Metrics for Herbie run

Date:	Saturday, August 3rd, 2024
Commit:	2.2 on release
Hostname:	nightly with Racket 8.11.1
Seed:	2024216
Parameters:	256 points for 4 iterations
Flags:	`localize:costslocalize:errorsreduce:regimesreduce:avg-errorreduce:binary-searchreduce:branch-expressionssetup:simplifysetup:searchrules:arithmeticrules:polynomialsrules:fractionsrules:exponentsrules:trigonometryrules:hyperbolicrules:numericsrules:specialrules:boolsrules:branchesgenerate:rrgenerate:taylorgenerate:simplifygenerate:proofs` default

sample1.8min (34.7%)

Memory

494.0MiB live, 128 209.4MiB allocated

Samples

29.7s	41 383×	2	valid
22.7s	143 811×	0	invalid
19.1s	92 308×	1	valid
8.9s	4 922×	5	exit
8.3s	94 541×	0	valid
2.1s	2 928×	3	valid
478.0ms	2 236×	1	exit
323.0ms	4 074×	0	exit
8.0ms	8×	4	valid
7.0ms	5×	4	exit
5.0ms	3×	3	exit
4.0ms	2×	2	exit

Precisions

Click to see histograms. Total time spent on operations: 1.3min

ival-tan: 13.4s (17.6% of total)

ival-pow: 9.0s (11.8% of total)

adjust: 5.4s (7% of total)

ival-mult: 5.1s (6.6% of total)

ival-cos: 4.7s (6.2% of total)

ival-div: 4.6s (6.1% of total)

const: 4.6s (6% of total)

ival-sub: 3.9s (5.1% of total)

ival-log: 3.8s (5% of total)

ival-sin: 3.2s (4.2% of total)

ival-add: 3.1s (4% of total)

ival-exp: 2.3s (3% of total)

ival-fabs: 2.3s (3% of total)

ival-<=: 2.1s (2.8% of total)

ival-expm1: 2.0s (2.6% of total)

ival-log1p: 1.3s (1.6% of total)

ival-sqrt: 1.2s (1.6% of total)

ival-<: 822.0ms (1.1% of total)

ival-fmin: 749.0ms (1% of total)

ival-atan: 602.0ms (0.8% of total)

ival-and: 594.0ms (0.8% of total)

ival-cbrt: 362.0ms (0.5% of total)

ival-neg: 344.0ms (0.5% of total)

exact: 329.0ms (0.4% of total)

ival->: 316.0ms (0.4% of total)

ival-assert: 152.0ms (0.2% of total)

ival-true: 65.0ms (0.1% of total)

Bogosity

simplify1.1min (21.2%)

Memory

65.7MiB live, 84 859.1MiB allocated

Algorithm

238×	egg-herbie

Rules

1 977 014×	`lower-fma.f32`
1 976 420×	`lower-fma.f64`
731 314×	`lower-*.f32`
730 322×	`lower-*.f64`
435 360×	`lower-+.f32`

Stop Event

315×	iter limit
159×	node limit
79×	saturated

Counts

24 084 → 23 644

rewrite38.4s (12%)

Memory

-383.1MiB live, 47 601.8MiB allocated

Algorithm

105×	batch-egg-rewrite

Rules

508 234×	`lower-fma.f32`
507 636×	`lower-fma.f64`
407 958×	`lower-*.f32`
406 972×	`lower-*.f64`
368 820×	`lower-/.f32`

Stop Event

217×	iter limit
103×	node limit
1×	saturated
1×	unsound

Counts

1 453 → 72 095

soundness29.4s (9.2%)

Memory

94.3MiB live, 21 490.2MiB allocated

Rules

1 145 910×	`lower-fma.f32`
1 145 544×	`lower-fma.f64`
595 904×	`lower-*.f32`
595 306×	`lower-*.f64`
330 860×	`lower-/.f32`

Stop Event

210×	iter limit
135×	node limit
22×	fuel
6×	done
2×	saturated

Compiler

Compiled 10 422 to 5 428 computations (47.9% saved)

eval17.9s (5.6%)

Memory: 554.8MiB live, 27 309.0MiB allocated
Compiler: Compiled 3 455 760 to 281 996 computations (91.8% saved)

prune16.4s (5.1%)

Memory: -376.2MiB live, 26 779.3MiB allocated
Counts: 113 259 → 2 105
Compiler: Compiled 78 553 to 37 384 computations (52.4% saved)

localize15.9s (5%)

