Metrics for Herbie run

Date:	Tuesday, August 6th, 2024
Commit:	2.2 on release
Hostname:	nightly with Racket 8.11.1
Seed:	2024219
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 (34.4%)

Memory

378.1MiB live, 126 963.0MiB allocated

Samples

27.5s	41 371×	2	valid
24.8s	145 198×	0	invalid
19.7s	92 238×	1	valid
9.3s	4 838×	5	exit
8.5s	94 570×	0	valid
2.0s	2 986×	3	valid
388.0ms	2 264×	1	exit
349.0ms	4 141×	0	exit
15.0ms	8×	4	exit
3.0ms	3×	4	valid
2.0ms	3×	2	exit
2.0ms	3×	3	exit

Precisions

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

ival-tan: 12.7s (16.6% of total)

ival-pow: 9.3s (12.2% of total)

ival-mult: 6.5s (8.5% of total)

adjust: 5.7s (7.4% of total)

const: 5.3s (6.9% of total)

ival-cos: 4.3s (5.7% of total)

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

ival-sub: 4.0s (5.2% of total)

ival-log: 3.5s (4.5% of total)

ival-add: 3.5s (4.5% of total)

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

ival-fabs: 2.2s (2.9% of total)

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

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

ival-<=: 1.9s (2.5% of total)

ival-log1p: 1.3s (1.7% of total)

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

ival-<: 910.0ms (1.2% of total)

ival-and: 573.0ms (0.7% of total)

ival-fmin: 488.0ms (0.6% of total)

ival-atan: 339.0ms (0.4% of total)

exact: 326.0ms (0.4% of total)

ival-cbrt: 318.0ms (0.4% of total)

ival->: 309.0ms (0.4% of total)

ival-neg: 250.0ms (0.3% of total)

ival-assert: 144.0ms (0.2% of total)

ival-true: 66.0ms (0.1% of total)

Bogosity

simplify1.1min (21.1%)

Memory

-61.1MiB live, 82 312.6MiB allocated

Algorithm

242×	egg-herbie

Rules

1 962 550×	`lower-fma.f32`
1 962 048×	`lower-fma.f64`
719 564×	`lower-*.f32`
718 638×	`lower-*.f64`
429 760×	`lower-+.f32`

Stop Event

318×	iter limit
160×	node limit
85×	saturated

Counts

23 112 → 22 693

rewrite37.8s (11.7%)

Memory

-27.4MiB live, 46 590.1MiB allocated

Algorithm

107×	batch-egg-rewrite

Rules

461 366×	`lower-fma.f32`
460 864×	`lower-fma.f64`
411 062×	`lower-*.f32`
410 148×	`lower-*.f64`
357 690×	`lower-/.f32`

Stop Event

222×	iter limit
105×	node limit
4×	saturated

Counts

1 402 → 71 621

soundness30.3s (9.3%)

Memory

283.4MiB live, 20 078.0MiB allocated

Rules

1 184 116×	`lower-fma.f32`
1 183 820×	`lower-fma.f64`
609 142×	`lower-*.f32`
608 586×	`lower-*.f64`
333 002×	`lower-/.f32`

Stop Event

216×	iter limit
138×	node limit
23×	fuel
5×	done
2×	saturated

Compiler

Compiled 10 100 to 5 265 computations (47.9% saved)

eval19.4s (6%)

Memory: 330.8MiB live, 25 156.2MiB allocated
Compiler: Compiled 3 063 976 to 254 115 computations (91.7% saved)

localize17.8s (5.5%)

Memory

203.5MiB live, 22 115.2MiB allocated

Samples

4.4s	4 122×	2	valid
3.7s	7 120×	1	valid
2.8s	13 818×	0	valid
1.2s	543×	3	valid
256.0ms	676×	1	exit
251.0ms	1 053×	0	invalid
60.0ms	12×	4	valid
23.0ms	12×	5	exit
9.0ms	36×	0	exit

