Metrics for _multiplyComplex, imaginary part

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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)

sample1.7s (67.9%)

Memory

-68.8MiB live, 865.7MiB allocated; 1.6s collecting garbage

Samples

1.3s

8 256×

valid

Precisions

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

ival-mult!: 189.0ms (90.8% of total)

ival-add!: 18.0ms (8.6% of total)

adjust: 1.0ms (0.5% of total)

Bogosity

preprocess24.0ms (0.9%)

Memory

-24.7MiB live, 20.9MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	109
1	102	105
2	220	105
3	333	105
4	333	105

Stop Event

1×

saturated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.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)

series8.0ms (0.3%)

Memory

10.4MiB live, 10.4MiB allocated; 0ms collecting garbage

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)) #s(hole binary64 (* x.im y.re)))
#s(approx (+ (* x.re y.im) (* x.im y.re)) #s(hole binary64 (+ (* x.im y.re) (* x.re y.im))))
#s(approx (* x.re y.im) #s(hole binary64 (* x.re y.im)))
#s(approx x.re #s(hole binary64 x.re))
#s(approx (+ (* x.re y.im) (* x.im y.re)) #s(hole binary64 (* x.re (+ y.im (/ (* x.im y.re) x.re)))))
#s(approx (+ (* x.re y.im) (* x.im y.re)) #s(hole binary64 (* -1 (* x.re (+ (* -1 y.im) (* -1 (/ (* x.im y.re) x.re)))))))
#s(approx x.im #s(hole binary64 x.im))
#s(approx (+ (* x.re y.im) (* x.im y.re)) #s(hole binary64 (* x.im (+ y.re (/ (* x.re y.im) x.im)))))
#s(approx (+ (* x.re y.im) (* x.im y.re)) #s(hole binary64 (* -1 (* x.im (+ (* -1 y.re) (* -1 (/ (* x.re y.im) x.im)))))))
#s(approx y.re #s(hole binary64 y.re))
#s(approx (+ (* x.re y.im) (* x.im y.re)) #s(hole binary64 (* y.re (+ x.im (/ (* x.re y.im) y.re)))))
#s(approx (+ (* x.re y.im) (* x.im y.re)) #s(hole binary64 (* -1 (* y.re (+ (* -1 x.im) (* -1 (/ (* x.re y.im) y.re)))))))
#s(approx y.im #s(hole binary64 y.im))
#s(approx (+ (* x.re y.im) (* x.im y.re)) #s(hole binary64 (* y.im (+ x.re (/ (* x.im y.re) y.im)))))
#s(approx (+ (* x.re y.im) (* x.im y.re)) #s(hole binary64 (* -1 (* y.im (+ (* -1 x.re) (* -1 (/ (* x.im y.re) y.im)))))))

Calls

12 calls:

Time	Variable		Point	Expression
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)
1.0ms	y.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	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)

rewrite166.0ms (6.5%)

Memory

2.9MiB live, 141.7MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	222
0	60	198
1	346	198
2	2883	198
0	8466	178
1	26637	178