Memory

190.5MiB live, 20 891.9MiB allocated

Samples

3.9s	7 400×	1	valid
3.2s	3 727×	2	valid
2.8s	13 472×	0	valid
330.0ms	1 507×	0	invalid
313.0ms	150×	3	valid
245.0ms	617×	1	exit
43.0ms	7×	5	exit

Compiler

Compiled 20 647 to 2 889 computations (86% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.3s

ival-mult: 1.5s (18.2% of total)

ival-div: 989.0ms (11.9% of total)

ival-add: 917.0ms (11% of total)

adjust: 898.0ms (10.8% of total)

ival-log: 694.0ms (8.3% of total)

ival-cos: 521.0ms (6.3% of total)

const: 480.0ms (5.8% of total)

ival-tan: 413.0ms (5% of total)

ival-sub: 403.0ms (4.8% of total)

ival-pow: 252.0ms (3% of total)

ival-sin: 241.0ms (2.9% of total)

ival-cbrt: 216.0ms (2.6% of total)

ival-sqrt: 191.0ms (2.3% of total)

ival-exp: 165.0ms (2% of total)

ival-log1p: 99.0ms (1.2% of total)

ival-neg: 91.0ms (1.1% of total)

ival-pow2: 77.0ms (0.9% of total)

ival-cosh: 38.0ms (0.5% of total)

exact: 37.0ms (0.4% of total)

ival-expm1: 26.0ms (0.3% of total)

ival-atan2: 24.0ms (0.3% of total)

ival-true: 22.0ms (0.3% of total)

ival-atan: 14.0ms (0.2% of total)

ival-assert: 12.0ms (0.1% of total)

ival-fabs: 3.0ms (0% of total)

explain6.0s (1.9%)

Memory

-113.6MiB live, 7 621.9MiB allocated

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`#f`	cancellation	4171	29
`log.f64`	`#f`	sensitivity	763	0
`/.f64`	`#f`	u/u	419	0
`sqrt.f64`	`#f`	oflow-rescue	356	0
`+.f64`	`#f`	cancellation	330	0
`/.f64`	`#f`	u/n	132	0
`pow.f64`	`(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))`	sensitivity	61	0
`sqrt.f64`	`#f`	uflow-rescue	28	0
`/.f64`	`(/.f64 (.f64 eps (-.f64 (exp.f64 (.f64 (+.f64 a b) eps)) #s(literal 1 binary64))) (.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))))`	n/u	19	0
↳	`(*.f64 b eps)`	underflow	136
↳	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`	underflow	146
↳	`(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`	underflow	136
↳	`(.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))`	underflow	234
↳	`(*.f64 a eps)`	underflow	146
`-.f64`	`#f`	nan-rescue	12	0
`/.f64`	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`	n/o	6	0
↳	`(*.f64 x x)`	overflow	58
`cos.f64`	`(cos.f64 (+.f64 x eps))`	sensitivity	2	1
`sin.f64`	`(sin.f64 (+.f64 x eps))`	sensitivity	2	0
`tan.f64`	`(tan.f64 (+.f64 x eps))`	sensitivity	2	0

Confusion

	Predicted +	Predicted -
+	5187	21
-	114	1846

Precision

0.978494623655914

Recall

0.9959677419354839

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	5187	8	13
-	114	20	1826

Precision?

0.9748545693375867

Recall?

0.9975038402457758

Freqs

test

number	freq
0	1867
1	4512
2	631
3	103
4	55

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	28	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

1.7s	2 704×	2	valid
1.3s	5 648×	1	valid
535.0ms	5 820×	0	valid
104.0ms	164×	3	valid

Compiler

Compiled 2 522 to 980 computations (61.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.9s

ival-tan: 608.0ms (20.6% of total)

ival-sub: 422.0ms (14.3% of total)

ival-log: 280.0ms (9.5% of total)

adjust: 253.0ms (8.6% of total)

ival-cos: 238.0ms (8.1% of total)

ival-div: 197.0ms (6.7% of total)

ival-exp: 172.0ms (5.8% of total)

ival-sin: 159.0ms (5.4% of total)

ival-add: 153.0ms (5.2% of total)

ival-pow: 99.0ms (3.4% of total)

ival-mult: 95.0ms (3.2% of total)

ival-sqrt: 91.0ms (3.1% of total)

ival-log1p: 59.0ms (2% of total)

ival-expm1: 40.0ms (1.4% of total)

ival-atan: 23.0ms (0.8% of total)

ival-neg: 17.0ms (0.6% of total)

ival-cbrt: 15.0ms (0.5% of total)

ival-true: 12.0ms (0.4% of total)

exact: 8.0ms (0.3% of total)

ival-assert: 6.0ms (0.2% of total)

regimes5.5s (1.7%)

