Metrics for _divideComplex, real part

analyze179.0ms (1.4%)

Memory

2.1MiB live, 41.3MiB 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

-165.9MiB live, 1 443.3MiB allocated

Samples

1.4s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 625.0ms

ival-mult: 500.0ms (80% of total)

ival-add: 68.0ms (10.9% of total)

ival-div: 49.0ms (7.8% of total)

ival-true: 6.0ms (1% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

preprocess472.0ms (3.7%)

Memory

-10.4MiB live, 149.7MiB allocated

Algorithm

1×	egg-herbie

Rules

1 573×	`fmm-def`
912×	`fma-define`
860×	`times-frac`
537×	`div-sub`
318×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	976
1	162	976
2	263	976
3	484	976
4	1174	976
5	3112	976
6	4405	976
7	5572	976
8	6433	976
9	6831	976
10	6959	976
11	7132	976
12	7586	976
13	7586	976
14	7586	976
15	7586	976
16	7946	976

Stop Event

1×	node limit

Calls

Call 1

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

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

explain249.0ms (1.9%)

Memory

18.3MiB live, 299.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
99	1	(-1.2193522106525615e-279 7.481957347100386e-71 -4.151744859674867e+251 -1.6826821481359203e+252)	2	(3.6967673333928807e-239 6.211356922586199e+267 -6.193179834516353e-156 -1.4246697931752847e-284)	`(/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))`
3	0	-	0	-	`(+.f64 (.f64 x.re y.re) (.f64 x.im y.im))`
0	0	-	0	-	`(+.f64 (.f64 y.re y.re) (.f64 y.im y.im))`
0	0	-	0	-	`(*.f64 y.re y.re)`
0	0	-	0	-	`(*.f64 x.re y.re)`
0	0	-	0	-	`(*.f64 y.im y.im)`
0	0	-	0	-	`x.re`
0	0	-	0	-	`y.re`
0	0	-	0	-	`y.im`
0	0	-	0	-	`(*.f64 x.im y.im)`
0	0	-	0	-	`x.im`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))`	n/o	42	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.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))`	o/o	39	0
↳	`(+.f64 (.f64 x.re y.re) (.f64 x.im y.im))`	overflow	47
↳	`(*.f64 x.im y.im)`	overflow	31
↳	`(*.f64 x.re y.re)`	overflow	23
↳	`(*.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.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))`	o/n	8	0
↳	`(+.f64 (.f64 x.re y.re) (.f64 x.im y.im))`	overflow	47
↳	`(*.f64 x.im y.im)`	overflow	31
↳	`(*.f64 x.re y.re)`	overflow	23
`/.f64`	`(/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))`	n/u	5	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 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))`	u/u	3	0
↳	`(+.f64 (.f64 x.re y.re) (.f64 x.im y.im))`	underflow	4
↳	`(*.f64 x.im y.im)`	underflow	29
↳	`(*.f64 x.re y.re)`	underflow	24
↳	`(*.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.re y.re) (.f64 x.im y.im))`	nan-rescue	3	0
↳	`(*.f64 x.re y.re)`	overflow	23
↳	`(*.f64 x.im y.im)`	overflow	31
`/.f64`	`(/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))`	u/n	1	0
↳	`(+.f64 (.f64 x.re y.re) (.f64 x.im y.im))`	underflow	4
↳	`(*.f64 x.im y.im)`	underflow	29
↳	`(*.f64 x.re y.re)`	underflow	24

Confusion

	Predicted +	Predicted -
+	97	2
-	1	156

Precision

0.9897959183673469

Recall

0.9797979797979798

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	97	0	2
-	1	0	156

Precision?

0.9897959183673469

Recall?

0.9797979797979798

Freqs

test

number	freq
0	158
1	95
2	3

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

112.0ms

512×

valid

Compiler

Compiled 132 to 48 computations (63.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 93.0ms

ival-mult: 85.0ms (91% of total)

ival-add: 5.0ms (5.4% of total)

ival-div: 3.0ms (3.2% of total)

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

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

eval0.0ms (0%)

Memory: 1.1MiB live, 1.0MiB allocated
Compiler: Compiled 17 to 9 computations (47.1% saved)

prune2.0ms (0%)

Memory

-36.5MiB live, 2.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	63.8%	(/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))

Compiler

Compiled 19 to 11 computations (42.1% saved)

simplify8.0ms (0.1%)

Memory

20.3MiB live, 20.3MiB 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.im y.im)
✓	cost-diff	(*.f64 x.re y.re)

Rules

6×	`fma-define`
2×	`*-commutative`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	181
1	25	181
2	29	181

Stop Event

1×

saturated

Calls

Call 1

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

localize32.0ms (0.3%)

Memory

-17.9MiB live, 60.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x.im y.im)
✓	accuracy	100.0%	(+.f64 (.f64 y.re y.re) (.f64 y.im y.im))
✓	accuracy	99.0%	(+.f64 (.f64 x.re y.re) (.f64 x.im y.im))
✓	accuracy	64.1%	(/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))

Samples

20.0ms

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 (66.1% of total)

ival-div: 2.0ms (18.9% of total)

ival-add: 2.0ms (18.9% of total)

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

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

series24.0ms (0.2%)

