Metrics for _divideComplex, imaginary part

analyze67.0ms (0.5%)

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: 50.0ms

ival-mult: 44.0ms (88.9% of total)

ival-sub: 2.0ms (4% of total)

ival-add: 2.0ms (4% of total)

ival-div: 1.0ms (2% of total)

const: 0.0ms (0% of total)

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

sample1.5s (10.6%)

Results

1.2s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 475.0ms

ival-mult: 313.0ms (66% of total)

ival-div: 62.0ms (13.1% of total)

ival-sub: 47.0ms (9.9% of total)

ival-add: 42.0ms (8.9% of total)

const: 8.0ms (1.7% of total)

backward-pass: 3.0ms (0.6% of total)

Bogosity

preprocess348.0ms (2.4%)

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)))

explain134.0ms (0.9%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
93	-	-	`(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))`
1	-	-	`(-.f64 (.f64 x.im y.re) (.f64 x.re y.im))`
0	-	-	`x.im`
0	-	-	`y.im`
0	-	-	`y.re`
0	-	-	`x.re`
0	-	-	`(*.f64 y.im y.im)`
0	-	-	`(*.f64 x.im y.re)`
0	-	-	`(*.f64 x.re y.im)`
0	-	-	`(*.f64 y.re y.re)`
0	-	-	`(+.f64 (.f64 y.re y.re) (.f64 y.im y.im))`

Results

89.0ms

512×

valid

Compiler

Compiled 119 to 35 computations (70.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-sub: 35.0ms (58.5% of total)

ival-mult: 16.0ms (26.7% of total)

ival-div: 6.0ms (10% of total)

ival-add: 2.0ms (3.3% of total)

const: 1.0ms (1.7% 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
▶	65.3%	(/.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 19 to 11 computations (42.1% saved)

simplify98.0ms (0.7%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

679×	`fma-define`
515×	`fma-neg`
318×	`times-frac`
122×	`div-sub`
109×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	189
1	33	189
2	59	189
3	96	189
4	168	189
5	295	189
6	536	189
7	887	189
8	1618	189
9	2678	189
10	3174	189
11	3226	189
12	3286	189
13	3286	189

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)

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

localize41.0ms (0.3%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x.re y.im)
✓	accuracy	100.0%	(*.f64 x.im y.re)
✓	accuracy	99.6%	(-.f64 (.f64 x.im y.re) (.f64 x.re y.im))
✓	accuracy	65.7%	(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))

Results

30.0ms

256×

valid

Compiler

Compiled 50 to 12 computations (76% saved)

Precisions

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

ival-mult: 8.0ms (64% of total)

ival-div: 2.0ms (16% of total)

ival-sub: 1.0ms (8% of total)

ival-add: 1.0ms (8% of total)

const: 0.0ms (0% of total)

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

series30.0ms (0.2%)

Counts

6 → 114

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 (-.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))>

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

Calls

42 calls:

Time	Variable		Point	Expression
5.0ms	y.im	@	0	(/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im)))
2.0ms	y.im	@	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 y.im)) (+ (* y.re y.re) (* y.im y.im)))
1.0ms	y.re	@	0	(* y.re y.re)
1.0ms	x.re	@	0	(/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im)))

rewrite297.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

942×	`log1p-expm1-u`
942×	`expm1-log1p-u`
621×	`fma-define`
307×	`fma-neg`
120×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	137
1	268	132
2	3887	132

Stop Event

1×	node limit

Counts

6 → 276

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 (-.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))

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

simplify262.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

703×	`fma-neg`
266×	`fma-define`
255×	`associate-r`
245×	`associate-l`
238×	`div-sub`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	681	19292
1	1690	16540
2	5681	16184

Stop Event

1×	node limit

Counts

390 → 414

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

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

eval82.0ms (0.6%)

Compiler: Compiled 9870 to 1349 computations (86.3% saved)

prune145.0ms (1%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	398	16	414
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	398	17	415

Accuracy

99.7%

Counts

415 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	79.7%	(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))))))
	47.4%	(fma.f64 #s(literal -1 binary64) (/.f64 x.re y.im) (*.f64 x.im (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))
	41.6%	(/.f64 (-.f64 (+.f64 (.f64 (neg.f64 x.im) (pow.f64 (/.f64 y.re y.im) #s(literal 3 binary64))) (fma.f64 x.re (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))) (.f64 y.re (/.f64 x.im y.im)))) x.re) y.im)
	53.4%	(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
✓	65.3%	(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
	53.3%	(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (cbrt.f64 (pow.f64 y.re #s(literal 6 binary64))) (*.f64 y.im y.im)))
	57.5%	(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
	50.7%	(/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (.f64 x.im y.re) y.im)) y.im)
▶	54.8%	(/.f64 (+.f64 x.im (/.f64 (*.f64 (neg.f64 x.re) y.im) y.re)) y.re)
	41.0%	(/.f64 (.f64 y.re x.im) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
	59.3%	(/.f64 (.f64 y.im (-.f64 (.f64 y.re (/.f64 x.im y.im)) x.re)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
	39.9%	(/.f64 (neg.f64 x.re) y.im)
▶	40.4%	(/.f64 x.im y.re)
	37.9%	(+.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))))))
	65.3%	(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (-.f64 (.f64 x.im y.re) (*.f64 x.re y.im)))
▶	75.9%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (-.f64 (.f64 x.im y.re) (*.f64 x.re y.im)) (hypot.f64 y.re y.im)))
▶	44.0%	(*.f64 x.im (/.f64 y.re (+.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))

Compiler

Compiled 575 to 361 computations (37.2% saved)

simplify432.0ms (3%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (hypot.f64 y.re y.im))
✓	cost-diff	0	(hypot.f64 y.re y.im)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
✓	cost-diff	256	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (-.f64 (.f64 x.im y.re) (*.f64 x.re y.im)) (hypot.f64 y.re y.im)))
✓	cost-diff	0	(pow.f64 y.re #s(literal 2 binary64))
✓	cost-diff	128	(+.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))
✓	cost-diff	128	(/.f64 y.re (+.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))
✓	cost-diff	128	(*.f64 x.im (/.f64 y.re (+.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))
✓	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

1096×	`fma-define`
1070×	`fma-neg`
394×	`times-frac`
326×	`unsub-neg`
243×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	40	832
1	85	812
2	168	740
3	447	740
4	1179	740
5	2433	740
6	3658	740
7	4838	740
8	5847	740
9	6260	740
10	6265	740
11	6271	740
12	6468	740
13	6726	740
14	6838	740
15	6838	740
16	6838	740
17	6890	740
18	6958	740
19	6962	740
20	6962	740

