Metrics for _divideComplex, real part

analyze25.0ms (0.2%)

Memory

9.9MiB live, 48.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 17 to 13 computations (23.5% saved)

sample1.2s (9.2%)

Memory

39.4MiB live, 1 785.3MiB allocated

Samples

750.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 464.0ms

ival-mult: 325.0ms (70.1% of total)

ival-add: 69.0ms (14.9% of total)

ival-div: 60.0ms (12.9% of total)

ival-true: 6.0ms (1.3% of total)

ival-assert: 3.0ms (0.6% of total)

Bogosity

preprocess521.0ms (4%)

Memory

-7.4MiB live, 159.6MiB allocated

Algorithm

1×	egg-herbie

Rules

1 573×	`fmm-def`
912×	`fma-define`
860×	`times-frac`
537×	`div-sub`
318×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	976
1	162	976
2	263	976
3	484	976
4	1174	976
5	3112	976
6	4405	976
7	5572	976
8	6433	976
9	6831	976
10	6959	976
11	7132	976
12	7586	976
13	7586	976
14	7586	976
15	7586	976
16	7946	976

Stop Event

1×	node limit

Calls

Call 1

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

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

explain199.0ms (1.5%)

Memory

-13.1MiB live, 348.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
122	-	3	(1.2670644252493718e-144 2.3186867660479815e+210 1.3583236802583978e-157 3.024231564551932e-285)	`(/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))`
2	-	0	-	`(+.f64 (.f64 x.re y.re) (.f64 x.im 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.re)`
0	-	0	-	`(*.f64 y.im y.im)`
0	-	0	-	`x.re`
0	-	0	-	`y.re`
0	-	0	-	`y.im`
0	-	0	-	`(*.f64 x.im y.im)`
0	-	0	-	`x.im`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))`	o/o	58	0
↳	`(+.f64 (.f64 x.re y.re) (.f64 x.im y.im))`	overflow	68
↳	`(*.f64 x.im y.im)`	overflow	40
↳	`(*.f64 x.re y.re)`	overflow	31
↳	`(*.f64 y.re y.re)`	overflow	63
↳	`(*.f64 y.im y.im)`	overflow	83
↳	`(+.f64 (.f64 y.re y.re) (.f64 y.im y.im))`	overflow	131
`/.f64`	`(/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))`	n/o	44	0
↳	`(*.f64 y.re y.re)`	overflow	63
↳	`(*.f64 y.im y.im)`	overflow	83
↳	`(+.f64 (.f64 y.re y.re) (.f64 y.im y.im))`	overflow	131
`/.f64`	`(/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))`	o/n	10	0
↳	`(+.f64 (.f64 x.re y.re) (.f64 x.im y.im))`	overflow	68
↳	`(*.f64 x.im y.im)`	overflow	40
↳	`(*.f64 x.re y.re)`	overflow	31
`/.f64`	`(/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))`	n/u	4	0
↳	`(*.f64 y.re y.re)`	underflow	58
↳	`(*.f64 y.im y.im)`	underflow	54
↳	`(+.f64 (.f64 y.re y.re) (.f64 y.im y.im))`	underflow	10
`/.f64`	`(/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))`	u/u	2	0
↳	`(+.f64 (.f64 x.re y.re) (.f64 x.im y.im))`	underflow	3
↳	`(*.f64 x.im y.im)`	underflow	22
↳	`(*.f64 x.re y.re)`	underflow	34
↳	`(*.f64 y.re y.re)`	underflow	58
↳	`(*.f64 y.im y.im)`	underflow	54
↳	`(+.f64 (.f64 y.re y.re) (.f64 y.im y.im))`	underflow	10
`+.f64`	`(+.f64 (.f64 x.re y.re) (.f64 x.im y.im))`	nan-rescue	2	0
↳	`(*.f64 x.re y.re)`	overflow	31
↳	`(*.f64 x.im y.im)`	overflow	40
`/.f64`	`(/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))`	u/n	1	0
↳	`(+.f64 (.f64 x.re y.re) (.f64 x.im y.im))`	underflow	3
↳	`(*.f64 x.im y.im)`	underflow	22
↳	`(*.f64 x.re y.re)`	underflow	34

Confusion

	Predicted +	Predicted -
+	119	3
-	0	134

Precision

1.0

Recall

0.9754098360655737

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	119	0	3
-	0	0	134

Precision?

1.0

Recall?

0.9754098360655737

Freqs

test

number	freq
0	137
1	117
2	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

42.0ms

512×

valid

Compiler

Compiled 132 to 48 computations (63.6% saved)

Precisions

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

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

ival-add: 4.0ms (16.7% of total)

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

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

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

eval0.0ms (0%)

Memory: 0.9MiB live, 0.9MiB allocated
Compiler: Compiled 17 to 9 computations (47.1% saved)

prune1.0ms (0%)

Memory

3.1MiB live, 3.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.7%	(/.f64 (fma.f64 x.re y.re (.f64 x.im y.im)) (fma.f64 y.re y.re (.f64 y.im y.im)))
▶	54.7%	(/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))

Compiler

Compiled 36 to 20 computations (44.4% saved)

simplify37.0ms (0.3%)

Memory

-18.9MiB live, 19.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

6×	`fma-define`
2×	`*-commutative`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	336
1	26	336
2	30	336

Stop Event

1×

saturated

Calls

Call 1

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

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

localize54.0ms (0.4%)

Memory

-1.8MiB live, 117.5MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y.im y.im)
✓	accuracy	100.0%	(*.f64 x.im y.im)
✓	accuracy	99.6%	(fma.f64 x.re y.re (*.f64 x.im y.im))
✓	accuracy	55.2%	(/.f64 (fma.f64 x.re y.re (.f64 x.im y.im)) (fma.f64 y.re y.re (.f64 y.im y.im)))
✓	accuracy	100.0%	(*.f64 x.re y.re)
✓	accuracy	100.0%	(*.f64 x.im y.im)
✓	accuracy	99.3%	(+.f64 (.f64 x.re y.re) (.f64 x.im y.im))
✓	accuracy	55.2%	(/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))

Samples

34.0ms

256×

valid

Compiler

Compiled 82 to 13 computations (84.1% saved)

Precisions

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

ival-mult: 18.0ms (81.7% of total)

ival-div: 2.0ms (9.1% of total)

ival-add: 2.0ms (9.1% of total)

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

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

series31.0ms (0.2%)

Memory

22.8MiB live, 97.6MiB allocated

Counts

9 → 240

Calls

Call 1

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

Calls

72 calls:

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

rewrite490.0ms (3.8%)

Memory

-10.6MiB live, 554.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

822×	`log1p-expm1-u`
822×	`expm1-log1p-u`
503×	`fma-define`
241×	`fmm-def`
218×	`expm1-undefine`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	236
1	267	221
2	3561	221

Stop Event

1×	node limit

Counts

9 → 269

Calls

Call 1

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

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

simplify241.0ms (1.9%)

Memory

10.9MiB live, 485.1MiB allocated

Algorithm

1×	egg-herbie

Rules

592×	`cancel-sign-sub-inv`
532×	`distribute-lft-neg-in`
475×	`distribute-rgt-neg-in`
338×	`fmm-def`
242×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	580	21659
1	1440	20413
2	4725	20293

Stop Event

1×	node limit

Counts

509 → 318

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

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

eval69.0ms (0.5%)

Memory: -4.7MiB live, 68.3MiB allocated
Compiler: Compiled 6 624 to 1 165 computations (82.4% saved)

prune139.0ms (1.1%)

Memory

-7.6MiB live, 161.0MiB allocated

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	331	15	346
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	332	16	348