Stop Event

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

Counts

22 → 45

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
#s(approx (+ (* x.re y.im) (* x.im y.re)) #s(hole binary64 (* x.im y.re)))
#s(approx (+ (* x.re y.im) (* x.im y.re)) #s(hole binary64 (+ (* x.im y.re) (* x.re y.im))))
#s(approx (* x.re y.im) #s(hole binary64 (* x.re y.im)))
#s(approx x.re #s(hole binary64 x.re))
#s(approx (+ (* x.re y.im) (* x.im y.re)) #s(hole binary64 (* x.re (+ y.im (/ (* x.im y.re) x.re)))))
#s(approx (+ (* x.re y.im) (* x.im y.re)) #s(hole binary64 (* -1 (* x.re (+ (* -1 y.im) (* -1 (/ (* x.im y.re) x.re)))))))
#s(approx x.im #s(hole binary64 x.im))
#s(approx (+ (* x.re y.im) (* x.im y.re)) #s(hole binary64 (* x.im (+ y.re (/ (* x.re y.im) x.im)))))
#s(approx (+ (* x.re y.im) (* x.im y.re)) #s(hole binary64 (* -1 (* x.im (+ (* -1 y.re) (* -1 (/ (* x.re y.im) x.im)))))))
#s(approx y.re #s(hole binary64 y.re))
#s(approx (+ (* x.re y.im) (* x.im y.re)) #s(hole binary64 (* y.re (+ x.im (/ (* x.re y.im) y.re)))))
#s(approx (+ (* x.re y.im) (* x.im y.re)) #s(hole binary64 (* -1 (* y.re (+ (* -1 x.im) (* -1 (/ (* x.re y.im) y.re)))))))
#s(approx y.im #s(hole binary64 y.im))
#s(approx (+ (* x.re y.im) (* x.im y.re)) #s(hole binary64 (* y.im (+ x.re (/ (* x.im y.re) y.im)))))
#s(approx (+ (* x.re y.im) (* x.im y.re)) #s(hole binary64 (* -1 (* y.im (+ (* -1 x.re) (* -1 (/ (* x.im y.re) y.im)))))))

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

eval3.0ms (0.1%)

Memory: 4.6MiB live, 4.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 136 to 68 computations (50% saved)

prune1.0ms (0.1%)

Memory

2.2MiB live, 2.2MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	31	2	33
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	32	2	34

Accuracy

100.0%

Counts

34 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 y.im x.re (*.f64 y.re x.im))
▶	55.9%	#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.re x.im))

Compiler

Compiled 15 to 15 computations (0% saved)

series5.0ms (0.2%)

Memory

7.3MiB live, 7.3MiB allocated; 0ms collecting garbage

Counts

7 → 15

Calls

Call 1

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

Outputs
#s(approx (+ (* x.re y.im) (* x.im y.re)) #s(hole binary64 (* x.im y.re)))
#s(approx (+ (* x.re y.im) (* x.im y.re)) #s(hole binary64 (+ (* x.im y.re) (* x.re y.im))))
#s(approx x.re #s(hole binary64 x.re))
#s(approx (+ (* x.re y.im) (* x.im y.re)) #s(hole binary64 (* x.re y.im)))
#s(approx (+ (* x.re y.im) (* x.im y.re)) #s(hole binary64 (* x.re (+ y.im (/ (* x.im y.re) x.re)))))
#s(approx (+ (* x.re y.im) (* x.im y.re)) #s(hole binary64 (* -1 (* x.re (+ (* -1 y.im) (* -1 (/ (* x.im y.re) x.re)))))))
#s(approx x.im #s(hole binary64 x.im))
#s(approx (+ (* x.re y.im) (* x.im y.re)) #s(hole binary64 (* x.im (+ y.re (/ (* x.re y.im) x.im)))))
#s(approx (+ (* x.re y.im) (* x.im y.re)) #s(hole binary64 (* -1 (* x.im (+ (* -1 y.re) (* -1 (/ (* x.re y.im) x.im)))))))
#s(approx y.re #s(hole binary64 y.re))
#s(approx (+ (* x.re y.im) (* x.im y.re)) #s(hole binary64 (* y.re (+ x.im (/ (* x.re y.im) y.re)))))
#s(approx (+ (* x.re y.im) (* x.im y.re)) #s(hole binary64 (* -1 (* y.re (+ (* -1 x.im) (* -1 (/ (* x.re y.im) y.re)))))))
#s(approx y.im #s(hole binary64 y.im))
#s(approx (+ (* x.re y.im) (* x.im y.re)) #s(hole binary64 (* y.im (+ x.re (/ (* x.im y.re) y.im)))))
#s(approx (+ (* x.re y.im) (* x.im y.re)) #s(hole binary64 (* -1 (* y.im (+ (* -1 x.re) (* -1 (/ (* 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)) (* y.re x.im) y.re x.im (+ (* y.im x.re) (* y.re x.im)) y.im x.re)
1.0ms	y.re	@	-inf	((+ (* x.re y.im) (* x.im y.re)) (* y.re x.im) y.re x.im (+ (* y.im x.re) (* y.re x.im)) y.im x.re)
0.0ms	y.re	@	inf	((+ (* x.re y.im) (* x.im y.re)) (* y.re x.im) y.re x.im (+ (* y.im x.re) (* y.re x.im)) y.im x.re)
0.0ms	x.im	@	inf	((+ (* x.re y.im) (* x.im y.re)) (* y.re x.im) y.re x.im (+ (* y.im x.re) (* y.re x.im)) y.im x.re)
0.0ms	x.re	@	-inf	((+ (* x.re y.im) (* x.im y.re)) (* y.re x.im) y.re x.im (+ (* y.im x.re) (* y.re x.im)) y.im x.re)