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

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

localize274.0ms (1.9%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
✓	accuracy	99.6%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (-.f64 (.f64 x.im y.re) (*.f64 x.re y.im)) (hypot.f64 y.re y.im)))
	accuracy	99.6%	(-.f64 (.f64 x.im y.re) (.f64 x.re y.im))
✓	accuracy	76.8%	(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (hypot.f64 y.re y.im))
✓	accuracy	100.0%	(pow.f64 y.im #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))
✓	accuracy	95.5%	(*.f64 x.im (/.f64 y.re (+.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))
✓	accuracy	70.8%	(/.f64 y.re (+.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))
✓	accuracy	100.0%	(neg.f64 x.re)
✓	accuracy	100.0%	(+.f64 x.im (/.f64 (*.f64 (neg.f64 x.re) y.im) y.re))
✓	accuracy	99.9%	(/.f64 (+.f64 x.im (/.f64 (*.f64 (neg.f64 x.re) y.im) y.re)) y.re)
✓	accuracy	90.7%	(/.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	98.1%	(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	95.8%	(*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
✓	accuracy	72.6%	(/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))

Results

237.0ms

256×

valid

Compiler

Compiled 205 to 32 computations (84.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 185.0ms

ival-pow: 140.0ms (75.6% of total)

ival-div: 15.0ms (8.1% of total)

ival-mult: 11.0ms (5.9% of total)

ival-hypot: 8.0ms (4.3% of total)

ival-fma: 5.0ms (2.7% of total)

ival-neg: 3.0ms (1.6% of total)

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

ival-sub: 1.0ms (0.5% of total)

const: 1.0ms (0.5% of total)

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

series186.0ms (1.3%)

Counts

20 → 564

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

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

153 calls:

Time	Variable		Point	Expression
65.0ms	y.im	@	inf	(* x.re (/ y.im (pow (sqrt (+ (* y.re y.re) (* y.im y.im))) 2)))
16.0ms	x.im	@	0	(* x.im (/ y.re (+ (pow y.re 2) (pow y.im 2))))
7.0ms	x.im	@	0	(/ (- (* x.im y.re) (* x.re y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
3.0ms	y.re	@	-inf	(/ x.im (sqrt (+ (* y.re y.re) (* y.im y.im))))
3.0ms	y.re	@	0	(sqrt (+ (* y.re y.re) (* y.im y.im)))

rewrite197.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

302×	`log1p-expm1-u`
302×	`expm1-log1p-u`
294×	`add-cube-cbrt`
293×	`add-exp-log`
293×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	583
1	704	535

Stop Event

1×	node limit

Counts

20 → 486

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

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

simplify973.0ms (6.7%)

Algorithm

1×	egg-herbie

Rules

515×	`*-commutative`
282×	`+-commutative`
271×	`associate-*r/`
251×	`sub-neg`
243×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1933	50554
1	5283	48586

Stop Event

1×	node limit

Counts

1050 → 1281

Calls

Call 1

Inputs
(*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))
(-.f64 (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 2 binary64))) (/.f64 x.re y.im))
(-.f64 (.f64 y.re (+.f64 (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (/.f64 (.f64 x.re y.re) (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.re y.im))
(-.f64 (.f64 y.re (+.f64 (.f64 y.re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.re) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 x.re (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 x.re y.im))
(/.f64 x.im y.re)
(/.f64 (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) y.re))) y.re)
(/.f64 (-.f64 (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.re y.im) y.re)) y.re)
(/.f64 (-.f64 (+.f64 x.im (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 3 binary64)))) (+.f64 (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64))) (/.f64 (*.f64 x.re y.im) y.re))) y.re)
(/.f64 x.im y.re)
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.im) (/.f64 (*.f64 x.re y.im) y.re)) y.re))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.im) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) y.re)) (.f64 x.re y.im)) y.re))) y.re))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.im) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) y.re)) (.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))) y.re)) (.f64 x.re y.im)) y.re))) y.re))
(/.f64 x.im y.re)
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im y.re))
(+.f64 (.f64 y.im (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 x.im y.re))
(+.f64 (.f64 y.im (-.f64 (.f64 y.im (-.f64 (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 4 binary64))) (/.f64 x.im (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 x.im y.re))
(*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))
(/.f64 (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re) y.im)
(/.f64 (-.f64 (+.f64 (/.f64 (.f64 x.im y.re) y.im) (/.f64 (.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) x.re) y.im)
(/.f64 (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 3 binary64)))) (+.f64 (/.f64 (.f64 x.im y.re) y.im) (/.f64 (.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))))) x.re) y.im)
(*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.re) y.im)) (.f64 #s(literal -1 binary64) x.re)) y.im))
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 x.im y.re) (/.f64 (.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) y.im)) y.im)) (*.f64 #s(literal -1 binary64) x.re)) y.im))
(.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) y.im) (.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) y.im)) (.f64 x.im y.re)) y.im)) (*.f64 #s(literal -1 binary64) x.re)) y.im))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(-.f64 (/.f64 (.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(-.f64 (/.f64 (.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(-.f64 (/.f64 (.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (.f64 x.re y.im) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(.f64 x.re (-.f64 (/.f64 (.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(.f64 x.re (-.f64 (/.f64 (.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(.f64 x.re (-.f64 (/.f64 (.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 x.re (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.re) (.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(.f64 #s(literal -1 binary64) (.f64 x.re (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.re) (.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(.f64 #s(literal -1 binary64) (.f64 x.re (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.re) (.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))
(/.f64 y.re y.im)
(.f64 y.re (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) y.im)))
(.f64 y.re (+.f64 (.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/8 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 5 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) y.im)))
(.f64 y.re (+.f64 (.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -5/16 binary64) (/.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 7 binary64)))) (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 5 binary64)))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) y.im)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64)))) (pow.f64 y.re #s(literal 4 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64)))) (pow.f64 y.re #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64)))))) (pow.f64 y.im #s(literal 6 binary64))) (pow.f64 y.re #s(literal 6 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))
#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64)))) (pow.f64 y.re #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) #s(literal 1 binary64))
(-.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64)))) (pow.f64 y.re #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 y.im #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 y.im #s(literal 4 binary64)))))) (pow.f64 y.im #s(literal 6 binary64))) (pow.f64 y.re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) #s(literal 1 binary64))
#s(literal 1 binary64)
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(exp.f64 (.f64 (log.f64 (.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y.im x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 y.im x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 y.im x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(/.f64 (*.f64 y.im x.re) (neg.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (.f64 y.im x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (/.f64 (pow.f64 (.f64 y.im x.re) #s(literal 2 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 4 binary64))) (.f64 #s(literal 0 binary64) (/.f64 (.f64 y.im x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))))
(pow.f64 (/.f64 (*.f64 y.im x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 y.im x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 y.im x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 y.im x.re)) (hypot.f64 y.re y.im)) #s(literal 2 binary64))
(neg.f64 (/.f64 (*.f64 y.im x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 y.im x.re) #s(literal 2 binary64)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 4 binary64))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))) x.re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 y.im x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 y.im x.re) (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))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 y.im x.re) #s(literal 3 binary64)) (pow.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 y.im x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 y.im x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (/.f64 (*.f64 y.im x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 y.im x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x.re (/.f64 y.im y.re) x.im))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 x.im (.f64 x.re (/.f64 y.im y.re)))) (/.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 #s(literal 1 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)))
(*.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))) (fma.f64 x.im x.im (-.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 2 binary64)) (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 (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 (fma.f64 x.im x.im (-.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 (neg.f64 (-.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 (.f64 x.re (/.f64 y.im y.re)) #s(literal 2 binary64)))) (neg.f64 (-.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 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))))
(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))))
(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 (cbrt.f64 (pow.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)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 y.im #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 y.im y.im)
(*.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 (cbrt.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 (.f64 #s(literal 2 binary64) (log.f64 y.im)) #s(literal 1 binary64)))

