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

sample3.4min (25.3%)

Memory

852.9MiB live, 246 154.1MiB allocated

Samples

1.0min	121 391×	1	valid
36.5s	280 563×	0	valid
32.4s	14 248×	5	exit
17.3s	24 123×	2	valid
8.1s	3 218×	3	valid
6.2s	35 075×	0	exit
3.8s	10 785×	1	exit
3.1s	11 116×	1	invalid
2.9s	20 651×	0	invalid
514.0ms	33×	4	exit
282.0ms	738×	2	invalid
208.0ms	20×	3	exit
78.0ms	17×	4	valid
67.0ms	11×	2	exit

Precisions

Click to see histograms. Total time spent on operations: 2.5min

ival-pow: 27.2s (18.3% of total)

ival-mult: 18.1s (12.2% of total)

ival-cos: 17.4s (11.7% of total)

ival-sin: 16.3s (11% of total)

ival-div: 11.9s (8% of total)

adjust: 11.5s (7.7% of total)

ival-pow2: 8.4s (5.7% of total)

ival-sub: 7.4s (5% of total)

ival-add: 6.1s (4.1% of total)

ival-exp: 5.4s (3.6% of total)

ival-log: 4.3s (2.9% of total)

ival-sqrt: 3.8s (2.5% of total)

ival-neg: 2.0s (1.3% of total)

const: 1.8s (1.2% of total)

ival-<: 1.5s (1% of total)

ival-pi: 792.0ms (0.5% of total)

ival-atan2: 767.0ms (0.5% of total)

ival-hypot: 708.0ms (0.5% of total)

ival-tan: 680.0ms (0.5% of total)

ival-acos: 441.0ms (0.3% of total)

exact: 401.0ms (0.3% of total)

ival-cbrt: 359.0ms (0.2% of total)

ival-atan: 329.0ms (0.2% of total)

ival-and: 312.0ms (0.2% of total)

ival-true: 307.0ms (0.2% of total)

ival-log1p: 205.0ms (0.1% of total)

ival-assert: 198.0ms (0.1% of total)

ival-fabs: 156.0ms (0.1% of total)

ival-asin: 150.0ms (0.1% of total)

ival-<=: 150.0ms (0.1% of total)

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

ival-or: 0.0ms (0% of total)

Bogosity

simplify2.6min (18.9%)

Memory

-550.6MiB live, 193 867.9MiB allocated

Algorithm

458×	egg-herbie

Rules

3 564 130×	`lower-fma.f32`
3 563 110×	`lower-fma.f64`
1 753 866×	`lower-*.f32`
1 749 594×	`lower-*.f64`
942 940×	`lower-+.f32`

Stop Event

610×	iter limit
317×	node limit
141×	saturated

Counts

83 748 → 83 070

rewrite1.3min (9.5%)

Memory

515.1MiB live, 105 155.7MiB allocated

Algorithm

203×	batch-egg-rewrite

Rules

903 662×	`lower-fma.f32`
902 670×	`lower-fma.f64`
874 932×	`lower-*.f32`
870 806×	`lower-*.f64`
689 758×	`lower-/.f32`

Stop Event

416×	iter limit
200×	node limit
2×	unsound
1×	saturated

Counts

3 401 → 156 326

soundness1.2min (8.7%)

Memory

105.0MiB live, 53 748.9MiB allocated

Rules

2 302 080×	`lower-fma.f32`
2 301 406×	`lower-fma.f64`
1 531 192×	`lower-*.f32`
1 528 358×	`lower-*.f64`
769 690×	`lower-+.f32`

Stop Event

435×	iter limit
291×	node limit
45×	fuel
7×	done
2×	saturated

Compiler

Compiled 58 782 to 27 570 computations (53.1% saved)

localize58.9s (7.2%)

