Metrics for Anisotropic x16 LOD (LOD)

start0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

analyze1.4s (29.6%)

Memory

49.2MiB live, 1 370.4MiB allocated; 153ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0%	100%	0%	0%	0%	0
0%	0%	0%	100%	0%	0%	0%	1
0%	0%	0%	100%	0%	0%	0%	2
0%	0%	0%	100%	0%	0%	0%	3
0%	0%	0%	100%	0%	0%	0%	4
0%	0%	0%	100%	0%	0%	0%	5
0%	0%	0%	100%	0%	0%	0%	6
0%	0%	0%	100%	0%	0%	0%	7
0%	0%	0%	100%	0%	0%	0%	8
0%	0%	0%	100%	0%	0%	0%	9

Compiler

Compiled 229 to 67 computations (70.7% saved)

sample2.7s (57.9%)

Memory

-11.4MiB live, 2 770.2MiB allocated; 508ms collecting garbage

Samples

2.0s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.6s

ival-mult: 513.0ms (32.3% of total)

ival-div: 164.0ms (10.3% of total)

ival-floor: 160.0ms (10.1% of total)

ival-fabs: 137.0ms (8.6% of total)

const: 130.0ms (8.2% of total)

ival-log2: 100.0ms (6.3% of total)

ival-add: 70.0ms (4.4% of total)

ival-sub: 63.0ms (4% of total)

ival-sqrt: 52.0ms (3.3% of total)

ival-if: 44.0ms (2.8% of total)

ival-fmax: 43.0ms (2.7% of total)

ival-<=: 43.0ms (2.7% of total)

ival-and: 41.0ms (2.6% of total)

ival->: 19.0ms (1.2% of total)

ival-assert: 3.0ms (0.2% of total)

adjust: 3.0ms (0.2% of total)

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

Bogosity

explain466.0ms (9.9%)

