Metrics for _divideComplex, imaginary part

analyze36.0ms (0.3%)

Algorithm

1×

Search

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

Compiler

Compiled 20 to 12 computations (40% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-mult: 13.0ms (72.7% of total)

ival-sub: 2.0ms (11.2% of total)

ival-add: 2.0ms (11.2% of total)

ival-div: 1.0ms (5.6% of total)

const: 0.0ms (0% of total)

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

sample1.9s (14.6%)

Results

1.5s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 514.0ms

ival-mult: 298.0ms (57.9% of total)

ival-div: 127.0ms (24.7% of total)

ival-sub: 41.0ms (8% of total)

ival-add: 39.0ms (7.6% of total)

const: 7.0ms (1.4% of total)

backward-pass: 2.0ms (0.4% of total)

Bogosity

preprocess269.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Calls

Call 1

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

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

explain320.0ms (2.5%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
114	-	1	(6.612342231421232e-308 4.159979513818527e-85 1.0005472832010038e-235 3.47729484670382e-73)	`(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))`
1	-	0	-	`(-.f64 (.f64 x.im y.re) (.f64 x.re y.im))`
0	-	0	-	`(+.f64 (.f64 y.re y.re) (.f64 y.im y.im))`
0	-	0	-	`(*.f64 y.re y.re)`
0	-	0	-	`(*.f64 x.re y.im)`
0	-	0	-	`(*.f64 x.im y.re)`
0	-	0	-	`(*.f64 y.im y.im)`
0	-	0	-	`x.re`
0	-	0	-	`y.re`
0	-	0	-	`y.im`
0	-	0	-	`x.im`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))`	o/o	56	0
↳	`(*.f64 x.re y.im)`	overflow	40
↳	`(*.f64 x.im y.re)`	overflow	32
↳	`(-.f64 (.f64 x.im y.re) (.f64 x.re y.im))`	overflow	68
↳	`(*.f64 y.re y.re)`	overflow	55
↳	`(*.f64 y.im y.im)`	overflow	74
↳	`(+.f64 (.f64 y.re y.re) (.f64 y.im y.im))`	overflow	115
`/.f64`	`(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))`	n/o	33	0
↳	`(*.f64 y.re y.re)`	overflow	55
↳	`(*.f64 y.im y.im)`	overflow	74
↳	`(+.f64 (.f64 y.re y.re) (.f64 y.im y.im))`	overflow	115
`/.f64`	`(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))`	o/n	12	0
↳	`(*.f64 x.re y.im)`	overflow	40
↳	`(*.f64 x.im y.re)`	overflow	32
↳	`(-.f64 (.f64 x.im y.re) (.f64 x.re y.im))`	overflow	68
`/.f64`	`(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))`	n/u	8	0
↳	`(*.f64 y.re y.re)`	underflow	61
↳	`(*.f64 y.im y.im)`	underflow	68
↳	`(+.f64 (.f64 y.re y.re) (.f64 y.im y.im))`	underflow	19
`/.f64`	`(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))`	u/u	3	0
↳	`(*.f64 x.re y.im)`	underflow	30
↳	`(*.f64 x.im y.re)`	underflow	27
↳	`(-.f64 (.f64 x.im y.re) (.f64 x.re y.im))`	underflow	4
↳	`(*.f64 y.re y.re)`	underflow	61
↳	`(*.f64 y.im y.im)`	underflow	68
↳	`(+.f64 (.f64 y.re y.re) (.f64 y.im y.im))`	underflow	19
`-.f64`	`(-.f64 (.f64 x.im y.re) (.f64 x.re y.im))`	nan-rescue	1	0
↳	`(*.f64 x.im y.re)`	overflow	32
↳	`(*.f64 x.re y.im)`	overflow	40
`/.f64`	`(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))`	u/n	1	0
↳	`(*.f64 x.re y.im)`	underflow	30
↳	`(*.f64 x.im y.re)`	underflow	27
↳	`(-.f64 (.f64 x.im y.re) (.f64 x.re y.im))`	underflow	4

Confusion

	Predicted +	Predicted -
+	113	1
-	0	142

Precision

1.0

Recall

0.9912280701754386

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	113	0	1
-	0	0	142

Precision?

1.0

Recall?

0.9912280701754386

Freqs

test

number	freq
0	143
1	112
2	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Results

61.0ms

512×

valid

Compiler

Compiled 138 to 46 computations (66.7% saved)

Precisions

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

ival-mult: 17.0ms (63.2% of total)

ival-div: 4.0ms (14.9% of total)

ival-add: 3.0ms (11.2% of total)

ival-sub: 3.0ms (11.2% of total)

const: 1.0ms (3.7% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.8%	(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))

Compiler

Compiled 19 to 11 computations (42.1% saved)

simplify93.0ms (0.7%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Calls

Call 1

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

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

localize53.0ms (0.4%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x.im y.re)
✓	accuracy	100.0%	(+.f64 (.f64 y.re y.re) (.f64 y.im y.im))
✓	accuracy	99.7%	(-.f64 (.f64 x.im y.re) (.f64 x.re y.im))
✓	accuracy	57.1%	(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))

Results

41.0ms

256×

valid

Compiler

Compiled 50 to 12 computations (76% saved)

Precisions

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

ival-mult: 9.0ms (67.5% of total)

ival-div: 2.0ms (15% of total)

ival-sub: 1.0ms (7.5% of total)

ival-add: 1.0ms (7.5% of total)

const: 0.0ms (0% of total)

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

series27.0ms (0.2%)

Counts

7 → 138

Calls

Call 1

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

Calls

48 calls:

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

rewrite639.0ms (4.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	161
1	268	151
2	3887	151

Stop Event

1×	node limit

Counts

7 → 323

Calls

Call 1

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

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

simplify339.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

737×	`fma-neg`
282×	`associate-r`
268×	`fma-define`
263×	`associate-l`
256×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	765	24434
1	1875	20630
2	6283	20614

Stop Event

1×	node limit

Counts

461 → 513

Calls

Call 1

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

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

eval62.0ms (0.5%)

Compiler: Compiled 12040 to 1613 computations (86.6% saved)

prune94.0ms (0.7%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	497	16	513
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	498	16	514

Accuracy

100.0%

Counts

514 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	74.4%	(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
▶	58.1%	(/.f64 (-.f64 x.re (*.f64 y.re (/.f64 x.im y.im))) (neg.f64 y.im))
	49.0%	(/.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) y.re)
	46.3%	(/.f64 (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) y.re))) y.re)
	48.6%	(/.f64 (+.f64 x.im (neg.f64 (*.f64 x.re (/.f64 y.im y.re)))) y.re)
	33.5%	(/.f64 (.f64 y.re x.im) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
	51.6%	(/.f64 (.f64 y.im (-.f64 (.f64 x.im (/.f64 y.re y.im)) x.re)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
▶	40.1%	(/.f64 (.f64 y.im (neg.f64 x.re)) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
	48.9%	(/.f64 (.f64 x.im (-.f64 y.re (.f64 y.im (/.f64 x.re x.im)))) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
	47.2%	(/.f64 (neg.f64 x.re) y.im)
▶	37.6%	(/.f64 x.im y.re)
	41.2%	(-.f64 (/.f64 x.im y.re) (*.f64 y.im (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))))
	56.7%	(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (-.f64 (.f64 x.im y.re) (*.f64 x.re y.im)))
	72.2%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (-.f64 (.f64 x.im y.re) (*.f64 x.re y.im)) (hypot.f64 y.re y.im)))
▶	36.7%	(*.f64 y.im (/.f64 x.re (neg.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
	58.8%	(neg.f64 (/.f64 (+.f64 x.re (neg.f64 (*.f64 x.im (/.f64 y.re y.im)))) y.im))

