Metrics for _divideComplex, imaginary part

analyze775.0ms (5.9%)

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
0%	0%	99.8%	0.2%	0%	0%	0%	5
0%	0%	99.8%	0.2%	0%	0%	0%	6
0%	0%	99.8%	0.2%	0%	0%	0%	7
0%	0%	99.8%	0.2%	0%	0%	0%	8
0%	0%	99.8%	0.2%	0%	0%	0%	9
0%	0%	99.8%	0.2%	0%	0%	0%	10
0%	0%	99.8%	0.2%	0%	0%	0%	11
0%	0%	99.8%	0.2%	0%	0%	0%	12

Compiler

Compiled 17 to 13 computations (23.5% saved)

sample1.4s (10.8%)

Results

807.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 578.0ms

ival-mult: 427.0ms (73.9% of total)

ival-div: 54.0ms (9.3% of total)

ival-sub: 46.0ms (8% of total)

ival-add: 37.0ms (6.4% of total)

ival-true: 8.0ms (1.4% of total)

ival-assert: 5.0ms (0.9% of total)

Bogosity

preprocess316.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1255×	`fma-define`
795×	`fmm-def`
503×	`div-sub`
415×	`distribute-rgt-in`
411×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	70	1024
1	237	992
2	469	992
3	1150	992
4	3393	992
5	5806	992
6	6609	992
7	6718	992
8	6738	992
9	6754	992
10	7700	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)))

explain170.0ms (1.3%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
110	-	1	(-3.6283666321332486e-293 3.41862792227229e+134 -4.15073419522002e-279 2.4845757330092365e-157)	`(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))`
1	-	0	-	`(-.f64 (.f64 x.im y.re) (.f64 x.re y.im))`
0	-	0	-	`(+.f64 (.f64 y.re y.re) (.f64 y.im y.im))`
0	-	0	-	`(*.f64 y.re y.re)`
0	-	0	-	`(*.f64 x.re y.im)`
0	-	0	-	`(*.f64 x.im y.re)`
0	-	0	-	`(*.f64 y.im y.im)`
0	-	0	-	`x.re`
0	-	0	-	`y.re`
0	-	0	-	`y.im`
0	-	0	-	`x.im`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))`	o/o	46	0
↳	`(*.f64 x.re y.im)`	overflow	24
↳	`(*.f64 x.im y.re)`	overflow	38
↳	`(-.f64 (.f64 x.im y.re) (.f64 x.re y.im))`	overflow	60
↳	`(*.f64 y.re y.re)`	overflow	74
↳	`(*.f64 y.im y.im)`	overflow	60
↳	`(+.f64 (.f64 y.re y.re) (.f64 y.im y.im))`	overflow	113
`/.f64`	`(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))`	n/o	40	0
↳	`(*.f64 y.re y.re)`	overflow	74
↳	`(*.f64 y.im y.im)`	overflow	60
↳	`(+.f64 (.f64 y.re y.re) (.f64 y.im y.im))`	overflow	113
`/.f64`	`(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))`	o/n	14	0
↳	`(*.f64 x.re y.im)`	overflow	24
↳	`(*.f64 x.im y.re)`	overflow	38
↳	`(-.f64 (.f64 x.im y.re) (.f64 x.re y.im))`	overflow	60
`/.f64`	`(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))`	n/u	7	0
↳	`(*.f64 y.re y.re)`	underflow	52
↳	`(*.f64 y.im y.im)`	underflow	80
↳	`(+.f64 (.f64 y.re y.re) (.f64 y.im y.im))`	underflow	16
`/.f64`	`(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))`	u/n	2	0
↳	`(*.f64 x.re y.im)`	underflow	36
↳	`(*.f64 x.im y.re)`	underflow	18
↳	`(-.f64 (.f64 x.im y.re) (.f64 x.re y.im))`	underflow	2
`-.f64`	`(-.f64 (.f64 x.im y.re) (.f64 x.re y.im))`	nan-rescue	1	0
↳	`(*.f64 x.im y.re)`	overflow	38
↳	`(*.f64 x.re y.im)`	overflow	24

Confusion

	Predicted +	Predicted -
+	109	1
-	0	146

Precision

1.0

Recall

0.990909090909091

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	109	0	1
-	0	0	146

Precision?

1.0

Recall?

0.990909090909091

Freqs

test

number	freq
0	147
1	108
2	1

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Results

45.0ms

512×

valid

Compiler

Compiled 132 to 48 computations (63.6% saved)

Precisions

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

ival-mult: 15.0ms (60.2% of total)

ival-div: 4.0ms (16.1% of total)

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

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

ival-true: 1.0ms (4% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	58.9%	(/.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)

simplify97.0ms (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×	`fmm-def`
318×	`times-frac`
120×	`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	3170	189
11	3222	189
12	3282	189
13	3282	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)

localize40.0ms (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	99.7%	(-.f64 (.f64 x.im y.re) (.f64 x.re y.im))
✓	accuracy	59.3%	(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))

Results

21.0ms

256×

valid

Compiler

Compiled 47 to 13 computations (72.3% saved)

Precisions

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

ival-mult: 7.0ms (60.9% of total)

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

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

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

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

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

series23.0ms (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))>
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#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.im) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 x.re y.im)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 3 binary64))) y.re)) (.f64 #s(literal -1 binary64) (.f64 x.im (pow.f64 y.im #s(literal 2 binary64))))) y.re))) y.re))) y.re))>
#<alt (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (*.f64 x.im y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (.f64 x.im y.re) (.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (.f64 x.im y.re) (.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 (.f64 x.im y.re) (.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.re) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (/.f64 x.im y.re)>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 x.im y.re))>
#<alt (+.f64 (.f64 y.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.im) (pow.f64 y.re #s(literal 3 binary64)))))) (/.f64 x.im y.re))>
#<alt (+.f64 (.f64 y.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) (.f64 y.im (-.f64 (/.f64 (.f64 x.re y.im) (pow.f64 y.re #s(literal 4 binary64))) (/.f64 x.im (pow.f64 y.re #s(literal 3 binary64))))))) (/.f64 x.im y.re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (.f64 x.im y.re) y.im)) y.im)>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (+.f64 (/.f64 (.f64 x.im y.re) y.im) (/.f64 (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))))) y.im)>
#<alt (/.f64 (-.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 (.f64 x.im y.re) y.im))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))))) y.im)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x.re y.im))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.re (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) y.im))) y.im))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.re (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 x.im y.re) (/.f64 (.f64 x.re (pow.f64 y.re #s(literal 2 binary64))) y.im)) y.im))) y.im))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.re (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 3 binary64))) y.im) (.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))) y.im)) (.f64 x.im y.re)) y.im))) y.im))>
#<alt (.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
4.0ms	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)))
1.0ms	x.re	@	-inf	(/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im)))

