Metrics for _divideComplex, imaginary part

analyze34.0ms (0.2%)

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: 10.0ms (61.9% of total)

ival-sub: 2.0ms (12.4% of total)

ival-add: 2.0ms (12.4% of total)

ival-div: 1.0ms (6.2% of total)

const: 0.0ms (0% of total)

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

sample1.3s (9.1%)

Results

1.0s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 757.0ms

ival-mult: 488.0ms (64.4% of total)

ival-div: 172.0ms (22.7% of total)

ival-sub: 50.0ms (6.6% of total)

ival-add: 39.0ms (5.1% of total)

const: 7.0ms (0.9% of total)

backward-pass: 2.0ms (0.3% of total)

Bogosity

preprocess263.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1255×	`fma-define`
795×	`fma-neg`
518×	`div-sub`
436×	`unsub-neg`
415×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	70	1024
1	237	992
2	469	992
3	1150	992
4	3391	992
5	5801	992
6	6625	992
7	6734	992
8	6754	992
9	6770	992
10	7716	992

Stop Event

1×	node limit

Calls

Call 1

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

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

explain117.0ms (0.8%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
103	-	4	(1.4859359129150442e-82 3.331876015850654e+59 -1.0909883512756549e-160 -1.54343701310813e-216)	`(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))`
1	-	0	-	`(-.f64 (.f64 x.im y.re) (.f64 x.re y.im))`
0	-	0	-	`x.im`
0	-	0	-	`y.im`
0	-	0	-	`y.re`
0	-	0	-	`x.re`
0	-	0	-	`(*.f64 y.im y.im)`
0	-	0	-	`(*.f64 x.im y.re)`
0	-	0	-	`(*.f64 x.re y.im)`
0	-	0	-	`(*.f64 y.re y.re)`
0	-	0	-	`(+.f64 (.f64 y.re y.re) (.f64 y.im y.im))`

Results

72.0ms

512×

valid

Compiler

Compiled 119 to 35 computations (70.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-sub: 20.0ms (47.8% of total)

ival-mult: 15.0ms (35.9% of total)

ival-div: 4.0ms (9.6% of total)

ival-add: 3.0ms (7.2% of total)

const: 1.0ms (2.4% of total)

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

eval0.0ms (0%)

Compiler: Compiled 32 to 16 computations (50% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	61.8%	(/.f64 (fma.f64 x.im y.re (.f64 x.re (neg.f64 y.im))) (fma.f64 y.im y.im (.f64 y.re y.re)))
▶	61.8%	(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
▶	61.8%	(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))

Status

Accuracy

Program

▶

61.8%

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

▶

61.8%

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

▶

61.8%

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

Compiler

Compiled 55 to 31 computations (43.6% saved)

simplify106.0ms (0.7%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(neg.f64 y.im)
✓	cost-diff	0	(*.f64 x.re (neg.f64 y.im))
✓	cost-diff	6336	(fma.f64 x.im y.re (*.f64 x.re (neg.f64 y.im)))
✓	cost-diff	6336	(/.f64 (fma.f64 x.im y.re (.f64 x.re (neg.f64 y.im))) (fma.f64 y.im y.im (.f64 y.re y.re)))
✓	cost-diff	0	(*.f64 x.re y.im)
✓	cost-diff	0	(*.f64 x.im y.re)
✓	cost-diff	0	(-.f64 (.f64 x.im y.re) (.f64 x.re y.im))
✓	cost-diff	0	(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
✓	cost-diff	0	(*.f64 y.re y.re)
✓	cost-diff	0	(*.f64 x.re y.im)
✓	cost-diff	0	(*.f64 x.im y.re)
✓	cost-diff	0	(-.f64 (.f64 x.im y.re) (.f64 x.re y.im))

Rules

652×	`fma-define`
499×	`fma-neg`
318×	`times-frac`
114×	`div-sub`
109×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	540
1	46	540
2	69	540
3	108	540
4	183	540
5	313	540
6	597	540
7	1028	540
8	1630	540
9	2634	540
10	3127	540
11	3179	540
12	3239	540
13	3239	540

Stop Event

1×

saturated

Calls

Call 1

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

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

localize94.0ms (0.7%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x.re (neg.f64 y.im))
✓	accuracy	100.0%	(neg.f64 y.im)
✓	accuracy	100.0%	(fma.f64 y.im y.im (*.f64 y.re y.re))
✓	accuracy	62.2%	(/.f64 (fma.f64 x.im y.re (.f64 x.re (neg.f64 y.im))) (fma.f64 y.im y.im (.f64 y.re y.re)))
✓	accuracy	100.0%	(*.f64 x.re y.im)
✓	accuracy	100.0%	(*.f64 x.im y.re)
✓	accuracy	99.7%	(-.f64 (.f64 x.im y.re) (.f64 x.re y.im))
✓	accuracy	62.2%	(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im)))
✓	accuracy	100.0%	(*.f64 x.im y.re)
✓	accuracy	100.0%	(+.f64 (.f64 y.re y.re) (.f64 y.im y.im))
✓	accuracy	99.7%	(-.f64 (.f64 x.im y.re) (.f64 x.re y.im))
✓	accuracy	62.2%	(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))

Results

68.0ms

256×

valid

Compiler

Compiled 130 to 19 computations (85.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-mult: 11.0ms (35.4% of total)

ival-fma: 11.0ms (35.4% of total)

ival-div: 5.0ms (16.1% of total)

ival-sub: 1.0ms (3.2% of total)

ival-add: 1.0ms (3.2% of total)

ival-neg: 1.0ms (3.2% of total)

const: 0.0ms (0% of total)

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

series47.0ms (0.3%)

Counts

12 → 330

Calls

Call 1

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

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

Calls

96 calls:

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

rewrite565.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

922×	`log1p-expm1-u`
922×	`expm1-log1p-u`
297×	`fma-neg`
139×	`add-exp-log`
139×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	347
1	394	298
2	4632	298

Stop Event

1×	node limit

Counts

12 → 484

Calls

Call 1

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

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

simplify659.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

416×	`times-frac`
335×	`associate-r`
329×	`fma-define`
310×	`associate-l`
309×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	715	41924
1	1724	39227
2	7028	39191

Stop Event

1×	node limit

Counts

814 → 462

Calls

Call 1

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

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

eval121.0ms (0.8%)

Compiler: Compiled 13552 to 1749 computations (87.1% saved)

prune119.0ms (0.8%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	618	13	631
Fresh	0	0	0
Picked	2	1	3
Done	0	0	0
Total	620	14	634

Accuracy

99.7%

Counts

634 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.3%	(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
▶	56.1%	(/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)
	61.5%	(/.f64 (-.f64 (.f64 x.im y.re) (pow.f64 (cbrt.f64 (.f64 x.re y.im)) #s(literal 3 binary64))) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
✓	61.8%	(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
	52.8%	(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
	54.1%	(/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (.f64 x.im y.re) y.im)) y.im)
	51.5%	(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re (neg.f64 y.im)) y.re)) y.re)
	39.2%	(/.f64 (.f64 x.re (neg.f64 y.im)) (fma.f64 y.re y.re (.f64 y.im y.im)))
▶	39.2%	(/.f64 (.f64 x.re (neg.f64 y.im)) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
	54.5%	(/.f64 (.f64 x.im (-.f64 y.re (.f64 x.re (/.f64 y.im x.im)))) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
	40.4%	(/.f64 (neg.f64 x.re) y.im)
▶	42.5%	(/.f64 x.im y.re)
	76.2%	(-.f64 (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.im y.re)) (.f64 y.re (/.f64 x.im (hypot.f64 y.im y.re)))) (/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
▶	42.5%	(*.f64 x.im (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))

