Metrics for pow(x, 2)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.1MiB live, 0.1MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	50%	50%	0%	0%	0%	0
100%	50%	0%	50%	0%	0%	0%	1

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample684.0ms (53.2%)

Memory

10.5MiB live, 301.5MiB allocated

Samples

331.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 171.0ms

ival-pow2: 96.0ms (56.1% of total)

ival-<=: 45.0ms (26.3% of total)

exact: 14.0ms (8.2% of total)

ival-and: 13.0ms (7.6% of total)

ival-assert: 3.0ms (1.8% of total)

Bogosity

explain50.0ms (3.9%)

Memory

-25.6MiB live, 48.4MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(pow.f64 x #s(literal 2 binary64))`
-	-	`#s(literal 2 binary64)`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

33.0ms

512×

valid

Compiler

Compiled 17 to 13 computations (23.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-pow2: 6.0ms (83.9% of total)

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

exact: 0.0ms (0% of total)

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

preprocess13.0ms (1%)

Memory

26.1MiB live, 26.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	9
1	12	7
2	34	7
3	72	7
4	93	7
5	97	7
0	3	3
0	4	3
1	5	3
0	5	3

Stop Event

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

Calls

Call 1

Inputs
(pow.f64 x #s(literal 2 binary64))

Outputs
(pow.f64 x #s(literal 2 binary64))
(*.f64 x x)

Compiler

Compiled 3 to 3 computations (0% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(pow.f64 x #s(literal 2 binary64))

Compiler

Compiled 3 to 3 computations (0% saved)

simplify3.0ms (0.2%)

Memory

3.7MiB live, 3.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 1 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(pow.f64 x #s(literal 2 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	5
0	4	5
1	5	5
0	5	5

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)

Outputs
(pow.f64 x #s(literal 2 binary64))
(*.f64 x x)
x
#s(literal 2 binary64)

localize12.0ms (1%)

Memory

21.3MiB live, 21.3MiB allocated

Localize:

Found 1 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(pow.f64 x #s(literal 2 binary64))

Samples

8.0ms

256×

valid

Compiler

Compiled 7 to 5 computations (28.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-pow2: 3.0ms (90.5% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0.1%)

Memory

2.4MiB live, 2.4MiB allocated

Counts

1 → 1

Calls

Call 1

Inputs
(pow.f64 x #s(literal 2 binary64))

Outputs
(pow x 2)

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	((pow x 2))
0.0ms	x	@	-inf	((pow x 2))
0.0ms	x	@	0	((pow x 2))

simplify57.0ms (4.4%)

Memory

-39.4MiB live, 4.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3
1	4	3
0	4	3

Stop Event

1×	iter limit
1×	saturated

Counts

1 → 1

Calls

Call 1

Inputs
(pow x 2)

Outputs
(pow x 2)
(*.f64 x x)

rewrite78.0ms (6.1%)

Memory

38.0MiB live, 38.0MiB allocated

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	3	3
0	4	3
1	12	3
2	28	3
3	76	3
4	231	1
5	1515	1
6	1540	1
7	1663	1
8	2893	1
0	8320	1

Stop Event

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

Counts

1 → 2

Calls

Call 1

Inputs
(pow.f64 x #s(literal 2 binary64))

Outputs
x
#s(literal 1 binary64)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0.1%)

Memory

0.6MiB live, 0.6MiB allocated

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	1	2	3
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	2	2	4

Accuracy

100.0%

Counts

4 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	#s(approx (pow x 2) (*.f64 x x))
▶	7.2%	x

Compiler

Compiled 8 to 6 computations (25% saved)

simplify2.0ms (0.2%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (pow x 2) (*.f64 x x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	12
0	6	12
1	7	12
0	7	12

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
x
#s(approx (pow x 2) (*.f64 x x))
(*.f64 x x)
x

Outputs
x
#s(approx (pow x 2) (*.f64 x x))
(*.f64 x x)
x

localize13.0ms (1%)