Memory

-67.4MiB live, 549.2MiB allocated; 40ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
59	-	-	`(sqrt.f32 (fmax.f32 (+.f32 (.f32 (.f32 (floor.f32 w) dX.u) (.f32 (floor.f32 w) dX.u)) (.f32 (.f32 (floor.f32 h) dX.v) (.f32 (floor.f32 h) dX.v))) (+.f32 (.f32 (.f32 (floor.f32 w) dY.u) (.f32 (floor.f32 w) dY.u)) (.f32 (.f32 (floor.f32 h) dY.v) (.f32 (floor.f32 h) dY.v)))))`
58	-	-	`(/.f32 (fmax.f32 (+.f32 (.f32 (.f32 (floor.f32 w) dX.u) (.f32 (floor.f32 w) dX.u)) (.f32 (.f32 (floor.f32 h) dX.v) (.f32 (floor.f32 h) dX.v))) (+.f32 (.f32 (.f32 (floor.f32 w) dY.u) (.f32 (floor.f32 w) dY.u)) (.f32 (.f32 (floor.f32 h) dY.v) (.f32 (floor.f32 h) dY.v)))) (fabs.f32 (-.f32 (.f32 (.f32 (floor.f32 w) dX.u) (.f32 (floor.f32 h) dY.v)) (.f32 (.f32 (floor.f32 h) dX.v) (.f32 (floor.f32 w) dY.u)))))`
4	-	-	`(/.f32 (fabs.f32 (-.f32 (.f32 (.f32 (floor.f32 w) dX.u) (.f32 (floor.f32 h) dY.v)) (.f32 (.f32 (floor.f32 h) dX.v) (.f32 (floor.f32 w) dY.u)))) (sqrt.f32 (fmax.f32 (+.f32 (.f32 (.f32 (floor.f32 w) dX.u) (.f32 (floor.f32 w) dX.u)) (.f32 (.f32 (floor.f32 h) dX.v) (.f32 (floor.f32 h) dX.v))) (+.f32 (.f32 (.f32 (floor.f32 w) dY.u) (.f32 (floor.f32 w) dY.u)) (.f32 (.f32 (floor.f32 h) dY.v) (.f32 (floor.f32 h) dY.v))))))`
0	-	-	`(fabs.f32 (-.f32 (.f32 (.f32 (floor.f32 w) dX.u) (.f32 (floor.f32 h) dY.v)) (.f32 (.f32 (floor.f32 h) dX.v) (.f32 (floor.f32 w) dY.u))))`
0	-	-	`(+.f32 (.f32 (.f32 (floor.f32 w) dX.u) (.f32 (floor.f32 w) dX.u)) (.f32 (.f32 (floor.f32 h) dX.v) (.f32 (floor.f32 h) dX.v)))`
0	-	-	(if (>.f32 (/.f32 (fmax.f32 (+.f32 (.f32 (.f32 (floor.f32 w) dX.u) (.f32 (floor.f32 w) dX.u)) (.f32 (.f32 (floor.f32 h) dX.v) (.f32 (floor.f32 h) dX.v))) (+.f32 (.f32 (.f32 (floor.f32 w) dY.u) (.f32 (floor.f32 w) dY.u)) (.f32 (.f32 (floor.f32 h) dY.v) (.f32 (floor.f32 h) dY.v)))) (fabs.f32 (-.f32 (.f32 (.f32 (floor.f32 w) dX.u) (.f32 (floor.f32 h) dY.v)) (.f32 (.f32 (floor.f32 h) dX.v) (.f32 (floor.f32 w) dY.u))))) (floor.f32 maxAniso)) (/.f32 (sqrt.f32 (fmax.f32 (+.f32 (.f32 (.f32 (floor.f32 w) dX.u) (.f32 (floor.f32 w) dX.u)) (.f32 (.f32 (floor.f32 h) dX.v) (.f32 (floor.f32 h) dX.v))) (+.f32 (.f32 (.f32 (floor.f32 w) dY.u) (.f32 (floor.f32 w) dY.u)) (.f32 (.f32 (floor.f32 h) dY.v) (.f32 (floor.f32 h) dY.v))))) (floor.f32 maxAniso)) (/.f32 (fabs.f32 (-.f32 (.f32 (.f32 (floor.f32 w) dX.u) (.f32 (floor.f32 h) dY.v)) (.f32 (.f32 (floor.f32 h) dX.v) (.f32 (floor.f32 w) dY.u)))) (sqrt.f32 (fmax.f32 (+.f32 (.f32 (.f32 (floor.f32 w) dX.u) (.f32 (floor.f32 w) dX.u)) (.f32 (.f32 (floor.f32 h) dX.v) (.f32 (floor.f32 h) dX.v))) (+.f32 (.f32 (.f32 (floor.f32 w) dY.u) (.f32 (floor.f32 w) dY.u)) (.f32 (.f32 (floor.f32 h) dY.v) (.f32 (floor.f32 h) dY.v)))))))
0	-	-	`(.f32 (.f32 (floor.f32 h) dX.v) (*.f32 (floor.f32 w) dY.u))`
