Date:	Tuesday, June 27th, 2023
Commit:	330ce9fe on main
Hostname:	nightly with Racket 8.6
Seed:	2023178
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

Details

localize8.9min (37.1%)

Results

Compiler

Compiled 91252 to 43612 computations (52.2% saved)

sample7.5min (31.2%)

Results

2.6min	16956×	body	8192	exit
1.1min	64923×	body	1024	valid
57.1s	8189×	body	4096	valid
50.7s	269604×	body	256	valid
31.5s	13151×	body	2048	valid
28.5s	1590×	body	8192	valid
17.3s	32310×	body	512	valid
6.8s	4089×	body	1024	infinite
5.8s	27978×	body	256	unsamplable
5.5s	27261×	body	256	infinite
3.9s	618×	body	4096	infinite
3.4s	21080×	body	256	invalid
3.1s	772×	body	2048	infinite
2.2s	2193×	body	512	infinite
2.2s	5207×	body	2048	invalid
1.5s	3697×	body	1024	invalid
692.0ms	2152×	body	512	invalid
340.0ms	25×	body	8192	infinite
122.0ms	886×	body	256	precondition
4.0ms	7×	body	512	unsamplable
4.0ms	1×	body	2048	unsamplable
3.0ms	2×	body	1024	unsamplable
3.0ms	12×	body	4096	invalid

Bogosity

eval1.7min (7.1%)

Compiler: Compiled 6177938 to 3310477 computations (46.4% saved)

soundness1.4min (5.8%)

Rules

313324×	`fma-def`
187004×	`associate-r`
165878×	`log-prod`
155034×	`associate-l`
148088×	`fma-neg`

Stop Event

3×	unsound
14×	saturated
431×	node limit

Compiler

Compiled 54728 to 30936 computations (43.5% saved)

regimes1.1min (4.5%)

Counts

15584 → 816

Calls

137 calls:

5.0s	B
4.8s	phi2
3.9s	phi1
3.5s	lambda2
3.5s	b

Compiler

Compiled 339003 to 155370 computations (54.2% saved)

simplify53.2s (3.7%)

Algorithm

277×	egg-herbie

Rules

204814×	`fma-def`
116376×	`associate-r`
98024×	`associate-l`
97444×	`times-frac`
94228×	`fma-neg`

Stop Event

1×	unsound
65×	saturated
7×	done
41×	fuel
211×	node limit

Counts

79884 → 64325

Results

Compiler

Compiled 14662 to 9469 computations (35.4% saved)

prune49.6s (3.5%)

Counts: 135863 → 6886
Compiler: Compiled 703576 to 471139 computations (33% saved)

analyze33.6s (2.3%)

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)

bsearch22.8s (1.6%)

Algorithm

348×	binary-search
38×	left-value

Stop Event

343×	narrow-enough
5×	predicate-same

Results

9.5s	7744×	body	1024	valid
6.8s	27304×	body	256	valid
2.3s	1967×	body	2048	valid
1.6s	2799×	body	512	valid
987.0ms	799×	body	4096	valid
360.0ms	1816×	body	256	invalid
105.0ms	554×	body	256	infinite
72.0ms	118×	body	1024	infinite
60.0ms	155×	body	512	infinite
0.0ms	7×	body	256	unsamplable
0.0ms	1×	body	512	invalid

Compiler

Compiled 102375 to 74541 computations (27.2% saved)

rewrite20.4s (1.4%)

Algorithm

178×	batch-egg-rewrite

Rules

128960×	`pow1`
122094×	`add-exp-log`
122032×	`log1p-expm1-u`
121988×	`expm1-log1p-u`
118380×	`add-log-exp`

Stop Event

3×	unsound
175×	node limit

Counts

1733 → 41441

series12.4s (0.9%)

Counts

1733 → 39083

Calls

10080 calls:

Time	Variable		Point	Expression
135.0ms	A	@	inf	(log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 C (+.f64 A (hypot.f64 B (-.f64 A C)))) B)))))
121.0ms	lambda2	@	inf	(log1p.f64 (+.f64 (cos.f64 (+.f64 (-.f64 phi2 lambda1) lambda2)) (cos.f64 (+.f64 phi2 (-.f64 lambda1 lambda2)))))
90.0ms	h	@	inf	(log1p.f64 (.f64 1/3 (cos.f64 (fma.f64 2/3 (PI.f64) (.f64 (acos.f64 (/.f64 g h)) 1/3)))))
79.0ms	a	@	inf	(log.f64 (fma.f64 1/6 (pow.f64 b 3) (+.f64 1 (+.f64 (exp.f64 a) (+.f64 b (.f64 1/2 (.f64 b b)))))))
70.0ms	phi2	@	inf	(log.f64 (.f64 (acos.f64 (fma.f64 (cos.f64 (-.f64 lambda1 lambda2)) (.f64 (cos.f64 phi1) (cos.f64 phi2)) (*.f64 (sin.f64 phi1) (sin.f64 phi2)))) R))

end7.2s (0.5%)

Compiler: Compiled 31516 to 15932 computations (49.4% 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)

Herbie run

Details

localize8.9min (37.1%)

sample7.5min (31.2%)

eval1.7min (7.1%)

soundness1.4min (5.8%)

regimes1.1min (4.5%)

simplify53.2s (3.7%)

prune49.6s (3.5%)

analyze33.6s (2.3%)

bsearch22.8s (1.6%)

rewrite20.4s (1.4%)

series12.4s (0.9%)

end7.2s (0.5%)

preprocess4.8s (0.3%)

Profiling