Metrics for math.abs on complex (squared)

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 10 to 6 computations (40% saved)

sample1.1s (90.3%)

Results

783.0ms	4601×	body	256	valid
320.0ms	3655×	body	256	infinite

Bogosity

preprocess59.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

180×	`fma-def`
52×	`*-commutative`
36×	`+-commutative`
28×	`unsub-neg`
26×	`sub-neg`

Problems

256×

No Errors

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	75
1	33	75
2	72	75
3	158	75
4	255	75
5	290	75
6	298	75

Stop Event

1×

saturated

Calls

Call 1

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

Outputs
(+.f64 (.f64 re re) (.f64 im im))
(fma.f64 re re (*.f64 im im))
(+.f64 (.f64 re re) (.f64 im im))
(fma.f64 re re (*.f64 im im))
(+.f64 (.f64 (neg.f64 re) (neg.f64 re)) (.f64 im im))
(fma.f64 re re (*.f64 im im))
(+.f64 (.f64 re re) (.f64 (neg.f64 im) (neg.f64 im)))
(fma.f64 re re (*.f64 im im))
(+.f64 (.f64 im im) (.f64 re re))
(fma.f64 re re (*.f64 im im))

Symmetry

(abs re)

(abs im)

(sort re im)

Compiler

Compiled 27 to 11 computations (59.3% saved)

eval0.0ms (0%)

Compiler: Compiled 19 to 9 computations (52.6% saved)

prune2.0ms (0.1%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 18 to 10 computations (44.4% saved)

localize24.0ms (2%)

Compiler: Compiled 18 to 6 computations (66.7% saved)

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%	(+.f64 (.f64 re re) (.f64 im im))

Compiler

Compiled 18 to 10 computations (44.4% saved)

simplify7.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	8	19

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(+.f64 (.f64 re re) (.f64 im im))

Outputs
(+.f64 (.f64 re re) (.f64 im im))

Compiler

Compiled 9 to 5 computations (44.4% saved)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess26.0ms (2.1%)

Remove

(sort re im)

(abs im)

(abs re)

Compiler

Compiled 90 to 50 computations (44.4% saved)

analyze0.0ms (0%)

sample1.1s (90.3%)

preprocess59.0ms (4.8%)

eval0.0ms (0%)

prune2.0ms (0.1%)

localize24.0ms (2%)

eval0.0ms (0%)

prune1.0ms (0.1%)

simplify7.0ms (0.5%)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess26.0ms (2.1%)

Profiling