Metrics for _divideComplex, real part

analyze35.0ms (0.3%)

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 20 to 12 computations (40% saved)

Precisions

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

ival-mult: 11.0ms (66.5% of total)

ival-add: 4.0ms (24.2% of total)

ival-div: 1.0ms (6% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

sample1.3s (9.5%)

Results

776.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 440.0ms

ival-mult: 270.0ms (61.3% of total)

ival-add: 106.0ms (24.1% of total)

ival-div: 55.0ms (12.5% of total)

const: 7.0ms (1.6% of total)

backward-pass: 2.0ms (0.5% of total)

Bogosity

preprocess409.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

1573×	`fma-neg`
912×	`fma-define`
864×	`times-frac`
552×	`div-sub`
333×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	976
1	162	976
2	263	976
3	486	976
4	1176	976
5	3121	976
6	4441	976
7	5612	976
8	6468	976
9	6875	976
10	7003	976
11	7173	976
12	7627	976
13	7627	976
14	7627	976
15	7627	976
16	7987	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)))

explain302.0ms (2.3%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
114	-	1	(4.768221583270556e-302 -3.287079643680991e-109 -8.83658942800243e-114 -6.680021818408537e-211)	`(/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))`
5	-	0	-	`(+.f64 (.f64 x.re y.re) (.f64 x.im y.im))`
0	-	0	-	`x.im`
0	-	0	-	`y.im`
0	-	0	-	`(*.f64 x.im y.im)`
0	-	0	-	`y.re`
0	-	0	-	`x.re`
0	-	0	-	`(*.f64 y.im y.im)`
0	-	0	-	`(*.f64 x.re y.re)`
0	-	0	-	`(*.f64 y.re y.re)`
0	-	0	-	`(+.f64 (.f64 y.re y.re) (.f64 y.im y.im))`

Results

57.0ms

512×

valid

Compiler

Compiled 119 to 35 computations (70.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-mult: 15.0ms (62% of total)

ival-add: 5.0ms (20.7% of total)

ival-div: 3.0ms (12.4% of total)

const: 1.0ms (4.1% of total)

backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 17 to 9 computations (47.1% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	57.8%	(/.f64 (fma.f64 x.re y.re (.f64 x.im y.im)) (fma.f64 y.re y.re (.f64 y.im y.im)))
▶	57.8%	(/.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 36 to 20 computations (44.4% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Program
✓	cost-diff	(fma.f64 y.re y.re (*.f64 y.im y.im))
✓	cost-diff	(*.f64 x.im y.im)
✓	cost-diff	(fma.f64 x.re y.re (*.f64 x.im y.im))
✓	cost-diff	(/.f64 (fma.f64 x.re y.re (.f64 x.im y.im)) (fma.f64 y.re y.re (.f64 y.im y.im)))
✓	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	22	336
1	26	336
2	30	336

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

localize152.0ms (1.1%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x.im y.im)
✓	accuracy	100.0%	(fma.f64 y.re y.re (*.f64 y.im y.im))
✓	accuracy	98.8%	(fma.f64 x.re y.re (*.f64 x.im y.im))
✓	accuracy	58.2%	(/.f64 (fma.f64 x.re y.re (.f64 x.im y.im)) (fma.f64 y.re y.re (.f64 y.im y.im)))
✓	accuracy	100.0%	(*.f64 x.im y.im)
✓	accuracy	100.0%	(+.f64 (.f64 y.re y.re) (.f64 y.im y.im))
✓	accuracy	98.4%	(+.f64 (.f64 x.re y.re) (.f64 x.im y.im))
✓	accuracy	58.2%	(/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))

Results

135.0ms

256×

valid

Compiler

Compiled 85 to 15 computations (82.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 115.0ms

ival-div: 97.0ms (84.5% of total)

ival-mult: 8.0ms (7% of total)

ival-fma: 6.0ms (5.2% of total)

ival-add: 4.0ms (3.5% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series37.0ms (0.3%)

Counts

10 → 264

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

Calls

78 calls:

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

rewrite332.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

822×	`log1p-expm1-u`
822×	`expm1-log1p-u`
503×	`fma-define`
241×	`fma-neg`
218×	`expm1-undefine`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	260
1	267	240
2	3561	240

Stop Event

1×	node limit

Counts

10 → 322

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

simplify290.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

592×	`cancel-sign-sub-inv`
532×	`distribute-lft-neg-in`
474×	`distribute-rgt-neg-in`
338×	`fma-neg`
254×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	608	24150
1	1506	22778
2	4822	22658

Stop Event

1×	node limit

Counts

586 → 338

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

eval43.0ms (0.3%)

Compiler: Compiled 6985 to 1205 computations (82.7% saved)

prune65.0ms (0.5%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	352	14	366
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	353	15	368

Accuracy

99.7%

Counts

368 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.0%	(/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) y.re)
	57.5%	(/.f64 (+.f64 (pow.f64 (cbrt.f64 (.f64 x.re y.re)) #s(literal 3 binary64)) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
✓	57.8%	(/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
	49.7%	(/.f64 (+.f64 x.re (/.f64 (*.f64 y.im x.im) y.re)) y.re)
▶	53.9%	(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
	54.8%	(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
▶	36.6%	(/.f64 (.f64 y.im x.im) (fma.f64 y.re y.re (.f64 y.im y.im)))
▶	47.7%	(/.f64 (.f64 x.im (+.f64 y.im (.f64 x.re (/.f64 y.re x.im)))) (fma.f64 y.re y.re (*.f64 y.im y.im)))
	40.0%	(/.f64 x.re y.re)
▶	43.8%	(/.f64 x.im y.im)
	45.2%	(+.f64 (/.f64 x.re y.re) (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
	50.0%	(+.f64 (/.f64 x.im y.im) (*.f64 x.re (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))
▶	73.8%	(.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)))
	36.3%	(*.f64 y.re (/.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
	38.4%	(*.f64 y.im (/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))

Compiler

Compiled 413 to 257 computations (37.8% saved)

simplify306.0ms (2.3%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(*.f64 y.im y.im)
	cost-diff	0	(fma.f64 y.re y.re (*.f64 y.im y.im))
✓	cost-diff	0	(/.f64 y.re x.im)
✓	cost-diff	0	(*.f64 x.re (/.f64 y.re x.im))
	cost-diff	0	(*.f64 y.im y.im)
	cost-diff	0	(fma.f64 y.re y.re (*.f64 y.im y.im))
✓	cost-diff	0	(*.f64 y.im x.im)
✓	cost-diff	0	(/.f64 (.f64 y.im x.im) (fma.f64 y.re y.re (.f64 y.im y.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	6528	(.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