Memory

1.5MiB live, 40.7MiB allocated

Counts

7 → 144

Calls

Call 1

Inputs
#<alt (*.f64 x.re y.re)>
#<alt (*.f64 x.im y.im)>
#<alt (*.f64 y.re y.re)>
#<alt (*.f64 y.im y.im)>
#<alt (/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))>
#<alt (+.f64 (.f64 x.re y.re) (.f64 x.im 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))>
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#<alt (/.f64 (*.f64 x.re 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 x.im y.im)>
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#<alt (+.f64 (.f64 x.im y.im) (.f64 x.re y.re))>
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#<alt (*.f64 x.re y.re)>
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#<alt (.f64 x.re (+.f64 y.re (/.f64 (.f64 x.im y.im) x.re)))>
#<alt (.f64 x.re (+.f64 y.re (/.f64 (.f64 x.im y.im) x.re)))>
#<alt (*.f64 x.re y.re)>
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#<alt (.f64 #s(literal -1 binary64) (.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) y.re) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) x.re)))))>
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#<alt (*.f64 x.im y.im)>
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#<alt (+.f64 (.f64 x.im y.im) (.f64 x.re y.re))>
#<alt (+.f64 (.f64 x.im y.im) (.f64 x.re y.re))>
#<alt (*.f64 x.re y.re)>
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#<alt (.f64 y.re (+.f64 x.re (/.f64 (.f64 x.im y.im) y.re)))>
#<alt (.f64 y.re (+.f64 x.re (/.f64 (.f64 x.im y.im) y.re)))>
#<alt (*.f64 x.re y.re)>
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#<alt (.f64 #s(literal -1 binary64) (.f64 y.re (+.f64 (.f64 #s(literal -1 binary64) x.re) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) y.re)))))>
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#<alt (*.f64 x.re y.re)>
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#<alt (+.f64 (.f64 x.im y.im) (.f64 x.re y.re))>
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#<alt (*.f64 x.im y.im)>
#<alt (.f64 x.im (+.f64 y.im (/.f64 (.f64 x.re y.re) x.im)))>
#<alt (.f64 x.im (+.f64 y.im (/.f64 (.f64 x.re y.re) x.im)))>
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#<alt (*.f64 x.im y.im)>
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#<alt (+.f64 (.f64 x.im y.im) (.f64 x.re y.re))>
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#<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)))))>
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#<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)))))>
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#<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
2.0ms	y.im	@	inf	(/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im)))
1.0ms	x.re	@	0	(/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im)))
1.0ms	y.re	@	0	(* y.re y.re)
1.0ms	x.im	@	0	(/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im)))
1.0ms	x.re	@	-inf	(/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im)))

rewrite287.0ms (2.2%)

Memory

14.9MiB live, 284.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

819×	`log1p-expm1-u`
819×	`expm1-log1p-u`
503×	`fma-define`
241×	`fmm-def`
218×	`expm1-undefine`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	153
1	254	143
2	3547	143

Stop Event

1×	node limit

Counts

7 → 210

Calls

Call 1

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

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

simplify193.0ms (1.5%)

Memory

0.9MiB live, 240.0MiB allocated

Algorithm

1×	egg-herbie

Rules

533×	`distribute-lft-neg-in`
477×	`distribute-rgt-neg-in`
380×	`fmm-def`
253×	`associate-r`
236×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	606	13204
1	1504	12488
2	4849	12428

Stop Event

1×	node limit

Counts

354 → 336

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

eval247.0ms (1.9%)

Memory: 26.0MiB live, 102.0MiB allocated
Compiler: Compiled 6 646 to 1 153 computations (82.7% saved)

prune64.0ms (0.5%)

Memory

-3.9MiB live, 200.8MiB allocated

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	323	13	336
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	323	14	337

Accuracy

99.8%

Counts

337 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	63.8%	(/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
	53.8%	(/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)
	54.3%	(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
▶	50.4%	(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
	53.7%	(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
	42.7%	(/.f64 (.f64 y.re x.re) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
▶	37.3%	(/.f64 (.f64 y.im x.im) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
	51.8%	(/.f64 (.f64 x.re (fma.f64 x.im (/.f64 y.im x.re) y.re)) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
	41.9%	(/.f64 x.re y.re)
▶	41.0%	(/.f64 x.im y.im)
▶	49.0%	(+.f64 (/.f64 x.re y.re) (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
	45.6%	(+.f64 (/.f64 x.im y.im) (*.f64 x.re (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))
▶	80.2%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (.f64 x.im y.im)) (hypot.f64 y.re y.im)))
	39.1%	(*.f64 y.im (/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))

Compiler

Compiled 377 to 233 computations (38.2% saved)

simplify53.0ms (0.4%)

Memory

-25.0MiB live, 54.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))
✓	cost-diff	0	(*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))))
✓	cost-diff	0	(/.f64 x.re y.re)
✓	cost-diff	192	(+.f64 (/.f64 x.re y.re) (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
✓	cost-diff	-12608	(/.f64 (.f64 y.im x.im) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
	cost-diff	-6336	(*.f64 y.re y.re)
	cost-diff	0	(*.f64 y.im y.im)
✓	cost-diff	0	(*.f64 y.im x.im)
✓	cost-diff	-6272	(+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im))
✓	cost-diff	-6272	(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
	cost-diff	0	(*.f64 x.re y.re)
✓	cost-diff	0	(/.f64 (*.f64 x.re y.re) y.im)
✓	cost-diff	0	(/.f64 x.im y.im)
✓	cost-diff	0	(/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))
✓	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	192	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (.f64 x.im y.im)) (hypot.f64 y.re y.im)))

Rules

158×	`fma-define`
150×	`times-frac`
123×	`associate-r`
87×	`associate-l`
78×	`associate-*r/`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	35	599
1	61	575
2	97	575
3	198	568
4	362	568
5	505	568
6	658	568
7	797	562
8	855	562
9	941	562
10	1026	562
11	1035	562

Stop Event

1×

saturated

Calls

Call 1

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

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

localize168.0ms (1.3%)

Memory

20.3MiB live, 183.9MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(pow.f64 y.re #s(literal 2 binary64))
✓	accuracy	95.9%	(+.f64 (/.f64 x.re y.re) (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
✓	accuracy	89.8%	(*.f64 x.im (/.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 y.im y.im)
✓	accuracy	100.0%	(*.f64 y.im x.im)
	accuracy	100.0%	(+.f64 (.f64 y.re y.re) (.f64 y.im y.im))
✓	accuracy	70.5%	(/.f64 (.f64 y.im x.im) (+.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 (*.f64 x.re y.re) y.im))
✓	accuracy	99.6%	(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
✓	accuracy	91.6%	(/.f64 (*.f64 x.re y.re) y.im)
✓	accuracy	100.0%	(/.f64 x.im y.im)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
✓	accuracy	99.6%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (.f64 x.im y.im)) (hypot.f64 y.re y.im)))
✓	accuracy	99.6%	(fma.f64 x.re y.re (*.f64 x.im y.im))
✓	accuracy	80.9%	(/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))

