Metrics for 2tan (problem 3.3.2)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze34.0ms (3.9%)

Memory

3.1MiB live, 12.1MiB 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)

sample131.0ms (14.9%)

Memory

5.9MiB live, 50.7MiB allocated

Samples

70.0ms	850×	0	invalid
14.0ms	173×	0	valid
11.0ms	87×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

ival-tan: 15.0ms (22% of total)

const: 15.0ms (22% of total)

ival-mult: 7.0ms (10.3% of total)

ival-fabs: 6.0ms (8.8% of total)

ival-<=: 6.0ms (8.8% of total)

ival-add: 5.0ms (7.3% of total)

ival-sub: 5.0ms (7.3% of total)

ival-<: 4.0ms (5.9% of total)

ival-and: 3.0ms (4.4% of total)

adjust: 2.0ms (2.9% of total)

exact: 1.0ms (1.5% of total)

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

Bogosity

explain668.0ms (76.1%)

Memory

-5.0MiB live, 441.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
219	1	(3.0523888042570846e-155 9.009104749695268e-158)	6	(1.0075099568470957e-150 1.0193667883179096e-152)	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`
3	0	-	1	(-110.87179356445242 0.006139579125010284)	`(tan.f64 (+.f64 x eps))`
0	0	-	0	-	`eps`
0	0	-	0	-	`(+.f64 x eps)`
0	0	-	0	-	`(tan.f64 x)`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))`	cancellation	214	16
`tan.f64`	`(tan.f64 (+.f64 x eps))`	sensitivity	2	1

Confusion

	Predicted +	Predicted -
+	213	6
-	1	36

Precision

0.9953271028037384

Recall

0.9726027397260274

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	213	5	1
-	1	11	25

Precision?

0.9478260869565217

Recall?

0.9954337899543378

2:

4:

8:

16:

32:

64:

128:

256:

512:

1024:

2048:

Freqs

test

number	freq
0	42
1	212
2	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Total Time

6.485107421875

Average Time

0.02533245086669922

Samples

92.0ms	1 032×	1	valid
84.0ms	2 016×	0	valid
4.0ms	12×	3	valid
2.0ms	12×	2	valid

Compiler

Compiled 756 to 312 computations (58.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 107.0ms

ival-tan: 50.0ms (46.6% of total)

adjust: 22.0ms (20.5% of total)

ival-add: 17.0ms (15.8% of total)

ival-sub: 15.0ms (14% of total)

ival-true: 2.0ms (1.9% of total)

ival-assert: 1.0ms (0.9% of total)

preprocess19.0ms (2.2%)

Memory

5.9MiB live, 5.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	39
1	38	35
2	86	35
3	169	35
4	310	35
5	367	35
6	445	35
7	482	35
8	491	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 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Outputs
(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))
(-.f64 (tan.f64 (+.f64 eps x)) (tan.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 (0.1%)

Memory

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.4%	(-.f64 (tan.f64 (+.f64 x eps)) (tan.f64 x))

Compiler

Compiled 14 to 12 computations (14.3% saved)

simplify23.0ms (2.7%)

Memory

-10.4MiB 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 (tan.f64 (+.f64 x eps)) (tan.f64 x))

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

preprocess1.0ms (0.1%)

Memory: 0.9MiB live, 0.9MiB allocated
Compiler: Compiled 46 to 36 computations (21.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	18	39
1	38	35
2	86	35
3	169	35
4	310	35
5	367	35
6	445	35
7	482	35
8	491	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	39
1	38	35
2	86	35
3	169	35
4	310	35
5	367	35
6	445	35
7	482	35
8	491	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%)

analyze34.0ms (3.9%)

sample131.0ms (14.9%)

explain668.0ms (76.1%)

preprocess19.0ms (2.2%)

eval0.0ms (0%)

prune1.0ms (0.1%)

simplify23.0ms (2.7%)

soundness0.0ms (0%)

preprocess1.0ms (0.1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	18	39
1	38	35
2	86	35
3	169	35
4	310	35
5	367	35
6	445	35
7	482	35
8	491	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