Metrics for _divideComplex, imaginary part

analyze25.0ms (0.2%)

Memory

7.5MiB live, 46.7MiB 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%)

Memory

9.6MiB live, 1 548.5MiB allocated

Samples

1.4s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 927.0ms

ival-mult: 679.0ms (73.3% of total)

ival-div: 164.0ms (17.7% of total)

ival-sub: 39.0ms (4.2% of total)

ival-add: 36.0ms (3.9% of total)

ival-true: 6.0ms (0.6% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

preprocess269.0ms (2.1%)

Memory

-7.8MiB live, 150.2MiB 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)))

explain167.0ms (1.3%)

Memory

5.9MiB live, 371.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
99	1	(-1.2193522106525615e-279 7.481957347100386e-71 -4.151744859674867e+251 -1.6826821481359203e+252)	-	`(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))`
5	0	-	-	`(-.f64 (.f64 x.im y.re) (.f64 x.re y.im))`
0	0	-	-	`(+.f64 (.f64 y.re y.re) (.f64 y.im y.im))`
0	0	-	-	`(*.f64 y.re y.re)`
0	0	-	-	`(*.f64 x.re y.im)`
0	0	-	-	`(*.f64 x.im y.re)`
0	0	-	-	`(*.f64 y.im y.im)`
0	0	-	-	`x.re`
0	0	-	-	`y.re`
0	0	-	-	`y.im`
0	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	51	0
↳	`(*.f64 x.re y.im)`	overflow	34
↳	`(*.f64 x.im y.re)`	overflow	36
↳	`(-.f64 (.f64 x.im y.re) (.f64 x.re y.im))`	overflow	62
↳	`(*.f64 y.re y.re)`	overflow	65
↳	`(*.f64 y.im y.im)`	overflow	64
↳	`(+.f64 (.f64 y.re y.re) (.f64 y.im y.im))`	overflow	109
`/.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	29	0
↳	`(*.f64 y.re y.re)`	overflow	65
↳	`(*.f64 y.im y.im)`	overflow	64
↳	`(+.f64 (.f64 y.re y.re) (.f64 y.im y.im))`	overflow	109
`/.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	11	0
↳	`(*.f64 x.re y.im)`	overflow	34
↳	`(*.f64 x.im y.re)`	overflow	36
↳	`(-.f64 (.f64 x.im y.re) (.f64 x.re y.im))`	overflow	62
`/.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	7	0
↳	`(*.f64 y.re y.re)`	underflow	48
↳	`(*.f64 y.im y.im)`	underflow	64
↳	`(+.f64 (.f64 y.re y.re) (.f64 y.im y.im))`	underflow	14
`-.f64`	`(-.f64 (.f64 x.im y.re) (.f64 x.re y.im))`	nan-rescue	5	0
↳	`(*.f64 x.im y.re)`	overflow	36
↳	`(*.f64 x.re y.im)`	overflow	34
`/.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/n	1	0
↳	`(*.f64 x.re y.im)`	underflow	32
↳	`(*.f64 x.im y.re)`	underflow	23
↳	`(-.f64 (.f64 x.im y.re) (.f64 x.re y.im))`	underflow	2
`/.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	32
↳	`(*.f64 x.im y.re)`	underflow	23
↳	`(-.f64 (.f64 x.im y.re) (.f64 x.re y.im))`	underflow	2
↳	`(*.f64 y.re y.re)`	underflow	48
↳	`(*.f64 y.im y.im)`	underflow	64
↳	`(+.f64 (.f64 y.re y.re) (.f64 y.im y.im))`	underflow	14

Confusion

	Predicted +	Predicted -
+	99	0
-	1	156

Precision

0.99

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	99	0	0
-	1	0	156

Precision?

0.99

Recall?

1.0

Freqs

test

number	freq
0	156
1	95
2	5

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

81.0ms

512×

valid

Compiler

Compiled 132 to 48 computations (63.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-sub: 38.0ms (63.3% of total)

ival-mult: 16.0ms (26.6% of total)

ival-div: 3.0ms (5% of total)

ival-add: 2.0ms (3.3% of total)

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

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

eval0.0ms (0%)

Memory: 1.0MiB live, 1.0MiB allocated
Compiler: Compiled 32 to 16 computations (50% saved)

prune1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	62.7%	(/.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 19 to 11 computations (42.1% saved)

simplify94.0ms (0.7%)

Memory

-18.5MiB live, 20.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	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

679×	`fma-define`
515×	`fmm-def`
318×	`times-frac`
120×	`div-sub`
109×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	189
1	33	189
2	59	189
3	96	189
4	168	189
5	295	189
6	536	189
7	887	189
8	1618	189
9	2678	189
10	3170	189
11	3222	189
12	3282	189
13	3282	189

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)

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

localize33.0ms (0.3%)

Memory

13.3MiB live, 50.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x.im y.re)
✓	accuracy	100.0%	(+.f64 (.f64 y.re y.re) (.f64 y.im y.im))
✓	accuracy	98.2%	(-.f64 (.f64 x.im y.re) (.f64 x.re y.im))
✓	accuracy	63.1%	(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))

Samples

24.0ms

256×

valid

Compiler

Compiled 47 to 13 computations (72.3% saved)

Precisions

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

ival-mult: 7.0ms (64.8% of total)

ival-div: 2.0ms (18.5% of total)

ival-sub: 1.0ms (9.3% of total)

ival-add: 1.0ms (9.3% of total)

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

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

series29.0ms (0.2%)

Memory

-0.6MiB live, 39.7MiB allocated

Counts

7 → 138

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 (-.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))>

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

Calls

48 calls:

Time	Variable		Point	Expression
8.0ms	x.re	@	-inf	(/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im)))
2.0ms	y.im	@	inf	(/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im)))
1.0ms	x.im	@	0	(/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im)))
1.0ms	x.re	@	0	(/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im)))
1.0ms	y.re	@	0	(* y.re y.re)

rewrite326.0ms (2.5%)

Memory

20.1MiB live, 285.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

942×	`log1p-expm1-u`
942×	`expm1-log1p-u`
621×	`fma-define`
307×	`fmm-def`
120×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	161
1	268	151
2	3887	151

Stop Event

1×	node limit

Counts

7 → 323

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 (-.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))

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

simplify297.0ms (2.3%)

Memory

-42.1MiB live, 378.6MiB allocated

Algorithm

1×	egg-herbie

Rules

766×	`fmm-def`
281×	`associate-r`
268×	`fma-define`
263×	`associate-l`
256×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	765	24434
1	1913	20630
2	6335	20610

Stop Event

1×	node limit

Counts

461 → 513

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

eval63.0ms (0.5%)

Memory: 24.4MiB live, 138.6MiB allocated
Compiler: Compiled 12 081 to 1 616 computations (86.6% saved)

prune186.0ms (1.4%)

Memory

-4.8MiB live, 188.4MiB allocated

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	499	14	513
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	499	15	514

