Metrics for Herbie run

Date:	Thursday, July 25th, 2024
Commit:	3dbe455a on bsearch-speedup
Hostname:	nightly with Racket 8.11.1
Seed:	2024207
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

sample1.9min (35.4%)

Memory

899.2MiB live, 131 505.0MiB allocated

Samples

30.8s	40 971×	2	valid
23.7s	146 574×	0	invalid
19.1s	92 392×	1	valid
8.9s	4 879×	5	exit
8.8s	94 413×	0	valid
2.0s	3 275×	3	valid
468.0ms	2 279×	1	exit
374.0ms	4 160×	0	exit
76.0ms	97×	2	exit
44.0ms	117×	4	valid
16.0ms	8×	4	exit
12.0ms	5×	3	exit

Precisions

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

ival-tan: 13.8s (17.8% of total)

ival-pow: 9.1s (11.8% of total)

ival-mult: 5.6s (7.2% of total)

const: 5.6s (7.2% of total)

adjust: 4.9s (6.3% of total)

ival-cos: 4.7s (6.1% of total)

ival-sub: 4.6s (5.9% of total)

ival-div: 4.2s (5.5% of total)

ival-log: 3.3s (4.3% of total)

ival-add: 3.3s (4.2% of total)

ival-sin: 3.2s (4.1% of total)

ival-<=: 2.2s (2.9% of total)

ival-fabs: 2.2s (2.8% of total)

ival-exp: 2.2s (2.8% of total)

ival-expm1: 1.7s (2.2% of total)

ival-sqrt: 1.4s (1.9% of total)

ival-log1p: 1.4s (1.8% of total)

ival-<: 814.0ms (1.1% of total)

ival-and: 628.0ms (0.8% of total)

ival-neg: 503.0ms (0.7% of total)

exact: 428.0ms (0.6% of total)

ival-fmin: 397.0ms (0.5% of total)

ival-atan: 367.0ms (0.5% of total)

ival->: 364.0ms (0.5% of total)

ival-cbrt: 243.0ms (0.3% of total)

ival-assert: 171.0ms (0.2% of total)

ival-true: 67.0ms (0.1% of total)

Bogosity

simplify1.2min (21.2%)

Memory

15.5MiB live, 79 605.5MiB allocated

Algorithm

242×	egg-herbie

Rules

1 892 576×	`lower-fma.f32`
1 892 072×	`lower-fma.f64`
719 040×	`lower-*.f32`
718 144×	`lower-*.f64`
411 222×	`lower-+.f32`

Stop Event

316×	iter limit
157×	node limit
90×	saturated

Counts

22 440 → 22 041

rewrite38.5s (11.8%)

Memory

743.5MiB live, 46 960.0MiB allocated

Algorithm

107×	batch-egg-rewrite

Rules

495 970×	`lower-fma.f32`
495 470×	`lower-fma.f64`
412 458×	`lower-*.f32`
411 578×	`lower-*.f64`
357 796×	`lower-/.f32`

Stop Event

221×	iter limit
104×	node limit
4×	saturated
1×	unsound

Counts

1 349 → 72 328

soundness29.5s (9.1%)

Memory

53.2MiB live, 19 199.1MiB allocated

Rules

1 133 912×	`lower-fma.f32`
1 133 652×	`lower-fma.f64`
578 326×	`lower-*.f32`
577 884×	`lower-*.f64`
299 300×	`lower-+.f32`

Stop Event

193×	iter limit
128×	node limit
23×	fuel
5×	done
2×	saturated

Compiler

Compiled 9 094 to 4 778 computations (47.5% saved)

eval19.1s (5.9%)

Memory: 546.6MiB live, 25 530.3MiB allocated
Compiler: Compiled 3 134 934 to 257 711 computations (91.8% saved)

prune17.9s (5.5%)

Memory: -838.1MiB live, 26 500.8MiB allocated
Counts: 111 004 → 2 184
Compiler: Compiled 80 814 to 39 035 computations (51.7% saved)

localize15.0s (4.6%)

