Metrics for Herbie run

Date:	Tuesday, July 9th, 2024
Commit:	05213bce on main
Hostname:	nightly with Racket 8.11.1
Seed:	2024191
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

sample2.1min (39.8%)

Memory

431.5MiB live, 135 988.3MiB allocated

Samples

34.2s	43 478×	2	valid
27.3s	146 962×	0	invalid
20.2s	95 042×	1	valid
10.0s	6 145×	5	exit
8.9s	89 270×	0	valid
2.5s	3 375×	3	valid
379.0ms	4 273×	0	exit
136.0ms	1 057×	1	exit
60.0ms	73×	4	exit
4.0ms	5×	2	exit
4.0ms	1×	3	exit
3.0ms	3×	4	valid

Precisions

Click to see histograms. Total time spent on operations: 1.4min

ival-tan: 16.3s (18.7% of total)

ival-pow: 9.8s (11.3% of total)

ival-mult: 6.9s (7.9% of total)

const: 6.0s (6.9% of total)

ival-cos: 5.2s (6% of total)

ival-div: 5.0s (5.7% of total)

ival-add: 4.6s (5.3% of total)

ival-log: 4.2s (4.8% of total)

adjust: 4.1s (4.8% of total)

ival-sub: 4.1s (4.7% of total)

ival-sin: 3.6s (4.2% of total)

ival-exp: 2.8s (3.3% of total)

ival-fabs: 2.4s (2.8% of total)

ival-<=: 2.4s (2.7% of total)

ival-expm1: 2.1s (2.4% of total)

ival-sqrt: 1.3s (1.4% of total)

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

ival-log1p: 1.0s (1.2% of total)

ival-and: 805.0ms (0.9% of total)

ival-fmin: 690.0ms (0.8% of total)

ival->: 562.0ms (0.6% of total)

exact: 433.0ms (0.5% of total)

ival-atan: 426.0ms (0.5% of total)

ival-neg: 409.0ms (0.5% of total)

ival-cbrt: 365.0ms (0.4% of total)

ival-assert: 172.0ms (0.2% of total)

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

Bogosity

simplify49.6s (16%)

Memory

-11.0MiB live, 45 108.4MiB allocated

Algorithm

247×	egg-herbie

Rules

82 573×	`fma-define`
70 797×	`fmm-def`
49 790×	`distribute-lft-in`
47 602×	`times-frac`
44 261×	`distribute-rgt-in`

Stop Event

171×	node limit
75×	saturated
1×	unsound

Counts

58 897 → 60 236

soundness28.5s (9.2%)

Memory

29.7MiB live, 23 499.4MiB allocated

Rules

34 162×	`log1p-expm1-u`
30 161×	`fma-define`
28 273×	`expm1-log1p-u`
26 219×	`fmm-def`
18 278×	`times-frac`

Stop Event

107×	node limit
22×	fuel
9×	saturated
6×	done

Compiler

Compiled 21 320 to 6 232 computations (70.8% saved)

rewrite27.6s (8.9%)

Memory

-306.1MiB live, 22 047.7MiB allocated

Algorithm

109×	batch-egg-rewrite

Rules

66 870×	`log1p-expm1-u`
53 712×	`expm1-log1p-u`
22 498×	`pow1`
22 283×	`add-exp-log`
21 809×	`add-log-exp`

Stop Event

109×	node limit

Counts

1 250 → 40 427

localize20.4s (6.6%)

Memory

310.1MiB live, 22 926.8MiB allocated

Samples

5.4s	7 751×	1	valid
5.0s	4 416×	2	valid
2.9s	13 458×	0	valid
569.0ms	349×	3	valid
498.0ms	1 681×	0	invalid
89.0ms	446×	1	exit
44.0ms	41×	5	exit
5.0ms	6×	3	invalid
4.0ms	7×	2	invalid
2.0ms	5×	1	invalid

