Metrics for _divideComplex, real part

analyze27.0ms (0.2%)

Memory

-11.6MiB live, 39.7MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 17 to 13 computations (23.5% saved)

sample5.3s (35.6%)

Memory

-1.3MiB live, 1 140.4MiB allocated

Samples

4.8s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 440.0ms

ival-mult: 316.0ms (71.8% of total)

ival-add: 66.0ms (15% of total)

ival-div: 49.0ms (11.1% of total)

ival-true: 6.0ms (1.4% of total)

ival-assert: 3.0ms (0.7% of total)

Bogosity

preprocess486.0ms (3.3%)

Memory

-15.5MiB live, 165.3MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Calls

Call 1

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

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

explain445.0ms (3%)

Memory

-5.3MiB live, 312.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
116	-	1	(1.4617909123575912e-257 1.339546800514274e+63 1.090890036018098e-237 2.4653428480593995e-161)	`(/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))`
3	-	0	-	`(+.f64 (.f64 x.re y.re) (.f64 x.im y.im))`
0	-	0	-	`(+.f64 (.f64 y.re y.re) (.f64 y.im y.im))`
0	-	0	-	`(*.f64 y.re y.re)`
0	-	0	-	`(*.f64 x.re y.re)`
0	-	0	-	`(*.f64 y.im y.im)`
0	-	0	-	`x.re`
0	-	0	-	`y.re`
0	-	0	-	`y.im`
0	-	0	-	`(*.f64 x.im y.im)`
0	-	0	-	`x.im`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))`	o/o	53	0
↳	`(+.f64 (.f64 x.re y.re) (.f64 x.im y.im))`	overflow	67
↳	`(*.f64 x.im y.im)`	overflow	29
↳	`(*.f64 x.re y.re)`	overflow	44
↳	`(*.f64 y.re y.re)`	overflow	77
↳	`(*.f64 y.im y.im)`	overflow	69
↳	`(+.f64 (.f64 y.re y.re) (.f64 y.im y.im))`	overflow	127
`/.f64`	`(/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))`	n/o	38	0
↳	`(*.f64 y.re y.re)`	overflow	77
↳	`(*.f64 y.im y.im)`	overflow	69
↳	`(+.f64 (.f64 y.re y.re) (.f64 y.im y.im))`	overflow	127
`/.f64`	`(/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))`	o/n	14	0
↳	`(+.f64 (.f64 x.re y.re) (.f64 x.im y.im))`	overflow	67
↳	`(*.f64 x.im y.im)`	overflow	29
↳	`(*.f64 x.re y.re)`	overflow	44
`/.f64`	`(/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))`	n/u	5	0
↳	`(*.f64 y.re y.re)`	underflow	59
↳	`(*.f64 y.im y.im)`	underflow	58
↳	`(+.f64 (.f64 y.re y.re) (.f64 y.im y.im))`	underflow	10
`+.f64`	`(+.f64 (.f64 x.re y.re) (.f64 x.im y.im))`	nan-rescue	3	0
↳	`(*.f64 x.re y.re)`	overflow	44
↳	`(*.f64 x.im y.im)`	overflow	29
`/.f64`	`(/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))`	u/u	3	0
↳	`(+.f64 (.f64 x.re y.re) (.f64 x.im y.im))`	underflow	5
↳	`(*.f64 x.im y.im)`	underflow	31
↳	`(*.f64 x.re y.re)`	underflow	30
↳	`(*.f64 y.re y.re)`	underflow	59
↳	`(*.f64 y.im y.im)`	underflow	58
↳	`(+.f64 (.f64 y.re y.re) (.f64 y.im y.im))`	underflow	10
`/.f64`	`(/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))`	u/n	2	0
↳	`(+.f64 (.f64 x.re y.re) (.f64 x.im y.im))`	underflow	5
↳	`(*.f64 x.im y.im)`	underflow	31
↳	`(*.f64 x.re y.re)`	underflow	30

Confusion

	Predicted +	Predicted -
+	115	1
-	0	140

Precision

1.0

Recall

0.9913793103448276

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	115	0	1
-	0	0	140

Precision?

1.0

Recall?

0.9913793103448276

Freqs

test

number	freq
0	141
1	112
2	3

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

194.0ms

512×

valid

Compiler

Compiled 132 to 48 computations (63.6% saved)

Precisions

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

ival-div: 19.0ms (52% of total)

ival-mult: 13.0ms (35.6% of total)

ival-add: 4.0ms (11% of total)

ival-true: 1.0ms (2.7% of total)

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

eval0.0ms (0%)

Memory: 0.7MiB live, 0.7MiB allocated
Compiler: Compiled 17 to 9 computations (47.1% saved)

prune1.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.5%	(/.f64 (fma.f64 x.re y.re (.f64 x.im y.im)) (fma.f64 y.re y.re (.f64 y.im y.im)))
▶	56.5%	(/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))

Compiler

Compiled 36 to 20 computations (44.4% saved)

simplify8.0ms (0.1%)

Memory

19.6MiB live, 19.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Calls

Call 1

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

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

localize116.0ms (0.8%)

Memory

-6.7MiB live, 69.1MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y.im y.im)
✓	accuracy	100.0%	(*.f64 x.im y.im)
✓	accuracy	98.8%	(fma.f64 x.re y.re (*.f64 x.im y.im))
✓	accuracy	56.9%	(/.f64 (fma.f64 x.re y.re (.f64 x.im y.im)) (fma.f64 y.re y.re (.f64 y.im y.im)))
✓	accuracy	100.0%	(*.f64 x.re y.re)
✓	accuracy	100.0%	(*.f64 x.im y.im)
✓	accuracy	98.9%	(+.f64 (.f64 x.re y.re) (.f64 x.im y.im))
✓	accuracy	56.9%	(/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))

Samples

101.0ms

256×

valid

Compiler

Compiled 82 to 13 computations (84.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 89.0ms

ival-mult: 86.0ms (96.1% of total)

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

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

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

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

series32.0ms (0.2%)

Memory

9.7MiB live, 50.3MiB allocated

Counts

9 → 240

Calls

Call 1

Inputs
#s(alt (*.f64 x.re y.re) (patch) () ())
#s(alt (*.f64 x.im y.im) (patch) () ())
#s(alt (*.f64 y.re y.re) (patch) () ())
#s(alt (*.f64 y.im y.im) (patch) () ())
#s(alt (/.f64 (fma.f64 x.re y.re (.f64 x.im y.im)) (fma.f64 y.re y.re (.f64 y.im y.im))) (patch) () ())
#s(alt (fma.f64 x.re y.re (*.f64 x.im y.im)) (patch) () ())
#s(alt (fma.f64 y.re y.re (*.f64 y.im y.im)) (patch) () ())
#s(alt (/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im))) (patch) () ())
#s(alt (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (patch) () ())