Memory

-421.4MiB live, 19 700.0MiB allocated

Samples

3.5s	14 979×	0	valid
3.0s	6 706×	1	valid
2.7s	3 421×	2	valid
874.0ms	708×	3	valid
348.0ms	1 332×	0	invalid
111.0ms	90×	5	exit
52.0ms	126×	0	exit
17.0ms	12×	1	exit
16.0ms	18×	4	valid

Compiler

Compiled 16 202 to 2 660 computations (83.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.7s

ival-mult: 1.7s (22% of total)

ival-div: 1.3s (17% of total)

ival-add: 841.0ms (11% of total)

adjust: 766.0ms (10% of total)

ival-tan: 488.0ms (6.4% of total)

const: 434.0ms (5.7% of total)

ival-cos: 391.0ms (5.1% of total)

ival-sub: 349.0ms (4.6% of total)

ival-pow: 320.0ms (4.2% of total)

ival-log: 214.0ms (2.8% of total)

ival-sqrt: 165.0ms (2.2% of total)

ival-sin: 156.0ms (2% of total)

ival-exp: 129.0ms (1.7% of total)

ival-log1p: 78.0ms (1% of total)

ival-neg: 75.0ms (1% of total)

exact: 46.0ms (0.6% of total)

ival-pow2: 44.0ms (0.6% of total)

ival-cbrt: 42.0ms (0.5% of total)

ival-expm1: 35.0ms (0.5% of total)

ival-cosh: 29.0ms (0.4% of total)

ival-true: 23.0ms (0.3% of total)

ival-atan2: 22.0ms (0.3% of total)

ival-atan: 12.0ms (0.2% of total)

ival-assert: 12.0ms (0.2% of total)

ival-fabs: 4.0ms (0.1% of total)

explain6.4s (2%)

Memory

-200.3MiB live, 7 211.8MiB allocated

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`#f`	cancellation	4146	39
`log.f64`	`#f`	sensitivity	767	0
`/.f64`	`#f`	u/u	435	0
`sqrt.f64`	`#f`	oflow-rescue	434	0
`+.f64`	`#f`	cancellation	318	0
`/.f64`	`#f`	u/n	93	0
`pow.f64`	`(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))`	sensitivity	80	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	27	0
↳	`(*.f64 b eps)`	underflow	148
↳	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`	underflow	147
↳	`(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`	underflow	148
↳	`(.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))`	underflow	237
↳	`(*.f64 a eps)`	underflow	147
`sqrt.f64`	`#f`	uflow-rescue	24	0
`-.f64`	`#f`	nan-rescue	16	0
`cos.f64`	`(cos.f64 (+.f64 x eps))`	sensitivity	4	1
`/.f64`	`(/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))`	o/o	4	0
↳	`(exp.f64 (*.f64 #s(literal 2 binary64) x))`	overflow	4
↳	`(-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))`	overflow	4
↳	`(exp.f64 x)`	overflow	4
↳	`(-.f64 (exp.f64 x) #s(literal 1 binary64))`	overflow	4
`sin.f64`	`(sin.f64 (+.f64 x eps))`	sensitivity	4	0
`tan.f64`	`(tan.f64 (+.f64 x eps))`	sensitivity	4	0
`/.f64`	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`	n/o	3	0
↳	`(*.f64 x x)`	overflow	80
`exp.f64`	`#f`	sensitivity	2	3

Confusion

	Predicted +	Predicted -
+	5226	15
-	139	1788

Precision

0.9740913327120224

Recall

0.9971379507727532

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	5226	11	4
-	139	30	1758

Precision?

0.9687384387717352

Recall?