Accuracy

100.0%

Counts

348 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	28.7%	(pow.f64 (/.f64 (sqrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) (hypot.f64 y.re y.im)) #s(literal 2 binary64))
	50.3%	(/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) y.re)
	47.8%	(/.f64 (+.f64 (-.f64 x.im (.f64 x.re (pow.f64 (/.f64 y.re y.im) #s(literal 3 binary64)))) (/.f64 (-.f64 (.f64 y.re x.re) (*.f64 (pow.f64 y.re #s(literal 2 binary64)) (/.f64 x.im y.im))) y.im)) y.im)
▶	54.5%	(/.f64 (+.f64 (.f64 x.re y.re) (pow.f64 (cbrt.f64 (.f64 x.im y.im)) #s(literal 3 binary64))) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
✓	54.7%	(/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
	48.3%	(/.f64 (+.f64 x.re (/.f64 (*.f64 y.im x.im) y.re)) y.re)
	49.0%	(/.f64 (+.f64 x.im (/.f64 (-.f64 (.f64 y.re x.re) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (/.f64 x.im y.im))) y.im)) y.im)
▶	53.9%	(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
	55.7%	(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
	39.6%	(/.f64 x.re y.re)
▶	46.6%	(/.f64 x.im y.im)
▶	44.5%	(+.f64 (/.f64 x.re y.re) (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
	54.3%	(.f64 (fma.f64 x.re y.re (.f64 x.im y.im)) (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
	71.9%	(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re y.re (.f64 x.im y.im))) #s(literal 2 binary64)) (hypot.f64 y.re y.im)) (/.f64 (cbrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) (hypot.f64 y.re y.im)))
▶	72.7%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (.f64 x.im y.im)) (hypot.f64 y.re y.im)))
	39.1%	(*.f64 y.im (/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))

Compiler

Compiled 517 to 315 computations (39.1% saved)

simplify76.0ms (0.6%)

Memory

22.8MiB live, 59.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(cbrt.f64 (*.f64 x.im y.im))
	cost-diff	0	(*.f64 x.re y.re)
✓	cost-diff	6592	(+.f64 (.f64 x.re y.re) (pow.f64 (cbrt.f64 (.f64 x.im y.im)) #s(literal 3 binary64)))
✓	cost-diff	12864	(pow.f64 (cbrt.f64 (*.f64 x.im y.im)) #s(literal 3 binary64))
✓	cost-diff	0	(/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))
✓	cost-diff	0	(*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))))
✓	cost-diff	0	(/.f64 x.re y.re)
✓	cost-diff	192	(+.f64 (/.f64 x.re y.re) (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
✓	cost-diff	-6272	(+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im))
✓	cost-diff	-6272	(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
	cost-diff	0	(*.f64 x.re y.re)
✓	cost-diff	0	(/.f64 (*.f64 x.re y.re) y.im)
✓	cost-diff	0	(/.f64 x.im y.im)
✓	cost-diff	0	(/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))
✓	cost-diff	0	(hypot.f64 y.re y.im)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
✓	cost-diff	192	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (.f64 x.im y.im)) (hypot.f64 y.re y.im)))

Rules

212×	`times-frac`
202×	`fma-define`
184×	`associate-r`
119×	`associate-l`
106×	`associate-*r/`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	39	698
1	68	671
2	114	671
3	253	657
4	493	657
5	700	657
6	918	657
7	1116	651
8	1186	651
9	1285	651
10	1371	651
11	1384	651
12	1384	651

Stop Event

1×

saturated

Calls

Call 1

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

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

localize115.0ms (0.9%)

Memory

-19.1MiB live, 219.2MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.3%	(+.f64 (.f64 x.re y.re) (pow.f64 (cbrt.f64 (.f64 x.im y.im)) #s(literal 3 binary64)))
✓	accuracy	99.1%	(pow.f64 (cbrt.f64 (*.f64 x.im y.im)) #s(literal 3 binary64))
✓	accuracy	76.1%	(cbrt.f64 (*.f64 x.im y.im))
✓	accuracy	55.2%	(/.f64 (+.f64 (.f64 x.re y.re) (pow.f64 (cbrt.f64 (.f64 x.im y.im)) #s(literal 3 binary64))) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
✓	accuracy	100.0%	(/.f64 x.re y.re)
✓	accuracy	95.6%	(+.f64 (/.f64 x.re y.re) (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
✓	accuracy	92.3%	(/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))
✓	accuracy	87.6%	(*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64))))
	accuracy	100.0%	(*.f64 x.re y.re)
✓	accuracy	100.0%	(+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im))
✓	accuracy	99.5%	(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
✓	accuracy	92.7%	(/.f64 (*.f64 x.re y.re) y.im)
✓	accuracy	100.0%	(/.f64 x.im 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 (fma.f64 x.re y.re (.f64 x.im y.im)) (hypot.f64 y.re y.im)))
	accuracy	99.6%	(fma.f64 x.re y.re (*.f64 x.im y.im))
✓	accuracy	73.8%	(/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))

Samples

76.0ms

256×

valid

Compiler

Compiled 179 to 32 computations (82.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-div: 13.0ms (26% of total)

ival-mult: 12.0ms (24% of total)

ival-pow: 7.0ms (14% of total)

ival-pow2: 7.0ms (14% of total)

ival-add: 5.0ms (10% of total)

ival-hypot: 5.0ms (10% of total)

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

...in/eval/compile.rkt:110:19: 0.0ms (0% of total)

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

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

series84.0ms (0.7%)

Memory

-1.3MiB live, 234.4MiB allocated

Counts

16 → 434

Calls

Call 1

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

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

Calls

144 calls:

Time	Variable		Point	Expression
7.0ms	y.im	@	-inf	(cbrt (* x.im y.im))
3.0ms	y.im	@	-inf	(pow (cbrt (* x.im y.im)) 3)
3.0ms	y.im	@	0	(+ (/ x.re y.re) (* x.im (/ y.im (pow y.re 2))))
3.0ms	x.im	@	-inf	(pow (cbrt (* x.im y.im)) 3)
3.0ms	y.re	@	inf	(sqrt (+ (* y.re y.re) (* y.im y.im)))

rewrite160.0ms (1.2%)

Memory

18.5MiB live, 181.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

263×	`log1p-expm1-u`
263×	`expm1-log1p-u`
256×	`add-cube-cbrt`
253×	`add-exp-log`
253×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	458
1	632	436

Stop Event

1×	node limit

Counts

16 → 509

Calls

Call 1

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

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

simplify417.0ms (3.2%)

Memory

3.6MiB live, 558.3MiB allocated

Algorithm

1×	egg-herbie

Rules

745×	`fma-define`
416×	`*-commutative`
365×	`distribute-lft-in`
240×	`distribute-rgt-neg-in`
212×	`distribute-lft-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1566	43300
1	4199	41468

Stop Event

1×	node limit

Counts

943 → 1 000

Calls

Call 1

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

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

eval147.0ms (1.1%)

Memory: 2.8MiB live, 268.3MiB allocated
Compiler: Compiled 25 260 to 3 852 computations (84.8% saved)

prune323.0ms (2.5%)

Memory

28.3MiB live, 387.6MiB allocated

Pruning

23 alts after pruning (21 fresh and 2 done)

	Pruned	Kept	Total
New	1 160	18	1 178
Fresh	7	3	10
Picked	4	1	5
Done	0	1	1
Total	1 171	23	1 194