rewrite155.0ms (6%)

Memory

-6.9MiB live, 128.7MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	233
0	62	196
1	372	196
2	2925	196
0	8507	188
1	26687	188

Stop Event

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

Counts

22 → 47

Calls

Call 1

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

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

eval3.0ms (0.1%)

Memory: 5.0MiB live, 5.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 149 to 70 computations (53% saved)

prune2.0ms (0.1%)

Memory

2.7MiB live, 2.7MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	35	1	36
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	35	3	38

Accuracy

100.0%

Counts

38 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 y.im x.re (*.f64 y.re x.im))
✓	55.9%	#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.re x.im))
▶	48.0%	#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.im x.re))

Compiler

Compiled 24 to 24 computations (0% saved)

series4.0ms (0.1%)

Memory

5.5MiB live, 5.5MiB allocated; 0ms collecting garbage

Counts

4 → 13

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x.re	@	-inf	((+ (* x.re y.im) (* x.im y.re)) (* y.im x.re) y.im x.re)
1.0ms	y.im	@	-inf	((+ (* x.re y.im) (* x.im y.re)) (* y.im x.re) y.im x.re)
0.0ms	x.re	@	inf	((+ (* x.re y.im) (* x.im y.re)) (* y.im x.re) y.im x.re)
0.0ms	y.im	@	inf	((+ (* x.re y.im) (* x.im y.re)) (* y.im x.re) y.im x.re)
0.0ms	x.re	@	0	((+ (* x.re y.im) (* x.im y.re)) (* y.im x.re) y.im x.re)

rewrite274.0ms (10.7%)

Memory

-8.9MiB live, 135.8MiB allocated; 140ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	215
0	58	191
1	345	191
2	2882	191
0	8466	171
1	26639	171

Stop Event

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

Counts

17 → 18

Calls

Call 1

Inputs
#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.im x.re))
(*.f64 y.im x.re)
y.im
x.re
#s(approx (+ (* x.re y.im) (* x.im y.re)) #s(hole binary64 (* x.im y.re)))
#s(approx (+ (* x.re y.im) (* x.im y.re)) #s(hole binary64 (+ (* x.im y.re) (* x.re y.im))))
#s(approx (* y.im x.re) #s(hole binary64 (* x.re y.im)))
#s(approx x.re #s(hole binary64 x.re))
#s(approx (+ (* x.re y.im) (* x.im y.re)) #s(hole binary64 (* x.re (+ y.im (/ (* x.im y.re) x.re)))))
#s(approx (+ (* x.re y.im) (* x.im y.re)) #s(hole binary64 (* -1 (* x.re (+ (* -1 y.im) (* -1 (/ (* x.im y.re) x.re)))))))
#s(approx (+ (* x.re y.im) (* x.im y.re)) #s(hole binary64 (* x.im (+ y.re (/ (* x.re y.im) x.im)))))
#s(approx (+ (* x.re y.im) (* x.im y.re)) #s(hole binary64 (* -1 (* x.im (+ (* -1 y.re) (* -1 (/ (* x.re y.im) x.im)))))))
#s(approx (+ (* x.re y.im) (* x.im y.re)) #s(hole binary64 (* y.re (+ x.im (/ (* x.re y.im) y.re)))))
#s(approx (+ (* x.re y.im) (* x.im y.re)) #s(hole binary64 (* -1 (* y.re (+ (* -1 x.im) (* -1 (/ (* x.re y.im) y.re)))))))
#s(approx y.im #s(hole binary64 y.im))
#s(approx (+ (* x.re y.im) (* x.im y.re)) #s(hole binary64 (* y.im (+ x.re (/ (* x.im y.re) y.im)))))
#s(approx (+ (* x.re y.im) (* x.im y.re)) #s(hole binary64 (* -1 (* y.im (+ (* -1 x.re) (* -1 (/ (* x.im y.re) y.im)))))))