2158×	`associate-r`
1446×	`associate-l`
1248×	`associate-/l/`
630×	`fma-define`
433×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	33	674
1	66	650
2	114	650
3	231	642
4	417	642
5	805	642
6	2160	642
7	3019	642
8	3265	642
9	3377	642
10	3412	642
11	3418	642
12	3418	642
13	4106	642
14	4307	642
15	4408	642
16	4462	642
17	4490	642
18	4490	642
19	4490	642
20	5252	642
21	5383	642
22	5460	642
23	5460	642

Stop Event

1×	node limit

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

localize126.0ms (0.9%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(fma.f64 y.re y.re (*.f64 y.im y.im))
✓	accuracy	94.3%	(*.f64 x.re (/.f64 y.re x.im))
✓	accuracy	90.0%	(.f64 x.im (+.f64 y.im (.f64 x.re (/.f64 y.re x.im))))
✓	accuracy	58.2%	(/.f64 (.f64 x.im (+.f64 y.im (.f64 x.re (/.f64 y.re x.im)))) (fma.f64 y.re y.re (*.f64 y.im y.im)))
	accuracy	100.0%	(*.f64 y.im y.im)
✓	accuracy	100.0%	(*.f64 y.im x.im)
	accuracy	100.0%	(fma.f64 y.re y.re (*.f64 y.im y.im))
✓	accuracy	70.4%	(/.f64 (.f64 y.im x.im) (fma.f64 y.re y.re (.f64 y.im y.im)))
✓	accuracy	100.0%	(+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im))
	accuracy	100.0%	(*.f64 x.re y.re)
✓	accuracy	98.8%	(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
✓	accuracy	90.5%	(/.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	98.8%	(fma.f64 x.re y.re (*.f64 x.im y.im))
✓	accuracy	74.8%	(/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))

Results

94.0ms

256×

valid

Compiler

Compiled 164 to 26 computations (84.1% saved)

Precisions

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

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

ival-mult: 14.0ms (29.1% of total)

ival-fma: 7.0ms (14.6% of total)

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

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

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series83.0ms (0.6%)

Counts

14 → 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 (.f64 y.im x.im) (fma.f64 y.re y.re (.f64 y.im y.im)))>
#<alt (*.f64 y.im x.im)>
#<alt (*.f64 x.re (/.f64 y.re x.im))>
#<alt (/.f64 y.re x.im)>
#<alt (/.f64 (.f64 x.im (+.f64 y.im (.f64 x.re (/.f64 y.re x.im)))) (fma.f64 y.re y.re (*.f64 y.im y.im)))>
#<alt (.f64 x.im (+.f64 y.im (.f64 x.re (/.f64 y.re x.im))))>

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))))>
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#<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 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.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)))))>
#<alt (*.f64 x.im y.im)>
#<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.re y.re)>
#<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 (+.f64 y.re (/.f64 (.f64 x.im y.im) x.re)))>
#<alt (*.f64 x.re y.re)>
#<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)))))>
#<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)))))>
#<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)))))>
#<alt (*.f64 x.im y.im)>
#<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.re y.re)>
#<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 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)))))>

Calls

129 calls:

Time	Variable		Point	Expression
5.0ms	y.im	@	-inf	(* x.im (+ y.im (* x.re (/ y.re x.im))))
4.0ms	x.im	@	-inf	(+ x.im (/ (* x.re y.re) y.im))
4.0ms	y.re	@	0	(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))))

rewrite158.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	438
1	569	407

Stop Event

1×	node limit

Counts

14 → 451

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

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

simplify680.0ms (5.1%)

Algorithm

1×	egg-herbie

Rules

898×	`times-frac`
793×	`fma-define`
428×	`*-commutative`
213×	`distribute-rgt-neg-in`
207×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1506	40479
1	4136	38541

Stop Event

1×	node limit

Counts

865 → 945

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

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

eval323.0ms (2.4%)

Compiler: Compiled 25479 to 3928 computations (84.6% saved)

prune328.0ms (2.5%)

Pruning

26 alts after pruning (22 fresh and 4 done)

	Pruned	Kept	Total
New	1201	18	1219
Fresh	5	4	9
Picked	2	3	5
Done	0	1	1
Total	1208	26	1234

Accuracy

99.9%

Counts

1234 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.0%	(/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) y.re)
	20.9%	(/.f64 (/.f64 (*.f64 x.re y.re) y.im) y.im)
✓	57.8%	(/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
	49.7%	(/.f64 (+.f64 x.re (/.f64 (*.f64 y.im x.im) y.re)) y.re)
	53.0%	(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
	55.1%	(/.f64 (+.f64 x.im (*.f64 (/.f64 y.re #s(literal 1 binary64)) (/.f64 x.re y.im))) y.im)
▶	54.8%	(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
✓	36.6%	(/.f64 (.f64 y.im x.im) (fma.f64 y.re y.re (.f64 y.im y.im)))
	36.6%	(/.f64 (*.f64 y.im x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
	21.7%	(/.f64 (*.f64 x.re (/.f64 y.re y.im)) y.im)
✓	47.7%	(/.f64 (.f64 x.im (+.f64 y.im (.f64 x.re (/.f64 y.re x.im)))) (fma.f64 y.re y.re (*.f64 y.im y.im)))
▶	40.0%	(/.f64 x.re y.re)
✓	43.8%	(/.f64 x.im y.im)
	53.9%	(/.f64 #s(literal 1 binary64) (/.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im)))
	42.9%	(/.f64 #s(literal 1 binary64) (/.f64 y.im x.im))
	72.8%	(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (hypot.f64 y.re y.im))) #s(literal 3 binary64)) (/.f64 (fma.f64 x.re y.re (.f64 x.im y.im)) (hypot.f64 y.re y.im)))
▶	77.0%	(*.f64 (/.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im) (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)))
	57.5%	(*.f64 (/.f64 y.im (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)))
	44.2%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (.f64 y.re x.re) (hypot.f64 y.re y.im)))
	30.4%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (+.f64 x.re (.f64 x.im (/.f64 y.im y.re))))
▶	30.8%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (.f64 #s(literal -1 binary64) (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re)))))
	28.4%	(*.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)))
	26.7%	(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) x.re)
▶	19.1%	(*.f64 x.re (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))))
	17.4%	(*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))))
	43.6%	(*.f64 x.im (/.f64 #s(literal 1 binary64) y.im))

Compiler

Compiled 662 to 421 computations (36.4% saved)

simplify101.0ms (0.8%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Rules

643×	`fma-define`
528×	`distribute-frac-neg`
473×	`fma-neg`
413×	`unsub-neg`
393×	`div-sub`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	35	631
1	76	605
2	176	605
3	431	598
4	844	598
5	1549	598
6	2760	589
7	4572	589