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

eval743.0ms (5.1%)

Compiler: Compiled 45679 to 6246 computations (86.3% saved)

prune520.0ms (3.6%)

Pruning

21 alts after pruning (18 fresh and 3 done)

	Pruned	Kept	Total
New	1755	13	1768
Fresh	6	5	11
Picked	3	2	5
Done	0	1	1
Total	1764	21	1785

Accuracy

100.0%

Counts

1785 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.5%	(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)))))
	53.0%	(/.f64 (fma.f64 x.im (/.f64 y.re y.im) (neg.f64 x.re)) y.im)
	50.7%	(/.f64 (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re) y.im)
	53.4%	(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
▶	53.0%	(/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)
✓	65.3%	(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
	57.5%	(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
✓	54.8%	(/.f64 (+.f64 x.im (/.f64 (*.f64 (neg.f64 x.re) y.im) y.re)) y.re)
▶	41.0%	(/.f64 (.f64 y.re x.im) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
	50.3%	(/.f64 (*.f64 y.im (-.f64 (/.f64 x.im y.im) (/.f64 x.re y.re))) y.re)
	59.3%	(/.f64 (.f64 y.im (-.f64 (.f64 y.re (/.f64 x.im y.im)) x.re)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
▶	39.9%	(/.f64 (neg.f64 x.re) y.im)
	42.6%	(/.f64 y.re (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) x.im))
	53.5%	(/.f64 x.im (*.f64 (/.f64 (hypot.f64 y.re y.im) y.re) (hypot.f64 y.re y.im)))
✓	40.4%	(/.f64 x.im y.re)
	40.1%	(/.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
	29.9%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (-.f64 x.re (.f64 x.im (/.f64 y.re y.im))))
	25.7%	(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) x.re)
	43.1%	(.f64 x.re (-.f64 (/.f64 x.im (.f64 x.re y.re)) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
▶	44.0%	(.f64 x.im (/.f64 y.re (+.f64 (pow.f64 y.re #s(literal 2 binary64)) (.f64 y.im y.im))))
	40.3%	(*.f64 x.im (/.f64 #s(literal 1 binary64) y.re))

Compiler

Compiled 554 to 345 computations (37.7% saved)

simplify400.0ms (2.7%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

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

1250×	`fma-define`
1112×	`fma-neg`
307×	`distribute-lft-neg-in`
263×	`associate-/r*`
247×	`unsub-neg`

Iterations

Useful iterations: 12 (0.0ms)

Iter	Nodes	Cost
0	38	772
1	75	729
2	140	722
3	255	722
4	476	722
5	874	722
6	1354	722
7	2384	703
8	4255	699
9	5024	699
10	5595	699
11	5741	699
12	5769	693
13	5797	693
14	5845	693
15	5847	693
16	5943	693
17	6535	693
18	6535	693
19	6543	693
20	6551	693

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

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

localize411.0ms (2.8%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (pow.f64 y.re #s(literal 2 binary64)) (*.f64 y.im y.im))
	accuracy	100.0%	(*.f64 y.im y.im)
✓	accuracy	95.5%	(.f64 x.im (/.f64 y.re (+.f64 (pow.f64 y.re #s(literal 2 binary64)) (.f64 y.im y.im))))
✓	accuracy	70.8%	(/.f64 y.re (+.f64 (pow.f64 y.re #s(literal 2 binary64)) (*.f64 y.im y.im)))
	accuracy	100.0%	(*.f64 y.re y.re)
✓	accuracy	100.0%	(*.f64 y.re x.im)
	accuracy	100.0%	(*.f64 y.im y.im)
✓	accuracy	73.8%	(/.f64 (.f64 y.re x.im) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
✓	accuracy	100.0%	(/.f64 y.re y.im)
✓	accuracy	100.0%	(-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re)
✓	accuracy	99.1%	(/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)
✓	accuracy	92.8%	(*.f64 x.im (/.f64 y.re y.im))
✓	accuracy	100.0%	(/.f64 (neg.f64 x.re) y.im)
	accuracy	100.0%	(neg.f64 x.re)
✓	accuracy	100.0%	(/.f64 y.im (hypot.f64 y.im y.re))
✓	accuracy	99.9%	(/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re))
✓	accuracy	98.1%	(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	95.8%	(*.f64 x.re (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)))

Results

376.0ms

256×

valid

Compiler

Compiled 188 to 30 computations (84% saved)

Precisions

Click to see histograms. Total time spent on operations: 149.0ms

ival-div: 112.0ms (75% of total)

ival-mult: 11.0ms (7.4% of total)

ival-hypot: 11.0ms (7.4% of total)

ival-add: 5.0ms (3.3% of total)

ival-fma: 3.0ms (2% of total)

ival-pow: 3.0ms (2% of total)

ival-neg: 2.0ms (1.3% of total)

ival-sub: 1.0ms (0.7% of total)

const: 0.0ms (0% of total)