Accuracy

99.8%

Counts

514 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.1%	(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))
	36.8%	(pow.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im))) (hypot.f64 y.re y.im)) #s(literal 2 binary64))
▶	54.5%	(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
✓	62.7%	(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
	53.9%	(/.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) y.re)
▶	51.0%	(/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (.f64 x.im y.re) y.im)) y.im)
	54.5%	(/.f64 (+.f64 x.im (neg.f64 (*.f64 x.re (/.f64 y.im y.re)))) y.re)
	43.0%	(/.f64 (.f64 y.re x.im) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
	36.3%	(/.f64 (.f64 y.im (neg.f64 x.re)) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
	42.7%	(/.f64 (neg.f64 x.re) y.im)
▶	46.6%	(/.f64 x.im y.re)
▶	80.2%	(-.f64 (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (.f64 x.im (/.f64 y.re (hypot.f64 y.re y.im)))) (/.f64 (*.f64 y.im x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
	62.3%	(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (-.f64 (.f64 x.im y.re) (*.f64 x.re y.im)))
	75.1%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (-.f64 (.f64 x.im y.re) (*.f64 x.re y.im)) (hypot.f64 y.re y.im)))
	46.4%	(*.f64 x.im (/.f64 y.re (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64)))))

Compiler

Compiled 451 to 285 computations (36.8% saved)

simplify554.0ms (4.3%)

Memory

30.7MiB live, 105.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(pow.f64 y.re #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))
✓	cost-diff	0	(*.f64 x.re (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))))
✓	cost-diff	12864	(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))
✓	cost-diff	0	(/.f64 (*.f64 x.im y.re) y.im)
✓	cost-diff	64	(*.f64 #s(literal -1 binary64) x.re)
✓	cost-diff	128	(+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (.f64 x.im y.re) y.im))
✓	cost-diff	128	(/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (.f64 x.im y.re) y.im)) y.im)
✓	cost-diff	0	(/.f64 x.im y.im)
✓	cost-diff	0	(*.f64 y.re (/.f64 x.im y.im))
✓	cost-diff	0	(-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re)
✓	cost-diff	0	(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
✓	cost-diff	0	(/.f64 x.im y.re)
✓	cost-diff	0	(hypot.f64 y.re y.im)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
✓	cost-diff	256	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (.f64 x.im (/.f64 y.re (hypot.f64 y.re y.im))))
✓	cost-diff	13312	(-.f64 (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (.f64 x.im (/.f64 y.re (hypot.f64 y.re y.im)))) (/.f64 (*.f64 y.im x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))

Rules

1 468×	`fma-define`
852×	`fmm-def`
356×	`unsub-neg`
351×	`distribute-lft-neg-in`
315×	`times-frac`

Iterations

Useful iterations: 16 (0.0ms)

Iter	Nodes	Cost
0	38	734
1	85	722
2	168	696
3	383	696
4	800	696
5	1569	696
6	2738	678
7	4367	678
8	5473	678
9	6156	678
10	6206	678
11	6216	678
12	6216	678
13	7148	678
14	7332	678
15	7332	678
16	7332	666
17	7376	666
18	7418	666
19	7428	666
20	7428	666
21	7428	666

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (.f64 x.im (/.f64 y.re (hypot.f64 y.re y.im)))) (/.f64 (*.f64 y.im x.re) (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 x.im (/.f64 y.re (hypot.f64 y.re y.im))))
(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
#s(literal 1 binary64)
(hypot.f64 y.re y.im)
y.re
y.im
(*.f64 x.im (/.f64 y.re (hypot.f64 y.re y.im)))
x.im
(/.f64 y.re (hypot.f64 y.re y.im))
(/.f64 (*.f64 y.im x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(*.f64 y.im x.re)
x.re
(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 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
(-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re)
(*.f64 y.re (/.f64 x.im y.im))
y.re
(/.f64 x.im y.im)
x.im
y.im
x.re
(/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (.f64 x.im y.re) y.im)) y.im)
(+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (.f64 x.im y.re) y.im))
(*.f64 #s(literal -1 binary64) x.re)
#s(literal -1 binary64)
x.re
(/.f64 (*.f64 x.im y.re) y.im)
(*.f64 x.im y.re)
x.im
y.re
y.im
(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))
#s(literal -1 binary64)
(*.f64 x.re (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))))
x.re
(/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))
y.im
(pow.f64 y.re #s(literal 2 binary64))
y.re
#s(literal 2 binary64)
(/.f64 x.im y.re)
x.im

Outputs
(-.f64 (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (.f64 x.im (/.f64 y.re (hypot.f64 y.re y.im)))) (/.f64 (*.f64 y.im x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(-.f64 (/.f64 (.f64 y.re (/.f64 x.im (hypot.f64 y.re y.im))) (hypot.f64 y.re y.im)) (/.f64 (.f64 y.im x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(fma.f64 y.im (/.f64 (neg.f64 x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (/.f64 (*.f64 y.re x.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 (.f64 y.im x.re) (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))) (-.f64 (.f64 y.im x.re) (*.f64 y.re x.im)))
(.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (fma.f64 y.im x.re (.f64 y.re (neg.f64 x.im))))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (-.f64 (.f64 y.re x.im) (*.f64 y.im x.re)))
(/.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 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (.f64 x.im (/.f64 y.re (hypot.f64 y.re y.im))))
(/.f64 (*.f64 y.re (/.f64 x.im (hypot.f64 y.re y.im))) (hypot.f64 y.re y.im))
(/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(*.f64 x.im (/.f64 y.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
#s(literal 1 binary64)
(hypot.f64 y.re y.im)
y.re
y.im
(*.f64 x.im (/.f64 y.re (hypot.f64 y.re y.im)))
(*.f64 y.re (/.f64 x.im (hypot.f64 y.re y.im)))
x.im
(/.f64 y.re (hypot.f64 y.re y.im))
(/.f64 (*.f64 y.im x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(*.f64 y.im x.re)
x.re
(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 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
(-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re)
(*.f64 y.re (/.f64 x.im y.im))
y.re
(/.f64 x.im y.im)
x.im
y.im
x.re
(/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (.f64 x.im y.re) y.im)) y.im)
(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
(+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (.f64 x.im y.re) y.im))
(-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re)
(*.f64 #s(literal -1 binary64) x.re)
(neg.f64 x.re)
#s(literal -1 binary64)
x.re
(/.f64 (*.f64 x.im y.re) y.im)
(*.f64 y.re (/.f64 x.im y.im))
(*.f64 x.im y.re)
(*.f64 y.re x.im)
x.im
y.re
y.im
(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 (*.f64 y.im x.re) (pow.f64 y.re #s(literal 2 binary64))))
(-.f64 (/.f64 x.im y.re) (*.f64 y.im (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))))
(/.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) y.re)
#s(literal -1 binary64)
(*.f64 x.re (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))))
(/.f64 (*.f64 y.im x.re) (pow.f64 y.re #s(literal 2 binary64)))
(*.f64 y.im (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))
x.re
(/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))
y.im
(pow.f64 y.re #s(literal 2 binary64))
y.re
#s(literal 2 binary64)
(/.f64 x.im y.re)
x.im

localize395.0ms (3.1%)

