Metrics for _divideComplex, real part

analyze41.0ms (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: 16.0ms

ival-mult: 11.0ms (69.7% of total)

ival-add: 3.0ms (19% of total)

ival-div: 1.0ms (6.3% of total)

const: 0.0ms (0% of total)

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

sample1.6s (13.3%)

Results

1.1s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 572.0ms

ival-mult: 353.0ms (61.8% of total)

ival-add: 150.0ms (26.2% of total)

ival-div: 58.0ms (10.1% of total)

const: 8.0ms (1.4% of total)

backward-pass: 3.0ms (0.5% of total)

Bogosity

preprocess479.0ms (3.9%)

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)))

explain110.0ms (0.9%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
99	-	1	(-3.492692847912146e-253 2.439543642916246e-192 1.2793450335779116e-176 6.924764437195797e-120)	`(/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))`
3	-	0	-	`(+.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

66.0ms

512×

valid

Compiler

Compiled 119 to 35 computations (70.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-mult: 13.0ms (51.2% of total)

ival-add: 8.0ms (31.5% of total)

ival-div: 4.0ms (15.7% of total)

const: 1.0ms (3.9% 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
▶	63.0%	(/.f64 (fma.f64 x.re y.re (.f64 x.im y.im)) (fma.f64 y.re y.re (.f64 y.im y.im)))
▶	63.0%	(/.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)

localize137.0ms (1.1%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 y.im y.im)
✓	cost-diff	0	(*.f64 y.re y.re)
✓	cost-diff	0	(*.f64 x.im y.im)
✓	cost-diff	0	(*.f64 x.re y.re)
✓	accuracy	99.6%	(fma.f64 x.re y.re (*.f64 x.im y.im))
✓	accuracy	99.0%	(+.f64 (.f64 x.re y.re) (.f64 x.im y.im))
✓	accuracy	63.4%	(/.f64 (fma.f64 x.re y.re (.f64 x.im y.im)) (fma.f64 y.re y.re (.f64 y.im y.im)))
✓	accuracy	63.4%	(/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))

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)

Results

42.0ms

256×

valid

Compiler

Compiled 85 to 15 computations (82.4% saved)

Precisions

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

ival-mult: 7.0ms (35.5% of total)

ival-fma: 6.0ms (30.5% of total)

ival-div: 3.0ms (15.2% of total)

ival-add: 3.0ms (15.2% of total)

const: 0.0ms (0% of total)

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

series39.0ms (0.3%)

Counts

8 → 216

Calls

Call 1

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

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)))))))))>
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#<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 (*.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.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))>

Calls

66 calls:

Time	Variable		Point	Expression
9.0ms	x.re	@	0	(+ (* x.re y.re) (* x.im y.im))
2.0ms	y.im	@	-inf	(* x.im y.im)
1.0ms	x.im	@	inf	(/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im)))
1.0ms	x.re	@	0	(/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im)))
1.0ms	x.re	@	-inf	(/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im)))

rewrite597.0ms (4.8%)

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	212
1	267	202
2	3557	202

Stop Event

1×	node limit

Counts

8 → 232

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

Outputs
(-.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.im #s(literal 6 binary64)) (pow.f64 y.re #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)))
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(+.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 (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)))

simplify296.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

547×	`cancel-sign-sub-inv`
484×	`distribute-lft-neg-in`
430×	`distribute-rgt-neg-in`
418×	`distribute-lft-in`
298×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	511	19656
1	1285	18596
2	4167	18476

Stop Event

1×	node limit

Counts

448 → 276

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))
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(.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)))
(fma.f64 x.re y.re (*.f64 x.im y.im))
(fma.f64 y.re x.re (*.f64 x.im y.im))
(fma.f64 (.f64 x.re y.re) #s(literal 1 binary64) (.f64 x.im y.im))
(fma.f64 x.im y.im (*.f64 x.re y.re))
(fma.f64 y.im x.im (*.f64 x.re y.re))
(fma.f64 (.f64 x.im y.im) #s(literal 1 binary64) (.f64 x.re y.re))
(fma.f64 #s(literal 1 binary64) (.f64 x.re y.re) (.f64 x.im y.im))
(fma.f64 #s(literal 1 binary64) (.f64 x.im y.im) (.f64 x.re y.re))
(fma.f64 (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64)) (.f64 (cbrt.f64 y.im) x.im) (.f64 x.re y.re))
(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.re) #s(literal 2 binary64)) (.f64 (cbrt.f64 y.re) x.re) (.f64 x.im y.im))
(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 (.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 (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)))

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

eval59.0ms (0.5%)

Compiler: Compiled 5873 to 2116 computations (64% saved)

prune67.0ms (0.5%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	285	18	303
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	287	18	305

Accuracy

100.0%

Counts

305 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	42.2%	(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))
	46.7%	(/.f64 (+.f64 (-.f64 x.im (.f64 x.re (pow.f64 (/.f64 y.re y.im) #s(literal 3 binary64)))) (/.f64 (-.f64 (.f64 y.re x.re) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im))) y.im)) y.im)
	63.0%	(/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
	49.9%	(/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)
▶	52.3%	(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
	54.4%	(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
	44.6%	(/.f64 (+.f64 x.im (-.f64 (.f64 y.re (/.f64 x.re y.im)) (.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))) y.im)
	55.3%	(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
	43.9%	(/.f64 (.f64 y.re x.re) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
	52.1%	(/.f64 (.f64 x.re (+.f64 y.re (.f64 x.im (/.f64 y.im x.re)))) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
▶	53.2%	(/.f64 (.f64 x.im (+.f64 y.im (.f64 x.re (/.f64 y.re x.im)))) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
	37.4%	(/.f64 (.f64 x.im y.im) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
	41.1%	(/.f64 x.re y.re)
▶	42.1%	(/.f64 x.im y.im)
	48.0%	(+.f64 (/.f64 x.re y.re) (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
▶	76.2%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (.f64 x.im y.im)) (hypot.f64 y.re y.im)))
	38.1%	(*.f64 y.im (/.f64 x.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
▶	44.6%	(*.f64 x.re (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))

Compiler

Compiled 572 to 354 computations (38.1% saved)

localize581.0ms (4.7%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	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	256	(.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	89.9%	(.f64 x.im (+.f64 y.im (.f64 x.re (/.f64 y.re x.im))))
✓	accuracy	77.1%	(/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))
✓	accuracy	74.7%	(/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))
✓	accuracy	63.4%	(/.f64 (.f64 x.im (+.f64 y.im (.f64 x.re (/.f64 y.re x.im)))) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))

Rules

1412×	`fma-define`
775×	`*-commutative`
582×	`cube-prod`
525×	`associate-/r/`
331×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	695
1	74	655
2	130	631
3	257	631
4	451	631
5	876	631
6	2036	631
7	2935	631
8	3311	631
9	3647	631
10	3963	631
11	4411	631
12	4942	631
13	5068	631
14	5647	631
15	5828	631
16	6061	631
17	6839	631
18	7417	631
19	7775	631

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

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

Results

163.0ms

256×

valid

Compiler

Compiled 172 to 39 computations (77.3% saved)

Precisions

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

ival-div: 23.0ms (30.9% of total)

ival-mult: 17.0ms (22.9% of total)

ival-pow: 16.0ms (21.5% of total)

ival-hypot: 10.0ms (13.4% of total)

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

ival-fma: 3.0ms (4% of total)

const: 1.0ms (1.3% of total)

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

series49.0ms (0.4%)

Counts

7 → 264

Calls

Call 1

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

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

Calls

66 calls:

Time	Variable		Point	Expression
4.0ms	y.re	@	inf	(/ y.re (pow (sqrt (+ (* y.im y.im) (* y.re y.re))) 2))
3.0ms	y.re	@	inf	(/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
2.0ms	y.re	@	-inf	(* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
1.0ms	y.im	@	inf	(/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im))))
1.0ms	x.im	@	-inf	(/ (* x.im (+ y.im (* x.re (/ y.re x.im)))) (+ (* y.re y.re) (* y.im y.im)))

rewrite220.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

979×	`log1p-expm1-u`
204×	`expm1-log1p-u`
201×	`add-cube-cbrt`
199×	`add-exp-log`
199×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	260
1	503	252
2	6656	252

Stop Event

1×	node limit

Counts

7 → 259

Calls

Call 1

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

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

simplify285.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

608×	`associate-r`
583×	`times-frac`
533×	`fma-define`
329×	`distribute-rgt-in`
328×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1063	28620
1	2934	27160

Stop Event

1×	node limit

Counts

523 → 679

Calls

Call 1

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

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

eval202.0ms (1.6%)

Compiler: Compiled 18320 to 8480 computations (53.7% saved)

prune282.0ms (2.3%)

Pruning

25 alts after pruning (21 fresh and 4 done)

