Metrics for jeff quadratic root 1

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze133.0ms (1.1%)

Memory

4.0MiB live, 51.4MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
12.5%	12.5%	87.4%	0.1%	0%	0%	0%	4
25%	25%	74.9%	0.1%	0%	0%	0%	5
34.4%	34.3%	65.5%	0.1%	0%	0%	0%	6
40%	37.4%	56.2%	0.1%	0%	6.2%	0%	7
47.5%	44.5%	49.1%	0.1%	0%	6.2%	0%	8
54.7%	49.9%	41.3%	0.1%	0%	8.6%	0%	9
61%	52.9%	33.7%	0.1%	0%	13.3%	0%	10
67.4%	57.8%	28%	0.1%	0%	14%	0%	11
72.5%	60.5%	23%	0.1%	0%	16.4%	0%	12

Compiler

Compiled 40 to 22 computations (45% saved)

sample38.0ms (0.3%)

Memory

-9.8MiB live, 15.0MiB allocated

Samples

24.0ms	260×	0	valid
3.0ms	35×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 7.0ms (34.1% of total)

ival-div: 3.0ms (14.6% of total)

ival-if: 2.0ms (9.7% of total)

ival-sub: 2.0ms (9.7% of total)

ival-sqrt: 2.0ms (9.7% of total)

ival-add: 1.0ms (4.9% of total)

ival->=: 1.0ms (4.9% of total)

ival-neg: 1.0ms (4.9% of total)

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

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

exact: 0.0ms (0% of total)

Bogosity

explain11.3s (95.9%)

Memory

89.2MiB live, 6 400.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
107	-	1	(-3.1849161621111733e-137 4.5341792428802963e-156 3.492148122227496e-211)	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c)))`
71	-	0	-	`(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))`
63	-	1	(-4.206352228916904e-307 33.20547572594665 -3.5542739701969566e+307)	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))`
18	-	2	(-2.9265336597621603e-260 -3.5992885642867813e+286 -5.359101291573533e+230)	`(/.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))`
13	-	2	(-1.2833965906387123e+143 1.014882801765559e+291 1.3400276743842399e-170)	`(/.f64 (.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))))`
4	-	0	-	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))`
1	-	0	-	`(.f64 (.f64 #s(literal 4 binary64) a) c)`
0	-	0	-	`a`
0	-	0	-	`(*.f64 #s(literal 2 binary64) c)`
0	-	0	-	`(*.f64 b b)`
0	-	0	-	`(*.f64 #s(literal 2 binary64) a)`
0	-	0	-	`c`
0	-	0	-	`(*.f64 #s(literal 4 binary64) a)`
0	-	0	-	`(neg.f64 b)`
0	-	0	-	`(>=.f64 b #s(literal 0 binary64))`
0	-	0	-	`#s(literal 4 binary64)`
0	-	0	-	`(if (>=.f64 b #s(literal 0 binary64)) (/.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 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))))))`
0	-	0	-	`#s(literal 0 binary64)`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`b`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c)))`	oflow-rescue	101	0
↳	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))`	overflow	101
↳	`(*.f64 #s(literal 4 binary64) a)`	overflow	1
↳	`(.f64 (.f64 #s(literal 4 binary64) a) c)`	overflow	23
↳	`(*.f64 b b)`	overflow	88
`-.f64`	`(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))`	cancellation	71	0
`+.f64`	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))`	cancellation	62	1
`/.f64`	`(/.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))`	u/n	16	0
↳	`(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))`	underflow	24
↳	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))`	underflow	5
↳	`(.f64 (.f64 #s(literal 4 binary64) a) c)`	underflow	30
↳	`(*.f64 b b)`	underflow	29
`/.f64`	`(/.f64 (.f64 #s(literal 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c)))))`	n/u	11	0
↳	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))`	underflow	5
↳	`(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))))`	underflow	26
↳	`(.f64 (.f64 #s(literal 4 binary64) a) c)`	underflow	30
↳	`(*.f64 b b)`	underflow	29
`sqrt.f64`	`(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c)))`	uflow-rescue	5	0
↳	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))`	underflow	5
↳	`(.f64 (.f64 #s(literal 4 binary64) a) c)`	underflow	30
↳	`(*.f64 b b)`	underflow	29
`-.f64`	`(-.f64 (.f64 b b) (.f64 (*.f64 #s(literal 4 binary64) a) c))`	nan-rescue	4	0
↳	`(*.f64 b b)`	overflow	88
↳	`(.f64 (.f64 #s(literal 4 binary64) a) c)`	overflow	23
↳	`(*.f64 #s(literal 4 binary64) a)`	overflow	1
`*.f64`	`(.f64 (.f64 #s(literal 4 binary64) a) c)`	*no**	1	0

Confusion

	Predicted +	Predicted -
+	81	0
-	109	66

Precision

0.4263157894736842

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	81	0	0
-	109	1	65

Precision?