Compiler

Compiled 19 081 to 2 716 computations (85.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.1s

ival-mult: 1.8s (16.1% of total)

ival-div: 1.3s (11.9% of total)

ival-sub: 1.1s (9.6% of total)

ival-pow: 892.0ms (8% of total)

ival-add: 861.0ms (7.8% of total)

ival-tan: 649.0ms (5.8% of total)

ival-log: 629.0ms (5.7% of total)

adjust: 622.0ms (5.6% of total)

ival-sin: 542.0ms (4.9% of total)

const: 539.0ms (4.9% of total)

ival-cos: 366.0ms (3.3% of total)

ival-exp: 329.0ms (3% of total)

ival-pow2: 264.0ms (2.4% of total)

ival-hypot: 249.0ms (2.2% of total)

ival-sqrt: 214.0ms (1.9% of total)

ival-log1p: 198.0ms (1.8% of total)

ival-neg: 152.0ms (1.4% of total)

ival-cbrt: 101.0ms (0.9% of total)

ival-cosh: 96.0ms (0.9% of total)

exact: 62.0ms (0.6% of total)

ival-expm1: 52.0ms (0.5% of total)

ival-atan: 38.0ms (0.3% of total)

ival-true: 24.0ms (0.2% of total)

ival-atan2: 20.0ms (0.2% of total)

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

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

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

eval18.4s (5.9%)

Memory: 382.5MiB live, 21 255.3MiB allocated
Compiler: Compiled 2 267 821 to 318 289 computations (86% saved)

prune17.8s (5.7%)

Memory: -451.7MiB live, 26 621.8MiB allocated
Counts: 85 244 → 2 034
Compiler: Compiled 65 947 to 36 772 computations (44.2% saved)

explain6.4s (2.1%)

Memory

-79.0MiB live, 7 528.7MiB allocated

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`#f`	cancellation	4161	29
`log.f64`	`#f`	sensitivity	759	3
`/.f64`	`#f`	u/u	441	0
`sqrt.f64`	`#f`	oflow-rescue	430	0
`+.f64`	`#f`	cancellation	347	1
`/.f64`	`#f`	u/n	113	0
`pow.f64`	`(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))`	sensitivity	73	1
`sqrt.f64`	`#f`	uflow-rescue	40	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	146
↳	`(-.f64 (exp.f64 (*.f64 a eps)) #s(literal 1 binary64))`	underflow	140
↳	`(-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64))`	underflow	146
↳	`(.f64 (-.f64 (exp.f64 (.f64 a eps)) #s(literal 1 binary64)) (-.f64 (exp.f64 (*.f64 b eps)) #s(literal 1 binary64)))`	underflow	239
↳	`(*.f64 a eps)`	underflow	140
`-.f64`	`#f`	nan-rescue	19	0
`/.f64`	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 x x))`	n/o	4	0
↳	`(*.f64 x x)`	overflow	71
`cos.f64`	`(cos.f64 (+.f64 x eps))`	sensitivity	1	0
`exp.f64`	`(exp.f64 (neg.f64 x))`	sensitivity	1	0
`/.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

Confusion

	Predicted +	Predicted -
+	5221	12
-	156	1779

Precision

0.9709875395201786

Recall

0.9977068603095739

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	5221	11	1
-	156	24	1755

Precision?

0.9667405764966741

Recall?

0.9998089050257978

Freqs

test

number	freq
0	1791
1	4554
2	669
3	91
4	63

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

1.8s	2 652×	2	valid
1.5s	5 982×	1	valid
434.0ms	5 488×	0	valid
175.0ms	214×	3	valid

Compiler

Compiled 2 522 to 980 computations (61.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.1s

ival-tan: 736.0ms (23.7% of total)

ival-log: 366.0ms (11.8% of total)

ival-pow: 344.0ms (11.1% of total)

ival-cos: 299.0ms (9.6% of total)

ival-sub: 262.0ms (8.4% of total)

adjust: 215.0ms (6.9% of total)

ival-div: 153.0ms (4.9% of total)

ival-exp: 132.0ms (4.2% of total)

ival-mult: 124.0ms (4% of total)

ival-sin: 124.0ms (4% of total)

ival-add: 114.0ms (3.7% of total)

ival-sqrt: 63.0ms (2% of total)

ival-log1p: 56.0ms (1.8% of total)

ival-atan: 25.0ms (0.8% of total)

ival-neg: 23.0ms (0.7% of total)

ival-expm1: 23.0ms (0.7% of total)

ival-cbrt: 17.0ms (0.5% of total)

exact: 13.0ms (0.4% of total)