Compiler

Compiled 437 to 267 computations (38.9% saved)

simplify458.0ms (3.2%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

1139×	`fma-define`
1137×	`fma-neg`
314×	`distribute-lft-neg-in`
289×	`associate-/r*`
235×	`unsub-neg`

Iterations

Useful iterations: 13 (0.0ms)

Iter	Nodes	Cost
0	37	651
1	74	639
2	146	639
3	329	639
4	606	639
5	986	639
6	1498	639
7	2515	621
8	4654	621
9	5420	621
10	6060	621
11	6229	621
12	6236	621
13	6240	615
14	6320	615
15	6340	615
16	6398	615
17	6702	615
18	6702	615
19	6702	615
20	6870	615
21	6878	615
22	6878	615

Stop Event

1×

saturated

Calls

Call 1

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

localize138.0ms (1%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(hypot.f64 y.im y.re)
✓	accuracy	100.0%	(pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))
✓	accuracy	95.1%	(*.f64 x.im (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
✓	accuracy	67.8%	(/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))
✓	accuracy	100.0%	(*.f64 x.re (neg.f64 y.im))
	accuracy	100.0%	(neg.f64 y.im)
	accuracy	100.0%	(+.f64 (.f64 y.re y.re) (.f64 y.im y.im))
✓	accuracy	72.9%	(/.f64 (.f64 x.re (neg.f64 y.im)) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
✓	accuracy	100.0%	(/.f64 y.re y.im)
✓	accuracy	100.0%	(-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re)
✓	accuracy	99.6%	(/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)
✓	accuracy	92.6%	(*.f64 x.im (/.f64 y.re y.im))
✓	accuracy	100.0%	(/.f64 x.im y.re)
✓	accuracy	100.0%	(pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 x.im (hypot.f64 y.re y.im))
✓	accuracy	98.4%	(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
✓	accuracy	72.9%	(/.f64 (*.f64 x.re y.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))

Results

87.0ms

256×

valid

Compiler

Compiled 166 to 29 computations (82.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-div: 15.0ms (31.7% of total)

ival-mult: 11.0ms (23.3% of total)

ival-hypot: 9.0ms (19% of total)

ival-pow: 5.0ms (10.6% of total)

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

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

ival-add: 1.0ms (2.1% of total)

ival-sub: 1.0ms (2.1% of total)

const: 0.0ms (0% of total)

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

series277.0ms (1.9%)

Counts

18 → 504

Calls

Call 1

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

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

Calls

138 calls:

Time	Variable		Point	Expression
184.0ms	y.re	@	-inf	(/ y.re (sqrt (+ (* y.re y.re) (* y.im y.im))))
6.0ms	y.re	@	-inf	(/ y.re (pow (sqrt (+ (* y.im y.im) (* y.re y.re))) 2))
3.0ms	y.im	@	0	(/ y.re (sqrt (+ (* y.re y.re) (* y.im y.im))))
3.0ms	x.re	@	0	(/ (- (* x.im (/ y.re y.im)) x.re) y.im)
2.0ms	y.im	@	inf	(/ y.re (pow (sqrt (+ (* y.im y.im) (* y.re y.re))) 2))

rewrite396.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

249×	`log1p-expm1-u`
249×	`expm1-log1p-u`
244×	`add-exp-log`
244×	`add-log-exp`
244×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	484
1	637	468

Stop Event

1×	node limit

Counts

18 → 600

Calls

Call 1

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

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

simplify888.0ms (6.2%)

Algorithm

1×	egg-herbie

Rules

465×	`*-commutative`
401×	`distribute-lft-in`
396×	`distribute-rgt-in`
229×	`neg-sub0`
228×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1696	48853
1	4609	47161

Stop Event

1×	node limit

Counts

1104 → 1106

Calls

Call 1

Inputs
(*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))
(-.f64 (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64))) (/.f64 x.re y.im))
(-.f64 (.f64 y.re (+.f64 (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (/.f64 (.f64 x.re y.re) (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.re y.im))
(-.f64 (.f64 y.re (+.f64 (.f64 y.re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.re) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 x.re (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 x.re y.im))
(/.f64 x.im y.re)
(/.f64 (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) y.re))) y.re)
(/.f64 (-.f64 (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.re y.im) y.re)) y.re)
(/.f64 (-.f64 (+.f64 x.im (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 3 binary64)))) (+.f64 (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64))) (/.f64 (*.f64 x.re y.im) y.re))) y.re)
(/.f64 x.im y.re)
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.im) (/.f64 (*.f64 x.re y.im) y.re)) y.re))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.im) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) y.re)) (.f64 x.re y.im)) y.re))) y.re))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.im) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) y.re)) (.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))) y.re)) (.f64 x.re y.im)) y.re))) y.re))
(/.f64 x.im y.re)
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im y.re))
(+.f64 (.f64 y.im (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 x.im y.re))
(+.f64 (.f64 y.im (-.f64 (.f64 y.im (-.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 4 binary64))) (/.f64 x.im (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 x.im y.re))
(*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))
(/.f64 (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re) y.im)
(/.f64 (-.f64 (+.f64 (/.f64 (.f64 x.im y.re) y.im) (/.f64 (.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) x.re) y.im)
(/.f64 (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 3 binary64)))) (+.f64 (/.f64 (.f64 x.im y.re) y.im) (/.f64 (.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))))) x.re) y.im)
(*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.re) y.im)) (.f64 #s(literal -1 binary64) x.re)) y.im))
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 x.im y.re) (/.f64 (.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) y.im)) y.im)) (*.f64 #s(literal -1 binary64) x.re)) y.im))
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) y.im) (.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) y.im)) (.f64 x.im y.re)) y.im)) (*.f64 #s(literal -1 binary64) x.re)) y.im))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(-.f64 (/.f64 (.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(-.f64 (/.f64 (.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(-.f64 (/.f64 (.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(.f64 x.re (-.f64 (/.f64 (.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(.f64 x.re (-.f64 (/.f64 (.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(.f64 x.re (-.f64 (/.f64 (.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 x.re (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.re) (.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(.f64 #s(literal -1 binary64) (.f64 x.re (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.re) (.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(.f64 #s(literal -1 binary64) (.f64 x.re (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.re) (.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(/.f64 y.re y.im)
(.f64 y.re (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) y.im)))
(.f64 y.re (+.f64 (.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/8 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 5 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) y.im)))
(.f64 y.re (+.f64 (.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -5/16 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 7 binary64)))) (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 5 binary64)))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) y.im)))
#s(literal 1 binary64)
(+.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)))))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64)))) (pow.f64 y.re #s(literal 4 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64)))) (pow.f64 y.re #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64)))))) (pow.f64 y.im #s(literal 6 binary64))) (pow.f64 y.re #s(literal 6 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64)))) (pow.f64 y.re #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) #s(literal 1 binary64))
(-.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64)))) (pow.f64 y.re #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64)))))) (pow.f64 y.im #s(literal 6 binary64))) (pow.f64 y.re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) #s(literal 1 binary64))
#s(literal 1 binary64)
(+.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)))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y.im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/8 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 2 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y.im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -5/16 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 6 binary64)))) (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 4 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 2 binary64)))))))
(/.f64 y.re y.im)
(/.f64 (+.f64 y.re (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 3 binary64)) (pow.f64 y.im #s(literal 2 binary64))))) y.im)
(/.f64 (+.f64 y.re (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 y.re (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64))))) (pow.f64 y.im #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 3 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))) y.im)
(/.f64 (+.f64 y.re (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 y.re (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64))))) (pow.f64 y.im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 y.re (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64)))))) (pow.f64 y.re #s(literal 6 binary64)))) (pow.f64 y.im #s(literal 6 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 3 binary64)) (pow.f64 y.im #s(literal 2 binary64))))))) y.im)
(*.f64 #s(literal -1 binary64) (/.f64 y.re y.im))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 y.re (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 3 binary64)) (pow.f64 y.im #s(literal 2 binary64))))) y.im))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 y.re (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 y.re (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64))))) (pow.f64 y.im #s(literal 4 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 3 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))) y.im))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 y.re (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 y.re (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64))))) (pow.f64 y.im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 y.re (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 y.re #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 y.re #s(literal 4 binary64)))))) (pow.f64 y.re #s(literal 6 binary64)))) (pow.f64 y.im #s(literal 6 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 3 binary64)) (pow.f64 y.im #s(literal 2 binary64))))))) y.im))
y.im
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(pow.f64 (cbrt.f64 (.f64 y.im (.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))) #s(literal 3 binary64))
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(pow.f64 (/.f64 (sqrt.f64 (*.f64 y.im x.re)) (hypot.f64 y.re y.im)) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (*.f64 y.im x.re)) #s(literal -1 binary64))
(neg.f64 (.f64 y.im (.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 y.im x.re) #s(literal 2 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 4 binary64))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y.im) x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 y.im (.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))))))
(cbrt.f64 (pow.f64 (.f64 y.im (.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 y.im x.re) #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 y.im (.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))))
(log1p.f64 (expm1.f64 (.f64 y.im (.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))))
(exp.f64 (log.f64 (.f64 y.im (.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))))
(exp.f64 (.f64 (log.f64 (.f64 y.im (*.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))))) #s(literal 1 binary64)))