Accuracy

100.0%

Counts

1 194 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	40.1%	(/.f64 (/.f64 (+.f64 (.f64 x.im y.im) (.f64 x.re y.re)) y.im) y.im)
	18.2%	(/.f64 (/.f64 (*.f64 x.re y.re) y.im) y.im)
	18.1%	(/.f64 (+.f64 (.f64 (.f64 y.im x.im) y.re) (*.f64 (pow.f64 y.re #s(literal 2 binary64)) x.re)) (pow.f64 y.re #s(literal 3 binary64)))
✓	54.7%	(/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
	48.3%	(/.f64 (+.f64 x.re (/.f64 (*.f64 y.im x.im) y.re)) y.re)
	50.3%	(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
	49.0%	(/.f64 (+.f64 x.im (/.f64 (-.f64 (.f64 y.re x.re) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (/.f64 x.im y.im))) y.im)) y.im)
	20.0%	(/.f64 (*.f64 x.re (/.f64 y.re y.im)) y.im)
	35.7%	(/.f64 (.f64 x.re y.re) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
▶	39.6%	(/.f64 x.re y.re)
✓	46.6%	(/.f64 x.im y.im)
▶	55.5%	(/.f64 #s(literal 1 binary64) (/.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im)))
	72.5%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (.f64 y.im x.im))) (hypot.f64 y.re y.im)))
	45.0%	(+.f64 (/.f64 x.re y.re) (*.f64 (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) y.im))
▶	45.5%	(+.f64 (/.f64 x.re y.re) (*.f64 x.im (/.f64 (/.f64 y.im y.re) y.re)))
	44.1%	(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 y.re x.re)) (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
	55.5%	(*.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) (/.f64 #s(literal 1 binary64) y.im))
▶	72.6%	(.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64)) (/.f64 (/.f64 (fma.f64 y.re x.re (.f64 y.im x.im)) (hypot.f64 y.re y.im)) (sqrt.f64 (hypot.f64 y.re y.im))))
	72.5%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (.f64 x.im y.im)) (pow.f64 (sqrt.f64 (hypot.f64 y.re y.im)) #s(literal 2 binary64))))
	64.8%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (.f64 y.re (+.f64 x.re (/.f64 (*.f64 y.im x.im) y.re))) (hypot.f64 y.re y.im)))
▶	49.0%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (.f64 y.im x.im) (hypot.f64 y.re y.im)))
	30.3%	(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (neg.f64 x.im))
	37.2%	(*.f64 x.re (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))

Compiler

Compiled 692 to 430 computations (37.9% saved)

simplify122.0ms (0.9%)

Memory

-32.5MiB live, 90.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

391×	`times-frac`
333×	`fma-define`
224×	`associate-l`
202×	`associate-r`
164×	`associate-*r/`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	35	753
1	68	743
2	121	737
3	263	733
4	514	733
5	784	733
6	1065	733
7	1571	724
8	2128	724
9	2235	724
10	2247	724
11	2247	724
12	2247	724

Stop Event

1×

saturated

Calls

Call 1

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

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

localize376.0ms (2.9%)

Memory

3.3MiB live, 161.2MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y.im x.im)
	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
✓	accuracy	99.2%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (.f64 y.im x.im) (hypot.f64 y.re y.im)))
✓	accuracy	83.5%	(/.f64 (*.f64 y.im x.im) (hypot.f64 y.re y.im))
✓	accuracy	100.0%	(/.f64 y.re y.im)
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im)))
✓	accuracy	99.3%	(/.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im))
✓	accuracy	93.8%	(fma.f64 x.re (/.f64 y.re y.im) x.im)
	accuracy	100.0%	(/.f64 x.re y.re)
✓	accuracy	99.9%	(/.f64 (/.f64 y.im y.re) y.re)
✓	accuracy	95.6%	(+.f64 (/.f64 x.re y.re) (*.f64 x.im (/.f64 (/.f64 y.im y.re) y.re)))
✓	accuracy	87.6%	(*.f64 x.im (/.f64 (/.f64 y.im y.re) y.re))
	accuracy	100.0%	(/.f64 x.re y.re)
✓	accuracy	99.6%	(fma.f64 y.re x.re (*.f64 y.im x.im))
✓	accuracy	99.6%	(/.f64 (/.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)) (hypot.f64 y.re y.im)) (sqrt.f64 (hypot.f64 y.re y.im)))
✓	accuracy	99.5%	(.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64)) (/.f64 (/.f64 (fma.f64 y.re x.re (.f64 y.im x.im)) (hypot.f64 y.re y.im)) (sqrt.f64 (hypot.f64 y.re y.im))))
✓	accuracy	73.8%	(/.f64 (fma.f64 y.re x.re (*.f64 y.im x.im)) (hypot.f64 y.re y.im))

Samples

60.0ms

256×

valid

Compiler

Compiled 179 to 30 computations (83.2% saved)

Precisions

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

ival-div: 17.0ms (40.9% of total)

ival-mult: 10.0ms (24.1% of total)

ival-hypot: 5.0ms (12% of total)

ival-pow: 5.0ms (12% of total)

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

ival-sqrt: 2.0ms (4.8% of total)

...in/eval/compile.rkt:110:19: 0.0ms (0% of total)

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

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

series189.0ms (1.5%)

