Metrics for _divideComplex, imaginary part

analyze26.0ms (0.2%)

Memory

25.4MiB live, 63.7MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
0%	0%	99.8%	0.2%	0%	0%	0%	4
75%	74.9%	25%	0.2%	0%	0%	0%	5
75%	74.9%	25%	0.2%	0%	0%	0%	6
75%	74.9%	25%	0.2%	0%	0%	0%	7
87.5%	87.3%	12.5%	0.2%	0%	0%	0%	8
93.8%	93.6%	6.2%	0.2%	0%	0%	0%	9
93.8%	93.6%	6.2%	0.2%	0%	0%	0%	10
93.8%	93.6%	6.2%	0.2%	0%	0%	0%	11
96.9%	96.7%	3.1%	0.2%	0%	0%	0%	12

Compiler

Compiled 17 to 13 computations (23.5% saved)

sample1.7s (13.2%)

Memory

-194.4MiB live, 1 993.5MiB allocated

Samples

692.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 469.0ms

ival-mult: 339.0ms (72.3% of total)

ival-div: 48.0ms (10.2% of total)

ival-sub: 38.0ms (8.1% of total)

ival-add: 36.0ms (7.7% of total)

ival-true: 6.0ms (1.3% of total)

ival-assert: 3.0ms (0.6% of total)

Bogosity

preprocess271.0ms (2.1%)

Memory

-18.0MiB live, 116.2MiB allocated

Algorithm

1×	egg-herbie

Rules

1 255×	`fma-define`
795×	`fmm-def`
503×	`div-sub`
415×	`distribute-rgt-in`
411×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	70	1024
1	237	992
2	469	992
3	1150	992
4	3393	992
5	5806	992
6	6609	992
7	6718	992
8	6738	992
9	6754	992
10	7700	992

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
(/.f64 (-.f64 (.f64 x.im y.re) (.f64 (neg.f64 x.re) y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
(/.f64 (-.f64 (.f64 (neg.f64 x.im) y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
(/.f64 (-.f64 (.f64 x.im (neg.f64 y.re)) (.f64 x.re y.im)) (+.f64 (.f64 (neg.f64 y.re) (neg.f64 y.re)) (.f64 y.im y.im)))
(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re (neg.f64 y.im))) (+.f64 (.f64 y.re y.re) (.f64 (neg.f64 y.im) (neg.f64 y.im))))
(neg.f64 (/.f64 (-.f64 (.f64 x.im y.re) (.f64 (neg.f64 x.re) y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im))))
(neg.f64 (/.f64 (-.f64 (.f64 (neg.f64 x.im) y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im))))
(neg.f64 (/.f64 (-.f64 (.f64 x.im (neg.f64 y.re)) (.f64 x.re y.im)) (+.f64 (.f64 (neg.f64 y.re) (neg.f64 y.re)) (.f64 y.im y.im))))
(neg.f64 (/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re (neg.f64 y.im))) (+.f64 (.f64 y.re y.re) (.f64 (neg.f64 y.im) (neg.f64 y.im)))))
(/.f64 (-.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
(/.f64 (-.f64 (.f64 x.im x.re) (.f64 y.re y.im)) (+.f64 (.f64 x.re x.re) (.f64 y.im y.im)))
(/.f64 (-.f64 (.f64 x.im y.re) (.f64 y.im x.re)) (+.f64 (.f64 y.re y.re) (.f64 x.re x.re)))
(/.f64 (-.f64 (.f64 y.re x.im) (.f64 x.re y.im)) (+.f64 (.f64 x.im x.im) (.f64 y.im y.im)))
(/.f64 (-.f64 (.f64 y.im y.re) (.f64 x.re x.im)) (+.f64 (.f64 y.re y.re) (.f64 x.im x.im)))
(/.f64 (-.f64 (.f64 x.im y.im) (.f64 x.re y.re)) (+.f64 (.f64 y.im y.im) (.f64 y.re y.re)))

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

explain127.0ms (1%)

Memory

2.1MiB live, 236.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
94	-	-	`(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))`
2	-	-	`(-.f64 (.f64 x.im y.re) (.f64 x.re y.im))`
0	-	-	`(+.f64 (.f64 y.re y.re) (.f64 y.im y.im))`
0	-	-	`(*.f64 y.re y.re)`
0	-	-	`(*.f64 x.re y.im)`
0	-	-	`(*.f64 x.im y.re)`
0	-	-	`(*.f64 y.im y.im)`
0	-	-	`x.re`
0	-	-	`y.re`
0	-	-	`y.im`
0	-	-	`x.im`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))`	o/o	48	0
↳	`(*.f64 x.re y.im)`	overflow	24
↳	`(*.f64 x.im y.re)`	overflow	35
↳	`(-.f64 (.f64 x.im y.re) (.f64 x.re y.im))`	overflow	55
↳	`(*.f64 y.re y.re)`	overflow	77
↳	`(*.f64 y.im y.im)`	overflow	60
↳	`(+.f64 (.f64 y.re y.re) (.f64 y.im y.im))`	overflow	116
`/.f64`	`(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))`	n/o	36	0
↳	`(*.f64 y.re y.re)`	overflow	77
↳	`(*.f64 y.im y.im)`	overflow	60
↳	`(+.f64 (.f64 y.re y.re) (.f64 y.im y.im))`	overflow	116
`/.f64`	`(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))`	o/n	7	0
↳	`(*.f64 x.re y.im)`	overflow	24
↳	`(*.f64 x.im y.re)`	overflow	35
↳	`(-.f64 (.f64 x.im y.re) (.f64 x.re y.im))`	overflow	55
`-.f64`	`(-.f64 (.f64 x.im y.re) (.f64 x.re y.im))`	nan-rescue	2	0
↳	`(*.f64 x.im y.re)`	overflow	35
↳	`(*.f64 x.re y.im)`	overflow	24
`/.f64`	`(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))`	n/u	2	0
↳	`(*.f64 y.re y.re)`	underflow	56
↳	`(*.f64 y.im y.im)`	underflow	56
↳	`(+.f64 (.f64 y.re y.re) (.f64 y.im y.im))`	underflow	14
`/.f64`	`(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))`	u/u	1	0
↳	`(*.f64 x.re y.im)`	underflow	25
↳	`(*.f64 x.im y.re)`	underflow	23
↳	`(-.f64 (.f64 x.im y.re) (.f64 x.re y.im))`	underflow	1
↳	`(*.f64 y.re y.re)`	underflow	56
↳	`(*.f64 y.im y.im)`	underflow	56
↳	`(+.f64 (.f64 y.re y.re) (.f64 y.im y.im))`	underflow	14

Confusion

	Predicted +	Predicted -
+	94	0
-	0	162

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	94	0	0
-	0	0	162

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	162
1	92
2	2

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

43.0ms

512×

valid

Compiler

Compiled 132 to 48 computations (63.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-mult: 15.0ms (66.6% of total)

ival-div: 3.0ms (13.3% of total)

ival-sub: 2.0ms (8.9% of total)

ival-add: 2.0ms (8.9% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory: 0.9MiB live, 0.9MiB allocated
Compiler: Compiled 32 to 16 computations (50% saved)

prune1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.8%	(/.f64 (fma.f64 x.im y.re (.f64 x.re (neg.f64 y.im))) (fma.f64 y.im y.im (.f64 y.re y.re)))
▶	64.7%	(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))

Compiler

Compiled 37 to 21 computations (43.2% saved)

simplify101.0ms (0.8%)

Memory

-5.9MiB live, 32.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Program
✓	cost-diff	(neg.f64 y.im)
✓	cost-diff	(*.f64 x.re (neg.f64 y.im))
✓	cost-diff	(fma.f64 x.im y.re (*.f64 x.re (neg.f64 y.im)))
✓	cost-diff	(/.f64 (fma.f64 x.im y.re (.f64 x.re (neg.f64 y.im))) (fma.f64 y.im y.im (.f64 y.re y.re)))
✓	cost-diff	(*.f64 y.im y.im)
✓	cost-diff	(*.f64 y.re y.re)
✓	cost-diff	(*.f64 x.re y.im)
✓	cost-diff	(*.f64 x.im y.re)

Rules

652×	`fma-define`
499×	`fmm-def`
318×	`times-frac`
116×	`div-sub`
109×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	364
1	45	364
2	68	364
3	108	364
4	183	364
5	313	364
6	597	364
7	1028	364
8	1628	364
9	2630	364
10	3123	364
11	3175	364
12	3235	364
13	3235	364

Stop Event

1×

saturated

Calls

Call 1

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

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

localize54.0ms (0.4%)

Memory

-11.6MiB live, 67.9MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(neg.f64 y.im)
✓	accuracy	100.0%	(fma.f64 y.im y.im (*.f64 y.re y.re))
✓	accuracy	99.6%	(fma.f64 x.im y.re (*.f64 x.re (neg.f64 y.im)))
✓	accuracy	65.1%	(/.f64 (fma.f64 x.im y.re (.f64 x.re (neg.f64 y.im))) (fma.f64 y.im y.im (.f64 y.re y.re)))
✓	accuracy	100.0%	(*.f64 x.im y.re)
✓	accuracy	100.0%	(+.f64 (.f64 y.re y.re) (.f64 y.im y.im))
✓	accuracy	99.3%	(-.f64 (.f64 x.im y.re) (.f64 x.re y.im))
✓	accuracy	65.1%	(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))

Samples

31.0ms

256×

valid

Compiler

Compiled 87 to 18 computations (79.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 8.0ms (47.5% of total)

ival-div: 3.0ms (17.8% of total)

ival-add: 3.0ms (17.8% of total)

ival-sub: 1.0ms (5.9% of total)

ival-neg: 1.0ms (5.9% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series35.0ms (0.3%)

Memory

18.6MiB live, 56.5MiB allocated

Counts

12 → 294

Calls

Call 1

Inputs
#<alt (*.f64 x.im y.re)>
#<alt (*.f64 x.re y.im)>
#<alt (*.f64 y.re y.re)>
#<alt (*.f64 y.im y.im)>
#<alt (/.f64 (fma.f64 x.im y.re (.f64 x.re (neg.f64 y.im))) (fma.f64 y.im y.im (.f64 y.re y.re)))>
#<alt (fma.f64 x.im y.re (*.f64 x.re (neg.f64 y.im)))>
#<alt (*.f64 x.re (neg.f64 y.im))>
#<alt (neg.f64 y.im)>
#<alt (/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))>
#<alt (-.f64 (.f64 x.im y.re) (.f64 x.re y.im))>
#<alt (+.f64 (.f64 y.re y.re) (.f64 y.im y.im))>
#<alt (fma.f64 y.im y.im (*.f64 y.re y.re))>

Outputs
#<alt (pow.f64 y.re #s(literal 2 binary64))>
#<alt (pow.f64 y.re #s(literal 2 binary64))>
#<alt (pow.f64 y.re #s(literal 2 binary64))>
#<alt (pow.f64 y.re #s(literal 2 binary64))>
#<alt (pow.f64 y.re #s(literal 2 binary64))>
#<alt (pow.f64 y.re #s(literal 2 binary64))>
#<alt (pow.f64 y.re #s(literal 2 binary64))>
#<alt (pow.f64 y.re #s(literal 2 binary64))>
#<alt (pow.f64 y.re #s(literal 2 binary64))>
#<alt (pow.f64 y.re #s(literal 2 binary64))>
#<alt (pow.f64 y.re #s(literal 2 binary64))>
#<alt (pow.f64 y.re #s(literal 2 binary64))>
#<alt (pow.f64 y.im #s(literal 2 binary64))>
#<alt (pow.f64 y.im #s(literal 2 binary64))>
#<alt (pow.f64 y.im #s(literal 2 binary64))>
#<alt (pow.f64 y.im #s(literal 2 binary64))>
#<alt (pow.f64 y.im #s(literal 2 binary64))>
#<alt (pow.f64 y.im #s(literal 2 binary64))>
#<alt (pow.f64 y.im #s(literal 2 binary64))>
#<alt (pow.f64 y.im #s(literal 2 binary64))>
#<alt (pow.f64 y.im #s(literal 2 binary64))>
#<alt (pow.f64 y.im #s(literal 2 binary64))>
#<alt (pow.f64 y.im #s(literal 2 binary64))>
#<alt (pow.f64 y.im #s(literal 2 binary64))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (/.f64 (.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (.f64 y.re (+.f64 (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 3 binary64))))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (.f64 y.re (+.f64 (.f64 y.re (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.re) (pow.f64 y.im #s(literal 4 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.im #s(literal 3 binary64)))))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))))>
#<alt (/.f64 x.im y.re)>
#<alt (/.f64 (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) y.re))) y.re)>
#<alt (/.f64 (+.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) y.re)))) y.re)>
#<alt (/.f64 (-.f64 (+.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) y.re)) (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) y.re)>
#<alt (/.f64 x.im y.re)>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.im) (/.f64 (*.f64 x.re y.im) y.re)) y.re))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.im) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 x.re y.im)) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) y.re))) y.re))) y.re))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.im) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 x.re y.im)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) y.re)) (.f64 #s(literal -1 binary64) (.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))) y.re))) y.re))) y.re))>
#<alt (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (.f64 x.im y.re) (.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (.f64 x.im y.re) (.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (.f64 x.im y.re) (.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (/.f64 x.im y.re)>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im y.re))>
#<alt (+.f64 (.f64 y.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.im) (pow.f64 y.re #s(literal 3 binary64)))))) (/.f64 x.im y.re))>
#<alt (+.f64 (.f64 y.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) (.f64 y.im (-.f64 (/.f64 (.f64 x.re y.im) (pow.f64 y.re #s(literal 4 binary64))) (/.f64 x.im (pow.f64 y.re #s(literal 3 binary64))))))) (/.f64 x.im y.re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (.f64 x.im y.re) y.im)) y.im)>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (+.f64 (/.f64 (.f64 x.im y.re) y.im) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))))) y.im)>
#<alt (/.f64 (-.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 (.f64 x.im y.re) y.im))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))))) y.im)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.re (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) y.im))) y.im))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.re (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 x.im y.re) (/.f64 (.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) y.im)) y.im))) y.im))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.re (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) y.im) (.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) y.im)) (.f64 x.im y.re)) y.im))) y.im))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.re y.im))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 x.re y.im)) (*.f64 x.im y.re))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 x.re y.im)) (*.f64 x.im y.re))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 x.re y.im)) (*.f64 x.im y.re))>
#<alt (*.f64 x.im y.re)>
#<alt (.f64 x.im (+.f64 y.re (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) x.im))))>
#<alt (.f64 x.im (+.f64 y.re (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) x.im))))>
#<alt (.f64 x.im (+.f64 y.re (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) x.im))))>
#<alt (*.f64 x.im y.re)>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) y.re) (/.f64 (.f64 x.re y.im) x.im))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) y.re) (/.f64 (.f64 x.re y.im) x.im))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) y.re) (/.f64 (.f64 x.re y.im) x.im))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.re y.im))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 x.re y.im)) (*.f64 x.im y.re))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 x.re y.im)) (*.f64 x.im y.re))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 x.re y.im)) (*.f64 x.im y.re))>
#<alt (*.f64 x.im y.re)>
#<alt (.f64 y.re (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))))>
#<alt (.f64 y.re (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))))>
#<alt (.f64 y.re (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))))>
#<alt (*.f64 x.im y.re)>
#<alt (.f64 #s(literal -1 binary64) (.f64 y.re (+.f64 (.f64 #s(literal -1 binary64) x.im) (/.f64 (.f64 x.re y.im) y.re))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y.re (+.f64 (.f64 #s(literal -1 binary64) x.im) (/.f64 (.f64 x.re y.im) y.re))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y.re (+.f64 (.f64 #s(literal -1 binary64) x.im) (/.f64 (.f64 x.re y.im) y.re))))>
#<alt (*.f64 x.im y.re)>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 x.re y.im)) (*.f64 x.im y.re))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 x.re y.im)) (*.f64 x.im y.re))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 x.re y.im)) (*.f64 x.im y.re))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.re y.im))>
#<alt (.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) y.im) (/.f64 (*.f64 x.im y.re) x.re)))>
#<alt (.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) y.im) (/.f64 (*.f64 x.im y.re) x.re)))>
#<alt (.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) y.im) (/.f64 (*.f64 x.im y.re) x.re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.re y.im))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.re (+.f64 y.im (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.re) x.re)))))>
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#<alt (.f64 y.im (-.f64 (/.f64 (.f64 x.im y.re) y.im) x.re))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.re y.im))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y.im (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.re) y.im)) (*.f64 #s(literal -1 binary64) x.re))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y.im (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.re) y.im)) (*.f64 #s(literal -1 binary64) x.re))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y.im (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.re) y.im)) (*.f64 #s(literal -1 binary64) x.re))))>
#<alt (pow.f64 y.im #s(literal 2 binary64))>
#<alt (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (pow.f64 y.re #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (pow.f64 y.re #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (pow.f64 y.re #s(literal 2 binary64))>
#<alt (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (pow.f64 y.im #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))>
#<alt (pow.f64 y.im #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))>
#<alt (pow.f64 y.re #s(literal 2 binary64))>
#<alt (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (pow.f64 y.im #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))>
#<alt (pow.f64 y.im #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))>
#<alt (pow.f64 y.im #s(literal 2 binary64))>
#<alt (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (pow.f64 y.re #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (pow.f64 y.re #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>

Calls

87 calls:

Time	Variable		Expression
3.0ms	x.im	@	(/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im)))
2.0ms	y.im	@	(/ (+ (* x.im y.re) (* x.re (neg y.im))) (+ (* y.im y.im) (* y.re y.re)))
1.0ms	x.im	@	(/ (+ (* x.im y.re) (* x.re (neg y.im))) (+ (* y.im y.im) (* y.re y.re)))
1.0ms	x.re	@	(/ (+ (* x.im y.re) (* x.re (neg y.im))) (+ (* y.im y.im) (* y.re y.re)))
1.0ms	y.re	@	(* y.re y.re)

rewrite320.0ms (2.5%)

Memory

2.3MiB live, 362.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

920×	`log1p-expm1-u`
920×	`expm1-log1p-u`
297×	`fmm-def`
139×	`add-exp-log`
139×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	297
1	385	257
2	4624	257

Stop Event

1×	node limit

Counts

12 → 435

Calls

Call 1

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

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.im y.re))) #s(literal 1 binary64))
(pow.f64 (*.f64 x.im y.re) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.im y.re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.im y.re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.im y.re)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x.im y.re) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x.im) y.re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im y.re))))
(cbrt.f64 (pow.f64 (*.f64 x.im y.re) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x.im y.re)))
(log1p.f64 (expm1.f64 (*.f64 x.im y.re)))
(exp.f64 (log.f64 (*.f64 x.im y.re)))
(exp.f64 (.f64 (log.f64 (.f64 x.im y.re)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x.re y.im))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.re y.im))) #s(literal 1 binary64))
(pow.f64 (*.f64 x.re y.im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.re y.im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.re y.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.re y.im)) #s(literal 2 binary64))
(neg.f64 (*.f64 x.re y.im))
(sqrt.f64 (pow.f64 (*.f64 x.re y.im) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x.re) y.im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.re y.im))))
(cbrt.f64 (pow.f64 (*.f64 x.re y.im) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x.re y.im)))
(log1p.f64 (expm1.f64 (*.f64 x.re y.im)))
(exp.f64 (log.f64 (*.f64 x.re y.im)))
(exp.f64 (.f64 (log.f64 (.f64 x.re y.im)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 y.re #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 (pow.f64 y.re #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 y.re #s(literal 6 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 y.re #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 y.re #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y.re #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 y.re #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 y.re #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 y.re #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y.re)))
(exp.f64 (*.f64 (log.f64 y.re) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 y.re)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 y.im #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 (pow.f64 y.im #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 y.im #s(literal 6 binary64)) #s(literal 1/3 binary64))
(neg.f64 (pow.f64 y.im #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 y.im #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 y.im #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 y.im #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 y.im #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 y.im #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 y.im #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y.im)))
(exp.f64 (*.f64 (log.f64 y.im) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 y.im)) #s(literal 1 binary64)))
(+.f64 (.f64 x.im (/.f64 y.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (neg.f64 (.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(-.f64 (.f64 x.im (/.f64 y.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))) #s(literal 1 binary64))
(.f64 (fma.f64 x.im y.re (.f64 x.re y.im)) (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(.f64 (/.f64 (fma.f64 x.im y.re (.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im y.re (.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x.im y.re (.f64 x.re y.im))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x.im y.re (.f64 x.re y.im))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (fma.f64 x.im y.re (.f64 x.re y.im))) (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(.f64 (cbrt.f64 (/.f64 (fma.f64 x.im y.re (.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x.im y.re (.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (fma.f64 x.im y.re (.f64 x.re y.im))) (/.f64 (sqrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(.f64 (sqrt.f64 (fma.f64 x.im y.re (.f64 x.re y.im))) (.f64 (sqrt.f64 (fma.f64 x.im y.re (.f64 x.re y.im))) (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 x.im y.re (.f64 x.re y.im))) (hypot.f64 y.re y.im)) (/.f64 (sqrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (hypot.f64 y.re y.im)))
(.f64 (neg.f64 (fma.f64 x.im y.re (.f64 x.re y.im))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (fma.f64 x.im y.re (.f64 x.re y.im)))
(.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))))) (/.f64 (fma.f64 x.im y.re (.f64 x.re y.im)) (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.im y.re (.f64 x.re y.im)) (hypot.f64 y.re y.im)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x.im y.re (.f64 x.re y.im))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x.im y.re (.f64 x.re y.im))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))))) (cbrt.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x.im y.re (.f64 x.re y.im))) #s(literal 2 binary64)) (hypot.f64 y.re y.im)) (/.f64 (cbrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (hypot.f64 y.re y.im)))
(.f64 (/.f64 (sqrt.f64 (fma.f64 x.im y.re (.f64 x.re y.im))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 x.im y.re (.f64 x.re y.im))) (cbrt.f64 (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))))) (/.f64 (sqrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(.f64 (/.f64 (fma.f64 x.im y.re (.f64 x.re y.im)) (+.f64 (pow.f64 y.re #s(literal 6 binary64)) (pow.f64 y.im #s(literal 6 binary64)))) (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (-.f64 (pow.f64 y.im #s(literal 4 binary64)) (pow.f64 (*.f64 y.re y.im) #s(literal 2 binary64)))))
(.f64 (/.f64 (fma.f64 x.im y.re (.f64 x.re y.im)) (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64)))) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(pow.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 x.im y.re (*.f64 x.re y.im))) (hypot.f64 y.re y.im)) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (fma.f64 x.im y.re (*.f64 x.re y.im))) #s(literal -1 binary64))
(neg.f64 (/.f64 (fma.f64 x.im y.re (*.f64 x.re y.im)) (neg.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
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(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 y.re #s(literal 6 binary64)) (pow.f64 y.im #s(literal 6 binary64))) (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (-.f64 (pow.f64 y.im #s(literal 4 binary64)) (pow.f64 (*.f64 y.re y.im) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 y.re #s(literal 6 binary64)) (pow.f64 y.im #s(literal 6 binary64))) (+.f64 (pow.f64 y.im #s(literal 4 binary64)) (-.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 (*.f64 y.re y.im) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 y.re #s(literal 6 binary64)) (pow.f64 y.im #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (-.f64 (pow.f64 y.im #s(literal 4 binary64)) (pow.f64 (*.f64 y.re y.im) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64)))) (neg.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 y.re #s(literal 6 binary64)) (pow.f64 y.im #s(literal 6 binary64))) (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (+.f64 (pow.f64 y.im #s(literal 4 binary64)) (pow.f64 (*.f64 y.re y.im) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y.im #s(literal 4 binary64)) (pow.f64 y.re #s(literal 4 binary64))) (-.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))
(sqrt.f64 (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(log.f64 (/.f64 (exp.f64 (pow.f64 y.re #s(literal 2 binary64))) (exp.f64 (pow.f64 y.im #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 1 binary64)))

simplify460.0ms (3.5%)

Memory

19.8MiB live, 568.3MiB allocated

Algorithm

1×	egg-herbie

Rules

397×	`times-frac`
338×	`associate-r`
334×	`fma-define`
310×	`associate-l`
303×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	739	33774
1	1805	31639
2	7090	31615

Stop Event

1×	node limit

Counts

729 → 471

Calls

Call 1

Inputs
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (/.f64 (.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (.f64 y.re (+.f64 (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 3 binary64))))))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (.f64 y.re (+.f64 (.f64 y.re (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.re) (pow.f64 y.im #s(literal 4 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.im #s(literal 3 binary64)))))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))))
(/.f64 x.im y.re)
(/.f64 (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) y.re))) y.re)
(/.f64 (+.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) y.re)))) y.re)
(/.f64 (-.f64 (+.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) y.re)) (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) y.re)
(/.f64 x.im y.re)
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.im) (/.f64 (*.f64 x.re y.im) y.re)) y.re))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.im) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 x.re y.im)) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) y.re))) y.re))) y.re))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.im) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 x.re y.im)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) y.re)) (.f64 #s(literal -1 binary64) (.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))) y.re))) y.re))) y.re))
(/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (.f64 x.im y.re) (.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (.f64 x.im y.re) (.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (.f64 x.im y.re) (.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(/.f64 x.im y.re)
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im y.re))
(+.f64 (.f64 y.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.im) (pow.f64 y.re #s(literal 3 binary64)))))) (/.f64 x.im y.re))
(+.f64 (.f64 y.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) (.f64 y.im (-.f64 (/.f64 (.f64 x.re y.im) (pow.f64 y.re #s(literal 4 binary64))) (/.f64 x.im (pow.f64 y.re #s(literal 3 binary64))))))) (/.f64 x.im y.re))
(*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))
(/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (.f64 x.im y.re) y.im)) y.im)
(/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (+.f64 (/.f64 (.f64 x.im y.re) y.im) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))))) y.im)
(/.f64 (-.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 (.f64 x.im y.re) y.im))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))))) y.im)
(*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.re (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) y.im))) y.im))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.re (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 x.im y.re) (/.f64 (.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) y.im)) y.im))) y.im))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.re (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) y.im) (.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) y.im)) (.f64 x.im y.re)) y.im))) y.im))
(.f64 #s(literal -1 binary64) (.f64 x.re y.im))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 x.re y.im)) (*.f64 x.im y.re))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 x.re y.im)) (*.f64 x.im y.re))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 x.re y.im)) (*.f64 x.im y.re))
(*.f64 x.im y.re)
(.f64 x.im (+.f64 y.re (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) x.im))))
(.f64 x.im (+.f64 y.re (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) x.im))))
(.f64 x.im (+.f64 y.re (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) x.im))))
(*.f64 x.im y.re)
(.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) y.re) (/.f64 (.f64 x.re y.im) x.im))))
(.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) y.re) (/.f64 (.f64 x.re y.im) x.im))))
(.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) y.re) (/.f64 (.f64 x.re y.im) x.im))))
(.f64 #s(literal -1 binary64) (.f64 x.re y.im))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 x.re y.im)) (*.f64 x.im y.re))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 x.re y.im)) (*.f64 x.im y.re))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 x.re y.im)) (*.f64 x.im y.re))
(*.f64 x.im y.re)
(.f64 y.re (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))))
(.f64 y.re (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))))
(.f64 y.re (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) y.re))))
(*.f64 x.im y.re)
(.f64 #s(literal -1 binary64) (.f64 y.re (+.f64 (.f64 #s(literal -1 binary64) x.im) (/.f64 (.f64 x.re y.im) y.re))))
(.f64 #s(literal -1 binary64) (.f64 y.re (+.f64 (.f64 #s(literal -1 binary64) x.im) (/.f64 (.f64 x.re y.im) y.re))))
(.f64 #s(literal -1 binary64) (.f64 y.re (+.f64 (.f64 #s(literal -1 binary64) x.im) (/.f64 (.f64 x.re y.im) y.re))))
(*.f64 x.im y.re)
(+.f64 (.f64 #s(literal -1 binary64) (.f64 x.re y.im)) (*.f64 x.im y.re))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 x.re y.im)) (*.f64 x.im y.re))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 x.re y.im)) (*.f64 x.im y.re))
(.f64 #s(literal -1 binary64) (.f64 x.re y.im))
(.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) y.im) (/.f64 (*.f64 x.im y.re) x.re)))
(.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) y.im) (/.f64 (*.f64 x.im y.re) x.re)))
(.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) y.im) (/.f64 (*.f64 x.im y.re) x.re)))
(.f64 #s(literal -1 binary64) (.f64 x.re y.im))
(.f64 #s(literal -1 binary64) (.f64 x.re (+.f64 y.im (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.re) x.re)))))
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(log.f64 (exp.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(log.f64 (/.f64 (exp.f64 (pow.f64 y.re #s(literal 2 binary64))) (exp.f64 (pow.f64 y.im #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 1 binary64)))

Outputs
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.re #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(pow.f64 y.im #s(literal 2 binary64))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(/.f64 (*.f64 (neg.f64 x.re) y.im) (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64))))
(/.f64 (*.f64 y.im (neg.f64 x.re)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (.f64 x.re (/.f64 y.im (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64))))) (.f64 x.im (/.f64 y.re (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64))))))
(-.f64 (.f64 y.re (/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (.f64 y.im (/.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (.f64 x.re (/.f64 y.im (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64))))) (.f64 x.im (/.f64 y.re (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64))))))
(-.f64 (.f64 y.re (/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (.f64 y.im (/.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (.f64 x.re (/.f64 y.im (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64))))) (.f64 x.im (/.f64 y.re (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64))))))
(-.f64 (.f64 y.re (/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (.f64 y.im (/.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 x.im (/.f64 y.re (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64)))))
(*.f64 y.re (/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(.f64 x.im (fma.f64 #s(literal -1 binary64) (.f64 x.re (/.f64 y.im (*.f64 (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64))) x.im))) (/.f64 y.re (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64))))))
(.f64 x.im (-.f64 (/.f64 y.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (.f64 (/.f64 y.im x.im) (/.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(.f64 x.im (fma.f64 #s(literal -1 binary64) (.f64 x.re (/.f64 y.im (*.f64 (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64))) x.im))) (/.f64 y.re (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64))))))
(.f64 x.im (-.f64 (/.f64 y.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (.f64 (/.f64 y.im x.im) (/.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(.f64 x.im (fma.f64 #s(literal -1 binary64) (.f64 x.re (/.f64 y.im (*.f64 (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64))) x.im))) (/.f64 y.re (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64))))))
(.f64 x.im (-.f64 (/.f64 y.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (.f64 (/.f64 y.im x.im) (/.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 x.im (/.f64 y.re (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64)))))
(*.f64 y.re (/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(.f64 (neg.f64 x.im) (fma.f64 #s(literal -1 binary64) (/.f64 y.re (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64)))) (.f64 x.re (/.f64 y.im (*.f64 (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64))) x.im)))))
(.f64 x.im (neg.f64 (-.f64 (.f64 (/.f64 y.im x.im) (/.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (/.f64 y.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(.f64 (neg.f64 x.im) (fma.f64 #s(literal -1 binary64) (/.f64 y.re (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64)))) (.f64 x.re (/.f64 y.im (*.f64 (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64))) x.im)))))
(.f64 x.im (neg.f64 (-.f64 (.f64 (/.f64 y.im x.im) (/.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (/.f64 y.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(.f64 (neg.f64 x.im) (fma.f64 #s(literal -1 binary64) (/.f64 y.re (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64)))) (.f64 x.re (/.f64 y.im (*.f64 (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64))) x.im)))))
(.f64 x.im (neg.f64 (-.f64 (.f64 (/.f64 y.im x.im) (/.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (/.f64 y.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))
(/.f64 (neg.f64 x.re) y.im)
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (/.f64 (.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 x.re y.im) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (.f64 y.re (+.f64 (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 3 binary64))))))
(fma.f64 #s(literal -1 binary64) (/.f64 x.re y.im) (.f64 y.re (+.f64 (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (.f64 x.re (/.f64 y.re (pow.f64 y.im #s(literal 3 binary64)))))))
(fma.f64 y.re (fma.f64 x.re (/.f64 y.re (pow.f64 y.im #s(literal 3 binary64))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 (neg.f64 x.re) y.im))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (.f64 y.re (+.f64 (.f64 y.re (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.re) (pow.f64 y.im #s(literal 4 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.im #s(literal 3 binary64)))))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))))
(fma.f64 #s(literal -1 binary64) (/.f64 x.re y.im) (.f64 y.re (fma.f64 y.re (.f64 #s(literal -1 binary64) (-.f64 (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 x.re (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))))
(fma.f64 y.re (fma.f64 y.re (fma.f64 #s(literal -1 binary64) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 x.re (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 (neg.f64 x.re) y.im))
(/.f64 x.im y.re)
(/.f64 (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) y.re))) y.re)
(/.f64 (+.f64 x.im (/.f64 (*.f64 (neg.f64 x.re) y.im) y.re)) y.re)
(/.f64 (-.f64 x.im (/.f64 (*.f64 y.im x.re) y.re)) y.re)
(/.f64 (+.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) y.re)))) y.re)
(/.f64 (+.f64 x.im (.f64 #s(literal -1 binary64) (+.f64 (.f64 x.im (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 x.re (/.f64 y.im y.re))))) y.re)
(/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 x.im (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))) (/.f64 (*.f64 y.im x.re) y.re)) x.im) y.re)
(/.f64 (-.f64 (+.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) y.re)) (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) y.re)
(/.f64 (+.f64 x.im (-.f64 (fma.f64 #s(literal -1 binary64) (.f64 x.re (/.f64 y.im y.re)) (.f64 x.re (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 3 binary64))))) (*.f64 x.im (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) y.re)
(-.f64 (/.f64 (+.f64 (-.f64 x.im (/.f64 (.f64 y.im x.re) y.re)) (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 3 binary64)))) y.re) (/.f64 (*.f64 (pow.f64 y.im #s(literal 2 binary64)) x.im) (pow.f64 y.re #s(literal 3 binary64))))
(/.f64 (+.f64 x.im (-.f64 (fma.f64 x.re (pow.f64 (/.f64 y.im y.re) #s(literal 3 binary64)) (/.f64 (.f64 y.im (neg.f64 x.re)) y.re)) (.f64 (pow.f64 y.im #s(literal 2 binary64)) (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))))) y.re)
(/.f64 x.im y.re)
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.im) (/.f64 (*.f64 x.re y.im) y.re)) y.re))
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x.im (*.f64 x.re (/.f64 y.im y.re))) y.re))
(/.f64 (-.f64 (/.f64 (*.f64 y.im x.re) y.re) x.im) (neg.f64 y.re))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.im) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 x.re y.im)) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) y.re))) y.re))) y.re))
(neg.f64 (/.f64 (.f64 #s(literal -1 binary64) (+.f64 x.im (/.f64 (.f64 #s(literal -1 binary64) (+.f64 (.f64 y.im x.re) (.f64 x.im (/.f64 (pow.f64 y.im #s(literal 2 binary64)) y.re)))) y.re))) y.re))
(/.f64 (-.f64 (/.f64 (.f64 #s(literal 1 binary64) (fma.f64 y.im x.re (.f64 (pow.f64 y.im #s(literal 2 binary64)) (/.f64 x.im y.re)))) y.re) x.im) (neg.f64 y.re))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.im) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 x.re y.im)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) y.re)) (.f64 #s(literal -1 binary64) (.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))) y.re))) y.re))) y.re))
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x.im (neg.f64 (/.f64 (.f64 #s(literal -1 binary64) (+.f64 (.f64 y.im x.re) (/.f64 (.f64 #s(literal -1 binary64) (-.f64 (.f64 x.re (/.f64 (pow.f64 y.im #s(literal 3 binary64)) y.re)) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) x.im))) y.re))) y.re))) y.re))
(/.f64 (-.f64 (/.f64 (.f64 #s(literal 1 binary64) (fma.f64 y.im x.re (/.f64 (fma.f64 #s(literal -1 binary64) (.f64 x.re (/.f64 (pow.f64 y.im #s(literal 3 binary64)) y.re)) (*.f64 (pow.f64 y.im #s(literal 2 binary64)) x.im)) y.re))) y.re) x.im) (neg.f64 y.re))
(/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 x.im (/.f64 y.re (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64)))))
(*.f64 y.re (/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (.f64 x.re (/.f64 y.im (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64))))) (.f64 x.im (/.f64 y.re (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64))))))
(-.f64 (.f64 y.re (/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (.f64 y.im (/.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (.f64 x.re (/.f64 y.im (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64))))) (.f64 x.im (/.f64 y.re (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64))))))
(-.f64 (.f64 y.re (/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (.f64 y.im (/.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (.f64 x.re (/.f64 y.im (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64))))) (.f64 x.im (/.f64 y.re (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64))))))
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(pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 3 binary64))
(fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))
(pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))
(fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64)))
(sqrt.f64 (+.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))))
(sqrt.f64 (+.f64 (pow.f64 y.im #s(literal 4 binary64)) (pow.f64 y.re #s(literal 4 binary64))))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))
(log.f64 (/.f64 (exp.f64 (pow.f64 y.re #s(literal 2 binary64))) (exp.f64 (pow.f64 y.im #s(literal 2 binary64)))))
(-.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 3 binary64)))
(fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))
(exp.f64 (log.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))

eval67.0ms (0.5%)