Memory

-25.0MiB live, 255.4MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(pow.f64 y.re #s(literal 2 binary64))
✓	accuracy	98.7%	(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))
✓	accuracy	91.9%	(*.f64 x.re (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))))
✓	accuracy	86.2%	(/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))
✓	accuracy	100.0%	(*.f64 #s(literal -1 binary64) x.re)
✓	accuracy	100.0%	(+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (.f64 x.im y.re) y.im))
✓	accuracy	99.9%	(/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (.f64 x.im y.re) y.im)) y.im)
✓	accuracy	90.0%	(/.f64 (*.f64 x.im y.re) y.im)
✓	accuracy	100.0%	(/.f64 x.im y.im)
✓	accuracy	100.0%	(-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re)
✓	accuracy	99.9%	(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
✓	accuracy	92.8%	(*.f64 y.re (/.f64 x.im y.im))
✓	accuracy	100.0%	(/.f64 x.im y.re)
✓	accuracy	100.0%	(-.f64 (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (.f64 x.im (/.f64 y.re (hypot.f64 y.re y.im)))) (/.f64 (*.f64 y.im x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
✓	accuracy	98.5%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (.f64 x.im (/.f64 y.re (hypot.f64 y.re y.im))))
✓	accuracy	97.1%	(*.f64 x.im (/.f64 y.re (hypot.f64 y.re y.im)))
✓	accuracy	75.9%	(/.f64 (*.f64 y.im x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))

Samples

74.0ms

256×

valid

Compiler

Compiled 186 to 33 computations (82.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-div: 17.0ms (31.5% of total)

ival-mult: 14.0ms (25.9% of total)

ival-hypot: 14.0ms (25.9% of total)

ival-pow2: 4.0ms (7.4% of total)

ival-add: 2.0ms (3.7% of total)

ival-sub: 2.0ms (3.7% 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)

series95.0ms (0.7%)

Memory

22.9MiB live, 182.1MiB allocated

Counts

19 → 498

Calls

Call 1

Inputs
#<alt (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (.f64 x.im (/.f64 y.re (hypot.f64 y.re y.im)))) (/.f64 (*.f64 y.im x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))>
#<alt (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (.f64 x.im (/.f64 y.re (hypot.f64 y.re y.im))))>
#<alt (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))>
#<alt (hypot.f64 y.re y.im)>
#<alt (/.f64 x.im y.re)>
#<alt (/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)>
#<alt (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re)>
#<alt (*.f64 y.re (/.f64 x.im y.im))>
#<alt (/.f64 x.im 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 #s(literal -1 binary64) x.re) (/.f64 (.f64 x.im y.re) y.im))>
#<alt (*.f64 #s(literal -1 binary64) x.re)>
#<alt (/.f64 (*.f64 x.im y.re) y.im)>
#<alt (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))>
#<alt (*.f64 x.re (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (pow.f64 y.re #s(literal 2 binary64))>
#<alt (/.f64 (*.f64 y.im x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))>
#<alt (*.f64 x.im (/.f64 y.re (hypot.f64 y.re y.im)))>

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

Calls

162 calls:

Time	Variable		Point	Expression
9.0ms	y.re	@	inf	(- (* y.re (/ x.im y.im)) x.re)
6.0ms	y.im	@	-inf	(/ y.im (pow y.re 2))
3.0ms	x.im	@	0	(* x.im (/ y.re (sqrt (+ (* y.re y.re) (* y.im y.im)))))
3.0ms	y.im	@	0	(/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im))))
3.0ms	x.im	@	inf	(* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* x.im (/ y.re (sqrt (+ (* y.re y.re) (* y.im y.im))))))

rewrite286.0ms (2.2%)

Memory

0.1MiB live, 195.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

271×	`log1p-expm1-u`
271×	`expm1-log1p-u`
266×	`add-cube-cbrt`
264×	`add-exp-log`
264×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	565
1	665	519

Stop Event

1×	node limit

Counts

19 → 595

Calls

Call 1

Inputs
(-.f64 (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (.f64 x.im (/.f64 y.re (hypot.f64 y.re y.im)))) (/.f64 (*.f64 y.im x.re) (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 x.im (/.f64 y.re (hypot.f64 y.re y.im))))
(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
(hypot.f64 y.re y.im)
(/.f64 x.im y.re)
(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
(-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re)
(*.f64 y.re (/.f64 x.im y.im))
(/.f64 x.im y.im)
(/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (.f64 x.im y.re) y.im)) y.im)
(+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (.f64 x.im y.re) y.im))
(*.f64 #s(literal -1 binary64) x.re)
(/.f64 (*.f64 x.im y.re) y.im)
(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 x.re (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))))
(/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))
(pow.f64 y.re #s(literal 2 binary64))
(/.f64 (*.f64 y.im x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(*.f64 x.im (/.f64 y.re (hypot.f64 y.re y.im)))

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

simplify978.0ms (7.6%)

Memory

-22.3MiB live, 816.9MiB allocated

Algorithm

1×	egg-herbie

Rules

403×	`*-commutative`
359×	`distribute-lft-in`
225×	`distribute-rgt-neg-in`
224×	`+-commutative`
222×	`neg-sub0`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1683	53963
1	4556	52384

Stop Event

1×	node limit

Counts

1 093 → 1 069

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

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

eval225.0ms (1.7%)

Memory: 15.2MiB live, 318.1MiB allocated
Compiler: Compiled 33 302 to 4 486 computations (86.5% saved)

prune382.0ms (3%)

Memory

-0.2MiB live, 440.5MiB allocated

Pruning

18 alts after pruning (15 fresh and 3 done)

	Pruned	Kept	Total
New	1 242	9	1 251
Fresh	3	6	9
Picked	3	2	5
Done	0	1	1
Total	1 248	18	1 266

Accuracy

100.0%

Counts

1 266 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	36.8%	(pow.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im))) (hypot.f64 y.re y.im)) #s(literal 2 binary64))
	45.9%	(pow.f64 (cbrt.f64 (/.f64 x.im y.re)) #s(literal 3 binary64))
	23.9%	(/.f64 (/.f64 (*.f64 x.im y.re) y.im) y.im)
✓	54.5%	(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
✓	62.7%	(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
▶	53.9%	(/.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) y.re)
	54.5%	(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
	43.0%	(/.f64 (.f64 y.re x.im) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
▶	36.3%	(/.f64 (.f64 y.im (neg.f64 x.re)) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
▶	25.1%	(/.f64 (*.f64 x.im (/.f64 y.re y.im)) y.im)
▶	42.7%	(/.f64 (neg.f64 x.re) y.im)
✓	46.6%	(/.f64 x.im y.re)
	46.3%	(/.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
	52.1%	(-.f64 (/.f64 x.im y.re) (*.f64 x.re (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
▶	99.0%	(-.f64 (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (.f64 x.im (/.f64 y.re (hypot.f64 y.re y.im)))) (/.f64 (*.f64 y.im (/.f64 x.re (hypot.f64 y.im y.re))) (hypot.f64 y.im y.re)))
	54.3%	(.f64 (-.f64 x.re (.f64 y.re (/.f64 x.im y.im))) (/.f64 #s(literal 1 binary64) (neg.f64 y.im)))
	46.4%	(*.f64 x.im (/.f64 y.re (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64)))))
	46.5%	(*.f64 x.im (/.f64 #s(literal 1 binary64) y.re))

Compiler

Compiled 453 to 292 computations (35.5% saved)

simplify553.0ms (4.3%)

