Metrics for _multiplyComplex, imaginary part

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
100%	99.8%	0%	0.2%	0%	0%	0%	1

Compiler

Compiled 9 to 9 computations (0% saved)

sample672.0ms (46.8%)

Memory

22.1MiB live, 915.9MiB allocated; 111ms collecting garbage

Samples

408.0ms

8 256×

valid

Precisions

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

ival-mult!: 90.0ms (76.7% of total)

ival-add!: 26.0ms (22.2% of total)

adjust: 1.0ms (0.9% of total)

Bogosity

preprocess20.0ms (1.4%)

Memory

12.5MiB live, 58.0MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	109
1	98	105
2	217	105
3	329	105
4	329	105

Stop Event

1×

saturated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))

Symmetry

(sort x.re y.im)

(sort x.im y.re)

Compiler

Compiled 14 to 14 computations (0% saved)

series24.0ms (1.6%)

Memory

2.3MiB live, 50.5MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	190

Stop Event

1×	iter-limit

Counts

7 → 15

Calls

Call 1

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

Outputs
#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 x.im y.re))
#s(approx (+ (* x.re y.im) (* x.im y.re)) (fma.f64 x.im y.re (*.f64 x.re y.im)))
#s(approx (* x.re y.im) (*.f64 x.re y.im))
#s(approx x.re x.re)
#s(approx (+ (* x.re y.im) (* x.im y.re)) (.f64 x.re (+.f64 y.im (/.f64 (.f64 x.im y.re) x.re))))
#s(approx (+ (* x.re y.im) (* x.im y.re)) (.f64 #s(literal -1 binary64) (.f64 x.re (fma.f64 #s(literal -1 binary64) y.im (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.re) x.re))))))
#s(approx x.im x.im)
#s(approx (+ (* x.re y.im) (* x.im y.re)) (.f64 x.im (+.f64 y.re (/.f64 (.f64 x.re y.im) x.im))))
#s(approx (+ (* x.re y.im) (* x.im y.re)) (.f64 #s(literal -1 binary64) (.f64 x.im (fma.f64 #s(literal -1 binary64) y.re (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) x.im))))))
#s(approx y.re y.re)
#s(approx (+ (* x.re y.im) (* x.im y.re)) (.f64 y.re (+.f64 x.im (/.f64 (.f64 x.re y.im) y.re))))
#s(approx (+ (* x.re y.im) (* x.im y.re)) (.f64 #s(literal -1 binary64) (.f64 y.re (fma.f64 #s(literal -1 binary64) x.im (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) y.re))))))
#s(approx y.im y.im)
#s(approx (+ (* x.re y.im) (* x.im y.re)) (.f64 y.im (+.f64 x.re (/.f64 (.f64 x.im y.re) y.im))))
#s(approx (+ (* x.re y.im) (* x.im y.re)) (.f64 #s(literal -1 binary64) (.f64 y.im (fma.f64 #s(literal -1 binary64) x.re (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.re) y.im))))))

Calls

12 calls:

Time	Variable		Point	Expression
9.0ms	x.im	@	0	((+ (* x.re y.im) (* x.im y.re)) (* x.re y.im) x.re y.im (* x.im y.re) x.im y.re)
1.0ms	x.im	@	inf	((+ (* x.re y.im) (* x.im y.re)) (* x.re y.im) x.re y.im (* x.im y.re) x.im y.re)
1.0ms	y.re	@	-inf	((+ (* x.re y.im) (* x.im y.re)) (* x.re y.im) x.re y.im (* x.im y.re) x.im y.re)
1.0ms	x.re	@	-inf	((+ (* x.re y.im) (* x.im y.re)) (* x.re y.im) x.re y.im (* x.im y.re) x.im y.re)
1.0ms	x.re	@	inf	((+ (* x.re y.im) (* x.im y.re)) (* x.re y.im) x.re y.im (* x.im y.re) x.im y.re)

rewrite337.0ms (23.5%)

Memory

-26.7MiB live, 376.4MiB allocated; 134ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
0	10	17
1	35	17
2	102	17
3	237	17
4	404	17
5	731	17
6	3411	17
0	8064	16