Outputs
#s(alt (pow.f64 y.re #s(literal 2 binary64)) (taylor () 0 y.re) (#s(alt (*.f64 y.re y.re) (patch) () ())) ())
#s(alt (pow.f64 y.re #s(literal 2 binary64)) (taylor () 0 y.re) (#s(alt (*.f64 y.re y.re) (patch) () ())) ())
#s(alt (pow.f64 y.re #s(literal 2 binary64)) (taylor () 0 y.re) (#s(alt (*.f64 y.re y.re) (patch) () ())) ())
#s(alt (pow.f64 y.re #s(literal 2 binary64)) (taylor () 0 y.re) (#s(alt (*.f64 y.re y.re) (patch) () ())) ())
#s(alt (pow.f64 y.re #s(literal 2 binary64)) (taylor () inf y.re) (#s(alt (*.f64 y.re y.re) (patch) () ())) ())
#s(alt (pow.f64 y.re #s(literal 2 binary64)) (taylor () inf y.re) (#s(alt (*.f64 y.re y.re) (patch) () ())) ())
#s(alt (pow.f64 y.re #s(literal 2 binary64)) (taylor () inf y.re) (#s(alt (*.f64 y.re y.re) (patch) () ())) ())
#s(alt (pow.f64 y.re #s(literal 2 binary64)) (taylor () inf y.re) (#s(alt (*.f64 y.re y.re) (patch) () ())) ())
#s(alt (pow.f64 y.re #s(literal 2 binary64)) (taylor () -inf y.re) (#s(alt (*.f64 y.re y.re) (patch) () ())) ())
#s(alt (pow.f64 y.re #s(literal 2 binary64)) (taylor () -inf y.re) (#s(alt (*.f64 y.re y.re) (patch) () ())) ())
#s(alt (pow.f64 y.re #s(literal 2 binary64)) (taylor () -inf y.re) (#s(alt (*.f64 y.re y.re) (patch) () ())) ())
#s(alt (pow.f64 y.re #s(literal 2 binary64)) (taylor () -inf y.re) (#s(alt (*.f64 y.re y.re) (patch) () ())) ())
#s(alt (pow.f64 y.im #s(literal 2 binary64)) (taylor () 0 y.im) (#s(alt (*.f64 y.im y.im) (patch) () ())) ())
#s(alt (pow.f64 y.im #s(literal 2 binary64)) (taylor () 0 y.im) (#s(alt (*.f64 y.im y.im) (patch) () ())) ())
#s(alt (pow.f64 y.im #s(literal 2 binary64)) (taylor () 0 y.im) (#s(alt (*.f64 y.im y.im) (patch) () ())) ())
#s(alt (pow.f64 y.im #s(literal 2 binary64)) (taylor () 0 y.im) (#s(alt (*.f64 y.im y.im) (patch) () ())) ())
#s(alt (pow.f64 y.im #s(literal 2 binary64)) (taylor () inf y.im) (#s(alt (*.f64 y.im y.im) (patch) () ())) ())
#s(alt (pow.f64 y.im #s(literal 2 binary64)) (taylor () inf y.im) (#s(alt (*.f64 y.im y.im) (patch) () ())) ())
#s(alt (pow.f64 y.im #s(literal 2 binary64)) (taylor () inf y.im) (#s(alt (*.f64 y.im y.im) (patch) () ())) ())
#s(alt (pow.f64 y.im #s(literal 2 binary64)) (taylor () inf y.im) (#s(alt (*.f64 y.im y.im) (patch) () ())) ())
#s(alt (pow.f64 y.im #s(literal 2 binary64)) (taylor () -inf y.im) (#s(alt (*.f64 y.im y.im) (patch) () ())) ())
#s(alt (pow.f64 y.im #s(literal 2 binary64)) (taylor () -inf y.im) (#s(alt (*.f64 y.im y.im) (patch) () ())) ())
#s(alt (pow.f64 y.im #s(literal 2 binary64)) (taylor () -inf y.im) (#s(alt (*.f64 y.im y.im) (patch) () ())) ())
#s(alt (pow.f64 y.im #s(literal 2 binary64)) (taylor () -inf y.im) (#s(alt (*.f64 y.im y.im) (patch) () ())) ())
#s(alt (/.f64 (.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (taylor () 0 x.re) (#s(alt (/.f64 (fma.f64 x.re y.re (.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im))) (patch) () ())) ())
#s(alt (+.f64 (/.f64 (.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (taylor () 0 x.re) (#s(alt (/.f64 (fma.f64 x.re y.re (.f64 x.im y.im)) (fma.f64 y.re y.re (.f64 y.im y.im))) (patch) () ())) ())
#s(alt (+.f64 (/.f64 (.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (taylor () 0 x.re) (#s(alt (/.f64 (fma.f64 x.re y.re (.f64 x.im y.im)) (fma.f64 y.re y.re (.f64 y.im y.im))) (patch) () ())) ())
#s(alt (+.f64 (/.f64 (.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (taylor () 0 x.re) (#s(alt (/.f64 (fma.f64 x.re y.re (.f64 x.im y.im)) (fma.f64 y.re y.re (.f64 y.im y.im))) (patch) () ())) ())
#s(alt (/.f64 (.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (taylor () inf x.re) (#s(alt (/.f64 (fma.f64 x.re y.re (.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im))) (patch) () ())) ())
#s(alt (.f64 x.re (+.f64 (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (.f64 x.im y.im) (.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (taylor () inf x.re) (#s(alt (/.f64 (fma.f64 x.re y.re (.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im))) (patch) () ())) ())
#s(alt (.f64 x.re (+.f64 (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (.f64 x.im y.im) (.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (taylor () inf x.re) (#s(alt (/.f64 (fma.f64 x.re y.re (.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im))) (patch) () ())) ())
#s(alt (.f64 x.re (+.f64 (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (.f64 x.im y.im) (.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (taylor () inf x.re) (#s(alt (/.f64 (fma.f64 x.re y.re (.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im))) (patch) () ())) ())
#s(alt (/.f64 (.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (taylor () -inf x.re) (#s(alt (/.f64 (fma.f64 x.re y.re (.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im))) (patch) () ())) ())
#s(alt (.f64 #s(literal -1 binary64) (.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.im) (.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))) (taylor () -inf x.re) (#s(alt (/.f64 (fma.f64 x.re y.re (.f64 x.im y.im)) (fma.f64 y.re y.re (.f64 y.im y.im))) (patch) () ())) ())
#s(alt (.f64 #s(literal -1 binary64) (.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.im) (.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))) (taylor () -inf x.re) (#s(alt (/.f64 (fma.f64 x.re y.re (.f64 x.im y.im)) (fma.f64 y.re y.re (.f64 y.im y.im))) (patch) () ())) ())
#s(alt (.f64 #s(literal -1 binary64) (.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.im) (.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))) (taylor () -inf x.re) (#s(alt (/.f64 (fma.f64 x.re y.re (.f64 x.im y.im)) (fma.f64 y.re y.re (.f64 y.im y.im))) (patch) () ())) ())
#s(alt (/.f64 x.im y.im) (taylor () 0 y.re) (#s(alt (/.f64 (fma.f64 x.re y.re (.f64 x.im y.im)) (fma.f64 y.re y.re (.f64 y.im y.im))) (patch) () ())) ())
#s(alt (+.f64 (/.f64 x.im y.im) (/.f64 (.f64 x.re y.re) (pow.f64 y.im #s(literal 2 binary64)))) (taylor () 0 y.re) (#s(alt (/.f64 (fma.f64 x.re y.re (.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im))) (patch) () ())) ())
#s(alt (+.f64 (.f64 y.re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.re) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 x.im y.im)) (taylor () 0 y.re) (#s(alt (/.f64 (fma.f64 x.re y.re (.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im))) (patch) () ())) ())
#s(alt (+.f64 (.f64 y.re (+.f64 (.f64 y.re (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.re) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 x.im (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 x.im y.im)) (taylor () 0 y.re) (#s(alt (/.f64 (fma.f64 x.re y.re (.f64 x.im y.im)) (fma.f64 y.re y.re (.f64 y.im y.im))) (patch) () ())) ())
#s(alt (/.f64 x.re y.re) (taylor () inf y.re) (#s(alt (/.f64 (fma.f64 x.re y.re (.f64 x.im y.im)) (fma.f64 y.re y.re (.f64 y.im y.im))) (patch) () ())) ())
#s(alt (/.f64 (+.f64 x.re (/.f64 (.f64 x.im y.im) y.re)) y.re) (taylor () inf y.re) (#s(alt (/.f64 (fma.f64 x.re y.re (.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im))) (patch) () ())) ())
#s(alt (/.f64 (+.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (.f64 x.im y.im) y.re))) y.re) (taylor () inf y.re) (#s(alt (/.f64 (fma.f64 x.re y.re (.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im))) (patch) () ())) ())
#s(alt (/.f64 (-.f64 (+.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 (.f64 x.im y.im) y.re))) (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) y.re) (taylor () inf y.re) (#s(alt (/.f64 (fma.f64 x.re y.re (.f64 x.im y.im)) (fma.f64 y.re y.re (.f64 y.im y.im))) (patch) () ())) ())
#s(alt (/.f64 x.re y.re) (taylor () -inf y.re) (#s(alt (/.f64 (fma.f64 x.re y.re (.f64 x.im y.im)) (fma.f64 y.re y.re (.f64 y.im y.im))) (patch) () ())) ())
#s(alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.im) y.re))) y.re)) (taylor () -inf y.re) (#s(alt (/.f64 (fma.f64 x.re y.re (.f64 x.im y.im)) (fma.f64 y.re y.re (.f64 y.im y.im))) (patch) () ())) ())
#s(alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) y.re)) (.f64 x.im y.im)) y.re))) y.re)) (taylor () -inf y.re) (#s(alt (/.f64 (fma.f64 x.re y.re (.f64 x.im y.im)) (fma.f64 y.re y.re (.f64 y.im y.im))) (patch) () ())) ())
#s(alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 3 binary64))) y.re) (.f64 #s(literal -1 binary64) (.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) y.re)) (.f64 x.im y.im)) y.re))) y.re)) (taylor () -inf y.re) (#s(alt (/.f64 (fma.f64 x.re y.re (.f64 x.im y.im)) (fma.f64 y.re y.re (.f64 y.im y.im))) (patch) () ())) ())
#s(alt (/.f64 (.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (taylor () 0 x.im) (#s(alt (/.f64 (fma.f64 x.re y.re (.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im))) (patch) () ())) ())
#s(alt (+.f64 (/.f64 (.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (taylor () 0 x.im) (#s(alt (/.f64 (fma.f64 x.re y.re (.f64 x.im y.im)) (fma.f64 y.re y.re (.f64 y.im y.im))) (patch) () ())) ())
#s(alt (+.f64 (/.f64 (.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (taylor () 0 x.im) (#s(alt (/.f64 (fma.f64 x.re y.re (.f64 x.im y.im)) (fma.f64 y.re y.re (.f64 y.im y.im))) (patch) () ())) ())
#s(alt (+.f64 (/.f64 (.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (taylor () 0 x.im) (#s(alt (/.f64 (fma.f64 x.re y.re (.f64 x.im y.im)) (fma.f64 y.re y.re (.f64 y.im y.im))) (patch) () ())) ())
#s(alt (/.f64 (.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (taylor () inf x.im) (#s(alt (/.f64 (fma.f64 x.re y.re (.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im))) (patch) () ())) ())
#s(alt (.f64 x.im (+.f64 (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (.f64 x.re y.re) (.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (taylor () inf x.im) (#s(alt (/.f64 (fma.f64 x.re y.re (.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im))) (patch) () ())) ())
#s(alt (.f64 x.im (+.f64 (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (.f64 x.re y.re) (.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (taylor () inf x.im) (#s(alt (/.f64 (fma.f64 x.re y.re (.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im))) (patch) () ())) ())
#s(alt (.f64 x.im (+.f64 (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (.f64 x.re y.re) (.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (taylor () inf x.im) (#s(alt (/.f64 (fma.f64 x.re y.re (.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im))) (patch) () ())) ())
#s(alt (/.f64 (.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (taylor () -inf x.im) (#s(alt (/.f64 (fma.f64 x.re y.re (.f64 x.im y.im)) (fma.f64 y.re y.re (*.f64 y.im y.im))) (patch) () ())) ())
#s(alt (.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.re) (.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))) (taylor () -inf x.im) (#s(alt (/.f64 (fma.f64 x.re y.re (.f64 x.im y.im)) (fma.f64 y.re y.re (.f64 y.im y.im))) (patch) () ())) ())
#s(alt (.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.re) (.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))) (taylor () -inf x.im) (#s(alt (/.f64 (fma.f64 x.re y.re (.f64 x.im y.im)) (fma.f64 y.re y.re (.f64 y.im y.im))) (patch) () ())) ())
#s(alt (.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.re) (.f64 x.im (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))) (taylor () -inf x.im) (#s(alt (/.f64 (fma.f64 x.re y.re (.f64 x.im y.im)) (fma.f64 y.re y.re (.f64 y.im y.im))) (patch) () ())) ())
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#s(alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.im) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (.f64 x.re (pow.f64 y.re #s(literal 3 binary64))) y.im) (.f64 #s(literal -1 binary64) (.f64 x.im (pow.f64 y.re #s(literal 2 binary64))))) y.im)) (.f64 x.re y.re)) y.im))) y.im)) (taylor () -inf y.im) (#s(alt (/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im))) (patch) () ())) ())
#s(alt (.f64 x.im y.im) (taylor () 0 x.re) (#s(alt (+.f64 (.f64 x.re y.re) (*.f64 x.im y.im)) (patch) () ())) ())
#s(alt (+.f64 (.f64 x.im y.im) (.f64 x.re y.re)) (taylor () 0 x.re) (#s(alt (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (patch) () ())) ())
#s(alt (+.f64 (.f64 x.im y.im) (.f64 x.re y.re)) (taylor () 0 x.re) (#s(alt (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (patch) () ())) ())
#s(alt (+.f64 (.f64 x.im y.im) (.f64 x.re y.re)) (taylor () 0 x.re) (#s(alt (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (patch) () ())) ())
#s(alt (.f64 x.re y.re) (taylor () inf x.re) (#s(alt (+.f64 (.f64 x.re y.re) (*.f64 x.im y.im)) (patch) () ())) ())
#s(alt (.f64 x.re (+.f64 y.re (/.f64 (.f64 x.im y.im) x.re))) (taylor () inf x.re) (#s(alt (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (patch) () ())) ())
#s(alt (.f64 x.re (+.f64 y.re (/.f64 (.f64 x.im y.im) x.re))) (taylor () inf x.re) (#s(alt (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (patch) () ())) ())
#s(alt (.f64 x.re (+.f64 y.re (/.f64 (.f64 x.im y.im) x.re))) (taylor () inf x.re) (#s(alt (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (patch) () ())) ())
#s(alt (.f64 x.re y.re) (taylor () -inf x.re) (#s(alt (+.f64 (.f64 x.re y.re) (*.f64 x.im y.im)) (patch) () ())) ())
#s(alt (.f64 #s(literal -1 binary64) (.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) y.re) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.im) x.re))))) (taylor () -inf x.re) (#s(alt (+.f64 (.f64 x.re y.re) (*.f64 x.im y.im)) (patch) () ())) ())
#s(alt (.f64 #s(literal -1 binary64) (.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) y.re) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.im) x.re))))) (taylor () -inf x.re) (#s(alt (+.f64 (.f64 x.re y.re) (*.f64 x.im y.im)) (patch) () ())) ())
#s(alt (.f64 #s(literal -1 binary64) (.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) y.re) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.im) x.re))))) (taylor () -inf x.re) (#s(alt (+.f64 (.f64 x.re y.re) (*.f64 x.im y.im)) (patch) () ())) ())
#s(alt (.f64 x.im y.im) (taylor () 0 y.re) (#s(alt (+.f64 (.f64 x.re y.re) (*.f64 x.im y.im)) (patch) () ())) ())
#s(alt (+.f64 (.f64 x.im y.im) (.f64 x.re y.re)) (taylor () 0 y.re) (#s(alt (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (patch) () ())) ())
#s(alt (+.f64 (.f64 x.im y.im) (.f64 x.re y.re)) (taylor () 0 y.re) (#s(alt (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (patch) () ())) ())
#s(alt (+.f64 (.f64 x.im y.im) (.f64 x.re y.re)) (taylor () 0 y.re) (#s(alt (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (patch) () ())) ())
#s(alt (.f64 x.re y.re) (taylor () inf y.re) (#s(alt (+.f64 (.f64 x.re y.re) (*.f64 x.im y.im)) (patch) () ())) ())
#s(alt (.f64 y.re (+.f64 x.re (/.f64 (.f64 x.im y.im) y.re))) (taylor () inf y.re) (#s(alt (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (patch) () ())) ())
#s(alt (.f64 y.re (+.f64 x.re (/.f64 (.f64 x.im y.im) y.re))) (taylor () inf y.re) (#s(alt (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (patch) () ())) ())
#s(alt (.f64 y.re (+.f64 x.re (/.f64 (.f64 x.im y.im) y.re))) (taylor () inf y.re) (#s(alt (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (patch) () ())) ())
#s(alt (.f64 x.re y.re) (taylor () -inf y.re) (#s(alt (+.f64 (.f64 x.re y.re) (*.f64 x.im y.im)) (patch) () ())) ())
#s(alt (.f64 #s(literal -1 binary64) (.f64 y.re (+.f64 (.f64 #s(literal -1 binary64) x.re) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.im) y.re))))) (taylor () -inf y.re) (#s(alt (+.f64 (.f64 x.re y.re) (*.f64 x.im y.im)) (patch) () ())) ())
#s(alt (.f64 #s(literal -1 binary64) (.f64 y.re (+.f64 (.f64 #s(literal -1 binary64) x.re) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.im) y.re))))) (taylor () -inf y.re) (#s(alt (+.f64 (.f64 x.re y.re) (*.f64 x.im y.im)) (patch) () ())) ())
#s(alt (.f64 #s(literal -1 binary64) (.f64 y.re (+.f64 (.f64 #s(literal -1 binary64) x.re) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.im) y.re))))) (taylor () -inf y.re) (#s(alt (+.f64 (.f64 x.re y.re) (*.f64 x.im y.im)) (patch) () ())) ())
#s(alt (.f64 x.re y.re) (taylor () 0 x.im) (#s(alt (+.f64 (.f64 x.re y.re) (*.f64 x.im y.im)) (patch) () ())) ())
#s(alt (+.f64 (.f64 x.im y.im) (.f64 x.re y.re)) (taylor () 0 x.im) (#s(alt (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (patch) () ())) ())
#s(alt (+.f64 (.f64 x.im y.im) (.f64 x.re y.re)) (taylor () 0 x.im) (#s(alt (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (patch) () ())) ())
#s(alt (+.f64 (.f64 x.im y.im) (.f64 x.re y.re)) (taylor () 0 x.im) (#s(alt (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (patch) () ())) ())
#s(alt (.f64 x.im y.im) (taylor () inf x.im) (#s(alt (+.f64 (.f64 x.re y.re) (*.f64 x.im y.im)) (patch) () ())) ())
#s(alt (.f64 x.im (+.f64 y.im (/.f64 (.f64 x.re y.re) x.im))) (taylor () inf x.im) (#s(alt (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (patch) () ())) ())
#s(alt (.f64 x.im (+.f64 y.im (/.f64 (.f64 x.re y.re) x.im))) (taylor () inf x.im) (#s(alt (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (patch) () ())) ())
#s(alt (.f64 x.im (+.f64 y.im (/.f64 (.f64 x.re y.re) x.im))) (taylor () inf x.im) (#s(alt (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (patch) () ())) ())
#s(alt (.f64 x.im y.im) (taylor () -inf x.im) (#s(alt (+.f64 (.f64 x.re y.re) (*.f64 x.im y.im)) (patch) () ())) ())
#s(alt (.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) y.im) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.re) x.im))))) (taylor () -inf x.im) (#s(alt (+.f64 (.f64 x.re y.re) (*.f64 x.im y.im)) (patch) () ())) ())
#s(alt (.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) y.im) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.re) x.im))))) (taylor () -inf x.im) (#s(alt (+.f64 (.f64 x.re y.re) (*.f64 x.im y.im)) (patch) () ())) ())
#s(alt (.f64 #s(literal -1 binary64) (.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) y.im) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.re) x.im))))) (taylor () -inf x.im) (#s(alt (+.f64 (.f64 x.re y.re) (*.f64 x.im y.im)) (patch) () ())) ())
#s(alt (.f64 x.re y.re) (taylor () 0 y.im) (#s(alt (+.f64 (.f64 x.re y.re) (*.f64 x.im y.im)) (patch) () ())) ())
#s(alt (+.f64 (.f64 x.im y.im) (.f64 x.re y.re)) (taylor () 0 y.im) (#s(alt (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (patch) () ())) ())
#s(alt (+.f64 (.f64 x.im y.im) (.f64 x.re y.re)) (taylor () 0 y.im) (#s(alt (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (patch) () ())) ())
#s(alt (+.f64 (.f64 x.im y.im) (.f64 x.re y.re)) (taylor () 0 y.im) (#s(alt (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (patch) () ())) ())
#s(alt (.f64 x.im y.im) (taylor () inf y.im) (#s(alt (+.f64 (.f64 x.re y.re) (*.f64 x.im y.im)) (patch) () ())) ())
#s(alt (.f64 y.im (+.f64 x.im (/.f64 (.f64 x.re y.re) y.im))) (taylor () inf y.im) (#s(alt (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (patch) () ())) ())
#s(alt (.f64 y.im (+.f64 x.im (/.f64 (.f64 x.re y.re) y.im))) (taylor () inf y.im) (#s(alt (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (patch) () ())) ())
#s(alt (.f64 y.im (+.f64 x.im (/.f64 (.f64 x.re y.re) y.im))) (taylor () inf y.im) (#s(alt (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (patch) () ())) ())
#s(alt (.f64 x.im y.im) (taylor () -inf y.im) (#s(alt (+.f64 (.f64 x.re y.re) (*.f64 x.im y.im)) (patch) () ())) ())
#s(alt (.f64 #s(literal -1 binary64) (.f64 y.im (+.f64 (.f64 #s(literal -1 binary64) x.im) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.re) y.im))))) (taylor () -inf y.im) (#s(alt (+.f64 (.f64 x.re y.re) (*.f64 x.im y.im)) (patch) () ())) ())
#s(alt (.f64 #s(literal -1 binary64) (.f64 y.im (+.f64 (.f64 #s(literal -1 binary64) x.im) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.re) y.im))))) (taylor () -inf y.im) (#s(alt (+.f64 (.f64 x.re y.re) (*.f64 x.im y.im)) (patch) () ())) ())
#s(alt (.f64 #s(literal -1 binary64) (.f64 y.im (+.f64 (.f64 #s(literal -1 binary64) x.im) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.re) y.im))))) (taylor () -inf y.im) (#s(alt (+.f64 (.f64 x.re y.re) (*.f64 x.im y.im)) (patch) () ())) ())