Memory

17.7MiB live, 129.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(*.f64 y.im y.im)
	cost-diff	0	(*.f64 y.re y.re)
✓	cost-diff	0	(neg.f64 x.re)
✓	cost-diff	0	(*.f64 y.im (neg.f64 x.re))
✓	cost-diff	0	(/.f64 x.re y.re)
✓	cost-diff	0	(*.f64 y.im (/.f64 x.re y.re))
✓	cost-diff	0	(-.f64 x.im (*.f64 y.im (/.f64 x.re y.re)))
✓	cost-diff	0	(/.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) y.re)
✓	cost-diff	0	(/.f64 y.re y.im)
✓	cost-diff	0	(*.f64 x.im (/.f64 y.re y.im))
✓	cost-diff	0	(/.f64 (*.f64 x.im (/.f64 y.re y.im)) y.im)
✓	cost-diff	0	(neg.f64 x.re)
✓	cost-diff	0	(/.f64 (neg.f64 x.re) y.im)
	cost-diff	0	(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
✓	cost-diff	6400	(/.f64 (*.f64 y.im (/.f64 x.re (hypot.f64 y.im y.re))) (hypot.f64 y.im y.re))
	cost-diff	6528	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (.f64 x.im (/.f64 y.re (hypot.f64 y.re y.im))))
✓	cost-diff	19712	(-.f64 (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (.f64 x.im (/.f64 y.re (hypot.f64 y.re y.im)))) (/.f64 (*.f64 y.im (/.f64 x.re (hypot.f64 y.im y.re))) (hypot.f64 y.im y.re)))

Rules

1 241×	`fma-define`
867×	`fmm-def`
318×	`unsub-neg`
284×	`div-sub`
271×	`distribute-lft-neg-in`

Iterations

Useful iterations: 18 (0.0ms)

Iter	Nodes	Cost
0	37	753
1	90	741
2	189	725
3	378	725
4	760	725
5	1646	721
6	3161	699
7	4261	699
8	5521	699
9	6460	699
10	6541	699
11	6549	699
12	6958	699
13	6958	699
14	7152	699
15	7236	699
16	7236	699
17	7236	699
18	7236	693
19	7272	693
20	7294	693
21	7294	693
22	7294	693

Stop Event

1×

saturated

Calls

Call 1

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

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

localize119.0ms (0.9%)

Memory

17.6MiB live, 265.4MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(*.f64 y.im y.im)
✓	accuracy	100.0%	(neg.f64 x.re)
	accuracy	100.0%	(+.f64 (.f64 y.re y.re) (.f64 y.im y.im))
✓	accuracy	75.9%	(/.f64 (.f64 y.im (neg.f64 x.re)) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
✓	accuracy	100.0%	(/.f64 x.re y.re)
✓	accuracy	100.0%	(-.f64 x.im (*.f64 y.im (/.f64 x.re y.re)))
✓	accuracy	98.8%	(/.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) y.re)
✓	accuracy	89.0%	(*.f64 y.im (/.f64 x.re y.re))
✓	accuracy	100.0%	(/.f64 y.re y.im)
✓	accuracy	98.6%	(/.f64 (*.f64 x.im (/.f64 y.re y.im)) y.im)
✓	accuracy	94.0%	(*.f64 x.im (/.f64 y.re y.im))
✓	accuracy	100.0%	(/.f64 (neg.f64 x.re) y.im)
✓	accuracy	100.0%	(neg.f64 x.re)
	accuracy	98.5%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (.f64 x.im (/.f64 y.re (hypot.f64 y.re y.im))))
✓	accuracy	98.5%	(/.f64 (*.f64 y.im (/.f64 x.re (hypot.f64 y.im y.re))) (hypot.f64 y.im y.re))
	accuracy	97.1%	(*.f64 x.im (/.f64 y.re (hypot.f64 y.re y.im)))
✓	accuracy	83.8%	(*.f64 y.im (/.f64 x.re (hypot.f64 y.im y.re)))

Samples

77.0ms

256×

valid

Compiler

Compiled 179 to 31 computations (82.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-mult: 17.0ms (29.4% of total)

ival-div: 16.0ms (27.7% of total)

ival-add: 12.0ms (20.8% of total)

ival-hypot: 10.0ms (17.3% of total)

ival-sub: 2.0ms (3.5% of total)

ival-neg: 1.0ms (1.7% 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)

series53.0ms (0.4%)

Memory

-19.2MiB live, 137.4MiB allocated

Counts

14 → 420

Calls

Call 1

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

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

Calls

117 calls:

Time	Variable		Point	Expression
2.0ms	y.re	@	inf	(/ x.re y.re)
2.0ms	y.re	@	inf	(* y.im (/ x.re (sqrt (+ (* y.im y.im) (* y.re y.re)))))
2.0ms	y.re	@	inf	(- (* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* x.im (/ y.re (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (/ (* y.im (/ x.re (sqrt (+ (* y.im y.im) (* y.re y.re))))) (sqrt (+ (* y.im y.im) (* y.re y.re)))))
2.0ms	y.re	@	inf	(/ y.re y.im)
1.0ms	x.re	@	0	(* y.im (/ x.re (sqrt (+ (* y.im y.im) (* y.re y.re)))))

rewrite414.0ms (3.2%)

Memory

-7.0MiB live, 268.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

298×	`log1p-expm1-u`
298×	`expm1-log1p-u`
292×	`add-exp-log`
292×	`add-log-exp`
292×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	443
1	686	398

Stop Event

1×	node limit

Counts

14 → 387

Calls

Call 1

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

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

simplify739.0ms (5.7%)

Memory

13.8MiB live, 492.1MiB allocated

Algorithm

1×	egg-herbie

Rules

670×	`fma-define`
543×	`times-frac`
287×	`*-commutative`
253×	`cancel-sign-sub-inv`
221×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1293	38176
1	3553	35318

Stop Event

1×	node limit

Counts

807 → 799

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

eval334.0ms (2.6%)

Memory: 14.8MiB live, 243.3MiB allocated
Compiler: Compiled 28 769 to 4 021 computations (86% saved)

prune238.0ms (1.8%)

Memory

24.4MiB live, 577.2MiB allocated

Pruning

27 alts after pruning (21 fresh and 6 done)

	Pruned	Kept	Total
New	1 122	15	1 137
Fresh	4	6	10
Picked	1	4	5
Done	1	2	3
Total	1 128	27	1 155