Memory

-6.1MiB live, 150.8MiB allocated

Counts

16 → 564

Calls

Call 1

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

Outputs
#<alt (/.f64 x.im y.im)>
#<alt (+.f64 (/.f64 x.im y.im) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 2 binary64))))>
#<alt (+.f64 (.f64 y.re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.re) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 x.im y.im))>
#<alt (+.f64 (.f64 y.re (+.f64 (.f64 y.re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x.im (pow.f64 y.im #s(literal 3 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) (pow.f64 y.im #s(literal 4 binary64)))))) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 x.im y.im))>
#<alt (/.f64 x.re y.re)>
#<alt (/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)>
#<alt (/.f64 (+.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) y.re))) y.re)>
#<alt (/.f64 (+.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (*.f64 x.im y.im) y.re)))) y.re)>
#<alt (/.f64 x.re y.re)>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.im) y.re))) y.re))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) y.re)) (.f64 x.im y.im)) y.re))) y.re))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 3 binary64))) y.re)) y.re)) (*.f64 x.im y.im)) y.re))) y.re))>
#<alt (/.f64 x.re y.re)>
#<alt (+.f64 (/.f64 x.re y.re) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (+.f64 (.f64 y.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.im) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 x.re y.re))>
#<alt (+.f64 (.f64 y.im (+.f64 (.f64 y.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.re #s(literal 3 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 4 binary64)))))) (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 x.re y.re))>
#<alt (/.f64 x.im y.im)>
#<alt (/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)>
#<alt (/.f64 (+.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 (*.f64 x.re y.re) y.im))) y.im)>
#<alt (/.f64 (+.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 (*.f64 x.re y.re) y.im)))) y.im)>
#<alt (/.f64 x.im y.im)>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.im) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.re) y.im))) y.im))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.im) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) y.im)) (.f64 x.re y.re)) y.im))) y.im))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.im) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 (.f64 x.re (pow.f64 y.re #s(literal 3 binary64))) y.im)) y.im)) (*.f64 x.re y.re)) y.im))) y.im))>
#<alt (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 (.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (+.f64 (/.f64 (.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (+.f64 (/.f64 (.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (.f64 x.re (+.f64 (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (.f64 x.re (+.f64 (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (.f64 x.re (+.f64 (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (.f64 x.im y.im) (*.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.im) (.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.im) (.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.im) (.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))))>
#<alt (/.f64 (*.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 (.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (+.f64 (/.f64 (.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (+.f64 (/.f64 (.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (.f64 x.im (+.f64 (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (.f64 x.re y.re) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (.f64 x.im (+.f64 (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (.f64 x.re y.re) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (.f64 x.im (+.f64 (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (.f64 x.re y.re) (*.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (/.f64 (*.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.re) (.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.re) (.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.re) (.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))))))))>
#<alt (*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y.im)))>
#<alt (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 5 binary64)))) (pow.f64 y.re #s(literal 2 binary64))))) (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y.im))))>
#<alt (+.f64 (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y.im))) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 5 binary64)))))) (.f64 #s(literal 5/32 binary64) (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 9 binary64)))) (pow.f64 y.re #s(literal 2 binary64))))))))>
#<alt (+.f64 (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y.im))) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 5 binary64)))))) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -15/128 binary64) (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 13 binary64)))) (pow.f64 y.re #s(literal 2 binary64))))) (.f64 #s(literal 5/32 binary64) (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y.im #s(literal 9 binary64)))))))))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) y.re))>
#<alt (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y.re)) (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 y.im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 5 binary64)))))))>
#<alt (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y.re)) (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 y.im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 5 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 9 binary64)))) (+.f64 (.f64 #s(literal 1/96 binary64) (+.f64 (.f64 #s(literal -12 binary64) (pow.f64 y.im #s(literal 4 binary64))) (.f64 #s(literal 24 binary64) (pow.f64 y.im #s(literal 4 binary64))))) (*.f64 #s(literal 1/32 binary64) (pow.f64 y.im #s(literal 4 binary64)))))))>
#<alt (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y.re)) (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 y.im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 5 binary64)))))) (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 9 binary64)))) (+.f64 (.f64 #s(literal 1/96 binary64) (+.f64 (.f64 #s(literal -12 binary64) (pow.f64 y.im #s(literal 4 binary64))) (.f64 #s(literal 24 binary64) (pow.f64 y.im #s(literal 4 binary64))))) (.f64 #s(literal 1/32 binary64) (pow.f64 y.im #s(literal 4 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y.re #s(literal 13 binary64)))) (+.f64 (.f64 #s(literal -1/384 binary64) (.f64 (pow.f64 y.im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -12 binary64) (pow.f64 y.im #s(literal 4 binary64))) (.f64 #s(literal 24 binary64) (pow.f64 y.im #s(literal 4 binary64)))))) (+.f64 (.f64 #s(literal -1/384 binary64) (pow.f64 y.im #s(literal 6 binary64))) (.f64 #s(literal 1/2880 binary64) (+.f64 (.f64 #s(literal -720 binary64) (pow.f64 y.im #s(literal 6 binary64))) (+.f64 (.f64 #s(literal -240 binary64) (pow.f64 y.im #s(literal 6 binary64))) (*.f64 #s(literal 720 binary64) (pow.f64 y.im #s(literal 6 binary64))))))))))))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y.re)) (sqrt.f64 #s(literal -1 binary64)))>
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#<alt (*.f64 #s(literal -1 binary64) x.re)>
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#<alt (*.f64 #s(literal -1 binary64) x.im)>
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#<alt (.f64 x.im (+.f64 y.im (/.f64 (.f64 x.re y.re) x.im)))>
#<alt (*.f64 x.im y.im)>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) y.im) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) x.im)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) y.im) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) x.im)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) y.im) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re y.re) x.im)))))>
#<alt (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (+.f64 (/.f64 x.re y.re) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 x.re y.re) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 x.re y.re) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.f64 x.re y.re)>
#<alt (.f64 x.re (+.f64 (/.f64 #s(literal 1 binary64) y.re) (/.f64 (.f64 x.im y.im) (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (.f64 x.re (+.f64 (/.f64 #s(literal 1 binary64) y.re) (/.f64 (.f64 x.im y.im) (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (.f64 x.re (+.f64 (/.f64 #s(literal 1 binary64) y.re) (/.f64 (.f64 x.im y.im) (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))))>
#<alt (/.f64 x.re y.re)>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.re (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.im) (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y.re))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.re (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.im) (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y.re))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.re (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.im) (*.f64 x.re (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y.re))))>
#<alt (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (.f64 x.im y.im) (.f64 x.re y.re)) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (.f64 x.im y.im) (.f64 x.re y.re)) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (.f64 x.im y.im) (.f64 x.re y.re)) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (/.f64 x.re y.re)>
#<alt (/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)>
#<alt (/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)>
#<alt (/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)>
#<alt (/.f64 x.re y.re)>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.im) y.re))) y.re))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.im) y.re))) y.re))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.im) y.re))) y.re))>
#<alt (/.f64 x.re y.re)>
#<alt (+.f64 (/.f64 x.re y.re) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 x.re y.re) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 x.re y.re) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (.f64 x.im (+.f64 (/.f64 x.re (.f64 x.im y.re)) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (.f64 x.im (+.f64 (/.f64 x.re (.f64 x.im y.re)) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (.f64 x.im (+.f64 (/.f64 x.re (.f64 x.im y.re)) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))>
#<alt (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x.re (.f64 x.im y.re))) (*.f64 #s(literal -1 binary64) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x.re (.f64 x.im y.re))) (*.f64 #s(literal -1 binary64) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x.re (.f64 x.im y.re))) (*.f64 #s(literal -1 binary64) (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))))>
#<alt (/.f64 x.re y.re)>
#<alt (+.f64 (/.f64 x.re y.re) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 x.re y.re) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (+.f64 (/.f64 x.re y.re) (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))))>
#<alt (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (.f64 y.im (+.f64 (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re (.f64 y.im y.re))))>
#<alt (.f64 y.im (+.f64 (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re (.f64 y.im y.re))))>
#<alt (.f64 y.im (+.f64 (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (/.f64 x.re (.f64 y.im y.re))))>
#<alt (/.f64 (*.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 x.re (*.f64 y.im y.re))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 x.re (*.f64 y.im y.re))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 x.re (*.f64 y.im y.re))))))>
#<alt (*.f64 x.im y.im)>
#<alt (*.f64 x.im y.im)>
#<alt (*.f64 x.im y.im)>
#<alt (*.f64 x.im y.im)>
#<alt (*.f64 x.im y.im)>
#<alt (*.f64 x.im y.im)>
#<alt (*.f64 x.im y.im)>
#<alt (*.f64 x.im y.im)>
#<alt (*.f64 x.im y.im)>
#<alt (*.f64 x.im y.im)>
#<alt (*.f64 x.im y.im)>
#<alt (*.f64 x.im y.im)>
#<alt (*.f64 x.im y.im)>
#<alt (*.f64 x.im y.im)>
#<alt (*.f64 x.im y.im)>
#<alt (*.f64 x.im y.im)>
#<alt (*.f64 x.im y.im)>
#<alt (*.f64 x.im y.im)>
#<alt (*.f64 x.im y.im)>
#<alt (*.f64 x.im y.im)>
#<alt (*.f64 x.im y.im)>
#<alt (*.f64 x.im y.im)>
#<alt (*.f64 x.im y.im)>
#<alt (*.f64 x.im y.im)>

Calls

153 calls:

Time	Variable		Point	Expression
85.0ms	y.re	@	inf	(/ (* y.im x.im) (sqrt (+ (* y.re y.re) (* y.im y.im))))
11.0ms	y.re	@	inf	(/ y.im (+ (* x.re (/ y.re y.im)) x.im))
7.0ms	x.re	@	0	(/ (/ (+ (* y.re x.re) (* y.im x.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
6.0ms	y.im	@	-inf	(pow (sqrt (+ (* y.re y.re) (* y.im y.im))) -1/2)
2.0ms	x.im	@	0	(/ (/ (+ (* y.re x.re) (* y.im x.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))

rewrite216.0ms (1.7%)

Memory

1.9MiB live, 259.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

255×	`log1p-expm1-u`
255×	`expm1-log1p-u`
252×	`add-exp-log`
252×	`add-cube-cbrt`
251×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	575
1	572	506

Stop Event

1×	node limit

Counts

16 → 511

Calls

Call 1

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

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

simplify702.0ms (5.4%)

Memory

32.0MiB live, 977.4MiB allocated

Algorithm

1×	egg-herbie

Rules

750×	`*-commutative`
300×	`+-commutative`
283×	`mul-1-neg`
280×	`associate-*r/`
275×	`neg-sub0`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	2193	56750
1	6628	55118

Stop Event

1×	node limit

Counts

1 075 → 1 236

Calls

Call 1

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

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

eval648.0ms (5%)

Memory: 14.1MiB live, 432.9MiB allocated
Compiler: Compiled 47 084 to 6 691 computations (85.8% saved)

prune779.0ms (6%)

Memory

-160.0MiB live, 556.5MiB allocated

Pruning

24 alts after pruning (20 fresh and 4 done)

	Pruned	Kept	Total
New	1 812	10	1 822
Fresh	6	10	16
Picked	3	2	5
Done	0	2	2
Total	1 821	24	1 845

