Metrics for Codec.Picture.Jpg.FastDct:referenceDct from JuicyPixels-3.2.6.1

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze1.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.7%	0.3%	0%	0%	0%	0
100%	99.7%	0%	0.3%	0%	0%	0%	1

Compiler

Compiled 29 to 25 computations (13.8% saved)

sample71.0ms (2.7%)

Memory

6.3MiB live, 22.7MiB allocated

Samples

50.0ms	199×	1	valid
7.0ms	61×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-mult: 17.0ms (37% of total)

ival-cos: 13.0ms (28.3% of total)

adjust: 7.0ms (15.2% of total)

ival-div: 5.0ms (10.9% of total)

ival-add: 4.0ms (8.7% of total)

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

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

exact: 0.0ms (0% of total)

Bogosity

explain2.4s (92.4%)

Memory

8.2MiB live, 1 750.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
154	-	-	`(cos.f64 (/.f64 (.f64 (.f64 (+.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)) z) t) #s(literal 16 binary64)))`
144	-	-	`(cos.f64 (/.f64 (.f64 (.f64 (+.f64 (*.f64 a #s(literal 2 binary64)) #s(literal 1 binary64)) b) t) #s(literal 16 binary64)))`
8	-	-	`(.f64 (.f64 (+.f64 (*.f64 a #s(literal 2 binary64)) #s(literal 1 binary64)) b) t)`
4	-	-	`(.f64 (.f64 (+.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)) z) t)`
1	-	-	`(/.f64 (.f64 (.f64 (+.f64 (*.f64 a #s(literal 2 binary64)) #s(literal 1 binary64)) b) t) #s(literal 16 binary64))`
0	-	-	`a`
0	-	-	`(.f64 (+.f64 (.f64 a #s(literal 2 binary64)) #s(literal 1 binary64)) b)`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`t`
0	-	-	`(.f64 (+.f64 (.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)) z)`
0	-	-	`(*.f64 y #s(literal 2 binary64))`
0	-	-	`y`
0	-	-	`(.f64 x (cos.f64 (/.f64 (.f64 (.f64 (+.f64 (.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)) z) t) #s(literal 16 binary64))))`
0	-	-	`(+.f64 (*.f64 a #s(literal 2 binary64)) #s(literal 1 binary64))`
0	-	-	`(*.f64 a #s(literal 2 binary64))`
0	-	-	`#s(literal 16 binary64)`
0	-	-	`z`
0	-	-	`#s(literal 2 binary64)`
0	-	-	`(+.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))`
0	-	-	`(.f64 (.f64 x (cos.f64 (/.f64 (.f64 (.f64 (+.f64 (.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)) z) t) #s(literal 16 binary64)))) (cos.f64 (/.f64 (.f64 (.f64 (+.f64 (.f64 a #s(literal 2 binary64)) #s(literal 1 binary64)) b) t) #s(literal 16 binary64))))`
0	-	-	`b`
0	-	-	`(/.f64 (.f64 (.f64 (+.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)) z) t) #s(literal 16 binary64))`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`cos.f64`	`(cos.f64 (/.f64 (.f64 (.f64 (+.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)) z) t) #s(literal 16 binary64)))`	sensitivity	154	1
`cos.f64`	`(cos.f64 (/.f64 (.f64 (.f64 (+.f64 (*.f64 a #s(literal 2 binary64)) #s(literal 1 binary64)) b) t) #s(literal 16 binary64)))`	sensitivity	144	0
`*.f64`	`(.f64 (.f64 (+.f64 (*.f64 a #s(literal 2 binary64)) #s(literal 1 binary64)) b) t)`	*no**	8	0
`*.f64`	`(.f64 (.f64 (+.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)) z) t)`	*no**	4	0
`/.f64`	`(/.f64 (.f64 (.f64 (+.f64 (*.f64 a #s(literal 2 binary64)) #s(literal 1 binary64)) b) t) #s(literal 16 binary64))`	o/n	1	0
↳	`(.f64 (+.f64 (.f64 a #s(literal 2 binary64)) #s(literal 1 binary64)) b)`	overflow	28
↳	`(.f64 (.f64 (+.f64 (*.f64 a #s(literal 2 binary64)) #s(literal 1 binary64)) b) t)`	overflow	55

Confusion

	Predicted +	Predicted -
+	197	0
-	0	59

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	197	0	0
-	0	0	59

Precision?

1.0

Recall?

1.0

2:

4:

8:

16:

32:

64:

128:

256:

512:

1024:

2048:

Freqs

test

number	freq
0	59
1	88
2	104
3	5

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Total Time

12.046142578125

Average Time

0.04705524444580078

Samples

679.0ms	2 352×	1	valid
93.0ms	720×	0	valid

Compiler

Compiled 5 532 to 1 128 computations (79.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 546.0ms

ival-mult: 202.0ms (37% of total)

ival-cos: 151.0ms (27.7% of total)

adjust: 82.0ms (15% of total)

ival-div: 57.0ms (10.4% of total)

ival-add: 46.0ms (8.4% of total)

exact: 4.0ms (0.7% of total)

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

ival-assert: 1.0ms (0.2% of total)

preprocess69.0ms (2.6%)

Memory

4.6MiB live, 12.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	189	743
1	481	739
2	1358	735
3	4231	735
4	6264	735
0	23	27
0	37	27
1	58	27
2	113	27
3	277	27
4	576	27
5	951	23
6	1131	23
7	1291	23
8	1291	23
9	1291	23
10	1295	23
0	1295	21

Stop Event

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

Calls

Call 1

Inputs
(.f64 (.f64 x (cos.f64 (/.f64 (.f64 (.f64 (+.f64 (.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)) z) t) #s(literal 16 binary64)))) (cos.f64 (/.f64 (.f64 (.f64 (+.f64 (.f64 a #s(literal 2 binary64)) #s(literal 1 binary64)) b) t) #s(literal 16 binary64))))