Stop Event

1×	node limit

Calls

Call 1

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

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

localize128.0ms (1%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
✓	accuracy	100.0%	(+.f64 x.re (*.f64 x.im (/.f64 y.im y.re)))
✓	accuracy	93.4%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (.f64 #s(literal -1 binary64) (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re)))))
✓	accuracy	92.0%	(*.f64 x.im (/.f64 y.im y.re))
✓	accuracy	100.0%	(pow.f64 y.im #s(literal 2 binary64))
✓	accuracy	89.5%	(*.f64 x.re (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))))
✓	accuracy	88.5%	(/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))
✓	accuracy	100.0%	(/.f64 y.re y.im)
✓	accuracy	100.0%	(+.f64 x.im (*.f64 x.re (/.f64 y.re y.im)))
✓	accuracy	98.8%	(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
✓	accuracy	94.2%	(*.f64 x.re (/.f64 y.re y.im))
✓	accuracy	100.0%	(/.f64 x.re y.re)
✓	accuracy	100.0%	(/.f64 x.im (hypot.f64 y.re y.im))
✓	accuracy	96.6%	(fma.f64 x.re (/.f64 y.re x.im) y.im)
✓	accuracy	90.3%	(/.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im) (hypot.f64 y.re y.im))
✓	accuracy	86.9%	(*.f64 (/.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im) (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)))

Results

92.0ms

256×

valid

Compiler

Compiled 157 to 28 computations (82.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-div: 16.0ms (32.3% of total)

ival-hypot: 14.0ms (28.2% of total)

ival-mult: 10.0ms (20.2% of total)

ival-add: 3.0ms (6% of total)

ival-fma: 3.0ms (6% of total)

ival-pow: 3.0ms (6% of total)

const: 1.0ms (2% of total)

backward-pass: 0.0ms (0% of total)

series145.0ms (1.1%)

Counts

16 → 480

Calls

Call 1

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

Outputs
#<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 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 (*.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)))))))>
#<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 #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 (+.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 (+.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 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))>
#<alt (+.f64 x.re (/.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 x.re (/.f64 (*.f64 x.im y.im) y.re))>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.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 x.re (/.f64 (*.f64 x.im y.im) y.re))>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.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 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))>
#<alt x.re>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))>
#<alt (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re))>

Calls

147 calls:

Time	Variable		Point	Expression
70.0ms	y.im	@	0	(+ x.im (* x.re (/ y.re y.im)))
13.0ms	y.im	@	0	(* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* -1 (+ x.re (* x.im (/ y.im y.re)))))
1.0ms	x.re	@	0	(* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* -1 (+ x.re (* x.im (/ y.im y.re)))))
1.0ms	x.re	@	-inf	(* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* -1 (+ x.re (* x.im (/ y.im y.re)))))
1.0ms	x.re	@	inf	(* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* -1 (+ x.re (* x.im (/ y.im y.re)))))

rewrite525.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

263×	`associate-r`
263×	`log1p-expm1-u`
263×	`expm1-log1p-u`
261×	`add-cube-cbrt`
260×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	461
1	578	429

Stop Event

1×	node limit

Counts

16 → 489

Calls

Call 1

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

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

simplify441.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

870×	`times-frac`
787×	`fma-define`
421×	`*-commutative`
207×	`neg-sub0`
200×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1559	41642
1	4270	39859

Stop Event

1×	node limit

Counts

969 → 973

Calls

Call 1

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

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

eval181.0ms (1.4%)

Compiler: Compiled 29376 to 4561 computations (84.5% saved)

prune431.0ms (3.2%)

Pruning

35 alts after pruning (30 fresh and 5 done)

	Pruned	Kept	Total
New	1329	16	1345
Fresh	3	14	17
Picked	4	1	5
Done	0	4	4
Total	1336	35	1371

Accuracy

100.0%

Counts

1371 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	30.4%	(/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) (hypot.f64 y.re y.im))
	53.0%	(/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) y.re)
▶	20.9%	(/.f64 (/.f64 (*.f64 x.re y.re) y.im) y.im)
	77.0%	(/.f64 (/.f64 x.im (hypot.f64 y.re y.im)) (/.f64 (hypot.f64 y.re y.im) (fma.f64 x.re (/.f64 y.re x.im) y.im)))
✓	57.8%	(/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
	49.7%	(/.f64 (+.f64 x.re (/.f64 (*.f64 y.im x.im) y.re)) y.re)
	50.3%	(/.f64 (+.f64 x.re (-.f64 (.f64 x.im (/.f64 y.im y.re)) (.f64 x.re (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64))))) y.re)
	53.0%	(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
	54.8%	(/.f64 (+.f64 x.im (/.f64 x.re (/.f64 y.im y.re))) y.im)
	51.7%	(/.f64 (+.f64 x.im (-.f64 (-.f64 (.f64 x.re (/.f64 y.re y.im)) (.f64 x.re (pow.f64 (/.f64 y.re y.im) #s(literal 3 binary64)))) (*.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))))) y.im)
	55.1%	(/.f64 (+.f64 x.im (*.f64 (/.f64 y.re #s(literal 1 binary64)) (/.f64 x.re y.im))) y.im)
	54.6%	(/.f64 (+.f64 x.im (*.f64 x.re (pow.f64 (cbrt.f64 (/.f64 y.re y.im)) #s(literal 3 binary64)))) y.im)
	54.8%	(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 #s(literal 1 binary64) (/.f64 y.im y.re)))) y.im)
✓	36.6%	(/.f64 (.f64 y.im x.im) (fma.f64 y.re y.re (.f64 y.im y.im)))
	36.6%	(/.f64 (*.f64 y.im x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
	21.7%	(/.f64 (*.f64 x.re (/.f64 y.re y.im)) y.im)
✓	47.7%	(/.f64 (.f64 x.im (+.f64 y.im (.f64 x.re (/.f64 y.re x.im)))) (fma.f64 y.re y.re (*.f64 y.im y.im)))
▶	9.9%	(/.f64 x.re (neg.f64 y.re))
✓	40.0%	(/.f64 x.re y.re)
✓	43.8%	(/.f64 x.im y.im)
	42.9%	(/.f64 #s(literal 1 binary64) (/.f64 y.im x.im))
	7.0%	(-.f64 (/.f64 (neg.f64 x.im) y.re) (/.f64 x.re y.im))
	6.5%	(+.f64 (/.f64 x.im y.re) (/.f64 x.re y.im))
	25.6%	(.f64 (fma.f64 #s(literal -1 binary64) (.f64 (/.f64 x.re x.im) (/.f64 y.re y.im)) #s(literal -1 binary64)) (/.f64 x.im (hypot.f64 y.re y.im)))
▶	77.0%	(.f64 (/.f64 (+.f64 (.f64 x.re (/.f64 y.re x.im)) y.im) (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)))
	57.5%	(*.f64 (/.f64 y.im (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)))
	44.2%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (.f64 y.re x.re) (hypot.f64 y.re y.im)))
	28.4%	(*.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)))
	26.7%	(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) x.re)
▶	52.8%	(.f64 (/.f64 #s(literal -1 binary64) y.re) (.f64 #s(literal -1 binary64) (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re)))))
	28.3%	(*.f64 (+.f64 (/.f64 x.re x.im) (/.f64 y.im y.re)) (/.f64 x.im (hypot.f64 y.re y.im)))
	19.1%	(.f64 x.re (/.f64 y.re (.f64 y.im y.im)))
	39.9%	(*.f64 x.re (/.f64 #s(literal 1 binary64) y.re))
	17.4%	(*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))))
	43.6%	(*.f64 x.im (/.f64 #s(literal 1 binary64) y.im))

