Metrics for math.arg on complex

analyze1.0ms (0.1%)

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 6 to 4 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

ival-atan2: 0.0ms (0% of total)

const: 0.0ms (0% of total)

sample1.5s (86.9%)

Results

1.0s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 158.0ms

ival-atan2: 146.0ms (92.3% of total)

const: 8.0ms (5.1% of total)

backward-pass: 4.0ms (2.5% of total)

Bogosity

preprocess38.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

12×	`sub-neg`
8×	`fma-define`
8×	`+-commutative`
4×	`*-commutative`
4×	`associate--r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	115
1	26	115
2	34	115
3	39	115
4	56	115
5	69	115
6	80	115

Stop Event

1×

saturated

Calls

Call 1

Inputs
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im (neg.f64 re))
(atan2.f64 (neg.f64 im) re)
(neg.f64 (atan2.f64 im (neg.f64 re)))
(neg.f64 (atan2.f64 (neg.f64 im) re))
(atan2.f64 re im)

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

explain48.0ms (2.8%)

FPErrors

Click to see full error table

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

Results

37.0ms

512×

256

valid

Compiler

Compiled 21 to 11 computations (47.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-atan2: 10.0ms (92.6% of total)

const: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

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)

localize22.0ms (1.3%)

Results

18.0ms

256×

256

valid

Compiler

Compiled 8 to 4 computations (50% saved)

Precisions

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

ival-atan2: 3.0ms (97.6% of total)

const: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0.1%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	0	0
Total	1	1

Accuracy

100.0%

Counts

1 → 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)

simplify93.0ms (5.5%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13

Stop Event

1×

saturated

Calls

Call 1

Inputs
(atan2.f64 im re)

Outputs
(atan2.f64 im re)

soundness0.0ms (0%)

Stop Event

1×

done

Compiler

Compiled 5 to 3 computations (40% saved)

preprocess19.0ms (1.1%)

Compiler: Compiled 20 to 12 computations (40% saved)

math.arg on complex

analyze1.0ms (0.1%)

sample1.5s (86.9%)

preprocess38.0ms (2.2%)

explain48.0ms (2.8%)

eval0.0ms (0%)

prune1.0ms (0%)

localize22.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0.1%)

simplify93.0ms (5.5%)

soundness0.0ms (0%)

preprocess19.0ms (1.1%)

end0.0ms (0%)

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