Calls

72 calls:

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

rewrite355.0ms (2.4%)

Memory

-23.9MiB live, 367.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

9 → 269

Calls

Call 1

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

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

simplify244.0ms (1.7%)

Memory

9.3MiB live, 491.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

509 → 318

Calls

Call 1

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

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

eval39.0ms (0.3%)

Memory: 20.0MiB live, 98.4MiB allocated
Compiler: Compiled 6 624 to 1 165 computations (82.4% saved)

prune121.0ms (0.8%)

Memory

-26.4MiB live, 210.8MiB allocated

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	333	13	346
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	334	14	348

Accuracy

100.0%

Counts

348 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	56.5%	(/.f64 (fma.f64 y.re x.re (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
	54.6%	(/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) y.re)
✓	56.5%	(/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
	52.6%	(/.f64 (+.f64 x.re (/.f64 (*.f64 y.im x.im) y.re)) y.re)
	45.7%	(/.f64 (+.f64 x.re (-.f64 (.f64 y.im (/.f64 x.im y.re)) (.f64 (pow.f64 y.im #s(literal 2 binary64)) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))))) y.re)
▶	48.4%	(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
	52.7%	(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
	42.6%	(/.f64 x.re y.re)
▶	40.8%	(/.f64 x.im y.im)
	48.4%	(+.f64 (/.f64 x.re y.re) (*.f64 x.im (/.f64 y.im (pow.f64 y.re #s(literal 2 binary64)))))
▶	47.0%	(+.f64 (/.f64 x.im y.im) (*.f64 x.re (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))
	71.5%	(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re y.re (.f64 x.im y.im))) #s(literal 2 binary64)) (hypot.f64 y.re y.im)) (/.f64 (cbrt.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))) (hypot.f64 y.re y.im)))
▶	72.3%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (.f64 x.im y.im)) (hypot.f64 y.re y.im)))
▶	36.8%	(*.f64 y.im (/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))

Compiler

Compiled 415 to 247 computations (40.5% saved)

simplify45.0ms (0.3%)

Memory

28.0MiB live, 67.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(hypot.f64 y.re y.im)
✓	cost-diff	0	(pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
✓	cost-diff	0	(*.f64 y.im (/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
✓	cost-diff	0	(/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))
✓	cost-diff	0	(*.f64 x.re (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))))
✓	cost-diff	0	(/.f64 x.im y.im)
✓	cost-diff	192	(+.f64 (/.f64 x.im y.im) (*.f64 x.re (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))
✓	cost-diff	-6272	(+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im))
✓	cost-diff	-6272	(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
	cost-diff	0	(*.f64 x.re y.re)
✓	cost-diff	0	(/.f64 (*.f64 x.re y.re) y.im)
✓	cost-diff	0	(/.f64 x.im y.im)
✓	cost-diff	0	(/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))
✓	cost-diff	0	(hypot.f64 y.re y.im)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im))
✓	cost-diff	256	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (.f64 x.im y.im)) (hypot.f64 y.re y.im)))

Rules

141×	`fma-define`
124×	`times-frac`
100×	`associate-r`
69×	`associate-l`
59×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	583
1	61	565
2	101	553
3	206	553
4	367	553
5	515	553
6	629	553
7	741	553
8	775	553
9	822	553
10	863	553

Stop Event

1×

saturated

Calls

Call 1

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

localize84.0ms (0.6%)

Memory

-11.1MiB live, 229.0MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))
✓	accuracy	100.0%	(hypot.f64 y.re y.im)
✓	accuracy	84.9%	(/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
✓	accuracy	80.8%	(*.f64 y.im (/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))
✓	accuracy	100.0%	(/.f64 x.im y.im)
✓	accuracy	97.5%	(+.f64 (/.f64 x.im y.im) (*.f64 x.re (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))))
✓	accuracy	91.4%	(*.f64 x.re (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))))
✓	accuracy	88.8%	(/.f64 y.re (pow.f64 y.im #s(literal 2 binary64)))
✓	accuracy	100.0%	(+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im))
	accuracy	100.0%	(*.f64 x.re y.re)
✓	accuracy	97.7%	(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
✓	accuracy	90.5%	(/.f64 (*.f64 x.re y.re) y.im)
✓	accuracy	100.0%	(/.f64 x.im y.im)
	accuracy	100.0%	(*.f64 x.im y.im)
✓	accuracy	99.6%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (.f64 x.im y.im)) (hypot.f64 y.re y.im)))
	accuracy	98.8%	(fma.f64 x.re y.re (*.f64 x.im y.im))
✓	accuracy	73.3%	(/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))

Samples

55.0ms

256×

valid

Compiler

Compiled 145 to 26 computations (82.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-div: 11.0ms (30.9% of total)

ival-mult: 8.0ms (22.5% of total)

ival-hypot: 8.0ms (22.5% of total)

ival-pow2: 5.0ms (14% of total)

ival-add: 3.0ms (8.4% of total)

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

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

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

series65.0ms (0.4%)

Memory

-7.1MiB live, 189.8MiB allocated

Counts

14 → 402

Calls

Call 1

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

Outputs
#s(alt (/.f64 x.im y.im) (taylor () 0 y.re) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (.f64 x.im y.im)) (hypot.f64 y.re y.im))) (patch) () ())) ())
#s(alt (+.f64 (/.f64 x.im y.im) (/.f64 (.f64 x.re y.re) (pow.f64 y.im #s(literal 2 binary64)))) (taylor () 0 y.re) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))) (patch) () ())) ())
#s(alt (+.f64 (.f64 y.re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.re) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 x.im y.im)) (taylor () 0 y.re) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))) (patch) () ())) ())
#s(alt (+.f64 (.f64 y.re (+.f64 (.f64 y.re (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.re) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 x.im (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 x.im y.im)) (taylor () 0 y.re) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (.f64 x.im y.im)) (hypot.f64 y.re y.im))) (patch) () ())) ())
#s(alt (/.f64 x.re y.re) (taylor () inf y.re) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (.f64 x.im y.im)) (hypot.f64 y.re y.im))) (patch) () ())) ())
#s(alt (/.f64 (+.f64 x.re (/.f64 (.f64 x.im y.im) y.re)) y.re) (taylor () inf y.re) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))) (patch) () ())) ())
#s(alt (/.f64 (+.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (.f64 x.im y.im) y.re))) y.re) (taylor () inf y.re) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (hypot.f64 y.re y.im))) (patch) () ())) ())
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#s(alt (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (taylor () 0 y.re) (#s(alt (/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (patch) () ())) ())
#s(alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))) (taylor () 0 y.re) (#s(alt (/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (patch) () ())) ())
#s(alt (+.f64 (.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 6 binary64))) (/.f64 x.im (pow.f64 y.im #s(literal 4 binary64))))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))) (taylor () 0 y.re) (#s(alt (/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (patch) () ())) ())
#s(alt (+.f64 (.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 y.re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 8 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 x.im (pow.f64 y.im #s(literal 6 binary64)))))) (/.f64 x.im (pow.f64 y.im #s(literal 4 binary64))))) (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64)))) (taylor () 0 y.re) (#s(alt (/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (patch) () ())) ())
#s(alt (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (taylor () inf y.re) (#s(alt (/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (patch) () ())) ())
#s(alt (/.f64 (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64))))) (pow.f64 y.re #s(literal 2 binary64))) (taylor () inf y.re) (#s(alt (/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (patch) () ())) ())
#s(alt (/.f64 (-.f64 (+.f64 x.im (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (pow.f64 y.re #s(literal 2 binary64))) (taylor () inf y.re) (#s(alt (/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (patch) () ())) ())
#s(alt (/.f64 (-.f64 (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 6 binary64))) (pow.f64 y.re #s(literal 6 binary64))))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64))))) (pow.f64 y.re #s(literal 2 binary64))) (taylor () inf y.re) (#s(alt (/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (patch) () ())) ())
#s(alt (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (taylor () -inf y.re) (#s(alt (/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (patch) () ())) ())
#s(alt (/.f64 (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64))))) (pow.f64 y.re #s(literal 2 binary64))) (taylor () -inf y.re) (#s(alt (/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (patch) () ())) ())
#s(alt (/.f64 (-.f64 (+.f64 x.im (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (pow.f64 y.re #s(literal 2 binary64))) (taylor () -inf y.re) (#s(alt (/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (patch) () ())) ())
#s(alt (/.f64 (-.f64 (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 6 binary64))) (pow.f64 y.re #s(literal 6 binary64))))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 4 binary64))) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 (*.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64))))) (pow.f64 y.re #s(literal 2 binary64))) (taylor () -inf y.re) (#s(alt (/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (patch) () ())) ())
#s(alt (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (taylor () 0 y.im) (#s(alt (/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (patch) () ())) ())
#s(alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) (taylor () 0 y.im) (#s(alt (/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (patch) () ())) ())
#s(alt (+.f64 (.f64 (pow.f64 y.im #s(literal 2 binary64)) (-.f64 (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 6 binary64))) (/.f64 x.im (pow.f64 y.re #s(literal 4 binary64))))) (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) (taylor () 0 y.im) (#s(alt (/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (patch) () ())) ())
#s(alt (+.f64 (.f64 (pow.f64 y.im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 y.im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 8 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 x.im (pow.f64 y.re #s(literal 6 binary64)))))) (/.f64 x.im (pow.f64 y.re #s(literal 4 binary64))))) (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) (taylor () 0 y.im) (#s(alt (/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (patch) () ())) ())
#s(alt (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (taylor () inf y.im) (#s(alt (/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (patch) () ())) ())
#s(alt (/.f64 (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))))) (pow.f64 y.im #s(literal 2 binary64))) (taylor () inf y.im) (#s(alt (/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (patch) () ())) ())
#s(alt (/.f64 (-.f64 (+.f64 x.im (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 4 binary64))) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) (pow.f64 y.im #s(literal 2 binary64))) (taylor () inf y.im) (#s(alt (/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (patch) () ())) ())
#s(alt (/.f64 (-.f64 (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 6 binary64))) (pow.f64 y.im #s(literal 6 binary64))))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 4 binary64))) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))))) (pow.f64 y.im #s(literal 2 binary64))) (taylor () inf y.im) (#s(alt (/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (patch) () ())) ())
#s(alt (/.f64 x.im (pow.f64 y.im #s(literal 2 binary64))) (taylor () -inf y.im) (#s(alt (/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (patch) () ())) ())
#s(alt (/.f64 (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))))) (pow.f64 y.im #s(literal 2 binary64))) (taylor () -inf y.im) (#s(alt (/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (patch) () ())) ())
#s(alt (/.f64 (-.f64 (+.f64 x.im (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 4 binary64))) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) (pow.f64 y.im #s(literal 2 binary64))) (taylor () -inf y.im) (#s(alt (/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (patch) () ())) ())
#s(alt (/.f64 (-.f64 (+.f64 x.im (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 6 binary64))) (pow.f64 y.im #s(literal 6 binary64))))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 4 binary64))) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 (*.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64))))) (pow.f64 y.im #s(literal 2 binary64))) (taylor () -inf y.im) (#s(alt (/.f64 x.im (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))) (patch) () ())) ())
#s(alt (pow.f64 y.im #s(literal 2 binary64)) (taylor () 0 y.re) (#s(alt (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (patch) () ())) ())
#s(alt (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))) (taylor () 0 y.re) (#s(alt (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (patch) () ())) ())
#s(alt (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))) (taylor () 0 y.re) (#s(alt (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (patch) () ())) ())
#s(alt (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))) (taylor () 0 y.re) (#s(alt (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (patch) () ())) ())
#s(alt (pow.f64 y.re #s(literal 2 binary64)) (taylor () inf y.re) (#s(alt (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (patch) () ())) ())
#s(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))))) (taylor () inf y.re) (#s(alt (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (patch) () ())) ())
#s(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))))) (taylor () inf y.re) (#s(alt (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (patch) () ())) ())
#s(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))))) (taylor () inf y.re) (#s(alt (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (patch) () ())) ())
#s(alt (pow.f64 y.re #s(literal 2 binary64)) (taylor () -inf y.re) (#s(alt (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (patch) () ())) ())
#s(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))))) (taylor () -inf y.re) (#s(alt (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (patch) () ())) ())
#s(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))))) (taylor () -inf y.re) (#s(alt (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (patch) () ())) ())
#s(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))))) (taylor () -inf y.re) (#s(alt (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (patch) () ())) ())
#s(alt (pow.f64 y.re #s(literal 2 binary64)) (taylor () 0 y.im) (#s(alt (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (patch) () ())) ())
#s(alt (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))) (taylor () 0 y.im) (#s(alt (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (patch) () ())) ())
#s(alt (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))) (taylor () 0 y.im) (#s(alt (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (patch) () ())) ())
#s(alt (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))) (taylor () 0 y.im) (#s(alt (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (patch) () ())) ())
#s(alt (pow.f64 y.im #s(literal 2 binary64)) (taylor () inf y.im) (#s(alt (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (patch) () ())) ())
#s(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))))) (taylor () inf y.im) (#s(alt (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (patch) () ())) ())
#s(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))))) (taylor () inf y.im) (#s(alt (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (patch) () ())) ())
#s(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))))) (taylor () inf y.im) (#s(alt (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (patch) () ())) ())
#s(alt (pow.f64 y.im #s(literal 2 binary64)) (taylor () -inf y.im) (#s(alt (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (patch) () ())) ())
#s(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))))) (taylor () -inf y.im) (#s(alt (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (patch) () ())) ())
#s(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))))) (taylor () -inf y.im) (#s(alt (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (patch) () ())) ())
#s(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))))) (taylor () -inf y.im) (#s(alt (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)) (patch) () ())) ())

