Metrics for Herbie run

Date:	Monday, October 2nd, 2023
Commit:	2a64fc33 on main
Hostname:	nightly with Racket 8.6
Seed:	2023275
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

series2.5min (31.8%)

Counts

738 → 10917

Calls

3308 calls:

Time	Variable		Point	Expression
2.5min	x	@	inf	(pow.f64 (pow.f64 (-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)) 3) 1/3)
377.0ms	x	@	inf	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
170.0ms	c	@	0	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2)) a)
162.0ms	N	@	-inf	(*.f64 (pow.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N))) 1/4) (sqrt.f64 (atan2.f64 1 (+.f64 1 (fma.f64 N N N)))))
93.0ms	a	@	-inf	(pow.f64 (*.f64 (neg.f64 a) c) 1/4)

Results

sample1.8min (22.9%)

Results

39.5s	33167×	body	2048	valid
35.2s	62686×	body	1024	valid
14.7s	86465×	body	256	valid
10.8s	33275×	body	512	valid
2.1s	13098×	body	256	infinite
1.9s	2137×	body	4096	valid
1.5s	1154×	body	1024	invalid
1.0s	7232×	body	256	unsamplable
781.0ms	5015×	body	256	invalid
603.0ms	310×	body	2048	unsamplable
402.0ms	156×	body	1024	infinite
367.0ms	621×	body	512	invalid
281.0ms	420×	body	1024	unsamplable
121.0ms	178×	body	512	infinite
86.0ms	222×	body	512	unsamplable
8.0ms	6×	body	2048	infinite
3.0ms	4×	body	2048	invalid

Bogosity

localize49.5s (10.3%)

Compiler: Compiled 13794 to 7045 computations (48.9% saved)

soundness41.8s (8.7%)

Rules

158272×	`fma-def`
99402×	`log-prod`
85212×	`fma-neg`
78686×	`associate-r`
65590×	`associate-l`

Stop Event

2×	saturated
218×	node limit

Compiler

Compiled 21575 to 13968 computations (35.3% saved)

eval36.6s (7.6%)

Compiler: Compiled 1194139 to 707016 computations (40.8% saved)

simplify21.8s (4.5%)

Algorithm

122×	egg-herbie

Rules

65190×	`fma-def`
50920×	`associate-r`
47458×	`log-prod`
46672×	`fma-neg`
45702×	`associate-l`

Stop Event

3×	done
27×	saturated
24×	fuel
95×	node limit

Counts

33994 → 34797

Compiler

Compiled 4163 to 2896 computations (30.4% saved)

prune18.5s (3.8%)

Counts: 49050 → 2093
Compiler: Compiled 102601 to 71450 computations (30.4% saved)

regimes17.6s (3.7%)

Counts

3935 → 386

Calls

42 calls:

4.5s	x
2.7s	eps
1.6s	b
1.3s	a
1.2s	c

Compiler

Compiled 44472 to 25413 computations (42.9% saved)

rewrite14.7s (3.1%)

Algorithm

95×	batch-egg-rewrite

Rules

58040×	`pow1`
55196×	`add-exp-log`
55184×	`log1p-expm1-u`
55144×	`expm1-log1p-u`
50124×	`add-log-exp`

Stop Event

95×	node limit

Counts

738 → 23077

preprocess8.1s (1.7%)

Algorithm

28×	egg-herbie

Rules

42740×	`fma-def`
13078×	`fma-neg`
9294×	`associate-/r*`
9220×	`div-sub`
9054×	`distribute-rgt-in`

Stop Event

13×	saturated
15×	node limit

Compiler

Compiled 9545 to 5884 computations (38.4% saved)

bsearch5.8s (1.2%)

Algorithm

147×	binary-search
40×	left-value

Stop Event

143×	narrow-enough
4×	predicate-same

Results

2.4s	13442×	body	256	valid
1.4s	2675×	body	1024	valid
542.0ms	656×	body	2048	valid
413.0ms	1197×	body	512	valid
262.0ms	2062×	body	256	invalid
175.0ms	704×	body	256	infinite
105.0ms	106×	body	1024	infinite
17.0ms	105×	body	256	unsamplable
16.0ms	20×	body	4096	valid
1.0ms	2×	body	1024	unsamplable
1.0ms	4×	body	512	unsamplable

Compiler

Compiled 28486 to 21042 computations (26.1% saved)

analyze3.5s (0.7%)

Algorithm

28×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	90.9%	9.1%	0%	0%	0%	0
27.4%	24.9%	66%	9.1%	0%	0%	0%	1
39%	34.7%	54.4%	9.1%	0%	1.8%	0%	2
51%	44.1%	42.4%	9.1%	0%	4.5%	0%	3
58.9%	50.1%	35%	9.1%	0%	5.8%	0%	4
65.5%	55%	29%	9.1%	0%	6.9%	0%	5
67.8%	56.6%	26.9%	9.1%	0%	7.5%	0%	6
70.2%	57.8%	24.6%	9.1%	0%	8.4%	0.1%	7
72.2%	59.3%	22.8%	9.1%	0%	8.7%	0.1%	8
73.5%	60%	21.6%	9.1%	0%	9.1%	0.3%	9
74.7%	60.5%	20.4%	9.1%	0%	9.7%	0.3%	10
76.2%	61.5%	19.2%	9.1%	0%	9.9%	0.4%	11
76.9%	61.8%	18.5%	9.1%	0%	10.2%	0.4%	12

Compiler

Compiled 375 to 278 computations (25.9% saved)

Herbie run

series2.5min (31.8%)

sample1.8min (22.9%)

localize49.5s (10.3%)

soundness41.8s (8.7%)

eval36.6s (7.6%)

simplify21.8s (4.5%)

prune18.5s (3.8%)

regimes17.6s (3.7%)

rewrite14.7s (3.1%)

preprocess8.1s (1.7%)

bsearch5.8s (1.2%)

analyze3.5s (0.7%)

end4.0ms (0%)

Profiling