[eguguchkin]

Replaces sort.Search (binary search over the whole remainder) with galloping
(exponential) search in the non-batched static leaf iterators —
staticAsc.NextGeq and staticDesc.NextGeq (node/node_static.go).

Benchmark

BenchmarkStaticNextGeq (node/bench_test.go) drives NextGeq with monotone
targets placed step elements apart, so step is the element distance the
search must cover from the consumption edge:

• dense — step 2 elements (lockstep zigzag, the typical AND/OR walk);
• medium — step √N;
• sparse — step N/64 (rare long skips).

Results (Apple M1 Pro, Go 1.27, -benchtime=2s, ns/match):

size	density	main (before)	this branch (after)	Δ
1 000	random	36.5	19.1	−48%
1 000	dense	12.2	9.7	−21%
1 000	medium	15.1	14.9	~0
1 000	sparse	17.1	13.5	−21%
10 000	random	55.2	31.8	−42%
10 000	dense	13.8	9.6	−31%
10 000	medium	24.4	16.0	−34%
10 000	sparse	20.6	18.9	−8%
1 000 000	random	73.4	37.9	−48%
1 000 000	dense	18.7	9.8	−48%
1 000 000	medium	53.5	21.3	−60%
1 000 000	sparse	28.6	25.7	−10%

---

• I have read and followed all requirements in CONTRIBUTING.md;

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❌ PR Title Validation Failed
Please refer to CONTRIBUTING.md

[codecov-commenter]

Codecov Report

✅ All modified and coverable lines are covered by tests.
✅ Project coverage is 80.10%. Comparing base (db7c170) to head (497d3c2).
⚠️ Report is 1 commits behind head on main.

Additional details and impacted files

@@            Coverage Diff             @@
##             main     #597      +/-   ##
==========================================
+ Coverage   80.09%   80.10%   +0.01%     
==========================================
  Files         261      261              
  Lines       19769    19769              
==========================================
+ Hits        15834    15836       +2     
+ Misses       3935     3933       -2     

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[github-actions]

❌ PR Title Validation Failed
Please refer to CONTRIBUTING.md

[github-actions]

🔴 Performance Degradation

Some benchmarks have degraded compared to the previous run.
Click on Show table button to see full list of degraded benchmarks.

Show table

Name	Previous	Current	Ratio	Verdict
AggDeep/size=1000000-4	545c63	16929e
	30696.00 B/op	35139.00 B/op	1.14	🔴
And/size=1000/density=dense-4	------	16929e
	NaN B/op	112.00 B/op	NaN	🔴
	NaN allocs/op	3.00 allocs/op	NaN	🔴
	NaN ns/op	7757.00 ns/op	NaN	🔴
And/size=1000/density=medium-4	------	16929e
	NaN B/op	112.00 B/op	NaN	🔴
	NaN allocs/op	3.00 allocs/op	NaN	🔴
	NaN ns/op	1007.00 ns/op	NaN	🔴
And/size=1000/density=random-4	------	16929e
	NaN B/op	112.00 B/op	NaN	🔴
	NaN allocs/op	3.00 allocs/op	NaN	🔴
	NaN ns/op	10149.00 ns/op	NaN	🔴
And/size=1000/density=sparse-4	------	16929e
	NaN B/op	112.00 B/op	NaN	🔴
	NaN allocs/op	3.00 allocs/op	NaN	🔴
	NaN ns/op	1717.00 ns/op	NaN	🔴
And/size=10000/density=dense-4	------	16929e
	NaN B/op	112.00 B/op	NaN	🔴
	NaN allocs/op	3.00 allocs/op	NaN	🔴
	NaN ns/op	76721.00 ns/op	NaN	🔴
And/size=10000/density=medium-4	------	16929e
	NaN B/op	112.00 B/op	NaN	🔴
	NaN allocs/op	3.00 allocs/op	NaN	🔴
	NaN ns/op	3022.00 ns/op	NaN	🔴
And/size=10000/density=random-4	------	16929e
	NaN B/op	112.00 B/op	NaN	🔴
	NaN allocs/op	3.00 allocs/op	NaN	🔴
	NaN ns/op	177014.00 ns/op	NaN	🔴
And/size=10000/density=sparse-4	------	16929e
	NaN B/op	112.00 B/op	NaN	🔴
	NaN allocs/op	3.00 allocs/op	NaN	🔴
	NaN ns/op	2115.00 ns/op	NaN	🔴
And/size=1000000/density=dense-4	------	16929e
	NaN B/op	112.00 B/op	NaN	🔴
	NaN allocs/op	3.00 allocs/op	NaN	🔴
	NaN ns/op	7619661.00 ns/op	NaN	🔴
And/size=1000000/density=medium-4	------	16929e
	NaN B/op	112.00 B/op	NaN	🔴
	NaN allocs/op	3.00 allocs/op	NaN	🔴
	NaN ns/op	33533.00 ns/op	NaN	🔴
And/size=1000000/density=random-4	------	16929e
	NaN B/op	112.00 B/op	NaN	🔴
	NaN allocs/op	3.00 allocs/op	NaN	🔴
	NaN ns/op	20795453.00 ns/op	NaN	🔴
And/size=1000000/density=sparse-4	------	16929e
	NaN B/op	112.00 B/op	NaN	🔴
	NaN allocs/op	3.00 allocs/op	NaN	🔴
	NaN ns/op	2664.00 ns/op	NaN	🔴