rewrite509.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

942×	`log1p-expm1-u`
942×	`expm1-log1p-u`
621×	`fma-define`
307×	`fmm-def`
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)))
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(fma.f64 (sqrt.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im))) (sqrt.f64 (-.f64 (.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 (sqrt.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im))) (sqrt.f64 (-.f64 (.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 (sqrt.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im))) (sqrt.f64 (-.f64 (.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 (sqrt.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im))) (sqrt.f64 (-.f64 (.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 (sqrt.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im))) (sqrt.f64 (-.f64 (.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 (sqrt.f64 (.f64 x.im y.re)) (sqrt.f64 (.f64 x.im y.re)) (*.f64 x.re (neg.f64 y.im)))
(fma.f64 (sqrt.f64 (.f64 x.im y.re)) (sqrt.f64 (.f64 x.im y.re)) (.f64 (.f64 x.re (neg.f64 y.im)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (.f64 x.im y.re)) (sqrt.f64 (.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 (.f64 x.im y.re)) (sqrt.f64 (.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 (sqrt.f64 (.f64 x.re y.im)) (neg.f64 (sqrt.f64 (.f64 x.re y.im))) (*.f64 x.im y.re))
(fma.f64 (sqrt.f64 y.re) (.f64 (sqrt.f64 y.re) x.im) (.f64 x.re (neg.f64 y.im)))
(fma.f64 (sqrt.f64 y.re) (.f64 (sqrt.f64 y.re) x.im) (.f64 (*.f64 x.re (neg.f64 y.im)) #s(literal 1 binary64)))
(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))

simplify771.0ms (5.9%)

Algorithm

1×	egg-herbie

Rules

732×	`fmm-def`
266×	`fma-define`
257×	`associate-r`
245×	`associate-l`
238×	`div-sub`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	681	21826
1	1728	18248
2	5733	18146

Stop Event

1×	node limit

Counts

390 → 464

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)
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(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))

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 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (neg.f64 x.re))
(/.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 y.re (/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(.f64 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 y.re (/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
(/.f64 (*.f64 y.re x.im) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
(.f64 #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 (neg.f64 x.im) (fma.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 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 x.im (neg.f64 (-.f64 (/.f64 (.f64 y.im (/.f64 x.re x.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (/.f64 y.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(.f64 (-.f64 (/.f64 (.f64 y.im (/.f64 x.re x.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (/.f64 y.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (neg.f64 x.im))
(.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 (neg.f64 x.im) (fma.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 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 x.im (neg.f64 (-.f64 (/.f64 (.f64 y.im (/.f64 x.re x.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (/.f64 y.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(.f64 (-.f64 (/.f64 (.f64 y.im (/.f64 x.re x.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (/.f64 y.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (neg.f64 x.im))
(.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 (neg.f64 x.im) (fma.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 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 x.im (neg.f64 (-.f64 (/.f64 (.f64 y.im (/.f64 x.re x.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (/.f64 y.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
(.f64 (-.f64 (/.f64 (.f64 y.im (/.f64 x.re x.im)) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (/.f64 y.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))) (neg.f64 x.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 (.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)))))))
(-.f64 (*.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 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 #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 (*.f64 y.re 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 (.f64 y.re (fma.f64 y.re (fma.f64 #s(literal -1 binary64) (/.f64 (.f64 y.re 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 y.im))
(fma.f64 y.re (fma.f64 y.re (fma.f64 x.im (neg.f64 (/.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)))
(/.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)
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(fma.f64 (.f64 (neg.f64 x.re) (sqrt.f64 y.im)) (sqrt.f64 y.im) (.f64 x.im y.re))
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eval54.0ms (0.4%)

Compiler: Compiled 11179 to 1487 computations (86.7% saved)

prune130.0ms (1%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	448	16	464
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	449	16	465

Accuracy

100.0%

Counts

465 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	81.3%	(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 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
▶	50.9%	(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
	56.2%	(/.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) y.re)
	58.1%	(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
	48.2%	(/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (/.f64 (.f64 x.im y.re) y.im)) y.im)
	56.5%	(/.f64 (+.f64 x.im (/.f64 (*.f64 (neg.f64 x.re) y.im) y.re)) y.re)
▶	32.9%	(/.f64 (.f64 (neg.f64 x.re) y.im) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
	42.5%	(/.f64 (.f64 y.re x.im) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
	54.6%	(/.f64 (.f64 x.im (-.f64 y.re (.f64 y.im (/.f64 x.re x.im)))) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
	52.6%	(/.f64 (.f64 x.im (neg.f64 (fma.f64 x.re (/.f64 y.im x.im) (neg.f64 y.re)))) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
	35.2%	(/.f64 (neg.f64 x.re) y.im)
▶	48.2%	(/.f64 x.im y.re)
	79.7%	(-.f64 (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (.f64 y.re (/.f64 x.im (hypot.f64 y.re y.im)))) (*.f64 y.im (/.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
	76.3%	(.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)))
	44.1%	(*.f64 y.re (/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
▶	46.7%	(*.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 516 to 314 computations (39.1% saved)

simplify468.0ms (3.6%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	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	-6336	(*.f64 y.im y.im)
	cost-diff	-6336	(*.f64 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 x.im y.im)
✓	cost-diff	0	(*.f64 y.re (/.f64 x.im y.im))
✓	cost-diff	0	(-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re)
✓	cost-diff	0	(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
✓	cost-diff	0	(/.f64 x.im y.re)
✓	cost-diff	0	(/.f64 x.im (hypot.f64 y.re y.im))
✓	cost-diff	0	(hypot.f64 y.re y.im)
✓	cost-diff	0	(/.f64 y.re (hypot.f64 y.re y.im))
✓	cost-diff	19520	(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))

Rules

1263×	`fma-define`
1138×	`fmm-def`
309×	`distribute-lft-neg-in`
262×	`associate-/r*`
244×	`associate-*r/`

Iterations

Useful iterations: 13 (0.0ms)