Memory: -16.6MiB live, 130.6MiB allocated
Compiler: Compiled 10 196 to 1 648 computations (83.8% saved)

prune168.0ms (1.3%)

Memory

22.0MiB live, 186.7MiB allocated

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	476	9	485
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	477	10	487

Accuracy

100.0%

Counts

487 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	83.1%	(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
	48.9%	(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
✓	64.7%	(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
▶	59.4%	(/.f64 (-.f64 x.im (/.f64 (*.f64 y.im x.re) y.re)) y.re)
▶	53.2%	(/.f64 (.f64 x.re (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im)) (fma.f64 y.im y.im (*.f64 y.re y.re)))
	39.3%	(/.f64 (neg.f64 x.re) y.im)
▶	47.0%	(/.f64 x.im y.re)
	47.5%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.im y.re (.f64 x.re y.im)) (hypot.f64 y.re y.im)))
	61.0%	(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x.im (*.f64 x.re (/.f64 y.im y.re))) y.re))
▶	50.2%	(neg.f64 (/.f64 (+.f64 x.re (neg.f64 (*.f64 x.im (/.f64 y.re y.im)))) y.im))

Compiler

Compiled 291 to 175 computations (39.9% saved)

simplify94.0ms (0.7%)

Memory

1.4MiB live, 40.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 y.re x.re)
✓	cost-diff	0	(*.f64 x.im (/.f64 y.re x.re))
✓	cost-diff	0	(-.f64 (*.f64 x.im (/.f64 y.re x.re)) y.im)
✓	cost-diff	128	(.f64 x.re (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im))
✓	cost-diff	0	(neg.f64 (*.f64 x.im (/.f64 y.re y.im)))
✓	cost-diff	64	(+.f64 x.re (neg.f64 (*.f64 x.im (/.f64 y.re y.im))))
✓	cost-diff	64	(/.f64 (+.f64 x.re (neg.f64 (*.f64 x.im (/.f64 y.re y.im)))) y.im)
✓	cost-diff	128	(neg.f64 (/.f64 (+.f64 x.re (neg.f64 (*.f64 x.im (/.f64 y.re y.im)))) y.im))
✓	cost-diff	-6336	(-.f64 x.im (/.f64 (*.f64 y.im x.re) y.re))
✓	cost-diff	-6336	(/.f64 (-.f64 x.im (/.f64 (*.f64 y.im x.re) y.re)) y.re)
✓	cost-diff	0	(*.f64 y.im x.re)
✓	cost-diff	0	(/.f64 (*.f64 y.im x.re) y.re)
✓	cost-diff	0	(/.f64 x.im y.re)
✓	cost-diff	0	(/.f64 x.im (hypot.f64 y.re y.im))
✓	cost-diff	0	(hypot.f64 y.re y.im)
✓	cost-diff	0	(/.f64 y.re (hypot.f64 y.re y.im))
✓	cost-diff	19520	(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))

Rules

606×	`times-frac`
541×	`fma-define`
368×	`associate-/r*`
340×	`distribute-lft-neg-in`
314×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	40	870
1	90	870
2	210	866
3	527	842
4	1431	785
5	4994	785
6	7354	785

Stop Event

1×	node limit

Calls

Call 1

Inputs
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(/.f64 y.re (hypot.f64 y.re y.im))
y.re
(hypot.f64 y.re y.im)
y.im
(/.f64 x.im (hypot.f64 y.re y.im))
x.im
(neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
x.re
(/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 x.im y.re)
x.im
y.re
(/.f64 (-.f64 x.im (/.f64 (*.f64 y.im x.re) y.re)) y.re)
(-.f64 x.im (/.f64 (*.f64 y.im x.re) y.re))
x.im
(/.f64 (*.f64 y.im x.re) y.re)
(*.f64 y.im x.re)
y.im
x.re
y.re
(neg.f64 (/.f64 (+.f64 x.re (neg.f64 (*.f64 x.im (/.f64 y.re y.im)))) y.im))
(/.f64 (+.f64 x.re (neg.f64 (*.f64 x.im (/.f64 y.re y.im)))) y.im)
(+.f64 x.re (neg.f64 (*.f64 x.im (/.f64 y.re y.im))))
x.re
(neg.f64 (*.f64 x.im (/.f64 y.re y.im)))
(*.f64 x.im (/.f64 y.re y.im))
x.im
(/.f64 y.re y.im)
y.re
y.im
(/.f64 (.f64 x.re (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im)) (fma.f64 y.im y.im (*.f64 y.re y.re)))
(.f64 x.re (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im))
x.re
(-.f64 (*.f64 x.im (/.f64 y.re x.re)) y.im)
(*.f64 x.im (/.f64 y.re x.re))
x.im
(/.f64 y.re x.re)
y.re
y.im
(fma.f64 y.im y.im (*.f64 y.re y.re))
(*.f64 y.re y.re)

Outputs
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (*.f64 (neg.f64 x.re) (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (*.f64 (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (neg.f64 x.re)))
(-.f64 (.f64 y.re (/.f64 (/.f64 x.im (hypot.f64 y.re y.im)) (hypot.f64 y.re y.im))) (.f64 y.im (/.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(-.f64 (/.f64 (.f64 y.re x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(/.f64 y.re (hypot.f64 y.re y.im))
y.re
(hypot.f64 y.re y.im)
y.im
(/.f64 x.im (hypot.f64 y.re y.im))
x.im
(neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(*.f64 (neg.f64 x.re) (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (neg.f64 x.re))
(*.f64 y.im (/.f64 x.re (neg.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(*.f64 y.im (/.f64 (neg.f64 x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(*.f64 y.im (/.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(/.f64 (*.f64 y.im x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
x.re
(/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 x.im y.re)
x.im
y.re
(/.f64 (-.f64 x.im (/.f64 (*.f64 y.im x.re) y.re)) y.re)
(/.f64 (fma.f64 y.im (/.f64 x.re (neg.f64 y.re)) x.im) y.re)
(/.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) y.re)
(/.f64 (fma.f64 y.im (neg.f64 (/.f64 x.re y.re)) x.im) y.re)
(-.f64 x.im (/.f64 (*.f64 y.im x.re) y.re))
(fma.f64 y.im (/.f64 x.re (neg.f64 y.re)) x.im)
(-.f64 x.im (*.f64 y.im (/.f64 x.re y.re)))
(fma.f64 y.im (neg.f64 (/.f64 x.re y.re)) x.im)
x.im
(/.f64 (*.f64 y.im x.re) y.re)
(*.f64 y.im (/.f64 x.re y.re))
(*.f64 y.im x.re)
y.im
x.re
y.re
(neg.f64 (/.f64 (+.f64 x.re (neg.f64 (*.f64 x.im (/.f64 y.re y.im)))) y.im))
(/.f64 (-.f64 x.re (*.f64 x.im (/.f64 y.re y.im))) (neg.f64 y.im))
(/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)
(/.f64 (-.f64 (/.f64 (*.f64 y.re x.im) y.im) x.re) y.im)
(/.f64 (+.f64 x.re (neg.f64 (*.f64 x.im (/.f64 y.re y.im)))) y.im)
(/.f64 (-.f64 x.re (*.f64 x.im (/.f64 y.re y.im))) y.im)
(/.f64 (-.f64 x.re (/.f64 (*.f64 y.re x.im) y.im)) y.im)
(+.f64 x.re (neg.f64 (*.f64 x.im (/.f64 y.re y.im))))
(-.f64 x.re (*.f64 x.im (/.f64 y.re y.im)))
(-.f64 x.re (/.f64 (*.f64 y.re x.im) y.im))
x.re
(neg.f64 (*.f64 x.im (/.f64 y.re y.im)))
(*.f64 (neg.f64 x.im) (/.f64 y.re y.im))
(*.f64 (/.f64 y.re y.im) (neg.f64 x.im))
(*.f64 x.im (/.f64 y.re (neg.f64 y.im)))
(*.f64 y.re (/.f64 x.im (neg.f64 y.im)))
(*.f64 x.im (/.f64 y.re y.im))
(/.f64 (*.f64 y.re x.im) y.im)
x.im
(/.f64 y.re y.im)
y.re
y.im
(/.f64 (.f64 x.re (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im)) (fma.f64 y.im y.im (*.f64 y.re y.re)))
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (*.f64 (neg.f64 x.re) (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (*.f64 (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (neg.f64 x.re)))
(-.f64 (.f64 y.re (/.f64 (/.f64 x.im (hypot.f64 y.re y.im)) (hypot.f64 y.re y.im))) (.f64 y.im (/.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(-.f64 (/.f64 (.f64 y.re x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(.f64 x.re (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im))
(.f64 x.re (-.f64 (/.f64 (.f64 x.im y.re) x.re) y.im))
(.f64 x.re (-.f64 (/.f64 (.f64 y.re x.im) x.re) y.im))
(.f64 x.re (-.f64 (.f64 y.re (/.f64 x.im x.re)) y.im))
(-.f64 (.f64 y.re x.im) (.f64 y.im x.re))
x.re
(-.f64 (*.f64 x.im (/.f64 y.re x.re)) y.im)
(-.f64 (/.f64 (*.f64 x.im y.re) x.re) y.im)
(-.f64 (/.f64 (*.f64 y.re x.im) x.re) y.im)
(-.f64 (*.f64 y.re (/.f64 x.im x.re)) y.im)
(*.f64 x.im (/.f64 y.re x.re))
(/.f64 (*.f64 x.im y.re) x.re)
(/.f64 (*.f64 y.re x.im) x.re)
(*.f64 y.re (/.f64 x.im x.re))
x.im
(/.f64 y.re x.re)
y.re
y.im
(fma.f64 y.im y.im (*.f64 y.re y.re))
(pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))
(*.f64 y.re y.re)

localize168.0ms (1.3%)

Memory

-22.8MiB live, 231.3MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 (*.f64 x.im (/.f64 y.re x.re)) y.im)
✓	accuracy	90.6%	(.f64 x.re (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im))
✓	accuracy	90.4%	(*.f64 x.im (/.f64 y.re x.re))
✓	accuracy	65.1%	(/.f64 (.f64 x.re (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im)) (fma.f64 y.im y.im (*.f64 y.re y.re)))
✓	accuracy	100.0%	(neg.f64 (*.f64 x.im (/.f64 y.re y.im)))
✓	accuracy	100.0%	(+.f64 x.re (neg.f64 (*.f64 x.im (/.f64 y.re y.im))))
✓	accuracy	98.8%	(/.f64 (+.f64 x.re (neg.f64 (*.f64 x.im (/.f64 y.re y.im)))) y.im)
✓	accuracy	95.2%	(*.f64 x.im (/.f64 y.re y.im))
✓	accuracy	100.0%	(-.f64 x.im (/.f64 (*.f64 y.im x.re) y.re))
✓	accuracy	100.0%	(*.f64 y.im x.re)
✓	accuracy	98.1%	(/.f64 (-.f64 x.im (/.f64 (*.f64 y.im x.re) y.re)) y.re)
✓	accuracy	94.7%	(/.f64 (*.f64 y.im x.re) y.re)
✓	accuracy	100.0%	(/.f64 x.im y.re)
✓	accuracy	100.0%	(pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))
✓	accuracy	98.4%	(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
✓	accuracy	96.2%	(*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
✓	accuracy	71.7%	(/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))

Samples

126.0ms

256×

valid

Compiler

Compiled 205 to 35 computations (82.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-div: 18.0ms (37.5% of total)

ival-mult: 12.0ms (25% of total)

ival-hypot: 5.0ms (10.4% of total)

ival-neg: 5.0ms (10.4% of total)

ival-add: 3.0ms (6.3% of total)

ival-sub: 2.0ms (4.2% of total)

ival-pow2: 2.0ms (4.2% of total)

ival-assert: 0.0ms (0% of total)

...in/eval/compile.rkt:76:19: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series189.0ms (1.4%)

Memory

-4.8MiB live, 230.3MiB allocated

Counts

22 → 768

Calls

Call 1

Inputs
#<alt (fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))>
#<alt (/.f64 y.re (hypot.f64 y.re y.im))>
#<alt (hypot.f64 y.re y.im)>
#<alt (/.f64 x.im (hypot.f64 y.re y.im))>
#<alt (/.f64 x.im y.re)>
#<alt (/.f64 (*.f64 y.im x.re) y.re)>
#<alt (*.f64 y.im x.re)>
#<alt (/.f64 (-.f64 x.im (/.f64 (*.f64 y.im x.re) y.re)) y.re)>
#<alt (-.f64 x.im (/.f64 (*.f64 y.im x.re) y.re))>
#<alt (neg.f64 (/.f64 (+.f64 x.re (neg.f64 (*.f64 x.im (/.f64 y.re y.im)))) y.im))>
#<alt (/.f64 (+.f64 x.re (neg.f64 (*.f64 x.im (/.f64 y.re y.im)))) y.im)>
#<alt (+.f64 x.re (neg.f64 (*.f64 x.im (/.f64 y.re y.im))))>
#<alt (neg.f64 (*.f64 x.im (/.f64 y.re y.im)))>
#<alt (.f64 x.re (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im))>
#<alt (-.f64 (*.f64 x.im (/.f64 y.re x.re)) y.im)>
#<alt (*.f64 x.im (/.f64 y.re x.re))>
#<alt (/.f64 y.re x.re)>
#<alt (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))>
#<alt (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))>
#<alt (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))>
#<alt (*.f64 x.im (/.f64 y.re y.im))>
#<alt (/.f64 (.f64 x.re (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im)) (fma.f64 y.im y.im (*.f64 y.re y.re)))>

Outputs
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))>
#<alt (-.f64 (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64))) (/.f64 x.re y.im))>
#<alt (-.f64 (.f64 y.re (+.f64 (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (/.f64 (.f64 x.re y.re) (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.re y.im))>
#<alt (-.f64 (.f64 y.re (+.f64 (.f64 y.re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.re) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 x.re (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 x.re y.im))>
#<alt (/.f64 x.im y.re)>
#<alt (/.f64 (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) y.re))) y.re)>
#<alt (/.f64 (-.f64 (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.re y.im) y.re)) y.re)>
#<alt (/.f64 (-.f64 (+.f64 x.im (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 3 binary64)))) (+.f64 (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64))) (/.f64 (*.f64 x.re y.im) y.re))) y.re)>
#<alt (/.f64 x.im y.re)>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.im) (/.f64 (*.f64 x.re y.im) y.re)) y.re))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.im) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) y.re)) (.f64 x.re y.im)) y.re))) y.re))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.im) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) y.re)) (.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))) y.re)) (.f64 x.re y.im)) y.re))) y.re))>
#<alt (/.f64 x.im y.re)>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im y.re))>
#<alt (+.f64 (.f64 y.im (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 x.im y.re))>
#<alt (+.f64 (.f64 y.im (-.f64 (.f64 y.im (-.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 4 binary64))) (/.f64 x.im (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 x.im y.re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))>
#<alt (/.f64 (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re) y.im)>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 (.f64 x.im y.re) y.im) (/.f64 (.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) x.re) y.im)>
#<alt (/.f64 (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 3 binary64)))) (+.f64 (/.f64 (.f64 x.im y.re) y.im) (/.f64 (.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))))) x.re) y.im)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.re) y.im)) (.f64 #s(literal -1 binary64) x.re)) y.im))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 x.im y.re) (/.f64 (.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) y.im)) y.im)) (*.f64 #s(literal -1 binary64) x.re)) y.im))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) y.im) (.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) y.im)) (.f64 x.im y.re)) y.im)) (*.f64 #s(literal -1 binary64) x.re)) y.im))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (-.f64 (/.f64 (.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (-.f64 (/.f64 (.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (-.f64 (/.f64 (.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))>
#<alt (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (.f64 x.re (-.f64 (/.f64 (.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (.f64 x.re (-.f64 (/.f64 (.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (.f64 x.re (-.f64 (/.f64 (.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.re (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.re) (.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.re (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.re) (.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.re (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.re) (.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))>
#<alt (/.f64 y.re y.im)>
#<alt (.f64 y.re (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) y.im)))>
#<alt (.f64 y.re (+.f64 (.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/8 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 5 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) y.im)))>
#<alt (.f64 y.re (+.f64 (.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -5/16 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 7 binary64)))) (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 5 binary64)))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) y.im)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64)))) (pow.f64 y.re #s(literal 4 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64)))) (pow.f64 y.re #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64)))))) (pow.f64 y.im #s(literal 6 binary64))) (pow.f64 y.re #s(literal 6 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) #s(literal 1 binary64))>
#<alt (-.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64)))) (pow.f64 y.re #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) #s(literal 1 binary64))>
#<alt (-.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64)))) (pow.f64 y.re #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64)))))) (pow.f64 y.im #s(literal 6 binary64))) (pow.f64 y.re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) #s(literal 1 binary64))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y.im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/8 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y.im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -5/16 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 6 binary64)))) (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 4 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (/.f64 y.re y.im)>
#<alt (/.f64 (+.f64 y.re (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 3 binary64)) (pow.f64 y.im #s(literal 2 binary64))))) y.im)>
#<alt (/.f64 (+.f64 y.re (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 y.re (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64))))) (pow.f64 y.im #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 3 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))) y.im)>
#<alt (/.f64 (+.f64 y.re (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 y.re (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64))))) (pow.f64 y.im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 y.re (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64)))))) (pow.f64 y.re #s(literal 6 binary64)))) (pow.f64 y.im #s(literal 6 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 3 binary64)) (pow.f64 y.im #s(literal 2 binary64))))))) y.im)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y.re y.im))>
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Calls

204 calls:

Time	Variable		Point	Expression
42.0ms	y.im	@	-inf	(pow (sqrt (+ (* y.re y.re) (* y.im y.im))) 2)
23.0ms	y.re	@	inf	(/ y.re (sqrt (+ (* y.re y.re) (* y.im y.im))))
21.0ms	y.re	@	inf	(/ x.im y.re)
5.0ms	y.re	@	-inf	(neg (/ (+ x.re (neg (* x.im (/ y.re y.im)))) y.im))
4.0ms	x.im	@	0	(* x.re (- (* x.im (/ y.re x.re)) y.im))

rewrite361.0ms (2.8%)

Memory

12.5MiB live, 284.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

328×	`log1p-expm1-u`
328×	`expm1-log1p-u`
324×	`add-cube-cbrt`
323×	`add-exp-log`
323×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	697
1	715	664

Stop Event

1×	node limit

Counts

22 → 573

Calls

Call 1

Inputs
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(/.f64 y.re (hypot.f64 y.re y.im))
(hypot.f64 y.re y.im)
(/.f64 x.im (hypot.f64 y.re y.im))
(/.f64 x.im y.re)
(/.f64 (*.f64 y.im x.re) y.re)
(*.f64 y.im x.re)
(/.f64 (-.f64 x.im (/.f64 (*.f64 y.im x.re) y.re)) y.re)
(-.f64 x.im (/.f64 (*.f64 y.im x.re) y.re))
(neg.f64 (/.f64 (+.f64 x.re (neg.f64 (*.f64 x.im (/.f64 y.re y.im)))) y.im))
(/.f64 (+.f64 x.re (neg.f64 (*.f64 x.im (/.f64 y.re y.im)))) y.im)
(+.f64 x.re (neg.f64 (*.f64 x.im (/.f64 y.re y.im))))
(neg.f64 (*.f64 x.im (/.f64 y.re y.im)))
(.f64 x.re (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im))
(-.f64 (*.f64 x.im (/.f64 y.re x.re)) y.im)
(*.f64 x.im (/.f64 y.re x.re))
(/.f64 y.re x.re)
(/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))
(*.f64 x.im (/.f64 y.re y.im))
(/.f64 (.f64 x.re (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im)) (fma.f64 y.im y.im (*.f64 y.re y.re)))

Outputs
(+.f64 (+.f64 (/.f64 (.f64 y.re x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (.f64 x.re (.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))) (fma.f64 (neg.f64 (.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))) x.re (.f64 x.re (.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))))
(+.f64 (+.f64 (/.f64 (.f64 y.re x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (.f64 x.re (.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))) (fma.f64 (neg.f64 x.re) (.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) (.f64 x.re (.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))))
(+.f64 (+.f64 (/.f64 (.f64 y.re x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (.f64 x.re (.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (.f64 y.im x.re)) (hypot.f64 y.re y.im))) (/.f64 (sqrt.f64 (.f64 y.im x.re)) (hypot.f64 y.re y.im)) (.f64 x.re (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))))
(+.f64 (/.f64 (.f64 y.re x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (.f64 x.re (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))))
(+.f64 (fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (.f64 (.f64 x.re (.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))) #s(literal 1 binary64)))) (fma.f64 (.f64 x.re (.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))) #s(literal 1 binary64) (.f64 (.f64 x.re (.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))) #s(literal 1 binary64))))
(+.f64 (fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (.f64 (cbrt.f64 (.f64 x.re (.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))) (cbrt.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 4 binary64))))))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x.re (.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))))) (cbrt.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 4 binary64)))) (.f64 (cbrt.f64 (.f64 x.re (.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 y.im x.re) #s(literal 2 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 4 binary64)))))))
(-.f64 (/.f64 (.f64 y.re x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (.f64 x.re (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 (.f64 y.re x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (.f64 x.re (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 y.re x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (.f64 x.re (.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 (.f64 y.re x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (.f64 x.re (.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (/.f64 (.f64 y.re x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (.f64 x.re (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))))))
(.f64 (sqrt.f64 (+.f64 (/.f64 (.f64 y.re x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (.f64 x.re (.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))))) (sqrt.f64 (+.f64 (/.f64 (.f64 y.re x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (.f64 x.re (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))))))
(pow.f64 (+.f64 (/.f64 (.f64 y.re x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (.f64 x.re (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 (.f64 y.re x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (.f64 x.re (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (/.f64 (.f64 y.re x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (.f64 x.re (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 (.f64 y.re x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (.f64 x.re (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 (.f64 y.re x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (.f64 x.re (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (/.f64 (.f64 y.re x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (.f64 x.re (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (/.f64 (.f64 y.re x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (.f64 x.re (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 (.f64 y.re x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (.f64 x.re (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 (.f64 y.re x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (.f64 x.re (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 (.f64 y.re x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (.f64 x.re (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))))))
(exp.f64 (log.f64 (+.f64 (/.f64 (.f64 y.re x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (.f64 x.re (*.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))))))
(exp.f64 (.f64 (log.f64 (+.f64 (/.f64 (.f64 y.re x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (.f64 x.re (.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y.re (hypot.f64 y.re y.im)))) #s(literal 1 binary64))
(*.f64 y.re (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)))
(*.f64 #s(literal 1 binary64) (/.f64 y.re (hypot.f64 y.re y.im)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y.re (hypot.f64 y.re y.im))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 y.re (hypot.f64 y.re y.im))))
(*.f64 (sqrt.f64 (/.f64 y.re (hypot.f64 y.re y.im))) (sqrt.f64 (/.f64 y.re (hypot.f64 y.re y.im))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 y.re) (hypot.f64 y.re y.im)))
(*.f64 (/.f64 (sqrt.f64 y.re) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y.re) (hypot.f64 y.re y.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64))) (/.f64 y.re (cbrt.f64 (hypot.f64 y.re y.im))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (hypot.f64 y.re y.im))) (/.f64 y.re (sqrt.f64 (hypot.f64 y.re y.im))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y.re (hypot.f64 y.re y.im))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64)) (sqrt.f64 (hypot.f64 y.re y.im))) (/.f64 (cbrt.f64 y.re) (sqrt.f64 (hypot.f64 y.re y.im))))
(*.f64 (/.f64 (sqrt.f64 y.re) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y.re) (cbrt.f64 (hypot.f64 y.re y.im))))
(pow.f64 (/.f64 y.re (hypot.f64 y.re y.im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 y.re (hypot.f64 y.re y.im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 y.re (hypot.f64 y.re y.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 y.re (hypot.f64 y.re y.im))) #s(literal 2 binary64))
(pow.f64 (/.f64 (hypot.f64 y.re y.im) y.re) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (/.f64 y.re (hypot.f64 y.re y.im)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 y.re (hypot.f64 y.re y.im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y.re (hypot.f64 y.re y.im)))))
(cbrt.f64 (pow.f64 (/.f64 y.re (hypot.f64 y.re y.im)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 y.re #s(literal 3 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 y.re (hypot.f64 y.re y.im))))
(log1p.f64 (expm1.f64 (/.f64 y.re (hypot.f64 y.re y.im))))
(exp.f64 (log.f64 (/.f64 y.re (hypot.f64 y.re y.im))))
(exp.f64 (*.f64 (log.f64 (/.f64 y.re (hypot.f64 y.re y.im))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 y.re y.im))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64)) (cbrt.f64 (hypot.f64 y.re y.im)))
(*.f64 (sqrt.f64 (hypot.f64 y.re y.im)) (sqrt.f64 (hypot.f64 y.re y.im)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64))))
(pow.f64 (hypot.f64 y.re y.im) #s(literal 1 binary64))
(pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(fabs.f64 (hypot.f64 y.re y.im))
(log.f64 (exp.f64 (hypot.f64 y.re y.im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 y.re y.im))))
(cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 y.re y.im)))
(log1p.f64 (expm1.f64 (hypot.f64 y.re y.im)))
(exp.f64 (log.f64 (hypot.f64 y.re y.im)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 y.re y.im)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x.im (hypot.f64 y.re y.im)))) #s(literal 1 binary64))
(*.f64 x.im (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)))
(*.f64 #s(literal 1 binary64) (/.f64 x.im (hypot.f64 y.re y.im)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x.im (hypot.f64 y.re y.im))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x.im (hypot.f64 y.re y.im))))
(*.f64 (sqrt.f64 (/.f64 x.im (hypot.f64 y.re y.im))) (sqrt.f64 (/.f64 x.im (hypot.f64 y.re y.im))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x.im) (hypot.f64 y.re y.im)))
(*.f64 (/.f64 (sqrt.f64 x.im) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x.im) (hypot.f64 y.re y.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64))) (/.f64 x.im (cbrt.f64 (hypot.f64 y.re y.im))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (hypot.f64 y.re y.im))) (/.f64 x.im (sqrt.f64 (hypot.f64 y.re y.im))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x.im (hypot.f64 y.re y.im))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (sqrt.f64 (hypot.f64 y.re y.im))) (/.f64 (cbrt.f64 x.im) (sqrt.f64 (hypot.f64 y.re y.im))))
(*.f64 (/.f64 (sqrt.f64 x.im) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x.im) (cbrt.f64 (hypot.f64 y.re y.im))))
(pow.f64 (/.f64 x.im (hypot.f64 y.re y.im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x.im (hypot.f64 y.re y.im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x.im (hypot.f64 y.re y.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x.im (hypot.f64 y.re y.im))) #s(literal 2 binary64))
(pow.f64 (/.f64 (hypot.f64 y.re y.im) x.im) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (/.f64 x.im (hypot.f64 y.re y.im)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x.im (hypot.f64 y.re y.im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x.im (hypot.f64 y.re y.im)))))
(cbrt.f64 (pow.f64 (/.f64 x.im (hypot.f64 y.re y.im)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x.im (hypot.f64 y.re y.im))))
(log1p.f64 (expm1.f64 (/.f64 x.im (hypot.f64 y.re y.im))))
(exp.f64 (log.f64 (/.f64 x.im (hypot.f64 y.re y.im))))
(exp.f64 (*.f64 (log.f64 (/.f64 x.im (hypot.f64 y.re y.im))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x.im y.re))) #s(literal 1 binary64))
(*.f64 x.im (/.f64 #s(literal 1 binary64) y.re))
(*.f64 #s(literal 1 binary64) (/.f64 x.im y.re))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x.im y.re)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x.im y.re)))
(*.f64 (sqrt.f64 (/.f64 x.im y.re)) (sqrt.f64 (/.f64 x.im y.re)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))) (/.f64 x.im (cbrt.f64 y.re)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y.re)) (/.f64 x.im (sqrt.f64 y.re)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x.im) y.re))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x.im y.re)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (sqrt.f64 y.re)) (/.f64 (cbrt.f64 x.im) (sqrt.f64 y.re)))
(*.f64 (/.f64 (sqrt.f64 x.im) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x.im) y.re))
(*.f64 (/.f64 (sqrt.f64 x.im) (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x.im) (cbrt.f64 y.re)))
(pow.f64 (/.f64 x.im y.re) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x.im y.re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x.im y.re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x.im y.re)) #s(literal 2 binary64))
(pow.f64 (/.f64 y.re x.im) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (/.f64 x.im y.re) #s(literal 2 binary64)))
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(pow.f64 (sqrt.f64 (*.f64 x.im (/.f64 y.re y.im))) #s(literal 2 binary64))
(neg.f64 (*.f64 x.im (/.f64 y.re y.im)))
(sqrt.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x.im) (/.f64 y.re y.im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im (/.f64 y.re y.im)))))
(cbrt.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (/.f64 y.re y.im) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 y.re y.im) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x.im (/.f64 y.re y.im))))
(log1p.f64 (expm1.f64 (*.f64 x.im (/.f64 y.re y.im))))
(exp.f64 (log.f64 (*.f64 x.im (/.f64 y.re y.im))))
(exp.f64 (.f64 (log.f64 (.f64 x.im (/.f64 y.re y.im))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 x.re (/.f64 (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))) #s(literal 1 binary64))
(.f64 x.re (/.f64 (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(.f64 (.f64 x.re (-.f64 (*.f64 x.im (/.f64 y.re x.re)) y.im)) (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(.f64 #s(literal 1 binary64) (.f64 x.re (/.f64 (-.f64 (*.f64 x.im (/.f64 y.re x.re)) y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(.f64 (pow.f64 (cbrt.f64 (.f64 x.re (/.f64 (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x.re (/.f64 (-.f64 (*.f64 x.im (/.f64 y.re x.re)) y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))))
(.f64 (/.f64 (sqrt.f64 (.f64 x.re (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im))) (hypot.f64 y.im y.re)) (/.f64 (sqrt.f64 (.f64 x.re (-.f64 (*.f64 x.im (/.f64 y.re x.re)) y.im))) (hypot.f64 y.im y.re)))
(.f64 (/.f64 x.re #s(literal 1 binary64)) (/.f64 (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (.f64 x.re (-.f64 (*.f64 x.im (/.f64 y.re x.re)) y.im)) (cbrt.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.im y.re)) (/.f64 (.f64 x.re (-.f64 (*.f64 x.im (/.f64 y.re x.re)) y.im)) (hypot.f64 y.im y.re)))
(.f64 (/.f64 (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im) (hypot.f64 y.im y.re)) (/.f64 x.re (hypot.f64 y.im y.re)))
(.f64 (/.f64 x.re (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im) (cbrt.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(.f64 (/.f64 x.re (hypot.f64 y.im y.re)) (/.f64 (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im) (hypot.f64 y.im y.re)))
(.f64 (/.f64 (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im) #s(literal 1 binary64)) (/.f64 x.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(.f64 (/.f64 (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 x.re (cbrt.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x.re (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (.f64 x.re (-.f64 (*.f64 x.im (/.f64 y.re x.re)) y.im))) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x.re (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (.f64 x.re (/.f64 (-.f64 (*.f64 x.im (/.f64 y.re x.re)) y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x.re (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im))) #s(literal 2 binary64)) (hypot.f64 y.im y.re)) (/.f64 (cbrt.f64 (.f64 x.re (-.f64 (*.f64 x.im (/.f64 y.re x.re)) y.im))) (hypot.f64 y.im y.re)))
(.f64 (/.f64 (sqrt.f64 (.f64 x.re (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (.f64 x.re (-.f64 (*.f64 x.im (/.f64 y.re x.re)) y.im))) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(.f64 (/.f64 (sqrt.f64 (.f64 x.re (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (.f64 x.re (-.f64 (*.f64 x.im (/.f64 y.re x.re)) y.im))) (cbrt.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(pow.f64 (.f64 x.re (/.f64 (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 x.re (/.f64 (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 x.re (/.f64 (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 (.f64 x.re (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im))) (hypot.f64 y.im y.re)) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)) (.f64 x.re (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (.f64 x.re (/.f64 (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x.re) (/.f64 (-.f64 (*.f64 x.im (/.f64 y.re x.re)) y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x.re (/.f64 (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (.f64 x.re (/.f64 (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (.f64 x.re (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 x.re (/.f64 (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (.f64 x.re (/.f64 (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))))
(exp.f64 (log.f64 (.f64 x.re (/.f64 (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))))
(exp.f64 (.f64 (log.f64 (.f64 x.re (/.f64 (-.f64 (*.f64 x.im (/.f64 y.re x.re)) y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))) #s(literal 1 binary64)))

simplify805.0ms (6.2%)