Memory

114.0MiB live, 6 262.1MiB allocated

Counts

5 096 → 369

Calls

43 calls:

1.5s	x
501.0ms	eps
330.0ms	b
308.0ms	(/.f64 #s(literal 1 binary64) n)
238.0ms	n

Compiler

Compiled 3 297 to 2 189 computations (33.6% saved)

preprocess5.1s (1.6%)

Memory

137.3MiB live, 5 887.6MiB allocated

Algorithm

28×	egg-herbie

Rules

27 478×	`lower-fma.f64`
27 478×	`lower-fma.f32`
10 768×	`div-sub`
10 444×	`sub-neg`
9 190×	`lower-*.f32`

Stop Event

56×	iter limit
50×	saturated
6×	node limit

Compiler

Compiled 10 440 to 3 552 computations (66% saved)

series3.5s (1.1%)

Memory

29.5MiB live, 3 767.7MiB allocated

Counts

1 453 → 24 084

Calls

4758 calls:

Time	Variable		Point	Expression
360.0ms	x	@	-inf	(- (exp (* a (* x 4))) 1)
87.0ms	a	@	-inf	(/ (+ 1 (/ a b)) a)
75.0ms	n	@	0	(/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)
63.0ms	N	@	inf	(log (/ 1 (atan2 1 (+ (* N N) (+ N 1)))))
59.0ms	n	@	0	(* n (log n))

analyze1.7s (0.5%)

Memory

187.6MiB live, 2 291.2MiB allocated

Algorithm

28×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	61.1%	38.9%	0%	0%	0%	0
7.4%	4.5%	56.6%	38.9%	0%	0%	0%	1
22.3%	13.6%	47.5%	38.9%	0%	0%	0%	2
40.2%	23.5%	34.9%	38.9%	0%	2.7%	0%	3
53.4%	31.1%	27.2%	38.9%	0%	2.8%	0%	4
63%	36.3%	21.3%	38.9%	0%	3.6%	0%	5
65.9%	37.5%	19.4%	38.9%	0%	4.2%	0%	6
70.4%	38.8%	16.3%	38.9%	0%	6%	0%	7
73.6%	40.2%	14.4%	38.9%	0%	6.5%	0%	8
76.3%	40.9%	12.7%	38.9%	0%	7.5%	0%	9
78.4%	41.4%	11.4%	38.9%	0%	8.3%	0%	10
81.1%	42.4%	9.9%	38.9%	0%	8.8%	0%	11
82.3%	42.7%	9.2%	38.9%	0%	9.3%	0%	12

Compiler

Compiled 483 to 337 computations (30.2% saved)

bsearch1.1s (0.4%)

Memory

-100.1MiB live, 1 436.5MiB allocated

Algorithm

86×	binary-search
41×	left-value

Stop Event

83×	narrow-enough
3×	predicate-same

Samples

347.0ms	4 110×	0	valid
106.0ms	302×	2	valid
88.0ms	617×	1	valid
63.0ms	828×	0	invalid
2.0ms	11×	3	valid
2.0ms	18×	0	exit

Compiler

Compiled 18 569 to 13 439 computations (27.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 429.0ms

ival-mult: 98.0ms (22.8% of total)

ival-div: 66.0ms (15.4% of total)

ival-sub: 54.0ms (12.6% of total)

ival-pow: 43.0ms (10% of total)

adjust: 37.0ms (8.6% of total)

ival-sqrt: 35.0ms (8.2% of total)

ival-neg: 27.0ms (6.3% of total)

ival-cos: 26.0ms (6.1% of total)

ival-add: 20.0ms (4.7% of total)

ival-true: 4.0ms (0.9% of total)

ival-cbrt: 3.0ms (0.7% of total)

ival-expm1: 3.0ms (0.7% of total)

ival-sin: 3.0ms (0.7% of total)

exact: 3.0ms (0.7% of total)

ival-exp: 2.0ms (0.5% of total)

ival-assert: 2.0ms (0.5% of total)

ival-log1p: 1.0ms (0.2% of total)

ival-log: 1.0ms (0.2% of total)

end0.0ms (0%)

Memory: 0.4MiB live, 0.3MiB allocated

sample1.8min (34.7%)

simplify1.1min (21.2%)

rewrite38.4s (12%)

soundness29.4s (9.2%)

eval17.9s (5.6%)

prune16.4s (5.1%)

localize15.9s (5%)

explain6.0s (1.9%)

regimes5.5s (1.7%)

preprocess5.1s (1.6%)

series3.5s (1.1%)

analyze1.7s (0.5%)

bsearch1.1s (0.4%)

end0.0ms (0%)

Profiling