Metrics for UniformSampleCone, x

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze156.0ms (7.5%)

Memory

0.8MiB live, 56.1MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0.1%	99.9%	0%	0%	0%	0
0%	0%	0.1%	99.9%	0%	0%	0%	1
0%	0%	0.1%	99.9%	0%	0%	0%	2
0%	0%	0.1%	99.9%	0%	0%	0%	3
12.5%	0%	0.1%	99.9%	0%	0%	0%	4
18.7%	0%	0.1%	99.9%	0%	0%	0%	5
28.1%	0%	0.1%	99.9%	0%	0%	0%	6
42.2%	0%	0.1%	99.9%	0%	0%	0%	7
49.2%	0%	0%	99.9%	0%	0%	0%	8
57.4%	0.1%	0%	99.9%	0%	0%	0%	9
67%	0.1%	0%	99.9%	0%	0%	0%	10
71.8%	0.1%	0%	99.9%	0%	0%	0%	11
76.9%	0.1%	0%	99.9%	0%	0%	0%	12

Compiler

Compiled 49 to 28 computations (42.9% saved)

sample38.0ms (1.8%)

Memory

1.1MiB live, 15.7MiB allocated

Samples

27.0ms

260×

valid

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 6.0ms (27.8% of total)

const: 4.0ms (18.5% of total)

ival-cosu: 3.0ms (13.9% of total)

ival-<=: 3.0ms (13.9% of total)

ival-sub: 2.0ms (9.3% of total)

ival-add: 1.0ms (4.6% of total)

ival-and: 1.0ms (4.6% of total)

ival-sqrt: 1.0ms (4.6% of total)

adjust: 0.0ms (0% of total)

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

exact: 0.0ms (0% of total)

Bogosity

explain1.7s (80.1%)

Memory

13.2MiB live, 1 047.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
194	8	(0.0014884833944961429 2.496520392014645e-5 1.4073567820535404e-37)	-	`(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))`
1	0	-	-	`(cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))`
0	0	-	-	`#s(literal 2 binary32)`
0	0	-	-	`(PI.f32)`
0	0	-	-	`#s(literal 1 binary32)`
0	0	-	-	`(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))`
0	0	-	-	`(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))`
0	0	-	-	`maxCos`
0	0	-	-	`(*.f32 ux maxCos)`
0	0	-	-	`ux`
0	0	-	-	`(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))`
0	0	-	-	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
0	0	-	-	`uy`
0	0	-	-	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`
0	0	-	-	`(*.f32 uy #s(literal 2 binary32))`
0	0	-	-	`(-.f32 #s(literal 1 binary32) ux)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f32`	`(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))`	cancellation	202	17
`cos.f32`	`(cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))`	sensitivity	1	3

Confusion

	Predicted +	Predicted -
+	193	3
-	9	51

Precision

0.9554455445544554

Recall

0.9846938775510204

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	193	3	0
-	9	15	36

Precision?

0.8909090909090909

Recall?

1.0

Freqs

test

number	freq
0	54
1	201
2	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Total Time

25.614013671875

Average Time

0.10005474090576172

Samples

561.0ms	6 120×	0	valid
4.0ms	24×	1	valid

Compiler

Compiled 4 236 to 816 computations (80.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 382.0ms

ival-mult: 153.0ms (40% of total)

ival-cosu: 84.0ms (22% of total)

ival-sub: 48.0ms (12.6% of total)

ival-sqrt: 36.0ms (9.4% of total)

ival-add: 26.0ms (6.8% of total)

ival-pi: 20.0ms (5.2% of total)

exact: 6.0ms (1.6% of total)

ival-true: 4.0ms (1% of total)

adjust: 2.0ms (0.5% of total)

ival-assert: 2.0ms (0.5% of total)

preprocess197.0ms (9.4%)

Memory

-8.8MiB live, 53.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	242
1	211	228
2	725	228
3	3301	228
4	7188	228
0	16	25
0	27	25
1	51	25
2	132	25
3	537	25
4	2906	23
5	7334	23
0	8216	21

Stop Event

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

Calls

Call 1

Inputs
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))

Inputs

(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))

Outputs
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
(.f32 (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux ux))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy))))

Outputs

(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))

(*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux ux))) (cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))

Symmetry

(abs uy)

Compiler

Compiled 25 to 16 computations (36% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB 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
	58.0%	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))

Status

Accuracy

Program

58.0%

(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))

Compiler

Compiled 50 to 32 computations (36% saved)

simplify22.0ms (1%)

Memory

2.5MiB live, 18.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	25
1	31	25
2	45	25
3	66	25
4	90	25
5	125	25
6	200	25
7	262	25
8	286	25

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))

Inputs

(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))

Outputs
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
(.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (+.f32 (.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux))))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy))))

Outputs

(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))

(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (+.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux))))) (cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))

soundness0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Stop Event

1×

fuel

Compiler

Compiled 25 to 16 computations (36% saved)

preprocess2.0ms (0.1%)

Memory: -6.2MiB live, 1.6MiB allocated
Remove: (abs uy)
Compiler: Compiled 200 to 128 computations (36% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze156.0ms (7.5%)

sample38.0ms (1.8%)

explain1.7s (80.1%)

preprocess197.0ms (9.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify22.0ms (1%)

soundness0.0ms (0%)

preprocess2.0ms (0.1%)

end0.0ms (0%)

Profiling