Accuracy

100.0%

Counts

1 155 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	36.8%	(pow.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im))) (hypot.f64 y.re y.im)) #s(literal 2 binary64))
▶	45.9%	(pow.f64 (cbrt.f64 (/.f64 x.im y.re)) #s(literal 3 binary64))
▶	23.9%	(/.f64 (/.f64 (*.f64 x.im y.re) y.im) y.im)
✓	54.5%	(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
▶	99.2%	(/.f64 (-.f64 (.f64 x.im (/.f64 y.re (hypot.f64 y.re y.im))) (.f64 y.im (/.f64 x.re (hypot.f64 y.re y.im)))) (hypot.f64 y.re y.im))
✓	53.9%	(/.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) y.re)
	54.3%	(/.f64 (-.f64 x.im (*.f64 y.im (/.f64 #s(literal 1 binary64) (/.f64 y.re x.re)))) y.re)
	53.9%	(/.f64 (-.f64 x.im (.f64 y.im (.f64 x.re (/.f64 #s(literal 1 binary64) y.re)))) y.re)
	43.0%	(/.f64 (.f64 y.re x.im) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
	18.3%	(/.f64 (*.f64 y.im (/.f64 x.re (neg.f64 y.re))) y.re)
✓	36.3%	(/.f64 (.f64 y.im (neg.f64 x.re)) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
	18.5%	(/.f64 (*.f64 x.re (/.f64 y.im (neg.f64 y.re))) y.re)
	41.1%	(/.f64 (*.f64 x.re (+.f64 (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64)) #s(literal -1 binary64))) y.im)
✓	25.1%	(/.f64 (*.f64 x.im (/.f64 y.re y.im)) y.im)
	11.3%	(/.f64 (*.f64 #s(literal 1 binary64) x.re) y.im)
✓	42.7%	(/.f64 (neg.f64 x.re) y.im)
✓	46.6%	(/.f64 x.im y.re)
	25.3%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y.im x.im) (/.f64 y.re y.im)))
	46.3%	(/.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
	11.5%	(/.f64 #s(literal 1 binary64) (/.f64 y.im x.re))
	53.1%	(.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x.im (.f64 y.im (/.f64 x.re y.re)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re)))) y.re))
	25.0%	(*.f64 (/.f64 (/.f64 y.re y.im) #s(literal 1 binary64)) (/.f64 x.im y.im))
▶	53.8%	(.f64 (-.f64 x.im (.f64 y.im (/.f64 x.re y.re))) (/.f64 #s(literal 1 binary64) y.re))
	24.4%	(*.f64 x.im (/.f64 (/.f64 y.re y.im) y.im))
	46.4%	(*.f64 x.im (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
▶	46.5%	(*.f64 x.im (/.f64 #s(literal 1 binary64) y.re))
	59.6%	(cbrt.f64 (pow.f64 (/.f64 (-.f64 (.f64 x.im (/.f64 y.re (hypot.f64 y.re y.im))) (.f64 y.im (/.f64 x.re (hypot.f64 y.re y.im)))) (hypot.f64 y.re y.im)) #s(literal 3 binary64)))

Compiler

Compiled 668 to 432 computations (35.3% saved)

simplify564.0ms (4.4%)

Memory

1.2MiB live, 119.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
	cost-diff	-128	(/.f64 x.im y.re)
✓	cost-diff	0	(cbrt.f64 (/.f64 x.im y.re))
✓	cost-diff	12864	(pow.f64 (cbrt.f64 (/.f64 x.im y.re)) #s(literal 3 binary64))
✓	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	(*.f64 x.im y.re)
	cost-diff	0	(/.f64 (*.f64 x.im y.re) y.im)
✓	cost-diff	0	(/.f64 (/.f64 (*.f64 x.im y.re) y.im) y.im)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y.re)
✓	cost-diff	128	(*.f64 x.im (/.f64 #s(literal 1 binary64) y.re))
✓	cost-diff	0	(/.f64 y.re (hypot.f64 y.re y.im))
	cost-diff	0	(*.f64 x.im (/.f64 y.re (hypot.f64 y.re y.im)))
✓	cost-diff	6592	(-.f64 (.f64 x.im (/.f64 y.re (hypot.f64 y.re y.im))) (.f64 y.im (/.f64 x.re (hypot.f64 y.re y.im))))
✓	cost-diff	12992	(/.f64 (-.f64 (.f64 x.im (/.f64 y.re (hypot.f64 y.re y.im))) (.f64 y.im (/.f64 x.re (hypot.f64 y.re y.im)))) (hypot.f64 y.re y.im))

Rules

1 206×	`fma-define`
972×	`fmm-def`
504×	`times-frac`
345×	`div-sub`
298×	`distribute-lft-in`

Iterations

Useful iterations: 18 (0.0ms)

Iter	Nodes	Cost
0	33	606
1	76	582
2	148	582
3	343	582
4	843	582
5	2048	582
6	3663	554
7	4682	554
8	5942	554
9	6842	554
10	6935	554
11	6941	554
12	7275	554
13	7287	554
14	7499	554
15	7591	554
16	7591	554
17	7591	554
18	7591	542
19	7623	542
20	7641	542
21	7641	542
22	7641	542

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 x.im (/.f64 y.re (hypot.f64 y.re y.im))) (.f64 y.im (/.f64 x.re (hypot.f64 y.re y.im)))) (hypot.f64 y.re y.im))
(-.f64 (.f64 x.im (/.f64 y.re (hypot.f64 y.re y.im))) (.f64 y.im (/.f64 x.re (hypot.f64 y.re y.im))))
(*.f64 x.im (/.f64 y.re (hypot.f64 y.re y.im)))
x.im
(/.f64 y.re (hypot.f64 y.re y.im))
y.re
(hypot.f64 y.re y.im)
y.im
(*.f64 y.im (/.f64 x.re (hypot.f64 y.re y.im)))
(/.f64 x.re (hypot.f64 y.re y.im))
x.re
(*.f64 x.im (/.f64 #s(literal 1 binary64) y.re))
x.im
(/.f64 #s(literal 1 binary64) y.re)
#s(literal 1 binary64)
y.re
(/.f64 (/.f64 (*.f64 x.im y.re) y.im) y.im)
(/.f64 (*.f64 x.im y.re) y.im)
(*.f64 x.im y.re)
x.im
y.re
y.im
(.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)
(pow.f64 (cbrt.f64 (/.f64 x.im y.re)) #s(literal 3 binary64))
(cbrt.f64 (/.f64 x.im y.re))
(/.f64 x.im y.re)
x.im
y.re
#s(literal 3 binary64)

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

localize114.0ms (0.9%)

Memory

-53.1MiB live, 250.6MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(/.f64 x.im y.re)
✓	accuracy	99.0%	(pow.f64 (cbrt.f64 (/.f64 x.im y.re)) #s(literal 3 binary64))
✓	accuracy	82.6%	(cbrt.f64 (/.f64 x.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	98.6%	(.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 x.im y.re)
✓	accuracy	98.6%	(/.f64 (/.f64 (*.f64 x.im y.re) y.im) y.im)
	accuracy	90.0%	(/.f64 (*.f64 x.im y.re) y.im)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y.re)
✓	accuracy	99.7%	(*.f64 x.im (/.f64 #s(literal 1 binary64) y.re))
✓	accuracy	100.0%	(-.f64 (.f64 x.im (/.f64 y.re (hypot.f64 y.re y.im))) (.f64 y.im (/.f64 x.re (hypot.f64 y.re y.im))))
✓	accuracy	99.9%	(/.f64 (-.f64 (.f64 x.im (/.f64 y.re (hypot.f64 y.re y.im))) (.f64 y.im (/.f64 x.re (hypot.f64 y.re y.im)))) (hypot.f64 y.re y.im))
	accuracy	97.1%	(*.f64 x.im (/.f64 y.re (hypot.f64 y.re y.im)))
✓	accuracy	83.8%	(*.f64 y.im (/.f64 x.re (hypot.f64 y.re y.im)))

Samples

74.0ms

256×

valid

Compiler

Compiled 146 to 27 computations (81.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-mult: 28.0ms (50.5% of total)

ival-div: 14.0ms (25.2% of total)

ival-hypot: 5.0ms (9% of total)

ival-pow: 4.0ms (7.2% of total)

ival-cbrt: 2.0ms (3.6% of total)

ival-sub: 2.0ms (3.6% 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)

series43.0ms (0.3%)