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

7 → 39

Calls

Call 1

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

Outputs
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 x.re) y.im) (.f64 y.re x.im))) (.f64 y.re x.im))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 y.im x.re) (.f64 y.re x.im))) (.f64 y.re x.im))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 x.im) y.re) (.f64 y.im x.re))) (.f64 y.im x.re))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 y.re x.im) (.f64 y.im x.re))) (.f64 y.im x.re))
(/.f64 (-.f64 (.f64 (.f64 y.re x.im) (.f64 y.re x.im)) (.f64 (.f64 (neg.f64 x.re) y.im) (.f64 (neg.f64 x.re) y.im))) (+.f64 (.f64 y.re x.im) (.f64 (neg.f64 x.re) y.im)))
(/.f64 (-.f64 (pow.f64 (.f64 y.re x.im) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 x.re) y.im) #s(literal 3 binary64))) (fma.f64 (.f64 y.re x.im) (.f64 y.re x.im) (fma.f64 (.f64 (neg.f64 x.re) y.im) (.f64 (neg.f64 x.re) y.im) (.f64 (.f64 y.re x.im) (*.f64 (neg.f64 x.re) y.im)))))
(/.f64 (-.f64 (.f64 (.f64 y.re x.im) (.f64 y.re x.im)) (.f64 (.f64 y.im x.re) (.f64 y.im x.re))) (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)))
(/.f64 (-.f64 (.f64 (.f64 y.im x.re) (.f64 y.im x.re)) (.f64 (.f64 (neg.f64 x.im) y.re) (.f64 (neg.f64 x.im) y.re))) (+.f64 (.f64 y.im x.re) (.f64 (neg.f64 x.im) y.re)))
(/.f64 (+.f64 (pow.f64 (.f64 y.re x.im) #s(literal 3 binary64)) (pow.f64 (.f64 y.im x.re) #s(literal 3 binary64))) (fma.f64 (.f64 y.re x.im) (.f64 y.re x.im) (-.f64 (.f64 (.f64 y.im x.re) (.f64 y.im x.re)) (.f64 (.f64 y.re x.im) (.f64 y.im x.re)))))
(/.f64 (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 x.im) y.re) #s(literal 3 binary64))) (fma.f64 (.f64 y.im x.re) (.f64 y.im x.re) (fma.f64 (.f64 (neg.f64 x.im) y.re) (.f64 (neg.f64 x.im) y.re) (.f64 (.f64 y.im x.re) (*.f64 (neg.f64 x.im) y.re)))))
(/.f64 (-.f64 (.f64 (.f64 y.im x.re) (.f64 y.im x.re)) (.f64 (.f64 y.re x.im) (.f64 y.re x.im))) (-.f64 (.f64 y.im x.re) (.f64 y.re x.im)))
(/.f64 (+.f64 (pow.f64 (.f64 y.im x.re) #s(literal 3 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 3 binary64))) (fma.f64 (.f64 y.im x.re) (.f64 y.im x.re) (-.f64 (.f64 (.f64 y.re x.im) (.f64 y.re x.im)) (.f64 (.f64 y.im x.re) (.f64 y.re x.im)))))
(neg.f64 (neg.f64 (fma.f64 y.re x.im (*.f64 y.im x.re))))
(fma.f64 (neg.f64 y.im) (neg.f64 x.re) (*.f64 y.re x.im))
(fma.f64 (neg.f64 x.re) (neg.f64 y.im) (*.f64 y.re x.im))
(fma.f64 (neg.f64 y.re) (neg.f64 x.im) (*.f64 y.im x.re))
(fma.f64 (neg.f64 x.im) (neg.f64 y.re) (*.f64 y.im x.re))
(fma.f64 y.re x.im (*.f64 y.im x.re))
(fma.f64 x.im y.re (*.f64 y.im x.re))
(fma.f64 y.im x.re (*.f64 y.re x.im))
(fma.f64 x.re y.im (*.f64 y.re x.im))
(-.f64 (.f64 y.re x.im) (.f64 (neg.f64 x.re) y.im))
(-.f64 (.f64 y.im x.re) (.f64 (neg.f64 x.im) y.re))
(+.f64 (.f64 y.re x.im) (.f64 y.im x.re))
(+.f64 (.f64 y.im x.re) (.f64 y.re x.im))
(*.f64 (neg.f64 y.im) (neg.f64 x.re))
(*.f64 (neg.f64 x.re) (neg.f64 y.im))
(*.f64 y.im x.re)
(*.f64 x.re y.im)
(neg.f64 (*.f64 (neg.f64 x.re) y.im))
x.re
y.im
(*.f64 (neg.f64 y.re) (neg.f64 x.im))
(*.f64 (neg.f64 x.im) (neg.f64 y.re))
(*.f64 y.re x.im)
(*.f64 x.im y.re)
(neg.f64 (*.f64 (neg.f64 x.im) y.re))
x.im
y.re

eval7.0ms (0.5%)