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

series101.0ms (0.7%)

Counts

15 → 468

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

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

Calls

123 calls:

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

rewrite300.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

260×	`log1p-expm1-u`
260×	`expm1-log1p-u`
253×	`add-exp-log`
253×	`add-log-exp`
252×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	520
1	639	448

Stop Event

1×	node limit

Counts

15 → 525

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

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

simplify640.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

894×	`times-frac`
686×	`fma-define`
470×	`*-commutative`
265×	`sub-neg`
242×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1649	46690
1	4498	44196

Stop Event

1×	node limit

Counts

993 → 1043

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

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

eval260.0ms (1.8%)

Compiler: Compiled 24605 to 4313 computations (82.5% saved)

prune187.0ms (1.3%)

Pruning

24 alts after pruning (19 fresh and 5 done)

	Pruned	Kept	Total
New	1110	11	1121
Fresh	5	8	13
Picked	2	3	5
Done	1	2	3
Total	1118	24	1142

Accuracy

100.0%

Counts

1142 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.0%	(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (/.f64 (/.f64 x.re (/.f64 (hypot.f64 y.re y.im) y.im)) (neg.f64 (hypot.f64 y.re y.im))))
	53.3%	(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 (/.f64 (/.f64 y.im y.re) (hypot.f64 y.im y.re)))))
	20.1%	(fma.f64 x.im (/.f64 (/.f64 y.re y.im) y.im) (/.f64 x.re y.im))
	50.7%	(/.f64 (-.f64 (fma.f64 x.re (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64)) (*.f64 x.im (/.f64 y.re y.im))) x.re) y.im)
	52.9%	(/.f64 (-.f64 (/.f64 x.im (/.f64 y.im y.re)) x.re) y.im)
	53.4%	(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
✓	53.0%	(/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)
	57.5%	(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
✓	54.8%	(/.f64 (+.f64 x.im (/.f64 (*.f64 (neg.f64 x.re) y.im) y.re)) y.re)
✓	41.0%	(/.f64 (.f64 y.re x.im) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
	50.3%	(/.f64 (*.f64 y.im (-.f64 (/.f64 x.im y.im) (/.f64 x.re y.re))) y.re)
	59.3%	(/.f64 (.f64 y.im (-.f64 (.f64 y.re (/.f64 x.im y.im)) x.re)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
	9.5%	(/.f64 (*.f64 #s(literal 1 binary64) x.re) y.im)
✓	39.9%	(/.f64 (neg.f64 x.re) y.im)
	42.6%	(/.f64 y.re (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) x.im))
✓	40.4%	(/.f64 x.im y.re)
	40.1%	(/.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
	9.5%	(/.f64 #s(literal 1 binary64) (/.f64 y.im x.re))
	52.9%	(-.f64 (/.f64 (*.f64 x.im (/.f64 y.re y.im)) y.im) (/.f64 x.re y.im))
	51.6%	(-.f64 (/.f64 x.im y.re) (*.f64 x.re (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
▶	25.7%	(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) x.re)
▶	39.8%	(*.f64 x.re (/.f64 #s(literal 1 binary64) (neg.f64 y.im)))
▶	44.0%	(.f64 x.im (/.f64 y.re (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im))))
▶	40.3%	(*.f64 x.im (/.f64 #s(literal 1 binary64) y.re))

Compiler

Compiled 609 to 377 computations (38.1% saved)

simplify208.0ms (1.4%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(hypot.f64 y.re y.im)
	cost-diff	0	(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
✓	cost-diff	128	(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) x.re)
✓	cost-diff	-6272	(/.f64 y.re (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
✓	cost-diff	-6272	(.f64 x.im (/.f64 y.re (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im))))
	cost-diff	0	(*.f64 y.im y.im)
	cost-diff	0	(*.f64 y.re y.re)
✓	cost-diff	0	(neg.f64 y.im)
✓	cost-diff	64	(/.f64 #s(literal 1 binary64) (neg.f64 y.im))
✓	cost-diff	128	(*.f64 x.re (/.f64 #s(literal 1 binary64) (neg.f64 y.im)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y.re)
✓	cost-diff	128	(*.f64 x.im (/.f64 #s(literal 1 binary64) y.re))
	cost-diff	0	(hypot.f64 y.re y.im)
	cost-diff	0	(/.f64 y.re (hypot.f64 y.re y.im))
✓	cost-diff	6528	(/.f64 (/.f64 x.re (/.f64 (hypot.f64 y.re y.im) y.im)) (neg.f64 (hypot.f64 y.re y.im)))
✓	cost-diff	19584	(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (/.f64 (/.f64 x.re (/.f64 (hypot.f64 y.re y.im) y.im)) (neg.f64 (hypot.f64 y.re y.im))))

Rules

1095×	`fma-neg`
621×	`fma-define`
600×	`div-sub`
367×	`times-frac`
314×	`distribute-lft-in`

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	34	610
1	69	588
2	127	588
3	337	576
4	857	572
5	1587	550
6	2362	544
7	3564	539
8	4735	535
9	5666	535
10	6417	535
11	6931	535
12	7189	535
13	7383	535

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

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

localize219.0ms (1.5%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(hypot.f64 y.re y.im)
	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) x.re)
	accuracy	100.0%	(*.f64 y.re y.re)
	accuracy	100.0%	(*.f64 y.im y.im)
✓	accuracy	95.5%	(.f64 x.im (/.f64 y.re (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im))))
✓	accuracy	70.8%	(/.f64 y.re (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (neg.f64 y.im))
✓	accuracy	100.0%	(neg.f64 y.im)
✓	accuracy	99.7%	(*.f64 x.re (/.f64 #s(literal 1 binary64) (neg.f64 y.im)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y.re)
✓	accuracy	99.7%	(*.f64 x.im (/.f64 #s(literal 1 binary64) y.re))
	accuracy	100.0%	(/.f64 y.re (hypot.f64 y.re y.im))
✓	accuracy	99.1%	(/.f64 (/.f64 x.re (/.f64 (hypot.f64 y.re y.im) y.im)) (neg.f64 (hypot.f64 y.re y.im)))
✓	accuracy	98.1%	(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (/.f64 (/.f64 x.re (/.f64 (hypot.f64 y.re y.im) y.im)) (neg.f64 (hypot.f64 y.re y.im))))
✓	accuracy	96.9%	(/.f64 x.re (/.f64 (hypot.f64 y.re y.im) y.im))