Samples

135.0ms

256×

valid

Compiler

Compiled 147 to 29 computations (80.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 118.0ms

ival-mult: 92.0ms (78% of total)

ival-div: 12.0ms (10.2% of total)

ival-hypot: 8.0ms (6.8% of total)

ival-add: 4.0ms (3.4% of total)

ival-pow2: 2.0ms (1.7% of total)

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

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

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

series70.0ms (0.5%)

Memory

-14.3MiB live, 99.9MiB allocated

Counts

16 → 414

Calls

Call 1

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

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

Calls

138 calls:

Time	Variable		Point	Expression
5.0ms	y.im	@	inf	(/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im))))
3.0ms	y.im	@	inf	(/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
1.0ms	y.re	@	inf	(/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im))))
1.0ms	x.re	@	0	(/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
1.0ms	x.re	@	0	(/ (+ x.im (/ (* x.re y.re) y.im)) y.im)

rewrite247.0ms (1.9%)

Memory

15.4MiB live, 170.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

256×	`log1p-expm1-u`
256×	`expm1-log1p-u`
248×	`add-exp-log`
248×	`add-log-exp`
248×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	437
1	587	415

Stop Event

1×	node limit

Counts

16 → 482

Calls

Call 1

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

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

simplify423.0ms (3.3%)

Memory

6.0MiB live, 614.7MiB allocated

Algorithm

1×	egg-herbie

Rules

855×	`fma-define`
444×	`*-commutative`
361×	`distribute-lft-in`
233×	`distribute-rgt-neg-in`
215×	`neg-sub0`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1602	39183
1	4301	37613

Stop Event

1×	node limit

Counts

896 → 998

Calls

Call 1

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

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

eval753.0ms (5.8%)

Memory: -16.6MiB live, 295.9MiB allocated
Compiler: Compiled 23 937 to 3 871 computations (83.8% saved)

prune470.0ms (3.6%)

Memory

26.4MiB live, 421.9MiB allocated

Pruning

20 alts after pruning (17 fresh and 3 done)

	Pruned	Kept	Total
New	1 172	12	1 184
Fresh	3	5	8
Picked	2	3	5
Done	1	0	1
Total	1 178	20	1 198

Accuracy

99.8%

Counts

1 198 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	22.2%	(/.f64 (/.f64 (*.f64 x.re y.re) y.im) y.im)
	46.0%	(/.f64 (/.f64 (*.f64 x.im y.im) (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re))
	53.8%	(/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)
▶	54.3%	(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
✓	50.4%	(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
	50.3%	(/.f64 (+.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 y.im (*.f64 x.re y.re)))) y.im)
▶	48.0%	(/.f64 (*.f64 y.re (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re))) y.im)
	42.7%	(/.f64 (.f64 y.re x.re) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
✓	37.3%	(/.f64 (.f64 y.im x.im) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
	24.1%	(/.f64 (*.f64 x.re (/.f64 y.re y.im)) y.im)
▶	41.9%	(/.f64 x.re y.re)
✓	41.0%	(/.f64 x.im y.im)
	53.4%	(/.f64 #s(literal 1 binary64) (/.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im)))
▶	79.8%	(/.f64 #s(literal 1 binary64) (.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (.f64 y.im x.im)))))
	47.0%	(+.f64 (/.f64 x.re y.re) (*.f64 (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) y.im))
	51.0%	(+.f64 (/.f64 x.re y.re) (*.f64 x.im (/.f64 (/.f64 y.im y.re) y.re)))
▶	35.5%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (.f64 #s(literal -1 binary64) (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))))
	29.4%	(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (neg.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)))
	39.1%	(*.f64 y.im (/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
	40.8%	(*.f64 x.im (/.f64 #s(literal 1 binary64) y.im))

Compiler

Compiled 509 to 322 computations (36.7% saved)

simplify165.0ms (1.3%)

Memory

-10.8MiB live, 28.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(*.f64 x.im y.im)
✓	cost-diff	0	(/.f64 (*.f64 x.im y.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	-6144	(/.f64 (*.f64 y.re (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re))) y.im)
✓	cost-diff	0	(/.f64 x.im y.re)
✓	cost-diff	0	(/.f64 x.re y.im)
✓	cost-diff	0	(+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re))
✓	cost-diff	-6272	(+.f64 x.re (*.f64 x.im (/.f64 y.im y.re)))
✓	cost-diff	-6272	(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
✓	cost-diff	0	(/.f64 y.im y.re)
✓	cost-diff	0	(*.f64 x.im (/.f64 y.im y.re))
	cost-diff	0	(/.f64 x.re y.re)
✓	cost-diff	0	(/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (*.f64 y.im x.im)))
	cost-diff	0	(hypot.f64 y.re y.im)
✓	cost-diff	6400	(.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (.f64 y.im x.im))))
✓	cost-diff	6528	(/.f64 #s(literal 1 binary64) (.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (.f64 y.im x.im)))))

Rules

920×	`fmm-def`
672×	`div-sub`
363×	`associate-/r*`
359×	`associate-*r/`
331×	`fma-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	36	762
1	79	728
2	181	728
3	455	696
4	923	696
5	1732	696
6	4131	696
7	6498	696

Stop Event

1×	node limit

Calls

Call 1

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

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

localize97.0ms (0.7%)

