Metrics for _divideComplex, imaginary part

analyze34.0ms (0.3%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
0%	0%	99.8%	0.2%	0%	0%	0%	4
75%	74.9%	25%	0.2%	0%	0%	0%	5
75%	74.9%	25%	0.2%	0%	0%	0%	6
75%	74.9%	25%	0.2%	0%	0%	0%	7
87.5%	87.3%	12.5%	0.2%	0%	0%	0%	8
93.8%	93.6%	6.2%	0.2%	0%	0%	0%	9
93.8%	93.6%	6.2%	0.2%	0%	0%	0%	10
93.8%	93.6%	6.2%	0.2%	0%	0%	0%	11
96.9%	96.7%	3.1%	0.2%	0%	0%	0%	12

Compiler

Compiled 20 to 12 computations (40% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 10.0ms (66.6% of total)

ival-sub: 2.0ms (13.3% of total)

ival-add: 2.0ms (13.3% of total)

ival-div: 1.0ms (6.7% of total)

const: 0.0ms (0% of total)

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

sample1.6s (11.5%)

Results

1.3s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 805.0ms

ival-mult: 552.0ms (68.5% of total)

ival-sub: 105.0ms (13% of total)

ival-div: 100.0ms (12.4% of total)

ival-add: 39.0ms (4.8% of total)

const: 7.0ms (0.9% of total)

backward-pass: 2.0ms (0.2% of total)

Bogosity

preprocess265.0ms (2%)

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)))

explain203.0ms (1.5%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
111	-	1	(-9.953675819246404e+110 4.539752706765994e+201 1.0742027878261117e-297 3.1542757387773224e-156)	`(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))`
4	-	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

146.0ms

512×

valid

Compiler

Compiled 119 to 35 computations (70.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 75.0ms

ival-mult: 66.0ms (88.5% of total)

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

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

ival-add: 2.0ms (2.7% of total)

const: 0.0ms (0% 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
▶	58.3%	(/.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)))
▶	58.3%	(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))

Compiler

Compiled 37 to 21 computations (43.2% saved)

simplify100.0ms (0.7%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	364
1	45	364
2	68	364
3	108	364
4	183	364
5	313	364
6	597	364
7	1028	364
8	1631	364
9	2631	364
10	3122	364
11	3174	364
12	3234	364
13	3234	364

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

localize71.0ms (0.5%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(neg.f64 y.im)
✓	accuracy	100.0%	(fma.f64 y.im y.im (*.f64 y.re y.re))
✓	accuracy	98.8%	(fma.f64 x.im y.re (*.f64 x.re (neg.f64 y.im)))
✓	accuracy	58.7%	(/.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.im y.re)
✓	accuracy	100.0%	(+.f64 (.f64 y.re y.re) (.f64 y.im y.im))
✓	accuracy	98.7%	(-.f64 (.f64 x.im y.re) (.f64 x.re y.im))
✓	accuracy	58.7%	(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))

Results

52.0ms

256×

valid

Compiler

Compiled 90 to 17 computations (81.1% saved)

Precisions

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

ival-mult: 15.0ms (54.1% of total)

ival-fma: 5.0ms (18% of total)

ival-div: 3.0ms (10.8% of total)

ival-sub: 1.0ms (3.6% of total)

ival-add: 1.0ms (3.6% of total)

ival-neg: 1.0ms (3.6% of total)

const: 0.0ms (0% of total)

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

series41.0ms (0.3%)

Counts

12 → 294

Calls

Call 1

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

87 calls:

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

rewrite390.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	297
1	385	257
2	4624	257

Stop Event

1×	node limit

Counts

12 → 435

Calls

Call 1

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

simplify469.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

397×	`times-frac`
338×	`associate-r`
334×	`fma-define`
310×	`associate-l`
303×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	739	33774
1	1768	31639
2	7037	31615

Stop Event

1×	node limit

Counts

729 → 471

Calls

Call 1

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

eval59.0ms (0.4%)

Compiler: Compiled 10196 to 1638 computations (83.9% saved)

prune239.0ms (1.8%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	466	19	485
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	467	20	487

Accuracy

99.5%

Counts

487 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.8%	(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
	68.6%	(fma.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (.f64 x.im y.re) (hypot.f64 y.re y.im)) (neg.f64 (.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
	52.8%	(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
	33.0%	(/.f64 (-.f64 (.f64 x.im y.re) (pow.f64 (sqrt.f64 (.f64 x.re y.im)) #s(literal 2 binary64))) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
	57.8%	(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 3 binary64)))
✓	58.3%	(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
	43.9%	(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (cbrt.f64 (pow.f64 y.im #s(literal 6 binary64)))))
	49.8%	(/.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) y.re)
	54.2%	(/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (.f64 x.im y.re) y.im)) y.im)
▶	46.3%	(/.f64 (+.f64 x.im (/.f64 (*.f64 (neg.f64 x.re) y.im) y.re)) y.re)
	50.3%	(/.f64 (.f64 y.re (-.f64 x.im (.f64 y.im (/.f64 x.re y.re)))) (fma.f64 y.im y.im (*.f64 y.re y.re)))
	52.6%	(/.f64 (.f64 x.re (-.f64 (/.f64 (.f64 x.im y.re) x.re) y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
	43.2%	(/.f64 (neg.f64 x.re) y.im)
▶	38.3%	(/.f64 x.im y.re)
	44.8%	(-.f64 (/.f64 x.im y.re) (*.f64 y.im (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))))
	43.7%	(.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)))
	35.7%	(*.f64 y.re (/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
▶	38.7%	(*.f64 x.im (/.f64 y.re (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64)))))
▶	50.5%	(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x.im (*.f64 x.re (/.f64 y.im y.re))) y.re))
	55.5%	(neg.f64 (/.f64 (+.f64 x.re (neg.f64 (*.f64 x.im (/.f64 y.re y.im)))) y.im))

Compiler

Compiled 653 to 405 computations (38% saved)

simplify402.0ms (3%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(pow.f64 y.im #s(literal 2 binary64))
✓	cost-diff	64	(fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64)))
✓	cost-diff	64	(/.f64 y.re (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64))))
✓	cost-diff	64	(*.f64 x.im (/.f64 y.re (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64)))))
✓	cost-diff	0	(*.f64 x.re (/.f64 y.im y.re))
✓	cost-diff	128	(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x.im (*.f64 x.re (/.f64 y.im y.re))) y.re))
✓	cost-diff	6400	(fma.f64 #s(literal -1 binary64) x.im (*.f64 x.re (/.f64 y.im y.re)))
✓	cost-diff	6400	(/.f64 (fma.f64 #s(literal -1 binary64) x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
✓	cost-diff	-6272	(/.f64 (+.f64 x.im (/.f64 (*.f64 (neg.f64 x.re) y.im) y.re)) y.re)
✓	cost-diff	0	(neg.f64 x.re)
✓	cost-diff	0	(*.f64 (neg.f64 x.re) y.im)
✓	cost-diff	0	(/.f64 (*.f64 (neg.f64 x.re) y.im) y.re)
✓	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 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))

Rules

1254×	`fma-neg`
461×	`fma-define`
448×	`unsub-neg`
284×	`distribute-lft-in`
272×	`distribute-lft-neg-in`

Iterations

Useful iterations: 11 (0.0ms)

Iter	Nodes	Cost
0	38	745
1	75	723
2	142	707
3	313	707
4	690	707
5	1578	689
6	3204	689
7	4777	689
8	5718	689
9	6133	689
10	6212	689
11	6214	683
12	6278	683
13	6548	683
14	6658	683
15	6658	683
16	6658	683
17	6658	683
18	6662	683
19	6666	683

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

localize232.0ms (1.7%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(pow.f64 y.im #s(literal 2 binary64))
✓	accuracy	100.0%	(fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64)))
✓	accuracy	95.5%	(*.f64 x.im (/.f64 y.re (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64)))))
✓	accuracy	71.0%	(/.f64 y.re (fma.f64 y.re y.re (pow.f64 y.im #s(literal 2 binary64))))
✓	accuracy	100.0%	(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x.im (*.f64 x.re (/.f64 y.im y.re))) y.re))
✓	accuracy	100.0%	(fma.f64 #s(literal -1 binary64) x.im (*.f64 x.re (/.f64 y.im y.re)))
✓	accuracy	98.8%	(/.f64 (fma.f64 #s(literal -1 binary64) x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
✓	accuracy	93.3%	(*.f64 x.re (/.f64 y.im y.re))
✓	accuracy	100.0%	(neg.f64 x.re)
✓	accuracy	100.0%	(+.f64 x.im (/.f64 (*.f64 (neg.f64 x.re) y.im) y.re))
✓	accuracy	98.8%	(/.f64 (+.f64 x.im (/.f64 (*.f64 (neg.f64 x.re) y.im) y.re)) y.re)
✓	accuracy	90.1%	(/.f64 (*.f64 (neg.f64 x.re) y.im) y.re)
✓	accuracy	100.0%	(/.f64 x.im y.re)
✓	accuracy	100.0%	(/.f64 y.re (hypot.f64 y.re y.im))
✓	accuracy	96.8%	(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
✓	accuracy	96.4%	(*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
✓	accuracy	69.7%	(/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))

