Metrics for _multiplyComplex, imaginary part

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB 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)

sample934.0ms (13%)

Memory

-1.9MiB live, 326.6MiB allocated; 96ms collecting garbage

Samples

533.0ms	8 255×	0	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 205.0ms

ival-mult!: 181.0ms (88.4% of total)

ival-add!: 22.0ms (10.7% of total)

adjust: 2.0ms (1% of total)

Bogosity

preprocess18.0ms (0.3%)

Memory

8.6MiB live, 8.6MiB allocated; 0ms 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
▶	99.6%	(+.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)

series85.0ms (1.2%)

Memory

13.8MiB live, 13.8MiB 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)) (*.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
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)

rewrite2.9s (40.9%)

Memory

0.9MiB live, 1 224.4MiB allocated; 312ms collecting garbage

Counts

7 → 31

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 x.re y.im) (.f64 x.im y.re))
(+.f64 (.f64 x.im y.re) (.f64 x.re y.im))
(-.f64 (.f64 x.re y.im) (neg.f64 (.f64 x.im y.re)))
(-.f64 (.f64 x.im y.re) (neg.f64 (.f64 x.re y.im)))
(fma.f64 (neg.f64 x.re) (neg.f64 y.im) (*.f64 x.im y.re))
(fma.f64 (neg.f64 x.im) (neg.f64 y.re) (*.f64 x.re y.im))
(fma.f64 (neg.f64 y.re) (neg.f64 x.im) (*.f64 x.re y.im))
(fma.f64 (neg.f64 y.im) (neg.f64 x.re) (*.f64 x.im y.re))
(fma.f64 y.im x.re (*.f64 x.im y.re))
(fma.f64 y.re x.im (*.f64 x.re y.im))
(fma.f64 x.im y.re (*.f64 x.re y.im))
(fma.f64 x.re y.im (*.f64 x.im y.re))
(neg.f64 (neg.f64 (fma.f64 y.im x.re (*.f64 x.im y.re))))
(*.f64 x.re y.im)
(*.f64 y.im x.re)
(*.f64 (neg.f64 x.re) (neg.f64 y.im))
(*.f64 (neg.f64 y.im) (neg.f64 x.re))
(neg.f64 (neg.f64 (*.f64 x.re y.im)))
x.re
(neg.f64 (neg.f64 x.re))
y.im
(neg.f64 (neg.f64 y.im))
(*.f64 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))
(neg.f64 (neg.f64 (*.f64 x.im y.re)))
x.im
(neg.f64 (neg.f64 x.im))
y.re
(neg.f64 (neg.f64 y.re))

eval7.0ms (0.1%)

Memory: 5.1MiB live, 5.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 189 to 109 computations (42.3% saved)

prune3.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	37	2	39
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	38	2	40

Accuracy

100.0%

Counts

40 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 y.re x.im (*.f64 x.re y.im))
▶	55.4%	#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 x.im y.re))

Compiler

Compiled 15 to 15 computations (0% saved)

series94.0ms (1.3%)

Memory

38.8MiB live, 38.8MiB allocated; 0ms collecting garbage

Counts

8 → 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.re x.im (*.f64 x.re y.im))
(*.f64 x.re y.im)
x.re
y.im

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
1.0ms	x.im	@	-inf	((+ (* x.re y.im) (* x.im y.re)) (* x.im y.re) x.im y.re (+ (* y.re x.im) (* x.re y.im)) (* x.re y.im) x.re y.im)
1.0ms	x.re	@	-inf	((+ (* x.re y.im) (* x.im y.re)) (* x.im y.re) x.im y.re (+ (* y.re x.im) (* x.re y.im)) (* x.re y.im) x.re y.im)
1.0ms	y.re	@	-inf	((+ (* x.re y.im) (* x.im y.re)) (* x.im y.re) x.im y.re (+ (* y.re x.im) (* x.re y.im)) (* x.re y.im) x.re y.im)
1.0ms	y.im	@	-inf	((+ (* x.re y.im) (* x.im y.re)) (* x.im y.re) x.im y.re (+ (* y.re x.im) (* x.re y.im)) (* x.re y.im) x.re y.im)
1.0ms	y.re	@	inf	((+ (* x.re y.im) (* x.im y.re)) (* x.im y.re) x.im y.re (+ (* y.re x.im) (* x.re y.im)) (* x.re y.im) x.re y.im)

rewrite3.0s (42.3%)

Memory

-24.1MiB live, 889.9MiB allocated; 186ms collecting garbage

Counts

8 → 32

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

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

eval10.0ms (0.1%)

Memory: 3.4MiB live, 3.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 202 to 117 computations (42.1% saved)

prune6.0ms (0.1%)

Memory

2.0MiB live, 2.0MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	43	0	43
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	43	2	45

Accuracy

100.0%

Counts

45 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 y.re x.im (*.f64 x.re y.im))
✓	55.4%	#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 x.im y.re))

Compiler

Compiled 29 to 27 computations (6.9% saved)

regimes24.0ms (0.3%)

Memory

12.7MiB live, 12.7MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

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

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

Calls

7 calls:

3.0ms	x.re
3.0ms	y.im
3.0ms	y.re
3.0ms	x.im
3.0ms	(+.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)

regimes14.0ms (0.2%)

Memory

-36.0MiB live, 10.7MiB allocated; 2ms 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:

3.0ms	x.re
2.0ms	y.im
2.0ms	x.im
2.0ms	y.re
1.0ms	(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))

Results

Accuracy	Segments	Branch
55.4%	1	`(*.f64 x.im y.re)`
55.4%	1	`(*.f64 x.re y.im)`
55.4%	1	`(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))`
55.4%	1	`x.re`
55.4%	1	`x.im`
55.4%	1	`y.re`
55.4%	1	`y.im`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

derivations0.0ms (0%)

Memory

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

Stop Event

1×

done

Compiler

Compiled 11 to 11 computations (0% saved)

preprocess17.0ms (0.2%)

Memory

16.2MiB live, 16.2MiB allocated; 0ms 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%)

sample934.0ms (13%)

preprocess18.0ms (0.3%)

series85.0ms (1.2%)

rewrite2.9s (40.9%)

eval7.0ms (0.1%)

prune3.0ms (0%)

series94.0ms (1.3%)

rewrite3.0s (42.3%)

eval10.0ms (0.1%)

prune6.0ms (0.1%)

regimes24.0ms (0.3%)

regimes14.0ms (0.2%)

derivations0.0ms (0%)

preprocess17.0ms (0.2%)

end0.0ms (0%)

Profiling