Metrics for Herbie run

Date:	Thursday, August 22nd, 2024
Commit:	0a751149 on faster-egg
Hostname:	nightly with Racket 8.11.1
Seed:	2024235
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 (37.5%)

Memory

183.3MiB live, 118 670.0MiB allocated

Samples

28.2s	41 375×	2	valid
24.8s	146 941×	0	invalid
18.5s	92 132×	1	valid
10.1s	4 964×	5	exit
8.4s	94 617×	0	valid
2.1s	3 041×	3	valid
538.0ms	2 274×	1	exit
364.0ms	4 243×	0	exit
329.0ms	4×	3	exit
17.0ms	9×	4	exit
5.0ms	4×	2	exit
3.0ms	3×	4	valid

Precisions

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

ival-tan: 13.5s (17.3% of total)

ival-pow: 9.9s (12.7% of total)

adjust: 5.7s (7.3% of total)

ival-mult: 5.5s (7% of total)

const: 5.2s (6.6% of total)

ival-sub: 4.5s (5.8% of total)

ival-cos: 4.4s (5.6% of total)

ival-div: 4.3s (5.5% of total)

ival-sin: 3.7s (4.7% of total)

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

ival-log: 3.0s (3.8% of total)

ival-<=: 2.7s (3.5% of total)

ival-fabs: 2.4s (3.1% of total)

ival-expm1: 2.1s (2.7% of total)

ival-exp: 2.0s (2.5% of total)

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

ival-log1p: 1.1s (1.3% of total)

ival-<: 896.0ms (1.1% of total)

ival-and: 624.0ms (0.8% of total)

ival-fmin: 446.0ms (0.6% of total)

ival-atan: 353.0ms (0.5% of total)

ival-neg: 347.0ms (0.4% of total)

exact: 341.0ms (0.4% of total)

ival->: 269.0ms (0.3% of total)

ival-cbrt: 242.0ms (0.3% of total)

ival-assert: 162.0ms (0.2% of total)

ival-true: 73.0ms (0.1% of total)

Bogosity

simplify38.7s (12.7%)

Memory

141.6MiB live, 33 943.4MiB allocated

Algorithm

248×	egg-herbie

Rules

2 205 914×	`lower-fma.f32`
2 205 226×	`lower-fma.f64`
796 202×	`lower-*.f32`
795 172×	`lower-*.f64`
493 728×	`lower-+.f32`

Stop Event

330×	iter limit
176×	node limit
72×	saturated

Counts

30 288 → 29 804

soundness30.5s (10%)

Memory

133.0MiB live, 19 803.5MiB allocated

Rules

1 248 554×	`lower-fma.f32`
1 248 218×	`lower-fma.f64`
611 262×	`lower-*.f32`
610 756×	`lower-*.f64`
327 772×	`lower-+.f32`

Stop Event

200×	iter limit
134×	node limit
25×	fuel
3×	done
2×	saturated

Compiler

Compiled 11 611 to 5 553 computations (52.2% saved)

rewrite26.9s (8.8%)

Memory

-77.9MiB live, 26 499.5MiB allocated

Rules

500 736×	`lower-fma.f32`
500 048×	`lower-fma.f64`
456 010×	`lower-*.f32`
454 984×	`lower-*.f64`
411 722×	`lower-/.f32`

Stop Event

223×	iter limit
110×	node limit

Counts

1 759 → 68 032

localize26.5s (8.7%)

Memory

-353.8MiB live, 27 466.9MiB allocated

Samples

8.5s	5 814×	2	valid
6.6s	9 664×	1	valid
3.7s	11 626×	0	valid
774.0ms	375×	3	valid
167.0ms	600×	0	invalid
37.0ms	78×	0	exit
11.0ms	3×	5	exit

Compiler

Compiled 25 974 to 3 505 computations (86.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.9s

ival-mult: 2.7s (17.2% of total)

ival-div: 2.1s (13.5% of total)

ival-tan: 1.8s (11.5% of total)

adjust: 1.7s (10.7% of total)

ival-add: 1.5s (9.5% of total)

const: 1.2s (7.2% of total)

ival-sub: 795.0ms (5% of total)

ival-pow: 645.0ms (4% of total)

ival-log: 625.0ms (3.9% of total)

ival-cos: 613.0ms (3.8% of total)

ival-sqrt: 559.0ms (3.5% of total)

ival-sin: 516.0ms (3.2% of total)

ival-exp: 411.0ms (2.6% of total)

ival-log1p: 174.0ms (1.1% of total)

ival-neg: 105.0ms (0.7% of total)

ival-pow2: 77.0ms (0.5% of total)

ival-expm1: 65.0ms (0.4% of total)

ival-cosh: 58.0ms (0.4% of total)

ival-cbrt: 49.0ms (0.3% of total)

ival-atan2: 44.0ms (0.3% of total)

exact: 42.0ms (0.3% of total)

ival-true: 26.0ms (0.2% of total)

ival-atan: 13.0ms (0.1% of total)

ival-assert: 13.0ms (0.1% of total)

ival-fabs: 9.0ms (0.1% of total)

ival-copysign: 5.0ms (0% of total)

prune22.6s (7.4%)

Memory: -507.5MiB live, 30 664.2MiB allocated
Counts: 115 179 → 2 258
Compiler: Compiled 89 189 to 41 138 computations (53.9% saved)

eval21.9s (7.2%)

Memory: 561.7MiB live, 26 852.3MiB allocated
Compiler: Compiled 3 358 164 to 257 565 computations (92.3% saved)

explain6.1s (2%)