Memory

13.3MiB live, 132.3MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))
	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
✓	accuracy	90.8%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (.f64 #s(literal -1 binary64) (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))))
✓	accuracy	90.3%	(/.f64 (*.f64 x.im y.im) y.re)
✓	accuracy	100.0%	(/.f64 x.im y.re)
✓	accuracy	99.6%	(/.f64 (*.f64 y.re (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re))) y.im)
✓	accuracy	99.0%	(+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re))
✓	accuracy	86.6%	(*.f64 y.re (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re)))
✓	accuracy	100.0%	(/.f64 y.im y.re)
✓	accuracy	100.0%	(+.f64 x.re (*.f64 x.im (/.f64 y.im y.re)))
✓	accuracy	98.9%	(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
✓	accuracy	92.9%	(*.f64 x.im (/.f64 y.im y.re))
	accuracy	100.0%	(/.f64 x.re y.re)
✓	accuracy	99.6%	(.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (.f64 y.im x.im))))
✓	accuracy	99.6%	(fma.f64 y.re x.re (*.f64 y.im x.im))
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (.f64 y.im x.im)))))
✓	accuracy	80.8%	(/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (*.f64 y.im x.im)))

Samples

61.0ms

256×

valid

Compiler

Compiled 182 to 31 computations (83% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-div: 20.0ms (48.7% of total)

ival-mult: 12.0ms (29.2% of total)

ival-hypot: 5.0ms (12.2% of total)

ival-add: 4.0ms (9.7% of total)

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

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

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

series154.0ms (1.2%)

Memory

-2.6MiB live, 124.7MiB allocated

Counts

16 → 549

Calls

Call 1

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

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

Calls

168 calls:

Time	Variable		Point	Expression
64.0ms	y.im	@	inf	(* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* -1 (+ x.re (/ (* x.im y.im) y.re))))
10.0ms	y.re	@	-inf	(* (sqrt (+ (* y.re y.re) (* y.im y.im))) (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.re x.re) (* y.im x.im))))
8.0ms	x.re	@	-inf	(/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.re x.re) (* y.im x.im)))
2.0ms	y.im	@	inf	(/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.re x.re) (* y.im x.im)))
1.0ms	x.im	@	inf	(/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.re x.re) (* y.im x.im)))

rewrite278.0ms (2.2%)

Memory

-6.8MiB live, 230.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

253×	`log1p-expm1-u`
253×	`expm1-log1p-u`
251×	`add-cube-cbrt`
250×	`add-exp-log`
250×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	562
1	622	518

Stop Event

1×	node limit

Counts

16 → 583

Calls

Call 1

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

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

simplify846.0ms (6.6%)

Memory

34.1MiB live, 925.7MiB allocated

Algorithm

1×	egg-herbie

Rules

631×	`*-commutative`
336×	`mul-1-neg`
322×	`neg-sub0`
292×	`associate-*r/`
263×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	2072	59033
1	6423	57335

Stop Event

1×	node limit

Counts

1 132 → 1 141

Calls

Call 1

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

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

eval877.0ms (6.8%)

Memory: 3.8MiB live, 441.8MiB allocated
Compiler: Compiled 37 894 to 6 356 computations (83.2% saved)

prune513.0ms (4%)

Memory

-20.5MiB live, 659.4MiB allocated

Pruning

23 alts after pruning (18 fresh and 5 done)

	Pruned	Kept	Total
New	1 527	10	1 537
Fresh	4	8	12
Picked	3	2	5
Done	0	3	3
Total	1 534	23	1 557

Accuracy

99.8%

Counts

1 557 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	22.2%	(/.f64 (/.f64 (*.f64 x.re y.re) y.im) y.im)
	46.0%	(/.f64 (/.f64 (*.f64 x.im y.im) (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re))
	53.8%	(/.f64 (+.f64 x.re (/.f64 (*.f64 y.im x.im) y.re)) y.re)
▶	54.3%	(/.f64 (+.f64 x.re (/.f64 x.im (/.f64 y.re y.im))) y.re)
✓	54.3%	(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
✓	50.4%	(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
	50.3%	(/.f64 (+.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 y.im (*.f64 x.re y.re)))) y.im)
	24.8%	(/.f64 (*.f64 y.re (/.f64 x.re y.im)) y.im)
	42.7%	(/.f64 (.f64 y.re x.re) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
	44.8%	(/.f64 (*.f64 y.im (+.f64 (/.f64 x.im y.re) (/.f64 x.re y.im))) y.re)
✓	37.3%	(/.f64 (.f64 y.im x.im) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
▶	24.1%	(/.f64 (*.f64 x.re (/.f64 y.re y.im)) y.im)
	52.1%	(/.f64 (.f64 x.im (+.f64 #s(literal 1 binary64) (.f64 x.re (/.f64 (/.f64 y.re y.im) x.im)))) y.im)
	11.9%	(/.f64 (neg.f64 x.re) y.re)
✓	41.9%	(/.f64 x.re y.re)
▶	10.5%	(/.f64 x.im (neg.f64 y.re))
✓	41.0%	(/.f64 x.im y.im)
	42.0%	(/.f64 #s(literal 1 binary64) (/.f64 y.re x.re))
	29.4%	(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (neg.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)))
▶	53.7%	(.f64 (/.f64 #s(literal -1 binary64) y.re) (.f64 #s(literal -1 binary64) (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))))
▶	44.2%	(*.f64 (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re)) (/.f64 y.re y.im))
	39.1%	(*.f64 y.im (/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
	40.8%	(*.f64 x.im (/.f64 #s(literal 1 binary64) y.im))

Compiler

Compiled 519 to 335 computations (35.5% saved)

simplify89.0ms (0.7%)

