Metrics for 2cos (problem 3.3.5)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze36.0ms (2.3%)

Memory

3.2MiB live, 12.2MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	50.6%	49.4%	0%	0%	0%	0
0%	0%	50.6%	49.4%	0%	0%	0%	1
0%	0%	50.6%	49.4%	0%	0%	0%	2
0%	0%	25.3%	49.4%	0%	25.3%	0%	3
0%	0%	25.3%	49.4%	0%	25.3%	0%	4
0%	0%	19%	49.4%	0%	31.6%	0%	5
0%	0%	15.8%	49.4%	0%	34.8%	0%	6
0%	0%	11.1%	49.4%	0%	39.5%	0%	7
0%	0%	8.7%	49.4%	0%	41.9%	0%	8
0%	0%	5.9%	49.4%	0%	44.6%	0%	9
0%	0%	4.5%	49.4%	0%	46%	0%	10
0%	0%	3.1%	49.4%	0%	47.5%	0%	11
0%	0%	2.7%	49.4%	0%	47.9%	0%	12

Compiler

Compiled 27 to 19 computations (29.6% saved)

sample186.0ms (12%)

Memory

0.8MiB live, 53.5MiB allocated

Samples

70.0ms	812×	0	invalid
65.0ms	177×	2	valid
12.0ms	78×	1	valid
1.0ms	5×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 118.0ms

ival-cos: 54.0ms (45.9% of total)

const: 15.0ms (12.7% of total)

adjust: 11.0ms (9.3% of total)

ival-sub: 6.0ms (5.1% of total)

ival-fabs: 6.0ms (5.1% of total)

ival-mult: 6.0ms (5.1% of total)

ival-<=: 6.0ms (5.1% of total)

ival-add: 5.0ms (4.2% of total)

ival-<: 4.0ms (3.4% of total)

ival-and: 3.0ms (2.5% of total)

exact: 1.0ms (0.8% of total)

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

Bogosity

explain1.3s (82.5%)

Memory

6.6MiB live, 484.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
140	115	(-3.8197983519865927e-265 3.9630990627288776e-279)	6	(-2.184336584322709e-152 1.4874603075479142e-158)	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`
2	0	-	0	-	`(cos.f64 (+.f64 x eps))`
0	0	-	0	-	`eps`
0	0	-	0	-	`(+.f64 x eps)`
0	0	-	0	-	`(cos.f64 x)`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))`	cancellation	249	0
`cos.f64`	`(cos.f64 (+.f64 x eps))`	sensitivity	2	0

Confusion

	Predicted +	Predicted -
+	134	6
-	115	1

Precision

0.5381526104417671

Recall

0.9571428571428572

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	134	0	6
-	115	0	1

Precision?

0.5381526104417671

Recall?

0.9571428571428572

2:

4:

8:

16:

32:

64:

128:

256:

512:

1024:

2048:

Freqs

test

number	freq
0	7
1	247
2	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Total Time

6.086669921875

Average Time

0.02377605438232422

Samples

673.0ms	2 088×	2	valid
106.0ms	924×	1	valid
5.0ms	60×	0	valid

Compiler

Compiled 756 to 312 computations (58.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 658.0ms

ival-cos: 499.0ms (75.9% of total)

adjust: 103.0ms (15.7% of total)

ival-sub: 35.0ms (5.3% of total)

ival-add: 18.0ms (2.7% of total)

ival-true: 2.0ms (0.3% of total)

ival-assert: 1.0ms (0.2% of total)

preprocess23.0ms (1.5%)

Memory

-1.5MiB live, 6.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	41
1	38	37
2	81	35
3	152	35
4	278	35
5	370	35
6	448	35
7	485	35
8	531	35
9	546	35
10	554	35
0	6	7
0	10	7
1	13	7
2	18	7
3	24	7
4	32	7
5	47	7
6	80	7
7	107	7
8	151	7
9	166	7
10	174	7
0	174	7

Stop Event

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

Calls

Call 1

Inputs
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Outputs
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.8%	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Compiler

Compiled 14 to 12 computations (14.3% saved)

simplify24.0ms (1.6%)

Memory

2.2MiB live, 18.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	9	7
2	14	7
3	16	7
4	17	7

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

Outputs
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))

soundness0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Stop Event

1×

fuel

Compiler

Compiled 7 to 6 computations (14.3% saved)

preprocess2.0ms (0.1%)

Memory: 1.4MiB live, 1.4MiB allocated
Compiler: Compiled 62 to 54 computations (12.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	18	41
1	38	37
2	81	35
3	152	35
4	278	35
5	370	35
6	448	35
7	485	35
8	531	35
9	546	35
10	554	35
0	6	7
0	10	7
1	13	7
2	18	7
3	24	7
4	32	7
5	47	7
6	80	7
7	107	7
8	151	7
9	166	7
10	174	7
0	174	7

Iter	Nodes	Cost
0	18	41
1	38	37
2	81	35
3	152	35
4	278	35
5	370	35
6	448	35
7	485	35
8	531	35
9	546	35
10	554	35
0	6	7
0	10	7
1	13	7
2	18	7
3	24	7
4	32	7
5	47	7
6	80	7
7	107	7
8	151	7
9	166	7
10	174	7
0	174	7

start0.0ms (0%)

analyze36.0ms (2.3%)

sample186.0ms (12%)

explain1.3s (82.5%)

preprocess23.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify24.0ms (1.6%)

soundness0.0ms (0%)

preprocess2.0ms (0.1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	18	41
1	38	37
2	81	35
3	152	35
4	278	35
5	370	35
6	448	35
7	485	35
8	531	35
9	546	35
10	554	35
0	6	7
0	10	7
1	13	7
2	18	7
3	24	7
4	32	7
5	47	7
6	80	7
7	107	7
8	151	7
9	166	7
10	174	7
0	174	7