Metrics for Herbie run

Date:	Saturday, July 8th, 2023
Commit:	1e3c827b on main
Hostname:	nightly with Racket 8.6
Seed:	2023189
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

localize8.2min (34.3%)

Results

Compiler

Compiled 90845 to 44031 computations (51.5% saved)

sample7.5min (31.6%)

Results

2.6min	16628×	body	8192	exit
1.2min	64777×	body	1024	valid
56.4s	8218×	body	4096	valid
51.9s	269735×	body	256	valid
32.3s	13463×	body	2048	valid
28.5s	1610×	body	8192	valid
17.2s	32243×	body	512	valid
6.9s	4374×	body	1024	infinite
5.9s	27941×	body	256	unsamplable
5.5s	26755×	body	256	infinite
3.9s	789×	body	2048	infinite
3.8s	548×	body	4096	infinite
3.4s	20821×	body	256	invalid
2.0s	5395×	body	2048	invalid
1.9s	2150×	body	512	infinite
1.7s	3826×	body	1024	invalid
677.0ms	2221×	body	512	invalid
346.0ms	24×	body	8192	infinite
74.0ms	837×	body	256	precondition
7.0ms	11×	body	512	unsamplable
5.0ms	1×	body	4096	unsamplable
4.0ms	3×	body	1024	unsamplable
2.0ms	9×	body	4096	invalid

Bogosity

eval1.8min (7.7%)

Compiler: Compiled 6290439 to 3394688 computations (46% saved)

soundness1.6min (6.6%)

Rules

358364×	`fma-def`
189142×	`associate-r`
166812×	`times-frac`
162018×	`*-commutative`
156940×	`log-prod`

Stop Event

2×	unsound
14×	saturated
456×	node limit

Compiler

Compiled 56890 to 31581 computations (44.5% saved)

regimes1.3min (5.5%)

Counts

16977 → 944

Calls

138 calls:

5.7s	B
5.2s	phi1
4.4s	phi2
4.3s	lambda1
4.2s	lambda2

Compiler

Compiled 381673 to 183365 computations (52% saved)

simplify49.6s (3.5%)

Algorithm

280×	egg-herbie

Rules

204032×	`fma-def`
121008×	`associate-r`
103466×	`associate-l`
101906×	`times-frac`
99146×	`*-commutative`

Stop Event

65×	saturated
4×	done
44×	fuel
215×	node limit

Counts

82743 → 67535

Compiler

Compiled 15935 to 10024 computations (37.1% saved)

prune46.8s (3.3%)

Counts: 138675 → 7103
Compiler: Compiled 752932 to 505036 computations (32.9% saved)

analyze35.1s (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)

bsearch26.9s (1.9%)

Algorithm

402×	binary-search
60×	left-value

Stop Event

394×	narrow-enough
8×	predicate-same

Results

9.8s	7768×	body	1024	valid
7.8s	31716×	body	256	valid
3.2s	3851×	body	512	valid
2.2s	1823×	body	2048	valid
579.0ms	230×	body	1024	infinite
573.0ms	542×	body	4096	valid
459.0ms	854×	body	256	infinite
435.0ms	2448×	body	256	invalid
220.0ms	140×	body	512	infinite
204.0ms	20×	body	4096	infinite
199.0ms	42×	body	2048	infinite

Compiler

Compiled 126742 to 90806 computations (28.4% saved)

rewrite21.3s (1.5%)

Algorithm

181×	batch-egg-rewrite

Rules

131122×	`pow1`
124192×	`add-exp-log`
124130×	`log1p-expm1-u`
124070×	`expm1-log1p-u`
118958×	`add-log-exp`

Stop Event

3×	unsound
178×	node limit

Counts

1778 → 43081

series12.5s (0.9%)

Counts

1778 → 39611

Calls

10587 calls:

Time	Variable		Point	Expression
159.0ms	angle	@	inf	(log.f64 (pow.f64 (.f64 a (sin.f64 (.f64 1/180 (*.f64 angle (PI.f64))))) 2))
131.0ms	h	@	inf	(log1p.f64 (.f64 1/3 (cos.f64 (fma.f64 (acos.f64 (/.f64 g h)) 1/3 (.f64 2/3 (PI.f64))))))
85.0ms	g	@	inf	(log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (cos.f64 (fma.f64 1/3 (acos.f64 (/.f64 g h)) (*.f64 2/3 (PI.f64))))))))
81.0ms	x-scale	@	0	(log.f64 (/.f64 (pow.f64 (.f64 a b) 2) (pow.f64 (.f64 y-scale x-scale) 2)))
67.0ms	lambda1	@	inf	(-.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 (-.f64 lambda2 lambda1)) (cos.f64 phi2) 1))) 1)

end7.7s (0.5%)

Compiler: Compiled 33580 to 16230 computations (51.7% saved)

preprocess5.0s (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)

localize8.2min (34.3%)

sample7.5min (31.6%)

eval1.8min (7.7%)

soundness1.6min (6.6%)

regimes1.3min (5.5%)

simplify49.6s (3.5%)

prune46.8s (3.3%)

analyze35.1s (2.4%)

bsearch26.9s (1.9%)

rewrite21.3s (1.5%)

series12.5s (0.9%)

end7.7s (0.5%)

preprocess5.0s (0.3%)

Profiling