Memory

14.2MiB live, 53.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6016	(.f64 (/.f64 #s(literal -1 binary64) y.re) (.f64 #s(literal -1 binary64) (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))))
	cost-diff	0	(*.f64 x.im y.im)
	cost-diff	0	(/.f64 (*.f64 x.im y.im) y.re)
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) y.re)
✓	cost-diff	0	(/.f64 y.re y.im)
	cost-diff	0	(/.f64 x.im y.re)
	cost-diff	0	(/.f64 x.re y.im)
	cost-diff	0	(+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re))
✓	cost-diff	0	(/.f64 y.re y.im)
✓	cost-diff	0	(*.f64 x.re (/.f64 y.re y.im))
✓	cost-diff	0	(/.f64 (*.f64 x.re (/.f64 y.re y.im)) y.im)
✓	cost-diff	0	(neg.f64 y.re)
✓	cost-diff	0	(/.f64 x.im (neg.f64 y.re))
✓	cost-diff	-6272	(+.f64 x.re (/.f64 x.im (/.f64 y.re y.im)))
✓	cost-diff	-6272	(/.f64 (+.f64 x.re (/.f64 x.im (/.f64 y.re y.im))) y.re)
✓	cost-diff	0	(/.f64 y.re y.im)
✓	cost-diff	0	(/.f64 x.im (/.f64 y.re y.im))

Rules

1 405×	`fma-define`
910×	`fmm-def`
468×	`div-sub`
463×	`unsub-neg`
235×	`associate-/r*`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	31	536
1	63	516
2	162	516
3	362	516
4	805	516
5	1721	503
6	4495	503
7	6954	503

Stop Event

1×	node limit

Calls

Call 1

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

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

localize317.0ms (2.5%)

Memory

17.7MiB live, 96.8MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 #s(literal -1 binary64) (+.f64 x.re (/.f64 (.f64 x.im y.im) y.re)))
✓	accuracy	100.0%	(+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))
✓	accuracy	98.6%	(.f64 (/.f64 #s(literal -1 binary64) y.re) (.f64 #s(literal -1 binary64) (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))))
	accuracy	90.3%	(/.f64 (*.f64 x.im y.im) y.re)
	accuracy	100.0%	(/.f64 x.re y.im)
	accuracy	100.0%	(/.f64 x.im y.re)
	accuracy	99.0%	(+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re))
✓	accuracy	90.1%	(*.f64 (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re)) (/.f64 y.re y.im))
✓	accuracy	100.0%	(/.f64 y.re y.im)
✓	accuracy	98.8%	(/.f64 (*.f64 x.re (/.f64 y.re y.im)) y.im)
✓	accuracy	90.4%	(*.f64 x.re (/.f64 y.re y.im))
✓	accuracy	100.0%	(/.f64 x.im (neg.f64 y.re))
✓	accuracy	100.0%	(neg.f64 y.re)
✓	accuracy	100.0%	(/.f64 y.re y.im)
✓	accuracy	100.0%	(+.f64 x.re (/.f64 x.im (/.f64 y.re y.im)))
✓	accuracy	98.9%	(/.f64 (+.f64 x.re (/.f64 x.im (/.f64 y.re y.im))) y.re)
✓	accuracy	92.7%	(/.f64 x.im (/.f64 y.re y.im))

Samples

43.0ms

256×

valid

Compiler

Compiled 132 to 25 computations (81.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-div: 15.0ms (56.6% of total)

ival-mult: 7.0ms (26.4% of total)

ival-add: 3.0ms (11.3% of total)

ival-neg: 1.0ms (3.8% of total)

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

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

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

series99.0ms (0.8%)

Memory

-29.3MiB live, 48.2MiB allocated

Counts

13 → 417

Calls

Call 1

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

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

Calls

117 calls:

Time	Variable		Point	Expression
31.0ms	y.re	@	-inf	(/ x.im (/ y.re y.im))
1.0ms	x.re	@	inf	(/ (* x.re (/ y.re y.im)) y.im)
1.0ms	y.re	@	inf	(/ (* x.re (/ y.re y.im)) y.im)
1.0ms	x.re	@	0	(/ (* x.re (/ y.re y.im)) y.im)
1.0ms	y.re	@	0	(/ (* x.re (/ y.re y.im)) y.im)

rewrite267.0ms (2.1%)

Memory

16.3MiB live, 221.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

252×	`log1p-expm1-u`
252×	`expm1-log1p-u`
251×	`add-cube-cbrt`
250×	`associate-r`
249×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	345
1	541	317

Stop Event

1×	node limit

Counts

13 → 549

Calls

Call 1

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

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

simplify507.0ms (3.9%)

Memory

-6.3MiB live, 579.7MiB allocated

Algorithm

1×	egg-herbie

Rules

546×	`associate-/l*`
503×	`associate-/r*`
465×	`associate-*r/`
419×	`fma-define`
396×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1005	36590
1	2590	34615

Stop Event

1×	node limit

Counts

966 → 637

Calls

Call 1

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

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

eval126.0ms (1%)

Memory: 21.9MiB live, 372.4MiB allocated
Compiler: Compiled 14 473 to 2 718 computations (81.2% saved)

prune690.0ms (5.4%)

Memory

-18.3MiB live, 403.3MiB allocated

Pruning

24 alts after pruning (17 fresh and 7 done)

	Pruned	Kept	Total
New	933	8	941
Fresh	4	9	13
Picked	3	2	5
Done	0	5	5
Total	940	24	964