Memory

22.1MiB live, 803.0MiB allocated

Algorithm

1×	egg-herbie

Rules

463×	`*-commutative`
238×	`sub-neg`
237×	`neg-sub0`
237×	`+-commutative`
230×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1861	59595
1	5080	56306

Stop Event

1×	node limit

Counts

1 341 → 1 170

Calls

Call 1

Inputs
(*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))
(-.f64 (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64))) (/.f64 x.re y.im))
(-.f64 (.f64 y.re (+.f64 (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (/.f64 (.f64 x.re y.re) (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.re y.im))
(-.f64 (.f64 y.re (+.f64 (.f64 y.re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.re) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 x.re (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 x.re y.im))
(/.f64 x.im y.re)
(/.f64 (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) y.re))) y.re)
(/.f64 (-.f64 (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.re y.im) y.re)) y.re)
(/.f64 (-.f64 (+.f64 x.im (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 3 binary64)))) (+.f64 (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64))) (/.f64 (*.f64 x.re y.im) y.re))) y.re)
(/.f64 x.im y.re)
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.im) (/.f64 (*.f64 x.re y.im) y.re)) y.re))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.im) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) y.re)) (.f64 x.re y.im)) y.re))) y.re))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.im) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) y.re)) (.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))) y.re)) (.f64 x.re y.im)) y.re))) y.re))
(/.f64 x.im y.re)
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im y.re))
(+.f64 (.f64 y.im (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 x.im y.re))
(+.f64 (.f64 y.im (-.f64 (.f64 y.im (-.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 4 binary64))) (/.f64 x.im (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 x.im y.re))
(*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))
(/.f64 (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re) y.im)
(/.f64 (-.f64 (+.f64 (/.f64 (.f64 x.im y.re) y.im) (/.f64 (.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) x.re) y.im)
(/.f64 (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 3 binary64)))) (+.f64 (/.f64 (.f64 x.im y.re) y.im) (/.f64 (.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))))) x.re) y.im)
(*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.re) y.im)) (.f64 #s(literal -1 binary64) x.re)) y.im))
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 x.im y.re) (/.f64 (.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) y.im)) y.im)) (*.f64 #s(literal -1 binary64) x.re)) y.im))
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) y.im) (.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) y.im)) (.f64 x.im y.re)) y.im)) (*.f64 #s(literal -1 binary64) x.re)) y.im))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(-.f64 (/.f64 (.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(-.f64 (/.f64 (.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(-.f64 (/.f64 (.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(.f64 x.re (-.f64 (/.f64 (.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(.f64 x.re (-.f64 (/.f64 (.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(.f64 x.re (-.f64 (/.f64 (.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
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(.f64 #s(literal -1 binary64) (.f64 x.re (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.re) (.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
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(log.f64 (pow.f64 (exp.f64 x.im) (/.f64 y.re y.im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im (/.f64 y.re y.im)))))
(cbrt.f64 (pow.f64 (*.f64 x.im (/.f64 y.re y.im)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (/.f64 y.re y.im) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 y.re y.im) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x.im (/.f64 y.re y.im))))
(log1p.f64 (expm1.f64 (*.f64 x.im (/.f64 y.re y.im))))
(exp.f64 (log.f64 (*.f64 x.im (/.f64 y.re y.im))))
(exp.f64 (.f64 (log.f64 (.f64 x.im (/.f64 y.re y.im))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 x.re (/.f64 (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))) #s(literal 1 binary64))
(.f64 x.re (/.f64 (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(.f64 (.f64 x.re (-.f64 (*.f64 x.im (/.f64 y.re x.re)) y.im)) (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(.f64 #s(literal 1 binary64) (.f64 x.re (/.f64 (-.f64 (*.f64 x.im (/.f64 y.re x.re)) y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(.f64 (pow.f64 (cbrt.f64 (.f64 x.re (/.f64 (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (.f64 x.re (/.f64 (-.f64 (*.f64 x.im (/.f64 y.re x.re)) y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))))
(.f64 (/.f64 (sqrt.f64 (.f64 x.re (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im))) (hypot.f64 y.im y.re)) (/.f64 (sqrt.f64 (.f64 x.re (-.f64 (*.f64 x.im (/.f64 y.re x.re)) y.im))) (hypot.f64 y.im y.re)))
(.f64 (/.f64 x.re #s(literal 1 binary64)) (/.f64 (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (.f64 x.re (-.f64 (*.f64 x.im (/.f64 y.re x.re)) y.im)) (cbrt.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.im y.re)) (/.f64 (.f64 x.re (-.f64 (*.f64 x.im (/.f64 y.re x.re)) y.im)) (hypot.f64 y.im y.re)))
(.f64 (/.f64 (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im) (hypot.f64 y.im y.re)) (/.f64 x.re (hypot.f64 y.im y.re)))
(.f64 (/.f64 x.re (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im) (cbrt.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(.f64 (/.f64 x.re (hypot.f64 y.im y.re)) (/.f64 (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im) (hypot.f64 y.im y.re)))
(.f64 (/.f64 (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im) #s(literal 1 binary64)) (/.f64 x.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(.f64 (/.f64 (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 x.re (cbrt.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x.re (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (.f64 x.re (-.f64 (*.f64 x.im (/.f64 y.re x.re)) y.im))) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x.re (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (.f64 x.re (/.f64 (-.f64 (*.f64 x.im (/.f64 y.re x.re)) y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x.re (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im))) #s(literal 2 binary64)) (hypot.f64 y.im y.re)) (/.f64 (cbrt.f64 (.f64 x.re (-.f64 (*.f64 x.im (/.f64 y.re x.re)) y.im))) (hypot.f64 y.im y.re)))
(.f64 (/.f64 (sqrt.f64 (.f64 x.re (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (.f64 x.re (-.f64 (*.f64 x.im (/.f64 y.re x.re)) y.im))) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(.f64 (/.f64 (sqrt.f64 (.f64 x.re (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (.f64 x.re (-.f64 (*.f64 x.im (/.f64 y.re x.re)) y.im))) (cbrt.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(pow.f64 (.f64 x.re (/.f64 (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 x.re (/.f64 (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 x.re (/.f64 (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 (.f64 x.re (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im))) (hypot.f64 y.im y.re)) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)) (.f64 x.re (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (.f64 x.re (/.f64 (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x.re) (/.f64 (-.f64 (*.f64 x.im (/.f64 y.re x.re)) y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x.re (/.f64 (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (.f64 x.re (/.f64 (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (.f64 x.re (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 x.re (/.f64 (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (.f64 x.re (/.f64 (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))))
(exp.f64 (log.f64 (.f64 x.re (/.f64 (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))))
(exp.f64 (.f64 (log.f64 (.f64 x.re (/.f64 (-.f64 (*.f64 x.im (/.f64 y.re x.re)) y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))) #s(literal 1 binary64)))

Outputs
(*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))
(/.f64 x.re (neg.f64 y.im))
(-.f64 (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64))) (/.f64 x.re y.im))
(-.f64 (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re y.im))
(fma.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))) (/.f64 x.re (neg.f64 y.im)))
(-.f64 (.f64 y.re (+.f64 (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (/.f64 (.f64 x.re y.re) (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.re y.im))
(fma.f64 y.re (+.f64 (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (*.f64 x.re (/.f64 y.re (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.re (neg.f64 y.im)))
(-.f64 (.f64 y.re (+.f64 (.f64 y.re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.re) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 x.re (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 x.re y.im))
(fma.f64 y.re (fma.f64 y.re (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 4 binary64))) (/.f64 x.re (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 x.re (neg.f64 y.im)))
(-.f64 (.f64 y.re (fma.f64 y.re (-.f64 (/.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (/.f64 (.f64 x.im y.re) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 x.re y.im))
(/.f64 x.im y.re)
(/.f64 (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) y.re))) y.re)
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
(/.f64 (-.f64 (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.re y.im) y.re)) y.re)
(/.f64 (+.f64 x.im (-.f64 (/.f64 (.f64 (neg.f64 x.im) (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64))) (.f64 x.re (/.f64 y.im y.re)))) y.re)
(/.f64 (-.f64 (-.f64 x.im (.f64 x.im (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (.f64 x.re (/.f64 y.im y.re))) y.re)
(/.f64 (-.f64 (+.f64 x.im (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 3 binary64)))) (+.f64 (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64))) (/.f64 (*.f64 x.re y.im) y.re))) y.re)
(/.f64 (-.f64 (+.f64 x.im (.f64 x.re (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 3 binary64))))) (+.f64 (.f64 x.im (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 x.re (/.f64 y.im y.re)))) y.re)
(/.f64 (+.f64 x.im (fma.f64 x.re (/.f64 (pow.f64 y.im #s(literal 3 binary64)) (pow.f64 y.re #s(literal 3 binary64))) (-.f64 (.f64 x.re (/.f64 (neg.f64 y.im) y.re)) (.f64 x.im (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) y.re)
(/.f64 x.im y.re)
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.im) (/.f64 (*.f64 x.re y.im) y.re)) y.re))
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x.im (*.f64 x.re (/.f64 y.im y.re))) y.re))
(/.f64 (neg.f64 (-.f64 (*.f64 x.re (/.f64 y.im y.re)) x.im)) y.re)
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.im) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) y.re)) (.f64 x.re y.im)) y.re))) y.re))
(neg.f64 (/.f64 (.f64 #s(literal -1 binary64) (+.f64 x.im (/.f64 (-.f64 (/.f64 (.f64 (neg.f64 x.im) (pow.f64 y.im #s(literal 2 binary64))) y.re) (*.f64 x.re y.im)) y.re))) y.re))
(/.f64 (neg.f64 (-.f64 (neg.f64 x.im) (/.f64 (-.f64 (.f64 (neg.f64 x.im) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) y.re)) (.f64 x.re y.im)) y.re))) y.re)
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.im) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) y.re)) (.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))) y.re)) (.f64 x.re y.im)) y.re))) y.re))
(neg.f64 (/.f64 (.f64 #s(literal -1 binary64) (+.f64 x.im (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (.f64 x.re (/.f64 (pow.f64 y.im #s(literal 3 binary64)) y.re)) (.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))) y.re)) (.f64 x.re y.im)) y.re))) y.re))
(/.f64 (neg.f64 (-.f64 (neg.f64 x.im) (/.f64 (-.f64 (.f64 x.re (neg.f64 y.im)) (/.f64 (-.f64 (.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (*.f64 x.re (/.f64 (pow.f64 y.im #s(literal 3 binary64)) y.re))) y.re)) y.re))) y.re)
(/.f64 x.im y.re)
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im y.re))
(fma.f64 #s(literal -1 binary64) (*.f64 x.re (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im y.re))
(-.f64 (/.f64 x.im y.re) (*.f64 x.re (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (.f64 y.im (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 x.im y.re))
(fma.f64 y.im (-.f64 (neg.f64 (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im y.re))
(fma.f64 y.im (-.f64 (*.f64 x.im (neg.f64 (/.f64 y.im (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im y.re))
(+.f64 (.f64 y.im (-.f64 (.f64 y.im (-.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 4 binary64))) (/.f64 x.im (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 x.im y.re))
(fma.f64 y.im (fma.f64 y.im (-.f64 (*.f64 x.re (/.f64 y.im (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 x.im (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 (neg.f64 x.re) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im y.re))
(*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))
(/.f64 x.re (neg.f64 y.im))
(/.f64 (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re) y.im)
(/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)
(/.f64 (-.f64 (+.f64 (/.f64 (.f64 x.im y.re) y.im) (/.f64 (.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) x.re) y.im)
(/.f64 (+.f64 (-.f64 (.f64 x.im (/.f64 y.re y.im)) x.re) (.f64 x.re (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))) y.im)
(/.f64 (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 3 binary64)))) (+.f64 (/.f64 (.f64 x.im y.re) y.im) (/.f64 (.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))))) x.re) y.im)
(/.f64 (-.f64 (+.f64 (fma.f64 #s(literal -1 binary64) (.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 3 binary64))) (.f64 x.im (/.f64 y.re y.im))) (*.f64 x.re (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))) x.re) y.im)
(/.f64 (-.f64 (+.f64 (-.f64 (.f64 x.im (/.f64 y.re y.im)) (.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 3 binary64)))) (*.f64 x.re (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))) x.re) y.im)
(*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))
(/.f64 x.re (neg.f64 y.im))
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.re) y.im)) (.f64 #s(literal -1 binary64) x.re)) y.im))
(/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 x.im y.re) (/.f64 (.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) y.im)) y.im)) (*.f64 #s(literal -1 binary64) x.re)) y.im))
(neg.f64 (/.f64 (.f64 #s(literal -1 binary64) (-.f64 (/.f64 (fma.f64 x.im y.re (.f64 x.re (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im))) y.im) x.re)) y.im))
(/.f64 (neg.f64 (-.f64 x.re (/.f64 (fma.f64 x.im y.re (*.f64 x.re (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im))) y.im))) y.im)
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) y.im) (.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) y.im)) (.f64 x.im y.re)) y.im)) (*.f64 #s(literal -1 binary64) x.re)) y.im))
(neg.f64 (/.f64 (.f64 #s(literal -1 binary64) (-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 x.im (/.f64 (pow.f64 y.re #s(literal 3 binary64)) y.im)) (.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) y.im) (.f64 x.im y.re)) y.im) x.re)) y.im))
(/.f64 (neg.f64 (-.f64 x.re (/.f64 (-.f64 (.f64 x.im y.re) (/.f64 (fma.f64 x.im (/.f64 (pow.f64 y.re #s(literal 3 binary64)) y.im) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (neg.f64 x.re))) y.im)) y.im))) y.im)
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y.im
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y.re
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(.f64 (/.f64 (sqrt.f64 (.f64 x.re (fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im)))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 x.re (fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im)))) (cbrt.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(pow.f64 (.f64 x.re (/.f64 (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 x.re (-.f64 (/.f64 (.f64 x.im (/.f64 y.re x.re)) (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 y.im (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64))))))
(/.f64 (*.f64 x.re (fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im))) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (.f64 x.re (/.f64 (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))) #s(literal 3 binary64))
(.f64 x.re (-.f64 (/.f64 (.f64 x.im (/.f64 y.re x.re)) (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 y.im (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64))))))
(/.f64 (*.f64 x.re (fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im))) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (.f64 x.re (/.f64 (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(.f64 x.re (-.f64 (/.f64 (.f64 x.im (/.f64 y.re x.re)) (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 y.im (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64))))))
(/.f64 (*.f64 x.re (fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im))) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))
(pow.f64 (/.f64 (sqrt.f64 (.f64 x.re (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im))) (hypot.f64 y.im y.re)) #s(literal 2 binary64))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 x.re (fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im)))) (hypot.f64 y.im y.re)) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)) (.f64 x.re (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)) (*.f64 x.re (fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im)))))
(sqrt.f64 (pow.f64 (.f64 x.re (/.f64 (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 x.re (fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im))) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) #s(literal 2 binary64)))
(fabs.f64 (/.f64 (*.f64 x.re (fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im))) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 x.re) (/.f64 (-.f64 (*.f64 x.im (/.f64 y.re x.re)) y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(.f64 x.re (-.f64 (/.f64 (.f64 x.im (/.f64 y.re x.re)) (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 y.im (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64))))))
(/.f64 (*.f64 x.re (fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im))) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x.re (/.f64 (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))))
(.f64 x.re (-.f64 (/.f64 (.f64 x.im (/.f64 y.re x.re)) (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 y.im (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64))))))
(/.f64 (*.f64 x.re (fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im))) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (.f64 x.re (/.f64 (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(.f64 x.re (-.f64 (/.f64 (.f64 x.im (/.f64 y.re x.re)) (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 y.im (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64))))))
(/.f64 (*.f64 x.re (fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im))) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (.f64 x.re (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)) #s(literal 3 binary64))))
(.f64 x.re (-.f64 (/.f64 (.f64 x.im (/.f64 y.re x.re)) (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 y.im (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64))))))
(/.f64 (*.f64 x.re (fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im))) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (.f64 x.re (/.f64 (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 x.re (fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im))) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (.f64 x.re (/.f64 (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))))
(.f64 x.re (-.f64 (/.f64 (.f64 x.im (/.f64 y.re x.re)) (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 y.im (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64))))))
(/.f64 (*.f64 x.re (fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im))) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))
(exp.f64 (log.f64 (.f64 x.re (/.f64 (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))))
(.f64 x.re (-.f64 (/.f64 (.f64 x.im (/.f64 y.re x.re)) (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 y.im (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64))))))
(/.f64 (*.f64 x.re (fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im))) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x.re (/.f64 (-.f64 (*.f64 x.im (/.f64 y.re x.re)) y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))) #s(literal 1 binary64)))
(.f64 x.re (-.f64 (/.f64 (.f64 x.im (/.f64 y.re x.re)) (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 y.im (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64))))))
(/.f64 (*.f64 x.re (fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im))) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))

eval400.0ms (3.1%)

Memory: 17.7MiB live, 401.5MiB allocated
Compiler: Compiled 31 951 to 4 917 computations (84.6% saved)

prune645.0ms (4.9%)

Memory

-6.6MiB live, 528.4MiB allocated

Pruning

21 alts after pruning (18 fresh and 3 done)

	Pruned	Kept	Total
New	1 288	16	1 304
Fresh	2	2	4
Picked	3	2	5
Done	0	1	1
Total	1 293	21	1 314

Accuracy

100.0%

Counts

1 314 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	59.3%	(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64)))))
	13.2%	(pow.f64 (sqrt.f64 (/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.re y.im))) y.im)) #s(literal 2 binary64))
	46.3%	(pow.f64 (cbrt.f64 (/.f64 x.im y.re)) #s(literal 3 binary64))
	48.9%	(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
	50.2%	(/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)
✓	64.7%	(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
✓	59.4%	(/.f64 (-.f64 x.im (/.f64 (*.f64 y.im x.re) y.re)) y.re)
	61.0%	(/.f64 (-.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y.re y.im) x.re))) y.re)
▶	59.4%	(/.f64 (-.f64 x.im (.f64 (.f64 y.im x.re) (/.f64 #s(literal 1 binary64) y.re))) y.re)
▶	61.0%	(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
	26.8%	(/.f64 (*.f64 y.im (/.f64 x.re (neg.f64 y.re))) y.re)
	26.8%	(/.f64 (*.f64 x.re (/.f64 (neg.f64 y.im) y.re)) y.re)
▶	29.0%	(/.f64 (.f64 x.re (.f64 x.im (/.f64 y.re x.re))) (fma.f64 y.im y.im (*.f64 y.re y.re)))
▶	39.3%	(/.f64 (neg.f64 x.re) y.im)
	33.0%	(/.f64 (exp.f64 (log.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))))) y.re)
✓	47.0%	(/.f64 x.im y.re)
▶	73.2%	(.f64 (/.f64 (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im) (hypot.f64 y.im y.re)) (/.f64 x.re (hypot.f64 y.im y.re)))
	60.5%	(.f64 (-.f64 x.im (.f64 y.im (/.f64 x.re y.re))) (/.f64 #s(literal 1 binary64) y.re))
	46.9%	(*.f64 x.im (/.f64 #s(literal 1 binary64) y.re))
	41.2%	(neg.f64 (/.f64 (/.f64 (-.f64 (.f64 x.re y.im) (.f64 x.im y.re)) y.im) y.im))
	47.5%	(neg.f64 (/.f64 (.f64 x.re (-.f64 #s(literal 1 binary64) (.f64 x.im (/.f64 (/.f64 y.re y.im) x.re)))) y.im))

Compiler

Compiled 563 to 360 computations (36.1% saved)

simplify98.0ms (0.7%)

Memory

-8.2MiB live, 31.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(/.f64 y.re x.re)
	cost-diff	0	(*.f64 x.im (/.f64 y.re x.re))
✓	cost-diff	256	(.f64 x.re (.f64 x.im (/.f64 y.re x.re)))
✓	cost-diff	256	(/.f64 (.f64 x.re (.f64 x.im (/.f64 y.re x.re))) (fma.f64 y.im y.im (*.f64 y.re y.re)))
✓	cost-diff	-6208	(/.f64 (-.f64 x.im (.f64 (.f64 y.im x.re) (/.f64 #s(literal 1 binary64) y.re))) y.re)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y.re)
	cost-diff	0	(*.f64 y.im x.re)
✓	cost-diff	128	(.f64 (.f64 y.im x.re) (/.f64 #s(literal 1 binary64) y.re))
✓	cost-diff	-6336	(-.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))
✓	cost-diff	-6336	(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
✓	cost-diff	0	(/.f64 y.im y.re)
✓	cost-diff	0	(*.f64 x.re (/.f64 y.im y.re))
✓	cost-diff	0	(neg.f64 x.re)
✓	cost-diff	0	(/.f64 (neg.f64 x.re) y.im)
	cost-diff	0	(/.f64 y.re x.re)
	cost-diff	0	(*.f64 x.im (/.f64 y.re x.re))
✓	cost-diff	0	(/.f64 (-.f64 (*.f64 x.im (/.f64 y.re x.re)) y.im) (hypot.f64 y.im y.re))
✓	cost-diff	6528	(.f64 (/.f64 (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im) (hypot.f64 y.im y.re)) (/.f64 x.re (hypot.f64 y.im y.re)))

Rules

520×	`distribute-lft-neg-in`
513×	`distribute-rgt-neg-in`
452×	`times-frac`
397×	`fmm-def`
334×	`fma-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	36	715
1	91	715
2	204	715
3	496	687
4	1283	666
5	2893	666
6	4334	666
7	6586	666

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f64 (/.f64 (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im) (hypot.f64 y.im y.re)) (/.f64 x.re (hypot.f64 y.im y.re)))
(/.f64 (-.f64 (*.f64 x.im (/.f64 y.re x.re)) y.im) (hypot.f64 y.im y.re))
(-.f64 (*.f64 x.im (/.f64 y.re x.re)) y.im)
(*.f64 x.im (/.f64 y.re x.re))
x.im
(/.f64 y.re x.re)
y.re
x.re
y.im
(hypot.f64 y.im y.re)
(/.f64 x.re (hypot.f64 y.im y.re))
(/.f64 (neg.f64 x.re) y.im)
(neg.f64 x.re)
x.re
y.im
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
(-.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))
x.im
(*.f64 x.re (/.f64 y.im y.re))
x.re
(/.f64 y.im y.re)
y.im
y.re
(/.f64 (-.f64 x.im (.f64 (.f64 y.im x.re) (/.f64 #s(literal 1 binary64) y.re))) y.re)
(-.f64 x.im (.f64 (.f64 y.im x.re) (/.f64 #s(literal 1 binary64) y.re)))
x.im
(.f64 (.f64 y.im x.re) (/.f64 #s(literal 1 binary64) y.re))
(*.f64 y.im x.re)
y.im
x.re
(/.f64 #s(literal 1 binary64) y.re)
#s(literal 1 binary64)
y.re
(/.f64 (.f64 x.re (.f64 x.im (/.f64 y.re x.re))) (fma.f64 y.im y.im (*.f64 y.re y.re)))
(.f64 x.re (.f64 x.im (/.f64 y.re x.re)))
x.re
(*.f64 x.im (/.f64 y.re x.re))
x.im
(/.f64 y.re x.re)
y.re
(fma.f64 y.im y.im (*.f64 y.re y.re))
y.im
(*.f64 y.re y.re)

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

localize125.0ms (1%)

Memory

20.0MiB live, 137.0MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(fma.f64 y.im y.im (*.f64 y.re y.re))
	accuracy	90.4%	(*.f64 x.im (/.f64 y.re x.re))
✓	accuracy	85.9%	(.f64 x.re (.f64 x.im (/.f64 y.re x.re)))
✓	accuracy	72.0%	(/.f64 (.f64 x.re (.f64 x.im (/.f64 y.re x.re))) (fma.f64 y.im y.im (*.f64 y.re y.re)))
✓	accuracy	100.0%	(-.f64 x.im (.f64 (.f64 y.im x.re) (/.f64 #s(literal 1 binary64) y.re)))
	accuracy	100.0%	(*.f64 y.im x.re)
✓	accuracy	98.1%	(/.f64 (-.f64 x.im (.f64 (.f64 y.im x.re) (/.f64 #s(literal 1 binary64) y.re))) y.re)
✓	accuracy	94.6%	(.f64 (.f64 y.im x.re) (/.f64 #s(literal 1 binary64) y.re))
✓	accuracy	100.0%	(/.f64 y.im y.re)
✓	accuracy	100.0%	(-.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))
✓	accuracy	98.1%	(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
✓	accuracy	91.9%	(*.f64 x.re (/.f64 y.im y.re))
✓	accuracy	100.0%	(/.f64 (neg.f64 x.re) y.im)
✓	accuracy	100.0%	(neg.f64 x.re)
	accuracy	100.0%	(-.f64 (*.f64 x.im (/.f64 y.re x.re)) y.im)
	accuracy	90.4%	(*.f64 x.im (/.f64 y.re x.re))
✓	accuracy	88.9%	(/.f64 (-.f64 (*.f64 x.im (/.f64 y.re x.re)) y.im) (hypot.f64 y.im y.re))
✓	accuracy	84.2%	(.f64 (/.f64 (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im) (hypot.f64 y.im y.re)) (/.f64 x.re (hypot.f64 y.im y.re)))

Samples

93.0ms

256×

valid

Compiler

Compiled 173 to 30 computations (82.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 74.0ms

ival-div: 50.0ms (67.8% of total)

ival-mult: 13.0ms (17.6% of total)

ival-hypot: 4.0ms (5.4% of total)

ival-sub: 4.0ms (5.4% of total)

ival-add: 1.0ms (1.4% of total)

ival-neg: 1.0ms (1.4% of total)

ival-assert: 0.0ms (0% of total)

...in/eval/compile.rkt:76:19: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series78.0ms (0.6%)

Memory

-7.6MiB live, 70.0MiB allocated

Counts

14 → 480

Calls

Call 1

Inputs
#<alt (.f64 (/.f64 (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im) (hypot.f64 y.im y.re)) (/.f64 x.re (hypot.f64 y.im y.re)))>
#<alt (/.f64 (-.f64 (*.f64 x.im (/.f64 y.re x.re)) y.im) (hypot.f64 y.im y.re))>
#<alt (/.f64 (neg.f64 x.re) y.im)>
#<alt (neg.f64 x.re)>
#<alt (*.f64 x.re (/.f64 y.im y.re))>
#<alt (/.f64 y.im y.re)>
#<alt (/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)>
#<alt (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))>
#<alt (.f64 (.f64 y.im x.re) (/.f64 #s(literal 1 binary64) y.re))>
#<alt (/.f64 #s(literal 1 binary64) y.re)>
#<alt (/.f64 (-.f64 x.im (.f64 (.f64 y.im x.re) (/.f64 #s(literal 1 binary64) y.re))) y.re)>
#<alt (/.f64 (.f64 x.re (.f64 x.im (/.f64 y.re x.re))) (fma.f64 y.im y.im (*.f64 y.re y.re)))>
#<alt (.f64 x.re (.f64 x.im (/.f64 y.re x.re)))>
#<alt (-.f64 x.im (.f64 (.f64 y.im x.re) (/.f64 #s(literal 1 binary64) y.re)))>

Outputs
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (/.f64 (.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (.f64 y.re (+.f64 (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 3 binary64))))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (.f64 y.re (+.f64 (.f64 y.re (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.re) (pow.f64 y.im #s(literal 4 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.im #s(literal 3 binary64)))))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))))>
#<alt (/.f64 x.im y.re)>
#<alt (/.f64 (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) y.re))) y.re)>
#<alt (/.f64 (+.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) y.re)))) y.re)>
#<alt (/.f64 (-.f64 (+.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) y.re)) (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) y.re)>
#<alt (/.f64 x.im y.re)>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.im) (/.f64 (*.f64 x.re y.im) y.re)) y.re))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.im) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 x.re y.im)) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) y.re))) y.re))) y.re))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.im) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 x.re y.im)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) y.re)) (.f64 #s(literal -1 binary64) (.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))) y.re))) y.re))) y.re))>
#<alt (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (.f64 x.im y.re) (.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (.f64 x.im y.re) (.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (.f64 x.im y.re) (.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (/.f64 x.im y.re)>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im y.re))>
#<alt (+.f64 (.f64 y.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.im) (pow.f64 y.re #s(literal 3 binary64)))))) (/.f64 x.im y.re))>
#<alt (+.f64 (.f64 y.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) (.f64 y.im (-.f64 (/.f64 (.f64 x.re y.im) (pow.f64 y.re #s(literal 4 binary64))) (/.f64 x.im (pow.f64 y.re #s(literal 3 binary64))))))) (/.f64 x.im y.re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (.f64 x.im y.re) y.im)) y.im)>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (+.f64 (/.f64 (.f64 x.im y.re) y.im) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))))) y.im)>
#<alt (/.f64 (-.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 (.f64 x.im y.re) y.im))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))))) y.im)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.re (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) y.im))) y.im))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.re (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 x.im y.re) (/.f64 (.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) y.im)) y.im))) y.im))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.re (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) y.im) (.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) y.im)) (.f64 x.im y.re)) y.im))) y.im))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y.im (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 y.im (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (.f64 (/.f64 (.f64 x.im y.re) x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 y.im (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (.f64 (/.f64 (.f64 x.im y.re) x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 y.im (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (.f64 (/.f64 (.f64 x.im y.re) x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (.f64 (/.f64 (.f64 x.im y.re) x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (.f64 (/.f64 y.im x.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (.f64 (/.f64 y.re x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))>
#<alt (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (.f64 (/.f64 y.im x.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (.f64 (/.f64 y.re x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))>
#<alt (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (.f64 (/.f64 y.im x.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (.f64 (/.f64 y.re x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))>
#<alt (.f64 (/.f64 (.f64 x.im y.re) x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
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#<alt (.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (.f64 (/.f64 y.re x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (*.f64 (/.f64 y.im x.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))))>
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#<alt (.f64 y.re (+.f64 (.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 6 binary64))) (/.f64 x.im (pow.f64 y.im #s(literal 4 binary64))))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))))>
#<alt (.f64 y.re (+.f64 (.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 8 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 x.im (pow.f64 y.im #s(literal 6 binary64)))))) (/.f64 x.im (pow.f64 y.im #s(literal 4 binary64))))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))))>
#<alt (/.f64 x.im y.re)>
#<alt (/.f64 (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64))))) y.re)>
#<alt (/.f64 (-.f64 (+.f64 x.im (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) y.re)>
#<alt (/.f64 (-.f64 (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 6 binary64))) (pow.f64 y.re #s(literal 6 binary64))))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64))))) y.re)>
#<alt (/.f64 x.im y.re)>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.im) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) y.re))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.im) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64))))) y.re))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.im) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 y.re #s(literal 4 binary64)))) (+.f64 (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64))) (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 6 binary64))) (pow.f64 y.re #s(literal 6 binary64)))))) y.re))>
#<alt (/.f64 x.im y.re)>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 x.im y.re))>
#<alt (+.f64 (.f64 (pow.f64 y.im #s(literal 2 binary64)) (-.f64 (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 5 binary64))) (/.f64 x.im (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 x.im y.re))>
#<alt (+.f64 (.f64 (pow.f64 y.im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 y.im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 7 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 x.im (pow.f64 y.re #s(literal 5 binary64)))))) (/.f64 x.im (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 x.im y.re))>
#<alt (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) (*.f64 x.im y.re)) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (.f64 x.im y.re) (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 5 binary64))) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 7 binary64))) (pow.f64 y.im #s(literal 6 binary64)))) (.f64 x.im y.re)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 5 binary64))) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 2 binary64))))) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) (*.f64 x.im y.re)) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (.f64 x.im y.re) (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 5 binary64))) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 7 binary64))) (pow.f64 y.im #s(literal 6 binary64)))) (.f64 x.im y.re)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 5 binary64))) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 2 binary64))))) (pow.f64 y.im #s(literal 2 binary64)))>
#<alt (*.f64 x.im y.re)>
#<alt (*.f64 x.im y.re)>
#<alt (*.f64 x.im y.re)>
#<alt (*.f64 x.im y.re)>
#<alt (*.f64 x.im y.re)>
#<alt (*.f64 x.im y.re)>
#<alt (*.f64 x.im y.re)>
#<alt (*.f64 x.im y.re)>
#<alt (*.f64 x.im y.re)>
#<alt (*.f64 x.im y.re)>
#<alt (*.f64 x.im y.re)>
#<alt (*.f64 x.im y.re)>
#<alt (*.f64 x.im y.re)>
#<alt (*.f64 x.im y.re)>
#<alt (*.f64 x.im y.re)>
#<alt (*.f64 x.im y.re)>
#<alt (*.f64 x.im y.re)>
#<alt (*.f64 x.im y.re)>
#<alt (*.f64 x.im y.re)>
#<alt (*.f64 x.im y.re)>
#<alt (*.f64 x.im y.re)>
#<alt (*.f64 x.im y.re)>
#<alt (*.f64 x.im y.re)>
#<alt (*.f64 x.im y.re)>
#<alt (*.f64 x.im y.re)>
#<alt (*.f64 x.im y.re)>
#<alt (*.f64 x.im y.re)>
#<alt (*.f64 x.im y.re)>
#<alt (*.f64 x.im y.re)>
#<alt (*.f64 x.im y.re)>
#<alt (*.f64 x.im y.re)>
#<alt (*.f64 x.im y.re)>
#<alt (*.f64 x.im y.re)>
#<alt (*.f64 x.im y.re)>
#<alt (*.f64 x.im y.re)>
#<alt (*.f64 x.im y.re)>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) y.re))>
#<alt (-.f64 x.im (/.f64 (*.f64 x.re y.im) y.re))>
#<alt (-.f64 x.im (/.f64 (*.f64 x.re y.im) y.re))>
#<alt (-.f64 x.im (/.f64 (*.f64 x.re y.im) y.re))>
#<alt x.im>
#<alt (.f64 x.im (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (.f64 x.im y.re)))))>
#<alt (.f64 x.im (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (.f64 x.im y.re)))))>
#<alt (.f64 x.im (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (.f64 x.im y.re)))))>
#<alt x.im>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.im (-.f64 (/.f64 (.f64 x.re y.im) (.f64 x.im y.re)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.im (-.f64 (/.f64 (.f64 x.re y.im) (.f64 x.im y.re)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.im (-.f64 (/.f64 (.f64 x.re y.im) (.f64 x.im y.re)) #s(literal 1 binary64))))>
#<alt x.im>
#<alt (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) y.re)))>
#<alt (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) y.re)))>
#<alt (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) y.re)))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) y.re))>
#<alt (*.f64 y.im (-.f64 (/.f64 x.im y.im) (/.f64 x.re y.re)))>
#<alt (*.f64 y.im (-.f64 (/.f64 x.im y.im) (/.f64 x.re y.re)))>
#<alt (*.f64 y.im (-.f64 (/.f64 x.im y.im) (/.f64 x.re y.re)))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) y.re))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y.im (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x.im y.im)) (.f64 #s(literal -1 binary64) (/.f64 x.re y.re)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y.im (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x.im y.im)) (.f64 #s(literal -1 binary64) (/.f64 x.re y.re)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y.im (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x.im y.im)) (.f64 #s(literal -1 binary64) (/.f64 x.re y.re)))))>
#<alt x.im>
#<alt (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) y.re)))>
#<alt (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) y.re)))>
#<alt (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) y.re)))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) y.re))>
#<alt (*.f64 x.re (-.f64 (/.f64 x.im x.re) (/.f64 y.im y.re)))>
#<alt (*.f64 x.re (-.f64 (/.f64 x.im x.re) (/.f64 y.im y.re)))>
#<alt (*.f64 x.re (-.f64 (/.f64 x.im x.re) (/.f64 y.im y.re)))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) y.re))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.re (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) (.f64 #s(literal -1 binary64) (/.f64 y.im y.re)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.re (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) (.f64 #s(literal -1 binary64) (/.f64 y.im y.re)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.re (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) (.f64 #s(literal -1 binary64) (/.f64 y.im y.re)))))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) y.re))>
#<alt (/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) y.re)>
#<alt (/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) y.re)>
#<alt (/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) y.re)>
#<alt x.im>
#<alt (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) y.re)))>
#<alt (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) y.re)))>
#<alt (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) y.re)))>
#<alt x.im>
#<alt (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) y.re)))>
#<alt (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) y.re)))>
#<alt (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) y.re)))>