Memory

86.8MiB live, 7 483.1MiB allocated

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`#f`	cancellation	4161	28
`log.f64`	`#f`	sensitivity	760	4
`/.f64`	`#f`	u/u	439	0
`sqrt.f64`	`#f`	oflow-rescue	416	0
`+.f64`	`#f`	cancellation	324	3
`/.f64`	`#f`	u/n	115	0
`pow.f64`	`(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))`	sensitivity	70	1
`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	23	0
↳	`(*.f64 b eps)`	underflow	141
↳	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`	underflow	143
↳	`(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`	underflow	141
↳	`(.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))`	underflow	230
↳	`(*.f64 a eps)`	underflow	143
`-.f64`	`#f`	nan-rescue	13	0
`/.f64`	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`	n/o	3	0
↳	`(*.f64 x x)`	overflow	58
`exp.f64`	`#f`	sensitivity	2	0
`cos.f64`	`(cos.f64 (+.f64 x eps))`	sensitivity	1	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	1	0
↳	`(exp.f64 (*.f64 #s(literal 2 binary64) x))`	overflow	1
↳	`(-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64))`	overflow	1
↳	`(exp.f64 x)`	overflow	1
↳	`(-.f64 (exp.f64 x) #s(literal 1 binary64))`	overflow	1
`tan.f64`	`(tan.f64 (+.f64 x eps))`	sensitivity	1	1

Confusion

	Predicted +	Predicted -
+	5208	22
-	145	1793

Precision

0.9729123855781805

Recall

0.9957934990439771

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	5208	13	9
-	145	20	1773

Precision?

0.9693650204233197

Recall?

0.9982791586998088

Freqs

test

number	freq
0	1815
1	4556
2	641
3	105
4	51

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

1.7s	2 640×	2	valid
1.2s	5 674×	1	valid
500.0ms	5 850×	0	valid
162.0ms	172×	3	valid

Compiler

Compiled 2 197 to 763 computations (65.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.8s

ival-tan: 705.0ms (24.9% of total)

adjust: 335.0ms (11.8% of total)

ival-log: 294.0ms (10.4% of total)

ival-cos: 255.0ms (9% of total)

ival-sub: 218.0ms (7.7% of total)

ival-sin: 189.0ms (6.7% of total)

ival-div: 152.0ms (5.4% of total)

ival-exp: 130.0ms (4.6% of total)

ival-add: 107.0ms (3.8% of total)

ival-pow: 105.0ms (3.7% of total)

ival-mult: 91.0ms (3.2% of total)

ival-sqrt: 61.0ms (2.2% of total)

ival-log1p: 60.0ms (2.1% of total)

ival-atan: 48.0ms (1.7% of total)

ival-expm1: 26.0ms (0.9% of total)

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

ival-true: 13.0ms (0.5% of total)

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

exact: 8.0ms (0.3% of total)

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

regimes5.6s (1.8%)

Memory

197.3MiB live, 7 111.8MiB allocated

Counts

4 885 → 359

Calls

43 calls:

1.2s	x
586.0ms	eps
338.0ms	(/.f64 #s(literal 1 binary64) n)
251.0ms	n
221.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Compiler

Compiled 3 398 to 2 261 computations (33.5% saved)

preprocess4.4s (1.5%)

Memory

36.1MiB live, 5 387.7MiB 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 12 119 to 4 023 computations (66.8% saved)

series4.1s (1.4%)

Memory

279.4MiB live, 4 932.7MiB allocated

Counts

1 759 → 30 288

Calls

3936 calls:

Time	Variable		Point	Expression
244.0ms	x	@	inf	(/ (* (sin x) (tan (/ x 2))) (* x x))
126.0ms	N	@	-inf	(log N)
61.0ms	x	@	0	(- (cbrt (+ x 1)) (* (pow x 2/9) (pow x 1/9)))
55.0ms	n	@	0	(* n (log n))
52.0ms	x	@	0	(/ (* (/ (- 1 x) (sqrt x)) -1/2) x)

analyze1.8s (0.6%)

Memory

-45.7MiB live, 2 124.0MiB 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

-0.5MiB live, 1 203.9MiB allocated

Algorithm

67×	binary-search
55×	left-value

Stop Event

64×	narrow-enough
3×	predicate-same

Samples

304.0ms	3 304×	0	valid
139.0ms	661×	1	valid
120.0ms	316×	2	valid
47.0ms	624×	0	invalid
17.0ms	131×	0	exit
2.0ms	7×	3	valid

Compiler

Compiled 15 537 to 10 435 computations (32.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 488.0ms

ival-pow: 97.0ms (19.9% of total)

ival-mult: 71.0ms (14.5% of total)

ival-add: 64.0ms (13.1% of total)

ival-sqrt: 61.0ms (12.5% of total)

ival-div: 58.0ms (11.9% of total)

ival-sub: 46.0ms (9.4% of total)

ival-neg: 27.0ms (5.5% of total)

adjust: 26.0ms (5.3% of total)

ival-cos: 14.0ms (2.9% of total)

ival-expm1: 6.0ms (1.2% of total)

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

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

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

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

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

exact: 2.0ms (0.4% of total)

start0.0ms (0%)

Memory: 1.1MiB live, 1.1MiB allocated

end0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated

sample1.9min (37.5%)

simplify38.7s (12.7%)

soundness30.5s (10%)

rewrite26.9s (8.8%)

localize26.5s (8.7%)

prune22.6s (7.4%)

eval21.9s (7.2%)

explain6.1s (2%)

regimes5.6s (1.8%)

preprocess4.4s (1.5%)

series4.1s (1.4%)

analyze1.8s (0.6%)

bsearch1.1s (0.4%)

start0.0ms (0%)

end0.0ms (0%)

Profiling