Accuracy

99.8%

Counts

964 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	23.9%	(pow.f64 (cbrt.f64 (/.f64 (/.f64 x.re (/.f64 y.im y.re)) y.im)) #s(literal 3 binary64))
	22.2%	(/.f64 (/.f64 (*.f64 x.re y.re) y.im) y.im)
	46.0%	(/.f64 (/.f64 (*.f64 x.im y.im) (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re))
	11.0%	(/.f64 (/.f64 (neg.f64 x.re) (/.f64 y.im y.re)) y.im)
	53.7%	(/.f64 (+.f64 x.re (*.f64 (/.f64 x.im y.re) y.im)) y.re)
✓	54.3%	(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
✓	50.4%	(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
	24.8%	(/.f64 (*.f64 y.re (/.f64 x.re y.im)) y.im)
	42.7%	(/.f64 (.f64 y.re x.re) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
✓	37.3%	(/.f64 (.f64 y.im x.im) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
	11.9%	(/.f64 (neg.f64 x.re) y.re)
✓	41.9%	(/.f64 x.re y.re)
✓	10.5%	(/.f64 x.im (neg.f64 y.re))
	9.1%	(/.f64 x.im y.re)
✓	41.0%	(/.f64 x.im y.im)
	42.0%	(/.f64 #s(literal 1 binary64) (/.f64 y.re x.re))
	24.4%	(*.f64 (/.f64 x.re y.im) (/.f64 y.re y.im))
	29.4%	(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (neg.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)))
	23.7%	(.f64 (/.f64 #s(literal -1 binary64) y.re) (.f64 x.im (neg.f64 (/.f64 y.im y.re))))
✓	44.2%	(*.f64 (+.f64 (/.f64 x.re y.im) (/.f64 x.im y.re)) (/.f64 y.re y.im))
	39.1%	(*.f64 y.im (/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
	21.8%	(*.f64 x.re (/.f64 (/.f64 y.re y.im) y.im))
	40.8%	(*.f64 x.im (/.f64 #s(literal 1 binary64) y.im))
	10.5%	(*.f64 x.im (/.f64 #s(literal -1 binary64) y.re))

Compiler

Compiled 696 to 312 computations (55.2% saved)

regimes105.0ms (0.8%)

Memory

5.8MiB live, 124.3MiB allocated

Counts

44 → 2

Calls

Call 1

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

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

Calls

5 calls:

49.0ms	y.re
15.0ms	x.im
13.0ms	(/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
12.0ms	x.re
12.0ms	y.im

Results

Accuracy	Segments	Branch
80.2%	1	`x.re`
80.2%	1	`x.im`
84.5%	3	`y.re`
91.1%	3	`y.im`
91.1%	2	`(/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))`

Compiler

Compiled 39 to 27 computations (30.8% saved)

regimes28.0ms (0.2%)

Memory

-6.9MiB live, 30.3MiB allocated

Counts

42 → 5

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
88.3%	5	`y.im`
85.3%	5	`(/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))`

Compiler

Compiled 24 to 15 computations (37.5% saved)

regimes24.0ms (0.2%)

Memory

0.7MiB live, 37.0MiB allocated

Counts

31 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

12.0ms	y.re
9.0ms	y.im

Results

Accuracy	Segments	Branch
74.5%	3	`y.re`
84.0%	3	`y.im`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes11.0ms (0.1%)

Memory

13.1MiB live, 13.1MiB allocated

Counts

30 → 3

Calls

Call 1

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

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

Calls

1 calls:

9.0ms

y.im

Results

Accuracy	Segments	Branch
84.0%	3	`y.im`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes7.0ms (0.1%)

Memory

9.4MiB live, 9.4MiB allocated

Counts

19 → 3

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

y.im

Results

Accuracy	Segments	Branch
83.4%	3	`y.im`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes135.0ms (1%)

Memory

-9.8MiB live, 32.2MiB allocated

Counts

16 → 3

Calls

Call 1

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

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

Calls

4 calls:

118.0ms	y.im
5.0ms	x.im
5.0ms	x.re
5.0ms	y.re

Results

Accuracy	Segments	Branch
68.0%	3	`y.re`
57.8%	3	`x.re`
58.2%	3	`x.im`
74.1%	3	`y.im`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes13.0ms (0.1%)

Memory

-18.2MiB live, 20.6MiB allocated

Counts

14 → 3

Calls

Call 1

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

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

Calls

2 calls:

7.0ms	y.re
5.0ms	y.im

Results

Accuracy	Segments	Branch
58.6%	3	`y.re`
66.7%	3	`y.im`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes7.0ms (0.1%)

Memory

14.7MiB live, 14.7MiB allocated

Accuracy

Total -22.3b remaining (-59.1%)

Threshold costs -22.3b (-59.1%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

2.0ms	x.re
2.0ms	y.im
1.0ms	y.re
1.0ms	x.im

Results

Accuracy	Segments	Branch
41.0%	1	`x.re`
41.0%	1	`x.im`
41.0%	1	`y.re`
41.0%	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	+inf	NaN

Compiler

Compiled 22 to 18 computations (18.2% saved)

bsearch98.0ms (0.8%)

Memory

-22.6MiB live, 103.6MiB allocated

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
12.0ms	1.0454332476440836e+123	4.630201339577051e+127
13.0ms	5.480857073371942e-90	3.997685685101081e-87
14.0ms	-1.6861259871254262e-56	-6.939990723193811e-63
46.0ms	-4.911405388116731e+127	-4.58493647452843e+111

Samples

68.0ms

560×

valid

Compiler

Compiled 1 252 to 783 computations (37.5% saved)

Precisions

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

ival-mult: 15.0ms (65.7% of total)

ival-add: 4.0ms (17.5% of total)

ival-div: 3.0ms (13.1% of total)

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

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

bsearch93.0ms (0.7%)

Memory

4.2MiB live, 42.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
78.0ms	4.876006682782961e-22	2.9522256721434087e-16
13.0ms	-6.486389917764709e+32	-1.8690362235105772e+30

Samples

19.0ms

272×

valid

Compiler

Compiled 530 to 348 computations (34.3% saved)

Precisions

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

ival-mult: 7.0ms (62.7% of total)

ival-div: 2.0ms (17.9% of total)

ival-add: 2.0ms (17.9% of total)

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

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

bsearch31.0ms (0.2%)

Memory

13.0MiB live, 51.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	4.876006682782961e-22	2.9522256721434087e-16
13.0ms	-6.486389917764709e+32	-1.8690362235105772e+30

Samples

18.0ms

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 (62.6% of total)

ival-div: 2.0ms (17.9% of total)

ival-add: 2.0ms (17.9% of total)

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

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

bsearch31.0ms (0.2%)