Compiler

Compiled 506 to 316 computations (37.5% saved)

simplify554.0ms (4.3%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))
✓	cost-diff	0	(neg.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
✓	cost-diff	0	(/.f64 x.re (neg.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
✓	cost-diff	0	(*.f64 y.im (/.f64 x.re (neg.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
	cost-diff	0	(*.f64 y.im y.im)
	cost-diff	0	(*.f64 y.re y.re)
✓	cost-diff	0	(neg.f64 x.re)
✓	cost-diff	0	(*.f64 y.im (neg.f64 x.re))
✓	cost-diff	0	(/.f64 x.im y.im)
✓	cost-diff	0	(*.f64 y.re (/.f64 x.im y.im))
✓	cost-diff	0	(-.f64 x.re (*.f64 y.re (/.f64 x.im y.im)))
✓	cost-diff	64	(/.f64 (-.f64 x.re (*.f64 y.re (/.f64 x.im y.im))) (neg.f64 y.im))
✓	cost-diff	0	(/.f64 x.im y.re)
✓	cost-diff	0	(/.f64 x.im (hypot.f64 y.re y.im))
✓	cost-diff	0	(hypot.f64 y.re y.im)
✓	cost-diff	0	(/.f64 y.re (hypot.f64 y.re y.im))
✓	cost-diff	19520	(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))

Rules

1142×	`fma-define`
1107×	`fma-neg`
327×	`times-frac`
277×	`div-sub`
275×	`unsub-neg`

Iterations

Useful iterations: 13 (0.0ms)

Iter	Nodes	Cost
0	37	709
1	81	709
2	193	709
3	475	693
4	1067	693
5	2829	693
6	4301	693
7	5275	693
8	5611	693
9	5732	693
10	5776	693
11	5864	675
12	6032	675
13	6302	669
14	6372	669
15	6518	669
16	7128	669
17	7128	669
18	7128	669
19	7128	669
20	7128	669
21	7128	669

Stop Event

1×

saturated

Calls

Call 1

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

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

localize158.0ms (1.2%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(neg.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
✓	accuracy	100.0%	(pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))
✓	accuracy	83.2%	(/.f64 x.re (neg.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
✓	accuracy	82.9%	(*.f64 y.im (/.f64 x.re (neg.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))
	accuracy	100.0%	(*.f64 y.im y.im)
✓	accuracy	100.0%	(neg.f64 x.re)
	accuracy	100.0%	(+.f64 (.f64 y.re y.re) (.f64 y.im y.im))
✓	accuracy	69.3%	(/.f64 (.f64 y.im (neg.f64 x.re)) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
✓	accuracy	100.0%	(neg.f64 y.im)
✓	accuracy	100.0%	(-.f64 x.re (*.f64 y.re (/.f64 x.im y.im)))
✓	accuracy	99.9%	(/.f64 (-.f64 x.re (*.f64 y.re (/.f64 x.im y.im))) (neg.f64 y.im))
✓	accuracy	90.6%	(*.f64 y.re (/.f64 x.im y.im))
✓	accuracy	100.0%	(/.f64 x.im y.re)
✓	accuracy	100.0%	(pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))
✓	accuracy	99.2%	(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))))
✓	accuracy	93.4%	(*.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
✓	accuracy	65.7%	(/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))

Results

121.0ms

256×

valid

Compiler

Compiled 181 to 29 computations (84% saved)

Precisions

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

ival-div: 15.0ms (32% of total)

ival-mult: 13.0ms (27.8% of total)

ival-hypot: 5.0ms (10.7% of total)

ival-neg: 5.0ms (10.7% of total)

ival-fma: 3.0ms (6.4% of total)

ival-pow: 3.0ms (6.4% of total)

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

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

const: 0.0ms (0% of total)

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

series94.0ms (0.7%)

Counts

19 → 528

Calls

Call 1

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

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

Calls

144 calls:

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

rewrite238.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

281×	`log1p-expm1-u`
281×	`expm1-log1p-u`
276×	`add-exp-log`
276×	`add-log-exp`
275×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	533
1	636	481

Stop Event

1×	node limit

Counts

19 → 631

Calls

Call 1

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

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

simplify789.0ms (6.1%)

Algorithm

1×	egg-herbie

Rules

519×	`distribute-lft-in`
511×	`distribute-rgt-in`
437×	`*-commutative`
235×	`+-commutative`
234×	`sub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1718	52445
1	4592	50534

Stop Event

1×	node limit

Counts

1159 → 1228

Calls

Call 1

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

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

eval296.0ms (2.3%)

Compiler: Compiled 36527 to 5263 computations (85.6% saved)

prune329.0ms (2.5%)

Pruning

21 alts after pruning (19 fresh and 2 done)

	Pruned	Kept	Total
New	1540	15	1555
Fresh	7	4	11
Picked	3	2	5
Done	0	0	0
Total	1550	21	1571

Accuracy

100.0%

Counts

1571 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.7%	(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)))))
	19.1%	(/.f64 (pow.f64 (pow.f64 (+.f64 x.re (*.f64 y.re (/.f64 x.im y.im))) #s(literal 3 binary64)) #s(literal 1/3 binary64)) (neg.f64 y.im))
	55.9%	(/.f64 (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re) y.im)
	58.8%	(/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)
	55.9%	(/.f64 (-.f64 x.re (/.f64 #s(literal 1 binary64) (/.f64 y.im (*.f64 y.re x.im)))) (neg.f64 y.im))
	49.0%	(/.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) y.re)
▶	48.6%	(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
▶	46.3%	(/.f64 (+.f64 x.im (/.f64 (*.f64 y.im (neg.f64 x.re)) y.re)) y.re)
	24.2%	(/.f64 (*.f64 y.re (/.f64 x.im (neg.f64 y.im))) (neg.f64 y.im))
	48.3%	(/.f64 (*.f64 y.re (-.f64 (/.f64 x.re y.re) (/.f64 x.im y.im))) (neg.f64 y.im))
✓	40.1%	(/.f64 (.f64 y.im (neg.f64 x.re)) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
▶	48.9%	(/.f64 (.f64 x.im (-.f64 y.re (.f64 y.im (/.f64 x.re x.im)))) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
▶	47.2%	(/.f64 (neg.f64 x.re) y.im)
	28.1%	(/.f64 (expm1.f64 (log1p.f64 (+.f64 x.re (*.f64 y.re (/.f64 x.im y.im))))) (neg.f64 y.im))
✓	37.6%	(/.f64 x.im y.re)
	37.0%	(/.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
	19.3%	(+.f64 (/.f64 x.re y.im) (*.f64 y.re (/.f64 (/.f64 x.im y.im) y.im)))
	72.2%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (-.f64 (.f64 x.im y.re) (*.f64 x.re y.im)) (hypot.f64 y.re y.im)))
	19.3%	(*.f64 y.im (/.f64 (neg.f64 x.re) (pow.f64 y.re #s(literal 2 binary64))))
	41.5%	(.f64 x.re (.f64 y.im (neg.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64)))))
	37.5%	(*.f64 x.im (/.f64 #s(literal 1 binary64) y.re))