Iter	Nodes	Cost
0	38	677
1	75	667
2	138	655
3	283	655
4	533	655
5	872	655
6	1361	655
7	2368	641
8	4388	637
9	5165	637
10	5861	637
11	6017	637
12	6030	637
13	6034	631
14	6119	631
15	6139	631
16	6237	631
17	6829	631
18	6829	631
19	6829	631
20	6997	631
21	7005	631
22	7005	631

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

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

localize189.0ms (1.4%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	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	96.7%	(*.f64 x.im (/.f64 y.re (+.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64)))))
✓	accuracy	65.7%	(/.f64 y.re (+.f64 (pow.f64 y.re #s(literal 2 binary64)) (pow.f64 y.im #s(literal 2 binary64))))
	accuracy	100.0%	(*.f64 y.re y.re)
	accuracy	100.0%	(*.f64 y.im y.im)
✓	accuracy	100.0%	(neg.f64 x.re)
✓	accuracy	71.1%	(/.f64 (.f64 (neg.f64 x.re) y.im) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
✓	accuracy	100.0%	(/.f64 x.im y.im)
✓	accuracy	100.0%	(-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re)
✓	accuracy	99.5%	(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
✓	accuracy	92.7%	(*.f64 y.re (/.f64 x.im y.im))
✓	accuracy	100.0%	(/.f64 x.im y.re)
✓	accuracy	100.0%	(pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))
✓	accuracy	98.9%	(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
✓	accuracy	96.1%	(*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
✓	accuracy	72.2%	(/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))

Results

154.0ms

256×

valid

Compiler

Compiled 176 to 32 computations (81.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 132.0ms

ival-mult: 48.0ms (36.3% of total)

ival-pow2: 37.0ms (28% of total)

ival-div: 28.0ms (21.2% of total)

ival-neg: 9.0ms (6.8% of total)

ival-hypot: 5.0ms (3.8% of total)

ival-add: 3.0ms (2.3% of total)

ival-sub: 1.0ms (0.8% of total)

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

...in/eval/compile.rkt:76:19: 0.0ms (0% of total)

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

series82.0ms (0.6%)

Counts

20 → 504

Calls

Call 1

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

Calls

144 calls:

Time	Variable		Point	Expression
6.0ms	y.im	@	0	(/ y.im (pow (sqrt (+ (* y.re y.re) (* y.im y.im))) 2))
4.0ms	y.im	@	inf	(* x.im (/ y.re (+ (pow y.re 2) (pow y.im 2))))
3.0ms	y.re	@	0	(sqrt (+ (* y.re y.re) (* y.im y.im)))
3.0ms	y.re	@	0	(/ x.im (sqrt (+ (* y.re y.re) (* y.im y.im))))
1.0ms	x.im	@	0	(/ x.im (sqrt (+ (* y.re y.re) (* y.im y.im))))

rewrite240.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	517
1	610	489

Stop Event

1×	node limit

Counts

20 → 641

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

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

simplify781.0ms (6%)

Algorithm

1×	egg-herbie

Rules

541×	`*-commutative`
257×	`sub-neg`
256×	`neg-sub0`
252×	`+-commutative`
251×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1944	50034
1	5217	48364

Stop Event

1×	node limit

Counts

1145 → 1282

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

eval338.0ms (2.6%)

Compiler: Compiled 34859 to 5147 computations (85.2% saved)

prune534.0ms (4.1%)

Pruning

24 alts after pruning (21 fresh and 3 done)

	Pruned	Kept	Total
New	1445	13	1458
Fresh	3	8	11
Picked	2	3	5
Done	0	0	0
Total	1450	24	1474

Accuracy

100.0%

Counts

1474 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.6%	(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)))))
	23.9%	(pow.f64 (pow.f64 (/.f64 x.im y.re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
	24.3%	(/.f64 (/.f64 (*.f64 x.im y.re) y.im) y.im)
	65.2%	(/.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 (hypot.f64 y.re y.im) x.im))
	50.9%	(/.f64 (-.f64 (/.f64 y.re (/.f64 y.im x.im)) x.re) y.im)
	48.2%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 y.im (*.f64 y.re x.im))) x.re) y.im)
	50.6%	(/.f64 (-.f64 (*.f64 (/.f64 y.re y.im) x.im) x.re) y.im)
✓	50.9%	(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
	56.2%	(/.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) y.re)
▶	58.1%	(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
	56.5%	(/.f64 (+.f64 x.im (/.f64 (*.f64 (neg.f64 x.re) y.im) y.re)) y.re)
✓	32.9%	(/.f64 (.f64 (neg.f64 x.re) y.im) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
▶	42.5%	(/.f64 (.f64 y.re x.im) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
	26.4%	(/.f64 (*.f64 x.im (/.f64 y.re y.im)) y.im)
	54.6%	(/.f64 (.f64 x.im (-.f64 y.re (.f64 y.im (/.f64 x.re x.im)))) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
	52.6%	(/.f64 (.f64 x.im (neg.f64 (fma.f64 x.re (/.f64 y.im x.im) (neg.f64 y.re)))) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
▶	35.2%	(/.f64 (neg.f64 x.re) y.im)
✓	48.2%	(/.f64 x.im y.re)
	47.8%	(/.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
	26.5%	(/.f64 #s(literal 1 binary64) (/.f64 y.im (fma.f64 y.re (/.f64 x.im y.im) x.re)))
	76.3%	(.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)))
	48.2%	(*.f64 x.im (/.f64 #s(literal 1 binary64) y.re))
▶	31.3%	(exp.f64 (log.f64 (/.f64 x.im y.re)))
	37.7%	(cbrt.f64 (*.f64 (pow.f64 (/.f64 y.re (hypot.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 (/.f64 x.im (hypot.f64 y.re y.im)) #s(literal 3 binary64))))

Compiler

Compiled 644 to 401 computations (37.7% saved)

simplify436.0ms (3.3%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(/.f64 x.im y.re)
✓	cost-diff	0	(log.f64 (/.f64 x.im y.re))
✓	cost-diff	12800	(exp.f64 (log.f64 (/.f64 x.im y.re)))
✓	cost-diff	-6272	(/.f64 (.f64 y.re x.im) (+.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	(*.f64 y.re x.im)
✓	cost-diff	-6336	(-.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))
✓	cost-diff	-6336	(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
✓	cost-diff	0	(/.f64 y.im y.re)
✓	cost-diff	0	(*.f64 x.re (/.f64 y.im y.re))
	cost-diff	0	(neg.f64 x.re)
✓	cost-diff	0	(/.f64 (neg.f64 x.re) y.im)
✓	cost-diff	6400	(/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re))
✓	cost-diff	6400	(*.f64 x.re (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)))
✓	cost-diff	6400	(neg.f64 (*.f64 x.re (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re))))
✓	cost-diff	25920	(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