Calls

126 calls:

Time	Variable		Point	Expression
4.0ms	y.im	@	inf	(/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
2.0ms	y.re	@	0	(+ x.im (/ (* x.re y.re) y.im))
2.0ms	y.re	@	-inf	(/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im))))
2.0ms	x.im	@	0	(* y.im (/ x.im (pow (sqrt (+ (* y.re y.re) (* y.im y.im))) 2)))
1.0ms	y.re	@	inf	(/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im))))

rewrite262.0ms (1.8%)

Memory

4.9MiB live, 241.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

439×	`log1p-expm1-u`
236×	`expm1-log1p-u`
232×	`add-cube-cbrt`
230×	`add-exp-log`
230×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	411
1	523	399
2	7736	399

Stop Event

1×	node limit

Counts

14 → 479

Calls

Call 1

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

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

simplify364.0ms (2.5%)

Memory

15.4MiB live, 606.0MiB allocated

Algorithm

1×	egg-herbie

Rules

816×	`times-frac`
712×	`fma-define`
392×	`*-commutative`
200×	`neg-sub0`
197×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1556	40582
1	4077	38777

Stop Event

1×	node limit

Counts

881 → 995

Calls

Call 1

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

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

eval392.0ms (2.7%)

Memory: 4.7MiB live, 435.9MiB allocated
Compiler: Compiled 26 611 to 4 162 computations (84.4% saved)

prune348.0ms (2.4%)

Memory

22.1MiB live, 667.3MiB allocated

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	1 290	12	1 302
Fresh	5	3	8
Picked	4	1	5
Done	1	0	1
Total	1 300	16	1 316

Accuracy

100.0%

Counts

1 316 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	23.2%	(/.f64 (/.f64 (*.f64 x.re y.re) y.im) y.im)
	52.6%	(/.f64 (+.f64 x.re (/.f64 (*.f64 y.im x.im) y.re)) y.re)
	45.7%	(/.f64 (+.f64 x.re (-.f64 (.f64 y.im (/.f64 x.im y.re)) (.f64 (pow.f64 y.im #s(literal 2 binary64)) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))))) y.re)
	54.6%	(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
▶	52.7%	(/.f64 (+.f64 x.im (*.f64 (/.f64 y.re y.im) x.re)) y.im)
	52.3%	(/.f64 (+.f64 x.im (*.f64 y.re (/.f64 x.re y.im))) y.im)
▶	26.3%	(/.f64 (*.f64 x.re (/.f64 y.re y.im)) y.im)
▶	42.6%	(/.f64 x.re y.re)
✓	40.8%	(/.f64 x.im y.im)
	52.5%	(/.f64 #s(literal 1 binary64) (/.f64 y.im (fma.f64 x.re (/.f64 y.re y.im) x.im)))
	40.6%	(/.f64 #s(literal 1 binary64) (/.f64 y.im x.im))
▶	72.0%	(/.f64 #s(literal 1 binary64) (.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (.f64 y.im x.im)))))
▶	48.8%	(+.f64 (/.f64 x.im y.im) (*.f64 y.re (/.f64 (/.f64 x.re y.im) y.im)))
	32.0%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (+.f64 (.f64 #s(literal -1 binary64) x.re) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.im) y.re))))
	40.7%	(*.f64 (/.f64 #s(literal 1 binary64) y.im) x.im)
	19.3%	(*.f64 y.im (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))))

Compiler

Compiled 413 to 265 computations (35.8% saved)

simplify57.0ms (0.4%)

Memory

-36.0MiB live, 85.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 x.re y.im)
✓	cost-diff	0	(/.f64 (/.f64 x.re y.im) y.im)
✓	cost-diff	0	(*.f64 y.re (/.f64 (/.f64 x.re y.im) y.im))
	cost-diff	0	(/.f64 x.im y.im)
✓	cost-diff	-6272	(+.f64 x.im (*.f64 (/.f64 y.re y.im) x.re))
✓	cost-diff	-6272	(/.f64 (+.f64 x.im (*.f64 (/.f64 y.re y.im) x.re)) y.im)
✓	cost-diff	0	(/.f64 y.re y.im)
✓	cost-diff	0	(*.f64 (/.f64 y.re y.im) x.re)
✓	cost-diff	0	(/.f64 y.re y.im)
✓	cost-diff	0	(*.f64 x.re (/.f64 y.re y.im))
✓	cost-diff	0	(/.f64 (*.f64 x.re (/.f64 y.re y.im)) y.im)
✓	cost-diff	0	(/.f64 x.re y.re)
✓	cost-diff	0	(/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (*.f64 y.im x.im)))
	cost-diff	0	(hypot.f64 y.re y.im)
✓	cost-diff	6400	(.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (.f64 y.im x.im))))
✓	cost-diff	6528	(/.f64 #s(literal 1 binary64) (.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (.f64 y.im x.im)))))

Rules

165×	`times-frac`
131×	`fma-define`
114×	`associate-r`
76×	`associate-*r/`
69×	`associate-l`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	31	603
1	61	583
2	82	583
3	119	577
4	177	577
5	326	577
6	519	577
7	679	577
8	805	577
9	842	577
10	914	577
11	998	577
12	1037	577

Stop Event

1×

saturated

Calls

Call 1

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

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

localize171.0ms (1.2%)

Memory

30.7MiB live, 188.4MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(/.f64 x.im y.im)
✓	accuracy	99.8%	(/.f64 (/.f64 x.re y.im) y.im)
✓	accuracy	97.5%	(+.f64 (/.f64 x.im y.im) (*.f64 y.re (/.f64 (/.f64 x.re y.im) y.im)))
✓	accuracy	90.0%	(*.f64 y.re (/.f64 (/.f64 x.re y.im) y.im))
✓	accuracy	100.0%	(/.f64 y.re y.im)
✓	accuracy	100.0%	(+.f64 x.im (*.f64 (/.f64 y.re y.im) x.re))
✓	accuracy	97.7%	(/.f64 (+.f64 x.im (*.f64 (/.f64 y.re y.im) x.re)) y.im)
✓	accuracy	91.9%	(*.f64 (/.f64 y.re y.im) x.re)
✓	accuracy	100.0%	(/.f64 y.re y.im)
✓	accuracy	96.7%	(/.f64 (*.f64 x.re (/.f64 y.re y.im)) y.im)
✓	accuracy	91.9%	(*.f64 x.re (/.f64 y.re y.im))
✓	accuracy	100.0%	(/.f64 x.re y.re)
✓	accuracy	99.6%	(.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (.f64 y.im x.im))))
✓	accuracy	99.4%	(/.f64 #s(literal 1 binary64) (.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (.f64 y.im x.im)))))
✓	accuracy	98.8%	(fma.f64 y.re x.re (*.f64 y.im x.im))
✓	accuracy	73.2%	(/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (*.f64 y.im x.im)))

Samples

145.0ms

256×

valid

Compiler

Compiled 143 to 26 computations (81.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 128.0ms

ival-div: 111.0ms (87% of total)

ival-mult: 8.0ms (6.3% of total)

ival-hypot: 4.0ms (3.1% of total)

ival-add: 3.0ms (2.4% of total)

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

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

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

series85.0ms (0.6%)

