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)

sample69.0ms (2.6%)

Memory

6.3MiB live, 22.8MiB allocated

Samples

48.0ms	197×	1	valid
7.0ms	63×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-mult: 17.0ms (37.8% of total)

ival-cos: 14.0ms (31.1% of total)

adjust: 5.0ms (11.1% of total)

ival-div: 5.0ms (11.1% of total)

ival-add: 4.0ms (8.9% of total)

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

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

exact: 0.0ms (0% of total)

Bogosity

explain2.5s (92.5%)

Memory

13.4MiB live, 1 761.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
162	-	1	(-5.221510382173709e+21 -1.36575191601675e-210 -2.5027368276089692e-256 -6.280327912326697e-29 3.022430540927711e-188 -1.6402597976616493e+32)	`(cos.f64 (/.f64 (.f64 (.f64 (+.f64 (*.f64 a #s(literal 2 binary64)) #s(literal 1 binary64)) b) t) #s(literal 16 binary64)))`
154	-	0	-	`(cos.f64 (/.f64 (.f64 (.f64 (+.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)) z) t) #s(literal 16 binary64)))`
14	-	0	-	`(.f64 (.f64 (+.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)) z) t)`
8	-	0	-	`(.f64 (.f64 (+.f64 (*.f64 a #s(literal 2 binary64)) #s(literal 1 binary64)) b) t)`
0	-	0	-	`a`
0	-	0	-	`(.f64 (+.f64 (.f64 a #s(literal 2 binary64)) #s(literal 1 binary64)) b)`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`t`
0	-	0	-	`(.f64 (+.f64 (.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)) z)`
0	-	0	-	`(*.f64 y #s(literal 2 binary64))`
0	-	0	-	`y`
0	-	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	-	0	-	`(+.f64 (*.f64 a #s(literal 2 binary64)) #s(literal 1 binary64))`
0	-	0	-	`(*.f64 a #s(literal 2 binary64))`
0	-	0	-	`#s(literal 16 binary64)`
0	-	0	-	`z`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(/.f64 (.f64 (.f64 (+.f64 (*.f64 a #s(literal 2 binary64)) #s(literal 1 binary64)) b) t) #s(literal 16 binary64))`
0	-	0	-	`(+.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1 binary64))`
0	-	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	-	0	-	`b`
0	-	0	-	`(/.f64 (.f64 (.f64 (+.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)) z) t) #s(literal 16 binary64))`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`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	161	1
`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	0
`*.f64`	`(.f64 (.f64 (+.f64 (*.f64 y #s(literal 2 binary64)) #s(literal 1 binary64)) z) t)`	*no**	14	0
`*.f64`	`(.f64 (.f64 (+.f64 (*.f64 a #s(literal 2 binary64)) #s(literal 1 binary64)) b) t)`	*no**	8	0

Confusion

	Predicted +	Predicted -
+	197	1
-	0	58

Precision

1.0

Recall

0.9949494949494949

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	197	1	0
-	0	0	58

Precision?

1.0

Recall?

1.0

2:

4:

8:

16:

32:

64:

128:

256:

512:

1024:

2048:

Freqs

test

number	freq
0	59
1	66
2	124
3	5
4	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Total Time

11.6171875

Average Time

0.045379638671875

Samples

664.0ms	2 328×	1	valid
95.0ms	744×	0	valid

Compiler

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

Precisions

Click to see histograms. Total time spent on operations: 534.0ms

ival-mult: 205.0ms (38.4% of total)

ival-cos: 158.0ms (29.6% of total)

adjust: 60.0ms (11.2% of total)

ival-div: 58.0ms (10.9% of total)

ival-add: 46.0ms (8.6% 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)

preprocess75.0ms (2.8%)

Memory

-7.4MiB live, 12.4MiB 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)

prune1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
	27.2%	(.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

27.2%

(*.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)

simplify20.0ms (0.8%)

Memory

3.0MiB 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)

preprocess34.0ms (1.3%)

Memory

-0.1MiB live, 15.6MiB 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%)

sample69.0ms (2.6%)

explain2.5s (92.5%)

preprocess75.0ms (2.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify20.0ms (0.8%)

soundness0.0ms (0%)

preprocess34.0ms (1.3%)

end0.0ms (0%)

Profiling