0	-	-	`(*.f32 (floor.f32 h) dY.v)`
0	-	-	`(>.f32 (/.f32 (fmax.f32 (+.f32 (.f32 (.f32 (floor.f32 w) dX.u) (.f32 (floor.f32 w) dX.u)) (.f32 (.f32 (floor.f32 h) dX.v) (.f32 (floor.f32 h) dX.v))) (+.f32 (.f32 (.f32 (floor.f32 w) dY.u) (.f32 (floor.f32 w) dY.u)) (.f32 (.f32 (floor.f32 h) dY.v) (.f32 (floor.f32 h) dY.v)))) (fabs.f32 (-.f32 (.f32 (.f32 (floor.f32 w) dX.u) (.f32 (floor.f32 h) dY.v)) (.f32 (.f32 (floor.f32 h) dX.v) (.f32 (floor.f32 w) dY.u))))) (floor.f32 maxAniso))`
0	-	-	`(*.f32 (floor.f32 w) dY.u)`
0	-	-	`(/.f32 (sqrt.f32 (fmax.f32 (+.f32 (.f32 (.f32 (floor.f32 w) dX.u) (.f32 (floor.f32 w) dX.u)) (.f32 (.f32 (floor.f32 h) dX.v) (.f32 (floor.f32 h) dX.v))) (+.f32 (.f32 (.f32 (floor.f32 w) dY.u) (.f32 (floor.f32 w) dY.u)) (.f32 (.f32 (floor.f32 h) dY.v) (.f32 (floor.f32 h) dY.v))))) (floor.f32 maxAniso))`
0	-	-	`(floor.f32 maxAniso)`
0	-	-	`(fmax.f32 (+.f32 (.f32 (.f32 (floor.f32 w) dX.u) (.f32 (floor.f32 w) dX.u)) (.f32 (.f32 (floor.f32 h) dX.v) (.f32 (floor.f32 h) dX.v))) (+.f32 (.f32 (.f32 (floor.f32 w) dY.u) (.f32 (floor.f32 w) dY.u)) (.f32 (.f32 (floor.f32 h) dY.v) (.f32 (floor.f32 h) dY.v))))`
0	-	-	`dY.u`
0	-	-	`(.f32 (.f32 (floor.f32 h) dY.v) (*.f32 (floor.f32 h) dY.v))`
0	-	-	`dX.v`
0	-	-	`(.f32 (.f32 (floor.f32 w) dX.u) (*.f32 (floor.f32 w) dX.u))`
0	-	-	`(floor.f32 w)`
0	-	-	`(.f32 (.f32 (floor.f32 w) dY.u) (*.f32 (floor.f32 w) dY.u))`
0	-	-	`(*.f32 (floor.f32 w) dX.u)`
0	-	-	`maxAniso`
0	-	-	`(+.f32 (.f32 (.f32 (floor.f32 w) dY.u) (.f32 (floor.f32 w) dY.u)) (.f32 (.f32 (floor.f32 h) dY.v) (.f32 (floor.f32 h) dY.v)))`
0	-	-	(log2.f32 (if (>.f32 (/.f32 (fmax.f32 (+.f32 (.f32 (.f32 (floor.f32 w) dX.u) (.f32 (floor.f32 w) dX.u)) (.f32 (.f32 (floor.f32 h) dX.v) (.f32 (floor.f32 h) dX.v))) (+.f32 (.f32 (.f32 (floor.f32 w) dY.u) (.f32 (floor.f32 w) dY.u)) (.f32 (.f32 (floor.f32 h) dY.v) (.f32 (floor.f32 h) dY.v)))) (fabs.f32 (-.f32 (.f32 (.f32 (floor.f32 w) dX.u) (.f32 (floor.f32 h) dY.v)) (.f32 (.f32 (floor.f32 h) dX.v) (.f32 (floor.f32 w) dY.u))))) (floor.f32 maxAniso)) (/.f32 (sqrt.f32 (fmax.f32 (+.f32 (.f32 (.f32 (floor.f32 w) dX.u) (.f32 (floor.f32 w) dX.u)) (.f32 (.f32 (floor.f32 h) dX.v) (.f32 (floor.f32 h) dX.v))) (+.f32 (.f32 (.f32 (floor.f32 w) dY.u) (.f32 (floor.f32 w) dY.u)) (.f32 (.f32 (floor.f32 h) dY.v) (.f32 (floor.f32 h) dY.v))))) (floor.f32 maxAniso)) (/.f32 (fabs.f32 (-.f32 (.f32 (.f32 (floor.f32 w) dX.u) (.f32 (floor.f32 h) dY.v)) (.f32 (.f32 (floor.f32 h) dX.v) (.f32 (floor.f32 w) dY.u)))) (sqrt.f32 (fmax.f32 (+.f32 (.f32 (.f32 (floor.f32 w) dX.u) (.f32 (floor.f32 w) dX.u)) (.f32 (.f32 (floor.f32 h) dX.v) (.f32 (floor.f32 h) dX.v))) (+.f32 (.f32 (.f32 (floor.f32 w) dY.u) (.f32 (floor.f32 w) dY.u)) (.f32 (.f32 (floor.f32 h) dY.v) (.f32 (floor.f32 h) dY.v))))))))