Results

185.0ms

256×

valid

Compiler

Compiled 154 to 26 computations (83.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 152.0ms

ival-div: 129.0ms (84.8% of total)

ival-mult: 11.0ms (7.2% of total)

ival-hypot: 5.0ms (3.3% of total)

ival-fma: 3.0ms (2% of total)

ival-neg: 2.0ms (1.3% of total)

ival-add: 1.0ms (0.7% of total)

const: 0.0ms (0% of total)

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

series39.0ms (0.3%)

Counts

11 → 288

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

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

Calls

75 calls:

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

rewrite118.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	346
1	560	284

Stop Event

1×	node limit

Counts

11 → 367

Calls

Call 1

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

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

simplify590.0ms (4%)

Algorithm

1×	egg-herbie

Rules

703×	`associate-l`
601×	`fma-define`
413×	`times-frac`
330×	`distribute-lft-in`
326×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1257	29251
1	3252	27677

Stop Event

1×	node limit

Counts

655 → 838

Calls

Call 1

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

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

eval936.0ms (6.4%)

Compiler: Compiled 35594 to 4571 computations (87.2% saved)

prune346.0ms (2.4%)

Pruning

29 alts after pruning (22 fresh and 7 done)

	Pruned	Kept	Total
New	1384	9	1393
Fresh	1	13	14
Picked	3	2	5
Done	0	5	5
Total	1388	29	1417

Accuracy

100.0%

Counts

1417 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.7%	(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (*.f64 (/.f64 (/.f64 x.re (hypot.f64 y.re y.im)) #s(literal -1 binary64)) (/.f64 y.im (hypot.f64 y.re y.im))))
	53.3%	(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 (/.f64 (/.f64 y.im y.re) (hypot.f64 y.im y.re)))))
	20.1%	(fma.f64 x.im (/.f64 (/.f64 y.re y.im) y.im) (/.f64 x.re y.im))
	61.8%	(fma.f64 #s(literal 1 binary64) (/.f64 x.im (hypot.f64 y.re y.im)) (/.f64 (/.f64 x.re (/.f64 (hypot.f64 y.re y.im) y.im)) (neg.f64 (hypot.f64 y.re y.im))))
	50.7%	(/.f64 (-.f64 (fma.f64 x.re (pow.f64 (/.f64 y.re y.im) #s(literal 2 binary64)) (*.f64 x.im (/.f64 y.re y.im))) x.re) y.im)
	52.9%	(/.f64 (-.f64 (/.f64 x.im (/.f64 y.im y.re)) x.re) y.im)
	53.4%	(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
✓	53.0%	(/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)
	57.5%	(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
✓	54.8%	(/.f64 (+.f64 x.im (/.f64 (*.f64 (neg.f64 x.re) y.im) y.re)) y.re)
✓	41.0%	(/.f64 (.f64 y.re x.im) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
	50.3%	(/.f64 (*.f64 y.im (-.f64 (/.f64 x.im y.im) (/.f64 x.re y.re))) y.re)
	59.3%	(/.f64 (.f64 y.im (-.f64 (.f64 y.re (/.f64 x.im y.im)) x.re)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
	11.4%	(/.f64 (neg.f64 x.re) y.re)
✓	39.9%	(/.f64 (neg.f64 x.re) y.im)
	42.6%	(/.f64 y.re (/.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) x.im))
	25.7%	(/.f64 x.re (hypot.f64 y.re y.im))
	9.4%	(/.f64 x.re y.re)
	9.5%	(/.f64 x.re y.im)
✓	40.4%	(/.f64 x.im y.re)
	40.1%	(/.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
	9.5%	(/.f64 #s(literal 1 binary64) (/.f64 y.im x.re))
	52.9%	(-.f64 (/.f64 (*.f64 x.im (/.f64 y.re y.im)) y.im) (/.f64 x.re y.im))
	51.6%	(-.f64 (/.f64 x.im y.re) (*.f64 x.re (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
	9.4%	(*.f64 (/.f64 #s(literal 1 binary64) y.re) x.re)
	11.4%	(*.f64 (/.f64 #s(literal -1 binary64) y.re) x.re)
	39.8%	(*.f64 (/.f64 #s(literal -1 binary64) y.im) x.re)
✓	44.0%	(.f64 x.im (/.f64 y.re (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im))))
✓	40.3%	(*.f64 x.im (/.f64 #s(literal 1 binary64) y.re))

Compiler

Compiled 954 to 401 computations (58% saved)

regimes83.0ms (0.6%)

Counts

50 → 1

Calls

Call 1

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

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

Calls

5 calls:

17.0ms	y.re
15.0ms	x.re
15.0ms	y.im
14.0ms	(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
14.0ms	x.im

Results

Accuracy	Segments	Branch
98.0%	1	`x.re`
98.0%	1	`x.im`
98.0%	1	`y.re`
98.0%	1	`y.im`
98.0%	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)

regimes372.0ms (2.5%)

Counts

48 → 1

Calls

Call 1

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

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:

227.0ms	x.im
73.0ms	y.re
15.0ms	y.im
13.0ms	x.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
95.5%	1	`x.re`
95.5%	1	`x.im`
95.5%	1	`y.re`
95.5%	1	`y.im`
95.5%	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)

regimes123.0ms (0.8%)

Counts

47 → 5

Calls

Call 1

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

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

Calls

5 calls:

65.0ms	x.im
15.0ms	y.im
13.0ms	x.re
13.0ms	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
90.2%	3	`y.im`
87.6%	4	`x.re`
91.3%	3	`(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))`
86.5%	3	`x.im`
94.7%	5	`y.re`

Compiler

Compiled 39 to 27 computations (30.8% saved)

regimes35.0ms (0.2%)

Counts

46 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

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)))
13.0ms	y.re

Results

Accuracy	Segments	Branch
91.1%	3	`(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))`
93.1%	5	`y.re`

Compiler

Compiled 24 to 15 computations (37.5% saved)

regimes66.0ms (0.5%)

Counts

43 → 5

Calls

Call 1

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

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

Calls

3 calls:

34.0ms	y.re
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)))
12.0ms	y.im

Results

Accuracy	Segments	Branch
91.2%	5	`y.re`
91.2%	5	`y.im`
87.9%	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 29 to 19 computations (34.5% saved)

regimes86.0ms (0.6%)

