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

analyze1.0ms (0.2%)

Memory

2.2MiB live, 2.2MiB 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)

sample458.0ms (69.4%)

Memory

34.6MiB live, 768.9MiB allocated

Samples

315.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 83.0ms

ival-atan2: 75.0ms (90.1% of total)

ival-true: 5.0ms (6% of total)

ival-assert: 3.0ms (3.6% of total)

Bogosity

preprocess13.0ms (2%)

Memory

-12.7MiB live, 25.7MiB allocated

Algorithm

2×	egg-herbie

Rules

24×	`sub-neg`
16×	`+-commutative`
8×	`*-commutative`
8×	`associate--r+`
8×	`--rgt-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	24
1	20	24
2	28	24
3	33	24
4	41	24
5	54	24
6	65	24
0	3	3
0	3	3

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(atan2 im re)

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

Call 2

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

Outputs
(atan2 im re)
(atan2 im (neg re))
(atan2 (neg im) re)
(neg (atan2 im (neg re)))
(neg (atan2 (neg im) re))
(atan2 re im)

explain62.0ms (9.3%)

Memory

10.1MiB live, 61.5MiB 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

48.0ms

512×

valid

Compiler

Compiled 24 to 16 computations (33.3% saved)

Precisions

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

ival-atan2: 4.0ms (81.3% of total)

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

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

eval0.0ms (0%)

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

prune1.0ms (0.1%)

Memory

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 5 to 3 computations (40% saved)

simplify3.0ms (0.4%)

Memory

7.3MiB live, 7.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 1 expressions of interest:

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

Rules

2×	`atan2-lowering-atan2.f32`
2×	`atan2-lowering-atan2.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	5
0	3	5

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(atan2 im re)
im
re

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

localize35.0ms (5.3%)

Memory

-22.8MiB live, 16.1MiB allocated

Localize:

Found 1 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(atan2.f64 im re)

Samples

32.0ms

256×

valid

Compiler

Compiled 7 to 5 computations (28.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-atan2: 26.0ms (98.4% of total)

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

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

series0.0ms (0.1%)

Memory

0.5MiB live, 0.5MiB allocated

Counts

1 → 24

Calls

Call 1

Inputs
#<alt (atan2 im re)>

Outputs
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>

Calls

6 calls:

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

rewrite15.0ms (2.3%)

Memory

27.2MiB live, 27.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

2×	`atan2-lowering-atan2.f32`
2×	`atan2-lowering-atan2.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3
0	3	3

Stop Event

1×	iter limit
1×	saturated

Counts

1 → 1

Calls

Call 1

Inputs
(atan2 im re)

Outputs
(atan2.f64 im re)

simplify18.0ms (2.8%)

Memory

-29.4MiB live, 8.5MiB allocated

Algorithm

1×	egg-herbie

Rules

2×	`atan2-lowering-atan2.f32`
2×	`atan2-lowering-atan2.f64`

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

eval2.0ms (0.3%)

Memory: 4.9MiB live, 4.9MiB allocated
Compiler: Compiled 77 to 3 computations (96.1% saved)

prune1.0ms (0.1%)

Memory

2.1MiB live, 2.1MiB 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 10 to 6 computations (40% saved)

simplify6.0ms (1%)

Memory

11.9MiB live, 11.9MiB 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

0.9MiB live, 0.9MiB allocated

Stop Event

1×

done

Compiler

Compiled 5 to 3 computations (40% saved)

preprocess43.0ms (6.5%)

Memory: 5.1MiB live, 42.8MiB allocated
Compiler: Compiled 20 to 12 computations (40% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze1.0ms (0.2%)

sample458.0ms (69.4%)

preprocess13.0ms (2%)

explain62.0ms (9.3%)

eval0.0ms (0%)

prune1.0ms (0.1%)

simplify3.0ms (0.4%)

localize35.0ms (5.3%)

series0.0ms (0.1%)

rewrite15.0ms (2.3%)

simplify18.0ms (2.8%)

eval2.0ms (0.3%)

prune1.0ms (0.1%)

simplify6.0ms (1%)

soundness0.0ms (0%)

preprocess43.0ms (6.5%)

end0.0ms (0%)

Profiling