Compiler

Compiled 929 to 578 computations (37.8% saved)

simplify89.0ms (0.7%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(hypot.f64 y.re y.im)
	cost-diff	0	(/.f64 y.im y.re)
✓	cost-diff	0	(fma.f64 x.im (/.f64 y.im y.re) x.re)
✓	cost-diff	0	(/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) (hypot.f64 y.re y.im))
✓	cost-diff	-6016	(.f64 (/.f64 #s(literal -1 binary64) y.re) (.f64 #s(literal -1 binary64) (+.f64 x.re (*.f64 x.im (/.f64 y.im 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 #s(literal -1 binary64) y.re)
	cost-diff	0	(*.f64 x.re y.re)
	cost-diff	0	(/.f64 (*.f64 x.re y.re) y.im)
✓	cost-diff	0	(/.f64 (/.f64 (*.f64 x.re y.re) y.im) y.im)
✓	cost-diff	0	(neg.f64 y.re)
✓	cost-diff	0	(/.f64 x.re (neg.f64 y.re))
	cost-diff	0	(hypot.f64 y.re y.im)
	cost-diff	0	(/.f64 y.re x.im)
	cost-diff	0	(*.f64 x.re (/.f64 y.re x.im))
✓	cost-diff	256	(.f64 (/.f64 (+.f64 (.f64 x.re (/.f64 y.re x.im)) y.im) (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)))

Rules

744×	`unsub-neg`
557×	`div-sub`
515×	`fma-neg`
329×	`distribute-rgt-neg-out`
282×	`associate-/l*`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	34	621
1	74	617
2	183	611
3	377	607
4	828	607
5	1890	607
6	4437	598
7	7491	598

Stop Event

1×	node limit

Calls

Call 1

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

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

localize115.0ms (0.9%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(hypot.f64 y.re y.im)
	accuracy	100.0%	(/.f64 y.im y.re)
✓	accuracy	94.8%	(fma.f64 x.im (/.f64 y.im y.re) x.re)
✓	accuracy	93.6%	(/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) (hypot.f64 y.re y.im))
✓	accuracy	100.0%	(.f64 #s(literal -1 binary64) (+.f64 x.re (.f64 x.im (/.f64 y.im y.re))))
	accuracy	100.0%	(+.f64 x.re (*.f64 x.im (/.f64 y.im y.re)))
✓	accuracy	99.3%	(.f64 (/.f64 #s(literal -1 binary64) y.re) (.f64 #s(literal -1 binary64) (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re)))))
	accuracy	92.0%	(*.f64 x.im (/.f64 y.im y.re))
	accuracy	100.0%	(*.f64 x.re y.re)
✓	accuracy	96.5%	(/.f64 (/.f64 (*.f64 x.re y.re) y.im) y.im)
	accuracy	90.5%	(/.f64 (*.f64 x.re y.re) y.im)
✓	accuracy	100.0%	(/.f64 x.re (neg.f64 y.re))
✓	accuracy	100.0%	(neg.f64 y.re)
	accuracy	100.0%	(/.f64 x.im (hypot.f64 y.re y.im))
	accuracy	94.3%	(*.f64 x.re (/.f64 y.re x.im))
✓	accuracy	90.3%	(/.f64 (+.f64 (*.f64 x.re (/.f64 y.re x.im)) y.im) (hypot.f64 y.re y.im))
✓	accuracy	86.9%	(.f64 (/.f64 (+.f64 (.f64 x.re (/.f64 y.re x.im)) y.im) (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)))

Results

78.0ms

256×

valid

Compiler

Compiled 157 to 26 computations (83.4% saved)

Precisions

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

ival-div: 19.0ms (46.8% of total)

ival-mult: 10.0ms (24.7% of total)

ival-hypot: 5.0ms (12.3% of total)

ival-add: 3.0ms (7.4% of total)

ival-fma: 3.0ms (7.4% of total)

ival-neg: 1.0ms (2.5% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series46.0ms (0.3%)

Counts

10 → 360

Calls

Call 1

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

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

93 calls:

Time	Variable		Point	Expression
3.0ms	y.re	@	inf	(/ (+ (* x.im (/ y.im y.re)) x.re) (sqrt (+ (* y.re y.re) (* y.im y.im))))
1.0ms	x.im	@	inf	(* (/ -1 y.re) (* -1 (+ x.re (* x.im (/ y.im y.re)))))
1.0ms	x.re	@	inf	(* (/ -1 y.re) (* -1 (+ x.re (* x.im (/ y.im y.re)))))
0.0ms	y.re	@	-inf	(* (/ -1 y.re) (* -1 (+ x.re (* x.im (/ y.im y.re)))))
0.0ms	y.im	@	-inf	(* (/ -1 y.re) (* -1 (+ x.re (* x.im (/ y.im y.re)))))

rewrite351.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

259×	`associate-r`
257×	`log1p-expm1-u`
257×	`expm1-log1p-u`
255×	`add-cube-cbrt`
254×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	328
1	581	295

Stop Event

1×	node limit

Counts

10 → 408

Calls

Call 1

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

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

simplify709.0ms (5.3%)

Algorithm

1×	egg-herbie

Rules

755×	`fma-define`
463×	`associate-*r/`
408×	`associate-*l/`
317×	`*-commutative`
272×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1173	35192
1	3289	33468

Stop Event

1×	node limit

Counts

768 → 712

Calls

Call 1

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

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

eval253.0ms (1.9%)

Compiler: Compiled 28292 to 4339 computations (84.7% saved)

prune380.0ms (2.8%)

Pruning

40 alts after pruning (32 fresh and 8 done)

	Pruned	Kept	Total
New	1378	14	1392
Fresh	7	18	25
Picked	2	3	5
Done	0	5	5
Total	1387	40	1427

