Metrics for Beckmann Sample, near normal, slope

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze228.0ms (15.7%)

Memory

2.6MiB live, 67.0MiB 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
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)

sample42.0ms (2.9%)

Memory

-0.4MiB live, 14.1MiB allocated

Samples

31.0ms

260×

valid

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

const: 7.0ms (28.4% of total)

ival-cosu: 4.0ms (16.3% of total)

ival-log: 4.0ms (16.3% of total)

ival-<=: 3.0ms (12.2% of total)

ival-mult: 1.0ms (4.1% 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-neg: 1.0ms (4.1% of total)

adjust: 0.0ms (0% of total)

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

exact: 0.0ms (0% of total)

Bogosity

explain1.1s (76.3%)

Memory

8.3MiB live, 795.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
207	9	(0.9999882578849792 0.0064208488911390305 9.482861059950665e-5)	0	-	`(log.f32 (-.f32 #s(literal 1 binary32) u1))`
2	0	-	2	(0.9999134540557861 9.550622780807316e-5 0.7440638542175293)	`(cos.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)))) (cos.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	216	13

Confusion

	Predicted +	Predicted -
+	200	0
-	16	40

Precision

0.9259259259259259

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	200	0	0
-	16	13	27

Precision?

0.8733624454148472

Recall?

1.0

2:

4:

8:

16:

32:

64:

128:

256:

512:

1024:

2048:

Freqs

test

number	freq
0	40
1	216

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Total Time

7.82470703125

Average Time

0.030565261840820313

Samples

293.0ms

3 072×

valid

Compiler

Compiled 1 980 to 696 computations (64.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 200.0ms

ival-mult: 50.0ms (25% of total)

ival-log: 45.0ms (22.5% of total)

ival-cosu: 42.0ms (21% of total)

ival-sqrt: 18.0ms (9% of total)

ival-sub: 16.0ms (8% of total)

ival-neg: 12.0ms (6% of total)

ival-pi: 10.0ms (5% of total)

exact: 3.0ms (1.5% of total)

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

adjust: 1.0ms (0.5% of total)

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

preprocess44.0ms (3%)

Memory

-0.9MiB live, 6.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	122
1	99	120
2	186	120
3	324	120
4	515	120
5	747	120
6	912	120
7	1252	120
8	1367	120
9	1553	120
10	1562	120
11	1566	120
12	1566	120
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)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Outputs

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

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

Symmetry

(abs u2)

(abs cosTheta_i)

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 (0.1%)

Memory

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.8%	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Compiler

Compiled 26 to 28 computations (-7.7% saved)

simplify25.0ms (1.7%)

Memory

-1.0MiB 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)))) (cos.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u2)))

Outputs

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

(*.f32 (cos.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)

preprocess5.0ms (0.3%)

Memory

-4.9MiB live, 3.0MiB allocated

Remove

(abs cosTheta_i)

(abs u2)

Compiler

Compiled 156 to 168 computations (-7.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Beckmann Sample, near normal, slope_x

start0.0ms (0%)

analyze228.0ms (15.7%)

sample42.0ms (2.9%)

explain1.1s (76.3%)

preprocess44.0ms (3%)

eval0.0ms (0%)

prune1.0ms (0.1%)

simplify25.0ms (1.7%)

soundness0.0ms (0%)

preprocess5.0ms (0.3%)

end0.0ms (0%)

Profiling