	Pruned	Kept	Total
New	758	12	770
Fresh	4	9	13
Picked	1	4	5
Done	0	0	0
Total	763	25	788

Accuracy

100.0%

Counts

788 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.0%	(/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
	49.9%	(/.f64 (+.f64 x.re (/.f64 (*.f64 y.im x.im) y.re)) y.re)
✓	52.3%	(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
	54.4%	(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
▶	44.6%	(/.f64 (+.f64 x.im (-.f64 (.f64 y.re (/.f64 x.re y.im)) (.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))) y.im)
	55.3%	(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
	43.9%	(/.f64 (.f64 y.re x.re) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
▶	37.4%	(/.f64 (.f64 y.im x.im) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
	52.1%	(/.f64 (.f64 x.re (+.f64 y.re (.f64 x.im (/.f64 y.im x.re)))) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
✓	53.2%	(/.f64 (.f64 x.im (+.f64 y.im (.f64 x.re (/.f64 y.re x.im)))) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
▶	41.1%	(/.f64 x.re y.re)
✓	42.1%	(/.f64 x.im y.im)
	75.2%	(/.f64 #s(literal 1 binary64) (.f64 (hypot.f64 y.im y.re) (/.f64 (hypot.f64 y.im y.re) (fma.f64 x.re y.re (.f64 x.im y.im)))))
	48.0%	(+.f64 (/.f64 x.re y.re) (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
	52.7%	(.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))))
▶	78.4%	(*.f64 (/.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im) (hypot.f64 y.im y.re)) (/.f64 x.im (hypot.f64 y.im y.re)))
	76.0%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (.f64 (fma.f64 x.re y.re (*.f64 y.im x.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64))) (sqrt.f64 (hypot.f64 y.re y.im))))
	28.1%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (+.f64 x.re (.f64 y.im (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im y.re)))))
▶	29.2%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (+.f64 x.im (/.f64 (.f64 x.re y.re) y.im)))
	35.9%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (.f64 #s(literal -1 binary64) (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im)))))
	29.8%	(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (neg.f64 x.re))
	38.1%	(*.f64 y.im (/.f64 x.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
✓	44.6%	(*.f64 x.re (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
	41.0%	(*.f64 x.re (/.f64 #s(literal 1 binary64) y.re))
	56.3%	(.f64 x.re (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.im y.re)) (/.f64 y.re (hypot.f64 y.im y.re))))

Compiler

Compiled 758 to 470 computations (38% saved)

localize440.0ms (3.6%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	64	(*.f64 (/.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im) (hypot.f64 y.im y.re)) (/.f64 x.im (hypot.f64 y.im y.re)))
✓	cost-diff	6656	(+.f64 x.im (-.f64 (.f64 y.re (/.f64 x.re y.im)) (.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))))
✓	cost-diff	6656	(/.f64 (+.f64 x.im (-.f64 (.f64 y.re (/.f64 x.re y.im)) (.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))) y.im)
✓	cost-diff	12928	(-.f64 (.f64 y.re (/.f64 x.re y.im)) (.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))
✓	accuracy	90.9%	(*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))
✓	accuracy	86.5%	(*.f64 (/.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im) (hypot.f64 y.im y.re)) (/.f64 x.im (hypot.f64 y.im y.re)))
✓	accuracy	78.8%	(/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))
✓	accuracy	72.5%	(/.f64 (.f64 y.im x.im) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))

Rules

999×	`fma-neg`
540×	`fma-define`
464×	`div-sub`
380×	`unsub-neg`
296×	`distribute-lft-neg-in`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	41	851
1	96	829
2	199	829
3	470	794
4	1327	786
5	2985	786
6	4745	786
7	7933	786

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

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

Results

271.0ms

256×

valid

Compiler

Compiled 214 to 69 computations (67.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 158.0ms

ival-pow: 84.0ms (53.2% of total)

ival-div: 27.0ms (17.1% of total)

ival-mult: 21.0ms (13.3% of total)

ival-hypot: 9.0ms (5.7% of total)

ival-add: 7.0ms (4.4% of total)

ival-fma: 4.0ms (2.5% of total)

ival-sub: 4.0ms (2.5% of total)

const: 2.0ms (1.3% of total)

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

series51.0ms (0.4%)

Counts

7 → 264

Calls

Call 1

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

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

Calls

72 calls:

Time	Variable		Point	Expression
6.0ms	x.im	@	inf	(/ (+ x.im (- (* y.re (/ x.re y.im)) (* x.im (/ (pow y.re 2) (pow y.im 2))))) y.im)
2.0ms	x.im	@	-inf	(- (* y.re (/ x.re y.im)) (* x.im (/ (pow y.re 2) (pow y.im 2))))
1.0ms	x.im	@	0	(* x.im (/ (pow y.re 2) (pow y.im 2)))
1.0ms	x.im	@	0	(/ (* y.im x.im) (+ (* y.re y.re) (* y.im y.im)))
1.0ms	y.re	@	0	(* x.im (/ (pow y.re 2) (pow y.im 2)))

rewrite244.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	376
1	562	336

Stop Event

1×	node limit

Counts

7 → 256

Calls

Call 1

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

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

simplify497.0ms (4%)

Algorithm

1×	egg-herbie

Rules

546×	`associate-r`
535×	`associate-l`
464×	`fma-define`
409×	`times-frac`
233×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	973	36250
1	2740	32571

Stop Event

1×	node limit

Counts

520 → 597

Calls

Call 1

Inputs
(/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))
(.f64 y.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))))
(.f64 y.im (+.f64 (.f64 (pow.f64 y.im #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 6 binary64))) (/.f64 x.im (pow.f64 y.re #s(literal 4 binary64))))) (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))))
(.f64 y.im (+.f64 (.f64 (pow.f64 y.im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 y.im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 8 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 x.im (pow.f64 y.re #s(literal 6 binary64)))))) (/.f64 x.im (pow.f64 y.re #s(literal 4 binary64))))) (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))))
(/.f64 x.im y.im)
(/.f64 (+.f64 x.im (.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))))) y.im)
(/.f64 (-.f64 (+.f64 x.im (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 4 binary64))) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) y.im)
(/.f64 (-.f64 (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 6 binary64))) (pow.f64 y.im #s(literal 6 binary64))))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 4 binary64))) (pow.f64 y.im #s(literal 4 binary64)))) (/.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 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) y.im))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.im) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 4 binary64))) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))))) y.im))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.im) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 4 binary64))) (pow.f64 y.im #s(literal 4 binary64)))) (+.f64 (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))) (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 6 binary64))) (pow.f64 y.im #s(literal 6 binary64)))))) y.im))
(/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(/.f64 (*.f64 x.im y.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 (*.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.im y.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 (*.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.im y.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 (*.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.im y.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 x.im y.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 3 binary64)))) (/.f64 x.im y.im))
(+.f64 (.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 5 binary64))) (/.f64 x.im (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.im y.im))
(+.f64 (.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 7 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 x.im (pow.f64 y.im #s(literal 5 binary64)))))) (/.f64 x.im (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.im y.im))
(/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))
(/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 x.im y.im)) (pow.f64 y.re #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (.f64 x.im y.im) (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 5 binary64))) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (pow.f64 y.re #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 7 binary64))) (pow.f64 y.re #s(literal 6 binary64)))) (.f64 x.im y.im)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 5 binary64))) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 2 binary64))))) (pow.f64 y.re #s(literal 2 binary64)))
(/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))
(/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 x.im y.im)) (pow.f64 y.re #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (.f64 x.im y.im) (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 5 binary64))) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (pow.f64 y.re #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 7 binary64))) (pow.f64 y.re #s(literal 6 binary64)))) (.f64 x.im y.im)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 5 binary64))) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 2 binary64))))) (pow.f64 y.re #s(literal 2 binary64)))
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(/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 (.f64 y.re x.re) y.im) (.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (-.f64 (-.f64 (/.f64 (.f64 y.re x.re) y.im) (.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64)))) x.im))
(/.f64 (-.f64 (.f64 (+.f64 x.im (/.f64 (.f64 y.re x.re) y.im)) (+.f64 x.im (/.f64 (.f64 y.re x.re) y.im))) (pow.f64 (.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 2 binary64))) (+.f64 (+.f64 x.im (/.f64 (.f64 y.re x.re) y.im)) (.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64)))))
(pow.f64 (-.f64 (/.f64 (.f64 y.re x.re) y.im) (-.f64 (.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))) x.im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (.f64 y.re x.re) y.im) (-.f64 (.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))) x.im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (/.f64 (.f64 y.re x.re) y.im) (-.f64 (.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))) x.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (/.f64 (.f64 y.re x.re) y.im) (-.f64 (.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))) x.im))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (/.f64 (.f64 y.re x.re) y.im) (-.f64 (.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))) x.im)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (/.f64 (.f64 y.re x.re) y.im) (-.f64 (.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))) x.im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (/.f64 (.f64 y.re x.re) y.im) (-.f64 (.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))) x.im)))))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 (.f64 y.re x.re) y.im) (-.f64 (.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))) x.im)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 (.f64 y.re x.re) y.im) (-.f64 (.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))) x.im))))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (.f64 y.re x.re) y.im) (-.f64 (.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))) x.im))))
(exp.f64 (log.f64 (-.f64 (/.f64 (.f64 y.re x.re) y.im) (-.f64 (.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))) x.im))))
(exp.f64 (.f64 (log.f64 (-.f64 (/.f64 (.f64 y.re x.re) y.im) (-.f64 (*.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))) x.im))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x.im (-.f64 (/.f64 (.f64 y.re x.re) y.im) (.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 y.re x.re) y.im) (.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64)))) x.im)
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 (/.f64 (.f64 y.re x.re) y.im) (.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (-.f64 (/.f64 (.f64 y.re x.re) y.im) (.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))))) x.im)
(fma.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (cbrt.f64 x.im) (-.f64 (/.f64 (.f64 y.re x.re) y.im) (.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 (-.f64 (/.f64 (.f64 y.re x.re) y.im) (.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))))) (sqrt.f64 (-.f64 (/.f64 (.f64 y.re x.re) y.im) (.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))))) x.im)
(fma.f64 (sqrt.f64 x.im) (sqrt.f64 x.im) (-.f64 (/.f64 (.f64 y.re x.re) y.im) (.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64)))))

