saturated counter is decremented, removing the true multiplicity drives it to zero while other items still map there.

Probabilistic sketches◈ Members↗
FA-72946

Counting Bloom filter with 4-bit counters: removal of an absent item partially mutates counters · case 01

Removing an item that was never inserted decrements some counters before discovering a zero, creating false negatives for others.

Probabilistic sketches● Open access↗
FA-72947

Counting Bloom filter with 4-bit counters: removal of an absent item partially mutates counters · case 02

Removing an item that was never inserted decrements some counters before discovering a zero, creating false negatives for others.

Probabilistic sketches◈ Members↗
FA-72948

Counting Bloom filter with 4-bit counters: removal of an absent item partially mutates counters · case 03

Removing an item that was never inserted decrements some counters before discovering a zero, creating false negatives for others.

Probabilistic sketches◈ Members↗
FA-72949

Counting Bloom filter with 4-bit counters: removal of an absent item partially mutates counters · case 04

Removing an item that was never inserted decrements some counters before discovering a zero, creating false negatives for others.

Probabilistic sketches◈ Members↗
FA-72950

Counting Bloom filter with 4-bit counters: removal of an absent item partially mutates counters · case 05

Removing an item that was never inserted decrements some counters before discovering a zero, creating false negatives for others.

Probabilistic sketches◈ Members↗
FA-72951

Counting Bloom filter with 4-bit counters: membership accepts partial matches · case 01

Items sharing only one counter with a stored item are reported present.

Probabilistic sketches● Open access↗
FA-72952

Counting Bloom filter with 4-bit counters: membership accepts partial matches · case 02

Items sharing only one counter with a stored item are reported present.

Probabilistic sketches◈ Members↗
FA-72953

Counting Bloom filter with 4-bit counters: membership accepts partial matches · case 03

Items sharing only one counter with a stored item are reported present.

Probabilistic sketches◈ Members↗
FA-72954

Counting Bloom filter with 4-bit counters: membership accepts partial matches · case 04

Items sharing only one counter with a stored item are reported present.

Probabilistic sketches◈ Members↗
FA-72955

Counting Bloom filter with 4-bit counters: membership accepts partial matches · case 05

Items sharing only one counter with a stored item are reported present.

Probabilistic sketches◈ Members↗
FA-72956

HyperLogLog register update: register index taken from low bits · case 01

Registers are indexed by bits that also feed the rank, correlating index and rho and biasing the estimate.

Probabilistic sketches● Open access↗
FA-72957

HyperLogLog register update: register index taken from low bits · case 02

Registers are indexed by bits that also feed the rank, correlating index and rho and biasing the estimate.

Probabilistic sketches◈ Members↗
FA-72958

HyperLogLog register update: register index taken from low bits · case 03

Registers are indexed by bits that also feed the rank, correlating index and rho and biasing the estimate.

Probabilistic sketches◈ Members↗
FA-72959

HyperLogLog register update: register index taken from low bits · case 04

Registers are indexed by bits that also feed the rank, correlating index and rho and biasing the estimate.

Probabilistic sketches◈ Members↗
FA-72960

HyperLogLog register update: register index taken from low bits · case 05

Registers are indexed by bits that also feed the rank, correlating index and rho and biasing the estimate.

Probabilistic sketches◈ Members↗
FA-72961

HyperLogLog register update: rank word not truncated to 32 bits · case 01

Ranks come out too small (even zero or negative) because index bits remain above the word.

Probabilistic sketches● Open access↗
FA-72962

HyperLogLog register update: rank word not truncated to 32 bits · case 02

Ranks come out too small (even zero or negative) because index bits remain above the word.

Probabilistic sketches◈ Members↗
FA-72963

HyperLogLog register update: rank word not truncated to 32 bits · case 03

Ranks come out too small (even zero or negative) because index bits remain above the word.

Probabilistic sketches◈ Members↗
FA-72964

HyperLogLog register update: rank word not truncated to 32 bits · case 04

Ranks come out too small (even zero or negative) because index bits remain above the word.

Probabilistic sketches◈ Members↗
FA-72965

HyperLogLog register update: rank word not truncated to 32 bits · case 05

Ranks come out too small (even zero or negative) because index bits remain above the word.

Probabilistic sketches◈ Members↗
FA-72966

HyperLogLog register update: all-zero remainder gets rank 33 · case 01

A hash whose remainder is zero stores a rank larger than any valid value for the precision.

Probabilistic sketches● Open access↗
FA-72967

HyperLogLog register update: all-zero remainder gets rank 33 · case 02

A hash whose remainder is zero stores a rank larger than any valid value for the precision.

Probabilistic sketches◈ Members↗
FA-72968

HyperLogLog register update: all-zero remainder gets rank 33 · case 03

A hash whose remainder is zero stores a rank larger than any valid value for the precision.

Probabilistic sketches◈ Members↗
FA-72969

HyperLogLog register update: all-zero remainder gets rank 33 · case 04

A hash whose remainder is zero stores a rank larger than any valid value for the precision.

Probabilistic sketches◈ Members↗
FA-72970

HyperLogLog register update: all-zero remainder gets rank 33 · case 05

A hash whose remainder is zero stores a rank larger than any valid value for the precision.

Probabilistic sketches◈ Members↗
FA-72971

HyperLogLog register update: register overwritten by the latest rank · case 01

A later small rank erases the maximum, making estimates depend on arrival order.

Probabilistic sketches● Open access↗
FA-72972

HyperLogLog register update: register overwritten by the latest rank · case 02

A later small rank erases the maximum, making estimates depend on arrival order.

Probabilistic sketches◈ Members↗
FA-72973

HyperLogLog register update: register overwritten by the latest rank · case 03

A later small rank erases the maximum, making estimates depend on arrival order.