Memory

312.7MiB live, 77 767.8MiB allocated

Samples

18.0s	14 498×	1	valid
7.6s	28 426×	0	valid
7.2s	3 914×	2	valid
4.1s	664×	5	exit
1.5s	3 090×	0	invalid
736.0ms	418×	3	valid
583.0ms	117×	4	exit
317.0ms	561×	1	exit
250.0ms	181×	1	invalid
47.0ms	3×	3	exit
31.0ms	3×	2	exit
16.0ms	73×	0	exit
15.0ms	14×	2	invalid
7.0ms	6×	3	invalid

Compiler

Compiled 91 548 to 7 937 computations (91.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.1s

ival-mult: 7.3s (22.9% of total)

ival-cos: 4.9s (15.3% of total)

ival-sin: 4.3s (13.5% of total)

ival-div: 3.1s (9.5% of total)

adjust: 2.7s (8.3% of total)

ival-add: 2.2s (6.8% of total)

const: 1.2s (3.8% of total)

ival-sqrt: 948.0ms (3% of total)

ival-pow2: 877.0ms (2.7% of total)

ival-sub: 860.0ms (2.7% of total)

ival-cbrt: 753.0ms (2.3% of total)

ival-atan2: 658.0ms (2% of total)

ival-log: 345.0ms (1.1% of total)

ival-exp: 332.0ms (1% of total)

ival-pow: 287.0ms (0.9% of total)

ival-neg: 269.0ms (0.8% of total)

ival-acos: 145.0ms (0.5% of total)

ival-tan: 135.0ms (0.4% of total)

ival-atan: 125.0ms (0.4% of total)

ival-fabs: 111.0ms (0.3% of total)

ival-pi: 103.0ms (0.3% of total)

ival-hypot: 99.0ms (0.3% of total)

ival-log1p: 97.0ms (0.3% of total)

ival-asin: 97.0ms (0.3% of total)

exact: 84.0ms (0.3% of total)

ival-true: 46.0ms (0.1% of total)

ival-assert: 22.0ms (0.1% of total)

ival-expm1: 4.0ms (0% of total)

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

ival-tanh: 2.0ms (0% of total)

ival-sinh: 2.0ms (0% of total)

eval56.3s (6.9%)

Memory: 1 315.0MiB live, 83 139.0MiB allocated
Compiler: Compiled 12 910 116 to 795 223 computations (93.8% saved)

prune55.2s (6.8%)

Memory: -1 990.7MiB live, 89 002.5MiB allocated
Counts: 302 246 → 8 231
Compiler: Compiled 630 708 to 283 480 computations (55.1% saved)

regimes49.4s (6.1%)

Memory

-7.6MiB live, 69 662.0MiB allocated

Counts

26 842 → 1 117

Calls

155 calls:

3.5s	phi1
3.2s	phi2
2.9s	lambda1
2.9s	b
2.8s	lambda2

Compiler

Compiled 31 624 to 17 499 computations (44.7% saved)

explain21.3s (2.6%)

Memory

-128.4MiB live, 30 185.4MiB allocated

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`cos.f64`	`#f`	sensitivity	1807	6
`+.f64`	`#f`	cancellation	1717	35
`sin.f64`	`#f`	sensitivity	1552	2
`sqrt.f64`	`#f`	oflow-rescue	1403	0
`-.f64`	`#f`	cancellation	952	8
`log.f64`	`#f`	sensitivity	601	1
`-.f64`	`#f`	nan-rescue	493	0
`/.f64`	`#f`	o/n	457	0
`/.f64`	`#f`	u/u	344	0
`/.f64`	`#f`	o/o	268	0
`*.f64`	`#f`	*no**	263	0
`/.f64`	`#f`	u/n	180	0
`exp.f64`	`#f`	sensitivity	167	26
`sqrt.f64`	`#f`	uflow-rescue	159	0
`/.f64`	`#f`	n/o	121	0
`*.f64`	`#f`	*nu**	111	0
`cbrt.f64`	`#f`	oflow-rescue	93	0
`/.f64`	`#f`	n/u	40	0
`*.f64`	`#f`	*uo**	35	0
`cbrt.f64`	`#f`	uflow-rescue	34	0
`*.f64`	`#f`	*ou**	34	0
`acos.f64`	`(acos.f64 (+.f64 (.f64 (sin.f64 phi1) (sin.f64 phi2)) (.f64 (*.f64 (cos.f64 phi1) (cos.f64 phi2)) (cos.f64 (-.f64 lambda1 lambda2)))))`	sensitivity	22	6
`pow.f64`	`#f`	sensitivity	8	0
`pow.f64`	`(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p)`	uflow-rescue	6	0
↳	`(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t)))) c_p)`	underflow	9
↳	`(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 t))))`	underflow	6
`log.f64`	`#f`	oflow-rescue	4	0
`log.f64`	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`	uflow-rescue	2	0
↳	`(+.f64 (exp.f64 a) (exp.f64 b))`	underflow	2
↳	`(exp.f64 a)`	underflow	128
↳	`(exp.f64 b)`	underflow	2