Results

196.0ms

256×

valid

Compiler

Compiled 187 to 30 computations (84% saved)

Precisions

Click to see histograms. Total time spent on operations: 91.0ms

ival-div: 59.0ms (65.1% of total)

ival-fma: 8.0ms (8.8% of total)

ival-mult: 7.0ms (7.7% of total)

ival-hypot: 5.0ms (5.5% of total)

ival-pow: 5.0ms (5.5% of total)

ival-neg: 3.0ms (3.3% of total)

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

const: 1.0ms (1.1% of total)

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

series105.0ms (0.8%)

Counts

20 → 624

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

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

Calls

165 calls:

Time	Variable		Point	Expression
8.0ms	y.re	@	-inf	(/ (+ (* -1 x.im) (* x.re (/ y.im y.re))) y.re)
3.0ms	y.im	@	0	(/ y.re (sqrt (+ (* y.re y.re) (* y.im y.im))))
2.0ms	y.re	@	-inf	(/ y.re (+ (* y.re y.re) (pow y.im 2)))
2.0ms	y.re	@	-inf	(/ y.re (sqrt (+ (* y.re y.re) (* y.im y.im))))
2.0ms	y.im	@	-inf	(* x.re (/ y.im (pow (sqrt (+ (* y.re y.re) (* y.im y.im))) 2)))

rewrite184.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

267×	`log1p-expm1-u`
267×	`expm1-log1p-u`
263×	`add-exp-log`
263×	`add-log-exp`
262×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	597
1	628	535

Stop Event

1×	node limit

Counts

20 → 664

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

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

simplify703.0ms (5.2%)

Algorithm

1×	egg-herbie

Rules

517×	`*-commutative`
387×	`cancel-sign-sub-inv`
277×	`sub-neg`
256×	`distribute-rgt-neg-in`
246×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1848	55946
1	4912	54167

Stop Event

1×	node limit

Counts

1288 → 1195

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

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

eval443.0ms (3.3%)

Compiler: Compiled 31398 to 4944 computations (84.3% saved)

prune548.0ms (4.1%)

Pruning

28 alts after pruning (26 fresh and 2 done)

	Pruned	Kept	Total
New	1313	20	1333
Fresh	8	6	14
Picked	4	1	5
Done	0	1	1
Total	1325	28	1353

Accuracy

100.0%

Counts

1353 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.3%	(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (/.f64 x.re y.im)))
	47.2%	(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (pow.f64 (/.f64 (sqrt.f64 y.im) (hypot.f64 y.re y.im)) #s(literal 2 binary64)))))
▶	95.2%	(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)))))
	37.7%	(pow.f64 (cbrt.f64 (/.f64 x.im y.re)) #s(literal 3 binary64))
	37.0%	(/.f64 (/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) y.re) y.re)
	54.2%	(/.f64 (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re) y.im)
	52.8%	(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
	55.5%	(/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)
✓	58.3%	(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
	43.9%	(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (cbrt.f64 (pow.f64 y.im #s(literal 6 binary64)))))
	49.8%	(/.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) y.re)
▶	50.5%	(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
	20.6%	(/.f64 (+.f64 x.im (/.f64 (*.f64 (/.f64 (neg.f64 (pow.f64 x.re #s(literal 3 binary64))) (pow.f64 x.re #s(literal 2 binary64))) y.im) y.re)) y.re)
	36.9%	(/.f64 (+.f64 x.im (/.f64 (*.f64 (/.f64 (neg.f64 (pow.f64 x.re #s(literal 2 binary64))) x.re) y.im) y.re)) y.re)
	36.4%	(/.f64 (+.f64 x.im (/.f64 x.re (/.f64 y.re y.im))) y.re)
▶	50.3%	(/.f64 (.f64 y.re (-.f64 x.im (.f64 y.im (/.f64 x.re y.re)))) (fma.f64 y.im y.im (*.f64 y.re y.re)))
▶	43.2%	(/.f64 (neg.f64 x.re) y.im)
✓	38.3%	(/.f64 x.im y.re)
	38.2%	(/.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
	20.3%	(/.f64 #s(literal -1 binary64) (/.f64 y.re (fma.f64 x.re (/.f64 y.im y.re) x.im)))
	44.8%	(-.f64 (/.f64 x.im y.re) (*.f64 y.im (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))))
	20.2%	(*.f64 (neg.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im)) (/.f64 #s(literal 1 binary64) y.re))
	35.3%	(.f64 x.re (-.f64 (/.f64 x.im (.f64 x.re y.re)) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
▶	21.7%	(*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))))
	38.2%	(*.f64 x.im (/.f64 #s(literal 1 binary64) y.re))
	54.9%	(.f64 x.im (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 y.re (hypot.f64 y.re y.im))))
	19.1%	(neg.f64 (/.f64 (/.f64 (*.f64 x.re y.im) y.re) y.re))
	21.5%	(neg.f64 (/.f64 (/.f64 x.re (/.f64 y.re y.im)) y.re))

Compiler

Compiled 810 to 508 computations (37.3% saved)

simplify90.0ms (0.7%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(*.f64 y.re y.re)
✓	cost-diff	0	(/.f64 x.re y.re)
✓	cost-diff	0	(*.f64 y.im (/.f64 x.re y.re))
✓	cost-diff	0	(-.f64 x.im (*.f64 y.im (/.f64 x.re y.re)))
	cost-diff	0	(pow.f64 y.im #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))
✓	cost-diff	0	(*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))))
✓	cost-diff	0	(/.f64 y.im y.re)
	cost-diff	0	(*.f64 x.re (/.f64 y.im y.re))
✓	cost-diff	0	(-.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))
✓	cost-diff	0	(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
	cost-diff	0	(neg.f64 x.re)
✓	cost-diff	0	(/.f64 (neg.f64 x.re) y.im)
✓	cost-diff	64	(/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re))
✓	cost-diff	64	(*.f64 x.re (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)))
✓	cost-diff	64	(neg.f64 (*.f64 x.re (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re))))
✓	cost-diff	13248	(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)))))

Rules

554×	`unsub-neg`
552×	`fma-neg`
494×	`div-sub`
383×	`associate-*r/`
371×	`distribute-lft-in`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	39	843
1	88	805
2	197	791
3	426	791
4	1006	724
5	2213	724
6	4319	724
7	6800	724

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

localize257.0ms (1.9%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 x.im (*.f64 y.im (/.f64 x.re y.re)))
✓	accuracy	92.0%	(*.f64 y.im (/.f64 x.re y.re))
✓	accuracy	91.0%	(.f64 y.re (-.f64 x.im (.f64 y.im (/.f64 x.re y.re))))
✓	accuracy	58.7%	(/.f64 (.f64 y.re (-.f64 x.im (.f64 y.im (/.f64 x.re y.re)))) (fma.f64 y.im y.im (*.f64 y.re y.re)))
	accuracy	100.0%	(pow.f64 y.im #s(literal 2 binary64))
✓	accuracy	90.4%	(*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))))
✓	accuracy	88.5%	(/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))
✓	accuracy	100.0%	(/.f64 y.im y.re)
✓	accuracy	100.0%	(-.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))
✓	accuracy	98.8%	(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
	accuracy	93.3%	(*.f64 x.re (/.f64 y.im y.re))
✓	accuracy	100.0%	(/.f64 (neg.f64 x.re) y.im)
	accuracy	100.0%	(neg.f64 x.re)
	accuracy	100.0%	(/.f64 y.re (hypot.f64 y.re y.im))
✓	accuracy	99.9%	(/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re))
✓	accuracy	96.8%	(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)))))
✓	accuracy	96.4%	(*.f64 x.re (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)))

Results

223.0ms

256×

valid

Compiler

Compiled 193 to 31 computations (83.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 179.0ms

ival-neg: 77.0ms (43% of total)

ival-mult: 62.0ms (34.6% of total)

ival-div: 19.0ms (10.6% of total)

ival-hypot: 9.0ms (5% of total)

ival-fma: 5.0ms (2.8% of total)

ival-pow: 4.0ms (2.2% of total)

ival-sub: 2.0ms (1.1% of total)

const: 0.0ms (0% of total)

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

series68.0ms (0.5%)

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

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

Calls

138 calls:

Time	Variable		Point	Expression
8.0ms	y.im	@	0	(* y.im (/ x.re y.re))
2.0ms	y.im	@	0	(/ (- x.im (* x.re (/ y.im y.re))) y.re)
1.0ms	x.im	@	-inf	(/ (* y.re (- x.im (* y.im (/ x.re y.re)))) (+ (* y.im y.im) (* y.re y.re)))
1.0ms	x.im	@	inf	(* x.im (/ y.re (pow y.im 2)))
1.0ms	x.re	@	0	(/ (neg x.re) y.im)

rewrite168.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

315×	`log1p-expm1-u`
315×	`expm1-log1p-u`
312×	`add-exp-log`
312×	`add-log-exp`
312×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	544
1	687	495

Stop Event

1×	node limit

Counts

15 → 390

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

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

simplify539.0ms (4%)

Algorithm

1×	egg-herbie

Rules

529×	`fma-define`
502×	`associate-r`
316×	`times-frac`
295×	`*-commutative`
222×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1304	39996
1	3490	37106

Stop Event

1×	node limit

Counts

870 → 783

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

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

eval247.0ms (1.8%)

Compiler: Compiled 20952 to 3509 computations (83.3% saved)

prune296.0ms (2.2%)

Pruning

38 alts after pruning (33 fresh and 5 done)

	Pruned	Kept	Total
New	924	16	940
Fresh	4	17	21
Picked	2	3	5
Done	0	2	2
Total	930	38	968

Accuracy

100.0%

Counts

968 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.2%	(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (pow.f64 (/.f64 (sqrt.f64 y.im) (hypot.f64 y.re y.im)) #s(literal 2 binary64)))))
▶	95.2%	(fma.f64 (log1p.f64 (expm1.f64 (/.f64 y.re (hypot.f64 y.re y.im)))) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)))))
	37.7%	(pow.f64 (cbrt.f64 (/.f64 x.im y.re)) #s(literal 3 binary64))
	35.7%	(/.f64 (pow.f64 (cbrt.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))) #s(literal 3 binary64)) y.re)
	37.0%	(/.f64 (/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) y.re) y.re)
	54.2%	(/.f64 (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re) y.im)
	52.8%	(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
	55.5%	(/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)
✓	58.3%	(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
	43.9%	(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (cbrt.f64 (pow.f64 y.im #s(literal 6 binary64)))))
▶	50.3%	(/.f64 (-.f64 x.im (*.f64 x.re (pow.f64 (cbrt.f64 (/.f64 y.im y.re)) #s(literal 3 binary64)))) y.re)
✓	50.5%	(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
	38.5%	(/.f64 (-.f64 x.im (*.f64 x.re (-.f64 (exp.f64 (log1p.f64 (/.f64 y.im y.re))) #s(literal 1 binary64)))) y.re)
	50.5%	(/.f64 (-.f64 x.im (.f64 x.re (.f64 y.im (/.f64 #s(literal 1 binary64) y.re)))) y.re)
	36.4%	(/.f64 (+.f64 (+.f64 x.im (.f64 x.re (/.f64 y.im y.re))) (fma.f64 x.re (/.f64 y.im y.re) (.f64 x.re (/.f64 y.im y.re)))) y.re)
	36.4%	(/.f64 (+.f64 x.im (fma.f64 x.re (/.f64 y.im y.re) (.f64 #s(literal 2 binary64) (.f64 x.re (/.f64 y.im y.re))))) y.re)
	36.9%	(/.f64 (+.f64 x.im (/.f64 (*.f64 (/.f64 (neg.f64 (pow.f64 x.re #s(literal 2 binary64))) x.re) y.im) y.re)) y.re)
	36.4%	(/.f64 (+.f64 x.im (/.f64 x.re (/.f64 y.re y.im))) y.re)
	24.1%	(/.f64 (*.f64 (sqrt.f64 x.re) (neg.f64 (sqrt.f64 x.re))) y.im)
✓	50.3%	(/.f64 (.f64 y.re (-.f64 x.im (.f64 y.im (/.f64 x.re y.re)))) (fma.f64 y.im y.im (*.f64 y.re y.re)))
	21.0%	(/.f64 (*.f64 y.im (/.f64 (neg.f64 x.re) y.re)) y.re)
▶	21.5%	(/.f64 (*.f64 x.re (/.f64 y.im (neg.f64 y.re))) y.re)
✓	43.2%	(/.f64 (neg.f64 x.re) y.im)
▶	10.8%	(/.f64 x.re y.im)
✓	38.3%	(/.f64 x.im y.re)
	38.2%	(/.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
	10.8%	(/.f64 #s(literal 1 binary64) (/.f64 y.im x.re))
▶	20.3%	(/.f64 #s(literal -1 binary64) (/.f64 y.re (fma.f64 x.re (/.f64 y.im y.re) x.im)))
	44.8%	(-.f64 (/.f64 x.im y.re) (*.f64 y.im (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))))
	77.6%	(.f64 (/.f64 (-.f64 x.im (.f64 y.im (/.f64 x.re y.re))) (hypot.f64 y.im y.re)) (/.f64 y.re (hypot.f64 y.im y.re)))
	63.8%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.im y.re)) (/.f64 (.f64 y.re (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re)))) (hypot.f64 y.im y.re)))
	35.3%	(.f64 x.re (-.f64 (/.f64 x.im (.f64 x.re y.re)) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
	22.2%	(*.f64 x.im (/.f64 (/.f64 y.re y.im) y.im))
	21.7%	(.f64 x.im (/.f64 y.re (.f64 y.im y.im)))
	38.2%	(*.f64 x.im (/.f64 #s(literal 1 binary64) y.re))
	54.9%	(.f64 x.im (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 y.re (hypot.f64 y.re y.im))))
	19.1%	(neg.f64 (/.f64 (/.f64 (*.f64 x.re y.im) y.re) y.re))
	21.5%	(neg.f64 (/.f64 (/.f64 x.re (/.f64 y.re y.im)) y.re))

Compiler

Compiled 1069 to 665 computations (37.8% saved)

simplify186.0ms (1.4%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	6528	(-.f64 x.im (*.f64 x.re (pow.f64 (cbrt.f64 (/.f64 y.im y.re)) #s(literal 3 binary64))))
✓	cost-diff	6528	(/.f64 (-.f64 x.im (*.f64 x.re (pow.f64 (cbrt.f64 (/.f64 y.im y.re)) #s(literal 3 binary64)))) y.re)
✓	cost-diff	12864	(pow.f64 (cbrt.f64 (/.f64 y.im y.re)) #s(literal 3 binary64))
✓	cost-diff	12864	(*.f64 x.re (pow.f64 (cbrt.f64 (/.f64 y.im y.re)) #s(literal 3 binary64)))
	cost-diff	0	(/.f64 y.im y.re)
✓	cost-diff	0	(fma.f64 x.re (/.f64 y.im y.re) x.im)
✓	cost-diff	0	(/.f64 y.re (fma.f64 x.re (/.f64 y.im y.re) x.im))
✓	cost-diff	64	(/.f64 #s(literal -1 binary64) (/.f64 y.re (fma.f64 x.re (/.f64 y.im y.re) x.im)))
✓	cost-diff	0	(neg.f64 y.re)
✓	cost-diff	0	(/.f64 y.im (neg.f64 y.re))
✓	cost-diff	0	(*.f64 x.re (/.f64 y.im (neg.f64 y.re)))
✓	cost-diff	0	(/.f64 (*.f64 x.re (/.f64 y.im (neg.f64 y.re))) y.re)
✓	cost-diff	0	(/.f64 x.re y.im)
	cost-diff	6400	(*.f64 x.re (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)))
	cost-diff	6400	(neg.f64 (*.f64 x.re (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re))))
✓	cost-diff	12800	(log1p.f64 (expm1.f64 (/.f64 y.re (hypot.f64 y.re y.im))))
✓	cost-diff	32256	(fma.f64 (log1p.f64 (expm1.f64 (/.f64 y.re (hypot.f64 y.re y.im)))) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)))))

Rules

1758×	`fma-define`
616×	`fma-neg`
425×	`distribute-lft-neg-in`
377×	`div-sub`
281×	`associate-/r*`

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	40	808
1	91	792
2	212	790
3	541	786
4	1252	786
5	2176	786
6	3613	786
7	4666	764
8	6332	760
9	7225	760
10	7483	760
11	7503	760