1221×	`fma-define`
1016×	`fmm-def`
314×	`associate-/r*`
294×	`distribute-lft-neg-in`
277×	`distribute-rgt-in`

Iterations

Useful iterations: 13 (0.0ms)

Iter	Nodes	Cost
0	36	682
1	73	666
2	149	662
3	277	662
4	569	662
5	1085	662
6	1776	662
7	2886	636
8	4755	636
9	5529	636
10	6072	636
11	6204	636
12	6216	636
13	6218	630
14	6298	630
15	6594	630
16	6716	630
17	6716	630
18	6716	630
19	6884	630
20	6892	630
21	6892	630

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

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

localize100.0ms (0.8%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(/.f64 x.im y.re)
✓	accuracy	96.4%	(exp.f64 (log.f64 (/.f64 x.im y.re)))
✓	accuracy	83.3%	(log.f64 (/.f64 x.im y.re))
	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	83.3%	(/.f64 (.f64 y.re x.im) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
✓	accuracy	100.0%	(/.f64 y.im y.re)
✓	accuracy	100.0%	(-.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))
✓	accuracy	99.6%	(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
✓	accuracy	95.9%	(*.f64 x.re (/.f64 y.im y.re))
✓	accuracy	100.0%	(/.f64 (neg.f64 x.re) y.im)
	accuracy	100.0%	(neg.f64 x.re)
✓	accuracy	100.0%	(neg.f64 (*.f64 x.re (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (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	99.6%	(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	97.3%	(*.f64 x.re (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)))

Results

41.0ms	153×	0	valid
27.0ms	103×	0	invalid

Compiler

Compiled 162 to 30 computations (81.5% saved)

Precisions

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

ival-div: 16.0ms (33.7% of total)

ival-mult: 11.0ms (23.2% of total)

ival-hypot: 9.0ms (18.9% of total)

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

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

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

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

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

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

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

series287.0ms (2.2%)

Counts

13 → 408

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

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

Calls

108 calls:

Time	Variable		Point	Expression
87.0ms	x.im	@	0	(log (/ x.im y.re))
81.0ms	y.re	@	0	(log (/ x.im y.re))
30.0ms	x.im	@	-inf	(log (/ x.im y.re))
29.0ms	y.re	@	-inf	(log (/ x.im y.re))
6.0ms	x.im	@	inf	(log (/ x.im y.re))

rewrite209.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	429
1	623	380

Stop Event

1×	node limit

Counts

13 → 420

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

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

simplify565.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

673×	`fma-define`
495×	`times-frac`
315×	`*-commutative`
233×	`sub-neg`
228×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1365	37496
1	3617	35613

Stop Event

1×	node limit

Counts

828 → 838

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

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

eval143.0ms (1.1%)

Compiler: Compiled 19238 to 3320 computations (82.7% saved)

prune163.0ms (1.2%)

Pruning

30 alts after pruning (23 fresh and 7 done)

	Pruned	Kept	Total
New	928	11	939
Fresh	4	12	16
Picked	1	4	5
Done	0	3	3
Total	933	30	963

Accuracy

100.0%

Counts

963 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	97.6%	(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)))))
	31.2%	(pow.f64 (E.f64) (log.f64 (/.f64 x.im y.re)))
	24.3%	(/.f64 (/.f64 (*.f64 x.im y.re) y.im) y.im)
	65.2%	(/.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 (hypot.f64 y.re y.im) x.im))
▶	50.9%	(/.f64 (-.f64 (/.f64 y.re (/.f64 y.im x.im)) x.re) y.im)
	48.2%	(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 y.im (*.f64 y.re x.im))) x.re) y.im)
	50.6%	(/.f64 (-.f64 (*.f64 (/.f64 y.re y.im) x.im) x.re) y.im)
✓	50.9%	(/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)
	58.0%	(/.f64 (-.f64 x.im (pow.f64 (cbrt.f64 (*.f64 x.re (/.f64 y.im y.re))) #s(literal 3 binary64))) y.re)
	56.5%	(/.f64 (-.f64 x.im (/.f64 (*.f64 x.re y.im) y.re)) y.re)
	56.6%	(/.f64 (-.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 y.re (*.f64 x.re y.im)))) y.re)
✓	58.1%	(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
▶	46.2%	(/.f64 (-.f64 x.im (*.f64 x.im (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64)))) y.re)
	55.0%	(/.f64 (.f64 (fma.f64 x.re (/.f64 y.im (.f64 x.im y.re)) #s(literal -1 binary64)) (neg.f64 x.im)) y.re)
✓	32.9%	(/.f64 (.f64 (neg.f64 x.re) y.im) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
✓	42.5%	(/.f64 (.f64 y.re x.im) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
	20.3%	(/.f64 (*.f64 x.re (/.f64 y.im (neg.f64 y.re))) y.re)
▶	26.4%	(/.f64 (*.f64 x.im (/.f64 y.re y.im)) y.im)
	52.6%	(/.f64 (.f64 x.im (neg.f64 (fma.f64 x.re (/.f64 y.im x.im) (neg.f64 y.re)))) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
✓	35.2%	(/.f64 (neg.f64 x.re) y.im)
▶	11.4%	(/.f64 x.re y.im)
✓	48.2%	(/.f64 x.im y.re)
	47.8%	(/.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
	26.5%	(/.f64 #s(literal 1 binary64) (/.f64 y.im (fma.f64 y.re (/.f64 x.im y.im) x.re)))
	11.5%	(/.f64 #s(literal 1 binary64) (/.f64 y.im x.re))
	57.6%	(-.f64 (/.f64 x.im y.re) (/.f64 (*.f64 x.re (/.f64 y.im y.re)) y.re))
▶	76.3%	(.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)))
	35.1%	(*.f64 x.re (/.f64 #s(literal 1 binary64) (neg.f64 y.im)))
	48.2%	(*.f64 x.im (/.f64 #s(literal 1 binary64) y.re))
	37.7%	(cbrt.f64 (*.f64 (pow.f64 (/.f64 y.re (hypot.f64 y.re y.im)) #s(literal 3 binary64)) (pow.f64 (/.f64 x.im (hypot.f64 y.re y.im)) #s(literal 3 binary64))))