Outputs
(/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))
(*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))))
(.f64 y.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))))
(.f64 y.im (fma.f64 #s(literal -1 binary64) (.f64 x.im (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))))
(.f64 y.im (-.f64 (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (.f64 x.im (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 4 binary64))))))
(.f64 y.im (+.f64 (.f64 (pow.f64 y.im #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 6 binary64))) (/.f64 x.im (pow.f64 y.re #s(literal 4 binary64))))) (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))))
(.f64 y.im (fma.f64 (pow.f64 y.im #s(literal 2 binary64)) (-.f64 (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 6 binary64))) (/.f64 x.im (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))))
(.f64 y.im (+.f64 (.f64 (pow.f64 y.im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 y.im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 8 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 x.im (pow.f64 y.re #s(literal 6 binary64)))))) (/.f64 x.im (pow.f64 y.re #s(literal 4 binary64))))) (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))))
(.f64 y.im (fma.f64 (pow.f64 y.im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 y.im #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (-.f64 (.f64 x.im (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 8 binary64)))) (/.f64 x.im (pow.f64 y.re #s(literal 6 binary64)))))) (/.f64 x.im (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))))
(.f64 y.im (fma.f64 (pow.f64 y.im #s(literal 2 binary64)) (fma.f64 (pow.f64 y.im #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (.f64 x.im (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 8 binary64)))) (/.f64 x.im (pow.f64 y.re #s(literal 6 binary64)))) (/.f64 (neg.f64 x.im) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))))
(/.f64 x.im y.im)
(/.f64 (+.f64 x.im (.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))))) y.im)
(/.f64 (-.f64 x.im (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))) y.im)
(*.f64 x.im (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))) y.im))
(/.f64 (-.f64 (+.f64 x.im (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 4 binary64))) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) y.im)
(/.f64 (+.f64 x.im (-.f64 (.f64 x.im (/.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64)))) (.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))) y.im)
(/.f64 (+.f64 x.im (*.f64 x.im (-.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))))) y.im)
(/.f64 (-.f64 (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 6 binary64))) (pow.f64 y.im #s(literal 6 binary64))))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 4 binary64))) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))))) y.im)
(/.f64 (+.f64 x.im (-.f64 (neg.f64 (.f64 x.im (/.f64 (pow.f64 y.re #s(literal 6 binary64)) (pow.f64 y.im #s(literal 6 binary64))))) (fma.f64 #s(literal -1 binary64) (.f64 x.im (/.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64)))) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))))) y.im)
(/.f64 (-.f64 (-.f64 x.im (.f64 x.im (/.f64 (pow.f64 y.re #s(literal 6 binary64)) (pow.f64 y.im #s(literal 6 binary64))))) (-.f64 (.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64)))))) y.im)
(/.f64 x.im y.im)
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.im) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) y.im))
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x.im (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))) y.im))
(/.f64 (*.f64 x.im (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64)))) (neg.f64 y.im))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.im) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 4 binary64))) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))))) y.im))
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x.im (fma.f64 #s(literal -1 binary64) (.f64 x.im (/.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64)))) (.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))) y.im))
(/.f64 (+.f64 (neg.f64 (fma.f64 x.im (/.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))) x.im)) (*.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64)))) (neg.f64 y.im))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.im) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 4 binary64))) (pow.f64 y.im #s(literal 4 binary64)))) (+.f64 (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))) (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 6 binary64))) (pow.f64 y.im #s(literal 6 binary64)))))) y.im))
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x.im (+.f64 (fma.f64 #s(literal -1 binary64) (.f64 x.im (/.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64)))) (.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 6 binary64)) (pow.f64 y.im #s(literal 6 binary64)))))) y.im))
(/.f64 (+.f64 (neg.f64 (fma.f64 x.im (/.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 4 binary64))) x.im)) (*.f64 x.im (+.f64 (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)))))) (neg.f64 y.im))
(/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(*.f64 x.im (/.f64 y.im (+.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))
(*.f64 x.im (/.f64 y.im (pow.f64 (hypot.f64 y.im 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 y.im (+.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))
(*.f64 x.im (/.f64 y.im (pow.f64 (hypot.f64 y.im 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 y.im (+.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))
(*.f64 x.im (/.f64 y.im (pow.f64 (hypot.f64 y.im 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 y.im (+.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))
(*.f64 x.im (/.f64 y.im (pow.f64 (hypot.f64 y.im 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 y.im (+.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))
(*.f64 x.im (/.f64 y.im (pow.f64 (hypot.f64 y.im 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 y.im (+.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))
(*.f64 x.im (/.f64 y.im (pow.f64 (hypot.f64 y.im 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 y.im (+.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))
(*.f64 x.im (/.f64 y.im (pow.f64 (hypot.f64 y.im 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 y.im (+.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))
(*.f64 x.im (/.f64 y.im (pow.f64 (hypot.f64 y.im 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 y.im (+.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))
(*.f64 x.im (/.f64 y.im (pow.f64 (hypot.f64 y.im 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 y.im (+.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))
(*.f64 x.im (/.f64 y.im (pow.f64 (hypot.f64 y.im 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 y.im (+.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))
(*.f64 x.im (/.f64 y.im (pow.f64 (hypot.f64 y.im 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 y.im (+.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))
(*.f64 x.im (/.f64 y.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
(/.f64 x.im y.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 3 binary64)))) (/.f64 x.im y.im))
(-.f64 (/.f64 x.im y.im) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 3 binary64)))))
(+.f64 (.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 5 binary64))) (/.f64 x.im (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.im y.im))
(fma.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 5 binary64)))) (/.f64 x.im (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 x.im y.im))
(+.f64 (.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 7 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 x.im (pow.f64 y.im #s(literal 5 binary64)))))) (/.f64 x.im (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.im y.im))
(fma.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 y.re #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (-.f64 (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 7 binary64)))) (/.f64 x.im (pow.f64 y.im #s(literal 5 binary64)))))) (/.f64 x.im (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 x.im y.im))
(fma.f64 (pow.f64 y.re #s(literal 2 binary64)) (fma.f64 (pow.f64 y.re #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (*.f64 x.im (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 7 binary64)))) (/.f64 x.im (pow.f64 y.im #s(literal 5 binary64)))) (/.f64 x.im (neg.f64 (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.im y.im))
(/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))
(*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))))
(/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (*.f64 x.im y.im)) (pow.f64 y.re #s(literal 2 binary64)))
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(.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (fma.f64 y.re (/.f64 x.re y.im) (.f64 x.im (neg.f64 (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (fma.f64 x.im x.im (.f64 (fma.f64 y.re (/.f64 x.re y.im) (.f64 x.im (neg.f64 (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))))) (-.f64 (*.f64 y.re (/.f64 x.re y.im)) (fma.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64)) x.im))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 (-.f64 (/.f64 (.f64 y.re x.re) y.im) (.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (-.f64 x.im (/.f64 (.f64 y.re x.re) y.im)) (.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))))))
(neg.f64 (/.f64 (-.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 (-.f64 (.f64 y.re (/.f64 x.re y.im)) (.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64)))) #s(literal 2 binary64))) (neg.f64 (+.f64 (.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))) (-.f64 x.im (.f64 y.re (/.f64 x.re y.im)))))))
(.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 (fma.f64 y.re (/.f64 x.re y.im) (.f64 x.im (neg.f64 (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))))) #s(literal 2 binary64))) (-.f64 (fma.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64)) x.im) (*.f64 y.re (/.f64 x.re y.im)))))
(/.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (.f64 y.re x.re) y.im) (.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 (/.f64 (.f64 y.re x.re) y.im) (.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 (-.f64 (/.f64 (.f64 y.re x.re) y.im) (*.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64)))) x.im))))