0.42408376963350786

Recall?

1.0

Freqs

test

number	freq
0	66
1	114
2	71
3	5

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Total Time

54.958251953125

Average Time

0.21468067169189453

Samples

2.3s	7 920×	2	valid
1.4s	7 110×	1	valid
793.0ms	7 020×	0	valid
366.0ms	990×	3	valid

Compiler

Compiled 21 465 to 3 780 computations (82.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.2s

adjust: 604.0ms (18.6% of total)

ival-mult: 600.0ms (18.5% of total)

ival-div: 551.0ms (17% of total)

ival-sub: 469.0ms (14.4% of total)

ival-sqrt: 388.0ms (12% of total)

ival-add: 214.0ms (6.6% of total)

ival-if: 197.0ms (6.1% of total)

ival-neg: 93.0ms (2.9% of total)

ival->=: 65.0ms (2% of total)

exact: 33.0ms (1% of total)

ival-true: 21.0ms (0.6% of total)

ival-assert: 10.0ms (0.3% of total)

preprocess291.0ms (2.5%)

Memory

3.9MiB live, 11.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	355
1	222	336
2	682	336
3	1829	329
4	4477	329
5	6177	329
6	6905	329
7	7179	329
8	7230	329
9	7252	329
10	7392	329
11	7683	329
12	7721	329
13	7721	329
0	20	38
0	33	38
1	57	37
2	128	37
3	279	36
4	472	36
5	847	36
6	1706	36
7	2263	36
8	2636	36
9	2889	36
10	2914	36
11	2923	36
12	2970	36
13	3126	36
14	3162	36
15	3205	36
16	3209	36
17	3209	36
0	3209	34

Stop Event

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

Calls

Call 1

Inputs
(if (>=.f64 b #s(literal 0 binary64)) (/.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 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))))))

Inputs

(if (>=.f64 b #s(literal 0 binary64)) (/.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 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))))

Outputs
(if (>=.f64 b #s(literal 0 binary64)) (/.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 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))))))
(if (>=.f64 b #s(literal 0 binary64)) (.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) b)) (/.f64 (.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 (.f64 #s(literal -4 binary64) c) a (.f64 b b))) b)))

Outputs

(if (>=.f64 b #s(literal 0 binary64)) (/.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 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))))

(if (>=.f64 b #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b)))

Compiler

Compiled 38 to 20 computations (47.4% saved)

eval0.0ms (0%)

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

prune6.0ms (0.1%)

Memory

-10.1MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
	70.2%	(if (>=.f64 b #s(literal 0 binary64)) (/.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 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))))))

Status

Accuracy

Program

70.2%

(if (>=.f64 b #s(literal 0 binary64)) (/.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 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))))

Compiler

Compiled 76 to 40 computations (47.4% saved)

simplify21.0ms (0.2%)

Memory

2.3MiB live, 18.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	38
1	35	37
2	59	37
3	79	37
4	94	37
5	107	37
6	112	37
7	115	37
8	116	37

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (>=.f64 b #s(literal 0 binary64)) (/.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 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))))))

Inputs

(if (>=.f64 b #s(literal 0 binary64)) (/.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 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))))

Outputs
(if (>=.f64 b #s(literal 0 binary64)) (/.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 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 #s(literal 4 binary64) a) c))))))
(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 a #s(literal 4 binary64))))) b) (.f64 (neg.f64 a) #s(literal 2 binary64))) (/.f64 (.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 a #s(literal 4 binary64))))) b)))

Outputs

(if (>=.f64 b #s(literal 0 binary64)) (/.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 2 binary64) c) (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))))))

(if (>=.f64 b #s(literal 0 binary64)) (/.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal 4 binary64))))) b) (*.f64 (neg.f64 a) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) c) (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 c (*.f64 a #s(literal 4 binary64))))) b)))

soundness0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Stop Event

1×

fuel

Compiler

Compiled 37 to 20 computations (45.9% saved)

preprocess1.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 150 to 80 computations (46.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze133.0ms (1.1%)

sample38.0ms (0.3%)

explain11.3s (95.9%)

preprocess291.0ms (2.5%)

eval0.0ms (0%)

prune6.0ms (0.1%)

simplify21.0ms (0.2%)

soundness0.0ms (0%)

preprocess1.0ms (0%)

end0.0ms (0%)

Profiling