Confusion

	Predicted +	Predicted -
+	5717	78
-	1406	6111

Precision

0.8026112593008564

Recall

0.9865401207937877

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	5717	46	32
-	1406	27	6084

Precision?

0.8008615897720957

Recall?

0.9944779982743744

Freqs

test

number	freq
0	6189
1	4746
2	1648
3	354
4	224
5	84
6	35
7	17
8	11
9	4

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	42	1	0
-	2	0	7

Precision?

0.9555555555555556

Recall?

1.0

Samples

4.0s	7 888×	1	valid
2.3s	16 372×	0	valid
2.2s	2 038×	2	valid
559.0ms	326×	3	valid

Compiler

Compiled 21 748 to 3 336 computations (84.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.3s

ival-sin: 1.7s (22.9% of total)

ival-cos: 1.3s (17.5% of total)

ival-mult: 1.0s (14.2% of total)

ival-div: 556.0ms (7.6% of total)

adjust: 449.0ms (6.1% of total)

ival-pow2: 405.0ms (5.5% of total)

ival-add: 347.0ms (4.8% of total)

ival-sub: 314.0ms (4.3% of total)

ival-log: 278.0ms (3.8% of total)

ival-exp: 216.0ms (3% of total)

ival-sqrt: 183.0ms (2.5% of total)

ival-atan: 166.0ms (2.3% of total)

ival-neg: 64.0ms (0.9% of total)

ival-tan: 62.0ms (0.8% of total)

ival-pi: 52.0ms (0.7% of total)

ival-atan2: 42.0ms (0.6% of total)

ival-hypot: 41.0ms (0.6% of total)

ival-true: 31.0ms (0.4% of total)

ival-acos: 21.0ms (0.3% of total)

ival-pow: 21.0ms (0.3% of total)

exact: 18.0ms (0.2% of total)

ival-cbrt: 17.0ms (0.2% of total)

ival-assert: 11.0ms (0.2% of total)

ival-fabs: 11.0ms (0.2% of total)

ival-asin: 8.0ms (0.1% of total)

ival-log1p: 5.0ms (0.1% of total)

preprocess18.4s (2.2%)

Memory

124.2MiB live, 20 971.5MiB allocated

Algorithm

52×	egg-herbie

Rules

238 304×	`lower-fma.f64`
238 304×	`lower-fma.f32`
81 478×	`lower-*.f32`
81 146×	`lower-*.f64`
46 832×	`unsub-neg`

Stop Event

104×	iter limit
61×	saturated
43×	node limit

Compiler

Compiled 68 618 to 19 058 computations (72.2% saved)

series17.5s (2.1%)

Memory

-18.9MiB live, 22 045.0MiB allocated

Counts

3 401 → 83 748

Calls

16788 calls:

