Metrics for Herbie run

Date:	Friday, June 30th, 2023
Commit:	f2ddb160 on minor-2.0
Hostname:	nightly with Racket 8.6
Seed:	2023181
Parameters:	256 points for 4 iterations
Flags:	`reduce:regimesreduce:avg-errorreduce:binary-searchreduce:branch-expressionssetup:simplifysetup:searchrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:numericsrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:simplifygenerate:proofs` default

localize8.7min (35.9%)

Results

Compiler

Compiled 92051 to 43762 computations (52.5% saved)

sample7.5min (31.2%)

Results

2.7min	16904×	body	8192	exit
1.1min	64664×	body	1024	valid
56.7s	8281×	body	4096	valid
54.1s	269153×	body	256	valid
32.0s	13411×	body	2048	valid
27.6s	1592×	body	8192	valid
16.7s	32491×	body	512	valid
7.3s	4108×	body	1024	infinite
5.8s	28026×	body	256	unsamplable
5.5s	27426×	body	256	infinite
4.3s	584×	body	4096	infinite
3.5s	21504×	body	256	invalid
3.3s	810×	body	2048	infinite
2.2s	2206×	body	512	infinite
2.0s	5395×	body	2048	invalid
1.4s	3768×	body	1024	invalid
645.0ms	2226×	body	512	invalid
494.0ms	32×	body	8192	infinite
75.0ms	897×	body	256	precondition
33.0ms	1×	body	8192	unsamplable
9.0ms	1×	body	4096	unsamplable
4.0ms	3×	body	1024	unsamplable
3.0ms	4×	body	512	unsamplable
2.0ms	7×	body	4096	invalid

Bogosity

eval2.1min (8.5%)

Compiler: Compiled 7014985 to 3739102 computations (46.7% saved)

soundness1.5min (6.1%)

Rules

311940×	`fma-def`
173052×	`associate-r`
157654×	`log-prod`
155240×	`*-commutative`
144642×	`associate-l`

Stop Event

5×	unsound
12×	saturated
433×	node limit

Compiler

Compiled 57095 to 33392 computations (41.5% saved)

regimes1.1min (4.5%)

Counts

16122 → 864

Calls

135 calls:

5.6s	B
4.6s	phi1
4.0s	b
3.9s	phi2
3.6s	a

Compiler

Compiled 363436 to 173764 computations (52.2% saved)

simplify52.6s (3.6%)

Algorithm

273×	egg-herbie

Rules

203270×	`fma-def`
114906×	`associate-r`
99314×	`associate-l`
91986×	`fma-neg`
90154×	`*-commutative`

Stop Event

2×	unsound
65×	saturated
6×	done
42×	fuel
206×	node limit

Counts

79175 → 64920

Compiler

Compiled 16460 to 10599 computations (35.6% saved)

prune48.1s (3.3%)

Counts: 139925 → 6865
Compiler: Compiled 764338 to 514010 computations (32.8% saved)

analyze34.2s (2.4%)

Algorithm

53×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	79.4%	20.6%	0%	0%	0%	0
19.6%	15.5%	63.8%	20.6%	0%	0%	0%	1
27.1%	21.4%	57.6%	21%	0%	0%	0%	2
36.8%	28.5%	48.9%	21.2%	0%	1.4%	0%	3
42.3%	32.2%	43.9%	21.2%	0%	2.8%	0%	4
47.2%	35.4%	39.6%	21.2%	0%	3.8%	0%	5
50.2%	37.2%	36.9%	21.2%	0%	4.6%	0%	6
53.6%	39.3%	34%	21.2%	0%	5.4%	0.1%	7
55.3%	40.3%	32.5%	21.3%	0%	5.8%	0.1%	8
58.3%	42%	30.1%	21.3%	0%	6.4%	0.2%	9
59.6%	42.8%	29%	21.3%	0%	6.7%	0.2%	10
61.9%	44.2%	27.2%	21.3%	0%	7.1%	0.3%	11
63.3%	45%	26%	21.3%	0%	7.4%	0.3%	12

Compiler

Compiled 1919 to 1338 computations (30.3% saved)

rewrite21.1s (1.5%)

Algorithm

174×	batch-egg-rewrite

Rules

123154×	`pow1`
116812×	`add-exp-log`
116742×	`log1p-expm1-u`
116706×	`expm1-log1p-u`
111756×	`add-log-exp`

Stop Event

2×	unsound
172×	node limit

Counts

1728 → 40452

bsearch19.4s (1.3%)

Algorithm

350×	binary-search
66×	left-value

Stop Event

342×	narrow-enough
8×	predicate-same

Results

6.3s	6164×	body	1024	valid
6.1s	28731×	body	256	valid
2.1s	2275×	body	2048	valid
2.0s	3023×	body	512	valid
793.0ms	800×	body	4096	valid
600.0ms	3114×	body	256	invalid
161.0ms	1119×	body	256	infinite
119.0ms	298×	body	512	infinite
115.0ms	198×	body	1024	infinite

Compiler

Compiled 113476 to 80415 computations (29.1% saved)

series12.4s (0.9%)

Counts

1728 → 38672

Calls

9990 calls:

Time	Variable		Point	Expression
302.0ms	t	@	-inf	(*.f64 eh (sin.f64 t))
121.0ms	lambda1	@	inf	(-.f64 (exp.f64 (log1p.f64 (.f64 R (acos.f64 (fma.f64 (sin.f64 phi1) (sin.f64 phi2) (.f64 (cos.f64 phi1) (cos.f64 (-.f64 lambda2 lambda1)))))))) 1)
106.0ms	b	@	0	(/.f64 b (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 a))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 a)))))
82.0ms	y-scale	@	0	(log.f64 (.f64 (.f64 8 (pow.f64 (pow.f64 (.f64 a b) 2) 2)) (pow.f64 (.f64 x-scale y-scale) -2)))
75.0ms	lambda1	@	inf	(log.f64 (*.f64 (sin.f64 (-.f64 lambda1 lambda2)) (cos.f64 phi2)))

end7.6s (0.5%)

Compiler: Compiled 34706 to 17886 computations (48.5% saved)

preprocess4.8s (0.3%)

Algorithm

102×	egg-herbie

Rules

64868×	`fma-def`
19882×	`div-sub`
18336×	`sub-neg`
17302×	`distribute-lft-neg-in`
16928×	`unsub-neg`

Stop Event

57×	saturated
9×	unsound
36×	node limit

Compiler

Compiled 1762 to 1250 computations (29.1% saved)

localize8.7min (35.9%)

sample7.5min (31.2%)

eval2.1min (8.5%)

soundness1.5min (6.1%)

regimes1.1min (4.5%)

simplify52.6s (3.6%)

prune48.1s (3.3%)

analyze34.2s (2.4%)

rewrite21.1s (1.5%)

bsearch19.4s (1.3%)

series12.4s (0.9%)

end7.6s (0.5%)

preprocess4.8s (0.3%)

Profiling