Counts

41 → 5

Calls

Call 1

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

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

Calls

4 calls:

32.0ms	x.im
21.0ms	y.im
20.0ms	y.re
10.0ms	(/.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
75.0%	6	`x.im`
83.1%	5	`(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))`
89.6%	5	`y.im`
88.9%	5	`y.re`

Compiler

Compiled 34 to 23 computations (32.4% saved)

regimes98.0ms (0.7%)

Counts

24 → 3

Calls

Call 1

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

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

Calls

3 calls:

81.0ms	x.re
7.0ms	y.re
7.0ms	y.im

Results

Accuracy	Segments	Branch
82.4%	3	`y.re`
68.3%	4	`x.re`
83.5%	3	`y.im`

Compiler

Compiled 15 to 12 computations (20% saved)

regimes6.0ms (0%)

Counts

16 → 3

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

y.im

Results

Accuracy	Segments	Branch
83.5%	3	`y.im`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes8.0ms (0.1%)

Counts

15 → 3

Calls

Call 1

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

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

Calls

1 calls:

7.0ms

y.im

Results

Accuracy	Segments	Branch
82.4%	3	`y.im`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes10.0ms (0.1%)

Counts

14 → 3

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	y.im
5.0ms	y.re

Results

Accuracy	Segments	Branch
73.4%	3	`y.re`
76.1%	3	`y.im`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes44.0ms (0.3%)

Counts

13 → 3

Calls

Call 1

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

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

Calls

4 calls:

30.0ms	y.im
4.0ms	x.re
4.0ms	y.re
4.0ms	x.im

Results

Accuracy	Segments	Branch
55.2%	3	`x.re`
49.8%	3	`x.im`
63.0%	3	`y.re`
62.1%	3	`y.im`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes11.0ms (0.1%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	y.re
2.0ms	y.im
2.0ms	x.im
2.0ms	x.re

Results

Accuracy	Segments	Branch
40.4%	1	`x.im`
40.4%	1	`x.re`
44.6%	3	`y.im`
40.4%	1	`y.re`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes2.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

y.im

Results

Accuracy	Segments	Branch
40.4%	1	`y.im`

Compiler

Compiled 5 to 4 computations (20% saved)

bsearch70.0ms (0.5%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
18.0ms	6.149496221703291e+41	1.3849980195834526e+48
16.0ms	1.4666947832481855e-147	3.618499711170646e-146
14.0ms	-1.022875902127317e-111	-5.980084267465522e-113
18.0ms	-5.1254913126913035e+149	-1.6809078502901717e+143

Results

45.0ms

512×

valid

Compiler

Compiled 1332 to 773 computations (42% saved)

Precisions

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

ival-mult: 17.0ms (64.2% of total)

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

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

ival-add: 2.0ms (7.6% of total)

const: 1.0ms (3.8% of total)

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

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.1562571296707724e+285	+inf
0.0ms	-inf	-1.0154404637791424e+301

Compiler

Compiled 26 to 17 computations (34.6% saved)

bsearch99.0ms (0.7%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
32.0ms	2.62397569632021e+122	2.190210126149466e+134
13.0ms	1.4666947832481855e-147	3.618499711170646e-146
29.0ms	-1.022875902127317e-111	-5.980084267465522e-113
20.0ms	-5.1254913126913035e+149	-1.6809078502901717e+143

Results

64.0ms

528×

valid

Compiler

Compiled 1214 to 743 computations (38.8% saved)

Precisions

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

ival-mult: 35.0ms (76.8% of total)

ival-add: 4.0ms (8.8% of total)

ival-sub: 3.0ms (6.6% of total)

ival-div: 3.0ms (6.6% of total)

const: 0.0ms (0% of total)

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

bsearch69.0ms (0.5%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
10.0ms	1.062950046294725e+62	2.4649883451402422e+62
17.0ms	1.7223734934607068e-62	4.907340786098266e-54
16.0ms	-9.456280473639099e-117	-5.992824091704522e-119
21.0ms	-2.211761971625876e+42	-1.8615986616774947e+29

Results

47.0ms

496×

valid

Compiler

Compiled 1080 to 668 computations (38.1% saved)

Precisions

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

ival-mult: 16.0ms (66.8% of total)

ival-div: 3.0ms (12.5% of total)

ival-sub: 2.0ms (8.3% of total)

ival-add: 2.0ms (8.3% of total)

const: 0.0ms (0% of total)

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

bsearch31.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	4.907340786098266e-54	4.7371686915295326e-52
14.0ms	-6.355414192600577e-14	-1.1958286463337747e-15

Results

22.0ms

224×

valid

Compiler

Compiled 418 to 269 computations (35.6% saved)

Precisions

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

ival-mult: 7.0ms (55.9% of total)

ival-div: 3.0ms (24% of total)

ival-sub: 1.0ms (8% of total)

ival-add: 1.0ms (8% 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
12.0ms	4.907340786098266e-54	4.7371686915295326e-52
14.0ms	-6.355414192600577e-14	-1.1958286463337747e-15

Results

20.0ms

224×

valid

Compiler

Compiled 418 to 269 computations (35.6% saved)

Precisions

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

ival-mult: 7.0ms (67.5% of total)

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

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

ival-add: 1.0ms (9.6% 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
15.0ms	4.907340786098266e-54	4.7371686915295326e-52
12.0ms	-6.355414192600577e-14	-1.1958286463337747e-15

Results

20.0ms

224×

valid

Compiler

Compiled 418 to 269 computations (35.6% saved)

Precisions

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

ival-mult: 9.0ms (71.3% of total)

ival-sub: 1.0ms (7.9% of total)

ival-div: 1.0ms (7.9% of total)

ival-add: 1.0ms (7.9% of total)

const: 0.0ms (0% of total)

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

bsearch37.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	108851190.55199084	11185621838.242285
22.0ms	-2.211761971625876e+42	-1.8615986616774947e+29

Results

26.0ms

272×

valid

Compiler

Compiled 417 to 289 computations (30.7% saved)

Precisions

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

ival-mult: 8.0ms (64% of total)

ival-div: 2.0ms (16% of total)

ival-sub: 1.0ms (8% of total)

ival-add: 1.0ms (8% of total)

const: 0.0ms (0% of total)

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

bsearch57.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	8004350497251.229	32566697750990.91
44.0ms	-9.613712028632571e-107	-7.002327887226237e-109