Calls

129 calls:

Time	Variable		Point	Expression
39.0ms	y.re	@	0	(/ (* x.re (* x.im (/ y.re x.re))) (+ (* y.im y.im) (* y.re y.re)))
2.0ms	y.re	@	inf	(* (/ (- (* x.im (/ y.re x.re)) y.im) (sqrt (+ (* y.im y.im) (* y.re y.re)))) (/ x.re (sqrt (+ (* y.im y.im) (* y.re y.re)))))
2.0ms	x.im	@	0	(/ (- (* x.im (/ y.re x.re)) y.im) (sqrt (+ (* y.im y.im) (* y.re y.re))))
1.0ms	y.re	@	inf	(/ (* x.re (* x.im (/ y.re x.re))) (+ (* y.im y.im) (* y.re y.re)))
1.0ms	x.re	@	0	(/ (- (* x.im (/ y.re x.re)) y.im) (sqrt (+ (* y.im y.im) (* y.re y.re))))

rewrite254.0ms (2%)

Memory

-14.3MiB live, 186.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

272×	`associate-r`
260×	`log1p-expm1-u`
260×	`expm1-log1p-u`
259×	`add-cube-cbrt`
258×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	443
1	648	425

Stop Event

1×	node limit

Counts

14 → 444

Calls

Call 1

Inputs
(.f64 (/.f64 (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im) (hypot.f64 y.im y.re)) (/.f64 x.re (hypot.f64 y.im y.re)))
(/.f64 (-.f64 (*.f64 x.im (/.f64 y.re x.re)) y.im) (hypot.f64 y.im y.re))
(/.f64 (neg.f64 x.re) y.im)
(neg.f64 x.re)
(*.f64 x.re (/.f64 y.im y.re))
(/.f64 y.im y.re)
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
(-.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))
(.f64 (.f64 y.im x.re) (/.f64 #s(literal 1 binary64) y.re))
(/.f64 #s(literal 1 binary64) y.re)
(/.f64 (-.f64 x.im (.f64 (.f64 y.im x.re) (/.f64 #s(literal 1 binary64) y.re))) y.re)
(/.f64 (.f64 x.re (.f64 x.im (/.f64 y.re x.re))) (fma.f64 y.im y.im (*.f64 y.re y.re)))
(.f64 x.re (.f64 x.im (/.f64 y.re x.re)))
(-.f64 x.im (.f64 (.f64 y.im x.re) (/.f64 #s(literal 1 binary64) y.re)))

Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im)) x.re) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))) #s(literal 1 binary64))
(/.f64 x.re (*.f64 (/.f64 (hypot.f64 y.im y.re) (fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im))) (hypot.f64 y.im y.re)))
(/.f64 x.re (*.f64 (/.f64 (hypot.f64 y.im y.re) (fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im))) (neg.f64 (hypot.f64 y.im y.re))))
(/.f64 (fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im)) (*.f64 (/.f64 (hypot.f64 y.im y.re) x.re) (hypot.f64 y.im y.re)))
(/.f64 (/.f64 (fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im)) (hypot.f64 y.im y.re)) (/.f64 (hypot.f64 y.im y.re) x.re))
(/.f64 (/.f64 x.re (hypot.f64 y.im y.re)) (/.f64 (hypot.f64 y.im y.re) (fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (hypot.f64 y.im y.re) (fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im))) (/.f64 (hypot.f64 y.im y.re) x.re)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (hypot.f64 y.im y.re) x.re) (/.f64 (hypot.f64 y.im y.re) (fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)) (*.f64 (fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im)) x.re)))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 y.im y.re) (*.f64 (/.f64 (fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im)) (hypot.f64 y.im y.re)) x.re)))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 y.im y.re) (*.f64 (fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im)) (/.f64 x.re (hypot.f64 y.im y.re)))))
(/.f64 (*.f64 (fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im)) x.re) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))
(/.f64 (*.f64 (fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im)) x.re) (neg.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im))) (*.f64 (/.f64 (hypot.f64 y.im y.re) x.re) (neg.f64 (hypot.f64 y.im y.re))))
(/.f64 (*.f64 (/.f64 (fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im)) (hypot.f64 y.im y.re)) x.re) (hypot.f64 y.im y.re))
(/.f64 (*.f64 (fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im)) (/.f64 x.re (hypot.f64 y.im y.re))) (hypot.f64 y.im y.re))
(/.f64 (.f64 (fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im)) #s(literal 1 binary64)) (.f64 (hypot.f64 y.im y.re) (/.f64 (hypot.f64 y.im y.re) x.re)))
(/.f64 (*.f64 (neg.f64 (fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im))) x.re) (neg.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(/.f64 (.f64 (neg.f64 (fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im))) x.re) (.f64 (neg.f64 (hypot.f64 y.im y.re)) (neg.f64 (hypot.f64 y.im y.re))))
(/.f64 (.f64 (neg.f64 (fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im))) #s(literal 1 binary64)) (.f64 (neg.f64 (hypot.f64 y.im y.re)) (/.f64 (hypot.f64 y.im y.re) x.re)))
(/.f64 (*.f64 x.re (fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im))) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))
(/.f64 (*.f64 x.re (fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im))) (neg.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(/.f64 (.f64 x.re #s(literal 1 binary64)) (.f64 (hypot.f64 y.im y.re) (/.f64 (hypot.f64 y.im y.re) (fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im)))))
(/.f64 (.f64 x.re #s(literal 1 binary64)) (.f64 (neg.f64 (hypot.f64 y.im y.re)) (/.f64 (hypot.f64 y.im y.re) (fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im)))))
(/.f64 (*.f64 x.re (neg.f64 (fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im)))) (neg.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
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(+.f64 (.f64 x.im #s(literal 1 binary64)) (.f64 (/.f64 x.re (/.f64 y.re y.im)) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (+.f64 x.im (/.f64 x.re (/.f64 y.re y.im))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x.im (/.f64 x.re (/.f64 y.re y.im)))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x.im (/.f64 x.re (/.f64 y.re y.im)))))
(*.f64 (sqrt.f64 (+.f64 x.im (/.f64 x.re (/.f64 y.re y.im)))) (sqrt.f64 (+.f64 x.im (/.f64 x.re (/.f64 y.re y.im)))))
(.f64 (-.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (/.f64 x.re (/.f64 y.re y.im)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (.f64 (/.f64 x.re (/.f64 y.re y.im)) (+.f64 (/.f64 x.re (/.f64 y.re y.im)) x.im)))))
(*.f64 (pow.f64 (+.f64 x.im (/.f64 x.re (/.f64 y.re y.im))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x.im (/.f64 x.re (/.f64 y.re y.im)))))
(*.f64 (+.f64 (sqrt.f64 x.im) (sqrt.f64 (/.f64 x.re (/.f64 y.re y.im)))) (-.f64 (sqrt.f64 x.im) (sqrt.f64 (/.f64 x.re (/.f64 y.re y.im)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im x.im (*.f64 (/.f64 x.re (/.f64 y.re y.im)) (+.f64 (/.f64 x.re (/.f64 y.re y.im)) x.im))) (-.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (/.f64 x.re (/.f64 y.re y.im)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x.im (/.f64 x.re (/.f64 y.re y.im))) (pow.f64 (+.f64 x.im (/.f64 x.re (/.f64 y.re y.im))) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (/.f64 x.re (/.f64 y.re y.im)) #s(literal 3 binary64))) (fma.f64 x.im x.im (*.f64 (/.f64 x.re (/.f64 y.re y.im)) (+.f64 (/.f64 x.re (/.f64 y.re y.im)) x.im))))
(/.f64 (pow.f64 (+.f64 x.im (/.f64 x.re (/.f64 y.re y.im))) #s(literal 2 binary64)) (+.f64 x.im (/.f64 x.re (/.f64 y.re y.im))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (/.f64 x.re (/.f64 y.re y.im)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x.im x.im (*.f64 (/.f64 x.re (/.f64 y.re y.im)) (+.f64 (/.f64 x.re (/.f64 y.re y.im)) x.im)))))
(/.f64 (neg.f64 (pow.f64 (+.f64 x.im (/.f64 x.re (/.f64 y.re y.im))) #s(literal 2 binary64))) (+.f64 (neg.f64 x.im) (/.f64 x.re (/.f64 y.re y.im))))
(/.f64 (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (/.f64 x.re (/.f64 y.re y.im)) #s(literal 3 binary64))) (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 x.re (/.f64 y.re y.im)) #s(literal 2 binary64)) (*.f64 x.im (/.f64 x.re (/.f64 y.re y.im))))))
(pow.f64 (+.f64 x.im (/.f64 x.re (/.f64 y.re y.im))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x.im (/.f64 x.re (/.f64 y.re y.im)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x.im (/.f64 x.re (/.f64 y.re y.im))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x.im (/.f64 x.re (/.f64 y.re y.im)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 x.im (/.f64 x.re (/.f64 y.re y.im))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 x.im (/.f64 x.re (/.f64 y.re y.im)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x.im (/.f64 x.re (/.f64 y.re y.im))))))
(cbrt.f64 (pow.f64 (+.f64 x.im (/.f64 x.re (/.f64 y.re y.im))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 x.im (/.f64 x.re (/.f64 y.re y.im)))))
(log1p.f64 (expm1.f64 (+.f64 x.im (/.f64 x.re (/.f64 y.re y.im)))))
(exp.f64 (log.f64 (+.f64 x.im (/.f64 x.re (/.f64 y.re y.im)))))
(exp.f64 (*.f64 (log.f64 (+.f64 x.im (/.f64 x.re (/.f64 y.re y.im)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x.im (/.f64 x.re (/.f64 y.re y.im)))
(fma.f64 (cbrt.f64 (pow.f64 x.im #s(literal 2 binary64))) (cbrt.f64 x.im) (/.f64 x.re (/.f64 y.re y.im)))
(fma.f64 (sqrt.f64 x.im) (sqrt.f64 x.im) (/.f64 x.re (/.f64 y.re y.im)))

simplify395.0ms (3%)

Memory

10.4MiB live, 644.9MiB allocated

Algorithm

1×	egg-herbie

Rules

762×	`times-frac`
562×	`fma-define`
381×	`associate-*r/`
273×	`*-commutative`
256×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1149	41751
1	3014	37286

Stop Event

1×	node limit

Counts

924 → 732

Calls

Call 1

Inputs
(.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (/.f64 (.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (.f64 y.re (+.f64 (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 3 binary64))))))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (.f64 y.re (+.f64 (.f64 y.re (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.re) (pow.f64 y.im #s(literal 4 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.im #s(literal 3 binary64)))))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))))
(/.f64 x.im y.re)
(/.f64 (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) y.re))) y.re)
(/.f64 (+.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) y.re)))) y.re)
(/.f64 (-.f64 (+.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) y.re)) (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) y.re)
(/.f64 x.im y.re)
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.im) (/.f64 (*.f64 x.re y.im) y.re)) y.re))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.im) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 x.re y.im)) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) y.re))) y.re))) y.re))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.im) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 x.re y.im)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) y.re)) (.f64 #s(literal -1 binary64) (.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))) y.re))) y.re))) y.re))
(/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (.f64 x.im y.re) (.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (.f64 x.im y.re) (.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (.f64 x.im y.re) (.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(/.f64 x.im y.re)
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im y.re))
(+.f64 (.f64 y.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.im) (pow.f64 y.re #s(literal 3 binary64)))))) (/.f64 x.im y.re))
(+.f64 (.f64 y.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) (.f64 y.im (-.f64 (/.f64 (.f64 x.re y.im) (pow.f64 y.re #s(literal 4 binary64))) (/.f64 x.im (pow.f64 y.re #s(literal 3 binary64))))))) (/.f64 x.im y.re))
(*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))
(/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (.f64 x.im y.re) y.im)) y.im)
(/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (+.f64 (/.f64 (.f64 x.im y.re) y.im) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))))) y.im)
(/.f64 (-.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 (.f64 x.im y.re) y.im))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))))) y.im)
(*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.re (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) y.im))) y.im))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.re (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 x.im y.re) (/.f64 (.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) y.im)) y.im))) y.im))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.re (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) y.im) (.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) y.im)) (.f64 x.im y.re)) y.im))) y.im))
(.f64 #s(literal -1 binary64) (.f64 y.im (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 y.im (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (.f64 (/.f64 (.f64 x.im y.re) x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 y.im (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (.f64 (/.f64 (.f64 x.im y.re) x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 y.im (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (.f64 (/.f64 (.f64 x.im y.re) x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
(.f64 (/.f64 (.f64 x.im y.re) x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (.f64 (/.f64 y.im x.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (.f64 (/.f64 y.re x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (.f64 (/.f64 y.im x.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (.f64 (/.f64 y.re x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (.f64 (/.f64 y.im x.im) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (.f64 (/.f64 y.re x.re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
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(.f64 (.f64 (*.f64 x.re x.im) (/.f64 y.re x.re)) (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(.f64 (.f64 (*.f64 x.re x.im) (/.f64 y.re x.re)) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 x.re (/.f64 (.f64 x.im (/.f64 y.re x.re)) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (.f64 x.re (/.f64 (*.f64 x.im (/.f64 y.re x.re)) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))))
(.f64 (/.f64 (sqrt.f64 (.f64 (.f64 x.re x.im) (/.f64 y.re x.re))) (hypot.f64 y.im y.re)) (/.f64 (sqrt.f64 (.f64 (*.f64 x.re x.im) (/.f64 y.re x.re))) (hypot.f64 y.im y.re)))
(.f64 (/.f64 (.f64 x.im (/.f64 y.re x.re)) (hypot.f64 y.im y.re)) (/.f64 x.re (hypot.f64 y.im y.re)))
(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.im y.re)) (/.f64 (.f64 (*.f64 x.re x.im) (/.f64 y.re x.re)) (hypot.f64 y.im y.re)))
(.f64 (/.f64 x.re #s(literal 1 binary64)) (/.f64 (.f64 x.im (/.f64 y.re x.re)) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(.f64 (/.f64 x.re (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (.f64 x.im (/.f64 y.re x.re)) (cbrt.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(.f64 (/.f64 (.f64 x.im (/.f64 y.re x.re)) #s(literal 1 binary64)) (/.f64 x.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 x.im (/.f64 y.re x.re)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 x.re (cbrt.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (.f64 (*.f64 x.re x.im) (/.f64 y.re x.re)) (cbrt.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 x.re x.im) (/.f64 y.re x.re))) #s(literal 2 binary64)) (hypot.f64 y.im y.re)) (/.f64 (cbrt.f64 (.f64 (*.f64 x.re x.im) (/.f64 y.re x.re))) (hypot.f64 y.im y.re)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 x.re x.im) (/.f64 y.re x.re))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (.f64 (*.f64 x.re x.im) (/.f64 y.re x.re))) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 x.re x.im) (/.f64 y.re x.re))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (.f64 x.re (/.f64 (*.f64 x.im (/.f64 y.re x.re)) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))))
(.f64 (/.f64 (sqrt.f64 (.f64 (.f64 x.re x.im) (/.f64 y.re x.re))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (.f64 (*.f64 x.re x.im) (/.f64 y.re x.re))) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(.f64 (/.f64 (sqrt.f64 (.f64 (.f64 x.re x.im) (/.f64 y.re x.re))) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (.f64 (*.f64 x.re x.im) (/.f64 y.re x.re))) (cbrt.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(.f64 (/.f64 (.f64 x.re x.im) (hypot.f64 y.im y.re)) (/.f64 (/.f64 y.re x.re) (hypot.f64 y.im y.re)))
(.f64 (/.f64 (.f64 x.re x.im) #s(literal 1 binary64)) (/.f64 (/.f64 y.re x.re) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 x.re x.im) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (/.f64 y.re x.re) (cbrt.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(pow.f64 (.f64 x.re (/.f64 (.f64 x.im (/.f64 y.re x.re)) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 x.re (/.f64 (.f64 x.im (/.f64 y.re x.re)) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 x.re (/.f64 (.f64 x.im (/.f64 y.re x.re)) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 (.f64 (.f64 x.re x.im) (/.f64 y.re x.re))) (hypot.f64 y.im y.re)) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)) (.f64 (.f64 x.re x.im) (/.f64 y.re x.re))) #s(literal -1 binary64))
(neg.f64 (.f64 x.re (/.f64 (.f64 x.im (/.f64 y.re x.re)) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(sqrt.f64 (pow.f64 (.f64 x.re (/.f64 (.f64 x.im (/.f64 y.re x.re)) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x.re) (/.f64 (*.f64 x.im (/.f64 y.re x.re)) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 x.re (/.f64 (.f64 x.im (/.f64 y.re x.re)) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (.f64 x.re (/.f64 (.f64 x.im (/.f64 y.re x.re)) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (.f64 (.f64 x.re x.im) (/.f64 y.re x.re)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 x.re (/.f64 (.f64 x.im (/.f64 y.re x.re)) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (.f64 x.re (/.f64 (.f64 x.im (/.f64 y.re x.re)) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))))
(exp.f64 (log.f64 (.f64 x.re (/.f64 (.f64 x.im (/.f64 y.re x.re)) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))))
(exp.f64 (.f64 (log.f64 (.f64 x.re (/.f64 (*.f64 x.im (/.f64 y.re x.re)) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 x.re x.im) (/.f64 y.re x.re)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 x.re x.im) (/.f64 y.re x.re)))) #s(literal 1 binary64))
(/.f64 (*.f64 x.re x.im) (/.f64 x.re y.re))
(pow.f64 (.f64 (.f64 x.re x.im) (/.f64 y.re x.re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (.f64 x.re x.im) (/.f64 y.re x.re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (.f64 x.re x.im) (/.f64 y.re x.re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 (.f64 x.re x.im) (/.f64 y.re x.re))) #s(literal 2 binary64))
(neg.f64 (.f64 (.f64 x.re x.im) (/.f64 y.re x.re)))
(sqrt.f64 (pow.f64 (.f64 (.f64 x.re x.im) (/.f64 y.re x.re)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x.im) (/.f64 y.re x.re)) x.re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (.f64 x.re x.im) (/.f64 y.re x.re)))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 x.im) (/.f64 y.re x.re)) x.re)))
(cbrt.f64 (pow.f64 (.f64 (.f64 x.re x.im) (/.f64 y.re x.re)) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (.f64 x.im (/.f64 y.re x.re)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 x.im (/.f64 y.re x.re)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 (.f64 x.re x.im) (/.f64 y.re x.re))))
(log1p.f64 (expm1.f64 (.f64 (.f64 x.re x.im) (/.f64 y.re x.re))))
(exp.f64 (log.f64 (.f64 (.f64 x.re x.im) (/.f64 y.re x.re))))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 x.re x.im) (/.f64 y.re x.re))) #s(literal 1 binary64)))
(+.f64 x.im (/.f64 x.re (/.f64 y.re y.im)))
(+.f64 (+.f64 x.im (/.f64 x.re (/.f64 y.re y.im))) (fma.f64 (neg.f64 (/.f64 y.im y.re)) x.re (/.f64 x.re (/.f64 y.re y.im))))
(+.f64 (+.f64 x.im (/.f64 x.re (/.f64 y.re y.im))) (fma.f64 x.re (/.f64 y.im y.re) (/.f64 x.re (/.f64 y.re y.im))))
(+.f64 (+.f64 x.im (/.f64 x.re (/.f64 y.re y.im))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) y.re)) (*.f64 x.re y.im) (/.f64 x.re (/.f64 y.re y.im))))
(+.f64 (+.f64 x.im (/.f64 x.re (/.f64 y.re y.im))) (fma.f64 (*.f64 x.re y.im) (/.f64 #s(literal 1 binary64) y.re) (/.f64 x.re (/.f64 y.re y.im))))
(+.f64 (+.f64 x.im (/.f64 x.re (/.f64 y.re y.im))) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x.re (/.f64 y.re y.im)))) (sqrt.f64 (/.f64 x.re (/.f64 y.re y.im))) (/.f64 x.re (/.f64 y.re y.im))))
(+.f64 (fma.f64 #s(literal 1 binary64) x.im (neg.f64 (.f64 (/.f64 x.re y.re) y.im))) (fma.f64 (neg.f64 (/.f64 x.re y.re)) y.im (.f64 (/.f64 x.re y.re) y.im)))
(+.f64 (fma.f64 #s(literal 1 binary64) x.im (neg.f64 (.f64 (/.f64 x.re (/.f64 y.re y.im)) #s(literal 1 binary64)))) (fma.f64 (/.f64 x.re (/.f64 y.re y.im)) #s(literal 1 binary64) (.f64 (/.f64 x.re (/.f64 y.re y.im)) #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) x.im (neg.f64 (.f64 (cbrt.f64 (/.f64 x.re (/.f64 y.re y.im))) (pow.f64 (cbrt.f64 (/.f64 x.re (/.f64 y.re y.im))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x.re (/.f64 y.re y.im)))) (pow.f64 (cbrt.f64 (/.f64 x.re (/.f64 y.re y.im))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (/.f64 x.re (/.f64 y.re y.im))) (pow.f64 (cbrt.f64 (/.f64 x.re (/.f64 y.re y.im))) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 x.im #s(literal 2 binary64))) (cbrt.f64 x.im) (neg.f64 (.f64 (/.f64 x.re y.re) y.im))) (fma.f64 (neg.f64 (/.f64 x.re y.re)) y.im (.f64 (/.f64 x.re y.re) y.im)))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 x.im #s(literal 2 binary64))) (cbrt.f64 x.im) (neg.f64 (.f64 (/.f64 x.re (/.f64 y.re y.im)) #s(literal 1 binary64)))) (fma.f64 (/.f64 x.re (/.f64 y.re y.im)) #s(literal 1 binary64) (.f64 (/.f64 x.re (/.f64 y.re y.im)) #s(literal 1 binary64))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 x.im #s(literal 2 binary64))) (cbrt.f64 x.im) (neg.f64 (.f64 (cbrt.f64 (/.f64 x.re (/.f64 y.re y.im))) (pow.f64 (cbrt.f64 (/.f64 x.re (/.f64 y.re y.im))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x.re (/.f64 y.re y.im)))) (pow.f64 (cbrt.f64 (/.f64 x.re (/.f64 y.re y.im))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (/.f64 x.re (/.f64 y.re y.im))) (pow.f64 (cbrt.f64 (/.f64 x.re (/.f64 y.re y.im))) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (sqrt.f64 x.im) (sqrt.f64 x.im) (neg.f64 (.f64 (/.f64 x.re y.re) y.im))) (fma.f64 (neg.f64 (/.f64 x.re y.re)) y.im (.f64 (/.f64 x.re y.re) y.im)))
(+.f64 (fma.f64 (sqrt.f64 x.im) (sqrt.f64 x.im) (neg.f64 (.f64 (/.f64 x.re (/.f64 y.re y.im)) #s(literal 1 binary64)))) (fma.f64 (/.f64 x.re (/.f64 y.re y.im)) #s(literal 1 binary64) (.f64 (/.f64 x.re (/.f64 y.re y.im)) #s(literal 1 binary64))))
(+.f64 (fma.f64 (sqrt.f64 x.im) (sqrt.f64 x.im) (neg.f64 (.f64 (cbrt.f64 (/.f64 x.re (/.f64 y.re y.im))) (pow.f64 (cbrt.f64 (/.f64 x.re (/.f64 y.re y.im))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x.re (/.f64 y.re y.im)))) (pow.f64 (cbrt.f64 (/.f64 x.re (/.f64 y.re y.im))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (/.f64 x.re (/.f64 y.re y.im))) (pow.f64 (cbrt.f64 (/.f64 x.re (/.f64 y.re y.im))) #s(literal 2 binary64)))))
(+.f64 (.f64 x.im #s(literal 1 binary64)) (.f64 (/.f64 x.re (/.f64 y.re y.im)) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (+.f64 x.im (/.f64 x.re (/.f64 y.re y.im))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x.im (/.f64 x.re (/.f64 y.re y.im)))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x.im (/.f64 x.re (/.f64 y.re y.im)))))
(*.f64 (sqrt.f64 (+.f64 x.im (/.f64 x.re (/.f64 y.re y.im)))) (sqrt.f64 (+.f64 x.im (/.f64 x.re (/.f64 y.re y.im)))))
(.f64 (-.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (/.f64 x.re (/.f64 y.re y.im)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (.f64 (/.f64 x.re (/.f64 y.re y.im)) (+.f64 (/.f64 x.re (/.f64 y.re y.im)) x.im)))))
(*.f64 (pow.f64 (+.f64 x.im (/.f64 x.re (/.f64 y.re y.im))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x.im (/.f64 x.re (/.f64 y.re y.im)))))
(*.f64 (+.f64 (sqrt.f64 x.im) (sqrt.f64 (/.f64 x.re (/.f64 y.re y.im)))) (-.f64 (sqrt.f64 x.im) (sqrt.f64 (/.f64 x.re (/.f64 y.re y.im)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im x.im (*.f64 (/.f64 x.re (/.f64 y.re y.im)) (+.f64 (/.f64 x.re (/.f64 y.re y.im)) x.im))) (-.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (/.f64 x.re (/.f64 y.re y.im)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x.im (/.f64 x.re (/.f64 y.re y.im))) (pow.f64 (+.f64 x.im (/.f64 x.re (/.f64 y.re y.im))) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (/.f64 x.re (/.f64 y.re y.im)) #s(literal 3 binary64))) (fma.f64 x.im x.im (*.f64 (/.f64 x.re (/.f64 y.re y.im)) (+.f64 (/.f64 x.re (/.f64 y.re y.im)) x.im))))
(/.f64 (pow.f64 (+.f64 x.im (/.f64 x.re (/.f64 y.re y.im))) #s(literal 2 binary64)) (+.f64 x.im (/.f64 x.re (/.f64 y.re y.im))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (/.f64 x.re (/.f64 y.re y.im)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x.im x.im (*.f64 (/.f64 x.re (/.f64 y.re y.im)) (+.f64 (/.f64 x.re (/.f64 y.re y.im)) x.im)))))
(/.f64 (neg.f64 (pow.f64 (+.f64 x.im (/.f64 x.re (/.f64 y.re y.im))) #s(literal 2 binary64))) (+.f64 (neg.f64 x.im) (/.f64 x.re (/.f64 y.re y.im))))
(/.f64 (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (/.f64 x.re (/.f64 y.re y.im)) #s(literal 3 binary64))) (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 x.re (/.f64 y.re y.im)) #s(literal 2 binary64)) (*.f64 x.im (/.f64 x.re (/.f64 y.re y.im))))))
(pow.f64 (+.f64 x.im (/.f64 x.re (/.f64 y.re y.im))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x.im (/.f64 x.re (/.f64 y.re y.im)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x.im (/.f64 x.re (/.f64 y.re y.im))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x.im (/.f64 x.re (/.f64 y.re y.im)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 x.im (/.f64 x.re (/.f64 y.re y.im))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 x.im (/.f64 x.re (/.f64 y.re y.im)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x.im (/.f64 x.re (/.f64 y.re y.im))))))
(cbrt.f64 (pow.f64 (+.f64 x.im (/.f64 x.re (/.f64 y.re y.im))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 x.im (/.f64 x.re (/.f64 y.re y.im)))))
(log1p.f64 (expm1.f64 (+.f64 x.im (/.f64 x.re (/.f64 y.re y.im)))))
(exp.f64 (log.f64 (+.f64 x.im (/.f64 x.re (/.f64 y.re y.im)))))
(exp.f64 (*.f64 (log.f64 (+.f64 x.im (/.f64 x.re (/.f64 y.re y.im)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x.im (/.f64 x.re (/.f64 y.re y.im)))
(fma.f64 (cbrt.f64 (pow.f64 x.im #s(literal 2 binary64))) (cbrt.f64 x.im) (/.f64 x.re (/.f64 y.re y.im)))
(fma.f64 (sqrt.f64 x.im) (sqrt.f64 x.im) (/.f64 x.re (/.f64 y.re y.im)))

