Metrics for Numeric.AD.Rank1.Halley:findZero from ad-4.2.4

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze149.0ms (9.4%)

Memory

7.0MiB live, 62.9MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
0%	0%	99.8%	0.2%	0%	0%	0%	4
25%	25%	74.9%	0.2%	0%	0%	0%	5
25%	25%	74.9%	0.2%	0%	0%	0%	6
31.3%	31.2%	68.6%	0.2%	0%	0%	0%	7
40.6%	40.5%	59.3%	0.2%	0%	0%	0%	8
50%	49.9%	49.9%	0.2%	0%	0%	0%	9
50%	49.9%	49.9%	0.2%	0%	0%	0%	10
54.7%	54.6%	45.2%	0.2%	0%	0%	0%	11
62.5%	62.4%	37.4%	0.2%	0%	0%	0%	12

Compiler

Compiled 19 to 15 computations (21.1% saved)

sample26.0ms (1.6%)

Memory

-5.8MiB live, 9.9MiB allocated

Samples

16.0ms

260×

valid

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 7.0ms (65.9% of total)

ival-sub: 2.0ms (18.8% of total)

ival-div: 1.0ms (9.4% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

Bogosity

explain1.2s (76.3%)

Memory

12.0MiB live, 943.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
63	0	-	-	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`
3	4	(-8.862928924671204e-202 1.0381736203079674e-142 1877.051353183 4.9312618705805425e+134)	-	`(-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))`
0	0	-	-	`(*.f64 y t)`
0	0	-	-	`(.f64 (.f64 y #s(literal 2 binary64)) z)`
0	0	-	-	`t`
0	0	-	-	`(.f64 (.f64 z #s(literal 2 binary64)) z)`
0	0	-	-	`z`
0	0	-	-	`(*.f64 y #s(literal 2 binary64))`
0	0	-	-	`y`
0	0	-	-	`#s(literal 2 binary64)`
0	0	-	-	`(*.f64 z #s(literal 2 binary64))`
0	40	(-6.168910968494385e+99 6.9866001498695e-162 -2.8107478449462002e-306 -1.4006102301414054e-163)	-	`(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))`	cancellation	40	0
`/.f64`	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`	o/o	9	0
↳	`(.f64 (.f64 y #s(literal 2 binary64)) z)`	overflow	30
↳	`(*.f64 y #s(literal 2 binary64))`	overflow	1
↳	`(*.f64 y t)`	overflow	34
↳	`(-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))`	overflow	84
↳	`(.f64 (.f64 z #s(literal 2 binary64)) z)`	overflow	57
`/.f64`	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`	o/n	5	0
↳	`(.f64 (.f64 y #s(literal 2 binary64)) z)`	overflow	30
↳	`(*.f64 y #s(literal 2 binary64))`	overflow	1
`/.f64`	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`	n/o	5	0
↳	`(*.f64 y t)`	overflow	34
↳	`(-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))`	overflow	84
↳	`(.f64 (.f64 z #s(literal 2 binary64)) z)`	overflow	57
`-.f64`	`(-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))`	nan-rescue	3	0
↳	`(.f64 (.f64 z #s(literal 2 binary64)) z)`	overflow	57
↳	`(*.f64 y t)`	overflow	34
`-.f64`	`(-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))`	cancellation	3	0
`/.f64`	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`	u/n	2	0
↳	`(.f64 (.f64 y #s(literal 2 binary64)) z)`	underflow	19
`/.f64`	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`	u/u	1	0
↳	`(.f64 (.f64 y #s(literal 2 binary64)) z)`	underflow	19
↳	`(*.f64 y t)`	underflow	31
↳	`(-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))`	underflow	5
↳	`(.f64 (.f64 z #s(literal 2 binary64)) z)`	underflow	58

Confusion

	Predicted +	Predicted -
+	28	12
-	37	179

Precision

0.4307692307692308

Recall

0.7

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	28	0	12
-	37	0	179

Precision?

0.4307692307692308

Recall?

0.7

Freqs

test

number	freq
0	191
1	62
2	3

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Total Time

7.23291015625

Average Time

0.028253555297851563

Samples

231.0ms

3 072×

valid

Compiler

Compiled 2 568 to 648 computations (74.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 129.0ms

ival-mult: 83.0ms (64.2% of total)

ival-sub: 24.0ms (18.6% of total)

ival-div: 16.0ms (12.4% of total)

ival-true: 2.0ms (1.5% of total)

exact: 2.0ms (1.5% of total)

adjust: 1.0ms (0.8% of total)

ival-assert: 1.0ms (0.8% of total)

preprocess173.0ms (10.9%)

Memory

-10.4MiB live, 10.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	250
1	218	244
2	601	238
3	1943	238
4	4398	238
5	6221	238
6	7521	238
7	7782	238
8	7835	238
9	7870	238
0	13	17
0	21	17
1	38	17
2	80	17
3	195	17
4	391	17
5	687	17
6	1540	17
7	2286	17
8	2461	17
9	2515	17
10	2538	17
11	2540	17
12	2549	17
13	2561	17
14	2580	17
15	2580	17
0	2580	15

Stop Event

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

Calls

Call 1

Inputs
(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))

Outputs

(-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))

(fma.f64 (/.f64 (*.f64 z y) (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))) #s(literal 2 binary64) x)

Compiler

Compiled 17 to 13 computations (23.5% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 4 computations (-∞% saved)

prune1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
	84.9%	(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))

Compiler

Compiled 34 to 26 computations (23.5% saved)

simplify26.0ms (1.6%)

Memory

3.1MiB live, 18.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	17
1	25	17
2	44	17
3	66	17
4	112	17
5	162	17
6	204	17
7	294	17
8	461	17
9	546	17

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 x (/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))

Outputs

(-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))))

(-.f64 x (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) (-.f64 (*.f64 z (*.f64 z #s(literal 2 binary64))) (*.f64 t y))))

soundness0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Stop Event

1×

fuel

Compiler

Compiled 17 to 13 computations (23.5% saved)

preprocess2.0ms (0.1%)

Memory: 1.2MiB live, 1.2MiB allocated
Compiler: Compiled 94 to 76 computations (19.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze149.0ms (9.4%)

sample26.0ms (1.6%)

explain1.2s (76.3%)

preprocess173.0ms (10.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify26.0ms (1.6%)

soundness0.0ms (0%)

preprocess2.0ms (0.1%)

end0.0ms (0%)

Profiling