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

eval1.0ms (0%)

Memory: 0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 40 to 27 computations (32.5% saved)

prune1.0ms (0.1%)

Memory

1.8MiB live, 1.8MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	7	0	7
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	7	3	10

Accuracy

100.0%

Counts

10 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 y.im x.re (*.f64 y.re x.im))
✓	55.9%	#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.re x.im))
✓	48.0%	#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 y.im x.re))

Compiler

Compiled 43 to 39 computations (9.3% saved)

regimes12.0ms (0.5%)

Memory

16.9MiB live, 16.9MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

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

2.0ms	y.im
2.0ms	x.re
2.0ms	y.re
2.0ms	x.im
2.0ms	(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))

Results

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

Compiler

Compiled 17 to 33 computations (-94.1% saved)

regimes39.0ms (1.5%)

Memory

-30.4MiB live, 15.8MiB allocated; 3ms collecting garbage

Counts

2 → 3

Calls

Call 1

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

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

Calls

7 calls:

31.0ms	y.re
1.0ms	(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))
1.0ms	y.im
1.0ms	x.re
1.0ms	x.im

Results

Accuracy	Segments	Branch
81.5%	3	`(*.f64 x.im y.re)`
79.9%	3	`(*.f64 x.re y.im)`
59.1%	2	`(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))`
77.6%	3	`x.re`
76.5%	3	`x.im`
71.4%	3	`y.re`
72.6%	3	`y.im`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

regimes7.0ms (0.3%)

Memory

12.9MiB live, 12.9MiB 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 y.im x.re))

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
48.0%	1	`(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))`
48.0%	1	`y.re`
48.0%	1	`y.im`
48.0%	1	`x.im`
48.0%	1	`x.re`
48.0%	1	`(*.f64 x.re y.im)`
48.0%	1	`(*.f64 x.im y.re)`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.6163592266054983e-72	2.678546968783241e-62
0.0ms	-91621897566.90555	-332034394.36382484

Compiler

Compiled 10 to 14 computations (-40% saved)

derivations91.0ms (3.6%)

Memory

-4.0MiB live, 48.4MiB allocated; 6ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 23 to 19 computations (17.4% saved)

preprocess27.0ms (1%)

Memory

2.7MiB live, 46.6MiB allocated; 4ms collecting garbage

Remove

(sort x.im y.re)

(sort x.re y.im)

Compiler

Compiled 174 to 158 computations (9.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.7s (67.9%)

preprocess24.0ms (0.9%)

series8.0ms (0.3%)

rewrite166.0ms (6.5%)

eval3.0ms (0.1%)

prune1.0ms (0.1%)

series5.0ms (0.2%)

rewrite155.0ms (6%)

eval3.0ms (0.1%)

prune2.0ms (0.1%)

series4.0ms (0.1%)

rewrite274.0ms (10.7%)

eval1.0ms (0%)

prune1.0ms (0.1%)

regimes12.0ms (0.5%)

regimes39.0ms (1.5%)

regimes7.0ms (0.3%)

bsearch0.0ms (0%)

derivations91.0ms (3.6%)

preprocess27.0ms (1%)

end0.0ms (0%)

Profiling