Memory

15.8MiB live, 53.8MiB 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
14.0ms	-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 (62.5% of total)

ival-div: 2.0ms (17.9% of total)

ival-add: 2.0ms (17.9% of total)

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

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

bsearch33.0ms (0.3%)

Memory

-18.9MiB live, 60.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	4.876006682782961e-22	2.9522256721434087e-16
15.0ms	-6.486389917764709e+32	-1.8690362235105772e+30

Samples

22.0ms

272×

valid

Compiler

Compiled 396 to 273 computations (31.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 8.0ms (64.9% of total)

ival-div: 2.0ms (16.2% of total)

ival-add: 2.0ms (16.2% of total)

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

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

bsearch34.0ms (0.3%)

Memory

-10.7MiB live, 63.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	57904570844.05345	223258166999556540.0
15.0ms	-6.486389917764709e+32	-1.8690362235105772e+30

Samples

20.0ms

272×

valid

Compiler

Compiled 294 to 222 computations (24.5% saved)

Precisions

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

ival-mult: 9.0ms (68.9% of total)

ival-div: 2.0ms (15.3% of total)

ival-add: 2.0ms (15.3% of total)

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

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

simplify8.0ms (0.1%)

Memory

17.1MiB live, 17.1MiB allocated

Algorithm

1×	egg-herbie

Rules

8×	`if-if-or-not`
7×	`*-commutative`
6×	`+-commutative`
3×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	91	1036
1	124	1036

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im))) #s(literal +inf.0 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (.f64 x.im y.im)) (hypot.f64 y.re y.im))) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im))
(if (<=.f64 y.im #s(literal -80000000000000002987274699771679117755146206035934563048221843283024040645371976811028906971369011320419192234737536073728 binary64)) (/.f64 (.f64 x.im (+.f64 #s(literal 1 binary64) (.f64 x.re (/.f64 (/.f64 y.re y.im) x.im)))) y.im) (if (<=.f64 y.im #s(literal -7225426368408531/926336713898529563388567880069503262826159877325124512315660672063305037119488 binary64)) (/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im))) (if (<=.f64 y.im #s(literal 3673181377171599/8958978968711216842229769122273777112486581988938598139599956403855167484720643781523509973086428463104 binary64)) (/.f64 (+.f64 x.re (/.f64 (.f64 x.im y.im) y.re)) y.re) (if (<=.f64 y.im #s(literal 1049999999999999969256272646806107316406256647507989445712679523457116259474047594343606683300431627444936028222096721051648 binary64)) (/.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 x.im (.f64 x.re (/.f64 y.re y.im))) y.im)))))
(if (<=.f64 y.im #s(literal -569999999999999974742489185648640 binary64)) (/.f64 (.f64 x.im (+.f64 #s(literal 1 binary64) (.f64 x.re (/.f64 (/.f64 y.re y.im) x.im)))) y.im) (if (<=.f64 y.im #s(literal 4867778304876401/649037107316853453566312041152512 binary64)) (/.f64 (+.f64 x.re (/.f64 (.f64 x.im y.im) y.re)) y.re) (/.f64 (+.f64 x.im (.f64 x.re (/.f64 y.re y.im))) y.im)))
(if (<=.f64 y.im #s(literal -8499999999999999465331869351936 binary64)) (/.f64 (+.f64 x.im (.f64 x.re (/.f64 y.re y.im))) y.im) (if (<=.f64 y.im #s(literal 2636713248474717/10141204801825835211973625643008 binary64)) (/.f64 (+.f64 x.re (/.f64 (.f64 x.im y.im) y.re)) y.re) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)))
(if (<=.f64 y.im #s(literal -7899999999999999622286080475136 binary64)) (/.f64 (+.f64 x.im (.f64 x.re (/.f64 y.re y.im))) y.im) (if (<=.f64 y.im #s(literal 735237348132373/2535301200456458802993406410752 binary64)) (/.f64 (+.f64 x.re (.f64 x.im (/.f64 y.im y.re))) y.re) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)))
(if (<=.f64 y.im #s(literal -2219999999999999982219372265472 binary64)) (/.f64 (+.f64 x.im (.f64 x.re (/.f64 y.re y.im))) y.im) (if (<=.f64 y.im #s(literal 4673067172681345/10384593717069655257060992658440192 binary64)) (/.f64 x.re y.re) (/.f64 (+.f64 x.im (.f64 x.re (/.f64 y.re y.im))) y.im)))
(if (<=.f64 y.im #s(literal -13600000000000000945970841911296 binary64)) (/.f64 x.im y.im) (if (<=.f64 y.im #s(literal 860000000000000 binary64)) (/.f64 x.re y.re) (/.f64 x.im y.im)))
(/.f64 x.im y.im)