Memory

5.2MiB live, 5.2MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(*.f64 x x)
accuracy	0.0	#s(approx (pow x 2) (*.f64 x x))

Samples

10.0ms

256×

valid

Compiler

Compiled 10 to 5 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-pow2: 3.0ms (66% of total)

ival-mult: 1.0ms (22% of total)

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

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

series1.0ms (0.1%)

Memory

0.6MiB live, 0.6MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (pow x 2) (*.f64 x x))
(*.f64 x x)

Outputs
(pow x 2)

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	((pow x 2) (* x x))
0.0ms	x	@	-inf	((pow x 2) (* x x))
0.0ms	x	@	0	((pow x 2) (* x x))

simplify2.0ms (0.1%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3
1	4	3
0	4	3

Stop Event

1×	iter limit
1×	saturated

Counts

1 → 1

Calls

Call 1

Inputs
(pow x 2)

Outputs
(pow x 2)
(*.f64 x x)

rewrite66.0ms (5.1%)

Memory

16.5MiB live, 16.5MiB allocated

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	5	10
0	6	10
1	14	10
2	30	10
3	78	10
4	233	4
5	1517	4
6	1542	4
7	1665	4
8	2894	4
0	8315	4

Stop Event

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

Counts

2 → 3

Calls

Call 1

Inputs
#s(approx (pow x 2) (*.f64 x x))
(*.f64 x x)

Outputs
#s(approx (pow x 2) x)
x
#s(literal 1 binary64)

eval1.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 22 to 8 computations (63.6% saved)

prune1.0ms (0.1%)

Memory

1.1MiB live, 1.1MiB allocated

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	4	0	4
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	4	2	6

Accuracy

100.0%

Counts

6 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	#s(approx (pow x 2) (*.f64 x x))
✓	7.2%	x

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes3.0ms (0.2%)

Memory

3.1MiB live, 3.1MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs
x
#s(approx (pow x 2) (*.f64 x x))
(pow.f64 x #s(literal 2 binary64))

Outputs
#s(approx (pow x 2) (*.f64 x x))

Calls

2 calls:

1.0ms	x
1.0ms	(pow.f64 x #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(pow.f64 x #s(literal 2 binary64))`

Compiler

Compiled 4 to 4 computations (0% saved)

regimes2.0ms (0.2%)

Memory

2.8MiB live, 2.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

2 calls:

1.0ms	x
1.0ms	(pow.f64 x #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
7.2%	1	`x`
7.2%	1	`(pow.f64 x #s(literal 2 binary64))`

Compiler

Compiled 4 to 4 computations (0% saved)

simplify9.0ms (0.7%)

Memory

5.1MiB live, 5.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	6	8

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (pow x 2) (*.f64 x x))
x

Outputs
#s(approx (pow x 2) (*.f64 x x))
x

soundness238.0ms (18.5%)

Memory

1.9MiB live, 1.9MiB allocated

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	3	3
1	4	3
0	4	3
0	3	3
0	4	3
1	12	3
2	28	3
3	76	3
4	231	1
5	1515	1
6	1540	1
7	1663	1
8	2893	1
0	8320	1

Stop Event

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

preprocess46.0ms (3.6%)

Memory: -68.3MiB live, 10.1MiB allocated
Compiler: Compiled 22 to 16 computations (27.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample684.0ms (53.2%)

explain50.0ms (3.9%)

preprocess13.0ms (1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.2%)

localize12.0ms (1%)

series1.0ms (0.1%)

simplify57.0ms (4.4%)

rewrite78.0ms (6.1%)

eval0.0ms (0%)

prune1.0ms (0.1%)

simplify2.0ms (0.2%)

localize13.0ms (1%)

series1.0ms (0.1%)

simplify2.0ms (0.1%)

rewrite66.0ms (5.1%)

eval1.0ms (0%)

prune1.0ms (0.1%)

regimes3.0ms (0.2%)

regimes2.0ms (0.2%)

simplify9.0ms (0.7%)

soundness238.0ms (18.5%)

preprocess46.0ms (3.6%)

end0.0ms (0%)

Profiling