0	-	-	`(.f32 (.f32 (floor.f32 w) dX.u) (*.f32 (floor.f32 h) dY.v))`
0	-	-	`(-.f32 (.f32 (.f32 (floor.f32 w) dX.u) (.f32 (floor.f32 h) dY.v)) (.f32 (.f32 (floor.f32 h) dX.v) (.f32 (floor.f32 w) dY.u)))`
0	-	-	`(*.f32 (floor.f32 h) dX.v)`
0	-	-	`(floor.f32 h)`
0	-	-	`w`
0	-	-	`(.f32 (.f32 (floor.f32 h) dX.v) (*.f32 (floor.f32 h) dX.v))`
0	-	-	`dY.v`
0	-	-	`h`
0	-	-	`dX.u`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f32`	`(sqrt.f32 (fmax.f32 (+.f32 (.f32 (.f32 (floor.f32 w) dX.u) (.f32 (floor.f32 w) dX.u)) (.f32 (.f32 (floor.f32 h) dX.v) (.f32 (floor.f32 h) dX.v))) (+.f32 (.f32 (.f32 (floor.f32 w) dY.u) (.f32 (floor.f32 w) dY.u)) (.f32 (.f32 (floor.f32 h) dY.v) (.f32 (floor.f32 h) dY.v)))))`	oflow-rescue	59	0
↳	`(.f32 (.f32 (floor.f32 h) dY.v) (*.f32 (floor.f32 h) dY.v))`	overflow	19
↳	`(+.f32 (.f32 (.f32 (floor.f32 w) dY.u) (.f32 (floor.f32 w) dY.u)) (.f32 (.f32 (floor.f32 h) dY.v) (.f32 (floor.f32 h) dY.v)))`	overflow	37
↳	`(.f32 (.f32 (floor.f32 h) dX.v) (*.f32 (floor.f32 h) dX.v))`	overflow	11
↳	`(.f32 (.f32 (floor.f32 w) dX.u) (*.f32 (floor.f32 w) dX.u))`	overflow	19
↳	`(+.f32 (.f32 (.f32 (floor.f32 w) dX.u) (.f32 (floor.f32 w) dX.u)) (.f32 (.f32 (floor.f32 h) dX.v) (.f32 (floor.f32 h) dX.v)))`	overflow	28
↳	`(fmax.f32 (+.f32 (.f32 (.f32 (floor.f32 w) dX.u) (.f32 (floor.f32 w) dX.u)) (.f32 (.f32 (floor.f32 h) dX.v) (.f32 (floor.f32 h) dX.v))) (+.f32 (.f32 (.f32 (floor.f32 w) dY.u) (.f32 (floor.f32 w) dY.u)) (.f32 (.f32 (floor.f32 h) dY.v) (.f32 (floor.f32 h) dY.v))))`	overflow	59
↳	`(.f32 (.f32 (floor.f32 w) dY.u) (*.f32 (floor.f32 w) dY.u))`	overflow	18
`/.f32`	`(/.f32 (fmax.f32 (+.f32 (.f32 (.f32 (floor.f32 w) dX.u) (.f32 (floor.f32 w) dX.u)) (.f32 (.f32 (floor.f32 h) dX.v) (.f32 (floor.f32 h) dX.v))) (+.f32 (.f32 (.f32 (floor.f32 w) dY.u) (.f32 (floor.f32 w) dY.u)) (.f32 (.f32 (floor.f32 h) dY.v) (.f32 (floor.f32 h) dY.v)))) (fabs.f32 (-.f32 (.f32 (.f32 (floor.f32 w) dX.u) (.f32 (floor.f32 h) dY.v)) (.f32 (.f32 (floor.f32 h) dX.v) (.f32 (floor.f32 w) dY.u)))))`	o/n	54	0
↳	`(.f32 (.f32 (floor.f32 h) dY.v) (*.f32 (floor.f32 h) dY.v))`	overflow	19
↳	`(+.f32 (.f32 (.f32 (floor.f32 w) dY.u) (.f32 (floor.f32 w) dY.u)) (.f32 (.f32 (floor.f32 h) dY.v) (.f32 (floor.f32 h) dY.v)))`	overflow	37
↳	`(.f32 (.f32 (floor.f32 h) dX.v) (*.f32 (floor.f32 h) dX.v))`	overflow	11
↳	`(.f32 (.f32 (floor.f32 w) dX.u) (*.f32 (floor.f32 w) dX.u))`	overflow	19
↳	`(+.f32 (.f32 (.f32 (floor.f32 w) dX.u) (.f32 (floor.f32 w) dX.u)) (.f32 (.f32 (floor.f32 h) dX.v) (.f32 (floor.f32 h) dX.v)))`	overflow	28
↳	`(fmax.f32 (+.f32 (.f32 (.f32 (floor.f32 w) dX.u) (.f32 (floor.f32 w) dX.u)) (.f32 (.f32 (floor.f32 h) dX.v) (.f32 (floor.f32 h) dX.v))) (+.f32 (.f32 (.f32 (floor.f32 w) dY.u) (.f32 (floor.f32 w) dY.u)) (.f32 (.f32 (floor.f32 h) dY.v) (.f32 (floor.f32 h) dY.v))))`	overflow	59