Compiler

Compiled 585 to 373 computations (36.2% saved)

simplify94.0ms (0.7%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(*.f64 y.re y.re)
✓	cost-diff	0	(/.f64 x.re x.im)
✓	cost-diff	0	(*.f64 y.im (/.f64 x.re x.im))
✓	cost-diff	128	(.f64 x.im (-.f64 y.re (.f64 y.im (/.f64 x.re x.im))))
✓	cost-diff	-6272	(/.f64 (+.f64 x.im (/.f64 (*.f64 y.im (neg.f64 x.re)) y.re)) y.re)
	cost-diff	0	(neg.f64 x.re)
	cost-diff	0	(*.f64 y.im (neg.f64 x.re))
✓	cost-diff	0	(/.f64 (*.f64 y.im (neg.f64 x.re)) y.re)
✓	cost-diff	-6336	(-.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))
✓	cost-diff	-6336	(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
✓	cost-diff	0	(/.f64 y.im y.re)
✓	cost-diff	0	(*.f64 x.re (/.f64 y.im y.re))
	cost-diff	0	(neg.f64 x.re)
✓	cost-diff	0	(/.f64 (neg.f64 x.re) y.im)
✓	cost-diff	6400	(/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re))
✓	cost-diff	6400	(*.f64 x.re (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)))
✓	cost-diff	6400	(neg.f64 (*.f64 x.re (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re))))
✓	cost-diff	25920	(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)))))

Rules

661×	`fma-neg`
496×	`div-sub`
472×	`associate-/l/`
450×	`unsub-neg`
326×	`associate-*r/`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	40	924
1	90	904
2	199	896
3	438	896
4	988	823
5	2299	823
6	4589	823
7	6994	823

Stop Event

1×	node limit

Calls

Call 1

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

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

localize145.0ms (1.1%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(+.f64 (.f64 y.re y.re) (.f64 y.im y.im))
✓	accuracy	92.2%	(.f64 x.im (-.f64 y.re (.f64 y.im (/.f64 x.re x.im))))
✓	accuracy	92.2%	(*.f64 y.im (/.f64 x.re x.im))
✓	accuracy	57.1%	(/.f64 (.f64 x.im (-.f64 y.re (.f64 y.im (/.f64 x.re x.im)))) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
	accuracy	100.0%	(neg.f64 x.re)
✓	accuracy	100.0%	(+.f64 x.im (/.f64 (*.f64 y.im (neg.f64 x.re)) y.re))
✓	accuracy	98.4%	(/.f64 (+.f64 x.im (/.f64 (*.f64 y.im (neg.f64 x.re)) y.re)) y.re)
✓	accuracy	90.4%	(/.f64 (*.f64 y.im (neg.f64 x.re)) y.re)
✓	accuracy	100.0%	(/.f64 y.im y.re)
✓	accuracy	100.0%	(-.f64 x.im (*.f64 x.re (/.f64 y.im y.re)))
✓	accuracy	98.4%	(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
✓	accuracy	93.1%	(*.f64 x.re (/.f64 y.im y.re))
✓	accuracy	100.0%	(/.f64 (neg.f64 x.re) y.im)
	accuracy	100.0%	(neg.f64 x.re)
✓	accuracy	100.0%	(neg.f64 (*.f64 x.re (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re))))
✓	accuracy	99.9%	(/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re))
✓	accuracy	99.2%	(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)))))
✓	accuracy	93.4%	(*.f64 x.re (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)))

Results

102.0ms

256×

valid

Compiler

Compiled 213 to 32 computations (85% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-div: 25.0ms (44.1% of total)

ival-mult: 12.0ms (21.2% of total)

ival-hypot: 9.0ms (15.9% of total)

ival-fma: 3.0ms (5.3% of total)

ival-add: 2.0ms (3.5% of total)

ival-sub: 2.0ms (3.5% of total)

ival-neg: 2.0ms (3.5% of total)

const: 0.0ms (0% of total)

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

series157.0ms (1.2%)

Counts

16 → 564

Calls

Call 1

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

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

Calls

153 calls:

Time	Variable		Point	Expression
84.0ms	y.im	@	inf	(* y.im (/ x.re x.im))
3.0ms	y.re	@	-inf	(+ (* (/ y.re (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ x.im (sqrt (+ (* y.re y.re) (* y.im y.im))))) (neg (* x.re (/ (/ y.im (sqrt (+ (* y.im y.im) (* y.re y.re)))) (sqrt (+ (* y.im y.im) (* y.re y.re)))))))
2.0ms	x.re	@	-inf	(/ (- x.im (* x.re (/ y.im y.re))) y.re)
1.0ms	x.im	@	-inf	(/ (* x.im (- y.re (* y.im (/ x.re x.im)))) (+ (* y.re y.re) (* y.im y.im)))
1.0ms	x.im	@	0	(/ (- x.im (* x.re (/ y.im y.re))) y.re)

rewrite342.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

339×	`log1p-expm1-u`
339×	`expm1-log1p-u`
336×	`add-cube-cbrt`
335×	`add-exp-log`
335×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	581
1	757	516

Stop Event

1×	node limit

Counts

16 → 342

Calls

Call 1

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

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

simplify519.0ms (4%)

Algorithm

1×	egg-herbie

Rules

509×	`fma-define`
415×	`associate-r`
383×	`associate-l`
230×	`*-commutative`
216×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1022	40351
1	2742	36970

Stop Event

1×	node limit

Counts

906 → 631

Calls

Call 1

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

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

eval345.0ms (2.7%)

Compiler: Compiled 16220 to 2930 computations (81.9% saved)

prune329.0ms (2.5%)

Pruning

23 alts after pruning (18 fresh and 5 done)

	Pruned	Kept	Total
New	781	5	786
Fresh	1	13	14
Picked	2	3	5
Done	0	2	2
Total	784	23	807