Accuracy

100.0%

Counts

1427 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	20.9%	(/.f64 (/.f64 (*.f64 x.re y.re) y.im) y.im)
✓	57.8%	(/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
	30.4%	(/.f64 (+.f64 (*.f64 x.im (/.f64 y.im y.re)) x.re) (hypot.f64 y.re y.im))
	49.7%	(/.f64 (+.f64 x.re (/.f64 (*.f64 y.im x.im) y.re)) y.re)
	50.3%	(/.f64 (+.f64 x.re (-.f64 (.f64 x.im (/.f64 y.im y.re)) (.f64 x.re (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64))))) y.re)
	53.0%	(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
	54.8%	(/.f64 (+.f64 x.im (/.f64 x.re (/.f64 y.im y.re))) y.im)
	51.7%	(/.f64 (+.f64 x.im (-.f64 (-.f64 (.f64 x.re (/.f64 y.re y.im)) (.f64 x.re (pow.f64 (/.f64 y.re y.im) #s(literal 3 binary64)))) (*.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))))) y.im)
	54.6%	(/.f64 (+.f64 x.im (*.f64 x.re (pow.f64 (cbrt.f64 (/.f64 y.re y.im)) #s(literal 3 binary64)))) y.im)
	54.8%	(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 #s(literal 1 binary64) (/.f64 y.im y.re)))) y.im)
	22.1%	(/.f64 (*.f64 (/.f64 y.re #s(literal 1 binary64)) (/.f64 x.re y.im)) y.im)
	12.9%	(/.f64 (.f64 (sqrt.f64 x.re) (.f64 (sqrt.f64 x.re) (/.f64 y.re y.im))) y.im)
	26.0%	(/.f64 (*.f64 y.im (+.f64 (/.f64 x.im y.re) (/.f64 x.re y.im))) (hypot.f64 y.re y.im))
✓	36.6%	(/.f64 (.f64 y.im x.im) (fma.f64 y.re y.re (.f64 y.im y.im)))
	36.6%	(/.f64 (*.f64 y.im x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
	15.9%	(/.f64 (*.f64 x.im (/.f64 y.im y.re)) (hypot.f64 y.re y.im))
✓	47.7%	(/.f64 (.f64 x.im (+.f64 y.im (.f64 x.re (/.f64 y.re x.im)))) (fma.f64 y.re y.re (*.f64 y.im y.im)))
	9.0%	(/.f64 (neg.f64 x.im) y.re)
	26.7%	(/.f64 x.re (hypot.f64 y.re y.im))
✓	9.9%	(/.f64 x.re (neg.f64 y.re))
✓	40.0%	(/.f64 x.re y.re)
	8.6%	(/.f64 x.im y.re)
✓	43.8%	(/.f64 x.im y.im)
	6.5%	(+.f64 (/.f64 x.im y.re) (/.f64 x.re y.im))
	25.6%	(.f64 (fma.f64 #s(literal -1 binary64) (.f64 (/.f64 x.re x.im) (/.f64 y.re y.im)) #s(literal -1 binary64)) (/.f64 x.im (hypot.f64 y.re y.im)))
✓	77.0%	(.f64 (/.f64 (+.f64 (.f64 x.re (/.f64 y.re x.im)) y.im) (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)))
	21.7%	(*.f64 (/.f64 y.re y.im) (/.f64 x.re y.im))
	57.5%	(*.f64 (/.f64 y.im (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)))
	44.2%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (.f64 y.re x.re) (hypot.f64 y.re y.im)))
	28.4%	(*.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)))
	26.7%	(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) x.re)
	44.9%	(.f64 (/.f64 #s(literal -1 binary64) y.re) (.f64 (+.f64 (/.f64 x.im y.re) (/.f64 x.re y.im)) (neg.f64 y.im)))
	21.8%	(.f64 (/.f64 #s(literal -1 binary64) y.re) (.f64 x.im (/.f64 (neg.f64 y.im) y.re)))
	49.4%	(.f64 (/.f64 #s(literal -1 binary64) y.re) (.f64 #s(literal -1 binary64) (+.f64 x.re (pow.f64 (cbrt.f64 (/.f64 (*.f64 x.im y.im) y.re)) #s(literal 3 binary64)))))
	49.6%	(.f64 (/.f64 #s(literal -1 binary64) y.re) (.f64 #s(literal -1 binary64) (+.f64 x.re (/.f64 #s(literal 1 binary64) (/.f64 y.re (*.f64 x.im y.im))))))
	51.6%	(.f64 (/.f64 #s(literal -1 binary64) y.re) (.f64 #s(literal -1 binary64) (+.f64 x.re (*.f64 (/.f64 x.im y.re) y.im))))
	28.3%	(*.f64 (+.f64 (/.f64 x.re x.im) (/.f64 y.im y.re)) (/.f64 x.im (hypot.f64 y.re y.im)))
	19.1%	(.f64 x.re (/.f64 y.re (.f64 y.im y.im)))
	39.9%	(*.f64 x.re (/.f64 #s(literal 1 binary64) y.re))
	17.4%	(*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))))

Compiler

Compiled 1262 to 544 computations (56.9% saved)

regimes106.0ms (0.8%)

Counts

64 → 2

Calls

Call 1

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

Calls

5 calls:

21.0ms	y.im
20.0ms	x.im
20.0ms	y.re
19.0ms	(/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
19.0ms	x.re

Results

Accuracy	Segments	Branch
80.5%	3	`x.re`
88.4%	3	`x.im`
90.5%	4	`y.re`
90.8%	6	`y.im`
90.0%	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)

regimes231.0ms (1.7%)

Counts

60 → 4

Calls

Call 1

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

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

Calls

3 calls:

191.0ms	y.re
18.0ms	x.im
16.0ms	(/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))

Results

Accuracy	Segments	Branch
84.5%	3	`x.im`
89.9%	4	`y.re`
81.1%	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 29 to 19 computations (34.5% saved)

regimes172.0ms (1.3%)

Counts

57 → 5

Calls

Call 1

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

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

Calls

3 calls:

132.0ms	y.re
19.0ms	x.im
16.0ms	y.im

Results

Accuracy	Segments	Branch
72.4%	4	`x.im`
82.0%	3	`y.im`
86.8%	5	`y.re`

Compiler

Compiled 15 to 12 computations (20% saved)

regimes21.0ms (0.2%)

Counts

54 → 5

Calls

Call 1

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

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

Calls

1 calls:

17.0ms

y.re

Results

Accuracy	Segments	Branch
86.8%	5	`y.re`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes16.0ms (0.1%)

Counts

38 → 5

Calls

Call 1

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

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

Calls

1 calls:

13.0ms

y.re

Results

Accuracy	Segments	Branch
86.7%	5	`y.re`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes21.0ms (0.2%)

Counts

32 → 5

Calls

Call 1

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

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

Calls

1 calls:

18.0ms

y.re

Results

Accuracy	Segments	Branch
86.7%	5	`y.re`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes21.0ms (0.2%)

Counts

27 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

10.0ms	y.im
8.0ms	y.re

Results

Accuracy	Segments	Branch
81.0%	3	`y.im`
81.2%	3	`y.re`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes16.0ms (0.1%)

Counts

24 → 3

Calls

Call 1

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

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

Calls

2 calls:

7.0ms	y.re
7.0ms	y.im

Results

Accuracy	Segments	Branch
81.0%	3	`y.im`
80.7%	3	`y.re`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes70.0ms (0.5%)