Compiler

Compiled 723 to 465 computations (35.7% saved)

simplify104.0ms (0.8%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 x.im (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64)))
✓	cost-diff	0	(-.f64 x.im (*.f64 x.im (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64))))
✓	cost-diff	0	(/.f64 (-.f64 x.im (*.f64 x.im (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64)))) y.re)
✓	cost-diff	-6336	(-.f64 (/.f64 y.re (/.f64 y.im x.im)) x.re)
✓	cost-diff	-6336	(/.f64 (-.f64 (/.f64 y.re (/.f64 y.im x.im)) x.re) y.im)
✓	cost-diff	0	(/.f64 y.im x.im)
✓	cost-diff	0	(/.f64 y.re (/.f64 y.im x.im))
✓	cost-diff	0	(/.f64 y.re y.im)
✓	cost-diff	0	(*.f64 x.im (/.f64 y.re y.im))
✓	cost-diff	0	(/.f64 (*.f64 x.im (/.f64 y.re y.im)) y.im)
✓	cost-diff	0	(/.f64 x.re y.im)
✓	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	6528	(.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)))

Rules

835×	`fmm-def`
591×	`times-frac`
450×	`div-sub`
413×	`distribute-lft-neg-in`
296×	`fma-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	33	605
1	77	599
2	156	599
3	439	593
4	1250	589
5	2675	589
6	4505	589
7	6592	589

Stop Event

1×	node limit

Calls

Call 1

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

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

localize98.0ms (0.7%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 x.im (*.f64 x.im (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64))))
✓	accuracy	99.6%	(pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64))
✓	accuracy	99.2%	(/.f64 (-.f64 x.im (*.f64 x.im (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64)))) y.re)
✓	accuracy	90.1%	(*.f64 x.im (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64)))
✓	accuracy	100.0%	(/.f64 y.im x.im)
✓	accuracy	100.0%	(-.f64 (/.f64 y.re (/.f64 y.im x.im)) x.re)
✓	accuracy	99.5%	(/.f64 (-.f64 (/.f64 y.re (/.f64 y.im x.im)) x.re) y.im)
✓	accuracy	91.6%	(/.f64 y.re (/.f64 y.im x.im))
✓	accuracy	100.0%	(/.f64 y.re y.im)
✓	accuracy	98.7%	(/.f64 (*.f64 x.im (/.f64 y.re y.im)) y.im)
✓	accuracy	92.4%	(*.f64 x.im (/.f64 y.re y.im))
✓	accuracy	100.0%	(/.f64 x.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)) (/.f64 (-.f64 (.f64 x.im y.re) (*.f64 x.re y.im)) (hypot.f64 y.re y.im)))
	accuracy	99.7%	(-.f64 (.f64 x.im y.re) (.f64 x.re y.im))
✓	accuracy	77.1%	(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (hypot.f64 y.re y.im))

Results

60.0ms

256×

valid

Compiler

Compiled 146 to 28 computations (80.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-div: 17.0ms (45.9% of total)

ival-mult: 8.0ms (21.6% of total)

ival-hypot: 5.0ms (13.5% of total)

ival-sub: 4.0ms (10.8% of total)

ival-pow2: 3.0ms (8.1% of total)

...in/eval/compile.rkt:76:19: 0.0ms (0% of total)

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

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

series49.0ms (0.4%)

Counts

15 → 456

Calls

Call 1

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

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

Calls

132 calls:

Time	Variable		Point	Expression
3.0ms	x.re	@	0	(/ (- (* x.im y.re) (* x.re y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
1.0ms	y.re	@	inf	(- (/ y.re (/ y.im x.im)) x.re)
1.0ms	x.im	@	-inf	(/ (- x.im (* x.im (pow (/ y.im y.re) 2))) y.re)
1.0ms	x.im	@	0	(/ (- x.im (* x.im (pow (/ y.im y.re) 2))) y.re)
1.0ms	x.im	@	inf	(/ (- x.im (* x.im (pow (/ y.im y.re) 2))) y.re)

rewrite154.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

266×	`log1p-expm1-u`
266×	`expm1-log1p-u`
263×	`add-cube-cbrt`
261×	`add-exp-log`
261×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	450
1	605	438

Stop Event

1×	node limit

Counts

15 → 503

Calls

Call 1

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

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

simplify515.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

866×	`times-frac`
672×	`fma-define`
334×	`*-commutative`
201×	`neg-sub0`
190×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1498	44069
1	4020	40583

Stop Event

1×	node limit

Counts

959 → 917

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

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

eval263.0ms (2%)

Compiler: Compiled 28666 to 4345 computations (84.8% saved)

prune226.0ms (1.7%)

Pruning

31 alts after pruning (25 fresh and 6 done)

	Pruned	Kept	Total
New	1276	13	1289
Fresh	6	12	18
Picked	4	1	5
Done	2	5	7
Total	1288	31	1319