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

eval383.0ms (2.7%)

Compiler: Compiled 32345 to 4644 computations (85.6% saved)

prune245.0ms (1.7%)

Pruning

18 alts after pruning (15 fresh and 3 done)

	Pruned	Kept	Total
New	1364	10	1374
Fresh	3	5	8
Picked	3	2	5
Done	0	1	1
Total	1370	18	1388

Accuracy

100.0%

Counts

1388 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.7%	(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 (/.f64 y.im (hypot.f64 y.re y.im)) (/.f64 x.re (hypot.f64 y.re y.im)))))
	23.7%	(/.f64 (/.f64 (*.f64 x.im y.re) y.im) y.im)
▶	54.1%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 y.im (*.f64 x.im y.re))) x.re) y.im)
▶	55.0%	(/.f64 (-.f64 (*.f64 (/.f64 x.im y.im) y.re) x.re) y.im)
	61.5%	(/.f64 (-.f64 (.f64 x.im y.re) (pow.f64 (cbrt.f64 (.f64 x.re y.im)) #s(literal 3 binary64))) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
✓	61.8%	(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
	52.8%	(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
	51.5%	(/.f64 (+.f64 x.im (/.f64 (*.f64 y.im (neg.f64 x.re)) y.re)) y.re)
	39.2%	(/.f64 (.f64 x.re (neg.f64 y.im)) (fma.f64 y.re y.re (.f64 y.im y.im)))
✓	39.2%	(/.f64 (.f64 x.re (neg.f64 y.im)) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
▶	25.7%	(/.f64 (*.f64 x.im (/.f64 y.re y.im)) y.im)
	54.5%	(/.f64 (.f64 x.im (-.f64 y.re (.f64 x.re (/.f64 y.im x.im)))) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
▶	40.4%	(/.f64 (neg.f64 x.re) y.im)
	34.7%	(/.f64 (cbrt.f64 (pow.f64 (-.f64 (/.f64 x.im (/.f64 y.im y.re)) x.re) #s(literal 3 binary64))) y.im)
✓	42.5%	(/.f64 x.im y.re)
	42.6%	(/.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
	54.6%	(/.f64 #s(literal 1 binary64) (/.f64 y.im (-.f64 (*.f64 (/.f64 x.im y.im) y.re) x.re)))
	42.4%	(*.f64 x.im (/.f64 #s(literal 1 binary64) y.re))

Compiler

Compiled 480 to 300 computations (37.5% saved)

simplify379.0ms (2.6%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 y.im (*.f64 x.im y.re))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 y.im (*.f64 x.im y.re)))
✓	cost-diff	128	(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 y.im (*.f64 x.im y.re))) x.re)
✓	cost-diff	128	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 y.im (*.f64 x.im y.re))) x.re) y.im)
✓	cost-diff	0	(/.f64 x.im y.im)
✓	cost-diff	0	(*.f64 (/.f64 x.im y.im) y.re)
✓	cost-diff	0	(-.f64 (*.f64 (/.f64 x.im y.im) y.re) x.re)
✓	cost-diff	0	(/.f64 (-.f64 (*.f64 (/.f64 x.im y.im) y.re) x.re) y.im)
	cost-diff	0	(/.f64 y.re y.im)
	cost-diff	0	(*.f64 x.im (/.f64 y.re y.im))
✓	cost-diff	0	(/.f64 (*.f64 x.im (/.f64 y.re y.im)) y.im)
✓	cost-diff	0	(neg.f64 x.re)
✓	cost-diff	0	(/.f64 (neg.f64 x.re) y.im)
	cost-diff	0	(/.f64 y.re (hypot.f64 y.re y.im))
✓	cost-diff	6400	(*.f64 (/.f64 y.im (hypot.f64 y.re y.im)) (/.f64 x.re (hypot.f64 y.re y.im)))
✓	cost-diff	6400	(neg.f64 (*.f64 (/.f64 y.im (hypot.f64 y.re y.im)) (/.f64 x.re (hypot.f64 y.re y.im))))
✓	cost-diff	25920	(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 (/.f64 y.im (hypot.f64 y.re y.im)) (/.f64 x.re (hypot.f64 y.re y.im)))))

Rules

1350×	`fma-neg`
948×	`fma-define`
407×	`div-sub`
378×	`distribute-lft-neg-in`
353×	`unsub-neg`

Iterations

Useful iterations: 17 (0.0ms)

Iter	Nodes	Cost
0	36	700
1	80	700
2	169	700
3	338	684
4	696	684
5	1328	684
6	2113	658
7	3760	658
8	5355	658
9	6468	658
10	6667	658
11	6757	658
12	6779	658
13	6779	658
14	7554	658
15	7650	658
16	7650	658
17	7650	652
18	7718	652

