Metrics for Beckmann Sample, near normal, slope

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze225.0ms (4%)

Memory

3.5MiB live, 66.8MiB 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
18.7%	0%	0%	100%	0%	0%	0%	6
28.1%	0%	0%	100%	0%	0%	0%	7
32.8%	0%	0%	100%	0%	0%	0%	8
49.2%	0%	0%	100%	0%	0%	0%	9
57.4%	0%	0%	100%	0%	0%	0%	10
61.5%	0%	0%	100%	0%	0%	0%	11
71.8%	0%	0%	100%	0%	0%	0%	12

Compiler

Compiled 37 to 24 computations (35.1% saved)

sample40.0ms (0.7%)

Memory

-0.9MiB live, 13.9MiB allocated

Samples

31.0ms

260×

valid

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

const: 7.0ms (28.7% of total)

ival-log: 4.0ms (16.4% of total)

ival-sinu: 4.0ms (16.4% of total)

ival-<=: 3.0ms (12.3% of total)

ival-mult: 2.0ms (8.2% of total)

ival-neg: 2.0ms (8.2% of total)

ival-sub: 1.0ms (4.1% of total)

ival-and: 1.0ms (4.1% of total)

ival-sqrt: 1.0ms (4.1% of total)

ival->: 1.0ms (4.1% of total)

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

exact: 0.0ms (0% of total)

Bogosity

explain5.3s (93.8%)

Memory

37.9MiB live, 2 979.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
195	3	(0.9999043345451355 0.0005338186165317893 0.918036699295044)	0	-	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
5	0	-	5	(0.9999147653579712 3.960047223472429e-8 0.49740391969680786)	`(sin.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2))`
0	0	-	0	-	`(-.f32 #s(literal 1 binary32) u1)`
0	0	-	0	-	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u2)`
0	0	-	0	-	`u2`
0	0	-	0	-	`(PI.f32)`
0	0	-	0	-	`#s(literal 2 binary32)`
0	0	-	0	-	`#s(literal 1 binary32)`
0	0	-	0	-	`(sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1))))`
0	0	-	0	-	`u1`
0	0	-	0	-	`(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))`
0	0	-	0	-	`(neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))`
0	0	-	0	-	`(*.f32 #s(literal 2 binary32) (PI.f32))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f32`	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`	sensitivity	198	8

Confusion

	Predicted +	Predicted -
+	192	2
-	6	56

Precision

0.9696969696969697

Recall

0.9896907216494846

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	192	1	1
-	6	8	48

Precision?

0.9323671497584541

Recall?

0.9948453608247423

Freqs

test

number	freq
0	58
1	198

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Total Time

26.859375

Average Time

0.10491943359375

Samples

2.2s

23 040×

valid

Compiler

Compiled 7 515 to 2 700 computations (64.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.5s

ival-mult: 378.0ms (24.8% of total)

ival-sinu: 346.0ms (22.7% of total)

ival-log: 332.0ms (21.8% of total)

ival-sqrt: 134.0ms (8.8% of total)

ival-sub: 110.0ms (7.2% of total)

ival-neg: 91.0ms (6% of total)

ival-pi: 84.0ms (5.5% of total)

exact: 24.0ms (1.6% of total)

ival-true: 17.0ms (1.1% of total)

ival-assert: 8.0ms (0.5% of total)

preprocess49.0ms (0.9%)

Memory

-0.5MiB live, 7.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	122
1	99	117
2	190	117
3	353	117
4	632	117
5	1016	117
6	1275	117
7	1572	117
8	2181	117
9	2238	117
10	2263	117
11	2271	117
0	13	13
0	22	13
1	34	13
2	46	13
3	55	13
4	63	13
5	75	13
6	89	13
7	97	13
8	100	13
0	100	12

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Outputs

(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

(*.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))

Symmetry

(abs cosTheta_i)

(negabs u2)

Compiler

Compiled 13 to 14 computations (-7.7% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
	57.6%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Compiler

Compiled 26 to 28 computations (-7.7% saved)

simplify22.0ms (0.4%)

Memory

0.2MiB live, 18.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	13
1	24	13
2	29	13
3	32	13
4	33	13

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Outputs

(*.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

(*.f32 (sin.f32 (*.f32 u2 (*.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))))

soundness0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Stop Event

1×

fuel

Compiler

Compiled 13 to 14 computations (-7.7% saved)

preprocess12.0ms (0.2%)

Memory

-2.5MiB live, 5.3MiB allocated

Remove

(negabs u2)

(abs cosTheta_i)

Compiler

Compiled 156 to 168 computations (-7.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Beckmann Sample, near normal, slope_y

start0.0ms (0%)

analyze225.0ms (4%)

sample40.0ms (0.7%)

explain5.3s (93.8%)

preprocess49.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify22.0ms (0.4%)

soundness0.0ms (0%)

preprocess12.0ms (0.2%)

end0.0ms (0%)

Profiling