Memory

-1.8MiB live, 160.5MiB allocated

Counts

15 → 504

Calls

Call 1

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

Outputs
#s(alt (/.f64 x.im y.im) (taylor () 0 y.re) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (.f64 y.im x.im))))) (patch) () ())) ())
#s(alt (+.f64 (/.f64 x.im y.im) (/.f64 (.f64 x.re y.re) (pow.f64 y.im #s(literal 2 binary64)))) (taylor () 0 y.re) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (*.f64 y.im x.im))))) (patch) () ())) ())
#s(alt (+.f64 (.f64 y.re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.re) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 x.im y.im)) (taylor () 0 y.re) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (*.f64 y.im x.im))))) (patch) () ())) ())
#s(alt (+.f64 (.f64 y.re (+.f64 (.f64 y.re (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.re) (pow.f64 y.im #s(literal 4 binary64)))) (/.f64 x.im (pow.f64 y.im #s(literal 3 binary64))))) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) (/.f64 x.im y.im)) (taylor () 0 y.re) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (.f64 y.im x.im))))) (patch) () ())) ())
#s(alt (/.f64 x.re y.re) (taylor () inf y.re) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (.f64 y.im x.im))))) (patch) () ())) ())
#s(alt (/.f64 (+.f64 x.re (/.f64 (.f64 x.im y.im) y.re)) y.re) (taylor () inf y.re) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (*.f64 y.im x.im))))) (patch) () ())) ())
#s(alt (/.f64 (+.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (.f64 x.im y.im) y.re))) y.re) (taylor () inf y.re) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (*.f64 y.im x.im))))) (patch) () ())) ())
#s(alt (/.f64 (-.f64 (+.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 3 binary64))) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 (.f64 x.im y.im) y.re))) (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) (pow.f64 y.re #s(literal 2 binary64)))) y.re) (taylor () inf y.re) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (.f64 y.im x.im))))) (patch) () ())) ())
#s(alt (/.f64 x.re y.re) (taylor () -inf y.re) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (.f64 y.im x.im))))) (patch) () ())) ())
#s(alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.im) y.re))) y.re)) (taylor () -inf y.re) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (.f64 y.im x.im))))) (patch) () ())) ())
#s(alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re (pow.f64 y.im #s(literal 2 binary64))) y.re)) (.f64 x.im y.im)) y.re))) y.re)) (taylor () -inf y.re) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (.f64 y.im x.im))))) (patch) () ())) ())
#s(alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.re) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (.f64 x.im (pow.f64 y.im #s(literal 3 binary64))) y.re) (.f64 #s(literal -1 binary64) (.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) y.re)) (.f64 x.im y.im)) y.re))) y.re)) (taylor () -inf y.re) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (.f64 y.im x.im))))) (patch) () ())) ())
#s(alt (/.f64 x.re y.re) (taylor () 0 y.im) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (.f64 y.im x.im))))) (patch) () ())) ())
#s(alt (+.f64 (/.f64 x.re y.re) (/.f64 (.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))) (taylor () 0 y.im) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (*.f64 y.im x.im))))) (patch) () ())) ())
#s(alt (+.f64 (.f64 y.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.im) (pow.f64 y.re #s(literal 3 binary64)))) (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 x.re y.re)) (taylor () 0 y.im) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (*.f64 y.im x.im))))) (patch) () ())) ())
#s(alt (+.f64 (.f64 y.im (+.f64 (.f64 y.im (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.im) (pow.f64 y.re #s(literal 4 binary64)))) (/.f64 x.re (pow.f64 y.re #s(literal 3 binary64))))) (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))))) (/.f64 x.re y.re)) (taylor () 0 y.im) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (.f64 y.im x.im))))) (patch) () ())) ())
#s(alt (/.f64 x.im y.im) (taylor () inf y.im) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (.f64 y.im x.im))))) (patch) () ())) ())
#s(alt (/.f64 (+.f64 x.im (/.f64 (.f64 x.re y.re) y.im)) y.im) (taylor () inf y.im) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (*.f64 y.im x.im))))) (patch) () ())) ())
#s(alt (/.f64 (+.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) (/.f64 (.f64 x.re y.re) y.im))) y.im) (taylor () inf y.im) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (*.f64 y.im x.im))))) (patch) () ())) ())
#s(alt (/.f64 (-.f64 (+.f64 x.im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re (pow.f64 y.re #s(literal 3 binary64))) (pow.f64 y.im #s(literal 3 binary64)))) (/.f64 (.f64 x.re y.re) y.im))) (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (pow.f64 y.im #s(literal 2 binary64)))) y.im) (taylor () inf y.im) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (.f64 y.im x.im))))) (patch) () ())) ())
#s(alt (/.f64 x.im y.im) (taylor () -inf y.im) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (.f64 y.im x.im))))) (patch) () ())) ())
#s(alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.im) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.re) y.im))) y.im)) (taylor () -inf y.im) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (.f64 y.im x.im))))) (patch) () ())) ())
#s(alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.im) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) y.im)) (.f64 x.re y.re)) y.im))) y.im)) (taylor () -inf y.im) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (.f64 y.im x.im))))) (patch) () ())) ())
#s(alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.im) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (.f64 x.re (pow.f64 y.re #s(literal 3 binary64))) y.im) (.f64 #s(literal -1 binary64) (.f64 x.im (pow.f64 y.re #s(literal 2 binary64))))) y.im)) (.f64 x.re y.re)) y.im))) y.im)) (taylor () -inf y.im) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (.f64 y.im x.im))))) (patch) () ())) ())
#s(alt (/.f64 (.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (taylor () 0 x.re) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (*.f64 y.im x.im))))) (patch) () ())) ())
#s(alt (+.f64 (/.f64 (.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (taylor () 0 x.re) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (.f64 y.im x.im))))) (patch) () ())) ())
#s(alt (+.f64 (/.f64 (.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (taylor () 0 x.re) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (.f64 y.im x.im))))) (patch) () ())) ())
#s(alt (+.f64 (/.f64 (.f64 x.im y.im) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (taylor () 0 x.re) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (.f64 y.im x.im))))) (patch) () ())) ())
#s(alt (/.f64 (.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (taylor () inf x.re) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (*.f64 y.im x.im))))) (patch) () ())) ())
#s(alt (.f64 x.re (+.f64 (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (.f64 x.im y.im) (.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (taylor () inf x.re) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (*.f64 y.im x.im))))) (patch) () ())) ())
#s(alt (.f64 x.re (+.f64 (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (.f64 x.im y.im) (.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (taylor () inf x.re) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (*.f64 y.im x.im))))) (patch) () ())) ())
#s(alt (.f64 x.re (+.f64 (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (/.f64 (.f64 x.im y.im) (.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))) (taylor () inf x.re) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (*.f64 y.im x.im))))) (patch) () ())) ())
#s(alt (/.f64 (.f64 x.re y.re) (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64)))) (taylor () -inf x.re) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (*.f64 y.im x.im))))) (patch) () ())) ())
#s(alt (.f64 #s(literal -1 binary64) (.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.im) (.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))) (taylor () -inf x.re) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (.f64 y.im x.im))))) (patch) () ())) ())
#s(alt (.f64 #s(literal -1 binary64) (.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.im) (.f64 x.re (+.f64 (pow.f64 y.im #s(literal 2 binary64)) (pow.f64 y.re #s(literal 2 binary64))))))))) (taylor () -inf x.re) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) (fma.f64 y.re x.re (.f64 y.im x.im))))) (patch) () ())) ())
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#s(alt (/.f64 (.f64 x.re y.re) (pow.f64 y.im #s(literal 2 binary64))) (taylor () 0 y.im) (#s(alt (+.f64 (/.f64 x.im y.im) (.f64 y.re (/.f64 (/.f64 x.re y.im) y.im))) (patch) () ())) ())
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#s(alt (/.f64 (+.f64 (.f64 x.im y.im) (.f64 x.re y.re)) (pow.f64 y.im #s(literal 2 binary64))) (taylor () 0 y.im) (#s(alt (+.f64 (/.f64 x.im y.im) (*.f64 y.re (/.f64 (/.f64 x.re y.im) y.im))) (patch) () ())) ())
#s(alt (/.f64 (+.f64 (.f64 x.im y.im) (.f64 x.re y.re)) (pow.f64 y.im #s(literal 2 binary64))) (taylor () 0 y.im) (#s(alt (+.f64 (/.f64 x.im y.im) (*.f64 y.re (/.f64 (/.f64 x.re y.im) y.im))) (patch) () ())) ())
#s(alt (/.f64 x.im y.im) (taylor () inf y.im) (#s(alt (+.f64 (/.f64 x.im y.im) (*.f64 y.re (/.f64 (/.f64 x.re y.im) y.im))) (patch) () ())) ())
#s(alt (/.f64 (+.f64 x.im (/.f64 (.f64 x.re y.re) y.im)) y.im) (taylor () inf y.im) (#s(alt (+.f64 (/.f64 x.im y.im) (.f64 y.re (/.f64 (/.f64 x.re y.im) y.im))) (patch) () ())) ())
#s(alt (/.f64 (+.f64 x.im (/.f64 (.f64 x.re y.re) y.im)) y.im) (taylor () inf y.im) (#s(alt (+.f64 (/.f64 x.im y.im) (.f64 y.re (/.f64 (/.f64 x.re y.im) y.im))) (patch) () ())) ())
#s(alt (/.f64 (+.f64 x.im (/.f64 (.f64 x.re y.re) y.im)) y.im) (taylor () inf y.im) (#s(alt (+.f64 (/.f64 x.im y.im) (.f64 y.re (/.f64 (/.f64 x.re y.im) y.im))) (patch) () ())) ())
#s(alt (/.f64 x.im y.im) (taylor () -inf y.im) (#s(alt (+.f64 (/.f64 x.im y.im) (*.f64 y.re (/.f64 (/.f64 x.re y.im) y.im))) (patch) () ())) ())
#s(alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.im) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.re) y.im))) y.im)) (taylor () -inf y.im) (#s(alt (+.f64 (/.f64 x.im y.im) (*.f64 y.re (/.f64 (/.f64 x.re y.im) y.im))) (patch) () ())) ())
#s(alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.im) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.re) y.im))) y.im)) (taylor () -inf y.im) (#s(alt (+.f64 (/.f64 x.im y.im) (*.f64 y.re (/.f64 (/.f64 x.re y.im) y.im))) (patch) () ())) ())
#s(alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x.im) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.re y.re) y.im))) y.im)) (taylor () -inf y.im) (#s(alt (+.f64 (/.f64 x.im y.im) (*.f64 y.re (/.f64 (/.f64 x.re y.im) y.im))) (patch) () ())) ())
#s(alt (/.f64 x.im y.im) (taylor () 0 y.re) (#s(alt (+.f64 (/.f64 x.im y.im) (*.f64 y.re (/.f64 (/.f64 x.re y.im) y.im))) (patch) () ())) ())
#s(alt (+.f64 (/.f64 x.im y.im) (/.f64 (.f64 x.re y.re) (pow.f64 y.im #s(literal 2 binary64)))) (taylor () 0 y.re) (#s(alt (+.f64 (/.f64 x.im y.im) (.f64 y.re (/.f64 (/.f64 x.re y.im) y.im))) (patch) () ())) ())
#s(alt (+.f64 (/.f64 x.im y.im) (/.f64 (.f64 x.re y.re) (pow.f64 y.im #s(literal 2 binary64)))) (taylor () 0 y.re) (#s(alt (+.f64 (/.f64 x.im y.im) (.f64 y.re (/.f64 (/.f64 x.re y.im) y.im))) (patch) () ())) ())
#s(alt (+.f64 (/.f64 x.im y.im) (/.f64 (.f64 x.re y.re) (pow.f64 y.im #s(literal 2 binary64)))) (taylor () 0 y.re) (#s(alt (+.f64 (/.f64 x.im y.im) (.f64 y.re (/.f64 (/.f64 x.re y.im) y.im))) (patch) () ())) ())
#s(alt (/.f64 (.f64 x.re y.re) (pow.f64 y.im #s(literal 2 binary64))) (taylor () inf y.re) (#s(alt (+.f64 (/.f64 x.im y.im) (.f64 y.re (/.f64 (/.f64 x.re y.im) y.im))) (patch) () ())) ())
#s(alt (.f64 y.re (+.f64 (/.f64 x.im (.f64 y.im y.re)) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) (taylor () inf y.re) (#s(alt (+.f64 (/.f64 x.im y.im) (*.f64 y.re (/.f64 (/.f64 x.re y.im) y.im))) (patch) () ())) ())
#s(alt (.f64 y.re (+.f64 (/.f64 x.im (.f64 y.im y.re)) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) (taylor () inf y.re) (#s(alt (+.f64 (/.f64 x.im y.im) (*.f64 y.re (/.f64 (/.f64 x.re y.im) y.im))) (patch) () ())) ())
#s(alt (.f64 y.re (+.f64 (/.f64 x.im (.f64 y.im y.re)) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))) (taylor () inf y.re) (#s(alt (+.f64 (/.f64 x.im y.im) (*.f64 y.re (/.f64 (/.f64 x.re y.im) y.im))) (patch) () ())) ())
#s(alt (/.f64 (.f64 x.re y.re) (pow.f64 y.im #s(literal 2 binary64))) (taylor () -inf y.re) (#s(alt (+.f64 (/.f64 x.im y.im) (.f64 y.re (/.f64 (/.f64 x.re y.im) y.im))) (patch) () ())) ())
#s(alt (.f64 #s(literal -1 binary64) (.f64 y.re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x.im (.f64 y.im y.re))) (.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))))) (taylor () -inf y.re) (#s(alt (+.f64 (/.f64 x.im y.im) (.f64 y.re (/.f64 (/.f64 x.re y.im) y.im))) (patch) () ())) ())
#s(alt (.f64 #s(literal -1 binary64) (.f64 y.re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x.im (.f64 y.im y.re))) (.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))))) (taylor () -inf y.re) (#s(alt (+.f64 (/.f64 x.im y.im) (.f64 y.re (/.f64 (/.f64 x.re y.im) y.im))) (patch) () ())) ())
#s(alt (.f64 #s(literal -1 binary64) (.f64 y.re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x.im (.f64 y.im y.re))) (.f64 #s(literal -1 binary64) (/.f64 x.re (pow.f64 y.im #s(literal 2 binary64))))))) (taylor () -inf y.re) (#s(alt (+.f64 (/.f64 x.im y.im) (.f64 y.re (/.f64 (/.f64 x.re y.im) y.im))) (patch) () ())) ())
#s(alt (/.f64 x.im y.im) (taylor () 0 x.re) (#s(alt (+.f64 (/.f64 x.im y.im) (*.f64 y.re (/.f64 (/.f64 x.re y.im) y.im))) (patch) () ())) ())
#s(alt (+.f64 (/.f64 x.im y.im) (/.f64 (.f64 x.re y.re) (pow.f64 y.im #s(literal 2 binary64)))) (taylor () 0 x.re) (#s(alt (+.f64 (/.f64 x.im y.im) (.f64 y.re (/.f64 (/.f64 x.re y.im) y.im))) (patch) () ())) ())
#s(alt (+.f64 (/.f64 x.im y.im) (/.f64 (.f64 x.re y.re) (pow.f64 y.im #s(literal 2 binary64)))) (taylor () 0 x.re) (#s(alt (+.f64 (/.f64 x.im y.im) (.f64 y.re (/.f64 (/.f64 x.re y.im) y.im))) (patch) () ())) ())
#s(alt (+.f64 (/.f64 x.im y.im) (/.f64 (.f64 x.re y.re) (pow.f64 y.im #s(literal 2 binary64)))) (taylor () 0 x.re) (#s(alt (+.f64 (/.f64 x.im y.im) (.f64 y.re (/.f64 (/.f64 x.re y.im) y.im))) (patch) () ())) ())
#s(alt (/.f64 (.f64 x.re y.re) (pow.f64 y.im #s(literal 2 binary64))) (taylor () inf x.re) (#s(alt (+.f64 (/.f64 x.im y.im) (.f64 y.re (/.f64 (/.f64 x.re y.im) y.im))) (patch) () ())) ())
#s(alt (.f64 x.re (+.f64 (/.f64 x.im (.f64 x.re y.im)) (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))))) (taylor () inf x.re) (#s(alt (+.f64 (/.f64 x.im y.im) (*.f64 y.re (/.f64 (/.f64 x.re y.im) y.im))) (patch) () ())) ())
#s(alt (.f64 x.re (+.f64 (/.f64 x.im (.f64 x.re y.im)) (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))))) (taylor () inf x.re) (#s(alt (+.f64 (/.f64 x.im y.im) (*.f64 y.re (/.f64 (/.f64 x.re y.im) y.im))) (patch) () ())) ())
#s(alt (.f64 x.re (+.f64 (/.f64 x.im (.f64 x.re y.im)) (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))))) (taylor () inf x.re) (#s(alt (+.f64 (/.f64 x.im y.im) (*.f64 y.re (/.f64 (/.f64 x.re y.im) y.im))) (patch) () ())) ())
#s(alt (/.f64 (.f64 x.re y.re) (pow.f64 y.im #s(literal 2 binary64))) (taylor () -inf x.re) (#s(alt (+.f64 (/.f64 x.im y.im) (.f64 y.re (/.f64 (/.f64 x.re y.im) y.im))) (patch) () ())) ())
#s(alt (.f64 #s(literal -1 binary64) (.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x.im (.f64 x.re y.im))) (.f64 #s(literal -1 binary64) (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))))))) (taylor () -inf x.re) (#s(alt (+.f64 (/.f64 x.im y.im) (.f64 y.re (/.f64 (/.f64 x.re y.im) y.im))) (patch) () ())) ())
#s(alt (.f64 #s(literal -1 binary64) (.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x.im (.f64 x.re y.im))) (.f64 #s(literal -1 binary64) (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))))))) (taylor () -inf x.re) (#s(alt (+.f64 (/.f64 x.im y.im) (.f64 y.re (/.f64 (/.f64 x.re y.im) y.im))) (patch) () ())) ())
#s(alt (.f64 #s(literal -1 binary64) (.f64 x.re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x.im (.f64 x.re y.im))) (.f64 #s(literal -1 binary64) (/.f64 y.re (pow.f64 y.im #s(literal 2 binary64))))))) (taylor () -inf x.re) (#s(alt (+.f64 (/.f64 x.im y.im) (.f64 y.re (/.f64 (/.f64 x.re y.im) y.im))) (patch) () ())) ())