Stop Event

1×	node limit

Calls

Call 1

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

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

localize192.0ms (1.3%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 y.im (*.f64 x.im y.re))) x.re)
✓	accuracy	99.6%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 y.im (*.f64 x.im y.re))) x.re) y.im)
✓	accuracy	99.1%	(/.f64 #s(literal 1 binary64) (/.f64 y.im (*.f64 x.im y.re)))
✓	accuracy	90.1%	(/.f64 y.im (*.f64 x.im y.re))
✓	accuracy	100.0%	(/.f64 x.im y.im)
✓	accuracy	100.0%	(-.f64 (*.f64 (/.f64 x.im y.im) y.re) x.re)
✓	accuracy	99.6%	(/.f64 (-.f64 (*.f64 (/.f64 x.im y.im) y.re) x.re) y.im)
✓	accuracy	92.6%	(*.f64 (/.f64 x.im y.im) y.re)
	accuracy	100.0%	(/.f64 y.re y.im)
✓	accuracy	98.8%	(/.f64 (*.f64 x.im (/.f64 y.re y.im)) y.im)
	accuracy	92.6%	(*.f64 x.im (/.f64 y.re y.im))
✓	accuracy	100.0%	(/.f64 (neg.f64 x.re) y.im)
✓	accuracy	100.0%	(neg.f64 x.re)
	accuracy	100.0%	(/.f64 x.im (hypot.f64 y.re y.im))
✓	accuracy	100.0%	(/.f64 y.im (hypot.f64 y.re y.im))
✓	accuracy	98.4%	(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 (/.f64 y.im (hypot.f64 y.re y.im)) (/.f64 x.re (hypot.f64 y.re y.im)))))
✓	accuracy	97.5%	(*.f64 (/.f64 y.im (hypot.f64 y.re y.im)) (/.f64 x.re (hypot.f64 y.re y.im)))

Results

152.0ms

256×

valid

Compiler

Compiled 172 to 28 computations (83.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 111.0ms

ival-div: 80.0ms (72% of total)

ival-sub: 14.0ms (12.6% of total)

ival-mult: 7.0ms (6.3% of total)

ival-hypot: 5.0ms (4.5% of total)

ival-fma: 3.0ms (2.7% of total)

ival-neg: 2.0ms (1.8% of total)

const: 0.0ms (0% of total)

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

series90.0ms (0.6%)

Counts

15 → 480

Calls

Call 1

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

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

Calls

135 calls:

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

rewrite342.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

275×	`log1p-expm1-u`
275×	`expm1-log1p-u`
274×	`add-cube-cbrt`
273×	`add-exp-log`
273×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	508
1	634	428

Stop Event

1×	node limit

Counts

15 → 561

Calls

Call 1

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

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

simplify1.0s (7.2%)

Algorithm

1×	egg-herbie

Rules

726×	`times-frac`
627×	`fma-define`
309×	`*-commutative`
281×	`distribute-lft-in`
280×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1277	45109
1	3458	42932

Stop Event

1×	node limit

Counts

1041 → 832

Calls

Call 1

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

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

eval161.0ms (1.1%)

Compiler: Compiled 25521 to 3960 computations (84.5% saved)

prune204.0ms (1.4%)

Pruning

23 alts after pruning (17 fresh and 6 done)

	Pruned	Kept	Total
New	1074	9	1083
Fresh	2	8	10
Picked	2	3	5
Done	0	3	3
Total	1078	23	1101

Accuracy

100.0%

Counts

1101 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.5%	(fma.f64 #s(literal 1 binary64) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 (/.f64 y.im (hypot.f64 y.re y.im)) (/.f64 x.re (hypot.f64 y.re y.im)))))
	23.7%	(/.f64 (/.f64 (*.f64 y.re x.im) y.im) y.im)
	25.7%	(/.f64 (/.f64 x.im (/.f64 y.im y.re)) y.im)
✓	55.0%	(/.f64 (-.f64 (*.f64 (/.f64 x.im y.im) y.re) x.re) y.im)
▶	61.5%	(/.f64 (-.f64 (.f64 x.im y.re) (pow.f64 (cbrt.f64 (.f64 x.re y.im)) #s(literal 3 binary64))) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
✓	61.8%	(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
	52.8%	(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
	51.5%	(/.f64 (+.f64 x.im (/.f64 (*.f64 y.im (neg.f64 x.re)) y.re)) y.re)
	39.2%	(/.f64 (.f64 x.re (neg.f64 y.im)) (fma.f64 y.re y.re (.f64 y.im y.im)))
✓	39.2%	(/.f64 (.f64 x.re (neg.f64 y.im)) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
▶	9.2%	(/.f64 (*.f64 x.im (/.f64 (neg.f64 y.re) y.im)) y.im)
✓	25.7%	(/.f64 (*.f64 x.im (/.f64 y.re y.im)) y.im)
▶	54.5%	(/.f64 (.f64 x.im (-.f64 y.re (.f64 x.re (/.f64 y.im x.im)))) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
✓	40.4%	(/.f64 (neg.f64 x.re) y.im)
	34.7%	(/.f64 (cbrt.f64 (pow.f64 (-.f64 (/.f64 x.im (/.f64 y.im y.re)) x.re) #s(literal 3 binary64))) y.im)
▶	11.0%	(/.f64 x.re y.im)
✓	42.5%	(/.f64 x.im y.re)
	42.6%	(/.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
	11.0%	(/.f64 #s(literal 1 binary64) (/.f64 y.im x.re))
	25.0%	(*.f64 (/.f64 (/.f64 y.re y.im) #s(literal 1 binary64)) (/.f64 x.im y.im))
▶	40.3%	(*.f64 x.re (/.f64 #s(literal 1 binary64) (neg.f64 y.im)))
	23.5%	(*.f64 x.im (/.f64 (/.f64 y.re y.im) y.im))
	42.4%	(*.f64 x.im (/.f64 #s(literal 1 binary64) y.re))

Compiler

Compiled 526 to 341 computations (35.2% saved)

simplify99.0ms (0.7%)

Algorithm

1×	egg-herbie

Localize:

Found 16 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 y.im x.im)
✓	cost-diff	0	(*.f64 x.re (/.f64 y.im x.im))
✓	cost-diff	0	(neg.f64 y.re)
✓	cost-diff	0	(/.f64 (neg.f64 y.re) y.im)
✓	cost-diff	0	(*.f64 x.im (/.f64 (neg.f64 y.re) y.im))
✓	cost-diff	0	(/.f64 (*.f64 x.im (/.f64 (neg.f64 y.re) y.im)) y.im)
	cost-diff	0	(neg.f64 y.im)
✓	cost-diff	64	(/.f64 #s(literal 1 binary64) (neg.f64 y.im))
✓	cost-diff	128	(*.f64 x.re (/.f64 #s(literal 1 binary64) (neg.f64 y.im)))
✓	cost-diff	0	(/.f64 x.re y.im)
	cost-diff	0	(*.f64 x.im y.re)
✓	cost-diff	256	(/.f64 (-.f64 (.f64 x.im y.re) (pow.f64 (cbrt.f64 (.f64 x.re y.im)) #s(literal 3 binary64))) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
✓	cost-diff	6528	(-.f64 (.f64 x.im y.re) (pow.f64 (cbrt.f64 (.f64 x.re y.im)) #s(literal 3 binary64)))
✓	cost-diff	12864	(pow.f64 (cbrt.f64 (*.f64 x.re y.im)) #s(literal 3 binary64))

Rules

724×	`fma-neg`
658×	`div-sub`
469×	`unsub-neg`
406×	`distribute-lft-neg-in`
299×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	622
1	83	612
2	184	612
3	487	612
4	1268	612
5	2716	612
6	4309	612
7	6692	612