Memory: -29.6MiB live, 16.5MiB allocated; 3ms collecting garbage
Compiler: Compiled 324 to 153 computations (52.8% saved)

prune2.0ms (0.1%)

Memory

5.2MiB live, 5.2MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	45	3	48
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	46	3	49

Accuracy

100.0%

Counts

49 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(fma.f64 y.re x.im (*.f64 y.im x.re))
▶	99.6%	(fma.f64 y.im x.re (*.f64 y.re x.im))
▶	49.9%	#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 x.im y.re))

Compiler

Compiled 21 to 21 computations (0% saved)

series9.0ms (0.7%)

Memory

30.0MiB live, 30.0MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	190

Stop Event

1×	iter-limit

Counts

10 → 15

Calls

Call 1

Inputs
#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 x.im y.re))
(*.f64 x.im y.re)
x.im
y.re
(fma.f64 y.im x.re (*.f64 y.re x.im))
y.im
x.re
(*.f64 y.re x.im)
(fma.f64 y.re x.im (*.f64 y.im x.re))
(*.f64 y.im x.re)

Outputs
#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 x.im y.re))
#s(approx (+ (* x.re y.im) (* x.im y.re)) (fma.f64 x.im y.re (*.f64 x.re y.im)))
#s(approx x.re x.re)
#s(approx (* y.im x.re) (*.f64 x.re y.im))
#s(approx (+ (* x.re y.im) (* x.im y.re)) (.f64 x.re (+.f64 y.im (/.f64 (.f64 x.im y.re) x.re))))
#s(approx (+ (* x.re y.im) (* x.im y.re)) (.f64 #s(literal -1 binary64) (.f64 x.re (fma.f64 #s(literal -1 binary64) y.im (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.re) x.re))))))
#s(approx x.im x.im)
#s(approx (+ (* x.re y.im) (* x.im y.re)) (.f64 x.im (+.f64 y.re (/.f64 (.f64 x.re y.im) x.im))))
#s(approx (+ (* x.re y.im) (* x.im y.re)) (.f64 #s(literal -1 binary64) (.f64 x.im (fma.f64 #s(literal -1 binary64) y.re (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) x.im))))))
#s(approx y.re y.re)
#s(approx (+ (* x.re y.im) (* x.im y.re)) (.f64 y.re (+.f64 x.im (/.f64 (.f64 x.re y.im) y.re))))
#s(approx (+ (* x.re y.im) (* x.im y.re)) (.f64 #s(literal -1 binary64) (.f64 y.re (fma.f64 #s(literal -1 binary64) x.im (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) y.re))))))
#s(approx y.im y.im)
#s(approx (+ (* x.re y.im) (* x.im y.re)) (.f64 y.im (+.f64 x.re (/.f64 (.f64 x.im y.re) y.im))))
#s(approx (+ (* x.re y.im) (* x.im y.re)) (.f64 #s(literal -1 binary64) (.f64 y.im (fma.f64 #s(literal -1 binary64) x.re (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.re) y.im))))))

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x.im	@	-inf	((+ (* x.re y.im) (* x.im y.re)) (* x.im y.re) x.im y.re (+ (* y.im x.re) (* y.re x.im)) y.im x.re (* y.re x.im) (+ (* y.re x.im) (* y.im x.re)) (* y.im x.re))
1.0ms	y.re	@	-inf	((+ (* x.re y.im) (* x.im y.re)) (* x.im y.re) x.im y.re (+ (* y.im x.re) (* y.re x.im)) y.im x.re (* y.re x.im) (+ (* y.re x.im) (* y.im x.re)) (* y.im x.re))
1.0ms	y.im	@	-inf	((+ (* x.re y.im) (* x.im y.re)) (* x.im y.re) x.im y.re (+ (* y.im x.re) (* y.re x.im)) y.im x.re (* y.re x.im) (+ (* y.re x.im) (* y.im x.re)) (* y.im x.re))
1.0ms	x.re	@	-inf	((+ (* x.re y.im) (* x.im y.re)) (* x.im y.re) x.im y.re (+ (* y.im x.re) (* y.re x.im)) y.im x.re (* y.re x.im) (+ (* y.re x.im) (* y.im x.re)) (* y.im x.re))
1.0ms	x.im	@	inf	((+ (* x.re y.im) (* x.im y.re)) (* x.im y.re) x.im y.re (+ (* y.im x.re) (* y.re x.im)) y.im x.re (* y.re x.im) (+ (* y.re x.im) (* y.im x.re)) (* y.im x.re))

rewrite282.0ms (19.7%)

