Metrics for math.log/1 on complex, imaginary part

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze1.0ms (0.1%)

Memory

1.6MiB live, 1.6MiB 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
50%	50%	50%	0.1%	0%	0%	0%	2
75%	74.9%	25%	0.1%	0%	0%	0%	3
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	4
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	5
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	6
98.4%	98.3%	1.6%	0.1%	0%	0%	0%	7
99.2%	99.1%	0.8%	0.1%	0%	0%	0%	8
99.6%	99.5%	0.4%	0.1%	0%	0%	0%	9
99.8%	99.7%	0.2%	0.1%	0%	0%	0%	10
99.9%	99.8%	0.1%	0.1%	0%	0%	0%	11
100%	99.9%	0%	0.1%	0%	0%	0%	12

Compiler

Compiled 5 to 5 computations (0% saved)

sample847.0ms (73.3%)

Memory

-194.1MiB live, 1 154.0MiB allocated

Samples

630.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 376.0ms

ival-atan2: 365.0ms (97.1% of total)

ival-true: 7.0ms (1.9% of total)

ival-assert: 4.0ms (1.1% of total)

Bogosity

explain34.0ms (3%)

Memory

4.4MiB live, 80.7MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`re`
-	-	`(atan2.f64 im re)`
-	-	`im`

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

20.0ms

512×

valid

Compiler

Compiled 22 to 16 computations (27.3% saved)

Precisions

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

ival-atan2: 4.0ms (77.9% of total)

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

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

preprocess35.0ms (3%)

Memory

-22.6MiB live, 34.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	19	21
2	27	21
3	32	21
4	40	21
5	53	21
6	64	21
0	3	3
0	4	3
0	4	3

Stop Event

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

Calls

Call 1

Inputs
(atan2.f64 im re)

Outputs
(atan2.f64 im re)

Compiler

Compiled 3 to 3 computations (0% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(atan2.f64 im re)

Compiler

Compiled 3 to 3 computations (0% saved)

simplify2.0ms (0.2%)

Memory

5.5MiB live, 5.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 1 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(atan2.f64 im re)

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(atan2.f64 im re)
im
re

Outputs
(atan2.f64 im re)
im
re

localize11.0ms (1%)

Memory

24.1MiB live, 24.1MiB allocated

Localize:

Found 1 expressions of interest:

New	Metric	Score	Program
accuracy	0	(atan2.f64 im re)

Samples

8.0ms

256×

valid

Compiler

Compiled 12 to 8 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-atan2: 2.0ms (80.5% of total)

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

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

series132.0ms (11.4%)

Memory

-35.6MiB live, 2.5MiB allocated

Counts

1 → 24

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (atan2.f64 im re) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 re) (#s(alt #<batchref> (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf re) (#s(alt #<batchref> (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf re) (#s(alt #<batchref> (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf re) (#s(alt #<batchref> (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf re) (#s(alt #<batchref> (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf re) (#s(alt #<batchref> (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 im) (#s(alt #<batchref> (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 im) (#s(alt #<batchref> (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 im) (#s(alt #<batchref> (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 im) (#s(alt #<batchref> (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf im) (#s(alt #<batchref> (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf im) (#s(alt #<batchref> (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf im) (#s(alt #<batchref> (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf im) (#s(alt #<batchref> (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (atan2.f64 im re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf im) (#s(alt #<batchref> (patch (atan2.f64 im re) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
131.0ms	im	@	-inf	((atan2 im re))
0.0ms	re	@	-inf	((atan2 im re))
0.0ms	re	@	0	((atan2 im re))
0.0ms	re	@	inf	((atan2 im re))
0.0ms	im	@	inf	((atan2 im re))

simplify2.0ms (0.2%)

Memory

4.3MiB live, 4.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	72
0	3	72

Stop Event

1×	iter limit
1×	saturated

Counts

24 → 24

Calls

Call 1

Inputs
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)

Outputs
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)

rewrite12.0ms (1%)

Memory

23.1MiB live, 23.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Counts

1 → 1

Calls

Call 1

Inputs
(atan2.f64 im re)

Outputs
#<batchref>

eval2.0ms (0.2%)

Memory: 7.0MiB live, 7.0MiB allocated
Compiler: Compiled 171 to 5 computations (97.1% saved)

prune4.0ms (0.4%)

Memory

-29.0MiB live, 8.5MiB allocated

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	25	0	25
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	25	1	26

Accuracy

100.0%

Counts

26 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(atan2.f64 im re)

Compiler

Compiled 6 to 6 computations (0% saved)

simplify23.0ms (2%)

Memory

25.7MiB live, 64.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3

Stop Event

1×

saturated

Calls

Call 1

Inputs
(atan2.f64 im re)

Outputs
(atan2.f64 im re)

soundness0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Stop Event

1×

done

Compiler

Compiled 3 to 3 computations (0% saved)

preprocess48.0ms (4.1%)

Memory: -28.9MiB live, 50.7MiB allocated
Compiler: Compiled 12 to 12 computations (0% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze1.0ms (0.1%)

sample847.0ms (73.3%)

explain34.0ms (3%)

preprocess35.0ms (3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify2.0ms (0.2%)

localize11.0ms (1%)

series132.0ms (11.4%)

simplify2.0ms (0.2%)

rewrite12.0ms (1%)

eval2.0ms (0.2%)

prune4.0ms (0.4%)

simplify23.0ms (2%)

soundness0.0ms (0%)

preprocess48.0ms (4.1%)

end0.0ms (0%)

Profiling