Calls

144 calls:

Time	Variable		Point	Expression
11.0ms	y.re	@	inf	(* (sqrt (+ (* y.re y.re) (* y.im y.im))) (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.re x.re) (* y.im x.im))))
7.0ms	y.im	@	-inf	(* x.re (/ y.re y.im))
6.0ms	y.re	@	-inf	(* (sqrt (+ (* y.re y.re) (* y.im y.im))) (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.re x.re) (* y.im x.im))))
4.0ms	y.re	@	0	(/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.re x.re) (* y.im x.im)))
2.0ms	y.im	@	0	(/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.re x.re) (* y.im x.im)))

rewrite330.0ms (2.2%)

Memory

-0.4MiB live, 237.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

431×	`log1p-expm1-u`
234×	`expm1-log1p-u`
232×	`add-cube-cbrt`
231×	`add-exp-log`
231×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	491
1	531	443
2	7927	443

Stop Event

1×	node limit

Counts

15 → 528

Calls

Call 1

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

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

simplify853.0ms (5.8%)

Memory

-33.4MiB live, 851.8MiB allocated

Algorithm

1×	egg-herbie

Rules

501×	`*-commutative`
286×	`distribute-rgt-neg-in`
282×	`mul-1-neg`
271×	`neg-sub0`
266×	`distribute-lft-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1749	48922
1	5162	47429

Stop Event

1×	node limit

Counts

1 032 → 978

Calls

Call 1

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

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

eval247.0ms (1.7%)

Memory: 36.8MiB live, 342.6MiB allocated
Compiler: Compiled 29 037 to 5 029 computations (82.7% saved)

prune315.0ms (2.1%)

Memory

-28.9MiB live, 580.9MiB allocated

Pruning

19 alts after pruning (14 fresh and 5 done)

	Pruned	Kept	Total
New	1 226	7	1 233
Fresh	3	7	10
Picked	1	4	5
Done	0	1	1
Total	1 230	19	1 249

Accuracy

100.0%

Counts

1 249 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	23.2%	(/.f64 (/.f64 (*.f64 y.re x.re) y.im) y.im)
	26.3%	(/.f64 (/.f64 x.re (/.f64 y.im y.re)) y.im)
	52.6%	(/.f64 (+.f64 x.re (/.f64 (*.f64 y.im x.im) y.re)) y.re)
	45.7%	(/.f64 (+.f64 x.re (-.f64 (.f64 y.im (/.f64 x.im y.re)) (.f64 (pow.f64 y.im #s(literal 2 binary64)) (/.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))))) y.re)
▶	54.6%	(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
✓	52.7%	(/.f64 (+.f64 x.im (*.f64 (/.f64 y.re y.im) x.re)) y.im)
✓	26.3%	(/.f64 (*.f64 x.re (/.f64 y.re y.im)) y.im)
✓	42.6%	(/.f64 x.re y.re)
✓	40.8%	(/.f64 x.im y.im)
▶	42.5%	(/.f64 #s(literal 1 binary64) (/.f64 y.re x.re))
	40.6%	(/.f64 #s(literal 1 binary64) (/.f64 y.im x.im))
	46.4%	(/.f64 #s(literal 1 binary64) (.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) (.f64 x.im y.im))))
	52.2%	(+.f64 (/.f64 x.im y.im) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y.im y.re) (/.f64 y.im x.re))))
✓	48.8%	(+.f64 (/.f64 x.im y.im) (*.f64 y.re (/.f64 (/.f64 x.re y.im) y.im)))
	27.1%	(*.f64 (/.f64 y.re y.im) (/.f64 x.re y.im))
	32.0%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (+.f64 (.f64 #s(literal -1 binary64) x.re) (.f64 #s(literal -1 binary64) (/.f64 (.f64 x.im y.im) y.re))))
	42.5%	(*.f64 (/.f64 #s(literal 1 binary64) y.re) x.re)
▶	40.7%	(*.f64 (/.f64 #s(literal 1 binary64) y.im) x.im)
▶	19.3%	(*.f64 y.im (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))))

Compiler

Compiled 421 to 278 computations (34% saved)

simplify38.0ms (0.3%)

Memory

13.2MiB live, 52.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Rules

125×	`times-frac`
55×	`associate-l`
51×	`associate-r`
42×	`associate-/r*`
34×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	27	349
1	51	335
2	78	329
3	122	329
4	205	329
5	339	329
6	437	329
7	463	329
8	467	329
9	492	329
10	513	329
11	514	329

Stop Event

1×

saturated

Calls

Call 1

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

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

localize61.0ms (0.4%)

Memory

25.5MiB live, 101.9MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(pow.f64 y.re #s(literal 2 binary64))
✓	accuracy	88.5%	(*.f64 y.im (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))))
✓	accuracy	84.4%	(/.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))
✓	accuracy	100.0%	(*.f64 y.re x.re)
✓	accuracy	96.7%	(/.f64 (/.f64 (*.f64 y.re x.re) y.im) y.im)
✓	accuracy	90.5%	(/.f64 (*.f64 y.re x.re) y.im)
✓	accuracy	100.0%	(/.f64 y.re x.re)
✓	accuracy	98.8%	(/.f64 #s(literal 1 binary64) (/.f64 y.re x.re))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y.im)
✓	accuracy	99.7%	(*.f64 (/.f64 #s(literal 1 binary64) y.im) x.im)
✓	accuracy	100.0%	(/.f64 y.im y.re)
✓	accuracy	100.0%	(+.f64 x.re (*.f64 x.im (/.f64 y.im y.re)))
✓	accuracy	99.5%	(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
✓	accuracy	91.2%	(*.f64 x.im (/.f64 y.im y.re))

Samples

40.0ms

256×

valid

Compiler

Compiled 89 to 22 computations (75.3% saved)

Precisions

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

ival-div: 13.0ms (55.9% of total)

ival-mult: 6.0ms (25.8% of total)

ival-pow2: 2.0ms (8.6% of total)

ival-add: 1.0ms (4.3% of total)

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

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

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

series31.0ms (0.2%)

Memory

-22.4MiB live, 55.9MiB allocated

Counts

14 → 312

Calls

Call 1

Inputs
#s(alt (*.f64 x.im (/.f64 y.im y.re)) (patch) () ())
#s(alt (/.f64 y.im y.re) (patch) () ())
#s(alt (/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re) (patch) () ())
#s(alt (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) (patch) () ())
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) y.im) x.im) (patch) () ())
#s(alt (/.f64 #s(literal 1 binary64) y.im) (patch) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 y.re x.re)) (patch) () ())
#s(alt (/.f64 y.re x.re) (patch) () ())
#s(alt (/.f64 (/.f64 (*.f64 y.re x.re) y.im) y.im) (patch) () ())
#s(alt (/.f64 (*.f64 y.re x.re) y.im) (patch) () ())
#s(alt (*.f64 y.re x.re) (patch) () ())
#s(alt (*.f64 y.im (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) (patch) () ())
#s(alt (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64))) (patch) () ())
#s(alt (pow.f64 y.re #s(literal 2 binary64)) (patch) () ())