Memory

-1.6MiB live, 334.1MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	36
0	18	35
1	84	35
2	197	35
3	343	35
4	435	35
5	751	35
6	3431	35
0	8084	35

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

10 → 70

Calls

Call 1

Inputs
#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 x.im y.re))
(*.f64 x.im y.re)
x.im
y.re
(fma.f64 y.im x.re (*.f64 y.re x.im))
y.im
x.re
(*.f64 y.re x.im)
(fma.f64 y.re x.im (*.f64 y.im x.re))
(*.f64 y.im x.re)

Outputs
#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.re x.im))
(*.f64 (neg.f64 x.im) (neg.f64 y.re))
(*.f64 (neg.f64 y.re) (neg.f64 x.im))
(*.f64 y.re x.im)
(*.f64 x.im y.re)
(neg.f64 (*.f64 (neg.f64 x.im) y.re))
x.im
y.re
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 x.im) y.re) (.f64 y.im x.re))) (.f64 y.im x.re))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 y.im) x.re) (.f64 y.re x.im))) (.f64 y.re x.im))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 y.re x.im) (.f64 y.im x.re))) (.f64 y.im x.re))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 y.im x.re) (.f64 y.re x.im))) (.f64 y.re x.im))
(/.f64 (-.f64 (.f64 (.f64 y.im x.re) (.f64 y.im x.re)) (.f64 (.f64 (neg.f64 x.im) y.re) (.f64 (neg.f64 x.im) y.re))) (+.f64 (.f64 y.im x.re) (.f64 (neg.f64 x.im) y.re)))
(/.f64 (-.f64 (.f64 (.f64 y.re x.im) (.f64 y.re x.im)) (.f64 (.f64 (neg.f64 y.im) x.re) (.f64 (neg.f64 y.im) x.re))) (+.f64 (.f64 y.re x.im) (.f64 (neg.f64 y.im) x.re)))
(/.f64 (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 x.im) y.re) #s(literal 3 binary64))) (fma.f64 (.f64 y.im x.re) (.f64 y.im x.re) (fma.f64 (.f64 (neg.f64 x.im) y.re) (.f64 (neg.f64 x.im) y.re) (.f64 (.f64 y.im x.re) (*.f64 (neg.f64 x.im) y.re)))))
(/.f64 (-.f64 (pow.f64 (.f64 y.re x.im) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 y.im) x.re) #s(literal 3 binary64))) (fma.f64 (.f64 y.re x.im) (.f64 y.re x.im) (fma.f64 (.f64 (neg.f64 y.im) x.re) (.f64 (neg.f64 y.im) x.re) (.f64 (.f64 y.re x.im) (*.f64 (neg.f64 y.im) x.re)))))
(/.f64 (-.f64 (.f64 (.f64 y.im x.re) (.f64 y.im x.re)) (.f64 (.f64 y.re x.im) (.f64 y.re x.im))) (-.f64 (.f64 y.im x.re) (.f64 y.re x.im)))
(/.f64 (-.f64 (.f64 (.f64 y.re x.im) (.f64 y.re x.im)) (.f64 (.f64 y.im x.re) (.f64 y.im x.re))) (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)))
(/.f64 (+.f64 (pow.f64 (.f64 y.im x.re) #s(literal 3 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 3 binary64))) (fma.f64 (.f64 y.im x.re) (.f64 y.im x.re) (-.f64 (.f64 (.f64 y.re x.im) (.f64 y.re x.im)) (.f64 (.f64 y.im x.re) (.f64 y.re x.im)))))
(/.f64 (+.f64 (pow.f64 (.f64 y.re x.im) #s(literal 3 binary64)) (pow.f64 (.f64 y.im x.re) #s(literal 3 binary64))) (fma.f64 (.f64 y.re x.im) (.f64 y.re x.im) (-.f64 (.f64 (.f64 y.im x.re) (.f64 y.im x.re)) (.f64 (.f64 y.re x.im) (.f64 y.im x.re)))))
(neg.f64 (neg.f64 (fma.f64 y.re x.im (*.f64 y.im x.re))))
(fma.f64 (neg.f64 x.re) (neg.f64 y.im) (*.f64 y.re x.im))
(fma.f64 (neg.f64 x.im) (neg.f64 y.re) (*.f64 y.im x.re))
(fma.f64 (neg.f64 y.re) (neg.f64 x.im) (*.f64 y.im x.re))
(fma.f64 (neg.f64 y.im) (neg.f64 x.re) (*.f64 y.re x.im))
(fma.f64 y.re x.im (*.f64 y.im x.re))
(fma.f64 x.im y.re (*.f64 y.im x.re))
(fma.f64 y.im x.re (*.f64 y.re x.im))
(fma.f64 x.re y.im (*.f64 y.re x.im))