Counts

22 → 3

Calls

Call 1

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

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

Calls

2 calls:

62.0ms	y.im
7.0ms	y.re

Results

Accuracy	Segments	Branch
80.7%	3	`y.re`
80.7%	3	`y.im`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes20.0ms (0.2%)

Counts

18 → 3

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
60.3%	3	`x.re`
72.9%	3	`y.im`
75.0%	3	`y.re`

Compiler

Compiled 15 to 12 computations (20% saved)

regimes12.0ms (0.1%)

Counts

17 → 3

Calls

Call 1

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

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

Calls

1 calls:

10.0ms

y.re

Results

Accuracy	Segments	Branch
74.7%	3	`y.re`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes6.0ms (0%)

Counts

16 → 3

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

y.re

Results

Accuracy	Segments	Branch
74.7%	3	`y.re`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes85.0ms (0.6%)

Counts

15 → 3

Calls

Call 1

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

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

Calls

3 calls:

74.0ms	y.im
5.0ms	y.re
5.0ms	x.im

Results

Accuracy	Segments	Branch
51.1%	3	`x.im`
66.5%	3	`y.im`
66.2%	3	`y.re`

Compiler

Compiled 15 to 12 computations (20% saved)

regimes7.0ms (0%)

Accuracy

Total -24.2b remaining (-67.2%)

Threshold costs -24.2b (-67.2%)

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

Results

Accuracy	Segments	Branch
43.8%	1	`x.im`
43.8%	1	`x.re`
43.8%	1	`y.re`
43.8%	1	`y.im`

Compiler

Compiled 20 to 16 computations (20% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.5613371068798085e+251	2.52413208240415e+264

Compiler

Compiled 26 to 17 computations (34.6% saved)

bsearch57.0ms (0.4%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
14.0ms	1.1778768119762365e+115	3.4651978516107425e+116
18.0ms	-4.016228585433023e-106	-5.610667104092171e-112
20.0ms	-5.208314361434291e+78	-9.663957223411868e+62

Results

36.0ms

416×

valid

Compiler

Compiled 1050 to 627 computations (40.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 12.0ms (55.7% of total)

ival-add: 6.0ms (27.9% of total)

ival-div: 3.0ms (13.9% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch224.0ms (1.7%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
20.0ms	2.9794286467132107e+142	7.980174316369919e+155
166.0ms	3.2106885859697993e-52	3.7977294724376307e-47
7.0ms	-8.83658942800243e-114	-4.728164221129646e-114
20.0ms	-5.208314361434291e+78	-9.663957223411868e+62

Results

45.0ms

528×

valid

Compiler

Compiled 1196 to 738 computations (38.3% saved)

Precisions

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

ival-mult: 18.0ms (66.9% of total)

ival-add: 5.0ms (18.6% of total)

ival-div: 4.0ms (14.9% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch87.0ms (0.7%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
35.0ms	2.9794286467132107e+142	7.980174316369919e+155
20.0ms	3.2106885859697993e-52	3.7977294724376307e-47
7.0ms	-8.83658942800243e-114	-4.728164221129646e-114
20.0ms	-5.208314361434291e+78	-9.663957223411868e+62

Results

64.0ms

528×

valid

Compiler

Compiled 1234 to 776 computations (37.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-mult: 17.0ms (65.2% of total)

ival-add: 5.0ms (19.2% of total)

ival-div: 3.0ms (11.5% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch202.0ms (1.5%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
153.0ms	2.9794286467132107e+142	7.980174316369919e+155
17.0ms	3.2106885859697993e-52	3.7977294724376307e-47
8.0ms	-8.83658942800243e-114	-4.728164221129646e-114
19.0ms	-5.208314361434291e+78	-9.663957223411868e+62

Results

180.0ms

528×

valid

Compiler

Compiled 1204 to 756 computations (37.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 162.0ms

ival-div: 140.0ms (86.4% of total)

ival-mult: 17.0ms (10.5% of total)

ival-add: 5.0ms (3.1% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch70.0ms (0.5%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
19.0ms	2.9794286467132107e+142	7.980174316369919e+155
18.0ms	3.2106885859697993e-52	3.7977294724376307e-47
7.0ms	-8.83658942800243e-114	-4.728164221129646e-114
20.0ms	-5.208314361434291e+78	-9.663957223411868e+62

Results

47.0ms

528×

valid

Compiler

Compiled 1214 to 766 computations (36.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-mult: 15.0ms (61.6% of total)

ival-add: 5.0ms (20.5% of total)

ival-div: 3.0ms (12.3% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch108.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
99.0ms	3.2106885859697993e-52	3.7977294724376307e-47
7.0ms	-2492841.8255376997	-1510063.6239912016

Results

99.0ms

208×

valid

Compiler

Compiled 432 to 289 computations (33.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 92.0ms

ival-mult: 89.0ms (96.4% of total)

ival-add: 2.0ms (2.2% of total)

ival-div: 1.0ms (1.1% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch28.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.4992731256254843e-153	8.496671070886871e-150
11.0ms	-1.4579858283499728e-17	-1.5924882055027537e-18

Results

18.0ms

224×

valid

Compiler

Compiled 434 to 285 computations (34.3% saved)

Precisions

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

ival-mult: 7.0ms (67.1% of total)

ival-add: 2.0ms (19.2% of total)

ival-div: 1.0ms (9.6% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch31.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	3.2106885859697993e-52	3.7977294724376307e-47
7.0ms	-2492841.8255376997	-1510063.6239912016

Results

22.0ms

208×

valid

Compiler

Compiled 390 to 251 computations (35.6% saved)

Precisions

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

ival-mult: 6.0ms (61.8% of total)

ival-add: 2.0ms (20.6% of total)

ival-div: 1.0ms (10.3% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch22.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	3.4651978516107425e+116	3.6695843527752225e+117
7.0ms	-2492841.8255376997	-1510063.6239912016

Results

15.0ms

160×

valid

Compiler

Compiled 246 to 167 computations (32.1% saved)

Precisions

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

ival-mult: 5.0ms (51.4% of total)

ival-add: 4.0ms (41.2% of total)

ival-div: 1.0ms (10.3% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch22.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	3.4651978516107425e+116	3.6695843527752225e+117
7.0ms	-2492841.8255376997	-1510063.6239912016

Results

13.0ms

160×

valid

Compiler

Compiled 246 to 167 computations (32.1% saved)

Precisions

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

ival-mult: 5.0ms (63.9% of total)

ival-add: 2.0ms (25.6% of total)

ival-div: 1.0ms (12.8% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch20.0ms (0.1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	3.4651978516107425e+116	3.6695843527752225e+117
7.0ms	-2492841.8255376997	-1510063.6239912016