Outputs
#s(alt (/.f64 (.f64 x.im y.im) y.re) (taylor () 0 x.im) (#s(alt (.f64 x.im (/.f64 y.im y.re)) (patch) () ())) ())
#s(alt (/.f64 (.f64 x.im y.im) y.re) (taylor () 0 x.im) (#s(alt (.f64 x.im (/.f64 y.im y.re)) (patch) () ())) ())
#s(alt (/.f64 (.f64 x.im y.im) y.re) (taylor () 0 x.im) (#s(alt (.f64 x.im (/.f64 y.im y.re)) (patch) () ())) ())
#s(alt (/.f64 (.f64 x.im y.im) y.re) (taylor () 0 x.im) (#s(alt (.f64 x.im (/.f64 y.im y.re)) (patch) () ())) ())
#s(alt (/.f64 (.f64 x.im y.im) y.re) (taylor () inf x.im) (#s(alt (.f64 x.im (/.f64 y.im y.re)) (patch) () ())) ())
#s(alt (/.f64 (.f64 x.im y.im) y.re) (taylor () inf x.im) (#s(alt (.f64 x.im (/.f64 y.im y.re)) (patch) () ())) ())
#s(alt (/.f64 (.f64 x.im y.im) y.re) (taylor () inf x.im) (#s(alt (.f64 x.im (/.f64 y.im y.re)) (patch) () ())) ())
#s(alt (/.f64 (.f64 x.im y.im) y.re) (taylor () inf x.im) (#s(alt (.f64 x.im (/.f64 y.im y.re)) (patch) () ())) ())
#s(alt (/.f64 (.f64 x.im y.im) y.re) (taylor () -inf x.im) (#s(alt (.f64 x.im (/.f64 y.im y.re)) (patch) () ())) ())
#s(alt (/.f64 (.f64 x.im y.im) y.re) (taylor () -inf x.im) (#s(alt (.f64 x.im (/.f64 y.im y.re)) (patch) () ())) ())
#s(alt (/.f64 (.f64 x.im y.im) y.re) (taylor () -inf x.im) (#s(alt (.f64 x.im (/.f64 y.im y.re)) (patch) () ())) ())
#s(alt (/.f64 (.f64 x.im y.im) y.re) (taylor () -inf x.im) (#s(alt (.f64 x.im (/.f64 y.im y.re)) (patch) () ())) ())
#s(alt (/.f64 (.f64 x.im y.im) y.re) (taylor () 0 y.im) (#s(alt (.f64 x.im (/.f64 y.im y.re)) (patch) () ())) ())
#s(alt (/.f64 (.f64 x.im y.im) y.re) (taylor () 0 y.im) (#s(alt (.f64 x.im (/.f64 y.im y.re)) (patch) () ())) ())
#s(alt (/.f64 (.f64 x.im y.im) y.re) (taylor () 0 y.im) (#s(alt (.f64 x.im (/.f64 y.im y.re)) (patch) () ())) ())
#s(alt (/.f64 (.f64 x.im y.im) y.re) (taylor () 0 y.im) (#s(alt (.f64 x.im (/.f64 y.im y.re)) (patch) () ())) ())
#s(alt (/.f64 (.f64 x.im y.im) y.re) (taylor () inf y.im) (#s(alt (.f64 x.im (/.f64 y.im y.re)) (patch) () ())) ())
#s(alt (/.f64 (.f64 x.im y.im) y.re) (taylor () inf y.im) (#s(alt (.f64 x.im (/.f64 y.im y.re)) (patch) () ())) ())
#s(alt (/.f64 (.f64 x.im y.im) y.re) (taylor () inf y.im) (#s(alt (.f64 x.im (/.f64 y.im y.re)) (patch) () ())) ())
#s(alt (/.f64 (.f64 x.im y.im) y.re) (taylor () inf y.im) (#s(alt (.f64 x.im (/.f64 y.im y.re)) (patch) () ())) ())
#s(alt (/.f64 (.f64 x.im y.im) y.re) (taylor () -inf y.im) (#s(alt (.f64 x.im (/.f64 y.im y.re)) (patch) () ())) ())
#s(alt (/.f64 (.f64 x.im y.im) y.re) (taylor () -inf y.im) (#s(alt (.f64 x.im (/.f64 y.im y.re)) (patch) () ())) ())
#s(alt (/.f64 (.f64 x.im y.im) y.re) (taylor () -inf y.im) (#s(alt (.f64 x.im (/.f64 y.im y.re)) (patch) () ())) ())
#s(alt (/.f64 (.f64 x.im y.im) y.re) (taylor () -inf y.im) (#s(alt (.f64 x.im (/.f64 y.im y.re)) (patch) () ())) ())
#s(alt (/.f64 (.f64 x.im y.im) y.re) (taylor () 0 y.re) (#s(alt (.f64 x.im (/.f64 y.im y.re)) (patch) () ())) ())
#s(alt (/.f64 (.f64 x.im y.im) y.re) (taylor () 0 y.re) (#s(alt (.f64 x.im (/.f64 y.im y.re)) (patch) () ())) ())
#s(alt (/.f64 (.f64 x.im y.im) y.re) (taylor () 0 y.re) (#s(alt (.f64 x.im (/.f64 y.im y.re)) (patch) () ())) ())
#s(alt (/.f64 (.f64 x.im y.im) y.re) (taylor () 0 y.re) (#s(alt (.f64 x.im (/.f64 y.im y.re)) (patch) () ())) ())
#s(alt (/.f64 (.f64 x.im y.im) y.re) (taylor () inf y.re) (#s(alt (.f64 x.im (/.f64 y.im y.re)) (patch) () ())) ())
#s(alt (/.f64 (.f64 x.im y.im) y.re) (taylor () inf y.re) (#s(alt (.f64 x.im (/.f64 y.im y.re)) (patch) () ())) ())
#s(alt (/.f64 (.f64 x.im y.im) y.re) (taylor () inf y.re) (#s(alt (.f64 x.im (/.f64 y.im y.re)) (patch) () ())) ())
#s(alt (/.f64 (.f64 x.im y.im) y.re) (taylor () inf y.re) (#s(alt (.f64 x.im (/.f64 y.im y.re)) (patch) () ())) ())
#s(alt (/.f64 (.f64 x.im y.im) y.re) (taylor () -inf y.re) (#s(alt (.f64 x.im (/.f64 y.im y.re)) (patch) () ())) ())
#s(alt (/.f64 (.f64 x.im y.im) y.re) (taylor () -inf y.re) (#s(alt (.f64 x.im (/.f64 y.im y.re)) (patch) () ())) ())
#s(alt (/.f64 (.f64 x.im y.im) y.re) (taylor () -inf y.re) (#s(alt (.f64 x.im (/.f64 y.im y.re)) (patch) () ())) ())
#s(alt (/.f64 (.f64 x.im y.im) y.re) (taylor () -inf y.re) (#s(alt (.f64 x.im (/.f64 y.im y.re)) (patch) () ())) ())
#s(alt (/.f64 (.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))) (taylor () 0 x.re) (#s(alt (/.f64 (+.f64 x.re (.f64 x.im (/.f64 y.im y.re))) y.re) (patch) () ())) ())
#s(alt (+.f64 (/.f64 x.re y.re) (/.f64 (.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))) (taylor () 0 x.re) (#s(alt (/.f64 (+.f64 x.re (.f64 x.im (/.f64 y.im y.re))) y.re) (patch) () ())) ())
#s(alt (+.f64 (/.f64 x.re y.re) (/.f64 (.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))) (taylor () 0 x.re) (#s(alt (/.f64 (+.f64 x.re (.f64 x.im (/.f64 y.im y.re))) y.re) (patch) () ())) ())
#s(alt (+.f64 (/.f64 x.re y.re) (/.f64 (.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64)))) (taylor () 0 x.re) (#s(alt (/.f64 (+.f64 x.re (.f64 x.im (/.f64 y.im y.re))) y.re) (patch) () ())) ())
#s(alt (/.f64 x.re y.re) (taylor () inf x.re) (#s(alt (/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re) (patch) () ())) ())
#s(alt (.f64 x.re (+.f64 (/.f64 #s(literal 1 binary64) y.re) (/.f64 (.f64 x.im y.im) (.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))))) (taylor () inf x.re) (#s(alt (/.f64 (+.f64 x.re (.f64 x.im (/.f64 y.im y.re))) y.re) (patch) () ())) ())
#s(alt (.f64 x.re (+.f64 (/.f64 #s(literal 1 binary64) y.re) (/.f64 (.f64 x.im y.im) (.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))))) (taylor () inf x.re) (#s(alt (/.f64 (+.f64 x.re (.f64 x.im (/.f64 y.im y.re))) y.re) (patch) () ())) ())
#s(alt (.f64 x.re (+.f64 (/.f64 #s(literal 1 binary64) y.re) (/.f64 (.f64 x.im y.im) (.f64 x.re (pow.f64 y.re #s(literal 2 binary64)))))) (taylor () inf x.re) (#s(alt (/.f64 (+.f64 x.re (.f64 x.im (/.f64 y.im y.re))) y.re) (patch) () ())) ())
#s(alt (/.f64 x.re y.re) (taylor () -inf x.re) (#s(alt (/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re) (patch) () ())) ())
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#s(alt (/.f64 (.f64 x.re y.re) y.im) (taylor () 0 y.im) (#s(alt (/.f64 (.f64 y.re x.re) y.im) (patch) () ())) ())
#s(alt (/.f64 (.f64 x.re y.re) y.im) (taylor () 0 y.im) (#s(alt (/.f64 (.f64 y.re x.re) y.im) (patch) () ())) ())
#s(alt (/.f64 (.f64 x.re y.re) y.im) (taylor () inf y.im) (#s(alt (/.f64 (.f64 y.re x.re) y.im) (patch) () ())) ())
#s(alt (/.f64 (.f64 x.re y.re) y.im) (taylor () inf y.im) (#s(alt (/.f64 (.f64 y.re x.re) y.im) (patch) () ())) ())
#s(alt (/.f64 (.f64 x.re y.re) y.im) (taylor () inf y.im) (#s(alt (/.f64 (.f64 y.re x.re) y.im) (patch) () ())) ())
#s(alt (/.f64 (.f64 x.re y.re) y.im) (taylor () inf y.im) (#s(alt (/.f64 (.f64 y.re x.re) y.im) (patch) () ())) ())
#s(alt (/.f64 (.f64 x.re y.re) y.im) (taylor () -inf y.im) (#s(alt (/.f64 (.f64 y.re x.re) y.im) (patch) () ())) ())
#s(alt (/.f64 (.f64 x.re y.re) y.im) (taylor () -inf y.im) (#s(alt (/.f64 (.f64 y.re x.re) y.im) (patch) () ())) ())
#s(alt (/.f64 (.f64 x.re y.re) y.im) (taylor () -inf y.im) (#s(alt (/.f64 (.f64 y.re x.re) y.im) (patch) () ())) ())
#s(alt (/.f64 (.f64 x.re y.re) y.im) (taylor () -inf y.im) (#s(alt (/.f64 (.f64 y.re x.re) y.im) (patch) () ())) ())
#s(alt (.f64 x.re y.re) (taylor () 0 y.re) (#s(alt (.f64 y.re x.re) (patch) () ())) ())
#s(alt (.f64 x.re y.re) (taylor () 0 y.re) (#s(alt (.f64 y.re x.re) (patch) () ())) ())
#s(alt (.f64 x.re y.re) (taylor () 0 y.re) (#s(alt (.f64 y.re x.re) (patch) () ())) ())
#s(alt (.f64 x.re y.re) (taylor () 0 y.re) (#s(alt (.f64 y.re x.re) (patch) () ())) ())
#s(alt (.f64 x.re y.re) (taylor () inf y.re) (#s(alt (.f64 y.re x.re) (patch) () ())) ())
#s(alt (.f64 x.re y.re) (taylor () inf y.re) (#s(alt (.f64 y.re x.re) (patch) () ())) ())
#s(alt (.f64 x.re y.re) (taylor () inf y.re) (#s(alt (.f64 y.re x.re) (patch) () ())) ())
#s(alt (.f64 x.re y.re) (taylor () inf y.re) (#s(alt (.f64 y.re x.re) (patch) () ())) ())
#s(alt (.f64 x.re y.re) (taylor () -inf y.re) (#s(alt (.f64 y.re x.re) (patch) () ())) ())
#s(alt (.f64 x.re y.re) (taylor () -inf y.re) (#s(alt (.f64 y.re x.re) (patch) () ())) ())
#s(alt (.f64 x.re y.re) (taylor () -inf y.re) (#s(alt (.f64 y.re x.re) (patch) () ())) ())
#s(alt (.f64 x.re y.re) (taylor () -inf y.re) (#s(alt (.f64 y.re x.re) (patch) () ())) ())
#s(alt (.f64 x.re y.re) (taylor () 0 x.re) (#s(alt (.f64 y.re x.re) (patch) () ())) ())
#s(alt (.f64 x.re y.re) (taylor () 0 x.re) (#s(alt (.f64 y.re x.re) (patch) () ())) ())
#s(alt (.f64 x.re y.re) (taylor () 0 x.re) (#s(alt (.f64 y.re x.re) (patch) () ())) ())
#s(alt (.f64 x.re y.re) (taylor () 0 x.re) (#s(alt (.f64 y.re x.re) (patch) () ())) ())
#s(alt (.f64 x.re y.re) (taylor () inf x.re) (#s(alt (.f64 y.re x.re) (patch) () ())) ())
#s(alt (.f64 x.re y.re) (taylor () inf x.re) (#s(alt (.f64 y.re x.re) (patch) () ())) ())
#s(alt (.f64 x.re y.re) (taylor () inf x.re) (#s(alt (.f64 y.re x.re) (patch) () ())) ())
#s(alt (.f64 x.re y.re) (taylor () inf x.re) (#s(alt (.f64 y.re x.re) (patch) () ())) ())
#s(alt (.f64 x.re y.re) (taylor () -inf x.re) (#s(alt (.f64 y.re x.re) (patch) () ())) ())
#s(alt (.f64 x.re y.re) (taylor () -inf x.re) (#s(alt (.f64 y.re x.re) (patch) () ())) ())
#s(alt (.f64 x.re y.re) (taylor () -inf x.re) (#s(alt (.f64 y.re x.re) (patch) () ())) ())
#s(alt (.f64 x.re y.re) (taylor () -inf x.re) (#s(alt (.f64 y.re x.re) (patch) () ())) ())
#s(alt (/.f64 (.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))) (taylor () 0 y.im) (#s(alt (.f64 y.im (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) (patch) () ())) ())
#s(alt (/.f64 (.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))) (taylor () 0 y.im) (#s(alt (.f64 y.im (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) (patch) () ())) ())
#s(alt (/.f64 (.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))) (taylor () 0 y.im) (#s(alt (.f64 y.im (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) (patch) () ())) ())
#s(alt (/.f64 (.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))) (taylor () 0 y.im) (#s(alt (.f64 y.im (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) (patch) () ())) ())
#s(alt (/.f64 (.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))) (taylor () inf y.im) (#s(alt (.f64 y.im (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) (patch) () ())) ())
#s(alt (/.f64 (.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))) (taylor () inf y.im) (#s(alt (.f64 y.im (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) (patch) () ())) ())
#s(alt (/.f64 (.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))) (taylor () inf y.im) (#s(alt (.f64 y.im (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) (patch) () ())) ())
#s(alt (/.f64 (.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))) (taylor () inf y.im) (#s(alt (.f64 y.im (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) (patch) () ())) ())
#s(alt (/.f64 (.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))) (taylor () -inf y.im) (#s(alt (.f64 y.im (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) (patch) () ())) ())
#s(alt (/.f64 (.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))) (taylor () -inf y.im) (#s(alt (.f64 y.im (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) (patch) () ())) ())
#s(alt (/.f64 (.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))) (taylor () -inf y.im) (#s(alt (.f64 y.im (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) (patch) () ())) ())
#s(alt (/.f64 (.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))) (taylor () -inf y.im) (#s(alt (.f64 y.im (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) (patch) () ())) ())
#s(alt (/.f64 (.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))) (taylor () 0 x.im) (#s(alt (.f64 y.im (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) (patch) () ())) ())
#s(alt (/.f64 (.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))) (taylor () 0 x.im) (#s(alt (.f64 y.im (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) (patch) () ())) ())
#s(alt (/.f64 (.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))) (taylor () 0 x.im) (#s(alt (.f64 y.im (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) (patch) () ())) ())
#s(alt (/.f64 (.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))) (taylor () 0 x.im) (#s(alt (.f64 y.im (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) (patch) () ())) ())
#s(alt (/.f64 (.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))) (taylor () inf x.im) (#s(alt (.f64 y.im (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) (patch) () ())) ())
#s(alt (/.f64 (.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))) (taylor () inf x.im) (#s(alt (.f64 y.im (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) (patch) () ())) ())
#s(alt (/.f64 (.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))) (taylor () inf x.im) (#s(alt (.f64 y.im (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) (patch) () ())) ())
#s(alt (/.f64 (.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))) (taylor () inf x.im) (#s(alt (.f64 y.im (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) (patch) () ())) ())
#s(alt (/.f64 (.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))) (taylor () -inf x.im) (#s(alt (.f64 y.im (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) (patch) () ())) ())
#s(alt (/.f64 (.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))) (taylor () -inf x.im) (#s(alt (.f64 y.im (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) (patch) () ())) ())
#s(alt (/.f64 (.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))) (taylor () -inf x.im) (#s(alt (.f64 y.im (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) (patch) () ())) ())
#s(alt (/.f64 (.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))) (taylor () -inf x.im) (#s(alt (.f64 y.im (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) (patch) () ())) ())
#s(alt (/.f64 (.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))) (taylor () 0 y.re) (#s(alt (.f64 y.im (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) (patch) () ())) ())
#s(alt (/.f64 (.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))) (taylor () 0 y.re) (#s(alt (.f64 y.im (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) (patch) () ())) ())
#s(alt (/.f64 (.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))) (taylor () 0 y.re) (#s(alt (.f64 y.im (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) (patch) () ())) ())
#s(alt (/.f64 (.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))) (taylor () 0 y.re) (#s(alt (.f64 y.im (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) (patch) () ())) ())
#s(alt (/.f64 (.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))) (taylor () inf y.re) (#s(alt (.f64 y.im (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) (patch) () ())) ())
#s(alt (/.f64 (.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))) (taylor () inf y.re) (#s(alt (.f64 y.im (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) (patch) () ())) ())
#s(alt (/.f64 (.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))) (taylor () inf y.re) (#s(alt (.f64 y.im (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) (patch) () ())) ())
#s(alt (/.f64 (.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))) (taylor () inf y.re) (#s(alt (.f64 y.im (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) (patch) () ())) ())
#s(alt (/.f64 (.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))) (taylor () -inf y.re) (#s(alt (.f64 y.im (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) (patch) () ())) ())
#s(alt (/.f64 (.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))) (taylor () -inf y.re) (#s(alt (.f64 y.im (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) (patch) () ())) ())
#s(alt (/.f64 (.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))) (taylor () -inf y.re) (#s(alt (.f64 y.im (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) (patch) () ())) ())
#s(alt (/.f64 (.f64 x.im y.im) (pow.f64 y.re #s(literal 2 binary64))) (taylor () -inf y.re) (#s(alt (.f64 y.im (/.f64 x.im (pow.f64 y.re #s(literal 2 binary64)))) (patch) () ())) ())

Calls

102 calls:

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

rewrite241.0ms (1.6%)

Memory

10.8MiB live, 159.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

979×	`prod-diff`
193×	`log1p-expm1-u`
193×	`expm1-log1p-u`
190×	`add-exp-log`
190×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	284
1	431	267
2	6393	267

Stop Event

1×	node limit

Counts

14 → 456

Calls

Call 1

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

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

simplify290.0ms (2%)

Memory

-5.4MiB live, 393.2MiB allocated

Algorithm

1×	egg-herbie

Rules

572×	`associate-r`
537×	`associate-l`
367×	`associate-*r/`
336×	`*-commutative`
315×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	971	19886
1	2087	19297
2	7438	19288

Stop Event

1×	node limit

Counts

768 → 571

Calls

Call 1

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

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

eval444.0ms (3%)

Memory: 6.8MiB live, 124.4MiB allocated
Compiler: Compiled 6 646 to 1 591 computations (76.1% saved)

prune319.0ms (2.2%)