Accuracy

100.0%

Counts

807 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	95.7%	(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)))))
	19.1%	(/.f64 (pow.f64 (pow.f64 (+.f64 x.re (*.f64 y.re (/.f64 x.im y.im))) #s(literal 3 binary64)) #s(literal 1/3 binary64)) (neg.f64 y.im))
▶	55.9%	(/.f64 (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re) y.im)
	58.8%	(/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)
▶	55.9%	(/.f64 (-.f64 x.re (/.f64 #s(literal 1 binary64) (/.f64 y.im (*.f64 y.re x.im)))) (neg.f64 y.im))
	46.3%	(/.f64 (-.f64 x.im (/.f64 (*.f64 y.im x.re) y.re)) y.re)
	48.6%	(/.f64 (-.f64 x.im (.f64 x.re (.f64 y.im (/.f64 #s(literal 1 binary64) y.re)))) y.re)
	10.8%	(/.f64 (+.f64 #s(literal 0 binary64) x.re) y.im)
	24.2%	(/.f64 (*.f64 y.re (/.f64 x.im (neg.f64 y.im))) (neg.f64 y.im))
	48.3%	(/.f64 (*.f64 y.re (-.f64 (/.f64 x.re y.re) (/.f64 x.im y.im))) (neg.f64 y.im))
▶	23.0%	(/.f64 (*.f64 y.im (/.f64 x.re (neg.f64 y.re))) y.re)
✓	40.1%	(/.f64 (.f64 y.im (neg.f64 x.re)) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
	21.4%	(/.f64 (*.f64 x.re (/.f64 y.im (neg.f64 y.re))) y.re)
✓	48.9%	(/.f64 (.f64 x.im (-.f64 y.re (.f64 y.im (/.f64 x.re x.im)))) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
✓	47.2%	(/.f64 (neg.f64 x.re) y.im)
	28.1%	(/.f64 (expm1.f64 (log1p.f64 (+.f64 x.re (*.f64 y.re (/.f64 x.im y.im))))) (neg.f64 y.im))
✓	37.6%	(/.f64 x.im y.re)
	37.0%	(/.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
	19.3%	(+.f64 (/.f64 x.re y.im) (*.f64 y.re (/.f64 (/.f64 x.im y.im) y.im)))
▶	72.2%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (-.f64 (.f64 x.im y.re) (*.f64 x.re y.im)) (hypot.f64 y.re y.im)))
	19.3%	(*.f64 y.im (/.f64 (neg.f64 x.re) (pow.f64 y.re #s(literal 2 binary64))))
	41.5%	(.f64 x.re (.f64 y.im (neg.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64)))))
▶	37.5%	(*.f64 x.im (/.f64 #s(literal 1 binary64) y.re))

Compiler

Compiled 571 to 374 computations (34.5% saved)

simplify174.0ms (1.3%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 y.im (*.f64 y.re x.im))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 y.im (*.f64 y.re x.im)))
✓	cost-diff	128	(-.f64 x.re (/.f64 #s(literal 1 binary64) (/.f64 y.im (*.f64 y.re x.im))))
✓	cost-diff	192	(/.f64 (-.f64 x.re (/.f64 #s(literal 1 binary64) (/.f64 y.im (*.f64 y.re x.im)))) (neg.f64 y.im))
	cost-diff	0	(*.f64 x.im y.re)
✓	cost-diff	0	(/.f64 (*.f64 x.im y.re) y.im)
✓	cost-diff	0	(-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re)
✓	cost-diff	0	(/.f64 (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re) y.im)
✓	cost-diff	0	(neg.f64 y.re)
✓	cost-diff	0	(/.f64 x.re (neg.f64 y.re))
✓	cost-diff	0	(*.f64 y.im (/.f64 x.re (neg.f64 y.re)))
✓	cost-diff	0	(/.f64 (*.f64 y.im (/.f64 x.re (neg.f64 y.re))) y.re)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y.re)
✓	cost-diff	128	(*.f64 x.im (/.f64 #s(literal 1 binary64) y.re))
✓	cost-diff	0	(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (hypot.f64 y.re y.im))
	cost-diff	0	(hypot.f64 y.re y.im)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
✓	cost-diff	6528	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (-.f64 (.f64 x.im y.re) (*.f64 x.re y.im)) (hypot.f64 y.re y.im)))

Rules

1651×	`fma-define`
771×	`div-sub`
464×	`unsub-neg`
446×	`fma-neg`
400×	`distribute-lft-neg-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	35	645
1	94	633
2	218	627
3	716	623
4	2239	623
5	4621	623
6	6456	623
7	7558	623
8	7846	623
9	7896	623
10	7934	623

Stop Event

1×	node limit

Calls

Call 1

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

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

localize132.0ms (1%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 x.re (/.f64 #s(literal 1 binary64) (/.f64 y.im (*.f64 y.re x.im))))
✓	accuracy	99.9%	(/.f64 (-.f64 x.re (/.f64 #s(literal 1 binary64) (/.f64 y.im (*.f64 y.re x.im)))) (neg.f64 y.im))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 y.im (*.f64 y.re x.im)))
✓	accuracy	92.0%	(/.f64 y.im (*.f64 y.re x.im))
	accuracy	100.0%	(*.f64 x.im y.re)
✓	accuracy	100.0%	(-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re)
✓	accuracy	99.9%	(/.f64 (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re) y.im)
✓	accuracy	92.0%	(/.f64 (*.f64 x.im y.re) y.im)
✓	accuracy	100.0%	(/.f64 x.re (neg.f64 y.re))
✓	accuracy	100.0%	(neg.f64 y.re)
✓	accuracy	97.4%	(/.f64 (*.f64 y.im (/.f64 x.re (neg.f64 y.re))) y.re)
✓	accuracy	91.9%	(*.f64 y.im (/.f64 x.re (neg.f64 y.re)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y.re)
✓	accuracy	99.7%	(*.f64 x.im (/.f64 #s(literal 1 binary64) y.re))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
	accuracy	99.7%	(-.f64 (.f64 x.im y.re) (.f64 x.re y.im))
✓	accuracy	99.7%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (-.f64 (.f64 x.im y.re) (*.f64 x.re y.im)) (hypot.f64 y.re y.im)))
✓	accuracy	73.0%	(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (hypot.f64 y.re y.im))

Results

88.0ms

256×

valid

Compiler

Compiled 164 to 28 computations (82.9% saved)

Precisions

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

ival-div: 20.0ms (40.3% of total)

ival-mult: 17.0ms (34.2% of total)

ival-hypot: 6.0ms (12.1% of total)

ival-sub: 4.0ms (8.1% of total)

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

const: 0.0ms (0% of total)

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

series129.0ms (1%)

Counts

16 → 504

Calls

Call 1

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

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

Calls

141 calls:

Time	Variable		Point	Expression
61.0ms	x.im	@	inf	(/ y.im (* y.re x.im))
16.0ms	y.re	@	inf	(/ (* y.im (/ x.re (neg y.re))) y.re)
1.0ms	y.im	@	0	(/ (* y.im (/ x.re (neg y.re))) y.re)
1.0ms	y.im	@	inf	(/ (* y.im (/ x.re (neg y.re))) y.re)
1.0ms	x.re	@	0	(/ (* y.im (/ x.re (neg y.re))) y.re)

rewrite242.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

314×	`times-frac`
280×	`log1p-expm1-u`
280×	`add-cube-cbrt`
280×	`expm1-log1p-u`
278×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	456
1	666	424

Stop Event

1×	node limit

Counts

16 → 476

Calls

Call 1

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

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

simplify437.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

828×	`times-frac`
650×	`fma-define`
302×	`*-commutative`
251×	`distribute-lft-in`
250×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1359	39913
1	3521	37135

Stop Event

1×	node limit

Counts

980 → 850

Calls

Call 1

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

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

eval508.0ms (3.9%)