Stop Event

1×	node limit

Calls

Call 1

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

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

localize120.0ms (0.8%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 y.re (*.f64 x.re (/.f64 y.im x.im)))
✓	accuracy	95.2%	(*.f64 x.re (/.f64 y.im x.im))
✓	accuracy	95.1%	(.f64 x.im (-.f64 y.re (.f64 x.re (/.f64 y.im x.im))))
✓	accuracy	62.2%	(/.f64 (.f64 x.im (-.f64 y.re (.f64 x.re (/.f64 y.im x.im)))) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
✓	accuracy	100.0%	(/.f64 (neg.f64 y.re) y.im)
✓	accuracy	100.0%	(neg.f64 y.re)
✓	accuracy	98.8%	(/.f64 (*.f64 x.im (/.f64 (neg.f64 y.re) y.im)) y.im)
✓	accuracy	92.6%	(*.f64 x.im (/.f64 (neg.f64 y.re) y.im))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (neg.f64 y.im))
	accuracy	100.0%	(neg.f64 y.im)
✓	accuracy	99.8%	(*.f64 x.re (/.f64 #s(literal 1 binary64) (neg.f64 y.im)))
✓	accuracy	100.0%	(/.f64 x.re y.im)
✓	accuracy	99.7%	(-.f64 (.f64 x.im y.re) (pow.f64 (cbrt.f64 (.f64 x.re y.im)) #s(literal 3 binary64)))
✓	accuracy	99.2%	(pow.f64 (cbrt.f64 (*.f64 x.re y.im)) #s(literal 3 binary64))
✓	accuracy	75.1%	(cbrt.f64 (*.f64 x.re y.im))
✓	accuracy	62.2%	(/.f64 (-.f64 (.f64 x.im y.re) (pow.f64 (cbrt.f64 (.f64 x.re y.im)) #s(literal 3 binary64))) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))

Results

85.0ms

256×

valid

Compiler

Compiled 168 to 29 computations (82.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-mult: 16.0ms (34% of total)

ival-div: 14.0ms (29.8% of total)

ival-pow: 8.0ms (17% of total)

ival-cbrt: 2.0ms (4.3% of total)

ival-sub: 2.0ms (4.3% of total)

ival-neg: 2.0ms (4.3% of total)

ival-add: 1.0ms (2.1% of total)

const: 1.0ms (2.1% of total)

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

series59.0ms (0.4%)

Counts

16 → 452

Calls

Call 1

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

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

Calls

129 calls:

Time	Variable		Point	Expression
5.0ms	x.re	@	-inf	(pow (cbrt (* x.re y.im)) 3)
3.0ms	x.re	@	0	(cbrt (* x.re y.im))
2.0ms	y.im	@	-inf	(pow (cbrt (* x.re y.im)) 3)
2.0ms	y.im	@	inf	(cbrt (* x.re y.im))
2.0ms	x.im	@	0	(/ (* x.im (/ (neg y.re) y.im)) y.im)

rewrite157.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

275×	`log1p-expm1-u`
275×	`expm1-log1p-u`
270×	`add-cube-cbrt`
269×	`add-exp-log`
268×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	422
1	622	384

Stop Event

1×	node limit

Counts

16 → 488

Calls

Call 1

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

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

simplify298.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

729×	`times-frac`
540×	`fma-define`
358×	`associate-*r/`
313×	`associate-*l/`
268×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1197	32918
1	2888	31115

Stop Event

1×	node limit

Counts

940 → 746

Calls

Call 1

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

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

eval228.0ms (1.6%)

Compiler: Compiled 15243 to 2854 computations (81.3% saved)

prune229.0ms (1.6%)

Pruning

25 alts after pruning (15 fresh and 10 done)

	Pruned	Kept	Total
New	852	5	857
Fresh	2	10	12
Picked	1	4	5
Done	0	6	6
Total	855	25	880

Accuracy

100.0%

Counts

880 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	54.5%	(fma.f64 #s(literal 1 binary64) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 (/.f64 y.im (hypot.f64 y.re y.im)) (/.f64 x.re (hypot.f64 y.re y.im)))))
	23.7%	(/.f64 (/.f64 (*.f64 y.re x.im) y.im) y.im)
	25.7%	(/.f64 (/.f64 x.im (/.f64 y.im y.re)) y.im)
	54.3%	(/.f64 (-.f64 (fma.f64 x.re (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64)) (*.f64 x.im (/.f64 y.re y.im))) x.re) y.im)
✓	55.0%	(/.f64 (-.f64 (*.f64 (/.f64 x.im y.im) y.re) x.re) y.im)
✓	61.5%	(/.f64 (-.f64 (.f64 x.im y.re) (pow.f64 (cbrt.f64 (.f64 x.re y.im)) #s(literal 3 binary64))) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
✓	61.8%	(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
	52.8%	(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
	51.5%	(/.f64 (+.f64 x.im (/.f64 (*.f64 y.im (neg.f64 x.re)) y.re)) y.re)
✓	39.2%	(/.f64 (.f64 x.re (neg.f64 y.im)) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
✓	9.2%	(/.f64 (*.f64 x.im (/.f64 (neg.f64 y.re) y.im)) y.im)
✓	25.7%	(/.f64 (*.f64 x.im (/.f64 y.re y.im)) y.im)
	31.8%	(/.f64 (.f64 x.im (/.f64 x.re (neg.f64 (/.f64 x.im y.im)))) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
✓	54.5%	(/.f64 (.f64 x.im (-.f64 y.re (.f64 x.re (/.f64 y.im x.im)))) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
	31.5%	(/.f64 (.f64 x.im (.f64 x.re (/.f64 y.im (neg.f64 x.im)))) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
✓	40.4%	(/.f64 (neg.f64 x.re) y.im)
	34.7%	(/.f64 (cbrt.f64 (pow.f64 (-.f64 (/.f64 x.im (/.f64 y.im y.re)) x.re) #s(literal 3 binary64))) y.im)
✓	11.0%	(/.f64 x.re y.im)
✓	42.5%	(/.f64 x.im y.re)
	42.6%	(/.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
	11.0%	(/.f64 #s(literal 1 binary64) (/.f64 y.im x.re))
	25.0%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y.im x.im) (/.f64 y.im y.re)))
	40.3%	(*.f64 x.re (/.f64 #s(literal -1 binary64) y.im))
	23.5%	(*.f64 x.im (/.f64 (/.f64 y.re y.im) y.im))
	42.4%	(*.f64 x.im (/.f64 #s(literal 1 binary64) y.re))

Compiler

Compiled 781 to 352 computations (54.9% saved)

regimes67.0ms (0.5%)

Counts

40 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
96.7%	1	`x.re`
96.7%	1	`x.im`
96.7%	1	`y.re`
96.7%	1	`y.im`
96.7%	1	`(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))`

Compiler

Compiled 39 to 27 computations (30.8% saved)

regimes157.0ms (1.1%)

Counts

39 → 5

Calls

Call 1

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

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

Calls

5 calls:

105.0ms	x.re
13.0ms	y.im
12.0ms	(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
11.0ms	x.im
11.0ms	y.re

Results

Accuracy	Segments	Branch
87.9%	4	`y.re`
82.3%	3	`x.re`
79.7%	3	`x.im`
92.1%	5	`y.im`
84.0%	4	`(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))`

Compiler

Compiled 39 to 27 computations (30.8% saved)

regimes18.0ms (0.1%)

Counts

38 → 5

Calls

Call 1

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

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

Calls

1 calls:

15.0ms

y.im

Results

Accuracy	Segments	Branch
92.0%	5	`y.im`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes27.0ms (0.2%)

Counts

37 → 4

Calls

Call 1

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

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

Calls

2 calls:

13.0ms	y.re
11.0ms	y.im

Results

Accuracy	Segments	Branch
85.0%	4	`y.re`
86.0%	5	`y.im`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes35.0ms (0.2%)

Counts

36 → 5

Calls

Call 1

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

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

Calls

2 calls:

22.0ms	y.re
11.0ms	y.im

Results

Accuracy	Segments	Branch
86.0%	5	`y.im`
83.4%	4	`y.re`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes51.0ms (0.4%)