(/.f64 (+.f64 (pow.f64 (-.f64 (.f64 y.re (/.f64 x.re y.im)) (.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 (.f64 y.re (/.f64 x.re y.im)) (.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 x.im #s(literal 2 binary64)) (.f64 x.im (-.f64 (.f64 y.re (/.f64 x.re y.im)) (*.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 y.re (/.f64 x.re y.im) (.f64 x.im (neg.f64 (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 y.re (/.f64 x.re y.im) (.f64 x.im (neg.f64 (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))))) #s(literal 2 binary64)) (.f64 x.im (-.f64 (fma.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64)) x.im) (.f64 y.re (/.f64 x.re y.im))))))
(/.f64 (-.f64 (pow.f64 (+.f64 x.im (/.f64 (.f64 y.re x.re) y.im)) #s(literal 3 binary64)) (pow.f64 (.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 (+.f64 x.im (/.f64 (.f64 y.re x.re) y.im)) (+.f64 x.im (/.f64 (.f64 y.re x.re) y.im))) (+.f64 (pow.f64 (.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (+.f64 x.im (/.f64 (.f64 y.re x.re) y.im)) (*.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 x.im (.f64 y.re (/.f64 x.re y.im))) #s(literal 3 binary64)) (pow.f64 (.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (+.f64 x.im (.f64 y.re (/.f64 x.re y.im))) (+.f64 x.im (.f64 y.re (/.f64 x.re y.im))) (+.f64 (pow.f64 (.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))) (+.f64 x.im (.f64 y.re (/.f64 x.re y.im)))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 y.re (/.f64 x.re y.im) x.im) #s(literal 3 binary64)) (pow.f64 (.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (fma.f64 y.re (/.f64 x.re y.im) x.im) (fma.f64 y.re (/.f64 x.re y.im) x.im) (.f64 (*.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))) (fma.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64)) (fma.f64 y.re (/.f64 x.re y.im) x.im)))))
(/.f64 (-.f64 (pow.f64 (-.f64 (/.f64 (.f64 y.re x.re) y.im) (.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (-.f64 (-.f64 (/.f64 (.f64 y.re x.re) y.im) (.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64)))) x.im))
(/.f64 (-.f64 (pow.f64 (-.f64 (.f64 y.re (/.f64 x.re y.im)) (.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (-.f64 (.f64 y.re (/.f64 x.re y.im)) (+.f64 (.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))) x.im)))
(/.f64 (-.f64 (pow.f64 (fma.f64 y.re (/.f64 x.re y.im) (.f64 x.im (neg.f64 (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))))) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (-.f64 (.f64 y.re (/.f64 x.re y.im)) (fma.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64)) x.im)))
(/.f64 (-.f64 (.f64 (+.f64 x.im (/.f64 (.f64 y.re x.re) y.im)) (+.f64 x.im (/.f64 (.f64 y.re x.re) y.im))) (pow.f64 (.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 2 binary64))) (+.f64 (+.f64 x.im (/.f64 (.f64 y.re x.re) y.im)) (.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (+.f64 x.im (.f64 y.re (/.f64 x.re y.im))) (+.f64 x.im (.f64 y.re (/.f64 x.re y.im)))) (pow.f64 (.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 2 binary64))) (+.f64 x.im (fma.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64)) (*.f64 y.re (/.f64 x.re y.im)))))
(/.f64 (-.f64 (.f64 (fma.f64 y.re (/.f64 x.re y.im) x.im) (fma.f64 y.re (/.f64 x.re y.im) x.im)) (.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 (/.f64 y.re y.im) #s(literal 4 binary64)))) (fma.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64)) (fma.f64 y.re (/.f64 x.re y.im) x.im)))
(pow.f64 (-.f64 (/.f64 (.f64 y.re x.re) y.im) (-.f64 (.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))) x.im)) #s(literal 1 binary64))
(fma.f64 x.im (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))) (*.f64 y.re (/.f64 x.re y.im)))
(fma.f64 x.im (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))) (*.f64 y.re (/.f64 x.re y.im)))
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (.f64 y.re x.re) y.im) (-.f64 (.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))) x.im))) #s(literal 3 binary64))
(fma.f64 x.im (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))) (*.f64 y.re (/.f64 x.re y.im)))
(fma.f64 x.im (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))) (*.f64 y.re (/.f64 x.re y.im)))
(pow.f64 (pow.f64 (-.f64 (/.f64 (.f64 y.re x.re) y.im) (-.f64 (.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))) x.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 x.im (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))) (*.f64 y.re (/.f64 x.re y.im)))
(fma.f64 x.im (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))) (*.f64 y.re (/.f64 x.re y.im)))
(pow.f64 (sqrt.f64 (-.f64 (/.f64 (.f64 y.re x.re) y.im) (-.f64 (.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))) x.im))) #s(literal 2 binary64))
(fma.f64 x.im (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))) (*.f64 y.re (/.f64 x.re y.im)))
(fma.f64 x.im (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))) (*.f64 y.re (/.f64 x.re y.im)))
(sqrt.f64 (pow.f64 (-.f64 (/.f64 (.f64 y.re x.re) y.im) (-.f64 (.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))) x.im)) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (+.f64 (-.f64 (.f64 y.re (/.f64 x.re y.im)) (.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64)))) x.im) #s(literal 2 binary64)))
(fabs.f64 (fma.f64 x.im (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))) (*.f64 y.re (/.f64 x.re y.im))))
(log.f64 (exp.f64 (-.f64 (/.f64 (.f64 y.re x.re) y.im) (-.f64 (.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))) x.im))))
(fma.f64 x.im (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))) (*.f64 y.re (/.f64 x.re y.im)))
(fma.f64 x.im (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))) (*.f64 y.re (/.f64 x.re y.im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (/.f64 (.f64 y.re x.re) y.im) (-.f64 (.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))) x.im)))))
(fma.f64 x.im (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))) (*.f64 y.re (/.f64 x.re y.im)))
(fma.f64 x.im (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))) (*.f64 y.re (/.f64 x.re y.im)))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 (.f64 y.re x.re) y.im) (-.f64 (.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))) x.im)) #s(literal 3 binary64)))
(fma.f64 x.im (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))) (*.f64 y.re (/.f64 x.re y.im)))
(fma.f64 x.im (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))) (*.f64 y.re (/.f64 x.re y.im)))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 (.f64 y.re x.re) y.im) (-.f64 (.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))) x.im))))
(expm1.f64 (log1p.f64 (+.f64 (-.f64 (.f64 y.re (/.f64 x.re y.im)) (.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64)))) x.im)))
(expm1.f64 (log1p.f64 (fma.f64 x.im (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))) (*.f64 y.re (/.f64 x.re y.im)))))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (.f64 y.re x.re) y.im) (-.f64 (.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))) x.im))))
(fma.f64 x.im (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))) (*.f64 y.re (/.f64 x.re y.im)))
(fma.f64 x.im (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))) (*.f64 y.re (/.f64 x.re y.im)))
(exp.f64 (log.f64 (-.f64 (/.f64 (.f64 y.re x.re) y.im) (-.f64 (.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))) x.im))))
(fma.f64 x.im (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))) (*.f64 y.re (/.f64 x.re y.im)))
(fma.f64 x.im (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))) (*.f64 y.re (/.f64 x.re y.im)))
(exp.f64 (.f64 (log.f64 (-.f64 (/.f64 (.f64 y.re x.re) y.im) (-.f64 (*.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))) x.im))) #s(literal 1 binary64)))
(fma.f64 x.im (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))) (*.f64 y.re (/.f64 x.re y.im)))
(fma.f64 x.im (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))) (*.f64 y.re (/.f64 x.re y.im)))
(fma.f64 #s(literal 1 binary64) x.im (-.f64 (/.f64 (.f64 y.re x.re) y.im) (.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64)))))
(fma.f64 x.im (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))) (*.f64 y.re (/.f64 x.re y.im)))
(fma.f64 x.im (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))) (*.f64 y.re (/.f64 x.re y.im)))
(fma.f64 #s(literal 1 binary64) (-.f64 (/.f64 (.f64 y.re x.re) y.im) (.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64)))) x.im)
(fma.f64 x.im (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))) (*.f64 y.re (/.f64 x.re y.im)))
(fma.f64 x.im (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))) (*.f64 y.re (/.f64 x.re y.im)))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 (/.f64 (.f64 y.re x.re) y.im) (.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (-.f64 (/.f64 (.f64 y.re x.re) y.im) (.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))))) x.im)
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 y.re (/.f64 x.re y.im)) (.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (-.f64 (.f64 y.re (/.f64 x.re y.im)) (.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))))) x.im)
(fma.f64 (cbrt.f64 (fma.f64 y.re (/.f64 x.re y.im) (.f64 x.im (neg.f64 (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64)))))) (cbrt.f64 (pow.f64 (fma.f64 y.re (/.f64 x.re y.im) (.f64 x.im (neg.f64 (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))))) #s(literal 2 binary64))) x.im)
(fma.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (cbrt.f64 x.im) (-.f64 (/.f64 (.f64 y.re x.re) y.im) (.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64)))))
(fma.f64 x.im (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))) (*.f64 y.re (/.f64 x.re y.im)))
(fma.f64 x.im (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))) (*.f64 y.re (/.f64 x.re y.im)))
(fma.f64 (sqrt.f64 (-.f64 (/.f64 (.f64 y.re x.re) y.im) (.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))))) (sqrt.f64 (-.f64 (/.f64 (.f64 y.re x.re) y.im) (.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))))) x.im)
(fma.f64 x.im (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))) (*.f64 y.re (/.f64 x.re y.im)))
(fma.f64 x.im (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))) (*.f64 y.re (/.f64 x.re y.im)))
(fma.f64 (sqrt.f64 x.im) (sqrt.f64 x.im) (-.f64 (/.f64 (.f64 y.re x.re) y.im) (.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64)))))
(fma.f64 x.im (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))) (*.f64 y.re (/.f64 x.re y.im)))
(fma.f64 x.im (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64))) (*.f64 y.re (/.f64 x.re y.im)))