Compiler: Compiled 27318 to 4329 computations (84.2% saved)

prune366.0ms (2.8%)

Pruning

24 alts after pruning (17 fresh and 7 done)

	Pruned	Kept	Total
New	1254	10	1264
Fresh	6	7	13
Picked	2	3	5
Done	1	4	5
Total	1263	24	1287

Accuracy

100.0%

Counts

1287 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	72.3%	(/.f64 (/.f64 (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)) (hypot.f64 y.re y.im)) (hypot.f64 y.re y.im))
	19.7%	(/.f64 (/.f64 (*.f64 (neg.f64 y.im) x.re) y.re) y.re)
	20.9%	(/.f64 (/.f64 (*.f64 x.im y.re) y.im) y.im)
✓	55.9%	(/.f64 (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re) y.im)
	46.3%	(/.f64 (-.f64 x.im (/.f64 (*.f64 y.im x.re) y.re)) y.re)
	48.6%	(/.f64 (-.f64 x.im (.f64 x.re (.f64 y.im (/.f64 #s(literal 1 binary64) y.re)))) y.re)
	10.8%	(/.f64 (+.f64 #s(literal 0 binary64) x.re) y.im)
	24.2%	(/.f64 (*.f64 y.re (/.f64 x.im y.im)) y.im)
✓	23.0%	(/.f64 (*.f64 y.im (/.f64 x.re (neg.f64 y.re))) y.re)
✓	40.1%	(/.f64 (.f64 y.im (neg.f64 x.re)) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
	23.9%	(/.f64 (*.f64 x.im (/.f64 y.re y.im)) y.im)
✓	48.9%	(/.f64 (.f64 x.im (-.f64 y.re (.f64 y.im (/.f64 x.re x.im)))) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
✓	47.2%	(/.f64 (neg.f64 x.re) y.im)
	8.7%	(/.f64 (neg.f64 x.im) y.re)
✓	37.6%	(/.f64 x.im y.re)
	37.0%	(/.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
	19.3%	(+.f64 (/.f64 x.re y.im) (*.f64 y.re (/.f64 (/.f64 x.im y.im) y.im)))
	27.8%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (fma.f64 #s(literal -1 binary64) x.im (.f64 x.re (/.f64 y.im y.re))))
	48.3%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (.f64 y.im (neg.f64 x.re)) (hypot.f64 y.re y.im)))
	32.7%	(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (neg.f64 x.re))
	58.7%	(.f64 (-.f64 (.f64 x.im (/.f64 y.re y.im)) x.re) (/.f64 #s(literal 1 binary64) y.im))
	19.3%	(*.f64 y.im (/.f64 (neg.f64 x.re) (pow.f64 y.re #s(literal 2 binary64))))
	41.5%	(.f64 x.re (.f64 y.im (neg.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64)))))
✓	37.5%	(*.f64 x.im (/.f64 #s(literal 1 binary64) y.re))

Compiler

Compiled 810 to 361 computations (55.4% saved)

regimes71.0ms (0.5%)

Counts

47 → 1

Calls

Call 1

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

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

Calls

5 calls:

15.0ms	y.im
14.0ms	x.im
13.0ms	x.re
13.0ms	y.re
12.0ms	(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))

Results

Accuracy	Segments	Branch
95.7%	1	`x.re`
95.7%	1	`x.im`
95.7%	1	`y.re`
95.7%	1	`y.im`
95.7%	1	`(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))`

Compiler

Compiled 39 to 27 computations (30.8% saved)

regimes113.0ms (0.9%)

Counts

46 → 5

Calls

Call 1

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

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

Calls

5 calls:

42.0ms	y.re
24.0ms	y.im
18.0ms	x.re
13.0ms	x.im
11.0ms	(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))

Results

Accuracy	Segments	Branch
76.4%	2	`x.re`
85.4%	3	`y.re`
85.9%	2	`(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))`
82.2%	3	`x.im`
94.1%	5	`y.im`

Compiler

Compiled 39 to 27 computations (30.8% saved)

regimes16.0ms (0.1%)

Counts

45 → 5

Calls

Call 1

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

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

Calls

1 calls:

12.0ms

y.im

Results

Accuracy	Segments	Branch
90.9%	5	`y.im`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes184.0ms (1.4%)

Counts

43 → 5

Calls

Call 1

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

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

Calls

3 calls:

146.0ms	y.im
24.0ms	y.re
11.0ms	(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))

Results

Accuracy	Segments	Branch
82.2%	3	`y.re`
81.6%	5	`(/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))`
86.5%	5	`y.im`

Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes34.0ms (0.3%)

Counts

42 → 5

Calls

Call 1

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

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

Calls

1 calls:

11.0ms

y.im

Results

Accuracy	Segments	Branch
86.5%	5	`y.im`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes32.0ms (0.2%)

Counts

30 → 3

Calls

Call 1

Inputs
(/.f64 x.im y.re)
(/.f64 (neg.f64 x.im) y.re)
(/.f64 (neg.f64 x.re) y.im)
(*.f64 x.im (/.f64 #s(literal 1 binary64) y.re))
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
(/.f64 (+.f64 #s(literal 0 binary64) x.re) y.im)
(/.f64 (*.f64 x.im (/.f64 y.re y.im)) y.im)
(/.f64 (*.f64 y.re (/.f64 x.im y.im)) y.im)
(/.f64 (/.f64 (*.f64 x.im y.re) y.im) y.im)
(/.f64 (*.f64 x.re (/.f64 y.im (neg.f64 y.re))) y.re)
(/.f64 (*.f64 y.im (/.f64 x.re (neg.f64 y.re))) y.re)
(/.f64 (/.f64 (*.f64 (neg.f64 y.im) x.re) y.re) y.re)
(/.f64 (*.f64 y.re (/.f64 x.im (neg.f64 y.im))) (neg.f64 y.im))
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
(/.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) y.re)
(/.f64 (-.f64 x.im (/.f64 (*.f64 y.im x.re) y.re)) y.re)
(/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)
(/.f64 (-.f64 (/.f64 (*.f64 x.im y.re) y.im) x.re) y.im)
(/.f64 (+.f64 x.im (neg.f64 (*.f64 x.re (/.f64 y.im y.re)))) y.re)
(/.f64 (+.f64 x.im (/.f64 (*.f64 y.im (neg.f64 x.re)) y.re)) y.re)
(/.f64 (-.f64 x.re (*.f64 y.re (/.f64 x.im y.im))) (neg.f64 y.im))
(neg.f64 (/.f64 (+.f64 x.re (neg.f64 (*.f64 x.im (/.f64 y.re y.im)))) y.im))
(.f64 (-.f64 (.f64 x.im (/.f64 y.re y.im)) x.re) (/.f64 #s(literal 1 binary64) y.im))
(+.f64 (/.f64 x.re y.im) (*.f64 y.re (/.f64 (/.f64 x.im y.im) y.im)))
(/.f64 (.f64 y.re x.im) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) y.re))) y.re)
(/.f64 (-.f64 x.im (.f64 x.re (.f64 y.im (/.f64 #s(literal 1 binary64) y.re)))) y.re)
(/.f64 (.f64 y.im (neg.f64 x.re)) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (*.f64 y.re (-.f64 (/.f64 x.re y.re) (/.f64 x.im y.im))) (neg.f64 y.im))
(/.f64 (-.f64 x.re (/.f64 #s(literal 1 binary64) (/.f64 y.im (*.f64 y.re x.im)))) (neg.f64 y.im))