Stop Event

1×	node limit

Calls

Call 1

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

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

localize166.0ms (1.2%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.2%	(pow.f64 (cbrt.f64 (/.f64 y.im y.re)) #s(literal 3 binary64))
✓	accuracy	98.8%	(/.f64 (-.f64 x.im (*.f64 x.re (pow.f64 (cbrt.f64 (/.f64 y.im y.re)) #s(literal 3 binary64)))) y.re)
✓	accuracy	93.3%	(*.f64 x.re (pow.f64 (cbrt.f64 (/.f64 y.im y.re)) #s(literal 3 binary64)))
✓	accuracy	75.9%	(cbrt.f64 (/.f64 y.im y.re))
	accuracy	100.0%	(/.f64 y.im y.re)
✓	accuracy	99.7%	(/.f64 #s(literal -1 binary64) (/.f64 y.re (fma.f64 x.re (/.f64 y.im y.re) x.im)))
✓	accuracy	98.8%	(/.f64 y.re (fma.f64 x.re (/.f64 y.im y.re) x.im))
✓	accuracy	95.1%	(fma.f64 x.re (/.f64 y.im y.re) x.im)
✓	accuracy	100.0%	(/.f64 y.im (neg.f64 y.re))
✓	accuracy	100.0%	(neg.f64 y.re)
✓	accuracy	97.4%	(/.f64 (*.f64 x.re (/.f64 y.im (neg.f64 y.re))) y.re)
✓	accuracy	93.3%	(*.f64 x.re (/.f64 y.im (neg.f64 y.re)))
✓	accuracy	100.0%	(/.f64 x.re y.im)
	accuracy	99.9%	(/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re))
✓	accuracy	99.7%	(expm1.f64 (/.f64 y.re (hypot.f64 y.re y.im)))
✓	accuracy	96.8%	(fma.f64 (log1p.f64 (expm1.f64 (/.f64 y.re (hypot.f64 y.re y.im)))) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)))))
	accuracy	96.4%	(*.f64 x.re (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)))

Results

128.0ms

256×

valid

Compiler

Compiled 208 to 32 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

ival-div: 30.0ms (44.5% of total)

ival-hypot: 11.0ms (16.3% of total)

ival-pow: 6.0ms (8.9% of total)

ival-mult: 5.0ms (7.4% of total)

ival-fma: 5.0ms (7.4% of total)

ival-expm1: 2.0ms (3% of total)

ival-cbrt: 2.0ms (3% of total)

ival-log1p: 2.0ms (3% of total)

ival-neg: 2.0ms (3% of total)

ival-sub: 1.0ms (1.5% of total)

const: 1.0ms (1.5% of total)

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

series219.0ms (1.6%)

Counts

16 → 512

Calls

Call 1

Inputs
#<alt (fma.f64 (log1p.f64 (expm1.f64 (/.f64 y.re (hypot.f64 y.re y.im)))) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)))))>
#<alt (log1p.f64 (expm1.f64 (/.f64 y.re (hypot.f64 y.re y.im))))>
#<alt (/.f64 x.re y.im)>
#<alt (/.f64 (*.f64 x.re (/.f64 y.im (neg.f64 y.re))) y.re)>
#<alt (*.f64 x.re (/.f64 y.im (neg.f64 y.re)))>
#<alt (/.f64 y.im (neg.f64 y.re))>
#<alt (neg.f64 y.re)>
#<alt (/.f64 #s(literal -1 binary64) (/.f64 y.re (fma.f64 x.re (/.f64 y.im y.re) x.im)))>
#<alt (/.f64 y.re (fma.f64 x.re (/.f64 y.im y.re) x.im))>
#<alt (fma.f64 x.re (/.f64 y.im y.re) x.im)>
#<alt (*.f64 x.re (pow.f64 (cbrt.f64 (/.f64 y.im y.re)) #s(literal 3 binary64)))>
#<alt (pow.f64 (cbrt.f64 (/.f64 y.im y.re)) #s(literal 3 binary64))>
#<alt (/.f64 (-.f64 x.im (*.f64 x.re (pow.f64 (cbrt.f64 (/.f64 y.im y.re)) #s(literal 3 binary64)))) y.re)>
#<alt (-.f64 x.im (*.f64 x.re (pow.f64 (cbrt.f64 (/.f64 y.im y.re)) #s(literal 3 binary64))))>
#<alt (expm1.f64 (/.f64 y.re (hypot.f64 y.re y.im)))>
#<alt (cbrt.f64 (/.f64 y.im y.re))>

Outputs
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))>
#<alt (-.f64 (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64))) (/.f64 x.re y.im))>
#<alt (-.f64 (.f64 y.re (+.f64 (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (/.f64 (.f64 x.re y.re) (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.re y.im))>
#<alt (-.f64 (.f64 y.re (+.f64 (.f64 y.re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.re) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 x.re (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 x.re y.im))>
#<alt (/.f64 x.im y.re)>
#<alt (/.f64 (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) y.re))) y.re)>
#<alt (/.f64 (-.f64 (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.re y.im) y.re)) y.re)>
#<alt (/.f64 (-.f64 (+.f64 x.im (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 3 binary64)))) (+.f64 (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64))) (/.f64 (*.f64 x.re y.im) y.re))) y.re)>
#<alt (/.f64 x.im y.re)>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.im) (/.f64 (*.f64 x.re y.im) y.re)) y.re))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.im) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) y.re)) (.f64 x.re y.im)) y.re))) y.re))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.im) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) y.re)) (.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))) y.re)) (.f64 x.re y.im)) y.re))) y.re))>
#<alt (/.f64 x.im y.re)>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im y.re))>
#<alt (+.f64 (.f64 y.im (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 x.im y.re))>
#<alt (+.f64 (.f64 y.im (-.f64 (.f64 y.im (-.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 4 binary64))) (/.f64 x.im (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 x.im y.re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))>
#<alt (/.f64 (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re) y.im)>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 (.f64 x.im y.re) y.im) (/.f64 (.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) x.re) y.im)>
#<alt (/.f64 (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 3 binary64)))) (+.f64 (/.f64 (.f64 x.im y.re) y.im) (/.f64 (.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))))) x.re) y.im)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.re) y.im)) (.f64 #s(literal -1 binary64) x.re)) y.im))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 x.im y.re) (/.f64 (.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) y.im)) y.im)) (*.f64 #s(literal -1 binary64) x.re)) y.im))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) y.im) (.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) y.im)) (.f64 x.im y.re)) y.im)) (*.f64 #s(literal -1 binary64) x.re)) y.im))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (-.f64 (/.f64 (.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (-.f64 (/.f64 (.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (-.f64 (/.f64 (.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))>
#<alt (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (.f64 x.re (-.f64 (/.f64 (.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (.f64 x.re (-.f64 (/.f64 (.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (.f64 x.re (-.f64 (/.f64 (.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.re (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.re) (.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.re (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.re) (.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.re (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.re) (.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))>
#<alt (/.f64 y.re y.im)>
#<alt (.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)))>
#<alt (.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)))>
#<alt (.f64 y.re (+.f64 (.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -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)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (.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))))))>
#<alt (+.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)))))))>
#<alt #s(literal -1 binary64)>
#<alt (-.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))>
#<alt (-.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))>
#<alt (-.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))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (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)))))))>
#<alt (+.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)))))))>
#<alt (/.f64 y.re y.im)>
#<alt (/.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)>
#<alt (/.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)>
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#<alt (-.f64 (+.f64 (exp.f64 #s(literal 1 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 y.im #s(literal 2 binary64)) (exp.f64 #s(literal 1 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (+.f64 (/.f64 (.f64 (exp.f64 #s(literal 1 binary64)) (+.f64 (.f64 #s(literal -1/2 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))))) (.f64 #s(literal 1/8 binary64) (pow.f64 y.im #s(literal 4 binary64))))) (pow.f64 y.re #s(literal 4 binary64))) (/.f64 (.f64 (exp.f64 #s(literal 1 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (+.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)))) (+.f64 (.f64 #s(literal -1/48 binary64) (pow.f64 y.im #s(literal 6 binary64))) (.f64 #s(literal 1/4 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.re #s(literal 6 binary64)))))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 #s(literal -1 binary64)) #s(literal 1 binary64))>
#<alt (-.f64 (+.f64 (exp.f64 #s(literal -1 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 y.im #s(literal 2 binary64)) (exp.f64 #s(literal -1 binary64))) (pow.f64 y.re #s(literal 2 binary64))))) #s(literal 1 binary64))>
#<alt (-.f64 (+.f64 (exp.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 y.im #s(literal 2 binary64)) (exp.f64 #s(literal -1 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (.f64 (exp.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 y.im #s(literal 4 binary64))) (.f64 #s(literal 1/2 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.re #s(literal 4 binary64))))) #s(literal 1 binary64))>
#<alt (-.f64 (+.f64 (exp.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 y.im #s(literal 2 binary64)) (exp.f64 #s(literal -1 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (+.f64 (/.f64 (.f64 (exp.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal 1/48 binary64) (pow.f64 y.im #s(literal 6 binary64))) (+.f64 (.f64 #s(literal 1/4 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)))))) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64)))))) (pow.f64 y.im #s(literal 6 binary64))))))) (pow.f64 y.re #s(literal 6 binary64))) (/.f64 (.f64 (exp.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal 1/8 binary64) (pow.f64 y.im #s(literal 4 binary64))) (.f64 #s(literal 1/2 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.re #s(literal 4 binary64)))))) #s(literal 1 binary64))>
#<alt (-.f64 (exp.f64 #s(literal 1 binary64)) #s(literal 1 binary64))>
#<alt (-.f64 (+.f64 (exp.f64 #s(literal 1 binary64)) (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (pow.f64 y.im #s(literal 2 binary64)) (exp.f64 #s(literal 1 binary64))) (pow.f64 y.re #s(literal 2 binary64))))) #s(literal 1 binary64))>
#<alt (-.f64 (+.f64 (exp.f64 #s(literal 1 binary64)) (.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 #s(literal 1 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 y.im #s(literal 2 binary64)) (exp.f64 #s(literal 1 binary64))) (pow.f64 y.re #s(literal 4 binary64))))))) #s(literal 1 binary64))>
#<alt (-.f64 (+.f64 (exp.f64 #s(literal 1 binary64)) (.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 #s(literal 1 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -25/48 binary64) (/.f64 (.f64 (pow.f64 y.im #s(literal 2 binary64)) (exp.f64 #s(literal 1 binary64))) (pow.f64 y.re #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 #s(literal 1 binary64)) (pow.f64 y.re #s(literal 4 binary64))))))))) #s(literal 1 binary64))>
#<alt (/.f64 y.re y.im)>
#<alt (/.f64 (+.f64 y.re (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im))) y.im)>
#<alt (/.f64 (+.f64 y.re (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 3 binary64)) (pow.f64 y.im #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 y.re #s(literal 3 binary64)) (pow.f64 y.im #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im))))) y.im)>
#<alt (/.f64 (+.f64 y.re (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 3 binary64)) (pow.f64 y.im #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 y.re #s(literal 4 binary64)) (pow.f64 y.im #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 y.re #s(literal 3 binary64)) (pow.f64 y.im #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im))))))) y.im)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y.re y.im))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 y.re (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) y.im))) y.im))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 y.re (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 y.re #s(literal 3 binary64))) (.f64 #s(literal 1/6 binary64) (pow.f64 y.re #s(literal 3 binary64)))) y.im)) (.f64 #s(literal 1/2 binary64) (pow.f64 y.re #s(literal 2 binary64)))) y.im))) y.im))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 y.re (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 y.re #s(literal 4 binary64))) (.f64 #s(literal 1/24 binary64) (pow.f64 y.re #s(literal 4 binary64)))) y.im)) (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 y.re #s(literal 3 binary64))) (.f64 #s(literal 1/6 binary64) (pow.f64 y.re #s(literal 3 binary64))))) y.im)) (*.f64 #s(literal 1/2 binary64) (pow.f64 y.re #s(literal 2 binary64)))) y.im))) y.im))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 (/.f64 y.im y.re)) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 (/.f64 y.im y.re)) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 (/.f64 y.im y.re)) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (cbrt.f64 (/.f64 y.im y.re)) (cbrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 (cbrt.f64 (/.f64 y.im y.re)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (cbrt.f64 (/.f64 y.im y.re)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (cbrt.f64 (/.f64 y.im y.re)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (cbrt.f64 (/.f64 y.im y.re)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>