Counts

33 → 5

Calls

Call 1

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

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

Calls

1 calls:

48.0ms

y.im

Results

Accuracy	Segments	Branch
86.0%	5	`y.im`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes12.0ms (0.1%)

Counts

30 → 5

Calls

Call 1

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

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

Calls

1 calls:

9.0ms

y.im

Results

Accuracy	Segments	Branch
86.0%	5	`y.im`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes26.0ms (0.2%)

Counts

25 → 3

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
81.4%	3	`y.re`
63.3%	4	`x.re`
77.8%	3	`y.im`

Compiler

Compiled 15 to 12 computations (20% saved)

regimes8.0ms (0.1%)

Counts

19 → 3

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

y.re

Results

Accuracy	Segments	Branch
80.8%	3	`y.re`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes20.0ms (0.1%)

Counts

17 → 3

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	y.re
6.0ms	x.im
6.0ms	y.im

Results

Accuracy	Segments	Branch
70.9%	3	`y.im`
59.8%	5	`x.im`
69.8%	3	`y.re`

Compiler

Compiled 15 to 12 computations (20% saved)

regimes14.0ms (0.1%)

Counts

16 → 3

Calls

Call 1

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

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

Calls

2 calls:

8.0ms	y.re
5.0ms	y.im

Results

Accuracy	Segments	Branch
63.7%	3	`y.re`
62.0%	3	`y.im`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes3.0ms (0%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

y.re

Results

Accuracy	Segments	Branch
63.5%	3	`y.re`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes7.0ms (0%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
42.5%	1	`x.im`
42.5%	1	`x.re`
45.6%	2	`y.im`
42.5%	1	`y.re`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

1.0ms	x.re
1.0ms	y.im

Results

Accuracy	Segments	Branch
42.5%	1	`x.re`
42.5%	1	`y.im`

Compiler

Compiled 10 to 8 computations (20% saved)

bsearch74.0ms (0.5%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
18.0ms	4.446866973606692e+112	1.0754677701248517e+120
17.0ms	2.6081585646629037e-196	4.8729208533205063e-194
15.0ms	-4.566096724592077e-111	-1.4449103909322662e-112
19.0ms	-8.881987848106294e+119	-1.0882082740112595e+113

Results

48.0ms

512×

valid

Compiler

Compiled 1320 to 767 computations (41.9% saved)

Precisions

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

ival-mult: 19.0ms (69.1% of total)

ival-div: 3.0ms (10.9% of total)

ival-sub: 2.0ms (7.3% of total)

ival-add: 2.0ms (7.3% of total)

const: 0.0ms (0% of total)

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

bsearch77.0ms (0.5%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
22.0ms	4.446866973606692e+112	1.0754677701248517e+120
18.0ms	8.407283746764599e-168	3.647163250634048e-164
13.0ms	-4.566096724592077e-111	-1.4449103909322662e-112
19.0ms	-8.881987848106294e+119	-1.0882082740112595e+113

Results

46.0ms

528×

valid

Compiler

Compiled 1427 to 857 computations (39.9% saved)

Precisions

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

ival-mult: 18.0ms (66.6% of total)

ival-sub: 3.0ms (11.1% of total)

ival-div: 3.0ms (11.1% of total)

ival-add: 2.0ms (7.4% of total)

const: 0.0ms (0% of total)

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

bsearch88.0ms (0.6%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
16.0ms	9.89857312758582e+30	2.0868148162843867e+37
59.0ms	-1.0909883512756549e-160	-3.378198701035677e-169
9.0ms	-4.2662119286009696e+87	-1.8064430941650184e+87

Results

72.0ms

368×

valid

Compiler

Compiled 835 to 500 computations (40.1% saved)

Precisions

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

ival-mult: 11.0ms (65.2% of total)

ival-sub: 2.0ms (11.9% of total)

ival-div: 2.0ms (11.9% of total)

ival-add: 2.0ms (11.9% of total)

const: 0.0ms (0% of total)

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

bsearch125.0ms (0.9%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
20.0ms	1.748871322709275e+63	3.1200271372746354e+67
68.0ms	1.4397603430350184e-121	1.2437747428917037e-120
13.0ms	-4.566096724592077e-111	-1.4449103909322662e-112
20.0ms	-8.881987848106294e+119	-1.0882082740112595e+113

Results

48.0ms

480×

valid

Compiler

Compiled 1029 to 630 computations (38.8% saved)

Precisions

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

ival-mult: 17.0ms (67.8% of total)

ival-div: 3.0ms (12% of total)

ival-sub: 2.0ms (8% of total)

ival-add: 2.0ms (8% of total)

const: 0.0ms (0% of total)

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

bsearch118.0ms (0.8%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
16.0ms	1.748871322709275e+63	3.1200271372746354e+67
11.0ms	1.4397603430350184e-121	1.2437747428917037e-120
70.0ms	-4.566096724592077e-111	-1.4449103909322662e-112
16.0ms	-8.881987848106294e+119	-1.0882082740112595e+113

Results

98.0ms

480×

valid

Compiler

Compiled 1043 to 644 computations (38.3% saved)

Precisions

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

ival-mult: 16.0ms (67.6% of total)

ival-div: 3.0ms (12.7% of total)

ival-sub: 2.0ms (8.5% of total)

ival-add: 2.0ms (8.5% of total)

const: 0.0ms (0% of total)

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

bsearch167.0ms (1.2%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
115.0ms	1.748871322709275e+63	3.1200271372746354e+67
12.0ms	1.4397603430350184e-121	1.2437747428917037e-120
12.0ms	-4.566096724592077e-111	-1.4449103909322662e-112
22.0ms	-8.881987848106294e+119	-1.0882082740112595e+113

Results

45.0ms

480×

valid

Compiler

Compiled 1059 to 660 computations (37.7% saved)

Precisions

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

ival-mult: 16.0ms (67.1% of total)

ival-div: 3.0ms (12.6% of total)

ival-sub: 2.0ms (8.4% of total)

ival-add: 2.0ms (8.4% 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
23.0ms	9.89857312758582e+30	2.0868148162843867e+37
13.0ms	-1.8064430941650184e+87	-9.807628889465605e+85

Results

28.0ms

256×

valid

Compiler

Compiled 481 to 312 computations (35.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-div: 9.0ms (47.9% of total)

ival-mult: 7.0ms (37.3% of total)

ival-sub: 1.0ms (5.3% of total)

ival-add: 1.0ms (5.3% of total)

const: 0.0ms (0% of total)

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

bsearch64.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
49.0ms	9.89857312758582e+30	2.0868148162843867e+37
13.0ms	-1.8064430941650184e+87	-9.807628889465605e+85

Results

53.0ms

256×

valid

Compiler

Compiled 474 to 305 computations (35.7% saved)

Precisions

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

ival-mult: 8.0ms (68% of total)

ival-div: 2.0ms (17% of total)

ival-sub: 1.0ms (8.5% of total)

ival-add: 1.0ms (8.5% of total)

const: 0.0ms (0% of total)

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

bsearch37.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	2.3444419869530975e+82	1.5716723416383058e+92
15.0ms	-3.106020406647498e+24	-3.2389335439679407e+21

Results

23.0ms

288×

valid

Compiler

Compiled 440 to 305 computations (30.7% saved)

Precisions

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

ival-mult: 8.0ms (60.6% of total)

ival-div: 2.0ms (15.1% of total)

ival-sub: 1.0ms (7.6% of total)

ival-add: 1.0ms (7.6% of total)

const: 0.0ms (0% of total)