(-.f64 (.f64 y.im x.re) (.f64 (neg.f64 x.im) y.re))
(-.f64 (.f64 y.re x.im) (.f64 (neg.f64 y.im) x.re))
(+.f64 (.f64 y.im x.re) (.f64 y.re x.im))
(+.f64 (.f64 y.re x.im) (.f64 y.im x.re))
y.im
x.re
(*.f64 (neg.f64 x.im) (neg.f64 y.re))
(*.f64 (neg.f64 y.re) (neg.f64 x.im))
(*.f64 y.re x.im)
(*.f64 x.im y.re)
(neg.f64 (*.f64 (neg.f64 x.im) y.re))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 x.im) y.re) (.f64 y.im x.re))) (.f64 y.im x.re))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 y.im) x.re) (.f64 y.re x.im))) (.f64 y.re x.im))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 y.re x.im) (.f64 y.im x.re))) (.f64 y.im x.re))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 y.im x.re) (.f64 y.re x.im))) (.f64 y.re x.im))
(/.f64 (-.f64 (.f64 (.f64 y.im x.re) (.f64 y.im x.re)) (.f64 (.f64 (neg.f64 x.im) y.re) (.f64 (neg.f64 x.im) y.re))) (+.f64 (.f64 y.im x.re) (.f64 (neg.f64 x.im) y.re)))
(/.f64 (-.f64 (.f64 (.f64 y.re x.im) (.f64 y.re x.im)) (.f64 (.f64 (neg.f64 y.im) x.re) (.f64 (neg.f64 y.im) x.re))) (+.f64 (.f64 y.re x.im) (.f64 (neg.f64 y.im) x.re)))
(/.f64 (-.f64 (pow.f64 (.f64 y.im x.re) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 x.im) y.re) #s(literal 3 binary64))) (fma.f64 (.f64 y.im x.re) (.f64 y.im x.re) (fma.f64 (.f64 (neg.f64 x.im) y.re) (.f64 (neg.f64 x.im) y.re) (.f64 (.f64 y.im x.re) (*.f64 (neg.f64 x.im) y.re)))))
(/.f64 (-.f64 (pow.f64 (.f64 y.re x.im) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 y.im) x.re) #s(literal 3 binary64))) (fma.f64 (.f64 y.re x.im) (.f64 y.re x.im) (fma.f64 (.f64 (neg.f64 y.im) x.re) (.f64 (neg.f64 y.im) x.re) (.f64 (.f64 y.re x.im) (*.f64 (neg.f64 y.im) x.re)))))
(/.f64 (-.f64 (.f64 (.f64 y.im x.re) (.f64 y.im x.re)) (.f64 (.f64 y.re x.im) (.f64 y.re x.im))) (-.f64 (.f64 y.im x.re) (.f64 y.re x.im)))
(/.f64 (-.f64 (.f64 (.f64 y.re x.im) (.f64 y.re x.im)) (.f64 (.f64 y.im x.re) (.f64 y.im x.re))) (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)))
(/.f64 (+.f64 (pow.f64 (.f64 y.im x.re) #s(literal 3 binary64)) (pow.f64 (.f64 y.re x.im) #s(literal 3 binary64))) (fma.f64 (.f64 y.im x.re) (.f64 y.im x.re) (-.f64 (.f64 (.f64 y.re x.im) (.f64 y.re x.im)) (.f64 (.f64 y.im x.re) (.f64 y.re x.im)))))
(/.f64 (+.f64 (pow.f64 (.f64 y.re x.im) #s(literal 3 binary64)) (pow.f64 (.f64 y.im x.re) #s(literal 3 binary64))) (fma.f64 (.f64 y.re x.im) (.f64 y.re x.im) (-.f64 (.f64 (.f64 y.im x.re) (.f64 y.im x.re)) (.f64 (.f64 y.re x.im) (.f64 y.im x.re)))))
(neg.f64 (neg.f64 (fma.f64 y.re x.im (*.f64 y.im x.re))))
(fma.f64 (neg.f64 x.re) (neg.f64 y.im) (*.f64 y.re x.im))
(fma.f64 (neg.f64 x.im) (neg.f64 y.re) (*.f64 y.im x.re))
(fma.f64 (neg.f64 y.re) (neg.f64 x.im) (*.f64 y.im x.re))
(fma.f64 (neg.f64 y.im) (neg.f64 x.re) (*.f64 y.re x.im))
(fma.f64 y.re x.im (*.f64 y.im x.re))
(fma.f64 x.im y.re (*.f64 y.im x.re))
(fma.f64 y.im x.re (*.f64 y.re x.im))
(fma.f64 x.re y.im (*.f64 y.re x.im))
(-.f64 (.f64 y.im x.re) (.f64 (neg.f64 x.im) y.re))
(-.f64 (.f64 y.re x.im) (.f64 (neg.f64 y.im) x.re))
(+.f64 (.f64 y.im x.re) (.f64 y.re x.im))
(+.f64 (.f64 y.re x.im) (.f64 y.im x.re))
(*.f64 (neg.f64 x.re) (neg.f64 y.im))
(*.f64 (neg.f64 y.im) (neg.f64 x.re))
(*.f64 y.im x.re)
(*.f64 x.re y.im)
(neg.f64 (*.f64 (neg.f64 y.im) x.re))

