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)

sample742.0ms (88.7%)

Results

436.0ms	4634×	body	256	valid
294.0ms	3622×	body	256	infinite

Bogosity

preprocess47.0ms (5.6%)

Algorithm

1×	egg-herbie

Rules

190×	`fma-def`
38×	`distribute-lft-neg-in`
26×	`unsub-neg`
26×	`neg-sub0`
26×	`neg-mul-1`

Problems

256×

No Errors

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	197
1	47	197
2	100	197
3	223	197
4	309	197
5	336	197

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)))
(neg.f64 (+.f64 (.f64 (neg.f64 re) (neg.f64 re)) (.f64 im im)))
(neg.f64 (+.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))
(neg.f64 (+.f64 (.f64 (neg.f64 re) (neg.f64 re)) (.f64 im im)))
(neg.f64 (fma.f64 re re (*.f64 im im)))
(neg.f64 (+.f64 (.f64 re re) (.f64 (neg.f64 im) (neg.f64 im))))
(neg.f64 (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 8 to 4 computations (50% saved)

prune1.0ms (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)

localize22.0ms (2.7%)

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)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	31
1	11	31

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%)

preprocess21.0ms (2.5%)

Remove

(sort re im)

(abs im)

(abs re)

Compiler

Compiled 90 to 50 computations (44.4% saved)

analyze0.0ms (0%)

sample742.0ms (88.7%)

preprocess47.0ms (5.6%)

eval0.0ms (0%)

prune1.0ms (0.1%)

localize22.0ms (2.7%)

eval0.0ms (0%)

prune1.0ms (0.1%)

simplify2.0ms (0.2%)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess21.0ms (2.5%)

Profiling