Memory

19.7MiB live, 96.6MiB allocated

Counts

10 → 296

Calls

Call 1

Inputs
#<alt (/.f64 (-.f64 (.f64 x.im (/.f64 y.re (hypot.f64 y.re y.im))) (.f64 y.im (/.f64 x.re (hypot.f64 y.re y.im)))) (hypot.f64 y.re y.im))>
#<alt (-.f64 (.f64 x.im (/.f64 y.re (hypot.f64 y.re y.im))) (.f64 y.im (/.f64 x.re (hypot.f64 y.re y.im))))>
#<alt (/.f64 y.re (hypot.f64 y.re y.im))>
#<alt (*.f64 x.im (/.f64 #s(literal 1 binary64) y.re))>
#<alt (/.f64 #s(literal 1 binary64) y.re)>
#<alt (/.f64 (/.f64 (*.f64 x.im y.re) y.im) y.im)>
#<alt (.f64 (-.f64 x.im (.f64 y.im (/.f64 x.re y.re))) (/.f64 #s(literal 1 binary64) y.re))>
#<alt (pow.f64 (cbrt.f64 (/.f64 x.im y.re)) #s(literal 3 binary64))>
#<alt (cbrt.f64 (/.f64 x.im y.re))>
#<alt (*.f64 y.im (/.f64 x.re (hypot.f64 y.re y.im)))>

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

Calls

81 calls:

Time	Variable		Point	Expression
3.0ms	y.re	@	inf	(cbrt (/ x.im y.re))
3.0ms	x.im	@	-inf	(pow (cbrt (/ x.im y.re)) 3)
2.0ms	y.re	@	-inf	(pow (cbrt (/ x.im y.re)) 3)
2.0ms	y.im	@	inf	(/ y.re (sqrt (+ (* y.re y.re) (* y.im y.im))))
2.0ms	x.im	@	inf	(cbrt (/ x.im y.re))

rewrite125.0ms (1%)

Memory

16.7MiB live, 134.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

237×	`log1p-expm1-u`
237×	`expm1-log1p-u`
234×	`add-cube-cbrt`
233×	`add-exp-log`
232×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	329
1	559	290

Stop Event

1×	node limit

Counts

10 → 384

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 x.im (/.f64 y.re (hypot.f64 y.re y.im))) (.f64 y.im (/.f64 x.re (hypot.f64 y.re y.im)))) (hypot.f64 y.re y.im))
(-.f64 (.f64 x.im (/.f64 y.re (hypot.f64 y.re y.im))) (.f64 y.im (/.f64 x.re (hypot.f64 y.re y.im))))
(/.f64 y.re (hypot.f64 y.re y.im))
(*.f64 x.im (/.f64 #s(literal 1 binary64) y.re))
(/.f64 #s(literal 1 binary64) y.re)
(/.f64 (/.f64 (*.f64 x.im 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))
(pow.f64 (cbrt.f64 (/.f64 x.im y.re)) #s(literal 3 binary64))
(cbrt.f64 (/.f64 x.im y.re))
(*.f64 y.im (/.f64 x.re (hypot.f64 y.re y.im)))

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

simplify456.0ms (3.5%)

Memory

-10.4MiB live, 389.7MiB allocated

Algorithm

1×	egg-herbie

Rules

734×	`fma-define`
531×	`times-frac`
333×	`*-commutative`
275×	`distribute-lft-in`
270×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1249	33531
1	3519	31237

Stop Event

1×	node limit

Counts

680 → 748

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

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

eval145.0ms (1.1%)

Memory: 10.4MiB live, 268.9MiB allocated
Compiler: Compiled 23 425 to 3 846 computations (83.6% saved)

prune494.0ms (3.8%)

Memory

-6.1MiB live, 479.2MiB allocated

Pruning

28 alts after pruning (20 fresh and 8 done)

	Pruned	Kept	Total
New	1 060	6	1 066
Fresh	2	14	16
Picked	3	2	5
Done	0	6	6
Total	1 065	28	1 093

Accuracy

100.0%

Counts

1 093 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	36.8%	(pow.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im))) (hypot.f64 y.re y.im)) #s(literal 2 binary64))
✓	54.5%	(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
	60.0%	(/.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re (hypot.f64 y.re y.im)))) (hypot.f64 y.re y.im))
✓	53.9%	(/.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) y.re)
	54.3%	(/.f64 (-.f64 x.im (*.f64 y.im (/.f64 #s(literal 1 binary64) (/.f64 y.re x.re)))) y.re)
	53.9%	(/.f64 (-.f64 x.im (.f64 y.im (.f64 x.re (/.f64 #s(literal 1 binary64) y.re)))) y.re)
	25.0%	(/.f64 (*.f64 (/.f64 x.im y.im) y.re) y.im)
	43.0%	(/.f64 (.f64 y.re x.im) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
	18.3%	(/.f64 (*.f64 y.im (/.f64 x.re (neg.f64 y.re))) y.re)
✓	36.3%	(/.f64 (.f64 y.im (neg.f64 x.re)) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
	18.5%	(/.f64 (*.f64 x.re (/.f64 y.im (neg.f64 y.re))) y.re)
	41.1%	(/.f64 (*.f64 x.re (+.f64 (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64)) #s(literal -1 binary64))) y.im)
✓	25.1%	(/.f64 (*.f64 x.im (/.f64 y.re y.im)) y.im)
	11.3%	(/.f64 (*.f64 #s(literal 1 binary64) x.re) y.im)
✓	42.7%	(/.f64 (neg.f64 x.re) y.im)
	28.0%	(/.f64 x.re (hypot.f64 y.re y.im))
	31.0%	(/.f64 x.im (hypot.f64 y.re y.im))
✓	46.6%	(/.f64 x.im y.re)
	25.3%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y.im x.im) (/.f64 y.re y.im)))
	46.3%	(/.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
	11.5%	(/.f64 #s(literal 1 binary64) (/.f64 y.im x.re))
	25.0%	(*.f64 (/.f64 y.re y.im) (/.f64 x.im y.im))
✓	53.8%	(.f64 (-.f64 x.im (.f64 y.im (/.f64 x.re y.re))) (/.f64 #s(literal 1 binary64) y.re))
	54.2%	(.f64 (-.f64 x.im (.f64 y.im (/.f64 #s(literal 1 binary64) (/.f64 y.re x.re)))) (/.f64 #s(literal 1 binary64) y.re))
	24.4%	(*.f64 x.im (/.f64 (/.f64 y.re y.im) y.im))
	46.4%	(*.f64 x.im (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
✓	46.5%	(*.f64 x.im (/.f64 #s(literal 1 binary64) y.re))
	59.6%	(cbrt.f64 (pow.f64 (/.f64 (-.f64 (.f64 x.im (/.f64 y.re (hypot.f64 y.re y.im))) (.f64 y.im (/.f64 x.re (hypot.f64 y.re y.im)))) (hypot.f64 y.re y.im)) #s(literal 3 binary64)))

Compiler

Compiled 842 to 373 computations (55.7% saved)

regimes76.0ms (0.6%)

Memory

1.2MiB live, 120.0MiB allocated

Counts

45 → 1

Calls

Call 1

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

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

Calls

5 calls:

20.0ms	y.re
14.0ms	x.re
13.0ms	(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
13.0ms	x.im
13.0ms	y.im

Results

Accuracy	Segments	Branch
99.2%	1	`x.re`
99.2%	1	`x.im`
99.2%	1	`y.re`
99.2%	1	`y.im`
99.2%	1	`(/.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)

regimes61.0ms (0.5%)

Memory

25.8MiB live, 64.4MiB allocated

Counts

40 → 2

Calls

Call 1

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

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

Calls

5 calls:

