Metrics for UniformSampleCone 2

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze490.0ms (33.2%)

Memory

7.5MiB live, 191.0MiB allocated

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
25%	0%	0%	100%	0%	0%	0%	6
25%	0%	0%	100%	0%	0%	0%	7
25%	0%	0%	100%	0%	0%	0%	8
25%	0%	0%	100%	0%	0%	0%	9
25%	0%	0%	100%	0%	0%	0%	10
37.5%	0%	0%	100%	0%	0%	0%	11
56.2%	0%	0%	100%	0%	0%	0%	12

Compiler

Compiled 113 to 52 computations (54% saved)

sample63.0ms (4.3%)

Memory

-3.1MiB live, 26.7MiB allocated

Samples

46.0ms

260×

valid

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-mult: 12.0ms (32.6% of total)

ival-<=: 6.0ms (16.3% of total)

ival-cosu: 4.0ms (10.9% of total)

const: 4.0ms (10.9% of total)

ival-sinu: 3.0ms (8.2% of total)

ival-add: 2.0ms (5.4% of total)

ival-sub: 2.0ms (5.4% of total)

ival-and: 2.0ms (5.4% of total)

ival-sqrt: 2.0ms (5.4% of total)

exact: 1.0ms (2.7% of total)

adjust: 0.0ms (0% of total)

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

Bogosity

explain636.0ms (43.2%)

Memory

11.8MiB live, 244.8MiB allocated

Confusion

	Predicted +	Predicted -
+	0	1
-	0	255

Precision

0/0

Recall

0.0

2:

4:

8:

16:

32:

64:

128:

256:

512:

1024:

2048:

Samples

404.0ms

3 072×

valid

Compiler

Compiled 2 364 to 936 computations (60.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 304.0ms

ival-mult: 143.0ms (47.1% of total)

ival-cosu: 45.0ms (14.8% of total)

ival-sinu: 41.0ms (13.5% of total)

ival-sub: 25.0ms (8.2% of total)

ival-add: 22.0ms (7.2% of total)

ival-sqrt: 19.0ms (6.3% of total)

exact: 3.0ms (1% of total)

ival-true: 2.0ms (0.7% of total)

adjust: 1.0ms (0.3% of total)

ival-assert: 1.0ms (0.3% of total)

preprocess254.0ms (17.2%)

Memory

-11.4MiB live, 53.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	244	1791
1	771	1759
2	2733	1242
3	7506	1242
0	26	65
0	44	65
1	83	65
2	216	46
3	781	46
4	2648	46
5	4666	46
0	8297	43

Stop Event

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

Calls

Call 1

Inputs
(+.f32 (+.f32 (.f32 (.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux))))) xi) (.f32 (.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux))))) yi)) (.f32 (.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) zi))

Inputs

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

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

Outputs

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

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

Compiler

Compiled 65 to 26 computations (60% saved)

eval0.0ms (0%)

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

prune1.0ms (0.1%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.8%	(+.f32 (+.f32 (.f32 (.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux))))) xi) (.f32 (.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux))))) yi)) (.f32 (.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) zi))

Status

Accuracy

Program

98.8%

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

Compiler

Compiled 130 to 52 computations (60% saved)

simplify28.0ms (1.9%)

Memory

2.8MiB live, 18.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	65
1	47	65
2	62	65
3	76	65
4	89	65
5	110	65
6	144	65
7	224	65
8	303	65
9	337	65
10	350	65
11	362	65
12	367	65
13	368	65

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f32 (+.f32 (.f32 (.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux))))) xi) (.f32 (.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux))))) yi)) (.f32 (.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) zi))

Inputs

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

Outputs
(+.f32 (+.f32 (.f32 (.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux))))) xi) (.f32 (.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux))))) yi)) (.f32 (.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) zi))
(-.f32 (+.f32 (.f32 yi (.f32 (sin.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 maxCos (-.f32 #s(literal 1 binary32) ux)) ux) (.f32 (.f32 maxCos (-.f32 #s(literal 1 binary32) ux)) ux)))))) (.f32 xi (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 maxCos (-.f32 #s(literal 1 binary32) ux)) ux) (.f32 (.f32 maxCos (-.f32 #s(literal 1 binary32) ux)) ux)))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy)))))) (.f32 (.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) maxCos) ux) zi))

Outputs

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

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

soundness0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Stop Event

1×

fuel

Compiler

Compiled 65 to 29 computations (55.4% saved)

preprocess1.0ms (0.1%)

Memory: -7.2MiB live, 0.7MiB allocated
Compiler: Compiled 260 to 110 computations (57.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	26	65
1	47	65
2	62	65
3	76	65
4	89	65
5	110	65
6	144	65
7	224	65
8	303	65
9	337	65
10	350	65
11	362	65
12	367	65
13	368	65

Iter	Nodes	Cost
0	26	65
1	47	65
2	62	65
3	76	65
4	89	65
5	110	65
6	144	65
7	224	65
8	303	65
9	337	65
10	350	65
11	362	65
12	367	65
13	368	65

start0.0ms (0%)

analyze490.0ms (33.2%)

sample63.0ms (4.3%)

explain636.0ms (43.2%)

preprocess254.0ms (17.2%)

eval0.0ms (0%)

prune1.0ms (0.1%)

simplify28.0ms (1.9%)

soundness0.0ms (0%)

preprocess1.0ms (0.1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	26	65
1	47	65
2	62	65
3	76	65
4	89	65
5	110	65
6	144	65
7	224	65
8	303	65
9	337	65
10	350	65
11	362	65
12	367	65
13	368	65