[github-actions]

🔴 Performance Degradation

Some benchmarks have degraded compared to the previous run.
Click on Show table button to see full list of degraded benchmarks.

Show table

Name	Previous	Current	Ratio	Verdict
And/size=1000/density=dense-4	------	e307ea
	NaN B/op	112.00 B/op	NaN	🔴
	NaN allocs/op	3.00 allocs/op	NaN	🔴
	NaN ns/op	7694.00 ns/op	NaN	🔴
And/size=1000/density=medium-4	------	e307ea
	NaN B/op	112.00 B/op	NaN	🔴
	NaN allocs/op	3.00 allocs/op	NaN	🔴
	NaN ns/op	997.50 ns/op	NaN	🔴
And/size=1000/density=random-4	------	e307ea
	NaN B/op	112.00 B/op	NaN	🔴
	NaN allocs/op	3.00 allocs/op	NaN	🔴
	NaN ns/op	10158.00 ns/op	NaN	🔴
And/size=1000/density=sparse-4	------	e307ea
	NaN B/op	112.00 B/op	NaN	🔴
	NaN allocs/op	3.00 allocs/op	NaN	🔴
	NaN ns/op	1707.00 ns/op	NaN	🔴
And/size=10000/density=dense-4	------	e307ea
	NaN B/op	112.00 B/op	NaN	🔴
	NaN allocs/op	3.00 allocs/op	NaN	🔴
	NaN ns/op	76240.00 ns/op	NaN	🔴
And/size=10000/density=medium-4	------	e307ea
	NaN B/op	112.00 B/op	NaN	🔴
	NaN allocs/op	3.00 allocs/op	NaN	🔴
	NaN ns/op	2985.00 ns/op	NaN	🔴
And/size=10000/density=random-4	------	e307ea
	NaN B/op	112.00 B/op	NaN	🔴
	NaN allocs/op	3.00 allocs/op	NaN	🔴
	NaN ns/op	174338.00 ns/op	NaN	🔴
And/size=10000/density=sparse-4	------	e307ea
	NaN B/op	112.00 B/op	NaN	🔴
	NaN allocs/op	3.00 allocs/op	NaN	🔴
	NaN ns/op	2105.00 ns/op	NaN	🔴
And/size=1000000/density=dense-4	------	e307ea
	NaN B/op	112.00 B/op	NaN	🔴
	NaN allocs/op	3.00 allocs/op	NaN	🔴
	NaN ns/op	7537648.00 ns/op	NaN	🔴
And/size=1000000/density=medium-4	------	e307ea
	NaN B/op	112.00 B/op	NaN	🔴
	NaN allocs/op	3.00 allocs/op	NaN	🔴
	NaN ns/op	33169.00 ns/op	NaN	🔴
And/size=1000000/density=random-4	------	e307ea
	NaN B/op	112.00 B/op	NaN	🔴
	NaN allocs/op	3.00 allocs/op	NaN	🔴
	NaN ns/op	20814340.00 ns/op	NaN	🔴
And/size=1000000/density=sparse-4	------	e307ea
	NaN B/op	112.00 B/op	NaN	🔴
	NaN allocs/op	3.00 allocs/op	NaN	🔴
	NaN ns/op	2676.00 ns/op	NaN	🔴