Outputs
(.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(/.f64 (*.f64 (neg.f64 x.re) y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 x.re (/.f64 (neg.f64 y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
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(fma.f64 x.im (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) (*.f64 x.re (/.f64 (neg.f64 y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
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(.f64 (/.f64 x.re (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) #s(literal 2 binary64))) (.f64 x.im (/.f64 (/.f64 y.re x.re) (cbrt.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))))
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(.f64 (/.f64 (.f64 x.re x.im) (hypot.f64 y.im y.re)) (/.f64 (/.f64 y.re x.re) (hypot.f64 y.im y.re)))
(/.f64 (.f64 (/.f64 y.re x.re) (.f64 x.re x.im)) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))
(/.f64 (.f64 x.re (.f64 x.im (/.f64 y.re x.re))) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 x.re x.im) #s(literal 1 binary64)) (/.f64 (/.f64 y.re x.re) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(/.f64 (.f64 (/.f64 y.re x.re) (.f64 x.re x.im)) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))
(/.f64 (.f64 x.re (.f64 x.im (/.f64 y.re x.re))) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 x.re x.im) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (/.f64 y.re x.re) (cbrt.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(.f64 (/.f64 x.re (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) #s(literal 2 binary64))) (.f64 x.im (/.f64 (/.f64 y.re x.re) (cbrt.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))))
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(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 x.re x.im) (/.f64 y.re x.re)))) #s(literal 1 binary64))
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(expm1.f64 (log1p.f64 (.f64 x.re (.f64 x.im (/.f64 y.re x.re)))))
(/.f64 (*.f64 x.re x.im) (/.f64 x.re y.re))
(.f64 (/.f64 (.f64 x.re x.im) x.re) y.re)
(*.f64 x.re (/.f64 x.im (/.f64 x.re y.re)))
(pow.f64 (.f64 (.f64 x.re x.im) (/.f64 y.re x.re)) #s(literal 1 binary64))
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(.f64 x.re (.f64 x.im (/.f64 y.re x.re)))
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(.f64 (/.f64 y.re x.re) (.f64 x.re x.im))
(.f64 x.re (.f64 x.im (/.f64 y.re x.re)))
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(.f64 (/.f64 y.re x.re) (.f64 x.re x.im))
(.f64 x.re (.f64 x.im (/.f64 y.re x.re)))
(neg.f64 (.f64 (.f64 x.re x.im) (/.f64 y.re x.re)))
(.f64 (.f64 x.re x.im) (neg.f64 (/.f64 y.re x.re)))
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(.f64 (/.f64 y.re x.re) (.f64 x.re x.im))
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(.f64 (/.f64 y.re x.re) (.f64 x.re x.im))
(.f64 x.re (.f64 x.im (/.f64 y.re x.re)))
(cbrt.f64 (.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (.f64 x.im (/.f64 y.re x.re)) #s(literal 3 binary64))))
(.f64 (/.f64 y.re x.re) (.f64 x.re x.im))
(.f64 x.re (.f64 x.im (/.f64 y.re x.re)))
(cbrt.f64 (.f64 (pow.f64 (.f64 x.im (/.f64 y.re x.re)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
(.f64 (/.f64 y.re x.re) (.f64 x.re x.im))
(.f64 x.re (.f64 x.im (/.f64 y.re x.re)))
(expm1.f64 (log1p.f64 (.f64 (.f64 x.re x.im) (/.f64 y.re x.re))))
(expm1.f64 (log1p.f64 (.f64 (/.f64 y.re x.re) (.f64 x.re x.im))))
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(.f64 x.re (.f64 x.im (/.f64 y.re x.re)))
(exp.f64 (log.f64 (.f64 (.f64 x.re x.im) (/.f64 y.re x.re))))
(.f64 (/.f64 y.re x.re) (.f64 x.re x.im))
(.f64 x.re (.f64 x.im (/.f64 y.re x.re)))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 x.re x.im) (/.f64 y.re x.re))) #s(literal 1 binary64)))
(.f64 (/.f64 y.re x.re) (.f64 x.re x.im))
(.f64 x.re (.f64 x.im (/.f64 y.re x.re)))
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(+.f64 (fma.f64 (cbrt.f64 (pow.f64 x.im #s(literal 2 binary64))) (cbrt.f64 x.im) (neg.f64 (.f64 (/.f64 x.re y.re) y.im))) (fma.f64 (neg.f64 (/.f64 x.re y.re)) y.im (.f64 (/.f64 x.re y.re) y.im)))
(+.f64 (fma.f64 (/.f64 x.re (neg.f64 y.re)) y.im (.f64 x.re (/.f64 y.im y.re))) (fma.f64 (cbrt.f64 (pow.f64 x.im #s(literal 2 binary64))) (cbrt.f64 x.im) (.f64 x.re (/.f64 y.im (neg.f64 y.re)))))
(+.f64 (.f64 #s(literal 0 binary64) (.f64 x.re (/.f64 y.im y.re))) (fma.f64 (cbrt.f64 (pow.f64 x.im #s(literal 2 binary64))) (cbrt.f64 x.im) (*.f64 x.re (/.f64 y.im (neg.f64 y.re)))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 x.im #s(literal 2 binary64))) (cbrt.f64 x.im) (neg.f64 (.f64 (/.f64 x.re (/.f64 y.re y.im)) #s(literal 1 binary64)))) (fma.f64 (/.f64 x.re (/.f64 y.re y.im)) #s(literal 1 binary64) (.f64 (/.f64 x.re (/.f64 y.re y.im)) #s(literal 1 binary64))))
(+.f64 (fma.f64 x.re (/.f64 y.im y.re) (.f64 x.re (/.f64 y.im y.re))) (fma.f64 (cbrt.f64 (pow.f64 x.im #s(literal 2 binary64))) (cbrt.f64 x.im) (.f64 x.re (/.f64 y.im (neg.f64 y.re)))))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x.re (/.f64 y.im y.re))) (fma.f64 (cbrt.f64 (pow.f64 x.im #s(literal 2 binary64))) (cbrt.f64 x.im) (*.f64 x.re (/.f64 y.im (neg.f64 y.re)))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 x.im #s(literal 2 binary64))) (cbrt.f64 x.im) (neg.f64 (.f64 (cbrt.f64 (/.f64 x.re (/.f64 y.re y.im))) (pow.f64 (cbrt.f64 (/.f64 x.re (/.f64 y.re y.im))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x.re (/.f64 y.re y.im)))) (pow.f64 (cbrt.f64 (/.f64 x.re (/.f64 y.re y.im))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (/.f64 x.re (/.f64 y.re y.im))) (pow.f64 (cbrt.f64 (/.f64 x.re (/.f64 y.re y.im))) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (/.f64 x.re (neg.f64 y.re)) y.im (.f64 x.re (/.f64 y.im y.re))) (fma.f64 (cbrt.f64 (pow.f64 x.im #s(literal 2 binary64))) (cbrt.f64 x.im) (.f64 x.re (/.f64 y.im (neg.f64 y.re)))))
(+.f64 (.f64 #s(literal 0 binary64) (.f64 x.re (/.f64 y.im y.re))) (fma.f64 (cbrt.f64 (pow.f64 x.im #s(literal 2 binary64))) (cbrt.f64 x.im) (*.f64 x.re (/.f64 y.im (neg.f64 y.re)))))
(+.f64 (fma.f64 (sqrt.f64 x.im) (sqrt.f64 x.im) (neg.f64 (.f64 (/.f64 x.re y.re) y.im))) (fma.f64 (neg.f64 (/.f64 x.re y.re)) y.im (.f64 (/.f64 x.re y.re) y.im)))
(+.f64 (fma.f64 (/.f64 x.re (neg.f64 y.re)) y.im (.f64 x.re (/.f64 y.im y.re))) (-.f64 x.im (.f64 x.re (/.f64 y.im y.re))))
(+.f64 (.f64 #s(literal 0 binary64) (.f64 x.re (/.f64 y.im y.re))) (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))))
(+.f64 (fma.f64 (sqrt.f64 x.im) (sqrt.f64 x.im) (neg.f64 (.f64 (/.f64 x.re (/.f64 y.re y.im)) #s(literal 1 binary64)))) (fma.f64 (/.f64 x.re (/.f64 y.re y.im)) #s(literal 1 binary64) (.f64 (/.f64 x.re (/.f64 y.re y.im)) #s(literal 1 binary64))))
(+.f64 (-.f64 x.im (.f64 x.re (/.f64 y.im y.re))) (fma.f64 x.re (/.f64 y.im y.re) (.f64 x.re (/.f64 y.im y.re))))
(+.f64 (-.f64 x.im (.f64 x.re (/.f64 y.im y.re))) (.f64 #s(literal 2 binary64) (*.f64 x.re (/.f64 y.im y.re))))
(+.f64 (fma.f64 (sqrt.f64 x.im) (sqrt.f64 x.im) (neg.f64 (.f64 (cbrt.f64 (/.f64 x.re (/.f64 y.re y.im))) (pow.f64 (cbrt.f64 (/.f64 x.re (/.f64 y.re y.im))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x.re (/.f64 y.re y.im)))) (pow.f64 (cbrt.f64 (/.f64 x.re (/.f64 y.re y.im))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (/.f64 x.re (/.f64 y.re y.im))) (pow.f64 (cbrt.f64 (/.f64 x.re (/.f64 y.re y.im))) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (/.f64 x.re (neg.f64 y.re)) y.im (.f64 x.re (/.f64 y.im y.re))) (-.f64 x.im (.f64 x.re (/.f64 y.im y.re))))
(+.f64 (.f64 #s(literal 0 binary64) (.f64 x.re (/.f64 y.im y.re))) (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))))
(+.f64 (.f64 x.im #s(literal 1 binary64)) (.f64 (/.f64 x.re (/.f64 y.re y.im)) #s(literal 1 binary64)))
(+.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))
(fma.f64 x.re (/.f64 y.im y.re) x.im)
(*.f64 #s(literal 1 binary64) (+.f64 x.im (/.f64 x.re (/.f64 y.re y.im))))
(+.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))
(fma.f64 x.re (/.f64 y.im y.re) x.im)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x.im (/.f64 x.re (/.f64 y.re y.im)))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x.im (/.f64 x.re (/.f64 y.re y.im)))))
(+.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))
(fma.f64 x.re (/.f64 y.im y.re) x.im)
(*.f64 (sqrt.f64 (+.f64 x.im (/.f64 x.re (/.f64 y.re y.im)))) (sqrt.f64 (+.f64 x.im (/.f64 x.re (/.f64 y.re y.im)))))
(+.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))
(fma.f64 x.re (/.f64 y.im y.re) x.im)
(.f64 (-.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (/.f64 x.re (/.f64 y.re y.im)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (.f64 (/.f64 x.re (/.f64 y.re y.im)) (+.f64 (/.f64 x.re (/.f64 y.re y.im)) x.im)))))
(.f64 (-.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (.f64 x.re (/.f64 y.im y.re)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (.f64 (.f64 x.re (/.f64 y.im y.re)) (+.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))))))
(/.f64 (-.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (.f64 x.re (/.f64 y.im y.re)) #s(literal 3 binary64))) (fma.f64 x.im x.im (.f64 (*.f64 x.re (/.f64 y.im y.re)) (fma.f64 x.re (/.f64 y.im y.re) x.im))))
(*.f64 (pow.f64 (+.f64 x.im (/.f64 x.re (/.f64 y.re y.im))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x.im (/.f64 x.re (/.f64 y.re y.im)))))
(.f64 (pow.f64 (+.f64 x.im (.f64 x.re (/.f64 y.im y.re))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))))
(/.f64 (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 2 binary64)) (fma.f64 x.re (/.f64 y.im y.re) x.im))
(*.f64 (+.f64 (sqrt.f64 x.im) (sqrt.f64 (/.f64 x.re (/.f64 y.re y.im)))) (-.f64 (sqrt.f64 x.im) (sqrt.f64 (/.f64 x.re (/.f64 y.re y.im)))))
(.f64 (+.f64 (sqrt.f64 (.f64 x.re (/.f64 y.im y.re))) (sqrt.f64 x.im)) (-.f64 (sqrt.f64 x.im) (sqrt.f64 (*.f64 x.re (/.f64 y.im y.re)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im x.im (*.f64 (/.f64 x.re (/.f64 y.re y.im)) (+.f64 (/.f64 x.re (/.f64 y.re y.im)) x.im))) (-.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (/.f64 x.re (/.f64 y.re y.im)) #s(literal 3 binary64)))))
(.f64 (-.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (.f64 x.re (/.f64 y.im y.re)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (.f64 (.f64 x.re (/.f64 y.im y.re)) (+.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))))))
(/.f64 (-.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (.f64 x.re (/.f64 y.im y.re)) #s(literal 3 binary64))) (fma.f64 x.im x.im (.f64 (*.f64 x.re (/.f64 y.im y.re)) (fma.f64 x.re (/.f64 y.im y.re) x.im))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x.im (/.f64 x.re (/.f64 y.re y.im))) (pow.f64 (+.f64 x.im (/.f64 x.re (/.f64 y.re y.im))) #s(literal 2 binary64))))
(.f64 (pow.f64 (+.f64 x.im (.f64 x.re (/.f64 y.im y.re))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))))
(/.f64 (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 2 binary64)) (fma.f64 x.re (/.f64 y.im y.re) x.im))
(/.f64 (-.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (/.f64 x.re (/.f64 y.re y.im)) #s(literal 3 binary64))) (fma.f64 x.im x.im (*.f64 (/.f64 x.re (/.f64 y.re y.im)) (+.f64 (/.f64 x.re (/.f64 y.re y.im)) x.im))))
(.f64 (-.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (.f64 x.re (/.f64 y.im y.re)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (.f64 (.f64 x.re (/.f64 y.im y.re)) (+.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))))))
(/.f64 (-.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (.f64 x.re (/.f64 y.im y.re)) #s(literal 3 binary64))) (fma.f64 x.im x.im (.f64 (*.f64 x.re (/.f64 y.im y.re)) (fma.f64 x.re (/.f64 y.im y.re) x.im))))
(/.f64 (pow.f64 (+.f64 x.im (/.f64 x.re (/.f64 y.re y.im))) #s(literal 2 binary64)) (+.f64 x.im (/.f64 x.re (/.f64 y.re y.im))))
(.f64 (pow.f64 (+.f64 x.im (.f64 x.re (/.f64 y.im y.re))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))))
(/.f64 (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 2 binary64)) (fma.f64 x.re (/.f64 y.im y.re) x.im))
(/.f64 (neg.f64 (-.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (/.f64 x.re (/.f64 y.re y.im)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x.im x.im (*.f64 (/.f64 x.re (/.f64 y.re y.im)) (+.f64 (/.f64 x.re (/.f64 y.re y.im)) x.im)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (.f64 x.re (/.f64 y.im y.re)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x.im x.im (.f64 (.f64 x.re (/.f64 y.im y.re)) (+.f64 x.im (.f64 x.re (/.f64 y.im y.re)))))))
(.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (.f64 x.re (/.f64 y.im y.re)) #s(literal 3 binary64))) (fma.f64 x.im x.im (.f64 (.f64 x.re (/.f64 y.im y.re)) (fma.f64 x.re (/.f64 y.im y.re) x.im)))))
(/.f64 (neg.f64 (pow.f64 (+.f64 x.im (/.f64 x.re (/.f64 y.re y.im))) #s(literal 2 binary64))) (+.f64 (neg.f64 x.im) (/.f64 x.re (/.f64 y.re y.im))))
(neg.f64 (/.f64 (pow.f64 (+.f64 x.im (.f64 x.re (/.f64 y.im y.re))) #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) x.im (.f64 x.re (/.f64 y.im y.re)))))
(/.f64 (pow.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im) #s(literal 2 binary64)) (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))))
(/.f64 (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (/.f64 x.re (/.f64 y.re y.im)) #s(literal 3 binary64))) (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 x.re (/.f64 y.re y.im)) #s(literal 2 binary64)) (*.f64 x.im (/.f64 x.re (/.f64 y.re y.im))))))
(/.f64 (+.f64 (pow.f64 (.f64 x.re (/.f64 y.im y.re)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 x.re (/.f64 y.im y.re)) #s(literal 2 binary64)) (.f64 x.im (.f64 x.re (/.f64 y.im y.re))))))
(/.f64 (+.f64 (pow.f64 (.f64 x.re (/.f64 y.im y.re)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (fma.f64 x.im x.im (.f64 (.f64 x.re (/.f64 y.im y.re)) (-.f64 (.f64 x.re (/.f64 y.im y.re)) x.im))))
(pow.f64 (+.f64 x.im (/.f64 x.re (/.f64 y.re y.im))) #s(literal 1 binary64))
(+.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))
(fma.f64 x.re (/.f64 y.im y.re) x.im)
(pow.f64 (cbrt.f64 (+.f64 x.im (/.f64 x.re (/.f64 y.re y.im)))) #s(literal 3 binary64))
(+.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))
(fma.f64 x.re (/.f64 y.im y.re) x.im)
(pow.f64 (pow.f64 (+.f64 x.im (/.f64 x.re (/.f64 y.re y.im))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(+.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))
(fma.f64 x.re (/.f64 y.im y.re) x.im)
(pow.f64 (sqrt.f64 (+.f64 x.im (/.f64 x.re (/.f64 y.re y.im)))) #s(literal 2 binary64))
(+.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))
(fma.f64 x.re (/.f64 y.im y.re) x.im)
(sqrt.f64 (pow.f64 (+.f64 x.im (/.f64 x.re (/.f64 y.re y.im))) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) #s(literal 2 binary64)))
(fabs.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im))
(log.f64 (exp.f64 (+.f64 x.im (/.f64 x.re (/.f64 y.re y.im)))))
(+.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))
(fma.f64 x.re (/.f64 y.im y.re) x.im)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x.im (/.f64 x.re (/.f64 y.re y.im))))))
(+.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))
(fma.f64 x.re (/.f64 y.im y.re) x.im)
(cbrt.f64 (pow.f64 (+.f64 x.im (/.f64 x.re (/.f64 y.re y.im))) #s(literal 3 binary64)))
(+.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))
(fma.f64 x.re (/.f64 y.im y.re) x.im)
(expm1.f64 (log1p.f64 (+.f64 x.im (/.f64 x.re (/.f64 y.re y.im)))))
(expm1.f64 (log1p.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))))
(expm1.f64 (log1p.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)))
(log1p.f64 (expm1.f64 (+.f64 x.im (/.f64 x.re (/.f64 y.re y.im)))))
(+.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))
(fma.f64 x.re (/.f64 y.im y.re) x.im)
(exp.f64 (log.f64 (+.f64 x.im (/.f64 x.re (/.f64 y.re y.im)))))
(+.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))
(fma.f64 x.re (/.f64 y.im y.re) x.im)
(exp.f64 (*.f64 (log.f64 (+.f64 x.im (/.f64 x.re (/.f64 y.re y.im)))) #s(literal 1 binary64)))
(+.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))
(fma.f64 x.re (/.f64 y.im y.re) x.im)
(fma.f64 #s(literal 1 binary64) x.im (/.f64 x.re (/.f64 y.re y.im)))
(+.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))
(fma.f64 x.re (/.f64 y.im y.re) x.im)
(fma.f64 (cbrt.f64 (pow.f64 x.im #s(literal 2 binary64))) (cbrt.f64 x.im) (/.f64 x.re (/.f64 y.re y.im)))
(fma.f64 (cbrt.f64 (pow.f64 x.im #s(literal 2 binary64))) (cbrt.f64 x.im) (*.f64 x.re (/.f64 y.im y.re)))
(fma.f64 (sqrt.f64 x.im) (sqrt.f64 x.im) (/.f64 x.re (/.f64 y.re y.im)))
(+.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))
(fma.f64 x.re (/.f64 y.im y.re) x.im)

eval215.0ms (1.6%)

Memory: 29.9MiB live, 302.0MiB allocated
Compiler: Compiled 17 005 to 3 181 computations (81.3% saved)

prune455.0ms (3.5%)

Memory

-19.5MiB live, 311.1MiB allocated

Pruning

23 alts after pruning (16 fresh and 7 done)

	Pruned	Kept	Total
New	917	6	923
Fresh	3	10	13
Picked	1	4	5
Done	0	3	3
Total	921	23	944

Accuracy

100.0%

Counts

944 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	13.2%	(pow.f64 (sqrt.f64 (/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.re y.im))) y.im)) #s(literal 2 binary64))
	48.9%	(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
	50.2%	(/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)
✓	64.7%	(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
✓	59.4%	(/.f64 (-.f64 x.im (/.f64 (*.f64 y.im x.re) y.re)) y.re)
	61.0%	(/.f64 (-.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y.re y.im) x.re))) y.re)
✓	59.4%	(/.f64 (-.f64 x.im (.f64 (.f64 y.im x.re) (/.f64 #s(literal 1 binary64) y.re))) y.re)
✓	61.0%	(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
	44.9%	(/.f64 (-.f64 x.im (*.f64 x.im (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64)))) y.re)
▶	73.8%	(/.f64 (*.f64 (/.f64 (fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im)) (hypot.f64 y.im y.re)) x.re) (hypot.f64 y.im y.re))
	26.8%	(/.f64 (*.f64 y.im (/.f64 x.re (neg.f64 y.re))) y.re)
▶	26.8%	(/.f64 (*.f64 x.re (/.f64 (neg.f64 y.im) y.re)) y.re)
✓	29.0%	(/.f64 (.f64 x.re (.f64 x.im (/.f64 y.re x.re))) (fma.f64 y.im y.im (*.f64 y.re y.re)))
✓	39.3%	(/.f64 (neg.f64 x.re) y.im)
▶	10.3%	(/.f64 x.re y.im)
✓	47.0%	(/.f64 x.im y.re)
	10.3%	(/.f64 #s(literal 1 binary64) (/.f64 y.im x.re))
▶	33.3%	(*.f64 (/.f64 x.im (neg.f64 x.re)) (/.f64 x.re (hypot.f64 y.im y.re)))
▶	60.5%	(.f64 (-.f64 x.im (.f64 y.im (/.f64 x.re y.re))) (/.f64 #s(literal 1 binary64) y.re))
	39.2%	(*.f64 x.re (/.f64 #s(literal 1 binary64) (neg.f64 y.im)))
	46.9%	(*.f64 x.im (/.f64 #s(literal 1 binary64) y.re))
	41.2%	(neg.f64 (/.f64 (/.f64 (-.f64 (.f64 x.re y.im) (.f64 x.im y.re)) y.im) y.im))
	47.5%	(neg.f64 (/.f64 (.f64 x.re (-.f64 #s(literal 1 binary64) (.f64 x.im (/.f64 (/.f64 y.re y.im) x.re)))) y.im))

Compiler

Compiled 523 to 342 computations (34.6% saved)

simplify98.0ms (0.8%)

Memory

-13.1MiB live, 25.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 x.re (hypot.f64 y.im y.re))
	cost-diff	0	(neg.f64 x.re)
✓	cost-diff	0	(/.f64 x.im (neg.f64 x.re))
✓	cost-diff	256	(*.f64 (/.f64 x.im (neg.f64 x.re)) (/.f64 x.re (hypot.f64 y.im y.re)))
✓	cost-diff	-6208	(.f64 (-.f64 x.im (.f64 y.im (/.f64 x.re y.re))) (/.f64 #s(literal 1 binary64) y.re))
	cost-diff	0	(/.f64 #s(literal 1 binary64) y.re)
✓	cost-diff	0	(/.f64 x.re y.re)
✓	cost-diff	0	(*.f64 y.im (/.f64 x.re y.re))
	cost-diff	0	(neg.f64 y.im)
✓	cost-diff	0	(/.f64 (neg.f64 y.im) y.re)
✓	cost-diff	0	(*.f64 x.re (/.f64 (neg.f64 y.im) y.re))
✓	cost-diff	0	(/.f64 (*.f64 x.re (/.f64 (neg.f64 y.im) y.re)) y.re)
✓	cost-diff	0	(/.f64 x.re y.im)
✓	cost-diff	128	(*.f64 (/.f64 (fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im)) (hypot.f64 y.im y.re)) x.re)
✓	cost-diff	6336	(fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im))
✓	cost-diff	6336	(/.f64 (fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im)) (hypot.f64 y.im y.re))
✓	cost-diff	6528	(/.f64 (*.f64 (/.f64 (fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im)) (hypot.f64 y.im y.re)) x.re) (hypot.f64 y.im y.re))

Rules

787×	`fmm-def`
518×	`div-sub`
505×	`distribute-lft-neg-in`
494×	`fma-define`
313×	`distribute-lft-in`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	34	642
1	79	636
2	174	632
3	466	614
4	1142	596
5	2946	596
6	4922	596
7	7136	596

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (*.f64 (/.f64 (fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im)) (hypot.f64 y.im y.re)) x.re) (hypot.f64 y.im y.re))
(*.f64 (/.f64 (fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im)) (hypot.f64 y.im y.re)) x.re)
(/.f64 (fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im)) (hypot.f64 y.im y.re))
(fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im))
x.im
(/.f64 y.re x.re)
y.re
x.re
(neg.f64 y.im)
y.im
(hypot.f64 y.im y.re)
(/.f64 x.re y.im)
x.re
y.im
(/.f64 (*.f64 x.re (/.f64 (neg.f64 y.im) y.re)) y.re)
(*.f64 x.re (/.f64 (neg.f64 y.im) y.re))
x.re
(/.f64 (neg.f64 y.im) y.re)
(neg.f64 y.im)
y.im
y.re
(.f64 (-.f64 x.im (.f64 y.im (/.f64 x.re y.re))) (/.f64 #s(literal 1 binary64) y.re))
(-.f64 x.im (*.f64 y.im (/.f64 x.re y.re)))
x.im
(*.f64 y.im (/.f64 x.re y.re))
y.im
(/.f64 x.re y.re)
x.re
y.re
(/.f64 #s(literal 1 binary64) y.re)
#s(literal 1 binary64)
(*.f64 (/.f64 x.im (neg.f64 x.re)) (/.f64 x.re (hypot.f64 y.im y.re)))
(/.f64 x.im (neg.f64 x.re))
x.im
(neg.f64 x.re)
x.re
(/.f64 x.re (hypot.f64 y.im y.re))
(hypot.f64 y.im y.re)
y.im
y.re

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

localize163.0ms (1.2%)

Memory

-3.7MiB live, 196.3MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 x.re (hypot.f64 y.im y.re))
✓	accuracy	100.0%	(/.f64 x.im (neg.f64 x.re))
	accuracy	100.0%	(neg.f64 x.re)
✓	accuracy	75.8%	(*.f64 (/.f64 x.im (neg.f64 x.re)) (/.f64 x.re (hypot.f64 y.im y.re)))
	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y.re)
✓	accuracy	100.0%	(-.f64 x.im (*.f64 y.im (/.f64 x.re y.re)))
✓	accuracy	97.9%	(.f64 (-.f64 x.im (.f64 y.im (/.f64 x.re y.re))) (/.f64 #s(literal 1 binary64) y.re))
✓	accuracy	89.0%	(*.f64 y.im (/.f64 x.re y.re))
✓	accuracy	100.0%	(/.f64 (neg.f64 y.im) y.re)
	accuracy	100.0%	(neg.f64 y.im)
✓	accuracy	97.7%	(/.f64 (*.f64 x.re (/.f64 (neg.f64 y.im) y.re)) y.re)
✓	accuracy	91.9%	(*.f64 x.re (/.f64 (neg.f64 y.im) y.re))
✓	accuracy	100.0%	(/.f64 x.re y.im)
✓	accuracy	99.9%	(/.f64 (*.f64 (/.f64 (fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im)) (hypot.f64 y.im y.re)) x.re) (hypot.f64 y.im y.re))
✓	accuracy	93.3%	(fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im))
✓	accuracy	90.2%	(*.f64 (/.f64 (fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im)) (hypot.f64 y.im y.re)) x.re)
✓	accuracy	88.9%	(/.f64 (fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im)) (hypot.f64 y.im y.re))

Samples

56.0ms

256×

valid

Compiler

Compiled 152 to 28 computations (81.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-div: 18.0ms (47.6% of total)

ival-mult: 10.0ms (26.5% of total)

ival-hypot: 5.0ms (13.2% of total)

ival-neg: 2.0ms (5.3% of total)

ival-add: 1.0ms (2.6% of total)

ival-sub: 1.0ms (2.6% of total)

ival-assert: 0.0ms (0% of total)

...in/eval/compile.rkt:76:19: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series55.0ms (0.4%)

Memory

23.2MiB live, 138.8MiB allocated

Counts

15 → 528

Calls

Call 1

Inputs
#<alt (/.f64 (*.f64 (/.f64 (fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im)) (hypot.f64 y.im y.re)) x.re) (hypot.f64 y.im y.re))>
#<alt (/.f64 (fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im)) (hypot.f64 y.im y.re))>
#<alt (fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im))>
#<alt (*.f64 (/.f64 (fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im)) (hypot.f64 y.im y.re)) x.re)>
#<alt (/.f64 x.re y.im)>
#<alt (/.f64 (*.f64 x.re (/.f64 (neg.f64 y.im) y.re)) y.re)>
#<alt (*.f64 x.re (/.f64 (neg.f64 y.im) y.re))>
#<alt (/.f64 (neg.f64 y.im) y.re)>
#<alt (*.f64 y.im (/.f64 x.re y.re))>
#<alt (/.f64 x.re y.re)>
#<alt (.f64 (-.f64 x.im (.f64 y.im (/.f64 x.re y.re))) (/.f64 #s(literal 1 binary64) y.re))>
#<alt (*.f64 (/.f64 x.im (neg.f64 x.re)) (/.f64 x.re (hypot.f64 y.im y.re)))>
#<alt (/.f64 x.im (neg.f64 x.re))>
#<alt (/.f64 x.re (hypot.f64 y.im y.re))>
#<alt (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re)))>

Outputs
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (/.f64 (.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (.f64 y.re (+.f64 (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 3 binary64))))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x.re y.im)) (.f64 y.re (+.f64 (.f64 y.re (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.re) (pow.f64 y.im #s(literal 4 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.im #s(literal 3 binary64)))))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))))>
#<alt (/.f64 x.im y.re)>
#<alt (/.f64 (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) y.re))) y.re)>
#<alt (/.f64 (+.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) y.re)))) y.re)>
#<alt (/.f64 (-.f64 (+.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) y.re)) (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) y.re)>
#<alt (/.f64 x.im y.re)>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.im) (/.f64 (*.f64 x.re y.im) y.re)) y.re))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.im) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 x.re y.im)) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) y.re))) y.re))) y.re))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.im) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 x.re y.im)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) y.re)) (.f64 #s(literal -1 binary64) (.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))) y.re))) y.re))) y.re))>
#<alt (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (.f64 x.im y.re) (.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
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#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.re y.re))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.re (.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64))))) y.re))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.re (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64))))) (pow.f64 y.re #s(literal 4 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))))) y.re))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.re (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64))))) (pow.f64 y.re #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x.re (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64)))))) (pow.f64 y.im #s(literal 6 binary64)))) (pow.f64 y.re #s(literal 6 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64))))))) y.re))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) y.re))>
#<alt (-.f64 x.im (/.f64 (*.f64 x.re y.im) y.re))>
#<alt (-.f64 x.im (/.f64 (*.f64 x.re y.im) y.re))>
#<alt (-.f64 x.im (/.f64 (*.f64 x.re y.im) y.re))>
#<alt x.im>
#<alt (.f64 x.im (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (.f64 x.im y.re)))))>
#<alt (.f64 x.im (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (.f64 x.im y.re)))))>
#<alt (.f64 x.im (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (.f64 x.im y.re)))))>
#<alt x.im>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.im (-.f64 (/.f64 (.f64 x.re y.im) (.f64 x.im y.re)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.im (-.f64 (/.f64 (.f64 x.re y.im) (.f64 x.im y.re)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.im (-.f64 (/.f64 (.f64 x.re y.im) (.f64 x.im y.re)) #s(literal 1 binary64))))>
#<alt x.im>
#<alt (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) y.re)))>
#<alt (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) y.re)))>
#<alt (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) y.re)))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) y.re))>
#<alt (*.f64 y.im (-.f64 (/.f64 x.im y.im) (/.f64 x.re y.re)))>
#<alt (*.f64 y.im (-.f64 (/.f64 x.im y.im) (/.f64 x.re y.re)))>
#<alt (*.f64 y.im (-.f64 (/.f64 x.im y.im) (/.f64 x.re y.re)))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) y.re))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y.im (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x.im y.im)) (.f64 #s(literal -1 binary64) (/.f64 x.re y.re)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y.im (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x.im y.im)) (.f64 #s(literal -1 binary64) (/.f64 x.re y.re)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y.im (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x.im y.im)) (.f64 #s(literal -1 binary64) (/.f64 x.re y.re)))))>
#<alt x.im>
#<alt (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) y.re)))>
#<alt (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) y.re)))>
#<alt (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) y.re)))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) y.re))>
#<alt (*.f64 x.re (-.f64 (/.f64 x.im x.re) (/.f64 y.im y.re)))>
#<alt (*.f64 x.re (-.f64 (/.f64 x.im x.re) (/.f64 y.im y.re)))>
#<alt (*.f64 x.re (-.f64 (/.f64 x.im x.re) (/.f64 y.im y.re)))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) y.re))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.re (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) (.f64 #s(literal -1 binary64) (/.f64 y.im y.re)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.re (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) (.f64 #s(literal -1 binary64) (/.f64 y.im y.re)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.re (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) (.f64 #s(literal -1 binary64) (/.f64 y.im y.re)))))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) y.re))>
#<alt (/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) y.re)>
#<alt (/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) y.re)>
#<alt (/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) y.re)>
#<alt x.im>
#<alt (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) y.re)))>
#<alt (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) y.re)))>
#<alt (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) y.re)))>
#<alt x.im>
#<alt (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) y.re)))>
#<alt (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) y.re)))>
#<alt (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) y.re)))>

Calls

144 calls:

Time	Variable		Point	Expression
3.0ms	y.im	@	inf	(/ x.re (sqrt (+ (* y.im y.im) (* y.re y.re))))
1.0ms	y.im	@	0	(+ (* x.im (/ y.re x.re)) (neg y.im))
1.0ms	x.re	@	-inf	(* (/ (+ (* x.im (/ y.re x.re)) (neg y.im)) (sqrt (+ (* y.im y.im) (* y.re y.re)))) x.re)
1.0ms	x.re	@	0	(/ (* x.re (/ (neg y.im) y.re)) y.re)
1.0ms	x.re	@	0	(* (/ x.im (neg x.re)) (/ x.re (sqrt (+ (* y.im y.im) (* y.re y.re)))))

rewrite158.0ms (1.2%)

Memory

-18.3MiB live, 183.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

272×	`associate-r`
259×	`log1p-expm1-u`
259×	`expm1-log1p-u`
257×	`add-exp-log`
257×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	494
1	575	446

Stop Event

1×	node limit

Counts

15 → 480

Calls

Call 1

Inputs
(/.f64 (*.f64 (/.f64 (fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im)) (hypot.f64 y.im y.re)) x.re) (hypot.f64 y.im y.re))
(/.f64 (fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im)) (hypot.f64 y.im y.re))
(fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im))
(*.f64 (/.f64 (fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im)) (hypot.f64 y.im y.re)) x.re)
(/.f64 x.re y.im)
(/.f64 (*.f64 x.re (/.f64 (neg.f64 y.im) y.re)) y.re)
(*.f64 x.re (/.f64 (neg.f64 y.im) y.re))
(/.f64 (neg.f64 y.im) y.re)
(*.f64 y.im (/.f64 x.re y.re))
(/.f64 x.re y.re)
(.f64 (-.f64 x.im (.f64 y.im (/.f64 x.re y.re))) (/.f64 #s(literal 1 binary64) y.re))
(*.f64 (/.f64 x.im (neg.f64 x.re)) (/.f64 x.re (hypot.f64 y.im y.re)))
(/.f64 x.im (neg.f64 x.re))
(/.f64 x.re (hypot.f64 y.im y.re))
(-.f64 x.im (*.f64 y.im (/.f64 x.re y.re)))

Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (fma.f64 x.im (/.f64 y.re x.re) y.im) x.re) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 (/.f64 (fma.f64 x.im (/.f64 y.re x.re) y.im) (hypot.f64 y.im y.re)) (/.f64 x.re (hypot.f64 y.im y.re)))
(.f64 (.f64 x.re (/.f64 (fma.f64 x.im (/.f64 y.re x.re) y.im) (hypot.f64 y.im y.re))) (/.f64 #s(literal 1 binary64) (hypot.f64 y.im y.re)))
(.f64 (.f64 x.re (/.f64 (fma.f64 x.im (/.f64 y.re x.re) y.im) (hypot.f64 y.im y.re))) (/.f64 #s(literal 1 binary64) (neg.f64 (hypot.f64 y.im y.re))))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 x.im (/.f64 y.re x.re) y.im) x.re) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (.f64 (fma.f64 x.im (/.f64 y.re x.re) y.im) x.re) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (*.f64 (fma.f64 x.im (/.f64 y.re x.re) y.im) x.re) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (/.f64 (.f64 (fma.f64 x.im (/.f64 y.re x.re) y.im) x.re) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 (*.f64 (fma.f64 x.im (/.f64 y.re x.re) y.im) x.re) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(*.f64 (/.f64 x.re #s(literal 1 binary64)) (/.f64 (/.f64 (fma.f64 x.im (/.f64 y.re x.re) y.im) (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)))
(*.f64 (/.f64 x.re (pow.f64 (cbrt.f64 (hypot.f64 y.im y.re)) #s(literal 2 binary64))) (/.f64 (/.f64 (fma.f64 x.im (/.f64 y.re x.re) y.im) (hypot.f64 y.im y.re)) (cbrt.f64 (hypot.f64 y.im y.re))))
(*.f64 (/.f64 x.re (sqrt.f64 (hypot.f64 y.im y.re))) (/.f64 (/.f64 (fma.f64 x.im (/.f64 y.re x.re) y.im) (hypot.f64 y.im y.re)) (sqrt.f64 (hypot.f64 y.im y.re))))
(*.f64 (/.f64 (/.f64 (fma.f64 x.im (/.f64 y.re x.re) y.im) (hypot.f64 y.im y.re)) (sqrt.f64 (hypot.f64 y.im y.re))) (/.f64 x.re (sqrt.f64 (hypot.f64 y.im y.re))))
(*.f64 (/.f64 (/.f64 (fma.f64 x.im (/.f64 y.re x.re) y.im) (hypot.f64 y.im y.re)) #s(literal 1 binary64)) (/.f64 x.re (hypot.f64 y.im y.re)))
(*.f64 (/.f64 (/.f64 (fma.f64 x.im (/.f64 y.re x.re) y.im) (hypot.f64 y.im y.re)) (pow.f64 (cbrt.f64 (hypot.f64 y.im y.re)) #s(literal 2 binary64))) (/.f64 x.re (cbrt.f64 (hypot.f64 y.im y.re))))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (hypot.f64 y.im y.re)) #s(literal 2 binary64))) (/.f64 (.f64 x.re (/.f64 (fma.f64 x.im (/.f64 y.re x.re) y.im) (hypot.f64 y.im y.re))) (cbrt.f64 (hypot.f64 y.im y.re))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (hypot.f64 y.im y.re))) (/.f64 (.f64 x.re (/.f64 (fma.f64 x.im (/.f64 y.re x.re) y.im) (hypot.f64 y.im y.re))) (sqrt.f64 (hypot.f64 y.im y.re))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 x.re (/.f64 (fma.f64 x.im (/.f64 y.re x.re) y.im) (hypot.f64 y.im y.re))) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 x.re (/.f64 (fma.f64 x.im (/.f64 y.re x.re) y.im) (hypot.f64 y.im y.re)))) (hypot.f64 y.im y.re)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 x.re (/.f64 (fma.f64 x.im (/.f64 y.re x.re) y.im) (hypot.f64 y.im y.re))) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (hypot.f64 y.im y.re)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (*.f64 (fma.f64 x.im (/.f64 y.re x.re) y.im) x.re) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 x.re (/.f64 (fma.f64 x.im (/.f64 y.re x.re) y.im) (hypot.f64 y.im y.re))) #s(literal 2 binary64))) (sqrt.f64 (hypot.f64 y.im y.re))) (/.f64 (cbrt.f64 (*.f64 x.re (/.f64 (fma.f64 x.im (/.f64 y.re x.re) y.im) (hypot.f64 y.im y.re)))) (sqrt.f64 (hypot.f64 y.im y.re))))
(.f64 (/.f64 (sqrt.f64 (.f64 x.re (/.f64 (fma.f64 x.im (/.f64 y.re x.re) y.im) (hypot.f64 y.im y.re)))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 x.re (/.f64 (fma.f64 x.im (/.f64 y.re x.re) y.im) (hypot.f64 y.im y.re)))) (hypot.f64 y.im y.re)))
(.f64 (/.f64 (sqrt.f64 (.f64 x.re (/.f64 (fma.f64 x.im (/.f64 y.re x.re) y.im) (hypot.f64 y.im y.re)))) (pow.f64 (cbrt.f64 (hypot.f64 y.im y.re)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 x.re (/.f64 (fma.f64 x.im (/.f64 y.re x.re) y.im) (hypot.f64 y.im y.re)))) (cbrt.f64 (hypot.f64 y.im y.re))))
(.f64 (.f64 (/.f64 (fma.f64 x.im (/.f64 y.re x.re) y.im) (hypot.f64 y.im y.re)) #s(literal 1 binary64)) (/.f64 x.re (hypot.f64 y.im y.re)))
(.f64 (.f64 (/.f64 (fma.f64 x.im (/.f64 y.re x.re) y.im) (hypot.f64 y.im y.re)) (pow.f64 (cbrt.f64 (/.f64 x.re (hypot.f64 y.im y.re))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x.re (hypot.f64 y.im y.re))))
(.f64 (.f64 (/.f64 (fma.f64 x.im (/.f64 y.re x.re) y.im) (hypot.f64 y.im y.re)) (sqrt.f64 (/.f64 x.re (hypot.f64 y.im y.re)))) (sqrt.f64 (/.f64 x.re (hypot.f64 y.im y.re))))
(pow.f64 (/.f64 (*.f64 (fma.f64 x.im (/.f64 y.re x.re) y.im) x.re) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 (fma.f64 x.im (/.f64 y.re x.re) y.im) x.re) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 x.im (/.f64 y.re x.re) y.im) x.re) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 (fma.f64 x.im (/.f64 y.re x.re) y.im) x.re) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x.im (/.f64 y.re x.re) y.im) x.re) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 (fma.f64 x.im (/.f64 y.re x.re) y.im) x.re) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 x.im (/.f64 y.re x.re) y.im) x.re) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (*.f64 (fma.f64 x.im (/.f64 y.re x.re) y.im) x.re) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (fma.f64 x.im (/.f64 y.re x.re) y.im) x.re) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 x.im (/.f64 y.re x.re) y.im) x.re) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 x.im (/.f64 y.re x.re) y.im) (hypot.f64 y.im y.re)) #s(literal 3 binary64)) (pow.f64 (/.f64 x.re (hypot.f64 y.im y.re)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x.re (/.f64 (fma.f64 x.im (/.f64 y.re x.re) y.im) (hypot.f64 y.im y.re))) #s(literal 3 binary64)) (pow.f64 (hypot.f64 y.im y.re) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 (fma.f64 x.im (/.f64 y.re x.re) y.im) x.re) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 (fma.f64 x.im (/.f64 y.re x.re) y.im) x.re) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (/.f64 (*.f64 (fma.f64 x.im (/.f64 y.re x.re) y.im) x.re) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 (fma.f64 x.im (/.f64 y.re x.re) y.im) x.re) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x.im (/.f64 y.re x.re) y.im) (hypot.f64 y.im y.re)))) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 x.im (/.f64 y.re x.re)) (hypot.f64 y.im y.re)) (/.f64 y.im (hypot.f64 y.im y.re)))
(*.f64 (fma.f64 x.im (/.f64 y.re x.re) y.im) (/.f64 #s(literal 1 binary64) (hypot.f64 y.im y.re)))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im (/.f64 y.re x.re) y.im) (hypot.f64 y.im y.re)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x.im (/.f64 y.re x.re) y.im) (hypot.f64 y.im y.re))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (fma.f64 x.im (/.f64 y.re x.re) y.im) (hypot.f64 y.im y.re))))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 x.im (/.f64 y.re x.re) y.im) (hypot.f64 y.im y.re))) (sqrt.f64 (/.f64 (fma.f64 x.im (/.f64 y.re x.re) y.im) (hypot.f64 y.im y.re))))
(*.f64 (neg.f64 (fma.f64 x.im (/.f64 y.re x.re) y.im)) (/.f64 #s(literal 1 binary64) (neg.f64 (hypot.f64 y.im y.re))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (hypot.f64 y.im y.re)) #s(literal 2 binary64))) (/.f64 (fma.f64 x.im (/.f64 y.re x.re) y.im) (cbrt.f64 (hypot.f64 y.im y.re))))
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(pow.f64 (*.f64 (/.f64 x.im x.re) (/.f64 x.re (hypot.f64 y.im y.re))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 x.im x.re) (/.f64 x.re (hypot.f64 y.im y.re)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (/.f64 x.im x.re) (/.f64 x.re (hypot.f64 y.im y.re))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 x.im x.re) (/.f64 x.re (hypot.f64 y.im y.re)))) #s(literal 2 binary64))
(neg.f64 (*.f64 (/.f64 x.im x.re) (/.f64 x.re (hypot.f64 y.im y.re))))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 x.im x.re) (/.f64 x.re (hypot.f64 y.im y.re))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 x.im x.re)) (/.f64 x.re (hypot.f64 y.im y.re))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (/.f64 x.im x.re) (/.f64 x.re (hypot.f64 y.im y.re))))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 x.im x.re) (/.f64 x.re (hypot.f64 y.im y.re))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 3 binary64)) (pow.f64 (/.f64 x.re (hypot.f64 y.im y.re)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x.re (hypot.f64 y.im y.re)) #s(literal 3 binary64)) (pow.f64 (/.f64 x.im x.re) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 x.im x.re) (/.f64 x.re (hypot.f64 y.im y.re)))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 x.im x.re) (/.f64 x.re (hypot.f64 y.im y.re)))))
(exp.f64 (log.f64 (*.f64 (/.f64 x.im x.re) (/.f64 x.re (hypot.f64 y.im y.re)))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 x.im x.re) (/.f64 x.re (hypot.f64 y.im y.re)))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x.im x.re))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x.im x.re))) #s(literal 1 binary64))
(*.f64 x.im (/.f64 #s(literal 1 binary64) x.re))
(*.f64 #s(literal 1 binary64) (/.f64 x.im x.re))
(*.f64 #s(literal -1 binary64) (/.f64 x.im x.re))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x.im x.re)))
(*.f64 (sqrt.f64 (/.f64 x.im x.re)) (sqrt.f64 (/.f64 x.im x.re)))
(*.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) x.re))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x.im) x.re))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x.im #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (cbrt.f64 x.im) x.re))
(*.f64 (/.f64 (sqrt.f64 x.im) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x.im) x.re))
(*.f64 (/.f64 (sqrt.f64 x.im) #s(literal -1 binary64)) (/.f64 (sqrt.f64 x.im) x.re))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64))) (/.f64 x.im (cbrt.f64 x.re)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x.re)) (/.f64 x.im (sqrt.f64 x.re)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x.im x.re)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x.im #s(literal 2 binary64))) (sqrt.f64 x.re)) (/.f64 (cbrt.f64 x.im) (sqrt.f64 x.re)))
(*.f64 (/.f64 (sqrt.f64 x.im) (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x.im) (cbrt.f64 x.re)))
(pow.f64 (/.f64 x.im x.re) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x.im x.re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x.im x.re)) #s(literal 2 binary64))
(pow.f64 (/.f64 x.re x.im) #s(literal -1 binary64))
(neg.f64 (/.f64 x.im x.re))
(sqrt.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x.im x.re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x.im x.re))))
(cbrt.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x.im x.re)))
(log1p.f64 (expm1.f64 (/.f64 x.im x.re)))
(exp.f64 (log.f64 (/.f64 x.im x.re)))
(exp.f64 (*.f64 (log.f64 (/.f64 x.im x.re)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x.re (hypot.f64 y.im y.re)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (hypot.f64 y.im y.re))) (/.f64 x.re (hypot.f64 y.im y.re)))
(*.f64 x.re (/.f64 #s(literal 1 binary64) (hypot.f64 y.im y.re)))
(*.f64 x.re (/.f64 #s(literal 1 binary64) (neg.f64 (hypot.f64 y.im y.re))))
(*.f64 #s(literal 1 binary64) (/.f64 x.re (hypot.f64 y.im y.re)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x.re (hypot.f64 y.im y.re))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x.re (hypot.f64 y.im y.re))))
(*.f64 (sqrt.f64 (/.f64 x.re (hypot.f64 y.im y.re))) (sqrt.f64 (/.f64 x.re (hypot.f64 y.im y.re))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (hypot.f64 y.im y.re)) #s(literal 2 binary64))) (/.f64 x.re (cbrt.f64 (hypot.f64 y.im y.re))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (hypot.f64 y.im y.re))) (/.f64 x.re (sqrt.f64 (hypot.f64 y.im y.re))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x.re) (hypot.f64 y.im y.re)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 y.im y.re)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x.re (hypot.f64 y.im y.re))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (sqrt.f64 (hypot.f64 y.im y.re))) (/.f64 (cbrt.f64 x.re) (sqrt.f64 (hypot.f64 y.im y.re))))
(*.f64 (/.f64 (sqrt.f64 x.re) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x.re) (hypot.f64 y.im y.re)))
(*.f64 (/.f64 (sqrt.f64 x.re) (pow.f64 (cbrt.f64 (hypot.f64 y.im y.re)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x.re) (cbrt.f64 (hypot.f64 y.im y.re))))
(pow.f64 (/.f64 x.re (hypot.f64 y.im y.re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x.re (hypot.f64 y.im y.re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x.re (hypot.f64 y.im y.re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x.re (hypot.f64 y.im y.re))) #s(literal 2 binary64))
(pow.f64 (/.f64 (hypot.f64 y.im y.re) x.re) #s(literal -1 binary64))
(neg.f64 (/.f64 x.re (hypot.f64 y.im y.re)))
(sqrt.f64 (pow.f64 (/.f64 x.re (hypot.f64 y.im y.re)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x.re (hypot.f64 y.im y.re))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x.re (hypot.f64 y.im y.re)))))
(cbrt.f64 (pow.f64 (/.f64 x.re (hypot.f64 y.im y.re)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (hypot.f64 y.im y.re) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x.re (hypot.f64 y.im y.re))))
(log1p.f64 (expm1.f64 (/.f64 x.re (hypot.f64 y.im y.re))))
(exp.f64 (log.f64 (/.f64 x.re (hypot.f64 y.im y.re))))
(exp.f64 (*.f64 (log.f64 (/.f64 x.re (hypot.f64 y.im y.re))) #s(literal 1 binary64)))
(+.f64 x.im (/.f64 (*.f64 y.im x.re) y.re))
(+.f64 (+.f64 x.im (/.f64 (.f64 y.im x.re) y.re)) (fma.f64 (/.f64 x.re y.re) y.im (/.f64 (.f64 y.im x.re) y.re)))
(+.f64 (+.f64 x.im (/.f64 (.f64 y.im x.re) y.re)) (fma.f64 y.im (/.f64 x.re y.re) (/.f64 (.f64 y.im x.re) y.re)))
(+.f64 (+.f64 x.im (/.f64 (.f64 y.im x.re) y.re)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (.f64 y.im x.re) y.re))) (sqrt.f64 (/.f64 (.f64 y.im x.re) y.re)) (/.f64 (.f64 y.im x.re) y.re)))
(+.f64 (fma.f64 #s(literal 1 binary64) x.im (neg.f64 (.f64 (/.f64 (.f64 y.im x.re) y.re) #s(literal 1 binary64)))) (fma.f64 (/.f64 (.f64 y.im x.re) y.re) #s(literal 1 binary64) (.f64 (/.f64 (*.f64 y.im x.re) y.re) #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) x.im (neg.f64 (.f64 (cbrt.f64 (/.f64 (.f64 y.im x.re) y.re)) (cbrt.f64 (pow.f64 (/.f64 (.f64 y.im x.re) y.re) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (.f64 y.im x.re) y.re))) (cbrt.f64 (pow.f64 (/.f64 (.f64 y.im x.re) y.re) #s(literal 2 binary64))) (.f64 (cbrt.f64 (/.f64 (.f64 y.im x.re) y.re)) (cbrt.f64 (pow.f64 (/.f64 (.f64 y.im x.re) y.re) #s(literal 2 binary64))))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 x.im #s(literal 2 binary64))) (cbrt.f64 x.im) (neg.f64 (.f64 (/.f64 (.f64 y.im x.re) y.re) #s(literal 1 binary64)))) (fma.f64 (/.f64 (.f64 y.im x.re) y.re) #s(literal 1 binary64) (.f64 (/.f64 (*.f64 y.im x.re) y.re) #s(literal 1 binary64))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 x.im #s(literal 2 binary64))) (cbrt.f64 x.im) (neg.f64 (.f64 (cbrt.f64 (/.f64 (.f64 y.im x.re) y.re)) (cbrt.f64 (pow.f64 (/.f64 (.f64 y.im x.re) y.re) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (.f64 y.im x.re) y.re))) (cbrt.f64 (pow.f64 (/.f64 (.f64 y.im x.re) y.re) #s(literal 2 binary64))) (.f64 (cbrt.f64 (/.f64 (.f64 y.im x.re) y.re)) (cbrt.f64 (pow.f64 (/.f64 (.f64 y.im x.re) y.re) #s(literal 2 binary64))))))
(+.f64 (fma.f64 (sqrt.f64 x.im) (sqrt.f64 x.im) (neg.f64 (.f64 (/.f64 (.f64 y.im x.re) y.re) #s(literal 1 binary64)))) (fma.f64 (/.f64 (.f64 y.im x.re) y.re) #s(literal 1 binary64) (.f64 (/.f64 (*.f64 y.im x.re) y.re) #s(literal 1 binary64))))
(+.f64 (fma.f64 (sqrt.f64 x.im) (sqrt.f64 x.im) (neg.f64 (.f64 (cbrt.f64 (/.f64 (.f64 y.im x.re) y.re)) (cbrt.f64 (pow.f64 (/.f64 (.f64 y.im x.re) y.re) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (.f64 y.im x.re) y.re))) (cbrt.f64 (pow.f64 (/.f64 (.f64 y.im x.re) y.re) #s(literal 2 binary64))) (.f64 (cbrt.f64 (/.f64 (.f64 y.im x.re) y.re)) (cbrt.f64 (pow.f64 (/.f64 (.f64 y.im x.re) y.re) #s(literal 2 binary64))))))
(+.f64 (.f64 x.im #s(literal 1 binary64)) (.f64 (/.f64 (*.f64 y.im x.re) y.re) #s(literal 1 binary64)))
(.f64 (+.f64 x.im (/.f64 (.f64 y.im x.re) y.re)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (+.f64 x.im (/.f64 (.f64 y.im x.re) y.re)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 x.im (/.f64 (.f64 y.im x.re) y.re))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x.im (/.f64 (*.f64 y.im x.re) y.re))))
(.f64 (pow.f64 (+.f64 x.im (/.f64 (.f64 y.im x.re) y.re)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x.im (/.f64 (*.f64 y.im x.re) y.re))))
(.f64 (sqrt.f64 (+.f64 x.im (/.f64 (.f64 y.im x.re) y.re))) (sqrt.f64 (+.f64 x.im (/.f64 (*.f64 y.im x.re) y.re))))
(.f64 (-.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 y.im x.re) y.re) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (.f64 (/.f64 (.f64 y.im x.re) y.re) (+.f64 (/.f64 (*.f64 y.im x.re) y.re) x.im)))))
(.f64 (+.f64 (sqrt.f64 x.im) (sqrt.f64 (/.f64 (.f64 y.im x.re) y.re))) (-.f64 (sqrt.f64 x.im) (sqrt.f64 (/.f64 (*.f64 y.im x.re) y.re))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im x.im (.f64 (/.f64 (.f64 y.im x.re) y.re) (+.f64 (/.f64 (.f64 y.im x.re) y.re) x.im))) (-.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 y.im x.re) y.re) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x.im (/.f64 (.f64 y.im x.re) y.re)) (pow.f64 (+.f64 x.im (/.f64 (.f64 y.im x.re) y.re)) #s(literal 2 binary64))))
(/.f64 (pow.f64 (+.f64 x.im (/.f64 (.f64 y.im x.re) y.re)) #s(literal 2 binary64)) (+.f64 x.im (/.f64 (.f64 y.im x.re) y.re)))
(/.f64 (-.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 y.im x.re) y.re) #s(literal 3 binary64))) (fma.f64 x.im x.im (.f64 (/.f64 (.f64 y.im x.re) y.re) (+.f64 (/.f64 (.f64 y.im x.re) y.re) x.im))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 y.im x.re) y.re) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x.im x.im (.f64 (/.f64 (.f64 y.im x.re) y.re) (+.f64 (/.f64 (.f64 y.im x.re) y.re) x.im)))))
(/.f64 (neg.f64 (pow.f64 (+.f64 x.im (/.f64 (.f64 y.im x.re) y.re)) #s(literal 2 binary64))) (neg.f64 (+.f64 x.im (/.f64 (.f64 y.im x.re) y.re))))
(/.f64 (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 y.im x.re) y.re) #s(literal 3 binary64))) (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (.f64 y.im x.re) y.re) #s(literal 2 binary64)) (.f64 x.im (/.f64 (.f64 y.im x.re) y.re)))))
(pow.f64 (+.f64 x.im (/.f64 (*.f64 y.im x.re) y.re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x.im (/.f64 (*.f64 y.im x.re) y.re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x.im (/.f64 (*.f64 y.im x.re) y.re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x.im (/.f64 (*.f64 y.im x.re) y.re))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 x.im (/.f64 (*.f64 y.im x.re) y.re)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 x.im (/.f64 (*.f64 y.im x.re) y.re))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x.im (/.f64 (*.f64 y.im x.re) y.re)))))
(cbrt.f64 (pow.f64 (+.f64 x.im (/.f64 (*.f64 y.im x.re) y.re)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 x.im (/.f64 (*.f64 y.im x.re) y.re))))
(log1p.f64 (expm1.f64 (+.f64 x.im (/.f64 (*.f64 y.im x.re) y.re))))
(exp.f64 (log.f64 (+.f64 x.im (/.f64 (*.f64 y.im x.re) y.re))))
(exp.f64 (.f64 (log.f64 (+.f64 x.im (/.f64 (.f64 y.im x.re) y.re))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x.im (/.f64 (*.f64 y.im x.re) y.re))
(fma.f64 (cbrt.f64 (pow.f64 x.im #s(literal 2 binary64))) (cbrt.f64 x.im) (/.f64 (*.f64 y.im x.re) y.re))
(fma.f64 (sqrt.f64 x.im) (sqrt.f64 x.im) (/.f64 (*.f64 y.im x.re) y.re))

simplify500.0ms (3.8%)

Memory

27.9MiB live, 501.3MiB allocated

Algorithm

1×	egg-herbie

Rules

437×	`*-commutative`
350×	`distribute-lft-in`
344×	`distribute-rgt-in`
233×	`associate-*r/`
200×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1590	46845
1	4397	43390

Stop Event

1×	node limit

Counts

1 008 → 1 051

Calls

Call 1

Inputs
(.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
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(/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
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(cbrt.f64 (*.f64 (pow.f64 (/.f64 x.re (hypot.f64 y.im y.re)) #s(literal 3 binary64)) (pow.f64 (/.f64 x.im x.re) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 x.im x.re) (/.f64 x.re (hypot.f64 y.im y.re)))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 x.im x.re) (/.f64 x.re (hypot.f64 y.im y.re)))))
(exp.f64 (log.f64 (*.f64 (/.f64 x.im x.re) (/.f64 x.re (hypot.f64 y.im y.re)))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 x.im x.re) (/.f64 x.re (hypot.f64 y.im y.re)))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x.im x.re))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x.im x.re))) #s(literal 1 binary64))
(*.f64 x.im (/.f64 #s(literal 1 binary64) x.re))
(*.f64 #s(literal 1 binary64) (/.f64 x.im x.re))
(*.f64 #s(literal -1 binary64) (/.f64 x.im x.re))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x.im x.re)))
(*.f64 (sqrt.f64 (/.f64 x.im x.re)) (sqrt.f64 (/.f64 x.im x.re)))
(*.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) x.re))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x.im) x.re))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x.im #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (cbrt.f64 x.im) x.re))
(*.f64 (/.f64 (sqrt.f64 x.im) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x.im) x.re))
(*.f64 (/.f64 (sqrt.f64 x.im) #s(literal -1 binary64)) (/.f64 (sqrt.f64 x.im) x.re))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64))) (/.f64 x.im (cbrt.f64 x.re)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x.re)) (/.f64 x.im (sqrt.f64 x.re)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x.im x.re)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x.im #s(literal 2 binary64))) (sqrt.f64 x.re)) (/.f64 (cbrt.f64 x.im) (sqrt.f64 x.re)))
(*.f64 (/.f64 (sqrt.f64 x.im) (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x.im) (cbrt.f64 x.re)))
(pow.f64 (/.f64 x.im x.re) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x.im x.re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x.im x.re)) #s(literal 2 binary64))
(pow.f64 (/.f64 x.re x.im) #s(literal -1 binary64))
(neg.f64 (/.f64 x.im x.re))
(sqrt.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x.im x.re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x.im x.re))))
(cbrt.f64 (pow.f64 (/.f64 x.im x.re) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x.im x.re)))
(log1p.f64 (expm1.f64 (/.f64 x.im x.re)))
(exp.f64 (log.f64 (/.f64 x.im x.re)))
(exp.f64 (*.f64 (log.f64 (/.f64 x.im x.re)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x.re (hypot.f64 y.im y.re)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (hypot.f64 y.im y.re))) (/.f64 x.re (hypot.f64 y.im y.re)))
(*.f64 x.re (/.f64 #s(literal 1 binary64) (hypot.f64 y.im y.re)))
(*.f64 x.re (/.f64 #s(literal 1 binary64) (neg.f64 (hypot.f64 y.im y.re))))
(*.f64 #s(literal 1 binary64) (/.f64 x.re (hypot.f64 y.im y.re)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x.re (hypot.f64 y.im y.re))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x.re (hypot.f64 y.im y.re))))
(*.f64 (sqrt.f64 (/.f64 x.re (hypot.f64 y.im y.re))) (sqrt.f64 (/.f64 x.re (hypot.f64 y.im y.re))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (hypot.f64 y.im y.re)) #s(literal 2 binary64))) (/.f64 x.re (cbrt.f64 (hypot.f64 y.im y.re))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (hypot.f64 y.im y.re))) (/.f64 x.re (sqrt.f64 (hypot.f64 y.im y.re))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x.re) (hypot.f64 y.im y.re)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 y.im y.re)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x.re (hypot.f64 y.im y.re))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (sqrt.f64 (hypot.f64 y.im y.re))) (/.f64 (cbrt.f64 x.re) (sqrt.f64 (hypot.f64 y.im y.re))))
(*.f64 (/.f64 (sqrt.f64 x.re) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x.re) (hypot.f64 y.im y.re)))
(*.f64 (/.f64 (sqrt.f64 x.re) (pow.f64 (cbrt.f64 (hypot.f64 y.im y.re)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x.re) (cbrt.f64 (hypot.f64 y.im y.re))))
(pow.f64 (/.f64 x.re (hypot.f64 y.im y.re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x.re (hypot.f64 y.im y.re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x.re (hypot.f64 y.im y.re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x.re (hypot.f64 y.im y.re))) #s(literal 2 binary64))
(pow.f64 (/.f64 (hypot.f64 y.im y.re) x.re) #s(literal -1 binary64))
(neg.f64 (/.f64 x.re (hypot.f64 y.im y.re)))
(sqrt.f64 (pow.f64 (/.f64 x.re (hypot.f64 y.im y.re)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x.re (hypot.f64 y.im y.re))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x.re (hypot.f64 y.im y.re)))))
(cbrt.f64 (pow.f64 (/.f64 x.re (hypot.f64 y.im y.re)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (hypot.f64 y.im y.re) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x.re (hypot.f64 y.im y.re))))
(log1p.f64 (expm1.f64 (/.f64 x.re (hypot.f64 y.im y.re))))
(exp.f64 (log.f64 (/.f64 x.re (hypot.f64 y.im y.re))))
(exp.f64 (*.f64 (log.f64 (/.f64 x.re (hypot.f64 y.im y.re))) #s(literal 1 binary64)))
(+.f64 x.im (/.f64 (*.f64 y.im x.re) y.re))
(+.f64 (+.f64 x.im (/.f64 (.f64 y.im x.re) y.re)) (fma.f64 (/.f64 x.re y.re) y.im (/.f64 (.f64 y.im x.re) y.re)))
(+.f64 (+.f64 x.im (/.f64 (.f64 y.im x.re) y.re)) (fma.f64 y.im (/.f64 x.re y.re) (/.f64 (.f64 y.im x.re) y.re)))
(+.f64 (+.f64 x.im (/.f64 (.f64 y.im x.re) y.re)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (.f64 y.im x.re) y.re))) (sqrt.f64 (/.f64 (.f64 y.im x.re) y.re)) (/.f64 (.f64 y.im x.re) y.re)))
(+.f64 (fma.f64 #s(literal 1 binary64) x.im (neg.f64 (.f64 (/.f64 (.f64 y.im x.re) y.re) #s(literal 1 binary64)))) (fma.f64 (/.f64 (.f64 y.im x.re) y.re) #s(literal 1 binary64) (.f64 (/.f64 (*.f64 y.im x.re) y.re) #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) x.im (neg.f64 (.f64 (cbrt.f64 (/.f64 (.f64 y.im x.re) y.re)) (cbrt.f64 (pow.f64 (/.f64 (.f64 y.im x.re) y.re) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (.f64 y.im x.re) y.re))) (cbrt.f64 (pow.f64 (/.f64 (.f64 y.im x.re) y.re) #s(literal 2 binary64))) (.f64 (cbrt.f64 (/.f64 (.f64 y.im x.re) y.re)) (cbrt.f64 (pow.f64 (/.f64 (.f64 y.im x.re) y.re) #s(literal 2 binary64))))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 x.im #s(literal 2 binary64))) (cbrt.f64 x.im) (neg.f64 (.f64 (/.f64 (.f64 y.im x.re) y.re) #s(literal 1 binary64)))) (fma.f64 (/.f64 (.f64 y.im x.re) y.re) #s(literal 1 binary64) (.f64 (/.f64 (*.f64 y.im x.re) y.re) #s(literal 1 binary64))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 x.im #s(literal 2 binary64))) (cbrt.f64 x.im) (neg.f64 (.f64 (cbrt.f64 (/.f64 (.f64 y.im x.re) y.re)) (cbrt.f64 (pow.f64 (/.f64 (.f64 y.im x.re) y.re) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (.f64 y.im x.re) y.re))) (cbrt.f64 (pow.f64 (/.f64 (.f64 y.im x.re) y.re) #s(literal 2 binary64))) (.f64 (cbrt.f64 (/.f64 (.f64 y.im x.re) y.re)) (cbrt.f64 (pow.f64 (/.f64 (.f64 y.im x.re) y.re) #s(literal 2 binary64))))))
(+.f64 (fma.f64 (sqrt.f64 x.im) (sqrt.f64 x.im) (neg.f64 (.f64 (/.f64 (.f64 y.im x.re) y.re) #s(literal 1 binary64)))) (fma.f64 (/.f64 (.f64 y.im x.re) y.re) #s(literal 1 binary64) (.f64 (/.f64 (*.f64 y.im x.re) y.re) #s(literal 1 binary64))))
(+.f64 (fma.f64 (sqrt.f64 x.im) (sqrt.f64 x.im) (neg.f64 (.f64 (cbrt.f64 (/.f64 (.f64 y.im x.re) y.re)) (cbrt.f64 (pow.f64 (/.f64 (.f64 y.im x.re) y.re) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (.f64 y.im x.re) y.re))) (cbrt.f64 (pow.f64 (/.f64 (.f64 y.im x.re) y.re) #s(literal 2 binary64))) (.f64 (cbrt.f64 (/.f64 (.f64 y.im x.re) y.re)) (cbrt.f64 (pow.f64 (/.f64 (.f64 y.im x.re) y.re) #s(literal 2 binary64))))))
(+.f64 (.f64 x.im #s(literal 1 binary64)) (.f64 (/.f64 (*.f64 y.im x.re) y.re) #s(literal 1 binary64)))
(.f64 (+.f64 x.im (/.f64 (.f64 y.im x.re) y.re)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (+.f64 x.im (/.f64 (.f64 y.im x.re) y.re)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 x.im (/.f64 (.f64 y.im x.re) y.re))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x.im (/.f64 (*.f64 y.im x.re) y.re))))
(.f64 (pow.f64 (+.f64 x.im (/.f64 (.f64 y.im x.re) y.re)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x.im (/.f64 (*.f64 y.im x.re) y.re))))
(.f64 (sqrt.f64 (+.f64 x.im (/.f64 (.f64 y.im x.re) y.re))) (sqrt.f64 (+.f64 x.im (/.f64 (*.f64 y.im x.re) y.re))))
(.f64 (-.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 y.im x.re) y.re) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (.f64 (/.f64 (.f64 y.im x.re) y.re) (+.f64 (/.f64 (*.f64 y.im x.re) y.re) x.im)))))
(.f64 (+.f64 (sqrt.f64 x.im) (sqrt.f64 (/.f64 (.f64 y.im x.re) y.re))) (-.f64 (sqrt.f64 x.im) (sqrt.f64 (/.f64 (*.f64 y.im x.re) y.re))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im x.im (.f64 (/.f64 (.f64 y.im x.re) y.re) (+.f64 (/.f64 (.f64 y.im x.re) y.re) x.im))) (-.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 y.im x.re) y.re) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x.im (/.f64 (.f64 y.im x.re) y.re)) (pow.f64 (+.f64 x.im (/.f64 (.f64 y.im x.re) y.re)) #s(literal 2 binary64))))
(/.f64 (pow.f64 (+.f64 x.im (/.f64 (.f64 y.im x.re) y.re)) #s(literal 2 binary64)) (+.f64 x.im (/.f64 (.f64 y.im x.re) y.re)))
(/.f64 (-.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 y.im x.re) y.re) #s(literal 3 binary64))) (fma.f64 x.im x.im (.f64 (/.f64 (.f64 y.im x.re) y.re) (+.f64 (/.f64 (.f64 y.im x.re) y.re) x.im))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 y.im x.re) y.re) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x.im x.im (.f64 (/.f64 (.f64 y.im x.re) y.re) (+.f64 (/.f64 (.f64 y.im x.re) y.re) x.im)))))
(/.f64 (neg.f64 (pow.f64 (+.f64 x.im (/.f64 (.f64 y.im x.re) y.re)) #s(literal 2 binary64))) (neg.f64 (+.f64 x.im (/.f64 (.f64 y.im x.re) y.re))))
(/.f64 (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 y.im x.re) y.re) #s(literal 3 binary64))) (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (.f64 y.im x.re) y.re) #s(literal 2 binary64)) (.f64 x.im (/.f64 (.f64 y.im x.re) y.re)))))
(pow.f64 (+.f64 x.im (/.f64 (*.f64 y.im x.re) y.re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x.im (/.f64 (*.f64 y.im x.re) y.re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x.im (/.f64 (*.f64 y.im x.re) y.re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x.im (/.f64 (*.f64 y.im x.re) y.re))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 x.im (/.f64 (*.f64 y.im x.re) y.re)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 x.im (/.f64 (*.f64 y.im x.re) y.re))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x.im (/.f64 (*.f64 y.im x.re) y.re)))))
(cbrt.f64 (pow.f64 (+.f64 x.im (/.f64 (*.f64 y.im x.re) y.re)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 x.im (/.f64 (*.f64 y.im x.re) y.re))))
(log1p.f64 (expm1.f64 (+.f64 x.im (/.f64 (*.f64 y.im x.re) y.re))))
(exp.f64 (log.f64 (+.f64 x.im (/.f64 (*.f64 y.im x.re) y.re))))
(exp.f64 (.f64 (log.f64 (+.f64 x.im (/.f64 (.f64 y.im x.re) y.re))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x.im (/.f64 (*.f64 y.im x.re) y.re))
(fma.f64 (cbrt.f64 (pow.f64 x.im #s(literal 2 binary64))) (cbrt.f64 x.im) (/.f64 (*.f64 y.im x.re) y.re))
(fma.f64 (sqrt.f64 x.im) (sqrt.f64 x.im) (/.f64 (*.f64 y.im x.re) y.re))