↳	`(.f32 (.f32 (floor.f32 w) dY.u) (*.f32 (floor.f32 w) dY.u))`	overflow	18
`/.f32`	`(/.f32 (fabs.f32 (-.f32 (.f32 (.f32 (floor.f32 w) dX.u) (.f32 (floor.f32 h) dY.v)) (.f32 (.f32 (floor.f32 h) dX.v) (.f32 (floor.f32 w) dY.u)))) (sqrt.f32 (fmax.f32 (+.f32 (.f32 (.f32 (floor.f32 w) dX.u) (.f32 (floor.f32 w) dX.u)) (.f32 (.f32 (floor.f32 h) dX.v) (.f32 (floor.f32 h) dX.v))) (+.f32 (.f32 (.f32 (floor.f32 w) dY.u) (.f32 (floor.f32 w) dY.u)) (.f32 (.f32 (floor.f32 h) dY.v) (.f32 (floor.f32 h) dY.v))))))`	o/n	4	0
↳	`(fabs.f32 (-.f32 (.f32 (.f32 (floor.f32 w) dX.u) (.f32 (floor.f32 h) dY.v)) (.f32 (.f32 (floor.f32 h) dX.v) (.f32 (floor.f32 w) dY.u))))`	overflow	4
↳	`(-.f32 (.f32 (.f32 (floor.f32 w) dX.u) (.f32 (floor.f32 h) dY.v)) (.f32 (.f32 (floor.f32 h) dX.v) (.f32 (floor.f32 w) dY.u)))`	overflow	4
↳	`(.f32 (.f32 (floor.f32 w) dX.u) (*.f32 (floor.f32 h) dY.v))`	overflow	3
↳	`(.f32 (.f32 (floor.f32 h) dX.v) (*.f32 (floor.f32 w) dY.u))`	overflow	1
`/.f32`	`(/.f32 (fmax.f32 (+.f32 (.f32 (.f32 (floor.f32 w) dX.u) (.f32 (floor.f32 w) dX.u)) (.f32 (.f32 (floor.f32 h) dX.v) (.f32 (floor.f32 h) dX.v))) (+.f32 (.f32 (.f32 (floor.f32 w) dY.u) (.f32 (floor.f32 w) dY.u)) (.f32 (.f32 (floor.f32 h) dY.v) (.f32 (floor.f32 h) dY.v)))) (fabs.f32 (-.f32 (.f32 (.f32 (floor.f32 w) dX.u) (.f32 (floor.f32 h) dY.v)) (.f32 (.f32 (floor.f32 h) dX.v) (.f32 (floor.f32 w) dY.u)))))`	o/o	4	0
↳	`(.f32 (.f32 (floor.f32 h) dY.v) (*.f32 (floor.f32 h) dY.v))`	overflow	19
↳	`(+.f32 (.f32 (.f32 (floor.f32 w) dY.u) (.f32 (floor.f32 w) dY.u)) (.f32 (.f32 (floor.f32 h) dY.v) (.f32 (floor.f32 h) dY.v)))`	overflow	37
↳	`(.f32 (.f32 (floor.f32 h) dX.v) (*.f32 (floor.f32 h) dX.v))`	overflow	11
↳	`(.f32 (.f32 (floor.f32 w) dX.u) (*.f32 (floor.f32 w) dX.u))`	overflow	19
↳	`(+.f32 (.f32 (.f32 (floor.f32 w) dX.u) (.f32 (floor.f32 w) dX.u)) (.f32 (.f32 (floor.f32 h) dX.v) (.f32 (floor.f32 h) dX.v)))`	overflow	28
↳	`(fmax.f32 (+.f32 (.f32 (.f32 (floor.f32 w) dX.u) (.f32 (floor.f32 w) dX.u)) (.f32 (.f32 (floor.f32 h) dX.v) (.f32 (floor.f32 h) dX.v))) (+.f32 (.f32 (.f32 (floor.f32 w) dY.u) (.f32 (floor.f32 w) dY.u)) (.f32 (.f32 (floor.f32 h) dY.v) (.f32 (floor.f32 h) dY.v))))`	overflow	59
↳	`(.f32 (.f32 (floor.f32 w) dY.u) (*.f32 (floor.f32 w) dY.u))`	overflow	18
↳	`(fabs.f32 (-.f32 (.f32 (.f32 (floor.f32 w) dX.u) (.f32 (floor.f32 h) dY.v)) (.f32 (.f32 (floor.f32 h) dX.v) (.f32 (floor.f32 w) dY.u))))`	overflow	4
↳	`(-.f32 (.f32 (.f32 (floor.f32 w) dX.u) (.f32 (floor.f32 h) dY.v)) (.f32 (.f32 (floor.f32 h) dX.v) (.f32 (floor.f32 w) dY.u)))`	overflow	4
↳	`(.f32 (.f32 (floor.f32 w) dX.u) (*.f32 (floor.f32 h) dY.v))`	overflow	3
↳	`(.f32 (.f32 (floor.f32 h) dX.v) (*.f32 (floor.f32 w) dY.u))`	overflow	1

