Metrics for Toniolo and Linder, Equation (7)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze245.0ms (10.6%)

Memory

6.1MiB live, 93.7MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
0%	0%	99.9%	0.1%	0%	0%	0%	7
0%	0%	74.9%	0.1%	0%	25%	0%	8
4.2%	3.1%	71.8%	0.1%	0%	25%	0%	9
6.3%	4.7%	70.2%	0.1%	0%	25%	0%	10
11.3%	7%	55.4%	0.1%	0%	37.4%	0%	11
16.9%	10.5%	51.9%	0.1%	0%	37.4%	0%	12

Compiler

Compiled 29 to 20 computations (31% saved)

sample66.0ms (2.8%)

Memory

0.2MiB live, 23.3MiB allocated

Samples

17.0ms	86×	1	valid
16.0ms	170×	0	valid
9.0ms	48×	1	invalid
7.0ms	76×	0	invalid
1.0ms	4×	2	invalid
1.0ms	4×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-mult: 12.0ms (30.7% of total)

adjust: 7.0ms (17.9% of total)

ival-div: 5.0ms (12.8% of total)

ival-sqrt: 5.0ms (12.8% of total)

ival-sub: 4.0ms (10.2% of total)

ival-add: 4.0ms (10.2% of total)

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

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

exact: 0.0ms (0% of total)

Bogosity

explain1.7s (74.7%)

Memory

8.4MiB live, 1 344.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
103	0	-	103	(3.942586903663827e+26 -2.4285048096377807e+184 5.563328157777649e-239)	`(sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l)))`
88	4	(-2.888643720208668e+270 -1.1478295982055052e-130 -5.534275459542337e-202)	38	(3.942586903663827e+26 -2.4285048096377807e+184 5.563328157777649e-239)	`(-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l))`
0	0	-	0	-	`(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))`
0	0	-	0	-	`(.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t))))`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`t`
0	0	-	0	-	`(.f64 #s(literal 2 binary64) (.f64 t t))`
0	0	-	0	-	`(*.f64 (sqrt.f64 #s(literal 2 binary64)) t)`
0	0	-	0	-	`(+.f64 x #s(literal 1 binary64))`
0	0	-	0	-	`(*.f64 l l)`
0	0	-	0	-	`(sqrt.f64 #s(literal 2 binary64))`
0	0	-	0	-	`(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))`
0	0	-	0	-	`(*.f64 t t)`
0	0	-	0	-	`#s(literal 2 binary64)`
0	0	-	0	-	`(-.f64 x #s(literal 1 binary64))`
0	0	-	0	-	`l`
0	0	-	0	-	`(+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (*.f64 t t)))`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (*.f64 l l))`	cancellation	54	1

Confusion

	Predicted +	Predicted -
+	54	109
-	0	93

Precision

1.0

Recall

0.3312883435582822

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	54	0	109
-	0	1	92

Precision?

0.9818181818181818

Recall?

0.3312883435582822

Freqs

test

number	freq
0	202
1	54

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Total Time

10.974365234375

Average Time

0.042868614196777344

Samples

224.0ms	1 020×	1	valid
209.0ms	2 004×	0	valid
16.0ms	48×	2	valid

Compiler

Compiled 5 064 to 888 computations (82.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 313.0ms

ival-mult: 100.0ms (32% of total)

adjust: 50.0ms (16% of total)

ival-sqrt: 45.0ms (14.4% of total)

ival-div: 43.0ms (13.8% of total)

ival-add: 36.0ms (11.5% of total)

ival-sub: 33.0ms (10.6% of total)

exact: 3.0ms (1% of total)

ival-true: 2.0ms (0.6% of total)

ival-assert: 1.0ms (0.3% of total)

preprocess240.0ms (10.4%)

Memory

-0.9MiB live, 55.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	250
1	221	248
2	650	246
3	2219	246
4	7024	246
0	18	27
0	31	27
1	58	27
2	113	27
3	212	27
4	437	27
5	990	27
6	2266	27
7	5077	27
0	8183	26

Stop Event

1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))

Inputs

(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l))))

Outputs
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))
(/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (neg.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 (fma.f64 (.f64 t t) #s(literal 2 binary64) (.f64 l l)) (-.f64 x #s(literal 1 binary64))) (.f64 l l)))))

Outputs

(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l))))

(/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (neg.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 (fma.f64 (*.f64 t t) #s(literal 2 binary64) (*.f64 l l)) (-.f64 x #s(literal 1 binary64))) (*.f64 l l)))))

Symmetry

(abs l)

(negabs t)

Compiler

Compiled 27 to 18 computations (33.3% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
	39.1%	(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))

Status

Accuracy

Program

39.1%

(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l))))

Compiler

Compiled 54 to 36 computations (33.3% saved)

simplify20.0ms (0.9%)

Memory

2.5MiB live, 18.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	27
1	33	27
2	43	27
3	52	27
4	65	27
5	82	27

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))

Inputs

(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l))))

Outputs
(/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (.f64 t t)))) (.f64 l l))))
(/.f64 (.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 (.f64 (+.f64 (.f64 (.f64 t t) #s(literal 2 binary64)) (.f64 l l)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))) (.f64 l l))))

Outputs

(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) (sqrt.f64 (-.f64 (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (+.f64 (*.f64 l l) (*.f64 #s(literal 2 binary64) (*.f64 t t)))) (*.f64 l l))))

(/.f64 (*.f64 t (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 (*.f64 (+.f64 (*.f64 (*.f64 t t) #s(literal 2 binary64)) (*.f64 l l)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))) (*.f64 l l))))

soundness0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Stop Event

1×

fuel

Compiler

Compiled 27 to 18 computations (33.3% saved)

preprocess13.0ms (0.6%)

Memory

-8.9MiB live, 5.9MiB allocated

Remove

(negabs t)

(abs l)

Compiler

Compiled 324 to 216 computations (33.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze245.0ms (10.6%)

sample66.0ms (2.8%)

explain1.7s (74.7%)

preprocess240.0ms (10.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify20.0ms (0.9%)

soundness0.0ms (0%)

preprocess13.0ms (0.6%)

end0.0ms (0%)

Profiling