13.0ms	y.im
11.0ms	x.im
11.0ms	y.re
11.0ms	x.re
11.0ms	(/.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
84.1%	3	`x.re`
79.6%	3	`x.im`
88.8%	5	`y.re`
90.4%	5	`y.im`
87.6%	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)

regimes223.0ms (1.7%)

Memory

1.3MiB live, 83.0MiB allocated

Counts

38 → 4

Calls

Call 1

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

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

Calls

4 calls:

186.0ms	(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
13.0ms	y.re
11.0ms	y.im
11.0ms	x.re

Results

Accuracy	Segments	Branch
73.0%	3	`x.re`
85.9%	5	`y.re`
85.6%	4	`y.im`
78.4%	3	`(/.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 34 to 23 computations (32.4% saved)

regimes11.0ms (0.1%)

Memory

-19.2MiB live, 20.0MiB allocated

Counts

27 → 3

Calls

Call 1

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

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

Calls

1 calls:

8.0ms

y.im

Results

Accuracy	Segments	Branch
83.9%	3	`y.im`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes80.0ms (0.6%)

Memory

-5.4MiB live, 34.0MiB allocated

Counts

17 → 3

Calls

Call 1

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

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

Calls

3 calls:

67.0ms	x.im
5.0ms	y.im
5.0ms	y.re

Results

Accuracy	Segments	Branch
63.4%	5	`x.im`
68.9%	3	`y.re`
78.3%	3	`y.im`

Compiler

Compiled 15 to 12 computations (20% saved)

regimes11.0ms (0.1%)

Memory

24.4MiB live, 24.4MiB allocated

Counts

15 → 3

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	y.im
5.0ms	x.re

Results

Accuracy	Segments	Branch
58.1%	3	`x.re`
71.2%	3	`y.im`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes8.0ms (0.1%)

Memory

-34.6MiB live, 13.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	y.im
1.0ms	y.re
1.0ms	x.re
1.0ms	x.im

Results

Accuracy	Segments	Branch
46.6%	1	`x.re`
46.6%	1	`x.im`
46.6%	1	`y.re`
46.6%	1	`y.im`

Compiler

Compiled 20 to 16 computations (20% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.619827776011827e+285	+inf

Compiler

Compiled 22 to 18 computations (18.2% saved)

bsearch51.0ms (0.4%)

Memory

12.5MiB live, 91.0MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
15.0ms	4.876006682782961e-22	2.9522256721434087e-16
16.0ms	-1.178143655601181e-106	-5.823576033944168e-112
16.0ms	-4.58493647452843e+111	-1.5413067657280523e+96

Samples

33.0ms

448×

valid

Compiler

Compiled 920 to 579 computations (37.1% saved)

Precisions

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

ival-mult: 13.0ms (63.6% of total)

ival-div: 3.0ms (14.7% of total)

ival-sub: 2.0ms (9.8% of total)

ival-add: 2.0ms (9.8% of total)

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

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

bsearch42.0ms (0.3%)

Memory

-0.4MiB live, 38.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	4.876006682782961e-22	2.9522256721434087e-16
25.0ms	-6.486389917764709e+32	-1.8690362235105772e+30

Samples

19.0ms

272×

valid

Compiler

Compiled 498 to 324 computations (34.9% saved)

Precisions

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

ival-mult: 7.0ms (61.8% of total)

ival-div: 2.0ms (17.7% of total)

ival-sub: 1.0ms (8.8% of total)

ival-add: 1.0ms (8.8% of total)

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

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

bsearch22.0ms (0.2%)

Memory

7.8MiB live, 7.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	4.876006682782961e-22	2.9522256721434087e-16
6.0ms	-1.5413067657280523e+96	-8.588394852124368e+95

Samples

14.0ms

208×

valid

Compiler

Compiled 321 to 226 computations (29.6% saved)

Precisions

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

ival-mult: 5.0ms (60% of total)

ival-sub: 1.0ms (12% of total)

ival-div: 1.0ms (12% of total)

ival-add: 1.0ms (12% of total)

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

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

bsearch20.0ms (0.2%)

Memory

7.2MiB live, 7.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	1.0844255596473735e-42	2.8768592042798113e-39
6.0ms	-1.5413067657280523e+96	-8.588394852124368e+95

Samples

12.0ms

192×

valid

Compiler

Compiled 226 to 174 computations (23% saved)

Precisions

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

ival-mult: 5.0ms (65.7% of total)

ival-sub: 1.0ms (13.1% of total)

ival-div: 1.0ms (13.1% of total)

ival-add: 1.0ms (13.1% of total)

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

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

simplify82.0ms (0.6%)

Memory

-29.8MiB live, 11.7MiB allocated

Algorithm

1×	egg-herbie

Rules

17×	`*-commutative`
15×	`+-commutative`
14×	`sub-neg`
10×	`neg-sub0`
10×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	769
1	114	769
2	145	769
3	166	769
4	179	769
5	185	769
6	187	769

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 x.im (/.f64 y.re (hypot.f64 y.re y.im))) (.f64 y.im (/.f64 x.re (hypot.f64 y.re y.im)))) (hypot.f64 y.re y.im))
(if (<=.f64 (/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im))) #s(literal 10000000000000000329886110340869674854270880115045078636847583141738025727786089878914788718586324412860117381629402398400588202211517615861824081167237790591132705927077058380451118207922609574937392980048643791654301923722148311225012721166820834263125344653917287293299907083743789056 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (hypot.f64 y.re y.im))) (/.f64 (-.f64 (.f64 y.re (/.f64 x.im y.im)) x.re) y.im))
(if (<=.f64 y.im #s(literal -13999999999999999644875205637569221131689805204954282958988925392028263544579508329510812325888892120072192 binary64)) (/.f64 (-.f64 (.f64 y.re (/.f64 x.im y.im)) x.re) y.im) (if (<=.f64 y.im #s(literal -6092291808370931/338460656020607282663380637712778772392143197677711984273740183180495765112991409062496875745134225841966700556811959451779072 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.im #s(literal 1419768672255617/5070602400912917605986812821504 binary64)) (/.f64 (-.f64 x.im (.f64 x.re (/.f64 y.im y.re))) y.re) (/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im))))
(if (<=.f64 y.im #s(literal -17800000000000000973191270891520 binary64)) (/.f64 (-.f64 (.f64 y.re (/.f64 x.im y.im)) x.re) y.im) (if (<=.f64 y.im #s(literal 1419768672255617/5070602400912917605986812821504 binary64)) (/.f64 (-.f64 x.im (.f64 x.re (/.f64 y.im y.re))) y.re) (/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)))
(if (<=.f64 y.im #s(literal -919999999999999988958593952230525201055836455133104711409638633307379290497169658584240813506560 binary64)) (/.f64 (neg.f64 x.re) y.im) (if (<=.f64 y.im #s(literal 934613434536269/2596148429267413814265248164610048 binary64)) (/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re) (/.f64 (neg.f64 x.re) y.im)))
(if (<=.f64 y.im #s(literal -1199999999999999964977105263081244329422971263409020468491100078641636017795514159178915017392128 binary64)) (/.f64 (neg.f64 x.re) y.im) (if (<=.f64 y.im #s(literal 7049479487983089/3064991081731777716716694054300618367237478244367204352 binary64)) (/.f64 x.im y.re) (/.f64 (neg.f64 x.re) y.im)))
(/.f64 x.im y.re)