Time	Variable		Point	Expression
314.0ms	a	@	-inf	(/ a (* (- (sqrt (+ (* c (* a -3)) (* b b))) b) 1/3))
305.0ms	x	@	0	(log (* x 2))
260.0ms	t	@	inf	(/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))
181.0ms	b	@	0	(/ (/ (* -2 (+ (* a (/ (* a (* c c)) (* b b))) (* a c))) b) (* 2 a))
161.0ms	s	@	inf	(/ (* (pow (/ 1 (+ 1 (exp (neg s)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg s))))) c_n)) (* (pow (/ 1 (+ 1 (exp (neg t)))) c_p) (pow (- 1 (/ 1 (+ 1 (exp (neg t))))) c_n)))

analyze16.4s (2%)

Memory

379.6MiB live, 21 048.4MiB allocated

Algorithm

53×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	79.4%	20.6%	0%	0%	0%	0
17.2%	13.7%	65.7%	20.6%	0%	0%	0%	1
25%	19.6%	58.5%	20.6%	0%	1.3%	0%	2
35.2%	26.6%	48.9%	20.6%	0%	3.8%	0%	3
42.3%	31.7%	43.1%	20.6%	0%	4.5%	0%	4
47.9%	35.6%	38.7%	20.6%	0%	5.1%	0%	5
51%	37.6%	36.1%	20.6%	0%	5.7%	0%	6
54.4%	39.7%	33.2%	20.6%	0%	6.5%	0%	7
56.2%	40.7%	31.8%	20.6%	0%	6.8%	0%	8
59%	42.5%	29.5%	20.6%	0%	7.4%	0%	9
60.3%	43.2%	28.4%	20.6%	0%	7.7%	0%	10
62.1%	44.3%	27%	20.6%	0%	8.1%	0%	11
63.6%	45.1%	25.8%	20.6%	0%	8.5%	0%	12

Compiler

Compiled 1 826 to 990 computations (45.8% saved)

bsearch13.7s (1.7%)

Memory

121.4MiB live, 19 377.3MiB allocated

Algorithm

350×	binary-search
204×	left-value

Stop Event

336×	narrow-enough
14×	predicate-same

Samples

6.5s	8 461×	1	valid
2.6s	13 625×	0	valid
1.4s	1 410×	2	valid
431.0ms	120×	3	valid
58.0ms	131×	1	exit
41.0ms	451×	0	invalid
1.0ms	2×	5	exit
0.0ms	2×	0	exit

Compiler

Compiled 130 992 to 87 700 computations (33% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.9s

ival-sin: 2.5s (25.5% of total)

ival-cos: 2.3s (23.1% of total)

ival-mult: 1.4s (13.7% of total)

ival-div: 605.0ms (6.1% of total)

ival-pow2: 600.0ms (6.1% of total)

adjust: 596.0ms (6% of total)

ival-add: 510.0ms (5.2% of total)

ival-sub: 443.0ms (4.5% of total)

ival-pi: 247.0ms (2.5% of total)

ival-sqrt: 192.0ms (1.9% of total)

ival-atan2: 131.0ms (1.3% of total)

ival-acos: 101.0ms (1% of total)

ival-tan: 61.0ms (0.6% of total)

ival-atan: 58.0ms (0.6% of total)

ival-exp: 44.0ms (0.4% of total)

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

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

ival-true: 19.0ms (0.2% of total)

exact: 13.0ms (0.1% of total)

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

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

ival-assert: 10.0ms (0.1% of total)

ival-log: 7.0ms (0.1% of total)

ival-pow: 4.0ms (0% of total)

ival-log1p: 2.0ms (0% of total)

end0.0ms (0%)

Memory: 0.7MiB live, 0.7MiB allocated

sample3.4min (25.3%)

simplify2.6min (18.9%)

rewrite1.3min (9.5%)

soundness1.2min (8.7%)

localize58.9s (7.2%)

eval56.3s (6.9%)

prune55.2s (6.8%)

regimes49.4s (6.1%)

explain21.3s (2.6%)

preprocess18.4s (2.2%)

series17.5s (2.1%)

analyze16.4s (2%)

bsearch13.7s (1.7%)

end0.0ms (0%)

Profiling