Accuracy

100.0%

Counts

1319 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	24.3%	(/.f64 (/.f64 (*.f64 y.re x.im) y.im) y.im)
	65.2%	(/.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 (hypot.f64 y.re y.im) x.im))
	27.9%	(/.f64 (/.f64 y.re (/.f64 y.im x.im)) y.im)
	26.3%	(/.f64 (/.f64 x.im (/.f64 y.im y.re)) y.im)
	50.6%	(/.f64 (-.f64 (*.f64 (/.f64 y.re y.im) x.im) x.re) y.im)
	56.5%	(/.f64 (-.f64 x.im (/.f64 (*.f64 x.re y.im) y.re)) y.re)
	56.6%	(/.f64 (-.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 y.re (*.f64 x.re y.im)))) y.re)
✓	58.1%	(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
	46.2%	(/.f64 (-.f64 x.im (*.f64 x.im (/.f64 (/.f64 y.im y.re) (/.f64 y.re y.im)))) y.re)
✓	32.9%	(/.f64 (.f64 (neg.f64 x.re) y.im) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
✓	42.5%	(/.f64 (.f64 y.re x.im) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
	20.3%	(/.f64 (*.f64 x.re (/.f64 y.im (neg.f64 y.re))) y.re)
	52.6%	(/.f64 (.f64 x.im (neg.f64 (fma.f64 x.re (/.f64 y.im x.im) (neg.f64 y.re)))) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
✓	35.2%	(/.f64 (neg.f64 x.re) y.im)
✓	11.4%	(/.f64 x.re y.im)
✓	48.2%	(/.f64 x.im y.re)
	47.8%	(/.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
	26.5%	(/.f64 #s(literal 1 binary64) (/.f64 y.im (fma.f64 y.re (/.f64 x.im y.im) x.re)))
	11.5%	(/.f64 #s(literal 1 binary64) (/.f64 y.im x.re))
	57.6%	(-.f64 (/.f64 x.im y.re) (/.f64 (*.f64 x.re (/.f64 y.im y.re)) y.re))
	76.0%	(.f64 (pow.f64 (sqrt.f64 (hypot.f64 y.re y.im)) #s(literal -2 binary64)) (/.f64 (-.f64 (.f64 x.im y.re) (*.f64 x.re y.im)) (hypot.f64 y.re y.im)))
	40.6%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (.f64 (neg.f64 x.re) y.im) (hypot.f64 y.re y.im)))
	34.0%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (+.f64 (.f64 #s(literal -1 binary64) x.im) (/.f64 (*.f64 x.re y.im) y.re)))
	33.1%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (+.f64 x.re (.f64 y.re (/.f64 (neg.f64 x.im) y.im))))
	32.1%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (+.f64 x.im (/.f64 (.f64 (neg.f64 x.re) y.im) y.re)))
	76.1%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (.f64 (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)) (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))))
	27.2%	(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) x.re)
	35.1%	(*.f64 x.re (/.f64 #s(literal 1 binary64) (neg.f64 y.im)))
	25.3%	(*.f64 x.im (/.f64 (/.f64 y.re y.im) y.im))
	46.1%	(*.f64 x.im (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y.im y.re) #s(literal 2 binary64))) y.re))
	48.2%	(*.f64 x.im (/.f64 #s(literal 1 binary64) y.re))

Compiler

Compiled 1013 to 454 computations (55.2% saved)

regimes134.0ms (1%)

Counts

54 → 1

Calls

Call 1

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

63.0ms	x.im
19.0ms	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)))
15.0ms	x.re
15.0ms	y.im

Results

Accuracy	Segments	Branch
97.6%	1	`x.re`
97.6%	1	`x.im`
97.6%	1	`y.re`
97.6%	1	`y.im`
97.6%	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)

regimes147.0ms (1.1%)

Counts

53 → 3

Calls

Call 1

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

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

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

Calls

5 calls:

83.0ms	(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
15.0ms	y.re
15.0ms	x.im
15.0ms	y.im
14.0ms	x.re

Results

Accuracy	Segments	Branch
81.3%	1	`x.re`
86.7%	3	`x.im`
90.9%	4	`y.re`
89.2%	3	`y.im`
89.9%	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 39 to 27 computations (30.8% saved)

regimes17.0ms (0.1%)

Counts

50 → 2

Calls

Call 1

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

Outputs

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

Calls

1 calls:

12.0ms

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

Results

Accuracy	Segments	Branch
88.1%	2	`(/.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)

regimes238.0ms (1.8%)

Counts

47 → 5

Calls

Call 1

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

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

Calls

5 calls:

54.0ms	y.im
13.0ms	y.re
13.0ms	x.re
13.0ms	x.im
12.0ms	(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))

Results

Accuracy	Segments	Branch
77.8%	4	`x.re`
74.3%	3	`x.im`
82.3%	3	`y.im`
86.9%	5	`y.re`
82.1%	5	`(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))`

Compiler

Compiled 39 to 27 computations (30.8% saved)

regimes18.0ms (0.1%)

Counts

28 → 3

Calls

Call 1

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

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

Calls

2 calls:

8.0ms	y.re
8.0ms	y.im

Results

Accuracy	Segments	Branch
81.9%	3	`y.im`
81.3%	3	`y.re`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes13.0ms (0.1%)

Counts

19 → 3

Calls

Call 1

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

Calls

1 calls:

11.0ms

y.im

Results

Accuracy	Segments	Branch
81.9%	3	`y.im`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes23.0ms (0.2%)

Counts

17 → 3

Calls

Call 1

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

4 calls:

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

Results

Accuracy	Segments	Branch
62.2%	3	`x.im`
64.7%	4	`x.re`
70.5%	3	`y.re`
73.7%	3	`y.im`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes33.0ms (0.3%)

Counts

14 → 3

Calls

Call 1

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

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

Calls

2 calls:

28.0ms	y.im
4.0ms	y.re

Results

Accuracy	Segments	Branch
63.4%	3	`y.re`
67.3%	3	`y.im`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes7.0ms (0.1%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
48.2%	1	`x.im`
48.2%	1	`x.re`
48.2%	1	`y.re`
50.5%	2	`y.im`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

1.0ms	y.re
1.0ms	y.im

Results

Accuracy	Segments	Branch
48.2%	1	`y.re`
48.2%	1	`y.im`

Compiler

Compiled 10 to 8 computations (20% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	5.280854742657605e+303	+inf
0.0ms	-inf	-8.646133515289845e+245

Compiler

Compiled 22 to 18 computations (18.2% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.280854742657605e+303	+inf

Compiler

Compiled 22 to 18 computations (18.2% saved)

bsearch71.0ms (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	7.093016590028894e+71	2.1291354810537375e+83
11.0ms	3.1428649654393043e-84	1.8728908539351428e-83
14.0ms	-2.8682110217891933e-85	-6.496588076220284e-89
24.0ms	-1.6562891130113158e+83	-2.094196061466472e+82

Results

48.0ms

480×

valid

Compiler

Compiled 1042 to 648 computations (37.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-mult: 27.0ms (77.3% of total)

ival-div: 3.0ms (8.6% of total)

ival-sub: 2.0ms (5.7% of total)

ival-add: 2.0ms (5.7% of total)

ival-true: 1.0ms (2.9% of total)

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

bsearch28.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	5.9148411959236536e-21	9.125803943271374e-18
10.0ms	-5.966780839162301e-10	-2.6000165834318803e-10

Results

17.0ms

208×

valid

Compiler

Compiled 386 to 252 computations (34.7% saved)

Precisions

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

ival-mult: 7.0ms (64.8% of total)

ival-sub: 1.0ms (9.3% of total)

ival-div: 1.0ms (9.3% of total)

ival-add: 1.0ms (9.3% of total)

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

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

bsearch25.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	5.9148411959236536e-21	9.125803943271374e-18
8.0ms	-5.966780839162301e-10	-2.6000165834318803e-10

Results

16.0ms

208×

valid

Compiler

Compiled 386 to 252 computations (34.7% saved)

