Metrics for tanhf (example 3.4)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze87.0ms (7.7%)

Memory

5.5MiB live, 29.9MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
25%	25%	75%	0%	0%	0%	0%	3
37.5%	37.5%	62.5%	0%	0%	0%	0%	4
43.8%	43.7%	56.2%	0%	0%	0%	0%	5
46.9%	46.9%	53.1%	0%	0%	0%	0%	6
48.4%	48.4%	51.5%	0%	0%	0%	0%	7
49.2%	49.2%	50.8%	0%	0%	0%	0%	8
49.6%	49.6%	50.4%	0%	0%	0%	0%	9
49.8%	49.8%	50.2%	0%	0%	0%	0%	10
49.9%	49.9%	50.1%	0%	0%	0%	0%	11
50%	49.9%	50%	0%	0%	0%	0%	12

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample47.0ms (4.1%)

Memory

0.9MiB live, 9.6MiB allocated

Samples

18.0ms	72×	2	valid
12.0ms	137×	0	valid
6.0ms	18×	3	valid
3.0ms	33×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-cos: 20.0ms (59% of total)

ival-sin: 5.0ms (14.8% of total)

adjust: 3.0ms (8.9% of total)

ival-div: 3.0ms (8.9% of total)

ival-sub: 2.0ms (5.9% of total)

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

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

exact: 0.0ms (0% of total)

Bogosity

explain919.0ms (81.3%)

Memory

0.8MiB live, 450.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
75	60	(-2.037406531910609e-229)	4	(-1.5648620004712086e+124)	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`
60	0	-	60	(1.1190276336948132e-254)	`(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))`
0	0	-	0	-	`#s(literal 1 binary64)`
0	0	-	0	-	`(cos.f64 x)`
0	0	-	0	-	`(sin.f64 x)`
0	0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 #s(literal 1 binary64) (cos.f64 x))`	cancellation	131	5

Confusion

	Predicted +	Predicted -
+	129	3
-	2	122

Precision

0.9847328244274809

Recall

0.9772727272727273

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	129	1	2
-	2	4	118

Precision?

0.9558823529411765

Recall?

0.9848484848484849

2:

4:

8:

16:

32:

64:

128:

256:

512:

1024:

2048:

Freqs

test

number	freq
0	125
1	131

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Total Time

5.472412109375

Average Time

0.021376609802246094

Samples

226.0ms	840×	2	valid
156.0ms	1 608×	0	valid
72.0ms	216×	3	valid
42.0ms	408×	1	valid

Compiler

Compiled 720 to 312 computations (56.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 403.0ms

ival-cos: 242.0ms (60% of total)

ival-sin: 56.0ms (13.9% of total)

adjust: 38.0ms (9.4% of total)

ival-div: 34.0ms (8.4% of total)

ival-sub: 28.0ms (6.9% of total)

ival-true: 2.0ms (0.5% of total)

exact: 2.0ms (0.5% of total)

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

preprocess46.0ms (4.1%)

Memory

-0.7MiB live, 7.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	30	11
2	73	8
3	180	8
4	443	8
5	681	8
6	706	8
0	6	7
0	10	4
1	20	4
2	26	4
3	37	4
4	58	4
5	81	4
6	114	4
7	188	4
8	310	4
9	519	4
10	561	4
11	564	4
12	572	4
13	578	4
14	582	4
15	589	4
16	596	4
17	597	4
0	597	4

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))

Outputs
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
(tan.f64 (/.f64 x #s(literal 2 binary64)))

Symmetry

(negabs x)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0.1%)

Memory

0.4MiB live, 0.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.7%	(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))

Compiler

Compiled 14 to 12 computations (14.3% saved)

simplify26.0ms (2.3%)

Memory

-4.5MiB live, 17.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	11	7
2	15	7
3	17	7
4	18	7

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))

Outputs
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.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)

preprocess5.0ms (0.4%)

Memory: 2.4MiB live, 2.4MiB allocated
Remove: (negabs x)
Compiler: Compiled 64 to 56 computations (12.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	8	11
1	30	11
2	73	8
3	180	8
4	443	8
5	681	8
6	706	8
0	6	7
0	10	4
1	20	4
2	26	4
3	37	4
4	58	4
5	81	4
6	114	4
7	188	4
8	310	4
9	519	4
10	561	4
11	564	4
12	572	4
13	578	4
14	582	4
15	589	4
16	596	4
17	597	4
0	597	4

Iter	Nodes	Cost
0	8	11
1	30	11
2	73	8
3	180	8
4	443	8
5	681	8
6	706	8
0	6	7
0	10	4
1	20	4
2	26	4
3	37	4
4	58	4
5	81	4
6	114	4
7	188	4
8	310	4
9	519	4
10	561	4
11	564	4
12	572	4
13	578	4
14	582	4
15	589	4
16	596	4
17	597	4
0	597	4

start0.0ms (0%)

analyze87.0ms (7.7%)

sample47.0ms (4.1%)

explain919.0ms (81.3%)

preprocess46.0ms (4.1%)

eval0.0ms (0%)

prune1.0ms (0.1%)

simplify26.0ms (2.3%)

soundness0.0ms (0%)

preprocess5.0ms (0.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	11
1	30	11
2	73	8
3	180	8
4	443	8
5	681	8
6	706	8
0	6	7
0	10	4
1	20	4
2	26	4
3	37	4
4	58	4
5	81	4
6	114	4
7	188	4
8	310	4
9	519	4
10	561	4
11	564	4
12	572	4
13	578	4
14	582	4
15	589	4
16	596	4
17	597	4
0	597	4