Results

13.0ms

160×

valid

Compiler

Compiled 246 to 167 computations (32.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 5.0ms (68% of total)

ival-div: 1.0ms (13.6% of total)

ival-add: 1.0ms (13.6% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch23.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	7.05552376829439e-157	3.1542757387773224e-156
11.0ms	-1.4579858283499728e-17	-1.5924882055027537e-18

Results

15.0ms

192×

valid

Compiler

Compiled 218 to 161 computations (26.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 5.0ms (58.1% of total)

ival-add: 2.0ms (23.2% of total)

ival-div: 1.0ms (11.6% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

simplify128.0ms (1%)

Algorithm

1×	egg-herbie

Rules

21×	`*-commutative`
20×	`+-commutative`
12×	`neg-sub0`
11×	`sub-neg`
11×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	162	2483
1	205	2483
2	214	2483
3	234	2483
4	254	2483
5	272	2483
6	282	2483
7	289	2483

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 200000000000000009655823040897755724991688492844686312786150858374325529235015311074428291647705988527319131870906741220999075456086329715600792597832264821896052782616171141921272736618612235758357506491949112630604620500944543457696353904452597448704 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 (+.f64 (.f64 x.re (/.f64 y.re x.im)) y.im) (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im))))
(if (<=.f64 y.re #s(literal -5500000000000000098136935301581055186161571540210386668132990865914753712128 binary64)) (.f64 (/.f64 #s(literal -1 binary64) y.re) (.f64 #s(literal -1 binary64) (+.f64 x.re (.f64 (/.f64 x.im y.re) y.im)))) (if (<=.f64 y.re #s(literal -3925019814692101/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504 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.re #s(literal 78000000000000001213634458098413755892919708959842791802842105273605034930850944854668860413373700918744089907691520 binary64)) (.f64 (/.f64 (+.f64 (.f64 x.re (/.f64 y.re x.im)) y.im) (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im))) (/.f64 (+.f64 (.f64 x.im (/.f64 y.im y.re)) x.re) (hypot.f64 y.re y.im)))))
(if (<=.f64 y.re #s(literal -1400000000000000057849498072972706047108533735395515294388004365971790757888 binary64)) (.f64 (/.f64 #s(literal -1 binary64) y.re) (.f64 #s(literal -1 binary64) (+.f64 x.re (.f64 (/.f64 x.im y.re) y.im)))) (if (<=.f64 y.re #s(literal -4713538480005385/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456 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.re #s(literal 2653869750047641/210624583337114373395836055367340864637790190801098222508621955072 binary64)) (/.f64 (+.f64 x.im (.f64 (/.f64 y.re #s(literal 1 binary64)) (/.f64 x.re y.im))) y.im) (if (<=.f64 y.re #s(literal 29999999999999997463140672961703247153805615792184250659629251954072073858354858644285983761764971823910371920726635399393477049701891710124032 binary64)) (/.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.im (/.f64 y.im y.re)) x.re) (hypot.f64 y.re y.im))))))
(if (<=.f64 y.re #s(literal -5499999999999999985149104064620801437117361922472391178290592865562132480 binary64)) (.f64 (/.f64 #s(literal -1 binary64) y.re) (.f64 #s(literal -1 binary64) (+.f64 x.re (.f64 (/.f64 x.im y.re) y.im)))) (if (<=.f64 y.re #s(literal -8456642567068485/1386334847060407429789207092071541851718218537687908287585239790307310653902812811519987203052069789048695605480701785914487078912 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.re #s(literal 4380991333411979/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) (/.f64 (+.f64 x.im (.f64 (/.f64 y.re #s(literal 1 binary64)) (/.f64 x.re y.im))) y.im) (if (<=.f64 y.re #s(literal 34999999999999999748016033286845382986484986793111804906713042034779960358002133862299768625990406294537106535254881368359327679147882609377280 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 (*.f64 x.im (/.f64 y.im y.re)) x.re) (hypot.f64 y.re y.im))))))
(if (<=.f64 y.re #s(literal -26500000000000000765012150863797861450044316028497790768677682132642510667776 binary64)) (.f64 (/.f64 #s(literal -1 binary64) y.re) (.f64 #s(literal -1 binary64) (+.f64 x.re (.f64 (/.f64 x.im y.re) y.im)))) (if (<=.f64 y.re #s(literal -4713538480005385/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456 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.re #s(literal 4380991333411979/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) (/.f64 (+.f64 x.im (.f64 (/.f64 y.re #s(literal 1 binary64)) (/.f64 x.re y.im))) y.im) (if (<=.f64 y.re #s(literal 80000000000000004065782787223975037638328715588078718307593664230975693715298818160627106980431681530327682299566254674650356617187747017261056 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 (fma.f64 x.im (/.f64 y.im y.re) x.re) y.re)))))
(if (<=.f64 y.re #s(literal -13499999999999999535563591654977369629575154954636795430643584002013790208 binary64)) (.f64 (/.f64 #s(literal -1 binary64) y.re) (.f64 #s(literal -1 binary64) (+.f64 x.re (.f64 (/.f64 x.im y.re) y.im)))) (if (<=.f64 y.re #s(literal -7208941204714119/1386334847060407429789207092071541851718218537687908287585239790307310653902812811519987203052069789048695605480701785914487078912 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.re #s(literal 8896782400159711/13479973333575319897333507543509815336818572211270286240551805124608 binary64)) (/.f64 (+.f64 x.im (.f64 (/.f64 y.re #s(literal 1 binary64)) (/.f64 x.re y.im))) y.im) (if (<=.f64 y.re #s(literal 2400000000000000056989037660762652857780779026788837249936315972808569830900849374163626307718599905910430325921216278581904191607736195776249856 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.re (*.f64 x.im (/.f64 y.im y.re))) y.re)))))
(if (<=.f64 y.re #s(literal -2400000 binary64)) (.f64 (/.f64 #s(literal -1 binary64) y.re) (.f64 #s(literal -1 binary64) (+.f64 x.re (.f64 (/.f64 x.im y.re) y.im)))) (if (<=.f64 y.re #s(literal 7713302612443153/205688069665150755269371147819668813122841983204197482918576128 binary64)) (/.f64 (+.f64 x.im (.f64 (/.f64 y.re #s(literal 1 binary64)) (/.f64 x.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 -1784852045121347/324518553658426726783156020576256 binary64)) (/.f64 (+.f64 x.im (/.f64 x.re (/.f64 y.im y.re))) y.im) (if (<=.f64 y.im #s(literal 967446422378569/115172193140305827399949785796761135587064246228529065807379342658863042065190089480167441564259605943037975312218134915154131611020654072038617988630148194691448832 binary64)) (/.f64 (+.f64 x.re (/.f64 (.f64 y.im x.im) y.re)) y.re) (/.f64 (+.f64 x.im (.f64 (/.f64 y.re #s(literal 1 binary64)) (/.f64 x.re y.im))) y.im)))
(if (<=.f64 y.re #s(literal -1950000 binary64)) (/.f64 (+.f64 x.re (.f64 x.im (/.f64 y.im y.re))) y.re) (if (<=.f64 y.re #s(literal 2738119583382487/105312291668557186697918027683670432318895095400549111254310977536 binary64)) (/.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)))
(if (<=.f64 y.re #s(literal -2400000 binary64)) (/.f64 x.re y.re) (if (<=.f64 y.re #s(literal 349999999999999996696792746181347361003861580451886040266741979577942077704582070502932889672762913792619490211528704 binary64)) (/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im) (/.f64 x.re y.re)))
(if (<=.f64 y.re #s(literal -2200000 binary64)) (/.f64 x.re y.re) (if (<=.f64 y.re #s(literal 349999999999999996696792746181347361003861580451886040266741979577942077704582070502932889672762913792619490211528704 binary64)) (/.f64 (+.f64 x.im (/.f64 x.re (/.f64 y.im y.re))) y.im) (/.f64 x.re y.re)))
(if (<=.f64 y.re #s(literal -2200000 binary64)) (/.f64 x.re y.re) (if (<=.f64 y.re #s(literal 349999999999999996696792746181347361003861580451886040266741979577942077704582070502932889672762913792619490211528704 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 -7788445287802241/2596148429267413814265248164610048 binary64)) (/.f64 x.im y.im) (if (<=.f64 y.im #s(literal 2995016580338375/966134380754314586173837972732996836074731832426608749664308812862879785572390106134048441645480644490615904007875544294341269665260746913935727168366770187174245203705856 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 200000000000000009655823040897755724991688492844686312786150858374325529235015311074428291647705988527319131870906741220999075456086329715600792597832264821896052782616171141921272736618612235758357506491949112630604620500944543457696353904452597448704 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 (+.f64 (.f64 x.re (/.f64 y.re x.im)) y.im) (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im))))
(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 200000000000000009655823040897755724991688492844686312786150858374325529235015311074428291647705988527319131870906741220999075456086329715600792597832264821896052782616171141921272736618612235758357506491949112630604620500944543457696353904452597448704 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 (+.f64 y.im (.f64 x.re (/.f64 y.re x.im))) (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im))))
(if (<=.f64 y.re #s(literal -5500000000000000098136935301581055186161571540210386668132990865914753712128 binary64)) (.f64 (/.f64 #s(literal -1 binary64) y.re) (.f64 #s(literal -1 binary64) (+.f64 x.re (.f64 (/.f64 x.im y.re) y.im)))) (if (<=.f64 y.re #s(literal -3925019814692101/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504 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.re #s(literal 78000000000000001213634458098413755892919708959842791802842105273605034930850944854668860413373700918744089907691520 binary64)) (.f64 (/.f64 (+.f64 (.f64 x.re (/.f64 y.re x.im)) y.im) (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im))) (/.f64 (+.f64 (.f64 x.im (/.f64 y.im y.re)) x.re) (hypot.f64 y.re y.im)))))
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(if (<=.f64 y.im #s(literal -1784852045121347/324518553658426726783156020576256 binary64)) (/.f64 (+.f64 x.im (/.f64 x.re (/.f64 y.im y.re))) y.im) (if (<=.f64 y.im #s(literal 967446422378569/115172193140305827399949785796761135587064246228529065807379342658863042065190089480167441564259605943037975312218134915154131611020654072038617988630148194691448832 binary64)) (/.f64 (+.f64 x.re (/.f64 (.f64 y.im x.im) y.re)) y.re) (/.f64 (+.f64 x.im (.f64 (/.f64 y.re #s(literal 1 binary64)) (/.f64 x.re y.im))) y.im)))
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(/.f64 x.im y.im)