Accuracy

100.0%

Counts

1 845 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	40.1%	(/.f64 (/.f64 (+.f64 (.f64 x.im y.im) (.f64 x.re y.re)) y.im) y.im)
	18.2%	(/.f64 (/.f64 (*.f64 x.re y.re) y.im) y.im)
	49.0%	(/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (hypot.f64 y.re y.im) (*.f64 y.im x.im)))
✓	54.7%	(/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
	48.3%	(/.f64 (+.f64 x.re (/.f64 (*.f64 y.im x.im) y.re)) y.re)
	50.3%	(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
	49.0%	(/.f64 (+.f64 x.im (/.f64 (-.f64 (.f64 y.re x.re) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (/.f64 x.im y.im))) y.im)) y.im)
▶	64.0%	(/.f64 (*.f64 y.im (/.f64 x.im (hypot.f64 y.re y.im))) (hypot.f64 y.re y.im))
	20.0%	(/.f64 (*.f64 x.re (/.f64 y.re y.im)) y.im)
	35.7%	(/.f64 (.f64 x.re y.re) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
✓	39.6%	(/.f64 x.re y.re)
✓	46.6%	(/.f64 x.im y.im)
	39.3%	(/.f64 #s(literal 1 binary64) (/.f64 y.re x.re))
▶	18.2%	(/.f64 #s(literal 1 binary64) (/.f64 y.im (/.f64 (*.f64 x.re y.re) y.im)))
	49.4%	(+.f64 (/.f64 x.re y.re) (/.f64 #s(literal 1 binary64) (/.f64 y.re (/.f64 x.im (/.f64 y.re y.im)))))
	49.5%	(+.f64 (/.f64 x.re y.re) (.f64 (/.f64 #s(literal 1 binary64) y.re) (.f64 (/.f64 x.im y.re) y.im)))
✓	45.5%	(+.f64 (/.f64 x.re y.re) (*.f64 x.im (/.f64 (/.f64 y.im y.re) y.re)))
	45.2%	(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 y.re x.re)) (*.f64 x.im (/.f64 (/.f64 y.im y.re) y.re)))
	55.5%	(*.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) (/.f64 #s(literal 1 binary64) y.im))
	31.6%	(.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64)) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.im) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.re) y.im))) (sqrt.f64 (hypot.f64 y.re y.im))))
	63.1%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (pow.f64 (cbrt.f64 (.f64 y.im (/.f64 x.im (hypot.f64 y.re y.im)))) #s(literal 3 binary64)))
▶	30.3%	(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (neg.f64 x.im))
	37.2%	(*.f64 x.re (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
▶	39.6%	(*.f64 x.re (/.f64 #s(literal 1 binary64) y.re))

Compiler

Compiled 644 to 412 computations (36% saved)

simplify119.0ms (0.9%)

Memory

-0.6MiB live, 42.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(neg.f64 x.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	128	(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (neg.f64 x.im))
✓	cost-diff	-6144	(/.f64 (+.f64 (.f64 x.im y.im) (.f64 x.re y.re)) y.im)
✓	cost-diff	-6144	(/.f64 (/.f64 (+.f64 (.f64 x.im y.im) (.f64 x.re y.re)) y.im) y.im)
	cost-diff	0	(*.f64 x.re y.re)
	cost-diff	0	(*.f64 x.im y.im)
	cost-diff	0	(*.f64 x.re y.re)
	cost-diff	0	(/.f64 (*.f64 x.re y.re) y.im)
✓	cost-diff	0	(/.f64 y.im (/.f64 (*.f64 x.re y.re) y.im))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 y.im (/.f64 (*.f64 x.re y.re) y.im)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y.re)
✓	cost-diff	128	(*.f64 x.re (/.f64 #s(literal 1 binary64) y.re))
	cost-diff	0	(hypot.f64 y.re y.im)
✓	cost-diff	0	(/.f64 x.im (hypot.f64 y.re y.im))
✓	cost-diff	0	(*.f64 y.im (/.f64 x.im (hypot.f64 y.re y.im)))
✓	cost-diff	6528	(/.f64 (*.f64 y.im (/.f64 x.im (hypot.f64 y.re y.im))) (hypot.f64 y.re y.im))

Rules

1 143×	`fmm-def`
541×	`fma-define`
460×	`div-sub`
411×	`times-frac`
268×	`neg-mul-1`

Iterations

Useful iterations: 11 (0.0ms)

Iter	Nodes	Cost
0	30	516
1	67	504
2	120	494
3	248	494
4	426	494
5	572	494
6	780	494
7	1278	494
8	1487	494
9	1777	476
10	2010	471
11	2710	467
12	4202	467
13	6529	467

Stop Event

1×	node limit

Calls

Call 1

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

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

localize295.0ms (2.3%)

Memory

-21.3MiB live, 172.0MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(hypot.f64 y.re y.im)
✓	accuracy	100.0%	(neg.f64 x.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)) (neg.f64 x.im))
	accuracy	100.0%	(*.f64 x.im y.im)
✓	accuracy	99.5%	(/.f64 (/.f64 (+.f64 (.f64 x.im y.im) (.f64 x.re y.re)) y.im) y.im)
✓	accuracy	99.3%	(+.f64 (.f64 x.im y.im) (.f64 x.re y.re))
✓	accuracy	81.5%	(/.f64 (+.f64 (.f64 x.im y.im) (.f64 x.re y.re)) y.im)
	accuracy	100.0%	(*.f64 x.re y.re)
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 y.im (/.f64 (*.f64 x.re y.re) y.im)))
✓	accuracy	99.2%	(/.f64 y.im (/.f64 (*.f64 x.re y.re) y.im))
	accuracy	92.7%	(/.f64 (*.f64 x.re y.re) y.im)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y.re)
✓	accuracy	99.7%	(*.f64 x.re (/.f64 #s(literal 1 binary64) y.re))
	accuracy	100.0%	(hypot.f64 y.re y.im)
✓	accuracy	100.0%	(/.f64 x.im (hypot.f64 y.re y.im))
✓	accuracy	99.3%	(/.f64 (*.f64 y.im (/.f64 x.im (hypot.f64 y.re y.im))) (hypot.f64 y.re y.im))
✓	accuracy	88.1%	(*.f64 y.im (/.f64 x.im (hypot.f64 y.re y.im)))

Samples

264.0ms

256×

valid

Compiler

Compiled 129 to 24 computations (81.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 247.0ms

ival-div: 229.0ms (92.6% of total)

ival-mult: 11.0ms (4.4% of total)

ival-hypot: 5.0ms (2% of total)

ival-add: 1.0ms (0.4% of total)

ival-neg: 1.0ms (0.4% of total)

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

...in/eval/compile.rkt:110:19: 0.0ms (0% of total)

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

series250.0ms (1.9%)

Memory

18.5MiB live, 91.3MiB allocated

Counts

12 → 381

Calls

Call 1

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

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

Calls

102 calls:

Time	Variable		Point	Expression
2.0ms	y.re	@	0	(/ y.im (/ (* x.re y.re) y.im))
1.0ms	y.re	@	inf	(* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (neg x.im))
1.0ms	y.re	@	inf	(/ x.im (sqrt (+ (* y.re y.re) (* y.im y.im))))
1.0ms	x.re	@	inf	(/ 1 (/ y.im (/ (* x.re y.re) y.im)))
1.0ms	y.im	@	0	(* (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (neg x.im))

rewrite259.0ms (2%)

Memory

14.9MiB live, 225.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

475×	`log1p-expm1-u`
222×	`expm1-log1p-u`
220×	`add-exp-log`
220×	`add-log-exp`
220×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	331
1	500	300
2	7583	300

Stop Event

1×	node limit

Counts

12 → 459

Calls

Call 1

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

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

simplify587.0ms (4.6%)

Memory

-12.2MiB live, 574.3MiB allocated

Algorithm

1×	egg-herbie

Rules

618×	`fma-define`
459×	`times-frac`
368×	`distribute-rgt-in`
361×	`distribute-lft-in`
339×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1276	34416
1	3297	32781

Stop Event

1×	node limit

Counts

840 → 889

Calls

Call 1

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

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

eval293.0ms (2.3%)

Memory: 31.7MiB live, 348.2MiB allocated
Compiler: Compiled 25 296 to 4 054 computations (84% saved)

prune496.0ms (3.8%)