Compiler

Compiled 17 505 to 2 725 computations (84.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0s

ival-mult: 1.9s (18.9% of total)

ival-add: 1.3s (13.5% of total)

adjust: 1.2s (12% of total)

ival-div: 993.0ms (10% of total)

ival-tan: 962.0ms (9.6% of total)

ival-cos: 950.0ms (9.5% of total)

const: 561.0ms (5.6% of total)

ival-pow: 440.0ms (4.4% of total)

ival-sin: 332.0ms (3.3% of total)

ival-sub: 289.0ms (2.9% of total)

ival-log: 288.0ms (2.9% of total)

ival-sqrt: 140.0ms (1.4% of total)

ival-exp: 132.0ms (1.3% of total)

ival-neg: 84.0ms (0.8% of total)

ival-log1p: 81.0ms (0.8% of total)

ival-pow2: 67.0ms (0.7% of total)

exact: 39.0ms (0.4% of total)

ival-atan2: 37.0ms (0.4% of total)

ival-cbrt: 36.0ms (0.4% of total)

ival-cosh: 29.0ms (0.3% of total)

ival-expm1: 25.0ms (0.3% of total)

ival-true: 23.0ms (0.2% of total)

ival-atan: 18.0ms (0.2% of total)

ival-assert: 11.0ms (0.1% of total)

ival-copysign: 5.0ms (0.1% of total)

ival-fabs: 1.0ms (0% of total)

prune16.7s (5.2%)

Memory: -217.2MiB live, 26 183.4MiB allocated
Counts: 109 361 → 2 164
Compiler: Compiled 80 092 to 38 751 computations (51.6% saved)

explain6.4s (2%)

Memory

-153.1MiB live, 7 816.4MiB allocated

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`#f`	cancellation	4198	35
`log.f64`	`#f`	sensitivity	768	0
`sqrt.f64`	`#f`	oflow-rescue	422	0
`/.f64`	`#f`	u/u	420	0
`+.f64`	`#f`	cancellation	314	0
`/.f64`	`#f`	u/n	120	0
`pow.f64`	`(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))`	sensitivity	74	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	25	0
↳	`(*.f64 b eps)`	underflow	152
↳	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`	underflow	146
↳	`(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`	underflow	152
↳	`(.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))`	underflow	236
↳	`(*.f64 a eps)`	underflow	146
`sqrt.f64`	`#f`	uflow-rescue	18	0
`-.f64`	`#f`	nan-rescue	12	0
`exp.f64`	`#f`	sensitivity	4	0
`/.f64`	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`	n/o	3	0
↳	`(*.f64 x x)`	overflow	69
`/.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	2	0
↳	`(exp.f64 (*.f64 #s(literal 2 binary64) x))`	overflow	2
↳	`(-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))`	overflow	2
↳	`(exp.f64 x)`	overflow	2
↳	`(-.f64 (exp.f64 x) #s(literal 1 binary64))`	overflow	2
`sin.f64`	`(sin.f64 (+.f64 x eps))`	sensitivity	2	0
`tan.f64`	`(tan.f64 (+.f64 x eps))`	sensitivity	2	0
`cos.f64`	`(cos.f64 (+.f64 x eps))`	sensitivity	2	0
`tan.f64`	`(tan.f64 (+.f64 x eps))`	cancellation	1	0
`sin.f64`	`(sin.f64 (+.f64 x eps))`	cancellation	1	0

Confusion

	Predicted +	Predicted -
+	5211	16
-	176	1765

Precision

0.9673287544087619

Recall

0.9969389707289076

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	5211	14	2
-	176	21	1744

Precision?

0.9636665437108078

Recall?