Inputs

(*.f64 (*.f64 x (cos.f64 (/.f64 (*.f64 (*.f64 (+.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)) z) t) #s(literal 16 binary64)))) (cos.f64 (/.f64 (*.f64 (*.f64 (+.f64 (*.f64 a #s(literal 2 binary64)) #s(literal 1 binary64)) b) t) #s(literal 16 binary64))))

Outputs
(.f64 (.f64 x (cos.f64 (/.f64 (.f64 (.f64 (+.f64 (.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)) z) t) #s(literal 16 binary64)))) (cos.f64 (/.f64 (.f64 (.f64 (+.f64 (.f64 a #s(literal 2 binary64)) #s(literal 1 binary64)) b) t) #s(literal 16 binary64))))
(.f64 (.f64 (cos.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/16 binary64)) (.f64 b t))) (cos.f64 (.f64 (fma.f64 #s(literal 1/8 binary64) y #s(literal 1/16 binary64)) (.f64 t z)))) x)

Outputs

(*.f64 (*.f64 x (cos.f64 (/.f64 (*.f64 (*.f64 (+.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)) z) t) #s(literal 16 binary64)))) (cos.f64 (/.f64 (*.f64 (*.f64 (+.f64 (*.f64 a #s(literal 2 binary64)) #s(literal 1 binary64)) b) t) #s(literal 16 binary64))))

(*.f64 (*.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) a #s(literal 1/16 binary64)) (*.f64 b t))) (cos.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) y #s(literal 1/16 binary64)) (*.f64 t z)))) x)

Symmetry

(abs b)

(abs t)

(abs z)

(negabs x)

Compiler

Compiled 27 to 23 computations (14.8% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 6 computations (-∞% saved)

prune6.0ms (0.2%)

Memory

-7.1MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.9%	(.f64 (.f64 x (cos.f64 (/.f64 (.f64 (.f64 (+.f64 (.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)) z) t) #s(literal 16 binary64)))) (cos.f64 (/.f64 (.f64 (.f64 (+.f64 (.f64 a #s(literal 2 binary64)) #s(literal 1 binary64)) b) t) #s(literal 16 binary64))))

Status

Accuracy

Program

27.9%

(*.f64 (*.f64 x (cos.f64 (/.f64 (*.f64 (*.f64 (+.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)) z) t) #s(literal 16 binary64)))) (cos.f64 (/.f64 (*.f64 (*.f64 (+.f64 (*.f64 a #s(literal 2 binary64)) #s(literal 1 binary64)) b) t) #s(literal 16 binary64))))

Compiler

Compiled 54 to 46 computations (14.8% saved)

simplify22.0ms (0.8%)

Memory

-0.6MiB live, 18.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	27
1	36	27

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (.f64 x (cos.f64 (/.f64 (.f64 (.f64 (+.f64 (.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)) z) t) #s(literal 16 binary64)))) (cos.f64 (/.f64 (.f64 (.f64 (+.f64 (.f64 a #s(literal 2 binary64)) #s(literal 1 binary64)) b) t) #s(literal 16 binary64))))

Inputs

(*.f64 (*.f64 x (cos.f64 (/.f64 (*.f64 (*.f64 (+.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)) z) t) #s(literal 16 binary64)))) (cos.f64 (/.f64 (*.f64 (*.f64 (+.f64 (*.f64 a #s(literal 2 binary64)) #s(literal 1 binary64)) b) t) #s(literal 16 binary64))))

Outputs
(.f64 (.f64 x (cos.f64 (/.f64 (.f64 (.f64 (+.f64 (.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)) z) t) #s(literal 16 binary64)))) (cos.f64 (/.f64 (.f64 (.f64 (+.f64 (.f64 a #s(literal 2 binary64)) #s(literal 1 binary64)) b) t) #s(literal 16 binary64))))
(.f64 (cos.f64 (/.f64 (.f64 (.f64 b (+.f64 (.f64 a #s(literal 2 binary64)) #s(literal 1 binary64))) t) #s(literal 16 binary64))) (.f64 (cos.f64 (/.f64 (.f64 t (.f64 z (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) y)))) #s(literal 16 binary64))) x))

Outputs

(*.f64 (*.f64 x (cos.f64 (/.f64 (*.f64 (*.f64 (+.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)) z) t) #s(literal 16 binary64)))) (cos.f64 (/.f64 (*.f64 (*.f64 (+.f64 (*.f64 a #s(literal 2 binary64)) #s(literal 1 binary64)) b) t) #s(literal 16 binary64))))

(*.f64 (cos.f64 (/.f64 (*.f64 (*.f64 b (+.f64 (*.f64 a #s(literal 2 binary64)) #s(literal 1 binary64))) t) #s(literal 16 binary64))) (*.f64 (cos.f64 (/.f64 (*.f64 t (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) y)))) #s(literal 16 binary64))) x))

soundness0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Stop Event

1×

fuel

Compiler

Compiled 27 to 23 computations (14.8% saved)

preprocess33.0ms (1.2%)

Memory

0.6MiB live, 15.8MiB allocated

Remove

(negabs x)

(abs z)

(abs t)

(abs b)

Compiler

Compiled 580 to 496 computations (14.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze1.0ms (0%)

sample71.0ms (2.7%)

explain2.4s (92.4%)

preprocess69.0ms (2.6%)

eval0.0ms (0%)

prune6.0ms (0.2%)

simplify22.0ms (0.8%)

soundness0.0ms (0%)

preprocess33.0ms (1.2%)

end0.0ms (0%)

Profiling