eval177.0ms (1.4%)

Compiler: Compiled 14450 to 6813 computations (52.9% saved)

prune248.0ms (2%)

Pruning

23 alts after pruning (16 fresh and 7 done)

	Pruned	Kept	Total
New	591	6	597
Fresh	6	10	16
Picked	2	3	5
Done	0	4	4
Total	599	23	622

Accuracy

100.0%

Counts

622 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.9%	(/.f64 (fma.f64 x.re (/.f64 y.re x.im) y.im) (/.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)) x.im))
▶	78.4%	(/.f64 (/.f64 x.im (hypot.f64 y.im y.re)) (/.f64 (hypot.f64 y.im y.re) (fma.f64 x.re (/.f64 y.re x.im) y.im)))
▶	63.0%	(/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
	49.9%	(/.f64 (+.f64 x.re (/.f64 (*.f64 y.im x.im) y.re)) y.re)
✓	52.3%	(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
	54.4%	(/.f64 (+.f64 x.im (*.f64 y.re (/.f64 x.re y.im))) y.im)
	55.3%	(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
▶	43.9%	(/.f64 (.f64 y.re x.re) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
✓	37.4%	(/.f64 (.f64 y.im x.im) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
	52.1%	(/.f64 (.f64 x.re (+.f64 y.re (.f64 x.im (/.f64 y.im x.re)))) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
✓	53.2%	(/.f64 (.f64 x.im (+.f64 y.im (.f64 x.re (/.f64 y.re x.im)))) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
✓	41.1%	(/.f64 x.re y.re)
✓	42.1%	(/.f64 x.im y.im)
	53.3%	(/.f64 #s(literal 1 binary64) (/.f64 y.im (+.f64 (-.f64 (.f64 y.re (/.f64 x.re y.im)) (.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64)))) x.im)))
▶	58.1%	(*.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (/.f64 x.im (hypot.f64 y.im y.re)))
✓	29.2%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (+.f64 x.im (/.f64 (.f64 x.re y.re) y.im)))
	35.9%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (.f64 #s(literal -1 binary64) (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im)))))
	29.8%	(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (neg.f64 x.re))
	38.1%	(*.f64 y.im (/.f64 x.im (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
✓	44.6%	(*.f64 x.re (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
▶	41.0%	(*.f64 x.re (/.f64 #s(literal 1 binary64) y.re))
	56.3%	(.f64 x.re (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.im y.re)) (/.f64 y.re (hypot.f64 y.im y.re))))
	20.4%	(*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))))

Compiler

Compiled 593 to 369 computations (37.8% saved)

localize586.0ms (4.7%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 x.im (hypot.f64 y.im y.re))
✓	cost-diff	128	(*.f64 x.re (/.f64 #s(literal 1 binary64) y.re))
✓	cost-diff	6400	(*.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (/.f64 x.im (hypot.f64 y.im y.re)))
✓	cost-diff	6528	(/.f64 (/.f64 x.im (hypot.f64 y.im y.re)) (/.f64 (hypot.f64 y.im y.re) (fma.f64 x.re (/.f64 y.re x.im) y.im)))
✓	accuracy	90.6%	(/.f64 (hypot.f64 y.im y.re) (fma.f64 x.re (/.f64 y.re x.im) y.im))
✓	accuracy	87.3%	(/.f64 (/.f64 x.im (hypot.f64 y.im y.re)) (/.f64 (hypot.f64 y.im y.re) (fma.f64 x.re (/.f64 y.re x.im) y.im)))
✓	accuracy	76.8%	(/.f64 (.f64 y.re x.re) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
✓	accuracy	63.4%	(/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))

Rules

1654×	`fma-define`
816×	`cube-prod`
594×	`associate-/r/`
476×	`distribute-rgt-in`
476×	`distribute-lft-in`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	33	668
1	63	662
2	97	650
3	177	650
4	359	650
5	774	632
6	1624	632
7	1915	632
8	2260	632
9	2697	632
10	3352	632
11	3921	632
12	4487	632
13	5387	632
14	5867	632
15	6761	632
16	7018	632
17	7405	632
18	7918	632

Stop Event

1×	node limit

Calls

Call 1

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

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

Results

190.0ms

256×

valid

Compiler

Compiled 160 to 29 computations (81.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-div: 15.0ms (32.7% of total)

ival-mult: 13.0ms (28.3% of total)

ival-add: 6.0ms (13.1% of total)

ival-fma: 6.0ms (13.1% of total)

ival-hypot: 5.0ms (10.9% of total)

const: 1.0ms (2.2% of total)

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

series50.0ms (0.4%)

Counts

7 → 276

Calls

Call 1

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

Calls

69 calls:

Time	Variable		Point	Expression
3.0ms	y.im	@	inf	(/ (* y.re x.re) (+ (* y.re y.re) (* y.im y.im)))
2.0ms	y.re	@	0	(/ (sqrt (+ (* y.im y.im) (* y.re y.re))) (+ (* x.re (/ y.re x.im)) y.im))
1.0ms	x.re	@	inf	(/ (sqrt (+ (* y.im y.im) (* y.re y.re))) (+ (* x.re (/ y.re x.im)) y.im))
1.0ms	x.im	@	0	(/ (sqrt (+ (* y.im y.im) (* y.re y.re))) (+ (* x.re (/ y.re x.im)) y.im))
1.0ms	y.re	@	inf	(/ (sqrt (+ (* y.im y.im) (* y.re y.re))) (+ (* x.re (/ y.re x.im)) y.im))

rewrite102.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

242×	`log1p-expm1-u`
242×	`expm1-log1p-u`
237×	`add-exp-log`
237×	`add-log-exp`
235×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	292
1	563	265

Stop Event

1×	node limit

Counts

7 → 285

Calls

Call 1

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

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

simplify571.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

785×	`fma-define`
411×	`*-commutative`
294×	`distribute-lft-in`
292×	`distribute-rgt-in`
217×	`mul-1-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1337	36256
1	4040	33890