Confusion

	Predicted +	Predicted -
+	59	0
-	0	197

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	197
1	1
2	54
3	4

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

106.0ms	500×	0	valid
5.0ms	12×	1	valid

Compiler

Compiled 1 779 to 100 computations (94.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

ival-mult: 32.0ms (41.1% of total)

ival-div: 9.0ms (11.6% of total)

ival-floor: 9.0ms (11.6% of total)

ival-log2: 6.0ms (7.7% of total)

ival-add: 5.0ms (6.4% of total)

ival-sqrt: 4.0ms (5.1% of total)

ival-fmax: 3.0ms (3.9% of total)

ival-fabs: 3.0ms (3.9% of total)

ival-if: 2.0ms (2.6% of total)

ival-sub: 2.0ms (2.6% of total)

adjust: 1.0ms (1.3% of total)

ival->: 1.0ms (1.3% of total)

ival-true: 1.0ms (1.3% of total)

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

preprocess124.0ms (2.6%)

Memory

-11.6MiB live, 81.3MiB allocated; 17ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	485	6175
1	1410	6111
2	5423	6111
0	32	169
0	56	169
1	124	169
2	411	163
3	1462	157
4	3770	157
5	7644	157
0	8031	157

Stop Event

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

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze1.4s (29.6%)

sample2.7s (57.9%)

explain466.0ms (9.9%)

preprocess124.0ms (2.6%)

end0.0ms (0%)

Profiling