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

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

preprocess5.6s (1.8%)

Memory

-141.6MiB live, 6 275.9MiB allocated

Algorithm

28×	egg-herbie

Rules

8 308×	`fmm-def`
6 663×	`fma-define`
4 254×	`div-sub`
2 652×	`sub-neg`
2 620×	`times-frac`

Stop Event

23×	saturated
5×	node limit

Compiler

Compiled 9 936 to 3 882 computations (60.9% saved)

series5.2s (1.7%)

Memory

244.5MiB live, 6 430.2MiB allocated

Counts

1 250 → 18 470

Calls

5055 calls:

Time	Variable		Point	Expression
114.0ms	eps	@	0	(sin (* 1/2 (+ (* 2 x) eps)))
99.0ms	c	@	0	(pow (+ (* (* a c) -4) (pow b 2)) 1/4)
95.0ms	eps	@	-inf	(- (exp (* eps (+ a b))) 1)
82.0ms	b_2	@	inf	(sqrt (/ (- b_2 (sqrt (+ (* b_2 b_2) (* (sqrt (* c (neg a))) (sqrt (* c (neg a))))))) a))
73.0ms	n	@	0	(* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))

regimes3.2s (1%)

Memory

99.9MiB live, 5 562.8MiB allocated

Counts

3 825 → 312

Calls

43 calls:

789.0ms	x
318.0ms	(/.f64 #s(literal 1 binary64) n)
221.0ms	a
215.0ms	n
173.0ms	N

Compiler

Compiled 1 456 to 979 computations (32.8% saved)

bsearch2.6s (0.8%)

Memory

111.0MiB live, 2 750.2MiB allocated

Algorithm

72×	binary-search
46×	left-value

Stop Event

69×	narrow-enough
3×	predicate-same

Samples

1.1s	6 125×	0	valid
368.0ms	3 073×	1	valid
267.0ms	1 857×	0	invalid
195.0ms	482×	2	valid
3.0ms	30×	0	exit
0.0ms	1×	1	exit

Compiler

Compiled 14 765 to 10 940 computations (25.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.4s

ival-neg: 287.0ms (20.3% of total)

ival-add: 257.0ms (18.2% of total)

ival-mult: 215.0ms (15.2% of total)

ival-sub: 198.0ms (14% of total)

ival-pow: 116.0ms (8.2% of total)

ival-cbrt: 97.0ms (6.9% of total)

ival-div: 93.0ms (6.6% of total)

ival-sqrt: 64.0ms (4.5% of total)

adjust: 45.0ms (3.2% of total)

ival-cos: 16.0ms (1.1% of total)

exact: 8.0ms (0.6% of total)

ival-true: 8.0ms (0.6% of total)

ival-sin: 5.0ms (0.4% of total)

ival-assert: 4.0ms (0.3% of total)

ival-expm1: 1.0ms (0.1% of total)

ival-log1p: 0.0ms (0% of total)

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

analyze1.7s (0.6%)

Memory

41.2MiB live, 2 106.3MiB 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)

end0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated

sample2.1min (39.8%)

simplify49.6s (16%)

soundness28.5s (9.2%)

rewrite27.6s (8.9%)

localize20.4s (6.6%)

eval18.4s (5.9%)

prune17.8s (5.7%)

explain6.4s (2.1%)

preprocess5.6s (1.8%)

series5.2s (1.7%)

regimes3.2s (1%)

bsearch2.6s (0.8%)

analyze1.7s (0.6%)

end0.0ms (0%)

Profiling