Metrics for UniformSampleCone, x

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze161.0ms (8.9%)

Memory

7.2MiB live, 55.7MiB 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)

sample39.0ms (2.2%)

Memory

-0.3MiB live, 15.4MiB allocated

Samples

29.0ms

260×

valid

Precisions

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

ival-mult: 5.0ms (22.2% of total)

ival-cosu: 4.0ms (17.8% of total)

const: 4.0ms (17.8% of total)

ival-<=: 3.0ms (13.3% of total)

ival-sub: 2.0ms (8.9% of total)

ival-sqrt: 2.0ms (8.9% of total)

ival-add: 1.0ms (4.4% of total)

ival-and: 1.0ms (4.4% of total)

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

exact: 0.0ms (0% of total)

Bogosity

explain1.4s (75.4%)

Memory

3.8MiB live, 1 068.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
204	4	(0.005933899432420731 3.0970554689702112e-6 2.1975071762270204e-10)	0	-	`(-.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))))`
2	0	-	1	(0.08614198118448257 0.2534267008304596 1.2546015727691235e-38)	`(cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))`
0	0	-	0	-	`#s(literal 2 binary32)`
0	0	-	0	-	`(PI.f32)`
0	0	-	0	-	`#s(literal 1 binary32)`
0	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	-	0	-	`(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))`
0	0	-	0	-	`maxCos`
0	0	-	0	-	`(*.f32 ux maxCos)`
0	0	-	0	-	`ux`
0	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	-	0	-	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
0	0	-	0	-	`uy`
0	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	-	0	-	`(*.f32 uy #s(literal 2 binary32))`
0	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	208	15
`cos.f32`	`(cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))`	cancelation	1	0

Confusion

	Predicted +	Predicted -
+	204	3
-	4	45

Precision

0.9807692307692307

Recall

0.9855072463768116

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	204	3	0
-	4	14	31

Precision?

0.92

Recall?

1.0

2:

4:

8:

16:

32:

64:

128:

256:

512:

1024:

2048:

Freqs

test

number	freq
0	48
1	207
2	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Total Time

10.825927734375

Average Time

0.042288780212402344

Samples

290.0ms

3 072×

valid

Compiler

Compiled 4 212 to 792 computations (81.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 196.0ms

ival-mult: 81.0ms (41.3% of total)

ival-cosu: 41.0ms (20.9% of total)

ival-sub: 25.0ms (12.7% of total)

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

ival-add: 14.0ms (7.1% of total)

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

exact: 3.0ms (1.5% of total)

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

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

preprocess218.0ms (12.1%)

Memory

-4.4MiB 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
	53.8%	(.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

53.8%

(*.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)

simplify23.0ms (1.3%)

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: 1.7MiB live, 1.7MiB 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%)

analyze161.0ms (8.9%)

sample39.0ms (2.2%)

explain1.4s (75.4%)

preprocess218.0ms (12.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify23.0ms (1.3%)

soundness0.0ms (0%)

preprocess2.0ms (0.1%)

end0.0ms (0%)

Profiling