Calls

138 calls:

Time	Variable		Point	Expression
135.0ms	x.re	@	inf	(/ x.re y.im)
14.0ms	y.re	@	-inf	(- (exp (/ y.re (sqrt (+ (* y.re y.re) (* y.im y.im))))) 1)
3.0ms	y.im	@	-inf	(* x.re (pow (cbrt (/ y.im y.re)) 3))
3.0ms	x.im	@	inf	(/ y.re (+ (* x.re (/ y.im y.re)) x.im))
3.0ms	y.re	@	-inf	(* x.re (pow (cbrt (/ y.im y.re)) 3))

rewrite198.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

293×	`log1p-expm1-u`
291×	`expm1-log1p-u`
287×	`add-cube-cbrt`
286×	`add-exp-log`
286×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	486
1	667	436

Stop Event

1×	node limit

Counts

16 → 426

Calls

Call 1

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

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

simplify750.0ms (5.6%)

Algorithm

1×	egg-herbie

Rules

778×	`fma-define`
404×	`*-commutative`
237×	`sub-neg`
235×	`cancel-sign-sub-inv`
205×	`mul-1-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1557	39044
1	4362	37754

Stop Event

1×	node limit

Counts

938 → 874

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

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

eval430.0ms (3.2%)

Compiler: Compiled 28520 to 4875 computations (82.9% saved)

prune435.0ms (3.2%)

Pruning

38 alts after pruning (30 fresh and 8 done)

	Pruned	Kept	Total
New	1150	8	1158
Fresh	6	22	28
Picked	2	3	5
Done	0	5	5
Total	1158	38	1196

Accuracy

100.0%

Counts

1196 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.2%	(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (pow.f64 (/.f64 (sqrt.f64 y.im) (hypot.f64 y.re y.im)) #s(literal 2 binary64)))))
✓	95.2%	(fma.f64 (log1p.f64 (expm1.f64 (/.f64 y.re (hypot.f64 y.re y.im)))) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)))))
	37.7%	(pow.f64 (cbrt.f64 (/.f64 x.im y.re)) #s(literal 3 binary64))
	45.6%	(/.f64 (pow.f64 (cbrt.f64 (-.f64 x.im (/.f64 (*.f64 x.re y.im) y.re))) #s(literal 3 binary64)) y.re)
	37.0%	(/.f64 (/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) y.re) y.re)
	19.1%	(/.f64 (/.f64 (neg.f64 (*.f64 x.re y.im)) y.re) y.re)
	54.2%	(/.f64 (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re) y.im)
	52.8%	(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
	55.5%	(/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)
✓	58.3%	(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
	43.9%	(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (*.f64 y.re y.re) (cbrt.f64 (pow.f64 y.im #s(literal 6 binary64)))))
✓	50.5%	(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
	36.4%	(/.f64 (+.f64 (+.f64 x.im (.f64 x.re (/.f64 y.im y.re))) (fma.f64 x.re (/.f64 y.im y.re) (.f64 x.re (/.f64 y.im y.re)))) y.re)
	36.4%	(/.f64 (+.f64 x.im (fma.f64 x.re (/.f64 y.im y.re) (.f64 #s(literal 2 binary64) (.f64 x.re (/.f64 y.im y.re))))) y.re)
	36.9%	(/.f64 (+.f64 x.im (/.f64 (*.f64 (/.f64 (neg.f64 (pow.f64 x.re #s(literal 2 binary64))) x.re) y.im) y.re)) y.re)
	36.4%	(/.f64 (+.f64 x.im (/.f64 x.re (/.f64 y.re y.im))) y.re)
	24.1%	(/.f64 (*.f64 (sqrt.f64 x.re) (neg.f64 (sqrt.f64 x.re))) y.im)
✓	50.3%	(/.f64 (.f64 y.re (-.f64 x.im (.f64 y.im (/.f64 x.re y.re)))) (fma.f64 y.im y.im (*.f64 y.re y.re)))
	21.0%	(/.f64 (*.f64 y.im (/.f64 (neg.f64 x.re) y.re)) y.re)
✓	21.5%	(/.f64 (*.f64 x.re (/.f64 y.im (neg.f64 y.re))) y.re)
	21.5%	(/.f64 (.f64 x.re (.f64 y.im (/.f64 #s(literal -1 binary64) y.re))) y.re)
✓	43.2%	(/.f64 (neg.f64 x.re) y.im)
	8.1%	(/.f64 (neg.f64 x.im) y.re)
✓	10.8%	(/.f64 x.re y.im)
✓	38.3%	(/.f64 x.im y.re)
	10.8%	(/.f64 #s(literal 1 binary64) (/.f64 y.im x.re))
	21.5%	(/.f64 #s(literal -1 binary64) (/.f64 y.re (*.f64 x.re (/.f64 y.im y.re))))
	8.1%	(/.f64 #s(literal -1 binary64) (/.f64 y.re x.im))
	44.8%	(-.f64 (/.f64 x.im y.re) (*.f64 y.im (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))))
	77.6%	(.f64 (/.f64 (-.f64 x.im (.f64 y.im (/.f64 x.re y.re))) (hypot.f64 y.im y.re)) (/.f64 y.re (hypot.f64 y.im y.re)))
	63.8%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.im y.re)) (/.f64 (.f64 y.re (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re)))) (hypot.f64 y.im y.re)))
	38.0%	(*.f64 x.re (-.f64 (/.f64 (/.f64 x.im x.re) y.re) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
	22.2%	(*.f64 x.im (/.f64 (/.f64 y.re y.im) y.im))
	21.7%	(.f64 x.im (/.f64 y.re (.f64 y.im y.im)))
	38.2%	(*.f64 x.im (/.f64 #s(literal 1 binary64) y.re))
	54.9%	(.f64 x.im (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 y.re (hypot.f64 y.re y.im))))
	21.5%	(neg.f64 (/.f64 (/.f64 x.re (/.f64 y.re y.im)) y.re))
	35.7%	(expm1.f64 (log1p.f64 (/.f64 (-.f64 x.im (/.f64 (*.f64 x.re y.im) y.re)) y.re)))