eval6.0ms (0.4%)

Memory: -25.0MiB live, 22.2MiB allocated; 1ms collecting garbage
Compiler: Compiled 337 to 160 computations (52.5% saved)

prune3.0ms (0.2%)

Memory

12.1MiB live, 12.1MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	52	3	55

Accuracy

100.0%

Counts

55 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(fma.f64 y.re x.im (*.f64 y.im x.re))
✓	99.6%	(fma.f64 y.im x.re (*.f64 y.re x.im))
✓	49.9%	#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 x.im y.re))

Compiler

Compiled 37 to 36 computations (2.7% saved)

regimes14.0ms (1%)

Memory

-2.3MiB live, 44.9MiB allocated; 2ms collecting garbage

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 x.im y.re))
(fma.f64 y.im x.re (*.f64 y.re x.im))
(fma.f64 y.re x.im (*.f64 y.im x.re))
(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))

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

Calls

7 calls:

3.0ms	x.re
2.0ms	y.re
2.0ms	y.im
2.0ms	x.im
2.0ms	(*.f64 x.im y.re)

Results

Accuracy	Segments	Branch
99.6%	1	`(*.f64 x.im y.re)`
99.6%	1	`(*.f64 x.re y.im)`
99.6%	1	`(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))`
99.6%	1	`x.re`
99.6%	1	`x.im`
99.6%	1	`y.re`
99.6%	1	`y.im`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

regimes7.0ms (0.5%)

Memory

25.5MiB live, 25.5MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 x.im y.re))

Outputs
#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 x.im y.re))

Calls

7 calls:

1.0ms	x.re
1.0ms	y.im
1.0ms	y.re
1.0ms	x.im
1.0ms	(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))

Results

Accuracy	Segments	Branch
49.9%	1	`(*.f64 x.im y.re)`
49.9%	1	`(*.f64 x.re y.im)`
49.9%	1	`(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))`
49.9%	1	`x.re`
49.9%	1	`x.im`
49.9%	1	`y.re`
49.9%	1	`y.im`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

derivations29.0ms (2%)

Memory

-40.2MiB live, 6.7MiB allocated; 1ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 11 to 11 computations (0% saved)

preprocess22.0ms (1.6%)

Memory

-8.1MiB live, 51.2MiB allocated; 10ms collecting garbage

Remove

(sort x.im y.re)

(sort x.re y.im)

Compiler

Compiled 78 to 78 computations (0% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample672.0ms (46.8%)

preprocess20.0ms (1.4%)

series24.0ms (1.6%)

rewrite337.0ms (23.5%)

eval7.0ms (0.5%)

prune2.0ms (0.1%)

series9.0ms (0.7%)

rewrite282.0ms (19.7%)

eval6.0ms (0.4%)

prune3.0ms (0.2%)

regimes14.0ms (1%)

regimes7.0ms (0.5%)

derivations29.0ms (2%)

preprocess22.0ms (1.6%)

end0.0ms (0%)

Profiling