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

bsearch53.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
31.0ms	1.3336804924411235e+42	1.4751288096926452e+44
19.0ms	-9.431316837222574e+44	-5.502551398752597e+31

Results

21.0ms

272×

valid

Compiler

Compiled 335 to 258 computations (23% saved)

Precisions

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

ival-mult: 8.0ms (67% of total)

ival-div: 2.0ms (16.8% of total)

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

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

const: 0.0ms (0% of total)

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

bsearch36.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.3336804924411235e+42	1.4751288096926452e+44
20.0ms	-9.431316837222574e+44	-5.502551398752597e+31

Results

24.0ms

272×

valid

Compiler

Compiled 315 to 238 computations (24.4% saved)

Precisions

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

ival-mult: 8.0ms (65.5% of total)

ival-div: 2.0ms (16.4% of total)

ival-sub: 1.0ms (8.2% of total)

ival-add: 1.0ms (8.2% of total)

const: 0.0ms (0% of total)

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

bsearch19.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	-8.881987848106294e+119	-1.0882082740112595e+113

Results

13.0ms

144×

valid

Compiler

Compiled 170 to 125 computations (26.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 4.0ms (62.5% of total)

ival-sub: 1.0ms (15.6% of total)

ival-div: 1.0ms (15.6% of total)

ival-add: 1.0ms (15.6% of total)

const: 0.0ms (0% of total)

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

simplify99.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

24×	`*-commutative`
22×	`+-commutative`
20×	`sub-neg`
16×	`neg-sub0`
16×	`neg-mul-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	166	2526
1	221	2526
2	267	2498
3	298	2498
4	315	2498
5	321	2498
6	322	2498

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 (/.f64 y.im (hypot.f64 y.re y.im)) (/.f64 x.re (hypot.f64 y.re y.im)))))
(if (<=.f64 y.im #s(literal -90000000000000000350467103756170148485337056706437273633758025410033070820458122217071245476653827143572240307039764480 binary64)) (/.f64 (-.f64 (.f64 x.im (/.f64 y.re y.im)) x.re) y.im) (if (<=.f64 y.im #s(literal -6281829775742471/43322963970637732180912721627235682866194329302747133987038743447103457934462900359999600095377180907771737671271930809827721216 binary64)) (fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (/.f64 (.f64 x.re y.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))) (if (<=.f64 y.im #s(literal 30821108798135/642106433294479187895628647812515706243937964211813215270786243050382343053842873793172184604197808987668819440451442591921317413352515120010719576495590924066799764542046459740193329819863612948155914518528 binary64)) (/.f64 (+.f64 x.im (/.f64 (.f64 x.re (neg.f64 y.im)) y.re)) y.re) (if (<=.f64 y.im #s(literal 4799999999999999794717104649215320196807081634165560114969211631736810287092189755197945974072109576236103489214742528 binary64)) (fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (/.f64 (.f64 x.re y.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))) (/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)))))
(if (<=.f64 y.im #s(literal -650000000000000010113620484153447965774330907998689931690350877280041957757091207122240503444780840989534082564096 binary64)) (/.f64 (-.f64 (.f64 x.im (/.f64 y.re y.im)) x.re) y.im) (if (<=.f64 y.im #s(literal -6281829775742471/43322963970637732180912721627235682866194329302747133987038743447103457934462900359999600095377180907771737671271930809827721216 binary64)) (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.im y.re)) (.f64 y.re (/.f64 x.im (hypot.f64 y.im y.re)))) (/.f64 (.f64 x.re y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (if (<=.f64 y.im #s(literal 2269266326731793/64836180763765514976756372870174392984569472378788076562432145776416450178326689787495422639798496785753091978301574830974924235553308989185732419283030682610330965678148586307584 binary64)) (/.f64 (+.f64 x.im (/.f64 (.f64 x.re (neg.f64 y.im)) y.re)) y.re) (if (<=.f64 y.im #s(literal 519999999999999978134310460694627056413674223796009725475272176310596036918318740307076125721172028322390793543531626496 binary64)) (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.im y.re)) (.f64 y.re (/.f64 x.im (hypot.f64 y.im y.re)))) (/.f64 (.f64 x.re y.im) (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64)))) (/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)))))
(if (<=.f64 y.re #s(literal -1950000000000000097547319167721640284739142449106331890104380756684968461914981259018240 binary64)) (/.f64 (+.f64 x.im (/.f64 (.f64 x.re (neg.f64 y.im)) y.re)) y.re) (if (<=.f64 y.re #s(literal -4457487427508879/506532662216918085755909163048237445191949002959281848144001138878253517018177263964807989373425756138696031080481053366991595590260226478013534525648677207893210669360535830528 binary64)) (/.f64 (fma.f64 x.im y.re (.f64 x.re (neg.f64 y.im))) (fma.f64 y.im y.im (.f64 y.re y.re))) (if (<=.f64 y.re #s(literal 9999999999999999635896294965248 binary64)) (/.f64 (-.f64 (.f64 x.im (/.f64 y.re y.im)) x.re) y.im) (fma.f64 #s(literal 1 binary64) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 (/.f64 y.im (hypot.f64 y.re y.im)) (/.f64 x.re (hypot.f64 y.re y.im))))))))
(if (<=.f64 y.im #s(literal -295000000000000011425186273139630955823188871834279889572736792768384829274136077494273812522988757137959531053056 binary64)) (/.f64 (-.f64 (.f64 x.im (/.f64 y.re y.im)) x.re) y.im) (if (<=.f64 y.im #s(literal -1164304656710889/5415370496329716522614090203404460358274291162843391748379842930887932241807862544999950011922147613471467208908991351228465152 binary64)) (/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (fma.f64 y.re y.re (.f64 y.im y.im))) (if (<=.f64 y.im #s(literal 6396180773801341/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248 binary64)) (/.f64 (+.f64 x.im (/.f64 (.f64 x.re (neg.f64 y.im)) y.re)) y.re) (if (<=.f64 y.im #s(literal 30000000000000000978680950144401383192292617328216608963406365458432 binary64)) (/.f64 (fma.f64 x.im y.re (.f64 x.re (neg.f64 y.im))) (fma.f64 y.im y.im (.f64 y.re y.re))) (/.f64 (-.f64 (.f64 x.im (/.f64 y.re y.im)) x.re) y.im)))))
(if (<=.f64 y.im #s(literal -44999999999999996325672276259984087347064608626205033795300814332962647300872793827018344147425288698402928592945152 binary64)) (/.f64 (-.f64 (.f64 x.im (/.f64 y.re y.im)) x.re) y.im) (if (<=.f64 y.im #s(literal -7581518694861603/43322963970637732180912721627235682866194329302747133987038743447103457934462900359999600095377180907771737671271930809827721216 binary64)) (/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (fma.f64 y.re y.re (.f64 y.im y.im))) (if (<=.f64 y.im #s(literal 2616619407464185/2907354897182427562197295231552018137414565442749272241125960796722557152453591693304764202855054262243050086425064711734138406514458624 binary64)) (/.f64 (+.f64 x.im (/.f64 (.f64 x.re (neg.f64 y.im)) y.re)) y.re) (if (<=.f64 y.im #s(literal 2600000000000000119739161467141160268945403104813161726474299899904 binary64)) (/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im))) (/.f64 (-.f64 (.f64 x.im (/.f64 y.re y.im)) x.re) y.im)))))
(if (<=.f64 y.im #s(literal -289999999999999984006755132704647686045570025879407515491270053701075205046179718853536395581214479605663786860544 binary64)) (/.f64 (-.f64 (.f64 x.im (/.f64 y.re y.im)) x.re) y.im) (if (<=.f64 y.im #s(literal -3682451937504207/5415370496329716522614090203404460358274291162843391748379842930887932241807862544999950011922147613471467208908991351228465152 binary64)) (/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im))) (if (<=.f64 y.im #s(literal 1802560036253105/11629419588729710248789180926208072549658261770997088964503843186890228609814366773219056811420217048972200345700258846936553626057834496 binary64)) (/.f64 (+.f64 x.im (/.f64 (.f64 x.re (neg.f64 y.im)) y.re)) y.re) (if (<=.f64 y.im #s(literal 30000000000000000978680950144401383192292617328216608963406365458432 binary64)) (/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im))) (/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)))))
(if (<=.f64 y.re #s(literal -204999999999999996097546175497785183914102950235228834701006239199421699508961160462336 binary64)) (/.f64 (+.f64 x.im (/.f64 (.f64 x.re (neg.f64 y.im)) y.re)) y.re) (if (<=.f64 y.re #s(literal 9999999999999999635896294965248 binary64)) (/.f64 (-.f64 (.f64 x.im (/.f64 y.re y.im)) x.re) y.im) (/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)))
(if (<=.f64 y.re #s(literal -100000000000000001463069523067487303097004298786465505927861078716979636425114821591040 binary64)) (/.f64 (-.f64 x.im (.f64 x.re (/.f64 y.im y.re))) y.re) (if (<=.f64 y.re #s(literal 11000000000000000500205849935872 binary64)) (/.f64 (-.f64 (.f64 x.im (/.f64 y.re y.im)) x.re) y.im) (/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)))
(if (<=.f64 y.im #s(literal -1550000000000000054525952 binary64)) (/.f64 (neg.f64 x.re) y.im) (if (<=.f64 y.im #s(literal 120000000000000001755683427680984763716405158543758607113433294460375563710137785909248 binary64)) (/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re) (/.f64 (neg.f64 x.re) y.im)))
(if (<=.f64 y.re #s(literal -470000000000000000979759320308251422097408 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 y.re x.im)) (if (<=.f64 y.re #s(literal 1350000000000000037384336378801607506132992 binary64)) (/.f64 (neg.f64 x.re) y.im) (/.f64 x.im y.re)))
(if (<=.f64 y.re #s(literal -2450000000000000068420579224453120 binary64)) (/.f64 x.im y.re) (if (<=.f64 y.re #s(literal 14500000000000000882956591198109594934050816 binary64)) (/.f64 (neg.f64 x.re) y.im) (/.f64 x.im y.re)))
(if (<=.f64 y.im #s(literal -819999999999999943466618265036993515779054590389025520974804305256313714586686865609977005094109659373591702221283655680 binary64)) (/.f64 x.re y.im) (/.f64 x.im y.re))
(/.f64 x.im y.re)