0.9992367868727342

Freqs

test

number	freq
0	1803
1	4573
2	642
3	96
4	54

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

1.8s	2 498×	2	valid
1.4s	5 840×	1	valid
560.0ms	5 764×	0	valid
150.0ms	226×	3	valid
3.0ms	8×	4	valid

Compiler

Compiled 2 522 to 980 computations (61.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0s

ival-tan: 936.0ms (31.2% of total)

adjust: 262.0ms (8.7% of total)

ival-div: 233.0ms (7.8% of total)

ival-cos: 223.0ms (7.4% of total)

ival-log: 212.0ms (7.1% of total)

ival-sin: 193.0ms (6.4% of total)

ival-sub: 162.0ms (5.4% of total)

ival-exp: 161.0ms (5.4% of total)

ival-pow: 143.0ms (4.8% of total)

ival-add: 113.0ms (3.8% of total)

ival-mult: 100.0ms (3.3% of total)

ival-log1p: 81.0ms (2.7% of total)

ival-sqrt: 61.0ms (2% of total)

ival-neg: 24.0ms (0.8% of total)

ival-expm1: 24.0ms (0.8% of total)

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

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

exact: 13.0ms (0.4% of total)

ival-true: 13.0ms (0.4% of total)

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

preprocess4.8s (1.5%)

Memory

-130.5MiB live, 6 104.0MiB 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 9 580 to 3 510 computations (63.4% saved)

regimes4.6s (1.4%)

Memory

-77.9MiB live, 6 757.6MiB allocated

Counts

4 708 → 326

Calls

43 calls:

1.2s	x
397.0ms	eps
260.0ms	a
191.0ms	(/.f64 #s(literal 1 binary64) n)
167.0ms	c

Compiler

Compiled 3 047 to 2 024 computations (33.6% saved)

series2.9s (0.9%)

Memory

15.6MiB live, 3 893.6MiB allocated

Counts

1 349 → 22 440

Calls

4560 calls:

Time	Variable		Point	Expression
93.0ms	x	@	0	(pow (exp 1/3) (log x))
61.0ms	a	@	inf	(* a (* c -4))
43.0ms	n	@	0	(* n (log n))
42.0ms	x	@	0	(pow x (/ 1 n))
40.0ms	N	@	0	(log (atan2 1 (+ 1 (+ (* N N) N))))

analyze1.6s (0.5%)

Memory

-150.1MiB live, 2 096.4MiB 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)

bsearch965.0ms (0.3%)

Memory

56.8MiB live, 1 320.8MiB allocated

Algorithm

68×	binary-search
45×	left-value

Stop Event

65×	narrow-enough
3×	predicate-same

Samples

327.0ms	3 344×	0	valid
130.0ms	837×	1	valid
82.0ms	237×	2	valid
78.0ms	730×	0	invalid
3.0ms	12×	3	valid
2.0ms	26×	0	exit
1.0ms	2×	4	valid
0.0ms	1×	1	exit

Compiler

Compiled 13 093 to 9 612 computations (26.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 407.0ms

ival-pow: 85.0ms (20.9% of total)

ival-mult: 80.0ms (19.7% of total)

ival-div: 45.0ms (11.1% of total)

ival-sqrt: 45.0ms (11.1% of total)

ival-sub: 43.0ms (10.6% of total)

adjust: 22.0ms (5.4% of total)

ival-cos: 21.0ms (5.2% of total)

ival-add: 20.0ms (4.9% of total)

ival-neg: 19.0ms (4.7% of total)

ival-sin: 6.0ms (1.5% of total)

ival-cbrt: 5.0ms (1.2% of total)

ival-expm1: 4.0ms (1% of total)

ival-true: 4.0ms (1% of total)

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

exact: 3.0ms (0.7% of total)

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

end0.0ms (0%)

Memory: 0.5MiB live, 0.4MiB allocated

sample1.9min (35.4%)

simplify1.2min (21.2%)

rewrite38.5s (11.8%)

soundness29.5s (9.1%)

eval19.1s (5.9%)

prune17.9s (5.5%)

localize15.0s (4.6%)

explain6.4s (2%)

preprocess4.8s (1.5%)

regimes4.6s (1.4%)

series2.9s (0.9%)

analyze1.6s (0.5%)

bsearch965.0ms (0.3%)

end0.0ms (0%)

Profiling