Outputs
(.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(/.f64 (*.f64 (neg.f64 y.im) x.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 x.re (/.f64 (neg.f64 y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (.f64 x.re (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (.f64 x.im (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(-.f64 (.f64 x.im (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (.f64 x.re (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (.f64 x.im (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(-.f64 (.f64 x.im (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (.f64 x.re (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (.f64 x.im (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(-.f64 (.f64 x.im (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))))
(/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 x.im (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(*.f64 x.im (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
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#s(literal -1 binary64)
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#s(literal 1 binary64)
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(+.f64 x.im (/.f64 (*.f64 y.im x.re) y.re))
(+.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))
(+.f64 (+.f64 x.im (/.f64 (.f64 y.im x.re) y.re)) (fma.f64 (/.f64 x.re y.re) y.im (/.f64 (.f64 y.im x.re) y.re)))
(+.f64 x.im (+.f64 (.f64 x.re (/.f64 y.im y.re)) (fma.f64 (/.f64 x.re y.re) y.im (.f64 x.re (/.f64 y.im y.re)))))
(+.f64 (+.f64 x.im (/.f64 (.f64 y.im x.re) y.re)) (fma.f64 y.im (/.f64 x.re y.re) (/.f64 (.f64 y.im x.re) y.re)))
(+.f64 x.im (+.f64 (.f64 x.re (/.f64 y.im y.re)) (fma.f64 y.im (/.f64 x.re y.re) (.f64 x.re (/.f64 y.im y.re)))))
(+.f64 (.f64 x.re (/.f64 y.im y.re)) (+.f64 x.im (.f64 #s(literal 2 binary64) (*.f64 x.re (/.f64 y.im y.re)))))
(+.f64 (+.f64 x.im (/.f64 (.f64 y.im x.re) y.re)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (.f64 y.im x.re) y.re))) (sqrt.f64 (/.f64 (.f64 y.im x.re) y.re)) (/.f64 (.f64 y.im x.re) y.re)))
(+.f64 x.im (+.f64 (.f64 x.re (/.f64 y.im y.re)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 x.re (/.f64 y.im y.re)))) (sqrt.f64 (.f64 x.re (/.f64 y.im y.re))) (.f64 x.re (/.f64 y.im y.re)))))
(+.f64 x.im (+.f64 (+.f64 (.f64 x.re (/.f64 y.im y.re)) (.f64 x.re (/.f64 (neg.f64 y.im) y.re))) (*.f64 x.re (/.f64 y.im y.re))))
(+.f64 (fma.f64 #s(literal 1 binary64) x.im (neg.f64 (.f64 (/.f64 (.f64 y.im x.re) y.re) #s(literal 1 binary64)))) (fma.f64 (/.f64 (.f64 y.im x.re) y.re) #s(literal 1 binary64) (.f64 (/.f64 (*.f64 y.im x.re) y.re) #s(literal 1 binary64))))
(+.f64 (-.f64 x.im (.f64 x.re (/.f64 y.im y.re))) (fma.f64 y.im (/.f64 x.re y.re) (.f64 x.re (/.f64 y.im y.re))))
(+.f64 (-.f64 x.im (.f64 x.re (/.f64 y.im y.re))) (.f64 #s(literal 2 binary64) (*.f64 x.re (/.f64 y.im y.re))))
(+.f64 (fma.f64 #s(literal 1 binary64) x.im (neg.f64 (.f64 (cbrt.f64 (/.f64 (.f64 y.im x.re) y.re)) (cbrt.f64 (pow.f64 (/.f64 (.f64 y.im x.re) y.re) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (.f64 y.im x.re) y.re))) (cbrt.f64 (pow.f64 (/.f64 (.f64 y.im x.re) y.re) #s(literal 2 binary64))) (.f64 (cbrt.f64 (/.f64 (.f64 y.im x.re) y.re)) (cbrt.f64 (pow.f64 (/.f64 (.f64 y.im x.re) y.re) #s(literal 2 binary64))))))
(+.f64 (-.f64 x.im (.f64 (cbrt.f64 (pow.f64 (.f64 x.re (/.f64 y.im y.re)) #s(literal 2 binary64))) (cbrt.f64 (.f64 x.re (/.f64 y.im y.re))))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x.re (/.f64 y.im y.re)))) (cbrt.f64 (pow.f64 (.f64 x.re (/.f64 y.im y.re)) #s(literal 2 binary64))) (.f64 (cbrt.f64 (pow.f64 (.f64 x.re (/.f64 y.im y.re)) #s(literal 2 binary64))) (cbrt.f64 (.f64 x.re (/.f64 y.im y.re))))))
(+.f64 (-.f64 x.im (.f64 (cbrt.f64 (pow.f64 (.f64 x.re (/.f64 y.im y.re)) #s(literal 2 binary64))) (cbrt.f64 (.f64 x.re (/.f64 y.im y.re))))) (.f64 #s(literal 0 binary64) (.f64 (cbrt.f64 (pow.f64 (.f64 x.re (/.f64 y.im y.re)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x.re (/.f64 y.im y.re))))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 x.im #s(literal 2 binary64))) (cbrt.f64 x.im) (neg.f64 (.f64 (/.f64 (.f64 y.im x.re) y.re) #s(literal 1 binary64)))) (fma.f64 (/.f64 (.f64 y.im x.re) y.re) #s(literal 1 binary64) (.f64 (/.f64 (*.f64 y.im x.re) y.re) #s(literal 1 binary64))))
(+.f64 (fma.f64 y.im (/.f64 x.re y.re) (.f64 x.re (/.f64 y.im y.re))) (fma.f64 (cbrt.f64 (pow.f64 x.im #s(literal 2 binary64))) (cbrt.f64 x.im) (.f64 x.re (/.f64 (neg.f64 y.im) y.re))))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x.re (/.f64 y.im y.re))) (fma.f64 (cbrt.f64 (pow.f64 x.im #s(literal 2 binary64))) (cbrt.f64 x.im) (*.f64 x.re (/.f64 (neg.f64 y.im) y.re))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 x.im #s(literal 2 binary64))) (cbrt.f64 x.im) (neg.f64 (.f64 (cbrt.f64 (/.f64 (.f64 y.im x.re) y.re)) (cbrt.f64 (pow.f64 (/.f64 (.f64 y.im x.re) y.re) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (.f64 y.im x.re) y.re))) (cbrt.f64 (pow.f64 (/.f64 (.f64 y.im x.re) y.re) #s(literal 2 binary64))) (.f64 (cbrt.f64 (/.f64 (.f64 y.im x.re) y.re)) (cbrt.f64 (pow.f64 (/.f64 (.f64 y.im x.re) y.re) #s(literal 2 binary64))))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (.f64 x.re (/.f64 y.im y.re)))) (cbrt.f64 (pow.f64 (.f64 x.re (/.f64 y.im y.re)) #s(literal 2 binary64))) (.f64 (cbrt.f64 (pow.f64 (.f64 x.re (/.f64 y.im y.re)) #s(literal 2 binary64))) (cbrt.f64 (.f64 x.re (/.f64 y.im y.re))))) (-.f64 (.f64 (cbrt.f64 (pow.f64 x.im #s(literal 2 binary64))) (cbrt.f64 x.im)) (.f64 (cbrt.f64 (pow.f64 (.f64 x.re (/.f64 y.im y.re)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x.re (/.f64 y.im y.re))))))
(+.f64 (.f64 #s(literal 0 binary64) (.f64 (cbrt.f64 (pow.f64 (.f64 x.re (/.f64 y.im y.re)) #s(literal 2 binary64))) (cbrt.f64 (.f64 x.re (/.f64 y.im y.re))))) (-.f64 (.f64 (cbrt.f64 (pow.f64 x.im #s(literal 2 binary64))) (cbrt.f64 x.im)) (.f64 (cbrt.f64 (pow.f64 (.f64 x.re (/.f64 y.im y.re)) #s(literal 2 binary64))) (cbrt.f64 (.f64 x.re (/.f64 y.im y.re))))))
(+.f64 (fma.f64 (sqrt.f64 x.im) (sqrt.f64 x.im) (neg.f64 (.f64 (/.f64 (.f64 y.im x.re) y.re) #s(literal 1 binary64)))) (fma.f64 (/.f64 (.f64 y.im x.re) y.re) #s(literal 1 binary64) (.f64 (/.f64 (*.f64 y.im x.re) y.re) #s(literal 1 binary64))))
(+.f64 (-.f64 x.im (.f64 x.re (/.f64 y.im y.re))) (fma.f64 y.im (/.f64 x.re y.re) (.f64 x.re (/.f64 y.im y.re))))
(+.f64 (-.f64 x.im (.f64 x.re (/.f64 y.im y.re))) (.f64 #s(literal 2 binary64) (*.f64 x.re (/.f64 y.im y.re))))
(+.f64 (fma.f64 (sqrt.f64 x.im) (sqrt.f64 x.im) (neg.f64 (.f64 (cbrt.f64 (/.f64 (.f64 y.im x.re) y.re)) (cbrt.f64 (pow.f64 (/.f64 (.f64 y.im x.re) y.re) #s(literal 2 binary64)))))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (.f64 y.im x.re) y.re))) (cbrt.f64 (pow.f64 (/.f64 (.f64 y.im x.re) y.re) #s(literal 2 binary64))) (.f64 (cbrt.f64 (/.f64 (.f64 y.im x.re) y.re)) (cbrt.f64 (pow.f64 (/.f64 (.f64 y.im x.re) y.re) #s(literal 2 binary64))))))
(+.f64 (-.f64 x.im (.f64 (cbrt.f64 (pow.f64 (.f64 x.re (/.f64 y.im y.re)) #s(literal 2 binary64))) (cbrt.f64 (.f64 x.re (/.f64 y.im y.re))))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 x.re (/.f64 y.im y.re)))) (cbrt.f64 (pow.f64 (.f64 x.re (/.f64 y.im y.re)) #s(literal 2 binary64))) (.f64 (cbrt.f64 (pow.f64 (.f64 x.re (/.f64 y.im y.re)) #s(literal 2 binary64))) (cbrt.f64 (.f64 x.re (/.f64 y.im y.re))))))
(+.f64 (-.f64 x.im (.f64 (cbrt.f64 (pow.f64 (.f64 x.re (/.f64 y.im y.re)) #s(literal 2 binary64))) (cbrt.f64 (.f64 x.re (/.f64 y.im y.re))))) (.f64 #s(literal 0 binary64) (.f64 (cbrt.f64 (pow.f64 (.f64 x.re (/.f64 y.im y.re)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x.re (/.f64 y.im y.re))))))
(+.f64 (.f64 x.im #s(literal 1 binary64)) (.f64 (/.f64 (*.f64 y.im x.re) y.re) #s(literal 1 binary64)))
(+.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))
(.f64 (+.f64 x.im (/.f64 (.f64 y.im x.re) y.re)) #s(literal 1 binary64))
(+.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))
(.f64 #s(literal 1 binary64) (+.f64 x.im (/.f64 (.f64 y.im x.re) y.re)))
(+.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 x.im (/.f64 (.f64 y.im x.re) y.re))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x.im (/.f64 (*.f64 y.im x.re) y.re))))
(+.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))
(.f64 (pow.f64 (+.f64 x.im (/.f64 (.f64 y.im x.re) y.re)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x.im (/.f64 (*.f64 y.im x.re) y.re))))
(/.f64 (pow.f64 (+.f64 x.im (.f64 x.re (/.f64 y.im y.re))) #s(literal 2 binary64)) (+.f64 x.im (.f64 x.re (/.f64 y.im y.re))))
(.f64 (sqrt.f64 (+.f64 x.im (/.f64 (.f64 y.im x.re) y.re))) (sqrt.f64 (+.f64 x.im (/.f64 (*.f64 y.im x.re) y.re))))
(+.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))
(.f64 (-.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 y.im x.re) y.re) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (.f64 (/.f64 (.f64 y.im x.re) y.re) (+.f64 (/.f64 (*.f64 y.im x.re) y.re) x.im)))))
(/.f64 (-.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (.f64 x.re (/.f64 y.im y.re)) #s(literal 3 binary64))) (fma.f64 x.im x.im (.f64 (.f64 x.re (/.f64 y.im y.re)) (+.f64 x.im (.f64 x.re (/.f64 y.im y.re))))))
(.f64 (+.f64 (sqrt.f64 x.im) (sqrt.f64 (/.f64 (.f64 y.im x.re) y.re))) (-.f64 (sqrt.f64 x.im) (sqrt.f64 (/.f64 (*.f64 y.im x.re) y.re))))
(.f64 (+.f64 (sqrt.f64 (.f64 x.re (/.f64 y.im y.re))) (sqrt.f64 x.im)) (-.f64 (sqrt.f64 x.im) (sqrt.f64 (*.f64 x.re (/.f64 y.im y.re)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im x.im (.f64 (/.f64 (.f64 y.im x.re) y.re) (+.f64 (/.f64 (.f64 y.im x.re) y.re) x.im))) (-.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 y.im x.re) y.re) #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (.f64 x.re (/.f64 y.im y.re)) #s(literal 3 binary64))) (fma.f64 x.im x.im (.f64 (.f64 x.re (/.f64 y.im y.re)) (+.f64 x.im (.f64 x.re (/.f64 y.im y.re))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x.im (/.f64 (.f64 y.im x.re) y.re)) (pow.f64 (+.f64 x.im (/.f64 (.f64 y.im x.re) y.re)) #s(literal 2 binary64))))
(/.f64 (pow.f64 (+.f64 x.im (.f64 x.re (/.f64 y.im y.re))) #s(literal 2 binary64)) (+.f64 x.im (.f64 x.re (/.f64 y.im y.re))))
(/.f64 (pow.f64 (+.f64 x.im (/.f64 (.f64 y.im x.re) y.re)) #s(literal 2 binary64)) (+.f64 x.im (/.f64 (.f64 y.im x.re) y.re)))
(/.f64 (pow.f64 (+.f64 x.im (.f64 x.re (/.f64 y.im y.re))) #s(literal 2 binary64)) (+.f64 x.im (.f64 x.re (/.f64 y.im y.re))))
(/.f64 (-.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 y.im x.re) y.re) #s(literal 3 binary64))) (fma.f64 x.im x.im (.f64 (/.f64 (.f64 y.im x.re) y.re) (+.f64 (/.f64 (.f64 y.im x.re) y.re) x.im))))
(/.f64 (-.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (.f64 x.re (/.f64 y.im y.re)) #s(literal 3 binary64))) (fma.f64 x.im x.im (.f64 (.f64 x.re (/.f64 y.im y.re)) (+.f64 x.im (.f64 x.re (/.f64 y.im y.re))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 y.im x.re) y.re) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x.im x.im (.f64 (/.f64 (.f64 y.im x.re) y.re) (+.f64 (/.f64 (.f64 y.im x.re) y.re) x.im)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (.f64 x.re (/.f64 y.im y.re)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x.im x.im (.f64 (.f64 x.re (/.f64 y.im y.re)) (+.f64 x.im (.f64 x.re (/.f64 y.im y.re)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (.f64 x.re (/.f64 y.im y.re)) #s(literal 3 binary64))))) (fma.f64 x.im x.im (.f64 (.f64 x.re (/.f64 y.im y.re)) (+.f64 x.im (.f64 x.re (/.f64 y.im y.re))))))
(/.f64 (neg.f64 (pow.f64 (+.f64 x.im (/.f64 (.f64 y.im x.re) y.re)) #s(literal 2 binary64))) (neg.f64 (+.f64 x.im (/.f64 (.f64 y.im x.re) y.re))))
(/.f64 (neg.f64 (pow.f64 (+.f64 x.im (.f64 x.re (/.f64 y.im y.re))) #s(literal 2 binary64))) (neg.f64 (+.f64 x.im (.f64 x.re (/.f64 y.im y.re)))))
(/.f64 (pow.f64 (+.f64 x.im (.f64 x.re (/.f64 y.im y.re))) #s(literal 2 binary64)) (neg.f64 (-.f64 (neg.f64 x.im) (.f64 x.re (/.f64 y.im y.re)))))
(/.f64 (+.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 y.im x.re) y.re) #s(literal 3 binary64))) (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (.f64 y.im x.re) y.re) #s(literal 2 binary64)) (.f64 x.im (/.f64 (.f64 y.im x.re) y.re)))))
(/.f64 (+.f64 (pow.f64 (.f64 x.re (/.f64 y.im y.re)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (-.f64 (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 (.f64 x.re (/.f64 y.im y.re)) #s(literal 2 binary64))) (.f64 x.im (.f64 x.re (/.f64 y.im y.re)))))
(/.f64 (+.f64 (pow.f64 (.f64 x.re (/.f64 y.im y.re)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 (.f64 x.re (/.f64 y.im y.re)) (-.f64 (.f64 x.re (/.f64 y.im y.re)) x.im))))
(pow.f64 (+.f64 x.im (/.f64 (*.f64 y.im x.re) y.re)) #s(literal 1 binary64))
(+.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))
(pow.f64 (cbrt.f64 (+.f64 x.im (/.f64 (*.f64 y.im x.re) y.re))) #s(literal 3 binary64))
(+.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))
(pow.f64 (pow.f64 (+.f64 x.im (/.f64 (*.f64 y.im x.re) y.re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(+.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))
(pow.f64 (sqrt.f64 (+.f64 x.im (/.f64 (*.f64 y.im x.re) y.re))) #s(literal 2 binary64))
(+.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))
(sqrt.f64 (pow.f64 (+.f64 x.im (/.f64 (*.f64 y.im x.re) y.re)) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) #s(literal 2 binary64)))
(fabs.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.im y.re))))
(log.f64 (exp.f64 (+.f64 x.im (/.f64 (*.f64 y.im x.re) y.re))))
(+.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x.im (/.f64 (*.f64 y.im x.re) y.re)))))
(+.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))
(cbrt.f64 (pow.f64 (+.f64 x.im (/.f64 (*.f64 y.im x.re) y.re)) #s(literal 3 binary64)))
(+.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))
(expm1.f64 (log1p.f64 (+.f64 x.im (/.f64 (*.f64 y.im x.re) y.re))))
(expm1.f64 (log1p.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))))
(log1p.f64 (expm1.f64 (+.f64 x.im (/.f64 (*.f64 y.im x.re) y.re))))
(+.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))
(exp.f64 (log.f64 (+.f64 x.im (/.f64 (*.f64 y.im x.re) y.re))))
(+.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))
(exp.f64 (.f64 (log.f64 (+.f64 x.im (/.f64 (.f64 y.im x.re) y.re))) #s(literal 1 binary64)))
(+.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))
(fma.f64 #s(literal 1 binary64) x.im (/.f64 (*.f64 y.im x.re) y.re))
(+.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))
(fma.f64 (cbrt.f64 (pow.f64 x.im #s(literal 2 binary64))) (cbrt.f64 x.im) (/.f64 (*.f64 y.im x.re) y.re))
(fma.f64 (cbrt.f64 (pow.f64 x.im #s(literal 2 binary64))) (cbrt.f64 x.im) (*.f64 x.re (/.f64 y.im y.re)))
(fma.f64 (sqrt.f64 x.im) (sqrt.f64 x.im) (/.f64 (*.f64 y.im x.re) y.re))
(+.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))

eval937.0ms (7.2%)

Memory: -4.3MiB live, 267.3MiB allocated
Compiler: Compiled 22 337 to 4 061 computations (81.8% saved)

prune383.0ms (2.9%)

Memory

-16.7MiB live, 383.8MiB allocated

Pruning

28 alts after pruning (20 fresh and 8 done)

	Pruned	Kept	Total
New	1 180	10	1 190
Fresh	1	10	11
Picked	3	2	5
Done	1	6	7
Total	1 185	28	1 213

Accuracy

100.0%

Counts

1 213 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	13.2%	(pow.f64 (sqrt.f64 (/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.re y.im))) y.im)) #s(literal 2 binary64))
	25.5%	(/.f64 (/.f64 (*.f64 x.re y.im) (neg.f64 y.re)) y.re)
	48.9%	(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
	50.2%	(/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)
✓	64.7%	(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
	61.0%	(/.f64 (-.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y.re y.im) x.re))) y.re)
✓	59.4%	(/.f64 (-.f64 x.im (.f64 (.f64 y.im x.re) (/.f64 #s(literal 1 binary64) y.re))) y.re)
✓	61.0%	(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
	44.9%	(/.f64 (-.f64 x.im (*.f64 x.im (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64)))) y.re)
	37.2%	(/.f64 (.f64 (/.f64 (/.f64 (.f64 x.im y.re) x.re) (hypot.f64 y.im y.re)) x.re) (hypot.f64 y.im y.re))
	26.8%	(/.f64 (*.f64 y.im (/.f64 x.re (neg.f64 y.re))) y.re)
✓	29.0%	(/.f64 (.f64 x.re (.f64 x.im (/.f64 y.re x.re))) (fma.f64 y.im y.im (*.f64 y.re y.re)))
✓	39.3%	(/.f64 (neg.f64 x.re) y.im)
	35.2%	(/.f64 (neg.f64 x.im) (hypot.f64 y.im y.re))
	11.6%	(/.f64 (neg.f64 x.im) y.re)
	10.2%	(/.f64 (neg.f64 x.im) y.im)
✓	10.3%	(/.f64 x.re y.im)
✓	47.0%	(/.f64 x.im y.re)
	10.7%	(/.f64 x.im y.im)
	10.3%	(/.f64 #s(literal 1 binary64) (/.f64 y.im x.re))
✓	33.3%	(*.f64 (/.f64 x.im (neg.f64 x.re)) (/.f64 x.re (hypot.f64 y.im y.re)))
	12.7%	(*.f64 (/.f64 x.im (neg.f64 x.re)) (/.f64 x.re y.im))
	26.7%	(.f64 (.f64 x.re (/.f64 y.im y.re)) (/.f64 #s(literal 1 binary64) (neg.f64 y.re)))
	11.7%	(*.f64 x.re (/.f64 (/.f64 y.im y.re) y.re))
	39.2%	(*.f64 x.re (/.f64 #s(literal 1 binary64) (neg.f64 y.im)))
	41.2%	(neg.f64 (/.f64 (/.f64 (-.f64 (.f64 x.re y.im) (.f64 x.im y.re)) y.im) y.im))
	47.5%	(neg.f64 (/.f64 (.f64 x.re (-.f64 #s(literal 1 binary64) (.f64 x.im (/.f64 (/.f64 y.re y.im) x.re)))) y.im))
	25.7%	(neg.f64 (*.f64 x.re (/.f64 (/.f64 y.im y.re) y.re)))

Compiler

Compiled 786 to 373 computations (52.5% saved)

regimes151.0ms (1.2%)

Memory

17.1MiB live, 94.5MiB allocated

Counts

43 → 3

Calls

Call 1

Inputs
(/.f64 x.im y.im)
(/.f64 x.im y.re)
(/.f64 x.re y.im)
(/.f64 (neg.f64 x.im) y.im)
(/.f64 (neg.f64 x.im) y.re)
(/.f64 (neg.f64 x.re) y.im)
(*.f64 x.im (/.f64 #s(literal 1 binary64) y.re))
(/.f64 #s(literal 1 binary64) (/.f64 y.im x.re))
(*.f64 x.re (/.f64 #s(literal 1 binary64) (neg.f64 y.im)))
(*.f64 x.re (/.f64 (/.f64 y.im y.re) y.re))
(neg.f64 (*.f64 x.re (/.f64 (/.f64 y.im y.re) y.re)))
(*.f64 (/.f64 x.im (neg.f64 x.re)) (/.f64 x.re y.im))
(/.f64 (*.f64 x.re (/.f64 (neg.f64 y.im) y.re)) y.re)
(/.f64 (*.f64 y.im (/.f64 x.re (neg.f64 y.re))) y.re)
(/.f64 (/.f64 (*.f64 x.re y.im) (neg.f64 y.re)) y.re)
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
(/.f64 (-.f64 x.im (/.f64 (*.f64 y.im x.re) y.re)) y.re)
(/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)
(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
(.f64 (.f64 x.re (/.f64 y.im y.re)) (/.f64 #s(literal 1 binary64) (neg.f64 y.re)))
(neg.f64 (/.f64 (+.f64 x.re (neg.f64 (*.f64 x.im (/.f64 y.re y.im)))) y.im))
(.f64 (-.f64 x.im (.f64 y.im (/.f64 x.re y.re))) (/.f64 #s(literal 1 binary64) y.re))
(/.f64 (-.f64 x.im (.f64 (.f64 y.im x.re) (/.f64 #s(literal 1 binary64) y.re))) y.re)
(/.f64 (-.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y.re y.im) x.re))) y.re)
(neg.f64 (/.f64 (/.f64 (-.f64 (.f64 x.re y.im) (.f64 x.im y.re)) y.im) y.im))
(neg.f64 (/.f64 (.f64 x.re (-.f64 #s(literal 1 binary64) (.f64 x.im (/.f64 (/.f64 y.re y.im) x.re)))) y.im))
(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
(/.f64 (neg.f64 x.im) (hypot.f64 y.im y.re))
(*.f64 (/.f64 x.im (neg.f64 x.re)) (/.f64 x.re (hypot.f64 y.im y.re)))
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x.im (*.f64 x.re (/.f64 y.im y.re))) y.re))
(/.f64 (-.f64 x.im (*.f64 x.im (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64)))) y.re)
(/.f64 (.f64 x.re (.f64 x.im (/.f64 y.re x.re))) (fma.f64 y.im y.im (*.f64 y.re y.re)))
(/.f64 (.f64 x.re (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im)) (fma.f64 y.im y.im (*.f64 y.re y.re)))
(pow.f64 (cbrt.f64 (/.f64 x.im y.re)) #s(literal 3 binary64))
(/.f64 (exp.f64 (log.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))))) y.re)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.re y.im))) y.im)) #s(literal 2 binary64))
(/.f64 (fma.f64 x.im y.re (.f64 x.re (neg.f64 y.im))) (fma.f64 y.im y.im (.f64 y.re y.re)))
(/.f64 (.f64 (/.f64 (/.f64 (.f64 x.im y.re) x.re) (hypot.f64 y.im y.re)) x.re) (hypot.f64 y.im y.re))
(.f64 (/.f64 (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im) (hypot.f64 y.im y.re)) (/.f64 x.re (hypot.f64 y.im y.re)))
(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.im y.re (.f64 x.re y.im)) (hypot.f64 y.re y.im)))
(/.f64 (*.f64 (/.f64 (fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im)) (hypot.f64 y.im y.re)) x.re) (hypot.f64 y.im y.re))
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64)))))
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))

Outputs

(/.f64 (*.f64 (/.f64 (fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im)) (hypot.f64 y.im y.re)) x.re) (hypot.f64 y.im y.re))

(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))

(*.f64 (/.f64 (-.f64 (*.f64 x.im (/.f64 y.re x.re)) y.im) (hypot.f64 y.im y.re)) (/.f64 x.re (hypot.f64 y.im y.re)))

Calls

5 calls:

76.0ms	x.re
33.0ms	y.re
13.0ms	y.im
13.0ms	x.im
12.0ms	(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))

Results

Accuracy	Segments	Branch
94.6%	3	`x.re`
88.7%	3	`x.im`
90.0%	3	`y.re`
91.0%	3	`y.im`
84.9%	2	`(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))`

Compiler

Compiled 39 to 27 computations (30.8% saved)

regimes88.0ms (0.7%)

Memory

-12.2MiB live, 83.3MiB allocated

Counts

42 → 3

Calls

Call 1

Inputs
(/.f64 x.im y.im)
(/.f64 x.im y.re)
(/.f64 x.re y.im)
(/.f64 (neg.f64 x.im) y.im)
(/.f64 (neg.f64 x.im) y.re)
(/.f64 (neg.f64 x.re) y.im)
(*.f64 x.im (/.f64 #s(literal 1 binary64) y.re))
(/.f64 #s(literal 1 binary64) (/.f64 y.im x.re))
(*.f64 x.re (/.f64 #s(literal 1 binary64) (neg.f64 y.im)))
(*.f64 x.re (/.f64 (/.f64 y.im y.re) y.re))
(neg.f64 (*.f64 x.re (/.f64 (/.f64 y.im y.re) y.re)))
(*.f64 (/.f64 x.im (neg.f64 x.re)) (/.f64 x.re y.im))
(/.f64 (*.f64 x.re (/.f64 (neg.f64 y.im) y.re)) y.re)
(/.f64 (*.f64 y.im (/.f64 x.re (neg.f64 y.re))) y.re)
(/.f64 (/.f64 (*.f64 x.re y.im) (neg.f64 y.re)) y.re)
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
(/.f64 (-.f64 x.im (/.f64 (*.f64 y.im x.re) y.re)) y.re)
(/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)
(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
(.f64 (.f64 x.re (/.f64 y.im y.re)) (/.f64 #s(literal 1 binary64) (neg.f64 y.re)))
(neg.f64 (/.f64 (+.f64 x.re (neg.f64 (*.f64 x.im (/.f64 y.re y.im)))) y.im))
(.f64 (-.f64 x.im (.f64 y.im (/.f64 x.re y.re))) (/.f64 #s(literal 1 binary64) y.re))
(/.f64 (-.f64 x.im (.f64 (.f64 y.im x.re) (/.f64 #s(literal 1 binary64) y.re))) y.re)
(/.f64 (-.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y.re y.im) x.re))) y.re)
(neg.f64 (/.f64 (/.f64 (-.f64 (.f64 x.re y.im) (.f64 x.im y.re)) y.im) y.im))
(neg.f64 (/.f64 (.f64 x.re (-.f64 #s(literal 1 binary64) (.f64 x.im (/.f64 (/.f64 y.re y.im) x.re)))) y.im))
(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
(/.f64 (neg.f64 x.im) (hypot.f64 y.im y.re))
(*.f64 (/.f64 x.im (neg.f64 x.re)) (/.f64 x.re (hypot.f64 y.im y.re)))
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x.im (*.f64 x.re (/.f64 y.im y.re))) y.re))
(/.f64 (-.f64 x.im (*.f64 x.im (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64)))) y.re)
(/.f64 (.f64 x.re (.f64 x.im (/.f64 y.re x.re))) (fma.f64 y.im y.im (*.f64 y.re y.re)))
(/.f64 (.f64 x.re (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im)) (fma.f64 y.im y.im (*.f64 y.re y.re)))
(pow.f64 (cbrt.f64 (/.f64 x.im y.re)) #s(literal 3 binary64))
(/.f64 (exp.f64 (log.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))))) y.re)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.re y.im))) y.im)) #s(literal 2 binary64))
(/.f64 (fma.f64 x.im y.re (.f64 x.re (neg.f64 y.im))) (fma.f64 y.im y.im (.f64 y.re y.re)))
(/.f64 (.f64 (/.f64 (/.f64 (.f64 x.im y.re) x.re) (hypot.f64 y.im y.re)) x.re) (hypot.f64 y.im y.re))
(.f64 (/.f64 (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im) (hypot.f64 y.im y.re)) (/.f64 x.re (hypot.f64 y.im y.re)))
(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.im y.re (.f64 x.re y.im)) (hypot.f64 y.re y.im)))
(/.f64 (*.f64 (/.f64 (fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im)) (hypot.f64 y.im y.re)) x.re) (hypot.f64 y.im y.re))
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64)))))

Outputs

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

(/.f64 (*.f64 (/.f64 (fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im)) (hypot.f64 y.im y.re)) x.re) (hypot.f64 y.im y.re))

(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64)))))

Calls

4 calls:

46.0ms	x.re
13.0ms	x.im
12.0ms	y.re
12.0ms	y.im

Results

Accuracy	Segments	Branch
82.3%	6	`x.im`
88.0%	3	`y.re`
86.4%	5	`y.im`
86.3%	3	`x.re`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes22.0ms (0.2%)

Memory

-19.1MiB live, 19.9MiB allocated

Counts

41 → 4

Calls

Call 1

Inputs
(/.f64 x.im y.im)
(/.f64 x.im y.re)
(/.f64 x.re y.im)
(/.f64 (neg.f64 x.im) y.im)
(/.f64 (neg.f64 x.im) y.re)
(/.f64 (neg.f64 x.re) y.im)
(*.f64 x.im (/.f64 #s(literal 1 binary64) y.re))
(/.f64 #s(literal 1 binary64) (/.f64 y.im x.re))
(*.f64 x.re (/.f64 #s(literal 1 binary64) (neg.f64 y.im)))
(*.f64 x.re (/.f64 (/.f64 y.im y.re) y.re))
(neg.f64 (*.f64 x.re (/.f64 (/.f64 y.im y.re) y.re)))
(*.f64 (/.f64 x.im (neg.f64 x.re)) (/.f64 x.re y.im))
(/.f64 (*.f64 x.re (/.f64 (neg.f64 y.im) y.re)) y.re)
(/.f64 (*.f64 y.im (/.f64 x.re (neg.f64 y.re))) y.re)
(/.f64 (/.f64 (*.f64 x.re y.im) (neg.f64 y.re)) y.re)
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
(/.f64 (-.f64 x.im (/.f64 (*.f64 y.im x.re) y.re)) y.re)
(/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)
(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
(.f64 (.f64 x.re (/.f64 y.im y.re)) (/.f64 #s(literal 1 binary64) (neg.f64 y.re)))
(neg.f64 (/.f64 (+.f64 x.re (neg.f64 (*.f64 x.im (/.f64 y.re y.im)))) y.im))
(.f64 (-.f64 x.im (.f64 y.im (/.f64 x.re y.re))) (/.f64 #s(literal 1 binary64) y.re))
(/.f64 (-.f64 x.im (.f64 (.f64 y.im x.re) (/.f64 #s(literal 1 binary64) y.re))) y.re)
(/.f64 (-.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y.re y.im) x.re))) y.re)
(neg.f64 (/.f64 (/.f64 (-.f64 (.f64 x.re y.im) (.f64 x.im y.re)) y.im) y.im))
(neg.f64 (/.f64 (.f64 x.re (-.f64 #s(literal 1 binary64) (.f64 x.im (/.f64 (/.f64 y.re y.im) x.re)))) y.im))
(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
(/.f64 (neg.f64 x.im) (hypot.f64 y.im y.re))
(*.f64 (/.f64 x.im (neg.f64 x.re)) (/.f64 x.re (hypot.f64 y.im y.re)))
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x.im (*.f64 x.re (/.f64 y.im y.re))) y.re))
(/.f64 (-.f64 x.im (*.f64 x.im (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64)))) y.re)
(/.f64 (.f64 x.re (.f64 x.im (/.f64 y.re x.re))) (fma.f64 y.im y.im (*.f64 y.re y.re)))
(/.f64 (.f64 x.re (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im)) (fma.f64 y.im y.im (*.f64 y.re y.re)))
(pow.f64 (cbrt.f64 (/.f64 x.im y.re)) #s(literal 3 binary64))
(/.f64 (exp.f64 (log.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))))) y.re)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.re y.im))) y.im)) #s(literal 2 binary64))
(/.f64 (fma.f64 x.im y.re (.f64 x.re (neg.f64 y.im))) (fma.f64 y.im y.im (.f64 y.re y.re)))
(/.f64 (.f64 (/.f64 (/.f64 (.f64 x.im y.re) x.re) (hypot.f64 y.im y.re)) x.re) (hypot.f64 y.im y.re))
(.f64 (/.f64 (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im) (hypot.f64 y.im y.re)) (/.f64 x.re (hypot.f64 y.im y.re)))
(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.im y.re (.f64 x.re y.im)) (hypot.f64 y.re y.im)))
(/.f64 (*.f64 (/.f64 (fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im)) (hypot.f64 y.im y.re)) x.re) (hypot.f64 y.im y.re))