Outputs
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 (/.f64 y.im (hypot.f64 y.re y.im)) (/.f64 x.re (hypot.f64 y.re y.im)))))
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (*.f64 (/.f64 y.im (hypot.f64 y.re y.im)) (neg.f64 (/.f64 x.re (hypot.f64 y.re y.im)))))
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (*.f64 (/.f64 y.im (hypot.f64 y.re y.im)) (/.f64 x.re (neg.f64 (hypot.f64 y.re y.im)))))
(if (<=.f64 y.im #s(literal -90000000000000000350467103756170148485337056706437273633758025410033070820458122217071245476653827143572240307039764480 binary64)) (/.f64 (-.f64 (.f64 x.im (/.f64 y.re y.im)) x.re) y.im) (if (<=.f64 y.im #s(literal -6281829775742471/43322963970637732180912721627235682866194329302747133987038743447103457934462900359999600095377180907771737671271930809827721216 binary64)) (fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (/.f64 (.f64 x.re y.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))) (if (<=.f64 y.im #s(literal 30821108798135/642106433294479187895628647812515706243937964211813215270786243050382343053842873793172184604197808987668819440451442591921317413352515120010719576495590924066799764542046459740193329819863612948155914518528 binary64)) (/.f64 (+.f64 x.im (/.f64 (.f64 x.re (neg.f64 y.im)) y.re)) y.re) (if (<=.f64 y.im #s(literal 4799999999999999794717104649215320196807081634165560114969211631736810287092189755197945974072109576236103489214742528 binary64)) (fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (/.f64 (.f64 x.re y.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))) (/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)))))
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(/.f64 x.im y.re)

soundness2.9s (20.3%)

Rules

1255×	`fma-define`
922×	`log1p-expm1-u`
922×	`expm1-log1p-u`
795×	`fma-neg`
726×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1696	48853
1	4609	47161
0	715	41924
1	1724	39227
2	7028	39191
0	37	484
1	637	468
0	27	347
1	394	298
2	4632	298
0	70	1024
1	237	992
2	469	992
3	1150	992
4	3391	992
5	5801	992
6	6625	992
7	6734	992
8	6754	992
9	6770	992
10	7716	992
0	1277	45109
1	3458	42932
0	36	508
1	634	428

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 1983 to 476 computations (76% saved)

preprocess239.0ms (1.7%)

Compiler: Compiled 1264 to 332 computations (73.7% saved)

analyze34.0ms (0.2%)

sample1.3s (9.1%)

preprocess263.0ms (1.8%)

explain117.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify106.0ms (0.7%)

localize94.0ms (0.7%)

series47.0ms (0.3%)

rewrite565.0ms (3.9%)

simplify659.0ms (4.6%)

eval121.0ms (0.8%)

prune119.0ms (0.8%)

simplify458.0ms (3.2%)

localize138.0ms (1%)

series277.0ms (1.9%)

rewrite396.0ms (2.7%)

simplify888.0ms (6.2%)

eval383.0ms (2.7%)

prune245.0ms (1.7%)

simplify379.0ms (2.6%)

localize192.0ms (1.3%)

series90.0ms (0.6%)

rewrite342.0ms (2.4%)

simplify1.0s (7.2%)

eval161.0ms (1.1%)

prune204.0ms (1.4%)

simplify99.0ms (0.7%)

localize120.0ms (0.8%)

series59.0ms (0.4%)

rewrite157.0ms (1.1%)

simplify298.0ms (2.1%)

eval228.0ms (1.6%)

prune229.0ms (1.6%)

regimes67.0ms (0.5%)

regimes157.0ms (1.1%)

regimes18.0ms (0.1%)

regimes27.0ms (0.2%)

regimes35.0ms (0.2%)

regimes51.0ms (0.4%)

regimes12.0ms (0.1%)

regimes26.0ms (0.2%)

regimes8.0ms (0.1%)

regimes20.0ms (0.1%)

regimes14.0ms (0.1%)

regimes3.0ms (0%)

regimes7.0ms (0%)

regimes3.0ms (0%)

bsearch74.0ms (0.5%)

bsearch77.0ms (0.5%)

bsearch88.0ms (0.6%)

bsearch125.0ms (0.9%)

bsearch118.0ms (0.8%)

bsearch167.0ms (1.2%)

bsearch39.0ms (0.3%)

bsearch64.0ms (0.4%)

bsearch37.0ms (0.3%)

bsearch53.0ms (0.4%)

bsearch36.0ms (0.3%)

bsearch19.0ms (0.1%)

simplify99.0ms (0.7%)

soundness2.9s (20.3%)

preprocess239.0ms (1.7%)

end0.0ms (0%)

Profiling