Memory

-30.4MiB live, 493.2MiB allocated

Pruning

29 alts after pruning (22 fresh and 7 done)

	Pruned	Kept	Total
New	1 299	10	1 309
Fresh	3	12	15
Picked	2	3	5
Done	0	4	4
Total	1 304	29	1 333

Accuracy

100.0%

Counts

1 333 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.1%	(/.f64 (pow.f64 (cbrt.f64 (*.f64 y.im (/.f64 x.im (hypot.f64 y.re y.im)))) #s(literal 3 binary64)) (hypot.f64 y.re y.im))
	32.1%	(/.f64 (/.f64 (.f64 y.re (+.f64 x.re (/.f64 (.f64 x.im y.im) y.re))) y.im) y.im)
	18.2%	(/.f64 (/.f64 (*.f64 y.re x.re) y.im) y.im)
	35.4%	(/.f64 (/.f64 (*.f64 x.im y.im) y.im) y.im)
	49.0%	(/.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (hypot.f64 y.re y.im) (*.f64 y.im x.im)))
✓	54.7%	(/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
	48.3%	(/.f64 (+.f64 x.re (/.f64 (*.f64 y.im x.im) y.re)) y.re)
	50.3%	(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
	49.0%	(/.f64 (+.f64 x.im (/.f64 (-.f64 (.f64 y.re x.re) (.f64 (pow.f64 y.re #s(literal 2 binary64)) (/.f64 x.im y.im))) y.im)) y.im)
✓	64.0%	(/.f64 (*.f64 y.im (/.f64 x.im (hypot.f64 y.re y.im))) (hypot.f64 y.re y.im))
	20.0%	(/.f64 (*.f64 x.re (/.f64 y.re y.im)) y.im)
	35.7%	(/.f64 (.f64 x.re y.re) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
	30.4%	(/.f64 (neg.f64 x.im) (hypot.f64 y.re y.im))
✓	39.6%	(/.f64 x.re y.re)
✓	46.6%	(/.f64 x.im y.im)
	39.3%	(/.f64 #s(literal 1 binary64) (/.f64 y.re x.re))
✓	18.2%	(/.f64 #s(literal 1 binary64) (/.f64 y.im (/.f64 (*.f64 x.re y.re) y.im)))
	49.4%	(+.f64 (/.f64 x.re y.re) (/.f64 #s(literal 1 binary64) (/.f64 y.re (/.f64 x.im (/.f64 y.re y.im)))))
	49.5%	(+.f64 (/.f64 x.re y.re) (.f64 (/.f64 #s(literal 1 binary64) y.re) (.f64 (/.f64 x.im y.re) y.im)))
✓	45.5%	(+.f64 (/.f64 x.re y.re) (*.f64 x.im (/.f64 (/.f64 y.im y.re) y.re)))
	45.2%	(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 y.re x.re)) (*.f64 x.im (/.f64 (/.f64 y.im y.re) y.re)))
	31.6%	(.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -1/2 binary64)) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.im) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.re) y.im))) (sqrt.f64 (hypot.f64 y.re y.im))))
	9.0%	(*.f64 (/.f64 #s(literal 1 binary64) y.re) (neg.f64 x.im))
	20.2%	(.f64 (/.f64 #s(literal 1 binary64) y.im) (.f64 y.re (/.f64 x.re y.im)))
	9.7%	(*.f64 (/.f64 #s(literal 1 binary64) y.im) (neg.f64 x.im))
	8.3%	(*.f64 (/.f64 #s(literal -1 binary64) y.re) (neg.f64 x.im))
	18.1%	(*.f64 x.re (/.f64 (/.f64 y.re y.im) y.im))
	37.2%	(*.f64 x.re (/.f64 y.re (pow.f64 (hypot.f64 y.im y.re) #s(literal 2 binary64))))
✓	39.6%	(*.f64 x.re (/.f64 #s(literal 1 binary64) y.re))

Compiler

Compiled 1 037 to 424 computations (59.1% saved)

regimes85.0ms (0.7%)

Memory

26.3MiB live, 185.6MiB allocated

Counts

55 → 2

Calls

Call 1

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

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

Calls

5 calls:

17.0ms	y.im
17.0ms	(/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
16.0ms	x.im
16.0ms	y.re
15.0ms	x.re

Results

Accuracy	Segments	Branch
83.2%	5	`x.re`
84.8%	4	`x.im`
87.9%	5	`y.re`
87.8%	4	`y.im`
86.8%	2	`(/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))`

Compiler

Compiled 39 to 27 computations (30.8% saved)

regimes353.0ms (2.7%)

Memory

0.9MiB live, 78.3MiB allocated

Counts

46 → 4

Calls

Call 1

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

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

Calls

3 calls:

323.0ms	(/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
14.0ms	y.im
12.0ms	y.re

Results

Accuracy	Segments	Branch
86.7%	5	`y.re`
86.0%	4	`y.im`
80.5%	3	`(/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))`

Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes56.0ms (0.4%)

Memory

-10.9MiB live, 27.0MiB allocated

Counts

43 → 4

Calls

Call 1

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

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

Calls

1 calls:

53.0ms

y.im

Results

Accuracy	Segments	Branch
85.9%	4	`y.im`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes17.0ms (0.1%)

Memory

-15.4MiB live, 25.7MiB allocated

Counts

37 → 4

Calls

Call 1

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

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

Calls

1 calls:

15.0ms

y.im

Results

Accuracy	Segments	Branch
85.4%	4	`y.im`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes17.0ms (0.1%)

Memory

29.0MiB live, 29.0MiB allocated

Counts

25 → 3

Calls

Call 1

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

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

Calls

2 calls:

8.0ms	y.im
7.0ms	y.re

Results

Accuracy	Segments	Branch
79.9%	3	`y.re`
83.5%	3	`y.im`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes14.0ms (0.1%)

Memory

-27.6MiB live, 9.4MiB allocated

Counts

17 → 3

Calls

Call 1

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

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

Calls

1 calls:

13.0ms

y.im

Results

Accuracy	Segments	Branch
83.3%	3	`y.im`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes22.0ms (0.2%)

Memory

27.0MiB live, 27.0MiB allocated

Counts

16 → 3

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
73.7%	3	`y.re`
59.5%	3	`x.re`
60.1%	3	`x.im`
75.5%	3	`y.im`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes49.0ms (0.4%)

Memory

-13.7MiB live, 25.2MiB allocated

Counts

14 → 3

Calls

Call 1

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

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

Calls

2 calls:

44.0ms	y.im
4.0ms	y.re

Results

Accuracy	Segments	Branch
68.2%	3	`y.re`
70.3%	3	`y.im`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes6.0ms (0%)

Memory

17.0MiB live, 16.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
46.6%	1	`x.re`
46.6%	1	`x.im`
46.6%	1	`y.re`
46.6%	1	`y.im`

Compiler

Compiled 20 to 16 computations (20% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.108905515154066e+257	+inf

Compiler

Compiled 22 to 18 computations (18.2% saved)

bsearch202.0ms (1.6%)

Memory

2.4MiB live, 82.4MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
16.0ms	5.136376877392177e+110	1.0003541570273882e+124
171.0ms	1.1062900978110186e-248	3.652494843059897e-228
10.0ms	-1.0985716903323714e+31	-4.373583194898282e+30

Samples

30.0ms

416×

valid

Compiler

Compiled 970 to 591 computations (39.1% saved)

Precisions

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

ival-mult: 11.0ms (57.5% of total)

ival-div: 5.0ms (26.1% of total)

ival-add: 3.0ms (15.7% of total)

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

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

bsearch202.0ms (1.6%)

Memory

-21.1MiB live, 91.5MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
167.0ms	3.933824475054198e+66	5.736897794229793e+69
18.0ms	3.3145231130251375e-167	2.560870741977504e-150
8.0ms	-1.0985716903323714e+31	-4.373583194898282e+30

