Metrics for math.abs on complex (squared)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

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 9 to 7 computations (22.2% saved)

sample573.0ms (43%)

Memory

29.8MiB live, 1 118.3MiB allocated; 255ms collecting garbage

Samples

277.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 117.0ms

ival-mult!: 97.0ms (83% of total)

ival-add!: 18.0ms (15.4% of total)

adjust: 2.0ms (1.7% of total)

Bogosity

preprocess125.0ms (9.4%)

Memory

-11.9MiB live, 33.9MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	44
1	50	44
2	144	44
3	189	44
4	406	44
5	2058	44
6	4972	44

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

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

Symmetry

(abs re)

(abs im)

(sort re im)

Compiler

Compiled 14 to 10 computations (28.6% saved)

series74.0ms (5.5%)

Memory

9.0MiB live, 107.6MiB allocated; 14ms collecting garbage

Counts

5 → 7

Calls

Call 1

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

Outputs
#s(approx (+ (* re re) (* im im)) (pow.f64 im #s(literal 2 binary64)))
#s(approx (+ (* re re) (* im im)) (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))
#s(approx (* re re) (pow.f64 re #s(literal 2 binary64)))
#s(approx re re)
#s(approx (+ (* re re) (* im im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
#s(approx im im)
#s(approx (+ (* re re) (* im im)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))

Calls

6 calls:

Time	Variable	Point
1.0ms	re	inf
1.0ms	re	-inf
1.0ms	im	inf
1.0ms	re	0
1.0ms	im	-inf

rewrite145.0ms (10.9%)

Memory

42.8MiB live, 261.7MiB allocated; 88ms collecting garbage

Counts

5 → 20

Calls

Call 1

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

Outputs
(+.f64 (.f64 re re) (.f64 im im))
(+.f64 (.f64 im im) (.f64 re re))
(-.f64 (.f64 re re) (neg.f64 (.f64 im im)))
(-.f64 (.f64 re re) (.f64 (neg.f64 im) im))
(fma.f64 (neg.f64 re) (neg.f64 re) (*.f64 im im))
(fma.f64 (fabs.f64 re) (fabs.f64 re) (*.f64 im im))
(fma.f64 (neg.f64 im) (neg.f64 im) (*.f64 re re))
(fma.f64 (fabs.f64 im) (fabs.f64 im) (*.f64 re re))
(fma.f64 re re (*.f64 im im))
(fma.f64 im im (*.f64 re re))
(*.f64 re re)
(*.f64 (neg.f64 re) (neg.f64 re))
(*.f64 (fabs.f64 re) (fabs.f64 re))
(pow.f64 re #s(literal 2 binary64))
re
(*.f64 im im)
(*.f64 (neg.f64 im) (neg.f64 im))
(*.f64 (fabs.f64 im) (fabs.f64 im))
(pow.f64 im #s(literal 2 binary64))
im

eval2.0ms (0.2%)

Memory: 9.3MiB live, 9.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 218 to 55 computations (74.8% saved)

prune23.0ms (1.8%)

Memory

-35.9MiB live, 3.8MiB allocated; 37ms collecting garbage

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	21	1	22
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	22	1	23

Accuracy

100.0%

Counts

23 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 6 to 4 computations (33.3% saved)

series210.0ms (15.7%)

Memory

-29.7MiB live, 96.9MiB allocated; 242ms collecting garbage

Counts

4 → 7

Calls

Call 1

Inputs
(fma.f64 re re (*.f64 im im))
re
(*.f64 im im)
im

Outputs
#s(approx (+ (* re re) (* im im)) (pow.f64 im #s(literal 2 binary64)))
#s(approx (+ (* re re) (* im im)) (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))
#s(approx re re)
#s(approx (+ (* re re) (* im im)) (pow.f64 re #s(literal 2 binary64)))
#s(approx (+ (* re re) (* im im)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
#s(approx im im)
#s(approx (+ (* re re) (* im im)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))

Calls

6 calls:

Time	Variable	Point
1.0ms	im	-inf
1.0ms	im	inf
1.0ms	re	-inf
0.0ms	re	inf
0.0ms	im	0

rewrite151.0ms (11.3%)

Memory

-3.6MiB live, 140.9MiB allocated; 30ms collecting garbage

Counts

4 → 16

Calls

Call 1

Inputs
(fma.f64 re re (*.f64 im im))
re
(*.f64 im im)
im

Outputs
(+.f64 (.f64 re re) (.f64 im im))
(+.f64 (.f64 im im) (.f64 re re))
(-.f64 (.f64 re re) (neg.f64 (.f64 im im)))
(-.f64 (.f64 re re) (.f64 (neg.f64 im) im))
(fma.f64 re re (*.f64 im im))
(fma.f64 (neg.f64 re) (neg.f64 re) (*.f64 im im))
(fma.f64 (fabs.f64 re) (fabs.f64 re) (*.f64 im im))
(fma.f64 (neg.f64 im) (neg.f64 im) (*.f64 re re))
(fma.f64 (fabs.f64 im) (fabs.f64 im) (*.f64 re re))
(fma.f64 im im (*.f64 re re))
re
(*.f64 im im)
(*.f64 (neg.f64 im) (neg.f64 im))
(*.f64 (fabs.f64 im) (fabs.f64 im))
(pow.f64 im #s(literal 2 binary64))
im

eval2.0ms (0.1%)

Memory: 7.0MiB live, 7.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 189 to 48 computations (74.6% saved)

prune1.0ms (0.1%)

Memory

4.0MiB live, 4.0MiB allocated; 0ms collecting garbage

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	19	0	19
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	19	1	20

Accuracy

100.0%

Counts

20 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 re re (*.f64 im im))

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0.4%)

Memory

25.4MiB live, 25.4MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

5 calls:

1.0ms	im
1.0ms	re
1.0ms	(*.f64 im im)
1.0ms	(+.f64 (.f64 re re) (.f64 im im))
1.0ms	(*.f64 re re)

Results

Accuracy	Segments	Branch
100.0%	1	`(*.f64 im im)`
100.0%	1	`(*.f64 re re)`
100.0%	1	`(+.f64 (.f64 re re) (.f64 im im))`
100.0%	1	`re`
100.0%	1	`im`

Compiler

Compiled 28 to 21 computations (25% saved)

derivations0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 6 to 4 computations (33.3% saved)

preprocess20.0ms (1.5%)

Memory

-15.7MiB live, 36.4MiB allocated; 17ms collecting garbage

Remove

(sort re im)

(abs im)

(abs re)

Compiler

Compiled 49 to 33 computations (32.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze0.0ms (0%)

sample573.0ms (43%)

preprocess125.0ms (9.4%)

series74.0ms (5.5%)

rewrite145.0ms (10.9%)

eval2.0ms (0.2%)

prune23.0ms (1.8%)

series210.0ms (15.7%)

rewrite151.0ms (11.3%)

eval2.0ms (0.1%)

prune1.0ms (0.1%)

regimes6.0ms (0.4%)

derivations0.0ms (0%)

preprocess20.0ms (1.5%)

end0.0ms (0%)

Profiling