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

Operation ival-atan2, time spent: 0.0ms, 0.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

sample852.0ms (79.7%)

Results

556.0ms	8255×	256	valid
0.0ms	1×	256	valid

Precisions

Click to see histograms. Total time spent on operations: 105.0ms

Operation ival-atan2, time spent: 97.0ms, 93.0% of total-time

Operation const, time spent: 8.0ms, 8.0% of total-time

Bogosity

preprocess94.0ms (8.8%)

Algorithm

1×	egg-herbie

Rules

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

FPErrors

Click to see full error table

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

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)

Results

35.0ms	511×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 21 to 11 computations (47.6% saved)

Precisions

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

Operation ival-atan2, time spent: 7.0ms, 94.0% of total-time

Operation const, time spent: 1.0ms, 13.0% of total-time

eval0.0ms (0%)

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

prune1.0ms (0.1%)

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)

localize21.0ms (2%)

Results

16.0ms	255×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 8 to 4 computations (50% saved)

Precisions

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

Operation ival-atan2, time spent: 3.0ms, 92.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

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)

simplify78.0ms (7.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(atan2.f64 im re)

Outputs
(atan2.f64 im re)

Compiler

Compiled 5 to 3 computations (40% saved)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess20.0ms (1.9%)

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

analyze1.0ms (0.1%)

sample852.0ms (79.7%)

preprocess94.0ms (8.8%)

eval0.0ms (0%)

prune1.0ms (0.1%)

localize21.0ms (2%)

eval0.0ms (0%)

prune1.0ms (0.1%)

simplify78.0ms (7.3%)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess20.0ms (1.9%)

Profiling