0.9996173713411135

Freqs

test

number	freq
0	1781
1	4584
2	660
3	88
4	55

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

1.6s	2 616×	2	valid
1.3s	5 810×	1	valid
555.0ms	5 738×	0	valid
75.0ms	172×	3	valid

Compiler

Compiled 2 522 to 980 computations (61.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.6s

ival-tan: 691.0ms (26.7% of total)

adjust: 240.0ms (9.3% of total)

ival-div: 236.0ms (9.1% of total)

ival-log: 226.0ms (8.7% of total)

ival-sub: 195.0ms (7.5% of total)

ival-cos: 177.0ms (6.8% of total)

ival-exp: 164.0ms (6.3% of total)

ival-sin: 144.0ms (5.6% of total)

ival-add: 118.0ms (4.6% of total)

ival-mult: 90.0ms (3.5% of total)

ival-pow: 85.0ms (3.3% of total)

ival-sqrt: 61.0ms (2.4% of total)

ival-log1p: 58.0ms (2.2% of total)

ival-atan: 23.0ms (0.9% of total)

ival-expm1: 23.0ms (0.9% of total)

ival-cbrt: 16.0ms (0.6% of total)

ival-neg: 14.0ms (0.5% of total)

ival-true: 12.0ms (0.5% of total)

exact: 8.0ms (0.3% of total)

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

preprocess5.5s (1.7%)

Memory

130.9MiB live, 6 395.0MiB 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 10 450 to 3 688 computations (64.7% saved)

regimes4.6s (1.4%)

Memory

-132.7MiB live, 6 483.7MiB allocated

Counts

4 907 → 351

Calls

43 calls:

1.1s	x
362.0ms	(/.f64 #s(literal 1 binary64) n)
332.0ms	eps
228.0ms	a
180.0ms	(exp.f64 (*.f64 a x))

Compiler

Compiled 3 101 to 2 067 computations (33.3% saved)

series2.8s (0.8%)

Memory

-228.6MiB live, 3 665.1MiB allocated

Counts

1 402 → 23 112

Calls

4554 calls:

Time	Variable		Point	Expression
77.0ms	x	@	0	(- (cbrt (+ x 1)) (* (pow x 2/9) (pow x 1/9)))
77.0ms	x	@	inf	(* x 1/45)
53.0ms	N	@	0	(log N)
47.0ms	n	@	0	(/ (- (log (+ 1 x)) (log x)) n)
42.0ms	x	@	0	(/ n (log (/ (+ x 1) x)))

analyze2.1s (0.7%)

Memory

47.0MiB live, 2 010.4MiB 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)

bsearch993.0ms (0.3%)

Memory

73.4MiB live, 1 445.9MiB allocated

Algorithm

72×	binary-search
56×	left-value

Stop Event

70×	narrow-enough
2×	predicate-same

Samples

283.0ms	3 573×	0	valid
152.0ms	397×	2	valid
145.0ms	508×	1	valid
59.0ms	773×	0	invalid
13.0ms	63×	0	exit
1.0ms	2×	3	valid

Compiler

Compiled 14 253 to 10 317 computations (27.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 489.0ms

ival-pow: 157.0ms (32.1% of total)

ival-mult: 84.0ms (17.2% of total)

ival-sub: 57.0ms (11.6% of total)

ival-div: 54.0ms (11% of total)

adjust: 33.0ms (6.7% of total)

ival-sqrt: 28.0ms (5.7% of total)

ival-neg: 21.0ms (4.3% of total)

ival-add: 20.0ms (4.1% of total)

ival-cos: 13.0ms (2.7% of total)

ival-sin: 7.0ms (1.4% of total)

ival-expm1: 5.0ms (1% of total)

ival-true: 4.0ms (0.8% of total)

ival-exp: 3.0ms (0.6% of total)

ival-assert: 2.0ms (0.4% of total)

exact: 2.0ms (0.4% of total)

end0.0ms (0%)

Memory: 0.7MiB live, 0.7MiB allocated

sample1.9min (34.4%)

simplify1.1min (21.1%)

rewrite37.8s (11.7%)

soundness30.3s (9.3%)

eval19.4s (6%)

localize17.8s (5.5%)

prune16.7s (5.2%)

explain6.4s (2%)

preprocess5.5s (1.7%)

regimes4.6s (1.4%)

series2.8s (0.8%)

analyze2.1s (0.7%)

bsearch993.0ms (0.3%)

end0.0ms (0%)

Profiling