[github-actions]

🔴 Performance Degradation

Some benchmarks have degraded compared to the previous run.
Click on Show table button to see full list of degraded benchmarks.

Show table

Name	Previous	Current	Ratio	Verdict
AggDeep/size=1000000-4	db7c17	2b6409
	31053.00 B/op	34683.00 B/op	1.12	🔴
And/size=1000/density=dense-4	------	2b6409
	NaN B/op	112.00 B/op	NaN	🔴
	NaN allocs/op	3.00 allocs/op	NaN	🔴
	NaN ns/op	7621.00 ns/op	NaN	🔴
And/size=1000/density=medium-4	------	2b6409
	NaN B/op	112.00 B/op	NaN	🔴
	NaN allocs/op	3.00 allocs/op	NaN	🔴
	NaN ns/op	992.20 ns/op	NaN	🔴
And/size=1000/density=random-4	------	2b6409
	NaN B/op	112.00 B/op	NaN	🔴
	NaN allocs/op	3.00 allocs/op	NaN	🔴
	NaN ns/op	10010.00 ns/op	NaN	🔴
And/size=1000/density=sparse-4	------	2b6409
	NaN B/op	112.00 B/op	NaN	🔴
	NaN allocs/op	3.00 allocs/op	NaN	🔴
	NaN ns/op	1692.00 ns/op	NaN	🔴
And/size=10000/density=dense-4	------	2b6409
	NaN B/op	112.00 B/op	NaN	🔴
	NaN allocs/op	3.00 allocs/op	NaN	🔴
	NaN ns/op	76026.00 ns/op	NaN	🔴
And/size=10000/density=medium-4	------	2b6409
	NaN B/op	112.00 B/op	NaN	🔴
	NaN allocs/op	3.00 allocs/op	NaN	🔴
	NaN ns/op	2991.00 ns/op	NaN	🔴
And/size=10000/density=random-4	------	2b6409
	NaN B/op	112.00 B/op	NaN	🔴
	NaN allocs/op	3.00 allocs/op	NaN	🔴
	NaN ns/op	174288.00 ns/op	NaN	🔴
And/size=10000/density=sparse-4	------	2b6409
	NaN B/op	112.00 B/op	NaN	🔴
	NaN allocs/op	3.00 allocs/op	NaN	🔴
	NaN ns/op	2110.00 ns/op	NaN	🔴
And/size=1000000/density=dense-4	------	2b6409
	NaN B/op	112.00 B/op	NaN	🔴
	NaN allocs/op	3.00 allocs/op	NaN	🔴
	NaN ns/op	7588378.00 ns/op	NaN	🔴
And/size=1000000/density=medium-4	------	2b6409
	NaN B/op	112.00 B/op	NaN	🔴
	NaN allocs/op	3.00 allocs/op	NaN	🔴
	NaN ns/op	33263.00 ns/op	NaN	🔴
And/size=1000000/density=random-4	------	2b6409
	NaN B/op	112.00 B/op	NaN	🔴
	NaN allocs/op	3.00 allocs/op	NaN	🔴
	NaN ns/op	20615877.00 ns/op	NaN	🔴
And/size=1000000/density=sparse-4	------	2b6409
	NaN B/op	112.00 B/op	NaN	🔴
	NaN allocs/op	3.00 allocs/op	NaN	🔴
	NaN ns/op	2664.00 ns/op	NaN	🔴