Compiler

Compiled 1314 to 577 computations (56.1% saved)

regimes708.0ms (5.2%)

Counts

65 → 1

Calls

Call 1

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

Outputs
(fma.f64 (log1p.f64 (expm1.f64 (/.f64 y.re (hypot.f64 y.re y.im)))) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)))))

Calls

5 calls:

347.0ms	y.im
232.0ms	x.im
53.0ms	x.re
39.0ms	(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
18.0ms	y.re

Results

Accuracy	Segments	Branch
95.2%	1	`x.re`
95.2%	1	`x.im`
95.2%	1	`y.re`
95.2%	1	`y.im`
95.2%	1	`(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))`

Compiler

Compiled 39 to 27 computations (30.8% saved)

regimes137.0ms (1%)

Counts

64 → 1

Calls

Call 1

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

Calls

5 calls:

61.0ms	x.im
18.0ms	x.re
18.0ms	y.im
17.0ms	(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
17.0ms	y.re

Results

Accuracy	Segments	Branch
95.2%	1	`x.im`
95.2%	1	`y.re`
95.2%	1	`y.im`
95.2%	1	`(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))`
95.2%	1	`x.re`

Compiler

Compiled 39 to 27 computations (30.8% saved)

regimes96.0ms (0.7%)

Counts

62 → 4

Calls

Call 1

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

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

Calls

5 calls:

19.0ms	x.re
18.0ms	y.re
18.0ms	y.im
18.0ms	(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
17.0ms	x.im

Results

Accuracy	Segments	Branch
80.2%	2	`x.im`
94.5%	4	`y.re`
90.7%	3	`y.im`
84.3%	2	`(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))`
81.1%	3	`x.re`

Compiler

Compiled 39 to 27 computations (30.8% saved)

regimes22.0ms (0.2%)

Counts

60 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

17.0ms

y.re

Results

Accuracy	Segments	Branch
92.6%	3	`y.re`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes48.0ms (0.4%)

Counts

54 → 5

Calls

Call 1

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

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

Calls

3 calls:

16.0ms	y.im
15.0ms	y.re
13.0ms	(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))

Results

Accuracy	Segments	Branch
81.0%	5	`(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))`
81.1%	4	`y.im`
87.5%	5	`y.re`

Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes74.0ms (0.5%)

Counts

28 → 3

Calls

Call 1

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

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

Calls

2 calls:

12.0ms	y.re
8.0ms	x.im

Results

Accuracy	Segments	Branch
59.5%	3	`x.im`
81.7%	3	`y.re`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes30.0ms (0.2%)

Counts

20 → 3

Calls

Call 1

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

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

Calls

3 calls:

16.0ms	y.im
6.0ms	x.re
6.0ms	y.re

Results

Accuracy	Segments	Branch
72.2%	3	`y.im`
53.8%	3	`x.re`
72.9%	3	`y.re`

Compiler

Compiled 15 to 12 computations (20% saved)

regimes7.0ms (0.1%)

Counts

19 → 3

Calls

Call 1

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

Outputs
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
(/.f64 (neg.f64 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
72.9%	3	`y.re`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes12.0ms (0.1%)

Counts

18 → 3

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	y.re
5.0ms	y.im

Results

Accuracy	Segments	Branch
63.0%	3	`y.im`
64.7%	3	`y.re`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes10.0ms (0.1%)

Counts

3 → 2

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	y.re
2.0ms	x.im
2.0ms	y.im
2.0ms	x.re

Results

Accuracy	Segments	Branch
38.3%	1	`x.re`
38.3%	1	`x.im`
42.4%	2	`y.im`
41.5%	3	`y.re`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes4.0ms (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

3 calls:

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

Results

Accuracy	Segments	Branch
38.3%	1	`x.im`
38.3%	1	`y.re`
38.3%	1	`y.im`

Compiler

Compiled 15 to 12 computations (20% saved)

bsearch41.0ms (0.3%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
10.0ms	8.832538691731922e-53	3.2106885859697993e-52
15.0ms	-4.728164221129646e-114	-4.04615212233148e-118
13.0ms	-1.9501404421318113e+21	-3.45506739466086e+20

Results

27.0ms

304×

valid

Compiler

Compiled 814 to 462 computations (43.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 10.0ms (67.9% of total)

ival-div: 2.0ms (13.6% of total)

ival-sub: 1.0ms (6.8% of total)

ival-add: 1.0ms (6.8% of total)

const: 0.0ms (0% of total)

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

bsearch28.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	8.832538691731922e-53	3.2106885859697993e-52
15.0ms	-4.728164221129646e-114	-4.04615212233148e-118

Results

19.0ms

208×

valid

Compiler

Compiled 494 to 290 computations (41.3% saved)

Precisions

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

ival-mult: 6.0ms (63.6% of total)

ival-sub: 1.0ms (10.6% of total)

ival-div: 1.0ms (10.6% of total)

ival-add: 1.0ms (10.6% of total)

const: 0.0ms (0% of total)

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

bsearch66.0ms (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	4.345067715211653e+84	1.2144740521793957e+94
9.0ms	8.832538691731922e-53	3.2106885859697993e-52
15.0ms	-4.728164221129646e-114	-4.04615212233148e-118
16.0ms	-2.4685643557966657e+88	-1.2141269198941085e+85

Results

41.0ms

480×

valid

Compiler

Compiled 1046 to 647 computations (38.1% saved)

Precisions

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

ival-mult: 14.0ms (64.7% of total)

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

ival-sub: 2.0ms (9.2% of total)

ival-add: 2.0ms (9.2% of total)

const: 0.0ms (0% of total)

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

bsearch30.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	3.2106885859697993e-52	3.7977294724376307e-47
7.0ms	-2492841.8255376997	-1510063.6239912016

Results

17.0ms

208×

valid

Compiler

Compiled 390 to 251 computations (35.6% saved)

Precisions

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

ival-mult: 6.0ms (63.6% of total)

ival-sub: 1.0ms (10.6% of total)

ival-div: 1.0ms (10.6% of total)

ival-add: 1.0ms (10.6% of total)

const: 0.0ms (0% of total)

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

bsearch46.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
25.0ms	8.832538691731922e-53	3.2106885859697993e-52
19.0ms	-6.181573468299794e-79	-2.1562095066876007e-94

Results

19.0ms

240×

valid

Compiler

Compiled 371 to 257 computations (30.7% saved)

Precisions

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

ival-mult: 7.0ms (64.1% of total)

ival-sub: 1.0ms (9.2% of total)

ival-div: 1.0ms (9.2% of total)

ival-add: 1.0ms (9.2% of total)

const: 0.0ms (0% of total)

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

bsearch34.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	8.832538691731922e-53	3.2106885859697993e-52
19.0ms	-6.181573468299794e-79	-2.1562095066876007e-94

Results

23.0ms

240×

valid

Compiler

Compiled 371 to 257 computations (30.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 11.0ms (75% of total)

ival-sub: 1.0ms (6.8% of total)

ival-div: 1.0ms (6.8% of total)

ival-add: 1.0ms (6.8% of total)

const: 0.0ms (0% of total)

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

bsearch40.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	4.345067715211653e+84	1.2144740521793957e+94
21.0ms	-1510063.6239912016	-2.525884180984047e-16

Results

26.0ms

320×

valid

Compiler

Compiled 366 to 277 computations (24.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 9.0ms (61% of total)

ival-sub: 2.0ms (13.5% of total)

ival-div: 2.0ms (13.5% of total)

ival-add: 1.0ms (6.8% of total)

const: 0.0ms (0% of total)

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

bsearch13.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	8.339906525438931e+111	1.6720295987449685e+112

Results

6.0ms

80×

valid

Compiler

Compiled 106 to 77 computations (27.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-mult: 2.0ms (56.7% of total)

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

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

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

const: 0.0ms (0% of total)

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

simplify28.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	114	1414
1	166	1414
2	218	1414
3	252	1414
4	271	1414
5	278	1414
6	279	1414