soundness2.6s (19.5%)

Rules

1573×	`fma-neg`
912×	`fma-define`
898×	`times-frac`
870×	`times-frac`
864×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1506	40479
1	4136	38541
0	33	438
1	569	407
0	608	24150
1	1506	22778
2	4822	22658
0	22	260
1	267	240
2	3561	240
0	70	976
1	162	976
2	263	976
3	486	976
4	1176	976
5	3121	976
6	4441	976
7	5612	976
8	6468	976
9	6875	976
10	7003	976
11	7173	976
12	7627	976
13	7627	976
14	7627	976
15	7627	976
16	7987	976
0	34	328
1	581	295
0	1559	41642
1	4270	39859
0	35	461
1	578	429

Stop Event

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

Compiler

Compiled 1645 to 466 computations (71.7% saved)

preprocess86.0ms (0.6%)

Compiler: Compiled 1254 to 322 computations (74.3% saved)

analyze35.0ms (0.3%)

sample1.3s (9.5%)

preprocess409.0ms (3.1%)

explain302.0ms (2.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify11.0ms (0.1%)

localize152.0ms (1.1%)

series37.0ms (0.3%)

rewrite332.0ms (2.5%)

simplify290.0ms (2.2%)

eval43.0ms (0.3%)

prune65.0ms (0.5%)

simplify306.0ms (2.3%)

localize126.0ms (0.9%)

series83.0ms (0.6%)

rewrite158.0ms (1.2%)

simplify680.0ms (5.1%)

eval323.0ms (2.4%)

prune328.0ms (2.5%)

simplify101.0ms (0.8%)

localize128.0ms (1%)

series145.0ms (1.1%)

rewrite525.0ms (3.9%)

simplify441.0ms (3.3%)

eval181.0ms (1.4%)

prune431.0ms (3.2%)

simplify89.0ms (0.7%)

localize115.0ms (0.9%)

series46.0ms (0.3%)

rewrite351.0ms (2.6%)

simplify709.0ms (5.3%)

eval253.0ms (1.9%)

prune380.0ms (2.8%)

regimes106.0ms (0.8%)

regimes231.0ms (1.7%)

regimes172.0ms (1.3%)

regimes21.0ms (0.2%)

regimes16.0ms (0.1%)

regimes21.0ms (0.2%)

regimes21.0ms (0.2%)

regimes16.0ms (0.1%)

regimes70.0ms (0.5%)

regimes20.0ms (0.2%)

regimes12.0ms (0.1%)

regimes6.0ms (0%)

regimes85.0ms (0.6%)

regimes7.0ms (0%)

bsearch1.0ms (0%)

bsearch57.0ms (0.4%)

bsearch224.0ms (1.7%)

bsearch87.0ms (0.7%)

bsearch202.0ms (1.5%)

bsearch70.0ms (0.5%)

bsearch108.0ms (0.8%)

bsearch28.0ms (0.2%)

bsearch31.0ms (0.2%)

bsearch22.0ms (0.2%)

bsearch22.0ms (0.2%)

bsearch20.0ms (0.1%)

bsearch23.0ms (0.2%)

simplify128.0ms (1%)

soundness2.6s (19.5%)

preprocess86.0ms (0.6%)

end0.0ms (0%)

Profiling