Results

49.0ms

208×

valid

Compiler

Compiled 247 to 186 computations (24.7% saved)

Precisions

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

ival-sub: 32.0ms (78.8% of total)

ival-mult: 6.0ms (14.8% of total)

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

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

const: 0.0ms (0% of total)

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

bsearch45.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	1.1450700830281438e+147	2.1301493065585044e+157
18.0ms	-2.520809747926651e+226	-1.9981621192197642e+220

Results

26.0ms

304×

valid

Compiler

Compiled 330 to 245 computations (25.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 9.0ms (63% of total)

ival-div: 2.0ms (14% of total)

ival-sub: 1.0ms (7% of total)

ival-add: 1.0ms (7% of total)

const: 0.0ms (0% of total)

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

simplify48.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

26×	`*-commutative`
25×	`+-commutative`
24×	`sub-neg`
18×	`neg-sub0`
18×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	143	2159
1	201	2159
2	253	2159
3	289	2159
4	313	2159
5	323	2159
6	325	2159

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)) (/.f64 (/.f64 x.re (/.f64 (hypot.f64 y.re y.im) y.im)) (neg.f64 (hypot.f64 y.re y.im))))
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (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 -10499999999999999946412875683137582843849158624569268368040631896229532172816321829818487218504275271240928809028072311655841040750505634205666377728 binary64)) (/.f64 (-.f64 x.im (.f64 x.re (/.f64 y.im y.re))) y.re) (if (<=.f64 y.re #s(literal -7538195730890965/86645927941275464361825443254471365732388658605494267974077486894206915868925800719999200190754361815543475342543861619655442432 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 3509152759743693/449891379454319638281053850768598185886969711830191663310075557261183758067148787031904068610389085714992091063352089512320826605549429968900851518086516385513472 binary64)) (/.f64 (-.f64 (/.f64 (.f64 x.im y.re) y.im) x.re) y.im) (if (<=.f64 y.re #s(literal 245000000000000017650927317287518590042374144 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (hypot.f64 y.re y.im))) (fma.f64 #s(literal 1 binary64) (/.f64 x.im (hypot.f64 y.re y.im)) (/.f64 (/.f64 x.re (/.f64 (hypot.f64 y.re y.im) y.im)) (neg.f64 (hypot.f64 y.re y.im))))))))
(if (<=.f64 (/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im))) #s(literal -inf.0 binary64)) (/.f64 (-.f64 (.f64 y.re (/.f64 x.im y.im)) x.re) y.im) (if (<=.f64 (/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im))) #s(literal 1999999999999999960318315841040885700386219039705694423600051421123300719965076170448177232372292987688572298794442900745238641790877787395895304332910450668118745492827496294412886841783505081241175060724440547726013803102191981415396885683051819084945689177376162160752265237201158144 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (hypot.f64 y.re y.im))) (fma.f64 #s(literal 1 binary64) (/.f64 x.im (hypot.f64 y.re y.im)) (/.f64 (/.f64 x.re (/.f64 (hypot.f64 y.re y.im) y.im)) (neg.f64 (hypot.f64 y.re y.im))))))
(if (<=.f64 y.re #s(literal -169999999999999991039834309779368256485655359560171112012190257249800166910520463205552816457864052002108786139598547401363578857302070919168000 binary64)) (/.f64 (-.f64 x.im (.f64 x.re (/.f64 y.im y.re))) y.re) (if (<=.f64 y.re #s(literal -5372047532359079/86645927941275464361825443254471365732388658605494267974077486894206915868925800719999200190754361815543475342543861619655442432 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (hypot.f64 y.re y.im))) (if (<=.f64 y.re #s(literal 6748370691814795/899782758908639276562107701537196371773939423660383326620151114522367516134297574063808137220778171429984182126704179024641653211098859937801703036173032771026944 binary64)) (/.f64 (-.f64 (/.f64 (.f64 x.im y.re) y.im) x.re) y.im) (if (<=.f64 y.re #s(literal 18999999999999999136137690626584733501824089756302817337509105210277358769289900673190272408999561852566830722203943841038336 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (hypot.f64 y.re y.im))) (/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)))))
(if (<=.f64 y.im #s(literal -1250000000000000017421514619926762391339008 binary64)) (/.f64 (-.f64 (.f64 y.re (/.f64 x.im y.im)) x.re) y.im) (if (<=.f64 y.im #s(literal -1362822608054263/11356855067118857664833184498250070849275646260739344691898284362197488876771842551971735167402555711886914400097909030211478150447104 binary64)) (/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im))) (if (<=.f64 y.im #s(literal 3618502788666131/452312848583266388373324160190187140051835877600158453279131187530910662656 binary64)) (/.f64 (-.f64 x.im (.f64 x.re (/.f64 y.im y.re))) y.re) (if (<=.f64 y.im #s(literal 235000000000000014510059109872652233314747012403811390255529984 binary64)) (/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im))) (/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)))))
(if (<=.f64 y.im #s(literal -7764359926397905/158456325028528675187087900672 binary64)) (/.f64 (-.f64 (.f64 y.re (/.f64 x.im y.im)) x.re) y.im) (if (<=.f64 y.im #s(literal 2480315093377859/53919893334301279589334030174039261347274288845081144962207220498432 binary64)) (/.f64 (-.f64 x.im (.f64 x.re (/.f64 y.im y.re))) y.re) (/.f64 (-.f64 (/.f64 x.im (/.f64 y.im y.re)) x.re) y.im)))
(if (<=.f64 y.im #s(literal -5324132520958563/1267650600228229401496703205376 binary64)) (/.f64 (-.f64 (.f64 y.re (/.f64 x.im y.im)) x.re) y.im) (if (<=.f64 y.im #s(literal 2480315093377859/53919893334301279589334030174039261347274288845081144962207220498432 binary64)) (/.f64 (-.f64 x.im (.f64 x.re (/.f64 y.im y.re))) y.re) (/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)))
(if (<=.f64 y.im #s(literal -6591783121186793/2535301200456458802993406410752 binary64)) (/.f64 (-.f64 (.f64 x.im (/.f64 y.re y.im)) x.re) y.im) (if (<=.f64 y.im #s(literal 2480315093377859/53919893334301279589334030174039261347274288845081144962207220498432 binary64)) (/.f64 (-.f64 x.im (.f64 x.re (/.f64 y.im y.re))) y.re) (/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)))
(if (<=.f64 y.im #s(literal -370000000000000000038961795825664 binary64)) (/.f64 (neg.f64 x.re) y.im) (if (<=.f64 y.im #s(literal 8500000000 binary64)) (/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re) (/.f64 (neg.f64 x.re) y.im)))
(if (<=.f64 y.re #s(literal -3925019814692101/41315998049390537434494706752048189989275292685267576205290549704650361952269459114074325652482205302974450751563959894016 binary64)) (/.f64 x.im y.re) (if (<=.f64 y.re #s(literal 19500000000000 binary64)) (/.f64 (neg.f64 x.re) y.im) (/.f64 x.im y.re)))
(if (<=.f64 y.im #s(literal -22499999999999998801168144902788537654414163380056007528189185564074109132017591064049072836369345251120618358717342065128770345905106135331003050459781557375698660131196380758939286235476133771668689685337460144102285770752 binary64)) (/.f64 x.re y.im) (if (<=.f64 y.im #s(literal 39000000000000002780663418455933455758769444035556442683130592372251768982296891558898736978466144751876740514989211444123394137733155443358057872410804224 binary64)) (/.f64 x.im y.re) (/.f64 x.re y.im)))
(/.f64 x.im y.re)