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

Calls

3 calls:

12.0ms	x.im
9.0ms	y.im
8.0ms	y.re

Results

Accuracy	Segments	Branch
63.0%	3	`x.im`
82.2%	3	`y.re`
81.0%	3	`y.im`

Compiler

Compiled 15 to 12 computations (20% saved)

regimes23.0ms (0.2%)

Counts

16 → 3

Calls

Call 1

Inputs
(/.f64 x.im y.re)
(/.f64 (neg.f64 x.im) y.re)
(/.f64 (neg.f64 x.re) y.im)
(*.f64 x.im (/.f64 #s(literal 1 binary64) y.re))
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
(/.f64 (+.f64 #s(literal 0 binary64) x.re) y.im)
(/.f64 (*.f64 x.im (/.f64 y.re y.im)) y.im)
(/.f64 (*.f64 y.re (/.f64 x.im y.im)) y.im)
(/.f64 (/.f64 (*.f64 x.im y.re) y.im) y.im)
(/.f64 (*.f64 x.re (/.f64 y.im (neg.f64 y.re))) y.re)
(/.f64 (*.f64 y.im (/.f64 x.re (neg.f64 y.re))) y.re)
(/.f64 (/.f64 (*.f64 (neg.f64 y.im) x.re) y.re) y.re)
(/.f64 (*.f64 y.re (/.f64 x.im (neg.f64 y.im))) (neg.f64 y.im))
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
(/.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) y.re)
(/.f64 (-.f64 x.im (/.f64 (*.f64 y.im x.re) y.re)) y.re)

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

Calls

3 calls:

11.0ms	x.re
5.0ms	y.re
5.0ms	y.im

Results

Accuracy	Segments	Branch
63.4%	6	`x.re`
74.5%	3	`y.im`
73.6%	3	`y.re`

Compiler

Compiled 15 to 12 computations (20% saved)

regimes6.0ms (0%)

Counts

15 → 3

Calls

Call 1

Inputs
(/.f64 x.im y.re)
(/.f64 (neg.f64 x.im) y.re)
(/.f64 (neg.f64 x.re) y.im)
(*.f64 x.im (/.f64 #s(literal 1 binary64) y.re))
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
(/.f64 (+.f64 #s(literal 0 binary64) x.re) y.im)
(/.f64 (*.f64 x.im (/.f64 y.re y.im)) y.im)
(/.f64 (*.f64 y.re (/.f64 x.im y.im)) y.im)
(/.f64 (/.f64 (*.f64 x.im y.re) y.im) y.im)
(/.f64 (*.f64 x.re (/.f64 y.im (neg.f64 y.re))) y.re)
(/.f64 (*.f64 y.im (/.f64 x.re (neg.f64 y.re))) y.re)
(/.f64 (/.f64 (*.f64 (neg.f64 y.im) x.re) y.re) y.re)
(/.f64 (*.f64 y.re (/.f64 x.im (neg.f64 y.im))) (neg.f64 y.im))
(/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re)
(/.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) y.re)

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

Calls

1 calls:

5.0ms

y.im

Results

Accuracy	Segments	Branch
74.5%	3	`y.im`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes10.0ms (0.1%)

Counts

13 → 3

Calls

Call 1

Inputs
(/.f64 x.im y.re)
(/.f64 (neg.f64 x.im) y.re)
(/.f64 (neg.f64 x.re) y.im)
(*.f64 x.im (/.f64 #s(literal 1 binary64) y.re))
(/.f64 #s(literal 1 binary64) (/.f64 y.re x.im))
(/.f64 (+.f64 #s(literal 0 binary64) x.re) y.im)
(/.f64 (*.f64 x.im (/.f64 y.re y.im)) y.im)
(/.f64 (*.f64 y.re (/.f64 x.im y.im)) y.im)
(/.f64 (/.f64 (*.f64 x.im y.re) y.im) y.im)
(/.f64 (*.f64 x.re (/.f64 y.im (neg.f64 y.re))) y.re)
(/.f64 (*.f64 y.im (/.f64 x.re (neg.f64 y.re))) y.re)
(/.f64 (/.f64 (*.f64 (neg.f64 y.im) x.re) y.re) y.re)
(/.f64 (*.f64 y.re (/.f64 x.im (neg.f64 y.im))) (neg.f64 y.im))

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

Calls

2 calls:

4.0ms	y.re
4.0ms	y.im

Results

Accuracy	Segments	Branch
67.7%	3	`y.re`
66.2%	3	`y.im`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes19.0ms (0.1%)

Accuracy

Total -19.0b remaining (-47.6%)

Threshold costs -19b (-47.6%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

14.0ms	y.re
2.0ms	x.im
2.0ms	y.im
2.0ms	x.re

Results

Accuracy	Segments	Branch
37.6%	1	`x.re`
37.6%	1	`x.im`
37.6%	1	`y.im`
37.6%	1	`y.re`

Compiler

Compiled 20 to 16 computations (20% saved)

bsearch161.0ms (1.2%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
28.0ms	1.0102109005054114e+155	1.2955107402799575e+162
5.0ms	7.56324942534062e-168	9.707052833811302e-168
20.0ms	-5.527363329278037e-103	-7.468639129592828e-124
101.0ms	-1.6219901386427777e+163	-3.2741023790183744e+160

Results

138.0ms

496×

valid

Compiler

Compiled 1266 to 730 computations (42.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 109.0ms

ival-div: 89.0ms (81.5% of total)

ival-mult: 15.0ms (13.7% of total)

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

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

const: 0.0ms (0% of total)

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

bsearch64.0ms (0.5%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
17.0ms	2.2415305922659188e+142	1.2537688167568755e+150
13.0ms	4.725654598321322e-172	1.1689116097334095e-169
13.0ms	-1.220290814722248e-162	-9.849251874790361e-165
16.0ms	-2.849912091233277e+102	-1.5643474021553868e+98

Results

43.0ms

496×

valid

Compiler

Compiled 1080 to 637 computations (41% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-mult: 15.0ms (64% of total)

ival-div: 3.0ms (12.8% of total)

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

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

const: 0.0ms (0% of total)

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

bsearch133.0ms (1%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
18.0ms	2.2415305922659188e+142	1.2537688167568755e+150
19.0ms	8.567830479330965e-153	4.96316630016829e-140
23.0ms	-5.527363329278037e-103	-7.468639129592828e-124
65.0ms	-1.4188034947523278e+88	-8.762327171269186e+78

Results

104.0ms

624×

valid

Compiler

Compiled 1352 to 874 computations (35.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-mult: 22.0ms (67.3% of total)

ival-div: 4.0ms (12.2% of total)

ival-sub: 3.0ms (9.2% of total)

ival-add: 3.0ms (9.2% of total)

const: 1.0ms (3.1% of total)

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

bsearch83.0ms (0.6%)