Precisions

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

ival-mult: 6.0ms (65.1% of total)

ival-sub: 1.0ms (10.8% of total)

ival-div: 1.0ms (10.8% of total)

ival-add: 1.0ms (10.8% of total)

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

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

bsearch28.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	5.9148411959236536e-21	9.125803943271374e-18
12.0ms	-7.857429512491228e+36	-9.995494081538863e+35

Results

19.0ms

224×

valid

Compiler

Compiled 344 to 242 computations (29.7% saved)

Precisions

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

ival-mult: 6.0ms (60.5% of total)

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

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

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

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

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

bsearch130.0ms (1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
120.0ms	5.9148411959236536e-21	9.125803943271374e-18
8.0ms	-5.966780839162301e-10	-2.6000165834318803e-10

Results

122.0ms

208×

valid

Compiler

Compiled 243 to 187 computations (23% saved)

Precisions

Click to see histograms. Total time spent on operations: 116.0ms

ival-mult: 112.0ms (96.6% of total)

ival-sub: 1.0ms (0.9% of total)

ival-div: 1.0ms (0.9% of total)

ival-add: 1.0ms (0.9% of total)

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

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

bsearch17.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	1.5087216283767657e+206	5.493358109261294e+213

Results

10.0ms

144×

valid

Compiler

Compiled 166 to 126 computations (24.1% saved)

Precisions

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

ival-mult: 4.0ms (63.4% of total)

ival-sub: 1.0ms (15.9% of total)

ival-div: 1.0ms (15.9% of total)

ival-add: 1.0ms (15.9% of total)

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

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

simplify28.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

25×	`*-commutative`
23×	`+-commutative`
22×	`sub-neg`
15×	`neg-sub0`
15×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	111	1426
1	164	1426
2	214	1426
3	247	1426
4	266	1426
5	273	1426
6	274	1426

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)))))
(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 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (.f64 y.re (/.f64 x.im (hypot.f64 y.re y.im)))) (.f64 y.im (/.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))) (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 9999999999999999392535525055364621860040287220117324953190771571323204563013233902843309257440507748436856118056162172578717193742636030530235798840866882774987301441682011041067710253162440905843719802548551599076639682550821832659549112269607949805346034918662572406407604380845959862074904348138143744 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 y.re (hypot.f64 y.re y.im)) (/.f64 (hypot.f64 y.re y.im) x.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 9999999999999999392535525055364621860040287220117324953190771571323204563013233902843309257440507748436856118056162172578717193742636030530235798840866882774987301441682011041067710253162440905843719802548551599076639682550821832659549112269607949805346034918662572406407604380845959862074904348138143744 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 y.re (hypot.f64 y.re y.im)) (/.f64 (hypot.f64 y.re y.im) x.im)))
(if (<=.f64 y.re #s(literal -100000000000000003080666323096525690777025204007643346346089744069413985291331436544 binary64)) (/.f64 (-.f64 x.im (.f64 x.re (/.f64 y.im y.re))) y.re) (if (<=.f64 y.re #s(literal -5017028222478281/71671831749689734737838152978190216899892655911508785116799651230841339877765150252188079784691427704832 binary64)) (/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im))) (if (<=.f64 y.re #s(literal 2734063405978765/546812681195752981093125556779405341338292357723303109106442651602488249799843980805878294255763456 binary64)) (/.f64 (-.f64 (.f64 (/.f64 y.re y.im) x.im) x.re) y.im) (if (<=.f64 y.re #s(literal 3350000000000000045165787463154003835735120007753939129479158129395415121920 binary64)) (/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im))) (/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)))))
(if (<=.f64 y.im #s(literal -3771848557197643/9671406556917033397649408 binary64)) (/.f64 (-.f64 (.f64 y.re (/.f64 x.im y.im)) x.re) y.im) (if (<=.f64 y.im #s(literal 1882207611218875/1298074214633706907132624082305024 binary64)) (/.f64 (-.f64 x.im (/.f64 (.f64 x.re y.im) y.re)) y.re) (/.f64 (-.f64 (/.f64 y.re (/.f64 y.im x.im)) x.re) y.im)))
(if (<=.f64 y.im #s(literal -5609415803011879/9671406556917033397649408 binary64)) (/.f64 (-.f64 (.f64 y.re (/.f64 x.im y.im)) x.re) y.im) (if (<=.f64 y.im #s(literal 934613434536269/5192296858534827628530496329220096 binary64)) (/.f64 (-.f64 x.im (/.f64 (.f64 x.re y.im) y.re)) y.re) (/.f64 (-.f64 (*.f64 y.re (/.f64 x.im y.im)) x.re) y.im)))
(if (<=.f64 y.im #s(literal -6199999999999999879315674985752690688 binary64)) (/.f64 (neg.f64 x.re) y.im) (if (<=.f64 y.im #s(literal 5841333965851681/649037107316853453566312041152512 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.im #s(literal -870426590122533/2417851639229258349412352 binary64)) (/.f64 (neg.f64 x.re) y.im) (if (<=.f64 y.im #s(literal 5841333965851681/649037107316853453566312041152512 binary64)) (/.f64 x.im y.re) (/.f64 (neg.f64 x.re) y.im)))
(if (<=.f64 y.im #s(literal 460000000000000032148672603570018736655052614571339651629130042387129736791147143545402739323354259212679252801715205448481802229965935629510686743516080870169965720939957278592489054091045321617864157822976 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)) (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 (/.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 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (.f64 y.re (/.f64 x.im (hypot.f64 y.re y.im)))) (.f64 y.im (/.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))) (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 9999999999999999392535525055364621860040287220117324953190771571323204563013233902843309257440507748436856118056162172578717193742636030530235798840866882774987301441682011041067710253162440905843719802548551599076639682550821832659549112269607949805346034918662572406407604380845959862074904348138143744 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 y.re (hypot.f64 y.re y.im)) (/.f64 (hypot.f64 y.re y.im) x.im))))
(if (<=.f64 (/.f64 (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im))) #s(literal -inf.0 binary64)) (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (.f64 y.re (/.f64 x.im (hypot.f64 y.re y.im)))) (.f64 y.im (/.f64 x.re (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))) (if (<=.f64 (/.f64 (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im))) #s(literal 9999999999999999392535525055364621860040287220117324953190771571323204563013233902843309257440507748436856118056162172578717193742636030530235798840866882774987301441682011041067710253162440905843719802548551599076639682550821832659549112269607949805346034918662572406407604380845959862074904348138143744 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))) (/.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 (hypot.f64 y.re y.im) x.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 9999999999999999392535525055364621860040287220117324953190771571323204563013233902843309257440507748436856118056162172578717193742636030530235798840866882774987301441682011041067710253162440905843719802548551599076639682550821832659549112269607949805346034918662572406407604380845959862074904348138143744 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 y.re (hypot.f64 y.re y.im)) (/.f64 (hypot.f64 y.re y.im) x.im)))
(if (<=.f64 (/.f64 (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im))) #s(literal 9999999999999999392535525055364621860040287220117324953190771571323204563013233902843309257440507748436856118056162172578717193742636030530235798840866882774987301441682011041067710253162440905843719802548551599076639682550821832659549112269607949805346034918662572406407604380845959862074904348138143744 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))) (/.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 (hypot.f64 y.re y.im) x.im)))
(if (<=.f64 y.re #s(literal -100000000000000003080666323096525690777025204007643346346089744069413985291331436544 binary64)) (/.f64 (-.f64 x.im (.f64 x.re (/.f64 y.im y.re))) y.re) (if (<=.f64 y.re #s(literal -5017028222478281/71671831749689734737838152978190216899892655911508785116799651230841339877765150252188079784691427704832 binary64)) (/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im))) (if (<=.f64 y.re #s(literal 2734063405978765/546812681195752981093125556779405341338292357723303109106442651602488249799843980805878294255763456 binary64)) (/.f64 (-.f64 (.f64 (/.f64 y.re y.im) x.im) x.re) y.im) (if (<=.f64 y.re #s(literal 3350000000000000045165787463154003835735120007753939129479158129395415121920 binary64)) (/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im))) (/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)))))
(if (<=.f64 y.re #s(literal -100000000000000003080666323096525690777025204007643346346089744069413985291331436544 binary64)) (/.f64 (-.f64 x.im (.f64 x.re (/.f64 y.im y.re))) y.re) (if (<=.f64 y.re #s(literal -5017028222478281/71671831749689734737838152978190216899892655911508785116799651230841339877765150252188079784691427704832 binary64)) (/.f64 (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im))) (if (<=.f64 y.re #s(literal 2734063405978765/546812681195752981093125556779405341338292357723303109106442651602488249799843980805878294255763456 binary64)) (/.f64 (-.f64 (.f64 x.im (/.f64 y.re y.im)) x.re) y.im) (if (<=.f64 y.re #s(literal 3350000000000000045165787463154003835735120007753939129479158129395415121920 binary64)) (/.f64 (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im))) (/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)))))
(if (<=.f64 y.im #s(literal -3771848557197643/9671406556917033397649408 binary64)) (/.f64 (-.f64 (.f64 y.re (/.f64 x.im y.im)) x.re) y.im) (if (<=.f64 y.im #s(literal 1882207611218875/1298074214633706907132624082305024 binary64)) (/.f64 (-.f64 x.im (/.f64 (.f64 x.re y.im) y.re)) y.re) (/.f64 (-.f64 (/.f64 y.re (/.f64 y.im x.im)) x.re) y.im)))
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(if (<=.f64 y.im #s(literal -870426590122533/2417851639229258349412352 binary64)) (/.f64 (neg.f64 x.re) y.im) (if (<=.f64 y.im #s(literal 5841333965851681/649037107316853453566312041152512 binary64)) (/.f64 x.im y.re) (/.f64 (neg.f64 x.re) y.im)))
(if (or (<=.f64 y.im #s(literal -870426590122533/2417851639229258349412352 binary64)) (not (<=.f64 y.im #s(literal 5841333965851681/649037107316853453566312041152512 binary64)))) (/.f64 (neg.f64 x.re) y.im) (/.f64 x.im y.re))
(if (or (<=.f64 y.im #s(literal -870426590122533/2417851639229258349412352 binary64)) (not (<=.f64 y.im #s(literal 5841333965851681/649037107316853453566312041152512 binary64)))) (/.f64 x.re (neg.f64 y.im)) (/.f64 x.im y.re))
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(/.f64 x.im y.re)