Samples

181.0ms

368×

valid

Compiler

Compiled 784 to 486 computations (38% saved)

Precisions

Click to see histograms. Total time spent on operations: 171.0ms

ival-mult: 166.0ms (96.8% of total)

ival-add: 3.0ms (1.8% of total)

ival-div: 2.0ms (1.2% of total)

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

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

bsearch98.0ms (0.8%)

Memory

-3.4MiB live, 73.3MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
12.0ms	3.933824475054198e+66	5.736897794229793e+69
28.0ms	3.3145231130251375e-167	2.560870741977504e-150
8.0ms	-1.0985716903323714e+31	-4.373583194898282e+30

Samples

25.0ms

368×

valid

Compiler

Compiled 774 to 486 computations (37.2% saved)

Precisions

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

ival-mult: 10.0ms (65.5% of total)

ival-add: 3.0ms (19.6% of total)

ival-div: 2.0ms (13.1% of total)

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

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

bsearch29.0ms (0.2%)

Memory

20.0MiB live, 54.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	3.6194793450749187e-44	9.964279946169776e-35
8.0ms	-1.0985716903323714e+31	-4.373583194898282e+30

Samples

20.0ms

224×

valid

Compiler

Compiled 414 to 270 computations (34.8% saved)

Precisions

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

ival-mult: 6.0ms (63.3% of total)

ival-add: 2.0ms (21.1% of total)

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

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

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

bsearch78.0ms (0.6%)

Memory

1.0MiB live, 38.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
68.0ms	3.6194793450749187e-44	9.964279946169776e-35
8.0ms	-1.0985716903323714e+31	-4.373583194898282e+30

Samples

68.0ms

224×

valid

Compiler

Compiled 414 to 270 computations (34.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

ival-mult: 59.0ms (94.2% of total)

ival-add: 2.0ms (3.2% of total)

ival-div: 1.0ms (1.6% of total)

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

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

bsearch32.0ms (0.2%)

Memory

8.4MiB live, 54.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	3.6194793450749187e-44	9.964279946169776e-35
8.0ms	-1.0985716903323714e+31	-4.373583194898282e+30

Samples

15.0ms

224×

valid

Compiler

Compiled 330 to 228 computations (30.9% saved)

Precisions

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

ival-mult: 6.0ms (62.8% of total)

ival-add: 2.0ms (20.9% of total)

ival-div: 1.0ms (10.5% of total)

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

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

bsearch26.0ms (0.2%)

Memory

-20.2MiB live, 58.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	3.6194793450749187e-44	9.964279946169776e-35
9.0ms	-1.0985716903323714e+31	-4.373583194898282e+30

Samples

16.0ms

224×

valid

Compiler

Compiled 246 to 186 computations (24.4% saved)

Precisions

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

ival-mult: 6.0ms (62.9% of total)

ival-add: 2.0ms (21% of total)

ival-div: 1.0ms (10.5% of total)

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

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

simplify10.0ms (0.1%)

Memory

24.8MiB live, 24.8MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	102	1262
1	135	1262

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im))) #s(literal 500000000000000028399858815829979799604946851329863158705570634583453387481338739938630653769837024826986323251694972894843288255209669564121853059236516160040645332748870782203335011856143894937367368337103568372337099891915859959202966698161742449634967552 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (.f64 x.im y.im)) (hypot.f64 y.re y.im))) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im))
(if (<=.f64 y.im #s(literal -5500000000000000250102924967936 binary64)) (/.f64 (.f64 y.im (/.f64 x.im (hypot.f64 y.re y.im))) (hypot.f64 y.re y.im)) (if (<=.f64 y.im #s(literal 8193656135122765/3414023389634485388328884116849283992138116261025744978122883999623187065762627620618973286846235796860380114223837819108295066446909114921146038298793384983600720680711175453933096082386848780661230088261573940214625662995187948181075905216512 binary64)) (/.f64 (+.f64 x.re (/.f64 (.f64 y.im x.im) y.re)) y.re) (if (<=.f64 y.im #s(literal 1200000000000000018671299355360211629121841676305273720043724696517000537397706843917982467898056937211447537041408 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (.f64 y.re (+.f64 x.re (/.f64 (.f64 y.im x.im) y.re))) (hypot.f64 y.re y.im))) (/.f64 (+.f64 x.im (.f64 x.re (/.f64 y.re y.im))) y.im))))
(if (<=.f64 y.im #s(literal -4599999999999999922584288231424 binary64)) (/.f64 (.f64 y.im (/.f64 x.im (hypot.f64 y.re y.im))) (hypot.f64 y.re y.im)) (if (<=.f64 y.im #s(literal 5472245515991235/943490606205385338060388645247067222729230305104110107094051575061406040598037213021531681294414691885367093757690961224942646157481198158140358562858174010912348831744 binary64)) (/.f64 (+.f64 x.re (/.f64 (.f64 y.im x.im) y.re)) y.re) (if (<=.f64 y.im #s(literal 5599999999999999639928273303619287527313383118865931141532415778881536 binary64)) (/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im))) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im))))
(if (<=.f64 y.im #s(literal -5799999999999999608675865985024 binary64)) (/.f64 (+.f64 x.im (.f64 x.re (/.f64 y.re y.im))) y.im) (if (<=.f64 y.im #s(literal 5736422885728743/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808 binary64)) (/.f64 (+.f64 x.re (/.f64 (.f64 y.im x.im) y.re)) y.re) (if (<=.f64 y.im #s(literal 5500000000000000015799014881938578604284302465478574850665375309234176 binary64)) (/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im))) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im))))
(if (<=.f64 y.im #s(literal -4799999999999999870266217857024 binary64)) (/.f64 (+.f64 x.im (.f64 x.re (/.f64 y.re y.im))) y.im) (if (<=.f64 y.im #s(literal 6734599544820801/93536104789177786765035829293842113257979682750464 binary64)) (/.f64 (+.f64 x.re (/.f64 (.f64 y.im x.im) y.re)) y.re) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)))
(if (<=.f64 y.im #s(literal -10499999999999998942151165607936 binary64)) (/.f64 (+.f64 x.im (.f64 x.re (/.f64 y.re y.im))) y.im) (if (<=.f64 y.im #s(literal 2244866514940267/23384026197294446691258957323460528314494920687616 binary64)) (/.f64 (+.f64 x.re (.f64 x.im (/.f64 y.im y.re))) y.re) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)))
(if (<=.f64 y.im #s(literal -4399999999999999974902358605824 binary64)) (/.f64 (+.f64 x.im (.f64 x.re (/.f64 y.re y.im))) y.im) (if (<=.f64 y.im #s(literal 725789888154085/392318858461667547739736838950479151006397215279002157056 binary64)) (/.f64 x.re y.re) (/.f64 (+.f64 x.im (.f64 x.re (/.f64 y.re y.im))) y.im)))
(if (<=.f64 y.im #s(literal -5199999999999999765630077108224 binary64)) (/.f64 x.im y.im) (if (<=.f64 y.im #s(literal 1225996432692711/3064991081731777716716694054300618367237478244367204352 binary64)) (/.f64 x.re y.re) (/.f64 x.im y.im)))
(/.f64 x.im y.im)