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (log1p.f64 (expm1.f64 (/.f64 y.re (hypot.f64 y.re y.im)))) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im 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 x.re (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)))))
(if (<=.f64 y.re #s(literal -400000000000000000000 binary64)) (.f64 (/.f64 (-.f64 x.im (.f64 y.im (/.f64 x.re y.re))) (hypot.f64 y.im y.re)) (/.f64 y.re (hypot.f64 y.im y.re))) (if (<=.f64 y.re #s(literal -5323525812711965/22181357552966518876627313473144669627491496603006532601363836644916970462445004984319795248833116624779129687691228574631793262592 binary64)) (fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))) (if (<=.f64 y.re #s(literal 2561194933379311/26959946667150639794667015087019630673637144422540572481103610249216 binary64)) (/.f64 (-.f64 (.f64 x.im (/.f64 y.re y.im)) x.re) y.im) (.f64 (/.f64 (-.f64 x.im (.f64 y.im (/.f64 x.re y.re))) (hypot.f64 y.im y.re)) (/.f64 y.re (hypot.f64 y.im y.re))))))
(if (<=.f64 y.re #s(literal -942707696001077/2772669694120814859578414184143083703436437075375816575170479580614621307805625623039974406104139578097391210961403571828974157824 binary64)) (.f64 (/.f64 (-.f64 x.im (.f64 y.im (/.f64 x.re y.re))) (hypot.f64 y.im y.re)) (/.f64 y.re (hypot.f64 y.im y.re))) (if (<=.f64 y.re #s(literal 4852790400087115/53919893334301279589334030174039261347274288845081144962207220498432 binary64)) (/.f64 (-.f64 (.f64 x.im (/.f64 y.re y.im)) x.re) y.im) (.f64 (/.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) (hypot.f64 y.im y.re)) (/.f64 y.re (hypot.f64 y.im y.re)))))
(if (<=.f64 y.re #s(literal -39000000000000003331295652712545563181734021437531728292309409567776680270804469940224 binary64)) (/.f64 (-.f64 x.im (.f64 y.im (/.f64 x.re y.re))) y.re) (if (<=.f64 y.re #s(literal -935776021765775/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728 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.re #s(literal 3235193600058077/26959946667150639794667015087019630673637144422540572481103610249216 binary64)) (/.f64 (-.f64 (.f64 x.im (/.f64 y.re y.im)) x.re) y.im) (if (<=.f64 y.re #s(literal 139999999999999990784647294332282123242284451064946169898795667621700632969921216987004928 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 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)))))
(if (<=.f64 y.re #s(literal -1550000 binary64)) (/.f64 (-.f64 x.im (.f64 y.im (/.f64 x.re y.re))) y.re) (if (<=.f64 y.re #s(literal 3805229288805289/102844034832575377634685573909834406561420991602098741459288064 binary64)) (/.f64 (-.f64 (.f64 x.im (/.f64 y.re y.im)) x.re) y.im) (/.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) y.re)))
(if (<=.f64 y.re #s(literal -7339195571168229/4586997231980143023221641790604173881593129978336562247475177678773845752176969616140037106220251373109248 binary64)) (/.f64 (-.f64 x.im (.f64 x.re (/.f64 y.im y.re))) y.re) (if (<=.f64 y.re #s(literal 4852790400087115/26959946667150639794667015087019630673637144422540572481103610249216 binary64)) (/.f64 (neg.f64 x.re) y.im) (/.f64 (-.f64 x.im (.f64 y.im (/.f64 x.re y.re))) y.re)))
(if (<=.f64 y.re #s(literal -6943208700751193/2239744742177804210557442280568444278121645497234649534899989100963791871180160945380877493271607115776 binary64)) (/.f64 (-.f64 x.im (.f64 x.re (/.f64 y.im y.re))) y.re) (if (<=.f64 y.re #s(literal 4178791733408349/26959946667150639794667015087019630673637144422540572481103610249216 binary64)) (/.f64 (neg.f64 x.re) y.im) (/.f64 (-.f64 x.im (.f64 x.re (/.f64 y.im y.re))) y.re)))
(if (<=.f64 y.re #s(literal -7891867750444299/77371252455336267181195264 binary64)) (/.f64 x.im y.re) (if (<=.f64 y.re #s(literal 4499999999999999720750811198508739267627400331539675144198299933744755881003955781632 binary64)) (/.f64 (neg.f64 x.re) y.im) (/.f64 x.im y.re)))
(if (<=.f64 y.im #s(literal 16499999999999999487775033204675280238217508828158752393627586528713760208283490287873157652567684878391052337152 binary64)) (/.f64 x.im y.re) (/.f64 x.re y.im))
(/.f64 x.im y.re)