Stop Event

1×	node limit

Counts

561 → 727

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 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 2 binary64)))
(.f64 y.re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64)))))
(.f64 y.re (+.f64 (.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 6 binary64))) (/.f64 x.re (pow.f64 y.im #s(literal 4 binary64))))) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64)))))
(.f64 y.re (+.f64 (.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 8 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.im #s(literal 6 binary64)))))) (/.f64 x.re (pow.f64 y.im #s(literal 4 binary64))))) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64)))))
(/.f64 x.re y.re)
(/.f64 (+.f64 x.re (.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))))) y.re)
(/.f64 (-.f64 (+.f64 x.re (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) y.re)
(/.f64 (-.f64 (+.f64 x.re (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 6 binary64))) (pow.f64 y.re #s(literal 6 binary64))))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64))))) y.re)
(/.f64 x.re y.re)
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) y.re))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 (*.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64))))) y.re))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 y.re #s(literal 4 binary64)))) (+.f64 (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64))) (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 6 binary64))) (pow.f64 y.re #s(literal 6 binary64)))))) 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 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 (*.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 (*.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 (*.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 (*.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 (*.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 y.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 3 binary64)))) (/.f64 x.re y.re))
(+.f64 (.f64 (pow.f64 y.im #s(literal 2 binary64)) (-.f64 (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 5 binary64))) (/.f64 x.re (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 x.re y.re))
(+.f64 (.f64 (pow.f64 y.im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 y.im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 7 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 5 binary64)))))) (/.f64 x.re (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 x.re y.re))
(/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 2 binary64)))
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(pow.f64 (*.f64 x.im (/.f64 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 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 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 y.im)) (hypot.f64 y.re y.im)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x.im (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 x.im (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 x.im (/.f64 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 (hypot.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 (/.f64 y.im (hypot.f64 y.re y.im)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 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 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 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 x.im (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.f64 x.im (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(exp.f64 (.f64 (log.f64 (.f64 x.im (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x.re y.re))) #s(literal 1 binary64))
(/.f64 x.re y.re)
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.re))
(/.f64 (neg.f64 x.re) (neg.f64 y.re))
(/.f64 (/.f64 x.re (sqrt.f64 y.re)) (sqrt.f64 y.re))
(/.f64 (/.f64 x.re #s(literal 1 binary64)) y.re)
(/.f64 (/.f64 x.re (pow.f64 (cbrt.f64 y.re) #s(literal 2 binary64))) (cbrt.f64 y.re))
(/.f64 (*.f64 x.re #s(literal -1 binary64)) (neg.f64 y.re))
(/.f64 (*.f64 #s(literal -1 binary64) x.re) (neg.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))
(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 (/.f64 #s(literal 1 binary64) y.re) #s(literal 3 binary64)) (pow.f64 x.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 (exp.f64 (log1p.f64 (/.f64 x.im (hypot.f64 y.re y.im)))) #s(literal 1 binary64))
(*.f64 x.im (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)))
(*.f64 #s(literal 1 binary64) (/.f64 x.im (hypot.f64 y.re y.im)))
(*.f64 (cbrt.f64 (/.f64 x.im (hypot.f64 y.re y.im))) (cbrt.f64 (pow.f64 (/.f64 x.im (hypot.f64 y.re y.im)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x.im (hypot.f64 y.re y.im)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x.im (hypot.f64 y.re y.im))))
(*.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x.im) (hypot.f64 y.re y.im)))
(.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (.f64 (cbrt.f64 x.im) (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))))
(*.f64 (sqrt.f64 (/.f64 x.im (hypot.f64 y.re y.im))) (sqrt.f64 (/.f64 x.im (hypot.f64 y.re y.im))))
(*.f64 (sqrt.f64 x.im) (/.f64 (sqrt.f64 x.im) (hypot.f64 y.re y.im)))
(.f64 (sqrt.f64 x.im) (.f64 (sqrt.f64 x.im) (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))))
(*.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (neg.f64 (hypot.f64 y.re y.im))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) x.im)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64))) (/.f64 x.im (cbrt.f64 (hypot.f64 y.re y.im))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (hypot.f64 y.re y.im))) (/.f64 x.im (sqrt.f64 (hypot.f64 y.re y.im))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x.im) (hypot.f64 y.re y.im)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x.im (hypot.f64 y.re y.im))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (sqrt.f64 (hypot.f64 y.re y.im))) (/.f64 (cbrt.f64 x.im) (sqrt.f64 (hypot.f64 y.re y.im))))
(*.f64 (/.f64 (sqrt.f64 x.im) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x.im) (hypot.f64 y.re y.im)))
(*.f64 (/.f64 (sqrt.f64 x.im) (pow.f64 (cbrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x.im) (cbrt.f64 (hypot.f64 y.re y.im))))
(pow.f64 (/.f64 x.im (hypot.f64 y.re y.im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x.im (hypot.f64 y.re y.im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x.im (hypot.f64 y.re y.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x.im (hypot.f64 y.re y.im))) #s(literal 2 binary64))
(pow.f64 (/.f64 (hypot.f64 y.re y.im) x.im) #s(literal -1 binary64))
(neg.f64 (/.f64 x.im (neg.f64 (hypot.f64 y.re y.im))))
(sqrt.f64 (pow.f64 (/.f64 x.im (hypot.f64 y.re y.im)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x.im (hypot.f64 y.re y.im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x.im (hypot.f64 y.re y.im)))))
(cbrt.f64 (pow.f64 (/.f64 x.im (hypot.f64 y.re y.im)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x.im (hypot.f64 y.re y.im))))
(log1p.f64 (expm1.f64 (/.f64 x.im (hypot.f64 y.re y.im))))
(exp.f64 (log.f64 (/.f64 x.im (hypot.f64 y.re y.im))))
(exp.f64 (*.f64 (log.f64 (/.f64 x.im (hypot.f64 y.re y.im))) #s(literal 1 binary64)))

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

eval259.0ms (2.1%)

Compiler: Compiled 21119 to 9983 computations (52.7% saved)

prune195.0ms (1.6%)

Pruning

23 alts after pruning (14 fresh and 9 done)

	Pruned	Kept	Total
New	827	6	833
Fresh	3	8	11
Picked	3	2	5
Done	0	7	7
Total	833	23	856

Accuracy

100.0%

Counts

856 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	58.3%	(/.f64 (/.f64 y.im (/.f64 (hypot.f64 y.re y.im) x.im)) (hypot.f64 y.re y.im))
✓	63.0%	(/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
	49.9%	(/.f64 (+.f64 x.re (/.f64 (*.f64 y.im x.im) y.re)) y.re)
✓	52.3%	(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
	54.4%	(/.f64 (+.f64 x.im (*.f64 y.re (/.f64 x.re y.im))) y.im)
	55.3%	(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
✓	43.9%	(/.f64 (.f64 y.re x.re) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
✓	37.4%	(/.f64 (.f64 y.im x.im) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
	52.1%	(/.f64 (.f64 x.re (+.f64 y.re (.f64 x.im (/.f64 y.im x.re)))) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
✓	53.2%	(/.f64 (.f64 x.im (+.f64 y.im (.f64 x.re (/.f64 y.re x.im)))) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
✓	41.1%	(/.f64 x.re y.re)
	40.3%	(/.f64 x.im (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) y.im))
✓	42.1%	(/.f64 x.im y.im)
	40.3%	(/.f64 #s(literal 1 binary64) (/.f64 y.re x.re))
	53.3%	(/.f64 #s(literal 1 binary64) (/.f64 y.im (+.f64 (-.f64 (.f64 y.re (/.f64 x.re y.im)) (.f64 x.im (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64)))) x.im)))
	58.3%	(*.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.re (hypot.f64 y.re y.im)))
	19.5%	(*.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (/.f64 (neg.f64 x.im) y.re))
	14.7%	(*.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (/.f64 x.im y.re))
✓	29.2%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (+.f64 x.im (/.f64 (.f64 x.re y.re) y.im)))
	35.9%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (.f64 #s(literal -1 binary64) (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im)))))
	29.8%	(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (neg.f64 x.re))
✓	44.6%	(*.f64 x.re (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
	20.4%	(*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))))

Compiler

Compiled 873 to 396 computations (54.6% saved)

regimes214.0ms (1.7%)

Counts

44 → 2

Calls

Call 1

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

Calls

5 calls:

62.0ms	x.re
53.0ms	y.im
46.0ms	y.re
35.0ms	x.im
14.0ms	(/.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
89.8%	5	`x.re`
91.9%	3	`x.im`
89.7%	4	`y.re`
90.8%	5	`y.im`
91.6%	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)

regimes139.0ms (1.1%)

Counts

39 → 2

Calls

Call 1

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

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

Calls

2 calls:

120.0ms	x.im
13.0ms	(/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))

Results

Accuracy	Segments	Branch
88.2%	5	`x.im`
89.1%	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 24 to 15 computations (37.5% saved)

regimes263.0ms (2.1%)

Counts

38 → 5

Calls

Call 1

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

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

Calls

5 calls:

96.0ms	y.re
62.0ms	y.im
42.0ms	x.re
32.0ms	x.im
27.0ms	(/.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
81.8%	3	`x.im`
82.2%	7	`x.re`
88.6%	7	`y.im`
87.8%	5	`y.re`
83.0%	4	`(/.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)

regimes46.0ms (0.4%)

Counts

32 → 5

Calls

Call 1

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

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

44.0ms

y.re

Results

Accuracy	Segments	Branch
87.8%	5	`y.re`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes30.0ms (0.2%)

Counts

22 → 5

Calls

Call 1

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

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

29.0ms

y.re

Results

Accuracy	Segments	Branch
87.8%	5	`y.re`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes162.0ms (1.3%)

Counts

13 → 3

Calls

Call 1

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

3 calls:

87.0ms	y.re
62.0ms	x.im
11.0ms	y.im

Results

Accuracy	Segments	Branch
66.3%	5	`x.im`
83.2%	5	`y.im`
81.4%	3	`y.re`

Compiler

Compiled 15 to 12 computations (20% saved)

regimes46.0ms (0.4%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

3 calls:

29.0ms	x.re
9.0ms	y.re
7.0ms	y.im

Results

Accuracy	Segments	Branch
62.2%	6	`x.re`
75.3%	3	`y.im`
74.8%	3	`y.re`

Compiler

Compiled 15 to 12 computations (20% saved)

regimes24.0ms (0.2%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

2 calls:

18.0ms	y.re
5.0ms	y.im

Results

Accuracy	Segments	Branch
74.5%	3	`y.re`
74.7%	3	`y.im`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes11.0ms (0.1%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	y.re
5.0ms	y.im

Results

Accuracy	Segments	Branch
64.0%	3	`y.re`
66.8%	3	`y.im`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes2.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

0.0ms	x.re
0.0ms	y.im
0.0ms	y.re
0.0ms	x.im

Results

Accuracy	Segments	Branch
42.1%	1	`x.re`
42.1%	1	`x.im`
42.1%	1	`y.re`
42.1%	1	`y.im`

Compiler

Compiled 20 to 16 computations (20% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.374654141620044e+253	7.429036356024487e+304

Compiler

Compiled 26 to 17 computations (34.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN

Compiler

Compiled 26 to 17 computations (34.6% saved)

bsearch72.0ms (0.6%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
12.0ms	2.1773145209352626e+131	1.3241919933669781e+132
17.0ms	3.458256605764508e-67	7.334398597772276e-59
20.0ms	-6.277209499594033e-130	-1.0848246036183526e-144
18.0ms	-3.037893560795664e+58	-3.883548846676309e+51

Results

47.0ms

544×

valid

Compiler

Compiled 1133 to 682 computations (39.8% saved)

Precisions

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

ival-mult: 15.0ms (57.4% of total)

ival-add: 6.0ms (23% of total)

ival-div: 4.0ms (15.3% of total)

const: 1.0ms (3.8% of total)

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

bsearch73.0ms (0.6%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
14.0ms	2.1773145209352626e+131	1.3241919933669781e+132
17.0ms	3.458256605764508e-67	7.334398597772276e-59
19.0ms	-6.277209499594033e-130	-1.0848246036183526e-144
18.0ms	-3.037893560795664e+58	-3.883548846676309e+51

Results

50.0ms

544×

valid

Compiler

Compiled 1163 to 712 computations (38.8% saved)

Precisions

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

ival-mult: 17.0ms (63.9% of total)

ival-add: 6.0ms (22.6% of total)

ival-div: 4.0ms (15% of total)

const: 1.0ms (3.8% of total)

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

bsearch75.0ms (0.6%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
14.0ms	2.1773145209352626e+131	1.3241919933669781e+132
20.0ms	3.458256605764508e-67	7.334398597772276e-59
19.0ms	-6.277209499594033e-130	-1.0848246036183526e-144
18.0ms	-3.037893560795664e+58	-3.883548846676309e+51

Results

50.0ms

544×

valid

Compiler

Compiled 1182 to 731 computations (38.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-mult: 18.0ms (64.9% of total)

ival-add: 6.0ms (21.6% of total)

ival-div: 4.0ms (14.4% of total)

const: 0.0ms (0% of total)

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

bsearch39.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	4.001521663106218e-54	8.91486751602381e-52
20.0ms	-3.883548846676309e+51	-7.710939510283288e+45

Results

25.0ms

256×

valid

Compiler

Compiled 474 to 305 computations (35.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 11.0ms (70.7% of total)

ival-add: 3.0ms (19.3% of total)

ival-div: 2.0ms (12.8% of total)

const: 0.0ms (0% of total)

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

bsearch29.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	8.141889341119109e-46	4.190297191350448e-37
9.0ms	-4.539522192899647e-55	-1.1595045498063102e-55

Results

20.0ms

224×

valid

Compiler

Compiled 334 to 227 computations (32% saved)

Precisions

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

ival-mult: 8.0ms (66.9% of total)

ival-add: 2.0ms (16.7% of total)

ival-div: 1.0ms (8.4% of total)

const: 0.0ms (0% of total)

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

bsearch30.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	8.141889341119109e-46	4.190297191350448e-37
11.0ms	-4.539522192899647e-55	-1.1595045498063102e-55

Results

19.0ms

224×

valid

Compiler

Compiled 334 to 227 computations (32% saved)

Precisions

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

ival-mult: 7.0ms (61.1% of total)

ival-add: 2.0ms (17.4% of total)

ival-div: 1.0ms (8.7% of total)

const: 0.0ms (0% of total)

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

bsearch29.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	2.3218294258298117e+59	2.4457616443492393e+60
14.0ms	-9.793304245388469e-14	-2.379451358461384e-16

Results

20.0ms

224×

valid

Compiler

Compiled 250 to 185 computations (26% saved)

Precisions

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

ival-mult: 6.0ms (60.8% of total)

ival-add: 2.0ms (20.3% of total)

ival-div: 1.0ms (10.1% of total)

const: 0.0ms (0% of total)