Outputs
(if (<=.f64 (/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im))) #s(literal 500000000000000028399858815829979799604946851329863158705570634583453387481338739938630653769837024826986323251694972894843288255209669564121853059236516160040645332748870782203335011856143894937367368337103568372337099891915859959202966698161742449634967552 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (.f64 x.im y.im)) (hypot.f64 y.re y.im))) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im))
(if (<=.f64 y.im #s(literal -5500000000000000250102924967936 binary64)) (/.f64 (.f64 y.im (/.f64 x.im (hypot.f64 y.re y.im))) (hypot.f64 y.re y.im)) (if (<=.f64 y.im #s(literal 8193656135122765/3414023389634485388328884116849283992138116261025744978122883999623187065762627620618973286846235796860380114223837819108295066446909114921146038298793384983600720680711175453933096082386848780661230088261573940214625662995187948181075905216512 binary64)) (/.f64 (+.f64 x.re (/.f64 (.f64 y.im x.im) y.re)) y.re) (if (<=.f64 y.im #s(literal 1200000000000000018671299355360211629121841676305273720043724696517000537397706843917982467898056937211447537041408 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (.f64 y.re (+.f64 x.re (/.f64 (.f64 y.im x.im) y.re))) (hypot.f64 y.re y.im))) (/.f64 (+.f64 x.im (.f64 x.re (/.f64 y.re y.im))) y.im))))
(if (<=.f64 y.im #s(literal -5500000000000000250102924967936 binary64)) (/.f64 (.f64 y.im (/.f64 x.im (hypot.f64 y.re y.im))) (hypot.f64 y.re y.im)) (if (<=.f64 y.im #s(literal 8193656135122765/3414023389634485388328884116849283992138116261025744978122883999623187065762627620618973286846235796860380114223837819108295066446909114921146038298793384983600720680711175453933096082386848780661230088261573940214625662995187948181075905216512 binary64)) (/.f64 (+.f64 x.re (/.f64 (.f64 x.im y.im) y.re)) y.re) (if (<=.f64 y.im #s(literal 1200000000000000018671299355360211629121841676305273720043724696517000537397706843917982467898056937211447537041408 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (.f64 y.re (+.f64 x.re (/.f64 (.f64 x.im y.im) y.re))) (hypot.f64 y.re y.im))) (/.f64 (+.f64 x.im (.f64 x.re (/.f64 y.re y.im))) y.im))))
(if (<=.f64 y.im #s(literal -4599999999999999922584288231424 binary64)) (/.f64 (.f64 y.im (/.f64 x.im (hypot.f64 y.re y.im))) (hypot.f64 y.re y.im)) (if (<=.f64 y.im #s(literal 5472245515991235/943490606205385338060388645247067222729230305104110107094051575061406040598037213021531681294414691885367093757690961224942646157481198158140358562858174010912348831744 binary64)) (/.f64 (+.f64 x.re (/.f64 (.f64 y.im x.im) y.re)) y.re) (if (<=.f64 y.im #s(literal 5599999999999999639928273303619287527313383118865931141532415778881536 binary64)) (/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im))) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im))))
(if (<=.f64 y.im #s(literal -4599999999999999922584288231424 binary64)) (/.f64 (.f64 y.im (/.f64 x.im (hypot.f64 y.re y.im))) (hypot.f64 y.re y.im)) (if (<=.f64 y.im #s(literal 5472245515991235/943490606205385338060388645247067222729230305104110107094051575061406040598037213021531681294414691885367093757690961224942646157481198158140358562858174010912348831744 binary64)) (/.f64 (+.f64 x.re (/.f64 (.f64 x.im y.im) y.re)) y.re) (if (<=.f64 y.im #s(literal 5599999999999999639928273303619287527313383118865931141532415778881536 binary64)) (/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im))) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im))))
(if (<=.f64 y.im #s(literal -5799999999999999608675865985024 binary64)) (/.f64 (+.f64 x.im (.f64 x.re (/.f64 y.re y.im))) y.im) (if (<=.f64 y.im #s(literal 5736422885728743/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808 binary64)) (/.f64 (+.f64 x.re (/.f64 (.f64 y.im x.im) y.re)) y.re) (if (<=.f64 y.im #s(literal 5500000000000000015799014881938578604284302465478574850665375309234176 binary64)) (/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im))) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im))))
(if (<=.f64 y.im #s(literal -5799999999999999608675865985024 binary64)) (/.f64 (+.f64 x.im (.f64 x.re (/.f64 y.re y.im))) y.im) (if (<=.f64 y.im #s(literal 5736422885728743/30191699398572330817932436647906151127335369763331523427009650401964993299137190816689013801421270140331747000246110759198164677039398341060491474011461568349195162615808 binary64)) (/.f64 (+.f64 x.re (/.f64 (.f64 x.im y.im) y.re)) y.re) (if (<=.f64 y.im #s(literal 5500000000000000015799014881938578604284302465478574850665375309234176 binary64)) (/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im))) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im))))
(if (<=.f64 y.im #s(literal -4799999999999999870266217857024 binary64)) (/.f64 (+.f64 x.im (.f64 x.re (/.f64 y.re y.im))) y.im) (if (<=.f64 y.im #s(literal 6734599544820801/93536104789177786765035829293842113257979682750464 binary64)) (/.f64 (+.f64 x.re (/.f64 (.f64 y.im x.im) y.re)) y.re) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)))
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(if (<=.f64 y.im #s(literal -5199999999999999765630077108224 binary64)) (/.f64 x.im y.im) (if (<=.f64 y.im #s(literal 1225996432692711/3064991081731777716716694054300618367237478244367204352 binary64)) (/.f64 x.re y.re) (/.f64 x.im y.im)))
(if (or (<=.f64 y.im #s(literal -5199999999999999765630077108224 binary64)) (not (<=.f64 y.im #s(literal 1225996432692711/3064991081731777716716694054300618367237478244367204352 binary64)))) (/.f64 x.im y.im) (/.f64 x.re y.re))
(/.f64 x.im y.im)

soundness1.8s (14.2%)

Memory

-24.5MiB live, 1 304.7MiB allocated

Rules

1 573×	`fmm-def`
912×	`fma-define`
860×	`times-frac`
822×	`log1p-expm1-u`
822×	`expm1-log1p-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	575
1	572	506
0	70	976
1	162	976
2	263	976
3	484	976
4	1174	976
5	3112	976
6	4405	976
7	5572	976
8	6433	976
9	6831	976
10	6959	976
11	7132	976
12	7586	976
13	7586	976
14	7586	976
15	7586	976
16	7946	976
0	1566	43300
1	4199	41468
0	580	21659
1	1440	20413
2	4725	20293
0	22	236
1	267	221
2	3561	221

Stop Event

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

Compiler

Compiled 748 to 229 computations (69.4% saved)

preprocess110.0ms (0.9%)

Memory: 8.1MiB live, 167.6MiB allocated
Compiler: Compiled 658 to 210 computations (68.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze25.0ms (0.2%)

sample1.2s (9.2%)

preprocess521.0ms (4%)

explain199.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify37.0ms (0.3%)

localize54.0ms (0.4%)

series31.0ms (0.2%)

rewrite490.0ms (3.8%)

simplify241.0ms (1.9%)

eval69.0ms (0.5%)

prune139.0ms (1.1%)

simplify76.0ms (0.6%)

localize115.0ms (0.9%)

series84.0ms (0.7%)

rewrite160.0ms (1.2%)

simplify417.0ms (3.2%)

eval147.0ms (1.1%)

prune323.0ms (2.5%)

simplify122.0ms (0.9%)

localize376.0ms (2.9%)

series189.0ms (1.5%)

rewrite216.0ms (1.7%)

simplify702.0ms (5.4%)

eval648.0ms (5%)

prune779.0ms (6%)

simplify119.0ms (0.9%)

localize295.0ms (2.3%)

series250.0ms (1.9%)

rewrite259.0ms (2%)

simplify587.0ms (4.6%)

eval293.0ms (2.3%)

prune496.0ms (3.8%)

regimes85.0ms (0.7%)

regimes353.0ms (2.7%)

regimes56.0ms (0.4%)

regimes17.0ms (0.1%)

regimes17.0ms (0.1%)

regimes14.0ms (0.1%)

regimes22.0ms (0.2%)

regimes49.0ms (0.4%)

regimes6.0ms (0%)

bsearch1.0ms (0%)

bsearch202.0ms (1.6%)

bsearch202.0ms (1.6%)

bsearch98.0ms (0.8%)

bsearch29.0ms (0.2%)

bsearch78.0ms (0.6%)

bsearch32.0ms (0.2%)

bsearch26.0ms (0.2%)

simplify10.0ms (0.1%)

soundness1.8s (14.2%)

preprocess110.0ms (0.9%)

end0.0ms (0%)

Profiling