Metrics for _multiplyComplex, imaginary part

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

1.3MiB live, 1.3MiB 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)

sample1.1s (58%)

Memory

67.3MiB live, 1 382.4MiB allocated; 331ms collecting garbage

Samples

446.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 175.0ms

ival-mult!: 132.0ms (75.5% of total)

ival-add!: 42.0ms (24% of total)

adjust: 2.0ms (1.1% of total)

Bogosity

preprocess27.0ms (1.4%)

Memory

-39.8MiB live, 55.9MiB allocated; 18ms 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)

series12.0ms (0.6%)

Memory

38.8MiB live, 38.8MiB allocated; 0ms 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
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	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.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)

rewrite315.0ms (16.2%)

Memory

3.5MiB live, 324.4MiB allocated; 42ms 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
1	13811	16

Stop Event

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

Counts

7 → 27

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
(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

eval34.0ms (1.7%)

Memory: -26.4MiB live, 21.7MiB allocated; 39ms collecting garbage
Compiler: Compiled 176 to 99 computations (43.8% saved)

prune1.0ms (0.1%)

Memory

7.1MiB live, 7.1MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	34	2	36
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	35	2	37

Accuracy

100.0%

Counts

37 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(fma.f64 y.re x.im (*.f64 y.im x.re))
▶	59.0%	#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 x.im y.re))

Compiler

Compiled 15 to 15 computations (0% saved)

series9.0ms (0.4%)

Memory

35.6MiB live, 35.6MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	190

Stop Event

1×	iter-limit

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 y.im x.re))
(*.f64 y.im x.re)
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 (* y.im x.re) (*.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.re	@	-inf	((+ (* x.re y.im) (* x.im y.re)) (* x.im y.re) x.im y.re (+ (* y.re x.im) (* y.im x.re)) (* 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.re x.im) (* y.im x.re)) (* 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.re x.im) (* y.im x.re)) (* 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.re x.im) (* y.im x.re)) (* 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.re x.im) (* y.im x.re)) (* y.im x.re) y.im x.re)

rewrite331.0ms (17%)

Memory

-4.4MiB live, 307.8MiB allocated; 97ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	27
0	15	26
1	75	26
2	168	26
3	296	26
4	401	26
5	717	26
6	3397	26
0	8050	26
1	13797	26

Stop Event

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

Counts

8 → 28

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

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

eval3.0ms (0.2%)

Memory: 12.7MiB live, 12.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 180 to 101 computations (43.9% saved)

prune2.0ms (0.1%)

Memory

9.6MiB live, 9.6MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	37	0	37
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	37	2	39

Accuracy

100.0%

Counts

39 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(fma.f64 y.re x.im (*.f64 y.im x.re))
✓	59.0%	#s(approx (+ (* x.re y.im) (* x.im y.re)) (*.f64 x.im y.re))

Compiler

Compiled 29 to 28 computations (3.4% saved)

regimes26.0ms (1.3%)

Memory

-9.7MiB live, 43.1MiB allocated; 18ms 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 y.im x.re))
(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))

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

Calls

7 calls:

17.0ms	y.re
2.0ms	x.im
1.0ms	y.im
1.0ms	x.re
1.0ms	(*.f64 x.re y.im)

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)

regimes8.0ms (0.4%)

Memory

-23.1MiB live, 26.6MiB allocated; 1ms 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:

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

Results

Accuracy	Segments	Branch
59.0%	1	`(*.f64 x.im y.re)`
59.0%	1	`(*.f64 x.re y.im)`
59.0%	1	`(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))`
59.0%	1	`x.re`
59.0%	1	`x.im`
59.0%	1	`y.re`
59.0%	1	`y.im`

Compiler

Compiled 17 to 33 computations (-94.1% saved)

derivations28.0ms (1.4%)

Memory

-7.8MiB live, 39.2MiB allocated; 1ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 11 to 11 computations (0% saved)

preprocess18.0ms (0.9%)

Memory

14.8MiB live, 62.0MiB allocated; 2ms 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%)

sample1.1s (58%)

preprocess27.0ms (1.4%)

series12.0ms (0.6%)

rewrite315.0ms (16.2%)

eval34.0ms (1.7%)

prune1.0ms (0.1%)

series9.0ms (0.4%)

rewrite331.0ms (17%)

eval3.0ms (0.2%)

prune2.0ms (0.1%)

regimes26.0ms (1.3%)

regimes8.0ms (0.4%)

derivations28.0ms (1.4%)

preprocess18.0ms (0.9%)

end0.0ms (0%)

Profiling