Metrics for Quadratic roots, narrow range

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze232.0ms (13.7%)

Memory

0.8MiB live, 88.4MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0%	100%	0%	0%	0%	0
0%	0%	0%	100%	0%	0%	0%	1
0%	0%	0%	100%	0%	0%	0%	2
0%	0%	0%	100%	0%	0%	0%	3
0%	0%	0%	100%	0%	0%	0%	4
0%	0%	0%	100%	0%	0%	0%	5
0%	0%	0%	100%	0%	0%	0%	6
0%	0%	0%	100%	0%	0%	0%	7
2.3%	0%	0%	100%	0%	0%	0%	8
11.3%	0%	0%	100%	0%	0%	0%	9
21.1%	0%	0%	100%	0%	0%	0%	10
28%	0%	0%	100%	0%	0%	0%	11
40.1%	0%	0%	100%	0%	0%	0%	12

Compiler

Compiled 41 to 28 computations (31.7% saved)

sample59.0ms (3.5%)

Memory

7.1MiB live, 22.6MiB allocated

Samples

30.0ms	170×	1	valid
10.0ms	90×	0	valid
5.0ms	47×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

const: 8.0ms (22% of total)

ival-mult: 8.0ms (22% of total)

adjust: 4.0ms (11% of total)

ival-<: 4.0ms (11% of total)

ival-div: 3.0ms (8.2% of total)

ival-sqrt: 3.0ms (8.2% of total)

ival-sub: 2.0ms (5.5% of total)

ival-add: 2.0ms (5.5% of total)

ival-and: 1.0ms (2.7% of total)

ival-neg: 1.0ms (2.7% of total)

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

exact: 0.0ms (0% of total)

Bogosity

explain1.3s (74.1%)

Memory

4.8MiB live, 958.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
224	3	(5.765997235674877e-8 7.141248141819642 2343959.542376912)	-	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))`
0	0	-	-	`a`
0	0	-	-	`#s(literal 4 binary64)`
0	0	-	-	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c)))`
0	0	-	-	`(.f64 (.f64 #s(literal 4 binary64) a) c)`
0	0	-	-	`(*.f64 b b)`
0	0	-	-	`(*.f64 #s(literal 2 binary64) a)`
0	0	-	-	`c`
0	0	-	-	`#s(literal 2 binary64)`
0	0	-	-	`(neg.f64 b)`
0	0	-	-	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))`
0	0	-	-	`(*.f64 #s(literal 4 binary64) a)`
0	0	-	-	`b`
0	0	-	-	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))`	cancellation	227	9

Confusion

	Predicted +	Predicted -
+	224	0
-	3	29

Precision

0.986784140969163

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	224	0	0
-	3	9	20

Precision?

0.9491525423728814

Recall?

1.0

2:

4:

8:

16:

32:

64:

128:

256:

512:

1024:

2048:

Freqs

test

number	freq
0	29
1	227

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Total Time

8.187255859375

Average Time

0.031981468200683594

Samples

312.0ms	2 040×	1	valid
85.0ms	1 032×	0	valid

Compiler

Compiled 2 748 to 696 computations (74.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 255.0ms

ival-mult: 85.0ms (33.3% of total)

adjust: 49.0ms (19.2% of total)

ival-sqrt: 32.0ms (12.5% of total)

ival-div: 30.0ms (11.8% of total)

ival-add: 20.0ms (7.8% of total)

ival-sub: 20.0ms (7.8% of total)

ival-neg: 14.0ms (5.5% of total)

exact: 3.0ms (1.2% of total)

ival-true: 2.0ms (0.8% of total)

ival-assert: 1.0ms (0.4% of total)

preprocess113.0ms (6.7%)

Memory

2.7MiB live, 10.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	158
1	162	144
2	463	144
3	1233	144
4	3210	144
5	6057	144
0	14	17
0	23	17
1	40	16
2	77	16
3	160	16
4	240	16
5	381	16
6	662	16
7	1129	16
8	2243	16
9	2519	16
10	2629	16
11	2684	16
12	2685	16
13	2685	16
14	2691	16
0	2691	15

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))

Outputs

(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))

(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b))

Compiler

Compiled 17 to 14 computations (17.6% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.7%	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))

Compiler

Compiled 34 to 28 computations (17.6% saved)

simplify30.0ms (1.8%)

Memory

-7.5MiB live, 18.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	17
1	27	16
2	46	16
3	57	16
4	65	16
5	68	16

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))) (.f64 #s(literal 2 binary64) a))

Outputs

(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))

(/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal 4 binary64))))) b) (*.f64 #s(literal 2 binary64) a))

soundness0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Stop Event

1×

fuel

Compiler

Compiled 16 to 13 computations (18.8% saved)

preprocess1.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 66 to 54 computations (18.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze232.0ms (13.7%)

sample59.0ms (3.5%)

explain1.3s (74.1%)

preprocess113.0ms (6.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify30.0ms (1.8%)

soundness0.0ms (0%)

preprocess1.0ms (0%)

end0.0ms (0%)

Profiling