Metrics for UniformSampleCone, x

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze158.0ms (9%)

Memory

-0.1MiB live, 56.2MiB 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 (2.2%)

Memory

7.6MiB live, 15.6MiB allocated

Samples

28.0ms

260×

valid

Precisions

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

ival-mult: 5.0ms (23.1% 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 (9.2% of total)

ival-sqrt: 2.0ms (9.2% of total)

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

ival-and: 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

explain1.3s (75.3%)

Memory

6.5MiB live, 1 070.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
201	55	(0.023670393973588943 0.0016273147193714976 5.5624949091281906e-11)	-	`(-.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	21	(0.013458727858960629 0.5796036124229431 0.2584858536720276)	-	`(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	256
`cos.f32`	`(cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))`	sensitivity	21
`cos.f32`	`(cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))`	cancelation	1

Confusion

	Predicted +	Predicted -
+	200	0
-	56	0

Precision

0.78125

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	200	0	0
-	56	0	0

Precision?

0.78125

Recall?

1.0

Freqs

test

number	freq
1	234
2	22

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Total Time

10.18017578125

Average Time

0.03976631164550781

Samples

278.0ms	3 000×	0	valid
12.0ms	72×	1	valid

Compiler

Compiled 4 212 to 792 computations (81.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 195.0ms

ival-mult: 79.0ms (40.5% of total)

ival-cosu: 39.0ms (20% of total)

ival-sub: 26.0ms (13.3% of total)

ival-sqrt: 19.0ms (9.7% of total)

ival-add: 14.0ms (7.2% of total)

ival-pi: 10.0ms (5.1% of total)

adjust: 3.0ms (1.5% of total)

exact: 3.0ms (1.5% of total)

ival-true: 2.0ms (1% of total)

ival-assert: 1.0ms (0.5% of total)

preprocess211.0ms (12.1%)

Memory

-4.5MiB 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
	55.7%	(.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

55.7%

(*.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)

simplify21.0ms (1.2%)

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)

preprocess3.0ms (0.2%)

Memory: -8.2MiB 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%)

analyze158.0ms (9%)

sample38.0ms (2.2%)

explain1.3s (75.3%)

preprocess211.0ms (12.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify21.0ms (1.2%)

soundness0.0ms (0%)

preprocess3.0ms (0.2%)

end0.0ms (0%)

Profiling