Outputs
(if (<=.f64 (/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im))) #s(literal +inf.0 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (.f64 x.im y.im)) (hypot.f64 y.re y.im))) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im))
(if (<=.f64 y.im #s(literal -80000000000000002987274699771679117755146206035934563048221843283024040645371976811028906971369011320419192234737536073728 binary64)) (/.f64 (.f64 x.im (+.f64 #s(literal 1 binary64) (.f64 x.re (/.f64 (/.f64 y.re y.im) x.im)))) y.im) (if (<=.f64 y.im #s(literal -7225426368408531/926336713898529563388567880069503262826159877325124512315660672063305037119488 binary64)) (/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im))) (if (<=.f64 y.im #s(literal 3673181377171599/8958978968711216842229769122273777112486581988938598139599956403855167484720643781523509973086428463104 binary64)) (/.f64 (+.f64 x.re (/.f64 (.f64 x.im y.im) y.re)) y.re) (if (<=.f64 y.im #s(literal 1049999999999999969256272646806107316406256647507989445712679523457116259474047594343606683300431627444936028222096721051648 binary64)) (/.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 x.im (.f64 x.re (/.f64 y.re y.im))) y.im)))))
(if (<=.f64 y.im #s(literal -569999999999999974742489185648640 binary64)) (/.f64 (.f64 x.im (+.f64 #s(literal 1 binary64) (.f64 x.re (/.f64 (/.f64 y.re y.im) x.im)))) y.im) (if (<=.f64 y.im #s(literal 4867778304876401/649037107316853453566312041152512 binary64)) (/.f64 (+.f64 x.re (/.f64 (.f64 x.im y.im) y.re)) y.re) (/.f64 (+.f64 x.im (.f64 x.re (/.f64 y.re y.im))) y.im)))
(if (<=.f64 y.im #s(literal -8499999999999999465331869351936 binary64)) (/.f64 (+.f64 x.im (.f64 x.re (/.f64 y.re y.im))) y.im) (if (<=.f64 y.im #s(literal 2636713248474717/10141204801825835211973625643008 binary64)) (/.f64 (+.f64 x.re (/.f64 (.f64 x.im y.im) y.re)) y.re) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)))
(if (or (<=.f64 y.im #s(literal -8499999999999999465331869351936 binary64)) (not (<=.f64 y.im #s(literal 2636713248474717/10141204801825835211973625643008 binary64)))) (/.f64 (+.f64 x.im (.f64 x.re (/.f64 y.re y.im))) y.im) (/.f64 (+.f64 x.re (/.f64 (.f64 x.im y.im) y.re)) y.re))
(if (<=.f64 y.im #s(literal -7899999999999999622286080475136 binary64)) (/.f64 (+.f64 x.im (.f64 x.re (/.f64 y.re y.im))) y.im) (if (<=.f64 y.im #s(literal 735237348132373/2535301200456458802993406410752 binary64)) (/.f64 (+.f64 x.re (.f64 x.im (/.f64 y.im y.re))) y.re) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)))
(if (or (<=.f64 y.im #s(literal -7899999999999999622286080475136 binary64)) (not (<=.f64 y.im #s(literal 735237348132373/2535301200456458802993406410752 binary64)))) (/.f64 (+.f64 x.im (.f64 x.re (/.f64 y.re y.im))) y.im) (/.f64 (+.f64 x.re (.f64 x.im (/.f64 y.im y.re))) y.re))
(if (<=.f64 y.im #s(literal -2219999999999999982219372265472 binary64)) (/.f64 (+.f64 x.im (.f64 x.re (/.f64 y.re y.im))) y.im) (if (<=.f64 y.im #s(literal 4673067172681345/10384593717069655257060992658440192 binary64)) (/.f64 x.re y.re) (/.f64 (+.f64 x.im (.f64 x.re (/.f64 y.re y.im))) y.im)))
(if (or (<=.f64 y.im #s(literal -2219999999999999982219372265472 binary64)) (not (<=.f64 y.im #s(literal 4673067172681345/10384593717069655257060992658440192 binary64)))) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im) (/.f64 x.re y.re))
(if (<=.f64 y.im #s(literal -13600000000000000945970841911296 binary64)) (/.f64 x.im y.im) (if (<=.f64 y.im #s(literal 860000000000000 binary64)) (/.f64 x.re y.re) (/.f64 x.im y.im)))
(if (or (<=.f64 y.im #s(literal -13600000000000000945970841911296 binary64)) (not (<=.f64 y.im #s(literal 860000000000000 binary64)))) (/.f64 x.im y.im) (/.f64 x.re y.re))
(/.f64 x.im y.im)

soundness1.5s (11.7%)

Memory

0.6MiB live, 1 315.9MiB allocated

Rules

855×	`fma-define`
819×	`log1p-expm1-u`
819×	`expm1-log1p-u`
631×	`*-commutative`
533×	`distribute-lft-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	2072	59033
1	6423	57335
0	1602	39183
1	4301	37613
0	606	13204
1	1504	12488
2	4849	12428
0	18	153
1	254	143
2	3547	143

Stop Event

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

Compiler

Compiled 531 to 176 computations (66.9% saved)

preprocess80.0ms (0.6%)

Memory: 19.0MiB live, 97.2MiB allocated
Compiler: Compiled 550 to 190 computations (65.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze179.0ms (1.4%)

sample1.7s (13%)

preprocess472.0ms (3.7%)

explain249.0ms (1.9%)

eval0.0ms (0%)

prune2.0ms (0%)

simplify8.0ms (0.1%)

localize32.0ms (0.3%)

series24.0ms (0.2%)

rewrite287.0ms (2.2%)

simplify193.0ms (1.5%)

eval247.0ms (1.9%)

prune64.0ms (0.5%)

simplify53.0ms (0.4%)

localize168.0ms (1.3%)

series70.0ms (0.5%)

rewrite247.0ms (1.9%)

simplify423.0ms (3.3%)

eval753.0ms (5.8%)

prune470.0ms (3.6%)

simplify165.0ms (1.3%)

localize97.0ms (0.7%)

series154.0ms (1.2%)

rewrite278.0ms (2.2%)

simplify846.0ms (6.6%)

eval877.0ms (6.8%)

prune513.0ms (4%)

simplify89.0ms (0.7%)

localize317.0ms (2.5%)

series99.0ms (0.8%)

rewrite267.0ms (2.1%)

simplify507.0ms (3.9%)

eval126.0ms (1%)

prune690.0ms (5.4%)

regimes105.0ms (0.8%)

regimes28.0ms (0.2%)

regimes24.0ms (0.2%)

regimes11.0ms (0.1%)

regimes7.0ms (0.1%)

regimes135.0ms (1%)

regimes13.0ms (0.1%)

regimes7.0ms (0.1%)

bsearch0.0ms (0%)

bsearch98.0ms (0.8%)

bsearch93.0ms (0.7%)

bsearch31.0ms (0.2%)

bsearch31.0ms (0.2%)

bsearch33.0ms (0.3%)

bsearch34.0ms (0.3%)

simplify8.0ms (0.1%)

soundness1.5s (11.7%)

preprocess80.0ms (0.6%)

end0.0ms (0%)

Profiling