Outputs
(/.f64 (-.f64 (.f64 x.im (/.f64 y.re (hypot.f64 y.re y.im))) (.f64 y.im (/.f64 x.re (hypot.f64 y.re y.im)))) (hypot.f64 y.re y.im))
(if (<=.f64 (/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im))) #s(literal 10000000000000000329886110340869674854270880115045078636847583141738025727786089878914788718586324412860117381629402398400588202211517615861824081167237790591132705927077058380451118207922609574937392980048643791654301923722148311225012721166820834263125344653917287293299907083743789056 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (hypot.f64 y.re y.im))) (/.f64 (-.f64 (.f64 y.re (/.f64 x.im y.im)) x.re) y.im))
(if (<=.f64 (/.f64 (-.f64 (.f64 x.im y.re) (.f64 y.im x.re)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im))) #s(literal 10000000000000000329886110340869674854270880115045078636847583141738025727786089878914788718586324412860117381629402398400588202211517615861824081167237790591132705927077058380451118207922609574937392980048643791654301923722148311225012721166820834263125344653917287293299907083743789056 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (-.f64 (.f64 x.im y.re) (.f64 y.im x.re)) (hypot.f64 y.re y.im))) (/.f64 (-.f64 (.f64 y.re (/.f64 x.im y.im)) x.re) y.im))
(if (<=.f64 y.im #s(literal -13999999999999999644875205637569221131689805204954282958988925392028263544579508329510812325888892120072192 binary64)) (/.f64 (-.f64 (.f64 y.re (/.f64 x.im y.im)) x.re) y.im) (if (<=.f64 y.im #s(literal -6092291808370931/338460656020607282663380637712778772392143197677711984273740183180495765112991409062496875745134225841966700556811959451779072 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.im #s(literal 1419768672255617/5070602400912917605986812821504 binary64)) (/.f64 (-.f64 x.im (.f64 x.re (/.f64 y.im y.re))) y.re) (/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im))))
(if (<=.f64 y.im #s(literal -13999999999999999644875205637569221131689805204954282958988925392028263544579508329510812325888892120072192 binary64)) (/.f64 (-.f64 (.f64 y.re (/.f64 x.im y.im)) x.re) y.im) (if (<=.f64 y.im #s(literal -6092291808370931/338460656020607282663380637712778772392143197677711984273740183180495765112991409062496875745134225841966700556811959451779072 binary64)) (/.f64 (-.f64 (.f64 x.im y.re) (.f64 y.im x.re)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im))) (if (<=.f64 y.im #s(literal 1419768672255617/5070602400912917605986812821504 binary64)) (/.f64 (-.f64 x.im (.f64 x.re (/.f64 y.im y.re))) y.re) (/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im))))
(if (<=.f64 y.im #s(literal -17800000000000000973191270891520 binary64)) (/.f64 (-.f64 (.f64 y.re (/.f64 x.im y.im)) x.re) y.im) (if (<=.f64 y.im #s(literal 1419768672255617/5070602400912917605986812821504 binary64)) (/.f64 (-.f64 x.im (.f64 x.re (/.f64 y.im y.re))) y.re) (/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)))
(if (or (<=.f64 y.im #s(literal -17800000000000000973191270891520 binary64)) (not (<=.f64 y.im #s(literal 1419768672255617/5070602400912917605986812821504 binary64)))) (/.f64 (-.f64 (.f64 y.re (/.f64 x.im y.im)) x.re) y.im) (/.f64 (-.f64 x.im (.f64 x.re (/.f64 y.im y.re))) y.re))
(if (<=.f64 y.im #s(literal -919999999999999988958593952230525201055836455133104711409638633307379290497169658584240813506560 binary64)) (/.f64 (neg.f64 x.re) y.im) (if (<=.f64 y.im #s(literal 934613434536269/2596148429267413814265248164610048 binary64)) (/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re) (/.f64 (neg.f64 x.re) y.im)))
(if (or (<=.f64 y.im #s(literal -919999999999999988958593952230525201055836455133104711409638633307379290497169658584240813506560 binary64)) (not (<=.f64 y.im #s(literal 934613434536269/2596148429267413814265248164610048 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.im #s(literal -1199999999999999964977105263081244329422971263409020468491100078641636017795514159178915017392128 binary64)) (/.f64 (neg.f64 x.re) y.im) (if (<=.f64 y.im #s(literal 7049479487983089/3064991081731777716716694054300618367237478244367204352 binary64)) (/.f64 x.im y.re) (/.f64 (neg.f64 x.re) y.im)))
(if (or (<=.f64 y.im #s(literal -1199999999999999964977105263081244329422971263409020468491100078641636017795514159178915017392128 binary64)) (not (<=.f64 y.im #s(literal 7049479487983089/3064991081731777716716694054300618367237478244367204352 binary64)))) (/.f64 (neg.f64 x.re) y.im) (/.f64 x.im y.re))
(/.f64 x.im y.re)

soundness1.7s (13%)

Memory

15.8MiB live, 1 896.7MiB allocated

Rules

942×	`log1p-expm1-u`
942×	`expm1-log1p-u`
766×	`fmm-def`
670×	`fma-define`
621×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1683	53963
1	4556	52384
0	38	565
1	665	519
0	765	24434
1	1913	20630
2	6335	20610
0	18	161
1	268	151
2	3887	151
0	1293	38176
1	3553	35318
0	37	443
1	686	398

Stop Event

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

Compiler

Compiled 1 893 to 406 computations (78.6% saved)

preprocess50.0ms (0.4%)

Memory: 4.4MiB live, 162.0MiB allocated
Compiler: Compiled 416 to 150 computations (63.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze25.0ms (0.2%)

sample1.7s (13%)

preprocess269.0ms (2.1%)

explain167.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify94.0ms (0.7%)

localize33.0ms (0.3%)

series29.0ms (0.2%)

rewrite326.0ms (2.5%)

simplify297.0ms (2.3%)

eval63.0ms (0.5%)

prune186.0ms (1.4%)

simplify554.0ms (4.3%)

localize395.0ms (3.1%)

series95.0ms (0.7%)

rewrite286.0ms (2.2%)

simplify978.0ms (7.6%)

eval225.0ms (1.7%)

prune382.0ms (3%)

simplify553.0ms (4.3%)

localize119.0ms (0.9%)

series53.0ms (0.4%)

rewrite414.0ms (3.2%)

simplify739.0ms (5.7%)

eval334.0ms (2.6%)

prune238.0ms (1.8%)

simplify564.0ms (4.4%)

localize114.0ms (0.9%)

series43.0ms (0.3%)

rewrite125.0ms (1%)

simplify456.0ms (3.5%)

eval145.0ms (1.1%)

prune494.0ms (3.8%)

regimes76.0ms (0.6%)

regimes61.0ms (0.5%)

regimes223.0ms (1.7%)

regimes11.0ms (0.1%)

regimes80.0ms (0.6%)

regimes11.0ms (0.1%)

regimes8.0ms (0.1%)

bsearch0.0ms (0%)

bsearch51.0ms (0.4%)

bsearch42.0ms (0.3%)

bsearch22.0ms (0.2%)

bsearch20.0ms (0.2%)

simplify82.0ms (0.6%)

soundness1.7s (13%)

preprocess50.0ms (0.4%)

end0.0ms (0%)

Profiling