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

Calls

1 calls:

12.0ms

y.re

Results

Accuracy	Segments	Branch
89.4%	4	`y.re`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes15.0ms (0.1%)

Memory

32.3MiB live, 32.3MiB allocated

Counts

40 → 4

Calls

Call 1

Inputs
(/.f64 x.im y.im)
(/.f64 x.im y.re)
(/.f64 x.re y.im)
(/.f64 (neg.f64 x.im) y.im)
(/.f64 (neg.f64 x.im) y.re)
(/.f64 (neg.f64 x.re) y.im)
(*.f64 x.im (/.f64 #s(literal 1 binary64) y.re))
(/.f64 #s(literal 1 binary64) (/.f64 y.im x.re))
(*.f64 x.re (/.f64 #s(literal 1 binary64) (neg.f64 y.im)))
(*.f64 x.re (/.f64 (/.f64 y.im y.re) y.re))
(neg.f64 (*.f64 x.re (/.f64 (/.f64 y.im y.re) y.re)))
(*.f64 (/.f64 x.im (neg.f64 x.re)) (/.f64 x.re y.im))
(/.f64 (*.f64 x.re (/.f64 (neg.f64 y.im) y.re)) y.re)
(/.f64 (*.f64 y.im (/.f64 x.re (neg.f64 y.re))) y.re)
(/.f64 (/.f64 (*.f64 x.re y.im) (neg.f64 y.re)) y.re)
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
(/.f64 (-.f64 x.im (/.f64 (*.f64 y.im x.re) y.re)) y.re)
(/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)
(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
(.f64 (.f64 x.re (/.f64 y.im y.re)) (/.f64 #s(literal 1 binary64) (neg.f64 y.re)))
(neg.f64 (/.f64 (+.f64 x.re (neg.f64 (*.f64 x.im (/.f64 y.re y.im)))) y.im))
(.f64 (-.f64 x.im (.f64 y.im (/.f64 x.re y.re))) (/.f64 #s(literal 1 binary64) y.re))
(/.f64 (-.f64 x.im (.f64 (.f64 y.im x.re) (/.f64 #s(literal 1 binary64) y.re))) y.re)
(/.f64 (-.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y.re y.im) x.re))) y.re)
(neg.f64 (/.f64 (/.f64 (-.f64 (.f64 x.re y.im) (.f64 x.im y.re)) y.im) y.im))
(neg.f64 (/.f64 (.f64 x.re (-.f64 #s(literal 1 binary64) (.f64 x.im (/.f64 (/.f64 y.re y.im) x.re)))) y.im))
(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
(/.f64 (neg.f64 x.im) (hypot.f64 y.im y.re))
(*.f64 (/.f64 x.im (neg.f64 x.re)) (/.f64 x.re (hypot.f64 y.im y.re)))
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x.im (*.f64 x.re (/.f64 y.im y.re))) y.re))
(/.f64 (-.f64 x.im (*.f64 x.im (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64)))) y.re)
(/.f64 (.f64 x.re (.f64 x.im (/.f64 y.re x.re))) (fma.f64 y.im y.im (*.f64 y.re y.re)))
(/.f64 (.f64 x.re (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im)) (fma.f64 y.im y.im (*.f64 y.re y.re)))
(pow.f64 (cbrt.f64 (/.f64 x.im y.re)) #s(literal 3 binary64))
(/.f64 (exp.f64 (log.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))))) y.re)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.re y.im))) y.im)) #s(literal 2 binary64))
(/.f64 (fma.f64 x.im y.re (.f64 x.re (neg.f64 y.im))) (fma.f64 y.im y.im (.f64 y.re y.re)))
(/.f64 (.f64 (/.f64 (/.f64 (.f64 x.im y.re) x.re) (hypot.f64 y.im y.re)) x.re) (hypot.f64 y.im y.re))
(.f64 (/.f64 (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im) (hypot.f64 y.im y.re)) (/.f64 x.re (hypot.f64 y.im y.re)))
(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.im y.re (.f64 x.re y.im)) (hypot.f64 y.re y.im)))

Outputs
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
(.f64 (/.f64 (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im) (hypot.f64 y.im y.re)) (/.f64 x.re (hypot.f64 y.im y.re)))
(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)

Calls

1 calls:

12.0ms

y.re

Results

Accuracy	Segments	Branch
89.1%	4	`y.re`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes88.0ms (0.7%)

Memory

-2.3MiB live, 115.7MiB allocated

Counts

38 → 5

Calls

Call 1

Inputs
(/.f64 x.im y.im)
(/.f64 x.im y.re)
(/.f64 x.re y.im)
(/.f64 (neg.f64 x.im) y.im)
(/.f64 (neg.f64 x.im) y.re)
(/.f64 (neg.f64 x.re) y.im)
(*.f64 x.im (/.f64 #s(literal 1 binary64) y.re))
(/.f64 #s(literal 1 binary64) (/.f64 y.im x.re))
(*.f64 x.re (/.f64 #s(literal 1 binary64) (neg.f64 y.im)))
(*.f64 x.re (/.f64 (/.f64 y.im y.re) y.re))
(neg.f64 (*.f64 x.re (/.f64 (/.f64 y.im y.re) y.re)))
(*.f64 (/.f64 x.im (neg.f64 x.re)) (/.f64 x.re y.im))
(/.f64 (*.f64 x.re (/.f64 (neg.f64 y.im) y.re)) y.re)
(/.f64 (*.f64 y.im (/.f64 x.re (neg.f64 y.re))) y.re)
(/.f64 (/.f64 (*.f64 x.re y.im) (neg.f64 y.re)) y.re)
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
(/.f64 (-.f64 x.im (/.f64 (*.f64 y.im x.re) y.re)) y.re)
(/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)
(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
(.f64 (.f64 x.re (/.f64 y.im y.re)) (/.f64 #s(literal 1 binary64) (neg.f64 y.re)))
(neg.f64 (/.f64 (+.f64 x.re (neg.f64 (*.f64 x.im (/.f64 y.re y.im)))) y.im))
(.f64 (-.f64 x.im (.f64 y.im (/.f64 x.re y.re))) (/.f64 #s(literal 1 binary64) y.re))
(/.f64 (-.f64 x.im (.f64 (.f64 y.im x.re) (/.f64 #s(literal 1 binary64) y.re))) y.re)
(/.f64 (-.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y.re y.im) x.re))) y.re)
(neg.f64 (/.f64 (/.f64 (-.f64 (.f64 x.re y.im) (.f64 x.im y.re)) y.im) y.im))
(neg.f64 (/.f64 (.f64 x.re (-.f64 #s(literal 1 binary64) (.f64 x.im (/.f64 (/.f64 y.re y.im) x.re)))) y.im))
(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
(/.f64 (neg.f64 x.im) (hypot.f64 y.im y.re))
(*.f64 (/.f64 x.im (neg.f64 x.re)) (/.f64 x.re (hypot.f64 y.im y.re)))
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x.im (*.f64 x.re (/.f64 y.im y.re))) y.re))
(/.f64 (-.f64 x.im (*.f64 x.im (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64)))) y.re)
(/.f64 (.f64 x.re (.f64 x.im (/.f64 y.re x.re))) (fma.f64 y.im y.im (*.f64 y.re y.re)))
(/.f64 (.f64 x.re (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im)) (fma.f64 y.im y.im (*.f64 y.re y.re)))
(pow.f64 (cbrt.f64 (/.f64 x.im y.re)) #s(literal 3 binary64))
(/.f64 (exp.f64 (log.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))))) y.re)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.re y.im))) y.im)) #s(literal 2 binary64))
(/.f64 (fma.f64 x.im y.re (.f64 x.re (neg.f64 y.im))) (fma.f64 y.im y.im (.f64 y.re y.re)))
(/.f64 (.f64 (/.f64 (/.f64 (.f64 x.im y.re) x.re) (hypot.f64 y.im y.re)) x.re) (hypot.f64 y.im y.re))

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

Calls

3 calls:

52.0ms	y.re
21.0ms	(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
12.0ms	x.re

Results

Accuracy	Segments	Branch
67.6%	2	`x.re`
78.2%	3	`(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))`
87.9%	5	`y.re`

Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes14.0ms (0.1%)

Memory

-0.4MiB live, 38.0MiB allocated

Counts

36 → 5

Calls

Call 1

Inputs
(/.f64 x.im y.im)
(/.f64 x.im y.re)
(/.f64 x.re y.im)
(/.f64 (neg.f64 x.im) y.im)
(/.f64 (neg.f64 x.im) y.re)
(/.f64 (neg.f64 x.re) y.im)
(*.f64 x.im (/.f64 #s(literal 1 binary64) y.re))
(/.f64 #s(literal 1 binary64) (/.f64 y.im x.re))
(*.f64 x.re (/.f64 #s(literal 1 binary64) (neg.f64 y.im)))
(*.f64 x.re (/.f64 (/.f64 y.im y.re) y.re))
(neg.f64 (*.f64 x.re (/.f64 (/.f64 y.im y.re) y.re)))
(*.f64 (/.f64 x.im (neg.f64 x.re)) (/.f64 x.re y.im))
(/.f64 (*.f64 x.re (/.f64 (neg.f64 y.im) y.re)) y.re)
(/.f64 (*.f64 y.im (/.f64 x.re (neg.f64 y.re))) y.re)
(/.f64 (/.f64 (*.f64 x.re y.im) (neg.f64 y.re)) y.re)
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
(/.f64 (-.f64 x.im (/.f64 (*.f64 y.im x.re) y.re)) y.re)
(/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)
(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
(.f64 (.f64 x.re (/.f64 y.im y.re)) (/.f64 #s(literal 1 binary64) (neg.f64 y.re)))
(neg.f64 (/.f64 (+.f64 x.re (neg.f64 (*.f64 x.im (/.f64 y.re y.im)))) y.im))
(.f64 (-.f64 x.im (.f64 y.im (/.f64 x.re y.re))) (/.f64 #s(literal 1 binary64) y.re))
(/.f64 (-.f64 x.im (.f64 (.f64 y.im x.re) (/.f64 #s(literal 1 binary64) y.re))) y.re)
(/.f64 (-.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y.re y.im) x.re))) y.re)
(neg.f64 (/.f64 (/.f64 (-.f64 (.f64 x.re y.im) (.f64 x.im y.re)) y.im) y.im))
(neg.f64 (/.f64 (.f64 x.re (-.f64 #s(literal 1 binary64) (.f64 x.im (/.f64 (/.f64 y.re y.im) x.re)))) y.im))
(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
(/.f64 (neg.f64 x.im) (hypot.f64 y.im y.re))
(*.f64 (/.f64 x.im (neg.f64 x.re)) (/.f64 x.re (hypot.f64 y.im y.re)))
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x.im (*.f64 x.re (/.f64 y.im y.re))) y.re))
(/.f64 (-.f64 x.im (*.f64 x.im (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64)))) y.re)
(/.f64 (.f64 x.re (.f64 x.im (/.f64 y.re x.re))) (fma.f64 y.im y.im (*.f64 y.re y.re)))
(/.f64 (.f64 x.re (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im)) (fma.f64 y.im y.im (*.f64 y.re y.re)))
(pow.f64 (cbrt.f64 (/.f64 x.im y.re)) #s(literal 3 binary64))
(/.f64 (exp.f64 (log.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))))) y.re)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.re y.im))) y.im)) #s(literal 2 binary64))

Outputs
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
(/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)
(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)

Calls

1 calls:

12.0ms

y.re

Results

Accuracy	Segments	Branch
87.9%	5	`y.re`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes20.0ms (0.2%)

Memory

4.1MiB live, 42.5MiB allocated

Counts

26 → 3

Calls

Call 1

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

Outputs
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
(/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)

Calls

2 calls:

10.0ms	y.re
8.0ms	y.im

Results

Accuracy	Segments	Branch
78.9%	3	`y.im`
80.9%	3	`y.re`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes21.0ms (0.2%)

Memory

1.6MiB live, 43.7MiB allocated

Counts

17 → 3

Calls

Call 1

Inputs
(/.f64 x.im y.im)
(/.f64 x.im y.re)
(/.f64 x.re y.im)
(/.f64 (neg.f64 x.im) y.im)
(/.f64 (neg.f64 x.im) y.re)
(/.f64 (neg.f64 x.re) y.im)
(*.f64 x.im (/.f64 #s(literal 1 binary64) y.re))
(/.f64 #s(literal 1 binary64) (/.f64 y.im x.re))
(*.f64 x.re (/.f64 #s(literal 1 binary64) (neg.f64 y.im)))
(*.f64 x.re (/.f64 (/.f64 y.im y.re) y.re))
(neg.f64 (*.f64 x.re (/.f64 (/.f64 y.im y.re) y.re)))
(*.f64 (/.f64 x.im (neg.f64 x.re)) (/.f64 x.re y.im))
(/.f64 (*.f64 x.re (/.f64 (neg.f64 y.im) y.re)) y.re)
(/.f64 (*.f64 y.im (/.f64 x.re (neg.f64 y.re))) y.re)
(/.f64 (/.f64 (*.f64 x.re y.im) (neg.f64 y.re)) y.re)
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
(/.f64 (-.f64 x.im (/.f64 (*.f64 y.im x.re) y.re)) y.re)

Outputs
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
(/.f64 (neg.f64 x.re) y.im)
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)

Calls

3 calls:

8.0ms	y.re
6.0ms	y.im
6.0ms	x.im

Results

Accuracy	Segments	Branch
61.0%	1	`x.im`
73.7%	3	`y.im`
75.2%	3	`y.re`

Compiler

Compiled 15 to 12 computations (20% saved)

regimes17.0ms (0.1%)

Memory

4.4MiB live, 42.8MiB allocated

Counts

15 → 3

Calls

Call 1

Inputs
(/.f64 x.im y.im)
(/.f64 x.im y.re)
(/.f64 x.re y.im)
(/.f64 (neg.f64 x.im) y.im)
(/.f64 (neg.f64 x.im) y.re)
(/.f64 (neg.f64 x.re) y.im)
(*.f64 x.im (/.f64 #s(literal 1 binary64) y.re))
(/.f64 #s(literal 1 binary64) (/.f64 y.im x.re))
(*.f64 x.re (/.f64 #s(literal 1 binary64) (neg.f64 y.im)))
(*.f64 x.re (/.f64 (/.f64 y.im y.re) y.re))
(neg.f64 (*.f64 x.re (/.f64 (/.f64 y.im y.re) y.re)))
(*.f64 (/.f64 x.im (neg.f64 x.re)) (/.f64 x.re y.im))
(/.f64 (*.f64 x.re (/.f64 (neg.f64 y.im) y.re)) y.re)
(/.f64 (*.f64 y.im (/.f64 x.re (neg.f64 y.re))) y.re)
(/.f64 (/.f64 (*.f64 x.re y.im) (neg.f64 y.re)) y.re)

Outputs
(/.f64 x.im y.re)
(/.f64 (neg.f64 x.re) y.im)
(/.f64 x.im y.re)

Calls

3 calls:

6.0ms	y.re
5.0ms	y.im
5.0ms	x.re

Results

Accuracy	Segments	Branch
54.4%	3	`x.re`
64.7%	4	`y.im`
66.5%	3	`y.re`

Compiler

Compiled 15 to 12 computations (20% saved)

regimes12.0ms (0.1%)

Memory

-10.5MiB live, 28.0MiB allocated

Counts

5 → 3

Calls

Call 1

Inputs
(/.f64 x.im y.im)
(/.f64 x.im y.re)
(/.f64 x.re y.im)
(/.f64 (neg.f64 x.im) y.im)
(/.f64 (neg.f64 x.im) y.re)

Outputs
(/.f64 x.re y.im)
(/.f64 x.im y.re)
(/.f64 x.re y.im)

Calls

4 calls:

4.0ms	y.re
2.0ms	y.im
2.0ms	x.re
2.0ms	x.im

Results

Accuracy	Segments	Branch
47.0%	1	`x.re`
51.3%	3	`y.im`
47.0%	1	`x.im`
47.0%	1	`y.re`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes2.0ms (0%)

Memory

5.1MiB live, 5.1MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs
(/.f64 x.im y.im)
(/.f64 x.im y.re)

Outputs
(/.f64 x.im y.re)
(/.f64 x.im y.im)

Calls

1 calls:

2.0ms

y.im

Results

Accuracy	Segments	Branch
48.6%	2	`y.im`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes7.0ms (0.1%)

Memory

-22.8MiB live, 16.4MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(/.f64 x.im y.im)

Outputs
(/.f64 x.im y.im)

Calls

4 calls:

1.0ms	y.re
1.0ms	x.im
1.0ms	y.im
1.0ms	x.re

Results

Accuracy	Segments	Branch
10.7%	1	`x.re`
10.7%	1	`x.im`
10.7%	1	`y.re`
10.7%	1	`y.im`

Compiler

Compiled 20 to 16 computations (20% saved)

bsearch129.0ms (1%)

Memory

4.6MiB live, 47.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
113.0ms	5.237886495350813e-29	2.436707938855284e-24
13.0ms	-1.9226790383502643e-41	-2.415635676242502e-44

Samples

118.0ms

256×

valid

Compiler

Compiled 790 to 434 computations (45.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 7.0ms (65.9% of total)

ival-sub: 1.0ms (9.4% of total)

ival-div: 1.0ms (9.4% of total)

ival-add: 1.0ms (9.4% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

bsearch29.0ms (0.2%)

Memory

20.6MiB live, 59.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	7.054469324476341e+24	4.980601487145181e+28
13.0ms	-1.1577475951876916e+126	-2.465876780344285e+124

Samples

16.0ms

240×

valid

Compiler

Compiled 642 to 373 computations (41.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 6.0ms (59.2% of total)

ival-sub: 1.0ms (9.9% of total)

ival-div: 1.0ms (9.9% of total)

ival-add: 1.0ms (9.9% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

bsearch38.0ms (0.3%)

Memory

-2.3MiB live, 76.8MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	5.543265035443932e+91	1.9659505976436636e+93
11.0ms	1.375670813930467e+20	2.9002667306742375e+21
12.0ms	-1.1577475951876916e+126	-2.465876780344285e+124

Samples

24.0ms

336×

valid

Compiler

Compiled 806 to 480 computations (40.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 10.0ms (68.4% of total)

ival-div: 2.0ms (13.7% of total)

ival-sub: 1.0ms (6.8% of total)

ival-add: 1.0ms (6.8% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

bsearch100.0ms (0.8%)

Memory

-14.0MiB live, 67.8MiB allocated

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
69.0ms	5.543265035443932e+91	1.9659505976436636e+93
11.0ms	1.375670813930467e+20	2.9002667306742375e+21
16.0ms	-7.0608058650968845e+72	-5.576791969522953e+69

Samples

86.0ms

352×

valid

Compiler

Compiled 842 to 501 computations (40.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 76.0ms

ival-mult: 71.0ms (93% of total)

ival-div: 2.0ms (2.6% of total)

ival-sub: 1.0ms (1.3% of total)

ival-add: 1.0ms (1.3% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

bsearch54.0ms (0.4%)

Memory

19.8MiB live, 139.4MiB allocated

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	5.543265035443932e+91	1.9659505976436636e+93
8.0ms	8.387275050849622e-83	2.0224814890614245e-82
15.0ms	-7.878299902558102e-126	-1.8846972537744166e-133
14.0ms	-5.576791969522953e+69	-4.800428224785975e+66

Samples

34.0ms

464×

valid

Compiler

Compiled 996 to 615 computations (38.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-mult: 12.0ms (60.1% of total)

ival-sub: 3.0ms (15% of total)

ival-div: 3.0ms (15% of total)

ival-add: 2.0ms (10% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

bsearch53.0ms (0.4%)

Memory

-21.7MiB live, 136.7MiB allocated

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	5.543265035443932e+91	1.9659505976436636e+93
8.0ms	8.387275050849622e-83	2.0224814890614245e-82
15.0ms	-7.878299902558102e-126	-1.8846972537744166e-133
13.0ms	-5.576791969522953e+69	-4.800428224785975e+66

Samples

33.0ms

464×

valid

Compiler

Compiled 1 008 to 627 computations (37.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 12.0ms (56.3% of total)

ival-sub: 3.0ms (14.1% of total)

ival-div: 3.0ms (14.1% of total)

ival-add: 3.0ms (14.1% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

bsearch32.0ms (0.2%)

Memory

20.7MiB live, 97.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	0.0009577210854007528	0.49159358212405324
15.0ms	-6.006044127543858e-119	-1.491633810838483e-125

Samples

21.0ms

272×

valid

Compiler

Compiled 498 to 324 computations (34.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 8.0ms (59.1% of total)

ival-div: 3.0ms (22.1% of total)

ival-sub: 1.0ms (7.4% of total)

ival-add: 1.0ms (7.4% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

bsearch28.0ms (0.2%)

Memory

-35.3MiB live, 87.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.0009577210854007528	0.49159358212405324
12.0ms	-1.8846972537744166e-133	-1.7945715147258954e-135

Samples

17.0ms

240×

valid

Compiler

Compiled 367 to 258 computations (29.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 6.0ms (55% of total)

ival-sub: 2.0ms (18.3% of total)

ival-div: 1.0ms (9.2% of total)

ival-add: 1.0ms (9.2% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

bsearch23.0ms (0.2%)

Memory

33.1MiB live, 72.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	0.49159358212405324	2.6013399302648916
11.0ms	-1.8846972537744166e-133	-1.7945715147258954e-135

Samples

14.0ms

208×

valid

Compiler

Compiled 243 to 187 computations (23% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 5.0ms (59.2% of total)

ival-sub: 1.0ms (11.8% of total)

ival-div: 1.0ms (11.8% of total)

ival-add: 1.0ms (11.8% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

bsearch30.0ms (0.2%)

Memory

-6.9MiB live, 75.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	2.157507069884661e+198	1.5937403856999853e+202
13.0ms	-6.508782965186193e+202	-4.2407427066553286e+198

Samples

20.0ms

256×

valid

Compiler

Compiled 278 to 210 computations (24.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 9.0ms (71.5% of total)

ival-div: 2.0ms (15.9% of total)

ival-sub: 1.0ms (7.9% of total)

ival-add: 1.0ms (7.9% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

bsearch75.0ms (0.6%)

Memory

-19.3MiB live, 19.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
73.0ms	5.300168005430776e+215	3.8869149146882443e+216

Samples

71.0ms

96×

valid

Compiler

Compiled 118 to 90 computations (23.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

ival-mult: 67.0ms (98.4% of total)

ival-div: 1.0ms (1.5% of total)

ival-sub: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

ival-add: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

simplify36.0ms (0.3%)

Memory

23.4MiB live, 102.4MiB allocated

Algorithm

1×	egg-herbie

Rules

21×	`*-commutative`
17×	`+-commutative`
16×	`sub-neg`
12×	`neg-sub0`
12×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	146	1975
1	198	1975
2	233	1975
3	254	1975
4	265	1975
5	269	1975
6	270	1975

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x.re #s(literal -3515176971816541/6277101735386680763835789423207666416102355444464034512896 binary64)) (/.f64 (.f64 (/.f64 (fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im)) (hypot.f64 y.im y.re)) x.re) (hypot.f64 y.im y.re)) (if (<=.f64 x.re #s(literal 348449143727041/1393796574908163946345982392040522594123776 binary64)) (fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))) (.f64 (/.f64 (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im) (hypot.f64 y.im y.re)) (/.f64 x.re (hypot.f64 y.im y.re)))))
(if (<=.f64 y.re #s(literal -27999999999999999963014798172773937733993709529992061010898970261629723821738259693232519926214324553097960214178813572022272 binary64)) (/.f64 (-.f64 x.im (.f64 x.re (/.f64 y.im y.re))) y.re) (if (<=.f64 y.re #s(literal 47999999999999996239756132352 binary64)) (/.f64 (.f64 (/.f64 (fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im)) (hypot.f64 y.im y.re)) x.re) (hypot.f64 y.im y.re)) (fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64)))))))
(if (<=.f64 y.re #s(literal -41000000000000000113596138951121353674025117296726734149936531376552086360923235374533977400143006914443370198245312947027968 binary64)) (/.f64 (-.f64 x.im (.f64 x.re (/.f64 y.im y.re))) y.re) (if (<=.f64 y.re #s(literal 960000000000000000000 binary64)) (/.f64 (.f64 (/.f64 (fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im)) (hypot.f64 y.im y.re)) x.re) (hypot.f64 y.im y.re)) (if (<=.f64 y.re #s(literal 245000000000000007732635527848795702366847239396027435057234961746334518171532271982796079104 binary64)) (/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im))) (/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re))))
(if (<=.f64 y.re #s(literal -5800000000000000340992562887843343097084526164133749793831184548231118848 binary64)) (/.f64 (-.f64 x.im (.f64 x.re (/.f64 y.im y.re))) y.re) (if (<=.f64 y.re #s(literal 560000000000000000000 binary64)) (.f64 (/.f64 (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im) (hypot.f64 y.im y.re)) (/.f64 x.re (hypot.f64 y.im y.re))) (if (<=.f64 y.re #s(literal 80000000000000006364985988902439771452498091213352841275091519787903446017614089073134141440 binary64)) (/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im))) (/.f64 (-.f64 x.im (.f64 x.re (/.f64 y.im y.re))) y.re))))
(if (<=.f64 y.re #s(literal -4400000000000000319138320078728634555096847402444696604280124684107776 binary64)) (/.f64 (-.f64 x.im (.f64 x.re (/.f64 y.im y.re))) y.re) (if (<=.f64 y.re #s(literal -390218568789499/780437137578998057845399307448291576437149535666242787714789239906342934704941405030076525765872992789956732780351655723861993919822071326572544 binary64)) (/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im))) (if (<=.f64 y.re #s(literal 5809884737704875/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432 binary64)) (/.f64 (-.f64 (.f64 x.im (/.f64 y.re y.im)) x.re) y.im) (if (<=.f64 y.re #s(literal 1150000000000000078831913830141112840176583575866707171878036024146675344687529279560804728832 binary64)) (/.f64 (fma.f64 x.im y.re (.f64 x.re (neg.f64 y.im))) (fma.f64 y.im y.im (.f64 y.re y.re))) (/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)))))
(if (<=.f64 y.re #s(literal -860000000000000024064646766467920749537526313538279291277182679121920 binary64)) (/.f64 (-.f64 x.im (.f64 x.re (/.f64 y.im y.re))) y.re) (if (<=.f64 y.re #s(literal -6633715669421483/195109284394749514461349826862072894109287383916560696928697309976585733676235351257519131441468248197489183195087913930965498479955517831643136 binary64)) (/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im))) (if (<=.f64 y.re #s(literal 3964391938669209/34175792574734561318320347298712833833643272357706444319152665725155515612490248800367393390985216 binary64)) (/.f64 (-.f64 (.f64 x.im (/.f64 y.re y.im)) x.re) y.im) (if (<=.f64 y.re #s(literal 1600000000000000069403675159390697717264469319923102898866838062937786900623489777506118008832 binary64)) (/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im))) (/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)))))
(if (<=.f64 y.re #s(literal -1362822608054263/22713710134237715329666368996500141698551292521478689383796568724394977753543685103943470334805111423773828800195818060422956300894208 binary64)) (/.f64 (-.f64 x.im (.f64 x.re (/.f64 y.im y.re))) y.re) (if (<=.f64 y.re #s(literal 1152921504606847/72057594037927936 binary64)) (/.f64 (-.f64 (.f64 x.im (/.f64 y.re y.im)) x.re) y.im) (/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)))
(if (<=.f64 y.re #s(literal -8694943802224127/51146728248377216718956089012931236753385031969422887335676427626502090568823039920051095192592252455482604439493126109519019633529459266458258243584 binary64)) (/.f64 (-.f64 x.im (.f64 x.re (/.f64 y.im y.re))) y.re) (if (<=.f64 y.re #s(literal 7194230188746725/4611686018427387904 binary64)) (/.f64 (neg.f64 x.re) y.im) (/.f64 (-.f64 x.im (.f64 x.re (/.f64 y.im y.re))) y.re)))
(if (<=.f64 y.re #s(literal -8950677443466013/51146728248377216718956089012931236753385031969422887335676427626502090568823039920051095192592252455482604439493126109519019633529459266458258243584 binary64)) (/.f64 x.im y.re) (if (<=.f64 y.re #s(literal 5854679515581645/9007199254740992 binary64)) (/.f64 (neg.f64 x.re) y.im) (/.f64 x.im y.re)))
(if (<=.f64 y.im #s(literal -8000000000000000301750282344452402333934349713368063397362692628508437231075123559948952369889196714344603312872699117597244252665879318486048045040151403385030345542328646935377766399936026596880678912 binary64)) (/.f64 x.re y.im) (if (<=.f64 y.im #s(literal 9000000000000000025035375889982830201439925148477643942913903512669093350888584190303663978500818602053477385966049391314416728391185632211629082779767643077723311305300015451551874865375244254707712 binary64)) (/.f64 x.im y.re) (/.f64 x.re y.im)))
(if (<=.f64 y.im #s(literal 1399999999999999907518082974825179495794128610401938898791598167932559405981273751758824283172222289447844970823608062833345787542319892240786833214492807476786944682799980387244020100980983997206356626903847040712704 binary64)) (/.f64 x.im y.re) (/.f64 x.im y.im))
(/.f64 x.im y.im)

Outputs
(if (<=.f64 x.re #s(literal -3515176971816541/6277101735386680763835789423207666416102355444464034512896 binary64)) (/.f64 (.f64 (/.f64 (fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im)) (hypot.f64 y.im y.re)) x.re) (hypot.f64 y.im y.re)) (if (<=.f64 x.re #s(literal 348449143727041/1393796574908163946345982392040522594123776 binary64)) (fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))) (.f64 (/.f64 (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im) (hypot.f64 y.im y.re)) (/.f64 x.re (hypot.f64 y.im y.re)))))
(if (<=.f64 x.re #s(literal -3515176971816541/6277101735386680763835789423207666416102355444464034512896 binary64)) (/.f64 (.f64 x.re (/.f64 (fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im)) (hypot.f64 y.im y.re))) (hypot.f64 y.im y.re)) (if (<=.f64 x.re #s(literal 348449143727041/1393796574908163946345982392040522594123776 binary64)) (fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (.f64 (neg.f64 x.re) (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))) (.f64 (/.f64 (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im) (hypot.f64 y.im y.re)) (/.f64 x.re (hypot.f64 y.im y.re)))))
(if (<=.f64 x.re #s(literal -3515176971816541/6277101735386680763835789423207666416102355444464034512896 binary64)) (/.f64 (.f64 x.re (/.f64 (fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im)) (hypot.f64 y.im y.re))) (hypot.f64 y.im y.re)) (if (<=.f64 x.re #s(literal 348449143727041/1393796574908163946345982392040522594123776 binary64)) (fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (.f64 x.re (/.f64 (neg.f64 y.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))) (.f64 (/.f64 (-.f64 (.f64 x.im (/.f64 y.re x.re)) y.im) (hypot.f64 y.im y.re)) (/.f64 x.re (hypot.f64 y.im y.re)))))
(if (<=.f64 y.re #s(literal -27999999999999999963014798172773937733993709529992061010898970261629723821738259693232519926214324553097960214178813572022272 binary64)) (/.f64 (-.f64 x.im (.f64 x.re (/.f64 y.im y.re))) y.re) (if (<=.f64 y.re #s(literal 47999999999999996239756132352 binary64)) (/.f64 (.f64 (/.f64 (fma.f64 x.im (/.f64 y.re x.re) (neg.f64 y.im)) (hypot.f64 y.im y.re)) x.re) (hypot.f64 y.im y.re)) (fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64)))))))
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(/.f64 x.im y.im)

soundness1.9s (15%)

Memory

-1.6MiB live, 2 710.2MiB allocated

Rules

1 255×	`fma-define`
920×	`log1p-expm1-u`
920×	`expm1-log1p-u`
795×	`fmm-def`
762×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	297
1	385	257
2	4624	257
0	739	33774
1	1805	31639
2	7090	31615
0	70	1024
1	237	992
2	469	992
3	1150	992
4	3393	992
5	5806	992
6	6609	992
7	6718	992
8	6738	992
9	6754	992
10	7700	992
0	1861	59595
1	5080	56306
0	40	697
1	715	664
0	1149	41751
1	3014	37286
0	36	443
1	648	425

Stop Event

1×	fuel
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 1 422 to 381 computations (73.2% saved)

preprocess79.0ms (0.6%)

Memory: -10.2MiB live, 145.0MiB allocated
Compiler: Compiled 1 002 to 294 computations (70.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze26.0ms (0.2%)

sample1.7s (13.2%)

preprocess271.0ms (2.1%)

explain127.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify101.0ms (0.8%)

localize54.0ms (0.4%)

series35.0ms (0.3%)

rewrite320.0ms (2.5%)

simplify460.0ms (3.5%)

eval67.0ms (0.5%)

prune168.0ms (1.3%)

simplify94.0ms (0.7%)

localize168.0ms (1.3%)

series189.0ms (1.4%)

rewrite361.0ms (2.8%)

simplify805.0ms (6.2%)

eval400.0ms (3.1%)

prune645.0ms (4.9%)

simplify98.0ms (0.7%)

localize125.0ms (1%)

series78.0ms (0.6%)

rewrite254.0ms (2%)

simplify395.0ms (3%)

eval215.0ms (1.6%)

prune455.0ms (3.5%)

simplify98.0ms (0.8%)

localize163.0ms (1.2%)

series55.0ms (0.4%)

rewrite158.0ms (1.2%)

simplify500.0ms (3.8%)

eval937.0ms (7.2%)

prune383.0ms (2.9%)

regimes151.0ms (1.2%)

regimes88.0ms (0.7%)

regimes22.0ms (0.2%)

regimes15.0ms (0.1%)

regimes88.0ms (0.7%)

regimes14.0ms (0.1%)

regimes20.0ms (0.2%)

regimes21.0ms (0.2%)

regimes17.0ms (0.1%)

regimes12.0ms (0.1%)

regimes2.0ms (0%)

regimes7.0ms (0.1%)

bsearch129.0ms (1%)

bsearch29.0ms (0.2%)

bsearch38.0ms (0.3%)

bsearch100.0ms (0.8%)

bsearch54.0ms (0.4%)

bsearch53.0ms (0.4%)

bsearch32.0ms (0.2%)

bsearch28.0ms (0.2%)

bsearch23.0ms (0.2%)

bsearch30.0ms (0.2%)

bsearch75.0ms (0.6%)

simplify36.0ms (0.3%)

soundness1.9s (15%)

preprocess79.0ms (0.6%)

end0.0ms (0%)

Profiling