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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze151.0ms (2.5%)

Memory

-5.4MiB live, 61.9MiB 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)

sample25.0ms (0.4%)

Memory

2.1MiB live, 9.5MiB allocated

Samples

17.0ms

260×

valid

Precisions

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

ival-mult: 7.0ms (63.2% of total)

ival-sub: 2.0ms (18% of total)

ival-div: 1.0ms (9% of total)

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

exact: 0.0ms (0% of total)

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

Bogosity

explain5.7s (94%)

Memory

-68.4MiB live, 3 500.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
87	-	1	(1.2180238710219032e-67 3.7255850878828905e-194 5.876614366132508e-131 2.2041099261095906e+95)	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`
2	-	0	-	`(-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))`
1	-	0	-	`(.f64 (.f64 y #s(literal 2 binary64)) z)`
0	-	0	-	`(*.f64 y t)`
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	-	0	-	`(-.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 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`	o/o	17	0
↳	`(.f64 (.f64 y #s(literal 2 binary64)) z)`	overflow	35
↳	`(*.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	85
↳	`(.f64 (.f64 z #s(literal 2 binary64)) z)`	overflow	59
`/.f64`	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`	o/n	6	0
↳	`(.f64 (.f64 y #s(literal 2 binary64)) z)`	overflow	35
↳	`(*.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)))`	u/u	5	0
↳	`(.f64 (.f64 y #s(literal 2 binary64)) z)`	underflow	33
↳	`(*.f64 y t)`	underflow	34
↳	`(-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))`	underflow	11
↳	`(.f64 (.f64 z #s(literal 2 binary64)) z)`	underflow	69
`/.f64`	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`	u/n	3	0
↳	`(.f64 (.f64 y #s(literal 2 binary64)) z)`	underflow	33
`/.f64`	`(/.f64 (.f64 (.f64 y #s(literal 2 binary64)) z) (-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))`	n/o	3	0
↳	`(*.f64 y t)`	overflow	34
↳	`(-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))`	overflow	85
↳	`(.f64 (.f64 z #s(literal 2 binary64)) z)`	overflow	59
`-.f64`	`(-.f64 (.f64 (.f64 z #s(literal 2 binary64)) z) (*.f64 y t))`	nan-rescue	2	0
↳	`(.f64 (.f64 z #s(literal 2 binary64)) z)`	overflow	59
↳	`(*.f64 y t)`	overflow	34
`*.f64`	`(.f64 (.f64 y #s(literal 2 binary64)) z)`	*no**	1	0

Confusion

	Predicted +	Predicted -
+	35	17
-	1	203

Precision

0.9722222222222222

Recall

0.6730769230769231

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	35	0	17
-	1	0	203

Precision?

0.9722222222222222

Recall?

0.6730769230769231

Freqs

test

number	freq
0	220
1	35
2	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Total Time

22.23681640625

Average Time

0.08686256408691406

Samples

1.8s

23 040×

valid

Compiler

Compiled 9 720 to 2 520 computations (74.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0s

ival-mult: 659.0ms (64% of total)

ival-sub: 190.0ms (18.5% of total)

ival-div: 137.0ms (13.3% of total)

ival-true: 20.0ms (1.9% of total)

exact: 15.0ms (1.5% of total)

ival-assert: 9.0ms (0.9% of total)

preprocess164.0ms (2.7%)

Memory

3.0MiB 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
	79.7%	(-.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)

simplify28.0ms (0.5%)

Memory

1.4MiB live, 19.0MiB 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)

preprocess1.0ms (0%)

Memory: 1.1MiB live, 1.1MiB allocated
Compiler: Compiled 94 to 76 computations (19.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze151.0ms (2.5%)

sample25.0ms (0.4%)

explain5.7s (94%)

preprocess164.0ms (2.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify28.0ms (0.5%)

soundness0.0ms (0%)

preprocess1.0ms (0%)

end0.0ms (0%)

Profiling