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

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	122	1681
1	153	1681

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 99999999999999993635870693776759177364257073275700735648394407233581562780527075488933869945869475779810351826094056924551506641653143357437722624094200055601817197027212385681288624374039982763538319739206631507774359582937997162411679696940490282762240 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 (fma.f64 x.re (/.f64 y.re x.im) y.im) (hypot.f64 y.im y.re)) (/.f64 x.im (hypot.f64 y.im y.re))))
(if (<=.f64 (/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im))) #s(literal +inf.0 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (.f64 x.im y.im)) (hypot.f64 y.re y.im))) (*.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (/.f64 x.im (hypot.f64 y.im y.re))))
(if (<=.f64 y.re #s(literal -94999999999999998930637165413181578434644042694975815680 binary64)) (/.f64 (+.f64 x.re (.f64 x.im (/.f64 y.im y.re))) y.re) (if (<=.f64 y.re #s(literal -1997919072202235/399583814440447005616844445413525287135820562261116307309972090832047582568929999375399181192126972308457847183540047730617340886948900519205142528 binary64)) (/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (fma.f64 y.re y.re (.f64 y.im y.im))) (if (<=.f64 y.re #s(literal 2408475456136177/463168356949264781694283940034751631413079938662562256157830336031652518559744 binary64)) (/.f64 (+.f64 x.im (/.f64 (.f64 x.re y.re) y.im)) y.im) (if (<=.f64 y.re #s(literal 679999999999999971698982363624759704430631561907666009304528722571364889081563446239105003072410325459340429424011629401281159757824 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 x.re (.f64 x.im (/.f64 y.im y.re))) y.re)))))
(if (<=.f64 y.re #s(literal -10500000000000000311637623866852865149144372001151909888 binary64)) (/.f64 (+.f64 x.re (.f64 x.im (/.f64 y.im y.re))) y.re) (if (<=.f64 y.re #s(literal -6792924845487599/799167628880894011233688890827050574271641124522232614619944181664095165137859998750798362384253944616915694367080095461234681773897801038410285056 binary64)) (/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (fma.f64 y.re y.re (.f64 y.im y.im))) (if (<=.f64 y.re #s(literal 5427754182999197/7237005577332262213973186563042994240829374041602535252466099000494570602496 binary64)) (/.f64 (+.f64 x.im (/.f64 (.f64 x.re y.re) y.im)) y.im) (if (<=.f64 y.re #s(literal 549999999999999971315058353462014582660210807404198418543407162305450032647103757363140550794271496854721486315757106014767410053120 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 -10400000000000000269780233134299394418576375227986477056 binary64)) (/.f64 (+.f64 x.re (.f64 x.im (/.f64 y.im y.re))) y.re) (if (<=.f64 y.re #s(literal -2148162586431843/51146728248377216718956089012931236753385031969422887335676427626502090568823039920051095192592252455482604439493126109519019633529459266458258243584 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 4979986173918495/237142198758023568227473377297792835283496928595231875152809132048206089502588928 binary64)) (/.f64 (+.f64 x.im (/.f64 (.f64 x.re y.re) y.im)) y.im) (if (<=.f64 y.re #s(literal 219999999999999988526023341384805833064084322961679367417362864922180013058841502945256220317708598741888594526302842405906964021248 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 -2999999999999999979662846023084883929385125325832192 binary64)) (/.f64 (+.f64 x.re (.f64 x.im (/.f64 y.im y.re))) y.re) (if (<=.f64 y.re #s(literal 1449097133359347/1684996666696914987166688442938726917102321526408785780068975640576 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.im #s(literal -8282095616148677/27606985387162255149739023449108101809804435888681546220650096895197184 binary64)) (/.f64 (+.f64 x.im (.f64 y.re (/.f64 x.re y.im))) y.im) (if (<=.f64 y.im #s(literal 8122226366589211/1532495540865888858358347027150309183618739122183602176 binary64)) (/.f64 x.re y.re) (/.f64 (+.f64 x.im (.f64 x.re (/.f64 y.re y.im))) y.im)))
(if (<=.f64 y.im #s(literal -2484628684844603/6901746346790563787434755862277025452451108972170386555162524223799296 binary64)) (/.f64 (+.f64 x.im (.f64 x.re (/.f64 y.re y.im))) y.im) (if (<=.f64 y.im #s(literal 728143801304855/25108406941546723055343157692830665664409421777856138051584 binary64)) (/.f64 x.re y.re) (/.f64 (+.f64 x.im (.f64 x.re (/.f64 y.re y.im))) y.im)))
(if (<=.f64 y.im #s(literal -7352373481323731/1267650600228229401496703205376 binary64)) (/.f64 x.im y.im) (if (<=.f64 y.im #s(literal 270000000000000011311361152564283012600188618339785606430720 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 99999999999999993635870693776759177364257073275700735648394407233581562780527075488933869945869475779810351826094056924551506641653143357437722624094200055601817197027212385681288624374039982763538319739206631507774359582937997162411679696940490282762240 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 (fma.f64 x.re (/.f64 y.re x.im) y.im) (hypot.f64 y.im y.re)) (/.f64 x.im (hypot.f64 y.im y.re))))
(if (<=.f64 (/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im))) #s(literal +inf.0 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (.f64 x.im y.im)) (hypot.f64 y.re y.im))) (*.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (/.f64 x.im (hypot.f64 y.im y.re))))
(if (<=.f64 (/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im))) #s(literal +inf.0 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (.f64 x.im y.im)) (hypot.f64 y.re y.im))) (*.f64 (/.f64 x.im (hypot.f64 y.im y.re)) (/.f64 y.im (hypot.f64 y.im y.re))))
(if (<=.f64 y.re #s(literal -94999999999999998930637165413181578434644042694975815680 binary64)) (/.f64 (+.f64 x.re (.f64 x.im (/.f64 y.im y.re))) y.re) (if (<=.f64 y.re #s(literal -1997919072202235/399583814440447005616844445413525287135820562261116307309972090832047582568929999375399181192126972308457847183540047730617340886948900519205142528 binary64)) (/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (fma.f64 y.re y.re (.f64 y.im y.im))) (if (<=.f64 y.re #s(literal 2408475456136177/463168356949264781694283940034751631413079938662562256157830336031652518559744 binary64)) (/.f64 (+.f64 x.im (/.f64 (.f64 x.re y.re) y.im)) y.im) (if (<=.f64 y.re #s(literal 679999999999999971698982363624759704430631561907666009304528722571364889081563446239105003072410325459340429424011629401281159757824 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 x.re (.f64 x.im (/.f64 y.im y.re))) y.re)))))
(if (<=.f64 y.re #s(literal -10500000000000000311637623866852865149144372001151909888 binary64)) (/.f64 (+.f64 x.re (.f64 x.im (/.f64 y.im y.re))) y.re) (if (<=.f64 y.re #s(literal -6792924845487599/799167628880894011233688890827050574271641124522232614619944181664095165137859998750798362384253944616915694367080095461234681773897801038410285056 binary64)) (/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (fma.f64 y.re y.re (.f64 y.im y.im))) (if (<=.f64 y.re #s(literal 5427754182999197/7237005577332262213973186563042994240829374041602535252466099000494570602496 binary64)) (/.f64 (+.f64 x.im (/.f64 (.f64 x.re y.re) y.im)) y.im) (if (<=.f64 y.re #s(literal 549999999999999971315058353462014582660210807404198418543407162305450032647103757363140550794271496854721486315757106014767410053120 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 -10400000000000000269780233134299394418576375227986477056 binary64)) (/.f64 (+.f64 x.re (.f64 x.im (/.f64 y.im y.re))) y.re) (if (<=.f64 y.re #s(literal -2148162586431843/51146728248377216718956089012931236753385031969422887335676427626502090568823039920051095192592252455482604439493126109519019633529459266458258243584 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 4979986173918495/237142198758023568227473377297792835283496928595231875152809132048206089502588928 binary64)) (/.f64 (+.f64 x.im (/.f64 (.f64 x.re y.re) y.im)) y.im) (if (<=.f64 y.re #s(literal 219999999999999988526023341384805833064084322961679367417362864922180013058841502945256220317708598741888594526302842405906964021248 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 -2999999999999999979662846023084883929385125325832192 binary64)) (/.f64 (+.f64 x.re (.f64 x.im (/.f64 y.im y.re))) y.re) (if (<=.f64 y.re #s(literal 1449097133359347/1684996666696914987166688442938726917102321526408785780068975640576 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 (or (<=.f64 y.re #s(literal -2999999999999999979662846023084883929385125325832192 binary64)) (not (<=.f64 y.re #s(literal 1449097133359347/1684996666696914987166688442938726917102321526408785780068975640576 binary64)))) (/.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))
(if (<=.f64 y.im #s(literal -8282095616148677/27606985387162255149739023449108101809804435888681546220650096895197184 binary64)) (/.f64 (+.f64 x.im (.f64 y.re (/.f64 x.re y.im))) y.im) (if (<=.f64 y.im #s(literal 8122226366589211/1532495540865888858358347027150309183618739122183602176 binary64)) (/.f64 x.re y.re) (/.f64 (+.f64 x.im (.f64 x.re (/.f64 y.re y.im))) y.im)))
(if (<=.f64 y.im #s(literal -2484628684844603/6901746346790563787434755862277025452451108972170386555162524223799296 binary64)) (/.f64 (+.f64 x.im (.f64 x.re (/.f64 y.re y.im))) y.im) (if (<=.f64 y.im #s(literal 728143801304855/25108406941546723055343157692830665664409421777856138051584 binary64)) (/.f64 x.re y.re) (/.f64 (+.f64 x.im (.f64 x.re (/.f64 y.re y.im))) y.im)))
(if (or (<=.f64 y.im #s(literal -2484628684844603/6901746346790563787434755862277025452451108972170386555162524223799296 binary64)) (not (<=.f64 y.im #s(literal 728143801304855/25108406941546723055343157692830665664409421777856138051584 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 -7352373481323731/1267650600228229401496703205376 binary64)) (/.f64 x.im y.im) (if (<=.f64 y.im #s(literal 270000000000000011311361152564283012600188618339785606430720 binary64)) (/.f64 x.re y.re) (/.f64 x.im y.im)))
(if (or (<=.f64 y.im #s(literal -7352373481323731/1267650600228229401496703205376 binary64)) (not (<=.f64 y.im #s(literal 270000000000000011311361152564283012600188618339785606430720 binary64)))) (/.f64 x.im y.im) (/.f64 x.re y.re))
(/.f64 x.im y.im)

soundness2.4s (19.7%)

Rules

1573×	`fma-neg`
979×	`log1p-expm1-u`
912×	`fma-define`
864×	`times-frac`
822×	`log1p-expm1-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	973	36250
1	2740	32571
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	511	19656
1	1285	18596
2	4167	18476
0	22	212
1	267	202
2	3557	202
0	33	376
1	562	336
0	1063	28620
1	2934	27160
0	31	260
1	503	252
2	6656	252

Stop Event

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

Compiler

Compiled 1203 to 330 computations (72.6% saved)

preprocess129.0ms (1%)

Compiler: Compiled 856 to 256 computations (70.1% saved)

analyze41.0ms (0.3%)

sample1.6s (13.3%)

preprocess479.0ms (3.9%)

explain110.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

localize137.0ms (1.1%)

series39.0ms (0.3%)

rewrite597.0ms (4.8%)

simplify296.0ms (2.4%)

eval59.0ms (0.5%)

prune67.0ms (0.5%)

localize581.0ms (4.7%)

series49.0ms (0.4%)

rewrite220.0ms (1.8%)

simplify285.0ms (2.3%)

eval202.0ms (1.6%)

prune282.0ms (2.3%)

localize440.0ms (3.6%)

series51.0ms (0.4%)

rewrite244.0ms (2%)

simplify497.0ms (4%)

eval177.0ms (1.4%)

prune248.0ms (2%)

localize586.0ms (4.7%)

series50.0ms (0.4%)

rewrite102.0ms (0.8%)

simplify571.0ms (4.6%)

eval259.0ms (2.1%)

prune195.0ms (1.6%)

regimes214.0ms (1.7%)

regimes139.0ms (1.1%)

regimes263.0ms (2.1%)

regimes46.0ms (0.4%)

regimes30.0ms (0.2%)

regimes162.0ms (1.3%)

regimes46.0ms (0.4%)

regimes24.0ms (0.2%)

regimes11.0ms (0.1%)

regimes2.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch72.0ms (0.6%)

bsearch73.0ms (0.6%)

bsearch75.0ms (0.6%)

bsearch39.0ms (0.3%)

bsearch29.0ms (0.2%)

bsearch30.0ms (0.2%)

bsearch29.0ms (0.2%)

simplify12.0ms (0.1%)

soundness2.4s (19.7%)

preprocess129.0ms (1%)

end0.0ms (0%)

Profiling