soundness1.7s (13.1%)

Rules

942×	`log1p-expm1-u`
942×	`expm1-log1p-u`
732×	`fmm-def`
621×	`fma-define`
541×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	681	21826
1	1728	18248
2	5733	18146
0	18	137
1	268	132
2	3887	132
0	1944	50034
1	5217	48364
0	38	517
1	610	489

Stop Event

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

Compiler

Compiled 2342 to 584 computations (75.1% saved)

preprocess182.0ms (1.4%)

Compiler: Compiled 730 to 224 computations (69.3% saved)

analyze775.0ms (5.9%)

sample1.4s (10.8%)

preprocess316.0ms (2.4%)

explain170.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify97.0ms (0.7%)

localize40.0ms (0.3%)

series23.0ms (0.2%)

rewrite509.0ms (3.9%)

simplify771.0ms (5.9%)

eval54.0ms (0.4%)

prune130.0ms (1%)

simplify468.0ms (3.6%)

localize189.0ms (1.4%)

series82.0ms (0.6%)

rewrite240.0ms (1.8%)

simplify781.0ms (6%)

eval338.0ms (2.6%)

prune534.0ms (4.1%)

simplify436.0ms (3.3%)

localize100.0ms (0.8%)

series287.0ms (2.2%)

rewrite209.0ms (1.6%)

simplify565.0ms (4.3%)

eval143.0ms (1.1%)

prune163.0ms (1.2%)

simplify104.0ms (0.8%)

localize98.0ms (0.7%)

series49.0ms (0.4%)

rewrite154.0ms (1.2%)

simplify515.0ms (3.9%)

eval263.0ms (2%)

prune226.0ms (1.7%)

regimes134.0ms (1%)

regimes147.0ms (1.1%)

regimes17.0ms (0.1%)

regimes238.0ms (1.8%)

regimes18.0ms (0.1%)

regimes13.0ms (0.1%)

regimes23.0ms (0.2%)

regimes33.0ms (0.3%)

regimes7.0ms (0.1%)

regimes3.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch71.0ms (0.5%)

bsearch28.0ms (0.2%)

bsearch25.0ms (0.2%)

bsearch28.0ms (0.2%)

bsearch130.0ms (1%)

bsearch17.0ms (0.1%)

simplify28.0ms (0.2%)

soundness1.7s (13.1%)

preprocess182.0ms (1.4%)

end0.0ms (0%)

Profiling