Algorithm

4×	binary-search

Stop Event

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

Steps

Time	Left	Right
18.0ms	2.2415305922659188e+142	1.2537688167568755e+150
19.0ms	8.567830479330965e-153	4.96316630016829e-140
21.0ms	-5.527363329278037e-103	-7.468639129592828e-124
18.0ms	-1.4188034947523278e+88	-8.762327171269186e+78

Results

53.0ms

624×

valid

Compiler

Compiled 1352 to 836 computations (38.2% saved)

Precisions

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

ival-mult: 20.0ms (65% of total)

ival-div: 4.0ms (13% of total)

ival-sub: 3.0ms (9.7% of total)

ival-add: 3.0ms (9.7% of total)

const: 1.0ms (3.2% of total)

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

bsearch35.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	14659323110.211279	30311376442186.477
17.0ms	-1.8148437189552605e+94	-7.49460892006826e+89

Results

24.0ms

256×

valid

Compiler

Compiled 474 to 305 computations (35.7% saved)

Precisions

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

ival-mult: 8.0ms (64.8% of total)

ival-div: 2.0ms (16.2% of total)

ival-sub: 1.0ms (8.1% of total)

ival-add: 1.0ms (8.1% of total)

const: 0.0ms (0% of total)

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

bsearch102.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
77.0ms	3.0311819599259333e+21	1.4265999000021668e+22
22.0ms	-1.0399789938204629e+37	-5.998024565623824e+26

Results

87.0ms

256×

valid

Compiler

Compiled 394 to 273 computations (30.7% saved)

Precisions

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

ival-mult: 8.0ms (66% of total)

ival-div: 2.0ms (16.5% of total)

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

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

const: 0.0ms (0% of total)

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

bsearch34.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	3.0311819599259333e+21	1.4265999000021668e+22
20.0ms	-1.0399789938204629e+37	-5.998024565623824e+26

Results

23.0ms

256×

valid

Compiler

Compiled 394 to 273 computations (30.7% saved)

Precisions

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

ival-mult: 8.0ms (60.1% of total)

ival-sub: 2.0ms (15% of total)

ival-div: 2.0ms (15% of total)

ival-add: 1.0ms (7.5% of total)

const: 0.0ms (0% of total)

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

bsearch82.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
63.0ms	0.0015678397183146438	17697017.294410106
16.0ms	-5.719208958100122e+115	-3.388308972725023e+111

Results

70.0ms

288×

valid

Compiler

Compiled 332 to 251 computations (24.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

ival-sub: 46.0ms (77.6% of total)

ival-mult: 10.0ms (16.9% of total)

ival-div: 2.0ms (3.4% of total)

ival-add: 1.0ms (1.7% of total)

const: 0.0ms (0% of total)

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

simplify32.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	136	1714
1	200	1714
2	256	1714
3	293	1714
4	313	1714
5	319	1714

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)))))
(if (<=.f64 y.im #s(literal -32999999999999997249776332787058856563389550787816691029712951468495095550666886126180961904185922103903132241300307489303790822903901899499832115222575287631872 binary64)) (/.f64 (-.f64 (.f64 x.im (/.f64 y.re y.im)) x.re) y.im) (if (<=.f64 y.im #s(literal -8931394244144417/11908525658859223294760121268437066290850060053501019099651935423375594096449911575776314174894302258147533153997065059263030913083222523904 binary64)) (fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))) (if (<=.f64 y.im #s(literal 5045810931759287/531137992816767098689588206552468627329593117727031923199444138200403559860852242739162502265229285668889329486246501015346579337652707239409519978766587351943831270835393219031728128 binary64)) (/.f64 (-.f64 x.im (/.f64 (.f64 y.im x.re) y.re)) y.re) (if (<=.f64 y.im #s(literal 101999999999999998112099972223808042168996031756788934055833815818951472990672313788201237905287166446205186812816200586527989285559745572604987448441700352 binary64)) (fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))) (/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)))))
(if (<=.f64 y.im #s(literal -479999999999999974608016564847366456850466395069552093788587458885524399783367325357673710832582656 binary64)) (/.f64 (-.f64 (.f64 x.im (/.f64 y.re y.im)) x.re) y.im) (if (<=.f64 y.im #s(literal -5446239184156303/259344723055062059907025491480697571938277889515152306249728583105665800713306759149981690559193987143012367913206299323899696942213235956742929677132122730441323862712594345230336 binary64)) (/.f64 (/.f64 (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)) (hypot.f64 y.re y.im)) (hypot.f64 y.re y.im)) (if (<=.f64 y.im #s(literal 1835612903174747/67985663080546188632267290438715984298187919069060086169528849689651655662189087070612800289949348565617834174239552129964362155219546526644418557282123181048810402666930332036061200384 binary64)) (/.f64 (-.f64 x.im (.f64 x.re (/.f64 y.im y.re))) y.re) (if (<=.f64 y.im #s(literal 13000000000000000135398764779913440922661666552830136972377727641724550635891293654972477428957481383683097217231197877898363686120847821143801856 binary64)) (/.f64 (/.f64 (-.f64 (.f64 y.re x.im) (.f64 y.im x.re)) (hypot.f64 y.re y.im)) (hypot.f64 y.re y.im)) (/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)))))
(if (<=.f64 y.im #s(literal -650000000000000026764317766915076938717417597804589419658869442086334024669556899840 binary64)) (/.f64 (-.f64 (.f64 x.im (/.f64 y.re y.im)) x.re) y.im) (if (<=.f64 y.im #s(literal -8931394244144417/1488565707357402911845015158554633286356257506687627387456491927921949262056238946972039271861787782268441644249633132407878864135402815488 binary64)) (/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im))) (if (<=.f64 y.im #s(literal 965362170955867/107262463439540776796592199985646769019834926564739147021788491549774112240588375814414994385335227421520254865491888406830031062495572559571469192048672768 binary64)) (/.f64 (-.f64 x.im (/.f64 (.f64 y.im x.re) y.re)) y.re) (if (<=.f64 y.im #s(literal 23999999999999999053586637635305902245862533314639472182561634131936008762652473093015235370984486459118299921010831013808223421559783613792256 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (-.f64 (.f64 x.im y.re) (.f64 x.re y.im))) (/.f64 (-.f64 (.f64 x.im (/.f64 y.re y.im)) x.re) y.im)))))
(if (<=.f64 y.im #s(literal -45999999999999997912313441894818644450719632530963951746372507341656010690543128412160 binary64)) (/.f64 (-.f64 (.f64 x.im (/.f64 y.re y.im)) x.re) y.im) (if (<=.f64 y.im #s(literal -7139404462934685/1322111937580497197903830616065542079656809365928562438569297590548811582472622691650378420879430569695182424050046716608512 binary64)) (/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im))) (if (<=.f64 y.im #s(literal 1340008503257495/109836762562089755439710412785302291476310964802292886550311415346968690934362496833960954250583272879636740982263693728593951807995466301001184452657840914432 binary64)) (/.f64 (-.f64 x.im (/.f64 (.f64 y.im x.re) y.re)) y.re) (if (<=.f64 y.im #s(literal 5899999999999999880160267092215128523234752010775127708927467616671596912065460695531500399697489275365540645626571238216755110070766622316953600 binary64)) (/.f64 (-.f64 (.f64 x.im y.re) (.f64 x.re y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im))) (/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)))))
(if (<=.f64 y.re #s(literal -1450000000000000070134086190530082020244111884223306242927446036139904631156136611359490048 binary64)) (/.f64 (-.f64 x.im (.f64 y.im (/.f64 x.re y.re))) y.re) (if (<=.f64 y.re #s(literal 28500000000000 binary64)) (/.f64 (-.f64 (.f64 x.im (/.f64 y.re y.im)) x.re) y.im) (/.f64 (-.f64 x.im (*.f64 y.im (/.f64 x.re y.re))) y.re)))
(if (<=.f64 y.im #s(literal -490000000000000013684115844890624 binary64)) (/.f64 (neg.f64 x.re) y.im) (if (<=.f64 y.im #s(literal 5800000000000000000000 binary64)) (/.f64 (-.f64 x.im (/.f64 (*.f64 y.im x.re) y.re)) y.re) (/.f64 (neg.f64 x.re) y.im)))
(if (<=.f64 y.im #s(literal -1179999999999999970366417702915932160 binary64)) (/.f64 (neg.f64 x.re) y.im) (if (<=.f64 y.im #s(literal 5700000000000000000000 binary64)) (/.f64 (-.f64 x.im (*.f64 x.re (/.f64 y.im y.re))) y.re) (/.f64 (neg.f64 x.re) y.im)))
(if (<=.f64 y.re #s(literal -3700000000000000254080646983751046770134342136206721846916967204406139825437424021724660714504606158514475237376 binary64)) (/.f64 x.im y.re) (if (<=.f64 y.re #s(literal 45000 binary64)) (/.f64 (neg.f64 x.re) y.im) (/.f64 x.im y.re)))
(/.f64 x.im y.re)