Outputs
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (/.f64 (/.f64 x.re (/.f64 (hypot.f64 y.re y.im) y.im)) (neg.f64 (hypot.f64 y.re y.im))))
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (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 -10499999999999999946412875683137582843849158624569268368040631896229532172816321829818487218504275271240928809028072311655841040750505634205666377728 binary64)) (/.f64 (-.f64 x.im (.f64 x.re (/.f64 y.im y.re))) y.re) (if (<=.f64 y.re #s(literal -7538195730890965/86645927941275464361825443254471365732388658605494267974077486894206915868925800719999200190754361815543475342543861619655442432 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 3509152759743693/449891379454319638281053850768598185886969711830191663310075557261183758067148787031904068610389085714992091063352089512320826605549429968900851518086516385513472 binary64)) (/.f64 (-.f64 (/.f64 (.f64 x.im y.re) y.im) x.re) y.im) (if (<=.f64 y.re #s(literal 245000000000000017650927317287518590042374144 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (hypot.f64 y.re y.im))) (fma.f64 #s(literal 1 binary64) (/.f64 x.im (hypot.f64 y.re y.im)) (/.f64 (/.f64 x.re (/.f64 (hypot.f64 y.re y.im) y.im)) (neg.f64 (hypot.f64 y.re y.im))))))))
(if (<=.f64 y.re #s(literal -10499999999999999946412875683137582843849158624569268368040631896229532172816321829818487218504275271240928809028072311655841040750505634205666377728 binary64)) (/.f64 (-.f64 x.im (.f64 x.re (/.f64 y.im y.re))) y.re) (if (<=.f64 y.re #s(literal -7538195730890965/86645927941275464361825443254471365732388658605494267974077486894206915868925800719999200190754361815543475342543861619655442432 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 3509152759743693/449891379454319638281053850768598185886969711830191663310075557261183758067148787031904068610389085714992091063352089512320826605549429968900851518086516385513472 binary64)) (/.f64 (-.f64 (/.f64 (.f64 y.re x.im) y.im) x.re) y.im) (if (<=.f64 y.re #s(literal 245000000000000017650927317287518590042374144 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)) (hypot.f64 y.re y.im))) (fma.f64 #s(literal 1 binary64) (/.f64 x.im (hypot.f64 y.re y.im)) (/.f64 (/.f64 x.re (/.f64 (hypot.f64 y.re y.im) y.im)) (neg.f64 (hypot.f64 y.re y.im))))))))
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(/.f64 x.im y.re)

soundness1.9s (13.2%)

Rules

942×	`log1p-expm1-u`
942×	`expm1-log1p-u`
703×	`fma-neg`
621×	`fma-define`
515×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1933	50554
1	5283	48586
0	40	583
1	704	535
0	38	520
1	639	448
0	681	19292
1	1690	16540
2	5681	16184
0	18	137
1	268	132
2	3887	132

Stop Event

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

Compiler

Compiled 2026 to 493 computations (75.7% saved)

preprocess83.0ms (0.6%)

Compiler: Compiled 1088 to 294 computations (73% saved)

analyze67.0ms (0.5%)

sample1.5s (10.6%)

preprocess348.0ms (2.4%)

explain134.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify98.0ms (0.7%)

localize41.0ms (0.3%)

series30.0ms (0.2%)

rewrite297.0ms (2%)

simplify262.0ms (1.8%)

eval82.0ms (0.6%)

prune145.0ms (1%)

simplify432.0ms (3%)

localize274.0ms (1.9%)

series186.0ms (1.3%)

rewrite197.0ms (1.3%)

simplify973.0ms (6.7%)

eval743.0ms (5.1%)

prune520.0ms (3.6%)

simplify400.0ms (2.7%)

localize411.0ms (2.8%)

series101.0ms (0.7%)

rewrite300.0ms (2.1%)

simplify640.0ms (4.4%)

eval260.0ms (1.8%)

prune187.0ms (1.3%)

simplify208.0ms (1.4%)

localize219.0ms (1.5%)

series39.0ms (0.3%)

rewrite118.0ms (0.8%)

simplify590.0ms (4%)

eval936.0ms (6.4%)

prune346.0ms (2.4%)

regimes83.0ms (0.6%)

regimes372.0ms (2.5%)

regimes123.0ms (0.8%)

regimes35.0ms (0.2%)

regimes66.0ms (0.5%)

regimes86.0ms (0.6%)

regimes98.0ms (0.7%)

regimes6.0ms (0%)

regimes8.0ms (0.1%)

regimes10.0ms (0.1%)

regimes44.0ms (0.3%)

regimes11.0ms (0.1%)

regimes2.0ms (0%)

bsearch70.0ms (0.5%)

bsearch1.0ms (0%)

bsearch99.0ms (0.7%)

bsearch69.0ms (0.5%)

bsearch31.0ms (0.2%)

bsearch30.0ms (0.2%)

bsearch30.0ms (0.2%)

bsearch37.0ms (0.3%)

bsearch57.0ms (0.4%)

bsearch45.0ms (0.3%)

simplify48.0ms (0.3%)

soundness1.9s (13.2%)

preprocess83.0ms (0.6%)

end0.0ms (0%)

Profiling