Outputs
(fma.f64 (log1p.f64 (expm1.f64 (/.f64 y.re (hypot.f64 y.re y.im)))) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)))))
(fma.f64 (log1p.f64 (expm1.f64 (/.f64 y.re (hypot.f64 y.re y.im)))) (/.f64 x.im (hypot.f64 y.re y.im)) (*.f64 (neg.f64 x.re) (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re))))
(fma.f64 (log1p.f64 (expm1.f64 (/.f64 y.re (hypot.f64 y.re y.im)))) (/.f64 x.im (hypot.f64 y.re y.im)) (*.f64 x.re (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (neg.f64 (hypot.f64 y.im 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 x.re (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)))))
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (*.f64 (neg.f64 x.re) (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re))))
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (*.f64 x.re (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (neg.f64 (hypot.f64 y.im y.re)))))
(if (<=.f64 y.re #s(literal -400000000000000000000 binary64)) (.f64 (/.f64 (-.f64 x.im (.f64 y.im (/.f64 x.re y.re))) (hypot.f64 y.im y.re)) (/.f64 y.re (hypot.f64 y.im y.re))) (if (<=.f64 y.re #s(literal -5323525812711965/22181357552966518876627313473144669627491496603006532601363836644916970462445004984319795248833116624779129687691228574631793262592 binary64)) (fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))) (if (<=.f64 y.re #s(literal 2561194933379311/26959946667150639794667015087019630673637144422540572481103610249216 binary64)) (/.f64 (-.f64 (.f64 x.im (/.f64 y.re y.im)) x.re) y.im) (.f64 (/.f64 (-.f64 x.im (.f64 y.im (/.f64 x.re y.re))) (hypot.f64 y.im y.re)) (/.f64 y.re (hypot.f64 y.im y.re))))))
(if (<=.f64 y.re #s(literal -400000000000000000000 binary64)) (.f64 (/.f64 (-.f64 x.im (.f64 y.im (/.f64 x.re y.re))) (hypot.f64 y.im y.re)) (/.f64 y.re (hypot.f64 y.im y.re))) (if (<=.f64 y.re #s(literal -5323525812711965/22181357552966518876627313473144669627491496603006532601363836644916970462445004984319795248833116624779129687691228574631793262592 binary64)) (fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (.f64 (neg.f64 x.re) (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))) (if (<=.f64 y.re #s(literal 2561194933379311/26959946667150639794667015087019630673637144422540572481103610249216 binary64)) (/.f64 (-.f64 (.f64 x.im (/.f64 y.re y.im)) x.re) y.im) (.f64 (/.f64 (-.f64 x.im (.f64 y.im (/.f64 x.re y.re))) (hypot.f64 y.im y.re)) (/.f64 y.re (hypot.f64 y.im y.re))))))
(if (<=.f64 y.re #s(literal -400000000000000000000 binary64)) (.f64 (/.f64 (-.f64 x.im (.f64 y.im (/.f64 x.re y.re))) (hypot.f64 y.im y.re)) (/.f64 y.re (hypot.f64 y.im y.re))) (if (<=.f64 y.re #s(literal -5323525812711965/22181357552966518876627313473144669627491496603006532601363836644916970462445004984319795248833116624779129687691228574631793262592 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 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (neg.f64 x.re))) (if (<=.f64 y.re #s(literal 2561194933379311/26959946667150639794667015087019630673637144422540572481103610249216 binary64)) (/.f64 (-.f64 (.f64 x.im (/.f64 y.re y.im)) x.re) y.im) (.f64 (/.f64 (-.f64 x.im (.f64 y.im (/.f64 x.re y.re))) (hypot.f64 y.im y.re)) (/.f64 y.re (hypot.f64 y.im y.re))))))
(if (<=.f64 y.re #s(literal -942707696001077/2772669694120814859578414184143083703436437075375816575170479580614621307805625623039974406104139578097391210961403571828974157824 binary64)) (.f64 (/.f64 (-.f64 x.im (.f64 y.im (/.f64 x.re y.re))) (hypot.f64 y.im y.re)) (/.f64 y.re (hypot.f64 y.im y.re))) (if (<=.f64 y.re #s(literal 4852790400087115/53919893334301279589334030174039261347274288845081144962207220498432 binary64)) (/.f64 (-.f64 (.f64 x.im (/.f64 y.re y.im)) x.re) y.im) (.f64 (/.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) (hypot.f64 y.im y.re)) (/.f64 y.re (hypot.f64 y.im y.re)))))
(if (or (<=.f64 y.re #s(literal -942707696001077/2772669694120814859578414184143083703436437075375816575170479580614621307805625623039974406104139578097391210961403571828974157824 binary64)) (not (<=.f64 y.re #s(literal 4852790400087115/53919893334301279589334030174039261347274288845081144962207220498432 binary64)))) (.f64 (/.f64 (-.f64 x.im (.f64 y.im (/.f64 x.re y.re))) (hypot.f64 y.im y.re)) (/.f64 y.re (hypot.f64 y.im y.re))) (/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im))
(if (<=.f64 y.re #s(literal -39000000000000003331295652712545563181734021437531728292309409567776680270804469940224 binary64)) (/.f64 (-.f64 x.im (.f64 y.im (/.f64 x.re y.re))) y.re) (if (<=.f64 y.re #s(literal -935776021765775/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728 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.re #s(literal 3235193600058077/26959946667150639794667015087019630673637144422540572481103610249216 binary64)) (/.f64 (-.f64 (.f64 x.im (/.f64 y.re y.im)) x.re) y.im) (if (<=.f64 y.re #s(literal 139999999999999990784647294332282123242284451064946169898795667621700632969921216987004928 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 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)))))
(if (<=.f64 y.re #s(literal -39000000000000003331295652712545563181734021437531728292309409567776680270804469940224 binary64)) (/.f64 (-.f64 x.im (.f64 y.im (/.f64 x.re y.re))) y.re) (if (<=.f64 y.re #s(literal -935776021765775/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728 binary64)) (/.f64 (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im))) (if (<=.f64 y.re #s(literal 3235193600058077/26959946667150639794667015087019630673637144422540572481103610249216 binary64)) (/.f64 (-.f64 (.f64 x.im (/.f64 y.re y.im)) x.re) y.im) (if (<=.f64 y.re #s(literal 139999999999999990784647294332282123242284451064946169898795667621700632969921216987004928 binary64)) (/.f64 (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im))) (/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)))))
(if (<=.f64 y.re #s(literal -1550000 binary64)) (/.f64 (-.f64 x.im (.f64 y.im (/.f64 x.re y.re))) y.re) (if (<=.f64 y.re #s(literal 3805229288805289/102844034832575377634685573909834406561420991602098741459288064 binary64)) (/.f64 (-.f64 (.f64 x.im (/.f64 y.re y.im)) x.re) y.im) (/.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) y.re)))
(if (or (<=.f64 y.re #s(literal -1550000 binary64)) (not (<=.f64 y.re #s(literal 3805229288805289/102844034832575377634685573909834406561420991602098741459288064 binary64)))) (/.f64 (-.f64 x.im (.f64 y.im (/.f64 x.re y.re))) y.re) (/.f64 (-.f64 (.f64 x.im (/.f64 y.re y.im)) x.re) y.im))
(if (<=.f64 y.re #s(literal -7339195571168229/4586997231980143023221641790604173881593129978336562247475177678773845752176969616140037106220251373109248 binary64)) (/.f64 (-.f64 x.im (.f64 x.re (/.f64 y.im y.re))) y.re) (if (<=.f64 y.re #s(literal 4852790400087115/26959946667150639794667015087019630673637144422540572481103610249216 binary64)) (/.f64 (neg.f64 x.re) y.im) (/.f64 (-.f64 x.im (.f64 y.im (/.f64 x.re y.re))) y.re)))
(if (<=.f64 y.re #s(literal -7339195571168229/4586997231980143023221641790604173881593129978336562247475177678773845752176969616140037106220251373109248 binary64)) (/.f64 (-.f64 x.im (.f64 x.re (/.f64 y.im y.re))) y.re) (if (<=.f64 y.re #s(literal 4852790400087115/26959946667150639794667015087019630673637144422540572481103610249216 binary64)) (/.f64 x.re (neg.f64 y.im)) (/.f64 (-.f64 x.im (.f64 y.im (/.f64 x.re y.re))) y.re)))
(if (<=.f64 y.re #s(literal -6943208700751193/2239744742177804210557442280568444278121645497234649534899989100963791871180160945380877493271607115776 binary64)) (/.f64 (-.f64 x.im (.f64 x.re (/.f64 y.im y.re))) y.re) (if (<=.f64 y.re #s(literal 4178791733408349/26959946667150639794667015087019630673637144422540572481103610249216 binary64)) (/.f64 (neg.f64 x.re) y.im) (/.f64 (-.f64 x.im (.f64 x.re (/.f64 y.im y.re))) y.re)))
(if (or (<=.f64 y.re #s(literal -6943208700751193/2239744742177804210557442280568444278121645497234649534899989100963791871180160945380877493271607115776 binary64)) (not (<=.f64 y.re #s(literal 4178791733408349/26959946667150639794667015087019630673637144422540572481103610249216 binary64)))) (/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re) (/.f64 (neg.f64 x.re) y.im))
(if (or (<=.f64 y.re #s(literal -6943208700751193/2239744742177804210557442280568444278121645497234649534899989100963791871180160945380877493271607115776 binary64)) (not (<=.f64 y.re #s(literal 4178791733408349/26959946667150639794667015087019630673637144422540572481103610249216 binary64)))) (/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re) (/.f64 x.re (neg.f64 y.im)))
(if (<=.f64 y.re #s(literal -7891867750444299/77371252455336267181195264 binary64)) (/.f64 x.im y.re) (if (<=.f64 y.re #s(literal 4499999999999999720750811198508739267627400331539675144198299933744755881003955781632 binary64)) (/.f64 (neg.f64 x.re) y.im) (/.f64 x.im y.re)))
(if (or (<=.f64 y.re #s(literal -7891867750444299/77371252455336267181195264 binary64)) (not (<=.f64 y.re #s(literal 4499999999999999720750811198508739267627400331539675144198299933744755881003955781632 binary64)))) (/.f64 x.im y.re) (/.f64 (neg.f64 x.re) y.im))
(if (or (<=.f64 y.re #s(literal -7891867750444299/77371252455336267181195264 binary64)) (not (<=.f64 y.re #s(literal 4499999999999999720750811198508739267627400331539675144198299933744755881003955781632 binary64)))) (/.f64 x.im y.re) (/.f64 x.re (neg.f64 y.im)))
(if (<=.f64 y.im #s(literal 16499999999999999487775033204675280238217508828158752393627586528713760208283490287873157652567684878391052337152 binary64)) (/.f64 x.im y.re) (/.f64 x.re y.im))
(/.f64 x.im y.re)

soundness1.9s (13.9%)

Rules

1255×	`fma-define`
920×	`log1p-expm1-u`
920×	`expm1-log1p-u`
795×	`fma-neg`
518×	`div-sub`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	544
1	687	495
0	739	33774
1	1768	31639
2	7037	31615
0	25	297
1	385	257
2	4624	257
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	1848	55946
1	4912	54167
0	38	597
1	628	535

Stop Event

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

Compiler

Compiled 2008 to 550 computations (72.6% saved)

preprocess68.0ms (0.5%)

Compiler: Compiled 726 to 234 computations (67.8% saved)

analyze34.0ms (0.3%)

sample1.6s (11.5%)

preprocess265.0ms (2%)

explain203.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify100.0ms (0.7%)

localize71.0ms (0.5%)

series41.0ms (0.3%)

rewrite390.0ms (2.9%)

simplify469.0ms (3.5%)

eval59.0ms (0.4%)

prune239.0ms (1.8%)

simplify402.0ms (3%)

localize232.0ms (1.7%)

series105.0ms (0.8%)

rewrite184.0ms (1.4%)

simplify703.0ms (5.2%)

eval443.0ms (3.3%)

prune548.0ms (4.1%)

simplify90.0ms (0.7%)

localize257.0ms (1.9%)

series68.0ms (0.5%)

rewrite168.0ms (1.2%)

simplify539.0ms (4%)

eval247.0ms (1.8%)

prune296.0ms (2.2%)

simplify186.0ms (1.4%)

localize166.0ms (1.2%)

series219.0ms (1.6%)

rewrite198.0ms (1.5%)

simplify750.0ms (5.6%)

eval430.0ms (3.2%)

prune435.0ms (3.2%)

regimes708.0ms (5.2%)

regimes137.0ms (1%)

regimes96.0ms (0.7%)

regimes22.0ms (0.2%)

regimes48.0ms (0.4%)

regimes74.0ms (0.5%)

regimes30.0ms (0.2%)

regimes7.0ms (0.1%)

regimes12.0ms (0.1%)

regimes10.0ms (0.1%)

regimes4.0ms (0%)

bsearch41.0ms (0.3%)

bsearch28.0ms (0.2%)

bsearch66.0ms (0.5%)

bsearch30.0ms (0.2%)

bsearch46.0ms (0.3%)

bsearch34.0ms (0.3%)

bsearch40.0ms (0.3%)

bsearch13.0ms (0.1%)

simplify28.0ms (0.2%)

soundness1.9s (13.9%)

preprocess68.0ms (0.5%)

end0.0ms (0%)

Profiling