Outputs
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (*.f64 x.re (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re)))))
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (*.f64 (neg.f64 x.re) (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (hypot.f64 y.im y.re))))
(fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (*.f64 x.re (/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (neg.f64 (hypot.f64 y.im y.re)))))
(if (<=.f64 y.im #s(literal -32999999999999997249776332787058856563389550787816691029712951468495095550666886126180961904185922103903132241300307489303790822903901899499832115222575287631872 binary64)) (/.f64 (-.f64 (.f64 x.im (/.f64 y.re y.im)) x.re) y.im) (if (<=.f64 y.im #s(literal -8931394244144417/11908525658859223294760121268437066290850060053501019099651935423375594096449911575776314174894302258147533153997065059263030913083222523904 binary64)) (fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))) (if (<=.f64 y.im #s(literal 5045810931759287/531137992816767098689588206552468627329593117727031923199444138200403559860852242739162502265229285668889329486246501015346579337652707239409519978766587351943831270835393219031728128 binary64)) (/.f64 (-.f64 x.im (/.f64 (.f64 y.im x.re) y.re)) y.re) (if (<=.f64 y.im #s(literal 101999999999999998112099972223808042168996031756788934055833815818951472990672313788201237905287166446205186812816200586527989285559745572604987448441700352 binary64)) (fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (neg.f64 (.f64 x.re (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))))) (/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)))))
(if (<=.f64 y.im #s(literal -32999999999999997249776332787058856563389550787816691029712951468495095550666886126180961904185922103903132241300307489303790822903901899499832115222575287631872 binary64)) (/.f64 (-.f64 (.f64 x.im (/.f64 y.re y.im)) x.re) y.im) (if (<=.f64 y.im #s(literal -8931394244144417/11908525658859223294760121268437066290850060053501019099651935423375594096449911575776314174894302258147533153997065059263030913083222523904 binary64)) (fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (.f64 (neg.f64 x.re) (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))) (if (<=.f64 y.im #s(literal 5045810931759287/531137992816767098689588206552468627329593117727031923199444138200403559860852242739162502265229285668889329486246501015346579337652707239409519978766587351943831270835393219031728128 binary64)) (/.f64 (-.f64 x.im (/.f64 (.f64 y.im x.re) y.re)) y.re) (if (<=.f64 y.im #s(literal 101999999999999998112099972223808042168996031756788934055833815818951472990672313788201237905287166446205186812816200586527989285559745572604987448441700352 binary64)) (fma.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)) (.f64 (neg.f64 x.re) (/.f64 y.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))) (/.f64 (-.f64 (*.f64 x.im (/.f64 y.re y.im)) x.re) y.im)))))
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(/.f64 x.im y.re)

soundness1.5s (11.5%)

Rules

942×	`log1p-expm1-u`
942×	`expm1-log1p-u`
737×	`fma-neg`
621×	`fma-define`
519×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	765	24434
1	1875	20630
2	6283	20614
0	18	161
1	268	151
2	3887	151
0	40	581
1	757	516
0	35	456
1	666	424
0	1718	52445
1	4592	50534
0	37	533
1	636	481

Stop Event

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

Compiler

Compiled 1917 to 515 computations (73.1% saved)

preprocess67.0ms (0.5%)

Compiler: Compiled 880 to 270 computations (69.3% saved)

analyze36.0ms (0.3%)

sample1.9s (14.6%)

preprocess269.0ms (2.1%)

explain320.0ms (2.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify93.0ms (0.7%)

localize53.0ms (0.4%)

series27.0ms (0.2%)

rewrite639.0ms (4.9%)

simplify339.0ms (2.6%)

eval62.0ms (0.5%)

prune94.0ms (0.7%)

simplify554.0ms (4.3%)

localize158.0ms (1.2%)

series94.0ms (0.7%)

rewrite238.0ms (1.8%)

simplify789.0ms (6.1%)

eval296.0ms (2.3%)

prune329.0ms (2.5%)

simplify94.0ms (0.7%)

localize145.0ms (1.1%)

series157.0ms (1.2%)

rewrite342.0ms (2.6%)

simplify519.0ms (4%)

eval345.0ms (2.7%)

prune329.0ms (2.5%)

simplify174.0ms (1.3%)

localize132.0ms (1%)

series129.0ms (1%)

rewrite242.0ms (1.9%)

simplify437.0ms (3.4%)

eval508.0ms (3.9%)

prune366.0ms (2.8%)

regimes71.0ms (0.5%)

regimes113.0ms (0.9%)

regimes16.0ms (0.1%)

regimes184.0ms (1.4%)

regimes34.0ms (0.3%)

regimes32.0ms (0.2%)

regimes23.0ms (0.2%)

regimes6.0ms (0%)

regimes10.0ms (0.1%)

regimes19.0ms (0.1%)

bsearch161.0ms (1.2%)

bsearch64.0ms (0.5%)

bsearch133.0ms (1%)

bsearch83.0ms (0.6%)

bsearch35.0ms (0.3%)

bsearch102.0ms (0.8%)

bsearch34.0ms (0.3%)

bsearch82.0ms (0.6%)

simplify32.0ms (0.2%)

soundness1.5s (11.5%)

preprocess67.0ms (0.5%)

end0.0ms (0%)

Profiling