Probabilistic sketches◈ Members↗
FA-72974

HyperLogLog register update: register overwritten by the latest rank · case 04

A later small rank erases the maximum, making estimates depend on arrival order.

Probabilistic sketches◈ Members↗
FA-72975

HyperLogLog register update: register overwritten by the latest rank · case 05

A later small rank erases the maximum, making estimates depend on arrival order.

Probabilistic sketches◈ Members↗
FA-72976

HyperLogLog register update: rank counts leading zeros without the +1 · case 01

Every register is one lower, shrinking the estimate by about half.

Probabilistic sketches● Open access↗
FA-72977

HyperLogLog register update: rank counts leading zeros without the +1 · case 02

Every register is one lower, shrinking the estimate by about half.

Probabilistic sketches◈ Members↗
FA-72978

HyperLogLog register update: rank counts leading zeros without the +1 · case 03

Every register is one lower, shrinking the estimate by about half.

Probabilistic sketches◈ Members↗
FA-72979

HyperLogLog register update: rank counts leading zeros without the +1 · case 04

Every register is one lower, shrinking the estimate by about half.

Probabilistic sketches◈ Members↗
FA-72980

HyperLogLog register update: rank counts leading zeros without the +1 · case 05

Every register is one lower, shrinking the estimate by about half.

Probabilistic sketches◈ Members↗
FA-72981

HyperLogLog register update: hash masked to 31 bits · case 01

A port that stores hashes in signed 32-bit integers never uses the upper half of the registers.

Probabilistic sketches● Open access↗
FA-72982

HyperLogLog register update: hash masked to 31 bits · case 02

A port that stores hashes in signed 32-bit integers never uses the upper half of the registers.

Probabilistic sketches◈ Members↗
FA-72983

HyperLogLog register update: hash masked to 31 bits · case 03

A port that stores hashes in signed 32-bit integers never uses the upper half of the registers.

Probabilistic sketches◈ Members↗
FA-72984

HyperLogLog register update: hash masked to 31 bits · case 04

A port that stores hashes in signed 32-bit integers never uses the upper half of the registers.

Probabilistic sketches◈ Members↗
FA-72985

HyperLogLog register update: hash masked to 31 bits · case 05

A port that stores hashes in signed 32-bit integers never uses the upper half of the registers.

Probabilistic sketches◈ Members↗
FA-72986

HyperLogLog cardinality estimate: small-register alpha constants ignored · case 01

Estimates for 16, 32 and 64 registers are biased by the asymptotic constant.

Probabilistic sketches● Open access↗
FA-72987

HyperLogLog cardinality estimate: small-register alpha constants ignored · case 02

Estimates for 16, 32 and 64 registers are biased by the asymptotic constant.

Probabilistic sketches◈ Members↗
FA-72988

HyperLogLog cardinality estimate: small-register alpha constants ignored · case 03

Estimates for 16, 32 and 64 registers are biased by the asymptotic constant.

Probabilistic sketches◈ Members↗
FA-72989

HyperLogLog cardinality estimate: small-register alpha constants ignored · case 04

Estimates for 16, 32 and 64 registers are biased by the asymptotic constant.

Probabilistic sketches◈ Members↗
FA-72990

HyperLogLog cardinality estimate: small-register alpha constants ignored · case 05

Estimates for 16, 32 and 64 registers are biased by the asymptotic constant.

Probabilistic sketches◈ Members↗
FA-72991

HyperLogLog cardinality estimate: harmonic sum skips empty registers · case 01

Raw estimates explode for sparse sketches because empty registers no longer contribute 1 each.

Probabilistic sketches● Open access↗
FA-72992

HyperLogLog cardinality estimate: harmonic sum skips empty registers · case 02

Raw estimates explode for sparse sketches because empty registers no longer contribute 1 each.

Probabilistic sketches◈ Members↗
FA-72993

HyperLogLog cardinality estimate: harmonic sum skips empty registers · case 03

Raw estimates explode for sparse sketches because empty registers no longer contribute 1 each.

Probabilistic sketches◈ Members↗
FA-72994

HyperLogLog cardinality estimate: harmonic sum skips empty registers · case 04

Raw estimates explode for sparse sketches because empty registers no longer contribute 1 each.

Probabilistic sketches◈ Members↗
FA-72995

HyperLogLog cardinality estimate: harmonic sum skips empty registers · case 05

Raw estimates explode for sparse sketches because empty registers no longer contribute 1 each.

Probabilistic sketches◈ Members↗
FA-72996

HyperLogLog cardinality estimate: linear counting uses non-empty registers · case 01

Small cardinalities are estimated from the wrong register population.

Probabilistic sketches● Open access↗
FA-72997

HyperLogLog cardinality estimate: linear counting uses non-empty registers · case 02

Small cardinalities are estimated from the wrong register population.

Probabilistic sketches◈ Members↗
FA-72998

HyperLogLog cardinality estimate: linear counting uses non-empty registers · case 03

Small cardinalities are estimated from the wrong register population.

Probabilistic sketches◈ Members↗
FA-72999

HyperLogLog cardinality estimate: linear counting uses non-empty registers · case 04

Small cardinalities are estimated from the wrong register population.

Probabilistic sketches◈ Members↗
FA-73000

HyperLogLog cardinality estimate: linear counting uses non-empty registers · case 05

Small cardinalities are estimated from the wrong register population.

Probabilistic sketches◈ Members↗

INSPECTABLE BY DESIGN

Every result has a runnable source.

Runnable implementations with recorded outputs, source hashes, and explicit contracts. Related variants share a failure mechanism and belong together in evaluation splits.

Read the methodology ↗