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)

Precisions

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

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

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

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

sample812.0ms (64.3%)

Results

337.0ms	4705×	256	valid
265.0ms	3551×	256	infinite

Precisions

Click to see histograms. Total time spent on operations: 208.0ms

Operation ival-mult, time spent: 140.0ms, 67.0% of total-time

Operation ival-add, time spent: 59.0ms, 28.0% of total-time

Operation const, time spent: 8.0ms, 4.0% of total-time

Bogosity

preprocess238.0ms (18.9%)

Algorithm

1×	egg-herbie

Rules

68×	`fma-neg`
31×	`fma-define`
19×	`distribute-lft-neg-in`
13×	`unsub-neg`
13×	`neg-sub0`

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`im`
-	-	`(*.f64 im im)`
-	-	`(*.f64 re re)`
-	-	`re`
-	-	`(+.f64 (.f64 re re) (.f64 im im))`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	197
1	47	197
2	100	197
3	226	197
4	312	197
5	339	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)

Results

20.0ms	260×	256	infinite
142.0ms	252×	256	valid

Compiler

Compiled 45 to 17 computations (62.2% saved)

Precisions

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

Operation ival-mult, time spent: 8.0ms, 71.0% of total-time

Operation ival-add, time spent: 3.0ms, 26.0% of total-time

Operation const, time spent: 1.0ms, 9.0% of total-time

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))

Compiler

Compiled 9 to 5 computations (44.4% saved)

localize112.0ms (8.9%)

Results

94.0ms	130×	256	infinite
10.0ms	126×	256	valid

Compiler

Compiled 18 to 6 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 89.0ms

Operation ival-mult, time spent: 87.0ms, 98.0% of total-time

Operation ival-add, time spent: 2.0ms, 2.0% 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%	(+.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

1×	`+-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%)

preprocess96.0ms (7.6%)

Remove

(sort re im)

(abs im)

(abs re)

Compiler

Compiled 144 to 80 computations (44.4% saved)

analyze0.0ms (0%)

sample812.0ms (64.3%)

preprocess238.0ms (18.9%)

eval0.0ms (0%)

prune1.0ms (0.1%)

localize112.0ms (8.9%)

eval0.0ms (0%)

prune1.0ms (0.1%)

simplify2.0ms (0.2%)

soundness0.0ms (0%)

end0.0ms (0%)

preprocess96.0ms (7.6%)

Profiling