Memory

17.2MiB live, 214.8MiB allocated

Pruning

18 alts after pruning (10 fresh and 8 done)

	Pruned	Kept	Total
New	568	3	571
Fresh	2	7	9
Picked	2	3	5
Done	0	5	5
Total	572	18	590

Accuracy

100.0%

Counts

590 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	23.2%	(/.f64 (/.f64 (*.f64 y.re x.re) y.im) y.im)
	26.3%	(/.f64 (/.f64 x.re (/.f64 y.im y.re)) y.im)
	52.6%	(/.f64 (+.f64 x.re (/.f64 (*.f64 y.im x.im) y.re)) y.re)
	54.2%	(/.f64 (+.f64 x.re (/.f64 x.im (/.f64 y.re y.im))) y.re)
✓	52.7%	(/.f64 (+.f64 x.im (*.f64 (/.f64 y.re y.im) x.re)) y.im)
✓	26.3%	(/.f64 (*.f64 x.re (/.f64 y.re y.im)) y.im)
	24.2%	(/.f64 (*.f64 x.im (/.f64 y.im y.re)) y.re)
✓	42.6%	(/.f64 x.re y.re)
✓	40.8%	(/.f64 x.im y.im)
✓	42.5%	(/.f64 #s(literal 1 binary64) (/.f64 y.re x.re))
	40.6%	(/.f64 #s(literal 1 binary64) (/.f64 y.im x.im))
	46.4%	(/.f64 #s(literal 1 binary64) (.f64 (hypot.f64 y.re y.im) (/.f64 (hypot.f64 y.re y.im) (.f64 x.im y.im))))
	52.2%	(+.f64 (/.f64 x.im y.im) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y.im y.re) (/.f64 y.im x.re))))
✓	48.8%	(+.f64 (/.f64 x.im y.im) (*.f64 y.re (/.f64 (/.f64 x.re y.im) y.im)))
	27.1%	(*.f64 (/.f64 y.re y.im) (/.f64 x.re y.im))
	42.5%	(*.f64 (/.f64 #s(literal 1 binary64) y.re) x.re)
✓	40.7%	(*.f64 (/.f64 #s(literal 1 binary64) y.im) x.im)
	19.3%	(.f64 y.im (/.f64 x.im (.f64 y.re y.re)))

Compiler

Compiled 574 to 252 computations (56.1% saved)

regimes185.0ms (1.3%)

Memory

-23.4MiB live, 116.0MiB allocated

Counts

37 → 2

Calls

Call 1

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

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

Calls

5 calls:

135.0ms	(/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
13.0ms	x.re
12.0ms	y.re
11.0ms	x.im
11.0ms	y.im

Results

Accuracy	Segments	Branch
77.0%	3	`x.re`
74.4%	2	`x.im`
82.6%	3	`y.re`
86.1%	5	`y.im`
85.5%	2	`(/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))`

Compiler

Compiled 39 to 27 computations (30.8% saved)

regimes35.0ms (0.2%)

Memory

-12.2MiB live, 68.5MiB allocated

Counts

34 → 4

Calls

Call 1

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

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

Calls

3 calls:

12.0ms	y.re
10.0ms	(/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
10.0ms	y.im

Results

Accuracy	Segments	Branch
83.3%	4	`y.re`
82.0%	4	`y.im`
80.7%	5	`(/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))`

Compiler

Compiled 29 to 19 computations (34.5% saved)

regimes10.0ms (0.1%)

Memory

26.9MiB live, 26.9MiB allocated

Counts

28 → 4

Calls

Call 1

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

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

Calls

1 calls:

8.0ms

y.re

Results

Accuracy	Segments	Branch
83.3%	4	`y.re`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes17.0ms (0.1%)

Memory

-9.4MiB live, 28.9MiB allocated

Counts

22 → 3

Calls

Call 1

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

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

Calls

2 calls:

9.0ms	y.re
7.0ms	y.im

Results

Accuracy	Segments	Branch
79.2%	3	`y.im`
79.3%	3	`y.re`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes69.0ms (0.5%)

Memory

-3.5MiB live, 35.3MiB allocated

Counts

17 → 3

Calls

Call 1

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

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

Calls

4 calls:

52.0ms	y.im
5.0ms	x.im
5.0ms	x.re
5.0ms	y.re

Results

Accuracy	Segments	Branch
56.3%	3	`x.im`
56.2%	2	`x.re`
71.1%	3	`y.im`
72.9%	3	`y.re`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes10.0ms (0.1%)

Memory

13.1MiB live, 13.1MiB allocated

Counts

13 → 3

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	y.im
4.0ms	y.re

Results

Accuracy	Segments	Branch
64.2%	3	`y.im`
65.4%	3	`y.re`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes3.0ms (0%)

Memory

5.5MiB live, 5.5MiB allocated

Counts

5 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

y.re

Results

Accuracy	Segments	Branch
65.2%	3	`y.re`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes57.0ms (0.4%)

Memory

-29.0MiB live, 10.5MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

52.0ms	y.re
1.0ms	x.im
1.0ms	y.im
1.0ms	x.re

Results

Accuracy	Segments	Branch
40.8%	1	`x.im`
40.8%	1	`x.re`
40.8%	1	`y.im`
40.8%	1	`y.re`

Compiler

Compiled 20 to 16 computations (20% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	5.434322986772503e+223	3.1213794552246576e+258

Compiler

Compiled 22 to 18 computations (18.2% saved)

bsearch92.0ms (0.6%)

Memory

19.3MiB live, 60.5MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
11.0ms	1.1366487724000628e+66	1.6385011415695028e+68
63.0ms	2.994554282699624e-160	7.585767707495295e-151
14.0ms	-6.313357601962e-8	-4.8744661581575916e-14

Samples

75.0ms

400×

valid

Compiler

Compiled 802 to 500 computations (37.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 10.0ms (64% of total)

ival-div: 3.0ms (19.2% of total)

ival-add: 3.0ms (19.2% of total)

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

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

bsearch83.0ms (0.6%)

Memory

-4.0MiB live, 74.2MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
49.0ms	1.1366487724000628e+66	1.6385011415695028e+68
14.0ms	2.994554282699624e-160	7.585767707495295e-151
16.0ms	-6.313357601962e-8	-4.8744661581575916e-14

Samples

28.0ms

400×

valid

Compiler

Compiled 818 to 516 computations (36.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 10.0ms (62.4% of total)

ival-add: 3.0ms (18.7% of total)

ival-div: 2.0ms (12.5% of total)

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

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

bsearch32.0ms (0.2%)

Memory

-21.0MiB live, 57.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	3.306969811450318e-31	5.916174636455821e-30
15.0ms	-6.313357601962e-8	-4.8744661581575916e-14

Samples

18.0ms

256×

valid

Compiler

Compiled 470 to 306 computations (34.9% saved)

Precisions

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

ival-mult: 6.0ms (58.6% of total)

ival-div: 2.0ms (19.5% of total)

ival-add: 2.0ms (19.5% of total)

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

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

bsearch30.0ms (0.2%)

Memory

23.4MiB live, 61.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	325408425749.4543	5426679640165.979
14.0ms	-6.313357601962e-8	-4.8744661581575916e-14

Samples

19.0ms

256×

valid

Compiler

Compiled 388 to 272 computations (29.9% saved)

Precisions

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

ival-mult: 6.0ms (58.5% of total)

ival-div: 2.0ms (19.5% of total)

ival-add: 2.0ms (19.5% of total)

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

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

bsearch31.0ms (0.2%)

Memory

-1.3MiB live, 75.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	3.4420644518200125e-52	1.1465859996238975e-41
12.0ms	-1.2100619250361543e-15	-6.709172434776967e-18

Samples

20.0ms

272×

valid

Compiler

Compiled 314 to 242 computations (22.9% saved)

Precisions

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

ival-mult: 7.0ms (65.9% of total)

ival-div: 2.0ms (18.8% of total)

ival-add: 2.0ms (18.8% of total)

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

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

bsearch33.0ms (0.2%)

Memory

15.7MiB live, 60.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	3.4420644518200125e-52	1.1465859996238975e-41
15.0ms	-1.2100619250361543e-15	-6.709172434776967e-18

Samples

22.0ms

272×

valid

Compiler

Compiled 294 to 222 computations (24.5% saved)

Precisions

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

ival-mult: 11.0ms (73.8% of total)

ival-div: 2.0ms (13.4% of total)

ival-add: 2.0ms (13.4% of total)

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

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

simplify10.0ms (0.1%)

Memory

-18.6MiB live, 20.0MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	87	972
1	110	972

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im))) #s(literal 99999999999999996954903517948319502092964807244749211214842475260109694882873713352688654575305085714037182409224841134505892881183378706080253249519082903930108094789640533388351546084948006950326015738792668900564521713664 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (.f64 x.im y.im)) (hypot.f64 y.re y.im))) (/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re))
(if (<=.f64 y.re #s(literal -146393360968959/2361183241434822606848 binary64)) (/.f64 (+.f64 x.re (.f64 x.im (/.f64 y.im y.re))) y.re) (if (<=.f64 y.re #s(literal 3396566182339387/7547924849643082704483109161976537781833842440832880856752412600491248324784297704172253450355317535082936750061527689799541169259849585265122868502865392087298790653952 binary64)) (/.f64 (+.f64 x.im (.f64 x.re (/.f64 y.re y.im))) y.im) (if (<=.f64 y.re #s(literal 150000000000000010879715457229385268923756161446978293327731523321856 binary64)) (/.f64 (fma.f64 y.re x.re (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im))) (/.f64 (+.f64 x.re (.f64 x.im (/.f64 y.im y.re))) y.re))))
(if (<=.f64 y.re #s(literal -5996272065288561/9671406556917033397649408 binary64)) (/.f64 (+.f64 x.re (.f64 x.im (/.f64 y.im y.re))) y.re) (if (<=.f64 y.re #s(literal 2122853863962117/58968162887836583628774290327941701420576894069006881693378223441337877537377325813845730080900918242835443359855685076558915384842574884883772410178635875682021801984 binary64)) (/.f64 (+.f64 x.im (.f64 x.re (/.f64 y.re y.im))) y.im) (if (<=.f64 y.re #s(literal 159999999999999997237884125426969573075836526009294916457234354405376 binary64)) (/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im))) (/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re))))
(if (<=.f64 y.re #s(literal -4533471823554859/75557863725914323419136 binary64)) (/.f64 (+.f64 x.re (.f64 x.im (/.f64 y.im y.re))) y.re) (if (<=.f64 y.re #s(literal 7849862309882779/1427247692705959881058285969449495136382746624 binary64)) (/.f64 (+.f64 x.im (.f64 x.re (/.f64 y.re y.im))) y.im) (/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)))
(if (<=.f64 y.re #s(literal -3475661731392059/151115727451828646838272 binary64)) (/.f64 x.re y.re) (if (<=.f64 y.re #s(literal 5200000000000 binary64)) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im) (/.f64 #s(literal 1 binary64) (/.f64 y.re x.re))))
(if (<=.f64 y.re #s(literal -7301667457314601/81129638414606681695789005144064 binary64)) (/.f64 x.re y.re) (if (<=.f64 y.re #s(literal 8474087342772019/1569275433846670190958947355801916604025588861116008628224 binary64)) (/.f64 x.im y.im) (/.f64 #s(literal 1 binary64) (/.f64 y.re x.re))))
(if (<=.f64 y.re #s(literal -4360718064785109/10141204801825835211973625643008 binary64)) (/.f64 x.re y.re) (if (<=.f64 y.re #s(literal 4001652356309009/392318858461667547739736838950479151006397215279002157056 binary64)) (/.f64 x.im y.im) (/.f64 x.re y.re)))
(/.f64 x.im y.im)

Outputs
(if (<=.f64 (/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im))) #s(literal 99999999999999996954903517948319502092964807244749211214842475260109694882873713352688654575305085714037182409224841134505892881183378706080253249519082903930108094789640533388351546084948006950326015738792668900564521713664 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 y.re y.im)) (/.f64 (fma.f64 x.re y.re (.f64 x.im y.im)) (hypot.f64 y.re y.im))) (/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re))
(if (<=.f64 y.re #s(literal -146393360968959/2361183241434822606848 binary64)) (/.f64 (+.f64 x.re (.f64 x.im (/.f64 y.im y.re))) y.re) (if (<=.f64 y.re #s(literal 3396566182339387/7547924849643082704483109161976537781833842440832880856752412600491248324784297704172253450355317535082936750061527689799541169259849585265122868502865392087298790653952 binary64)) (/.f64 (+.f64 x.im (.f64 x.re (/.f64 y.re y.im))) y.im) (if (<=.f64 y.re #s(literal 150000000000000010879715457229385268923756161446978293327731523321856 binary64)) (/.f64 (fma.f64 y.re x.re (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im))) (/.f64 (+.f64 x.re (.f64 x.im (/.f64 y.im y.re))) y.re))))
(if (<=.f64 y.re #s(literal -5996272065288561/9671406556917033397649408 binary64)) (/.f64 (+.f64 x.re (.f64 x.im (/.f64 y.im y.re))) y.re) (if (<=.f64 y.re #s(literal 2122853863962117/58968162887836583628774290327941701420576894069006881693378223441337877537377325813845730080900918242835443359855685076558915384842574884883772410178635875682021801984 binary64)) (/.f64 (+.f64 x.im (.f64 x.re (/.f64 y.re y.im))) y.im) (if (<=.f64 y.re #s(literal 159999999999999997237884125426969573075836526009294916457234354405376 binary64)) (/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im))) (/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re))))
(if (<=.f64 y.re #s(literal -4533471823554859/75557863725914323419136 binary64)) (/.f64 (+.f64 x.re (.f64 x.im (/.f64 y.im y.re))) y.re) (if (<=.f64 y.re #s(literal 7849862309882779/1427247692705959881058285969449495136382746624 binary64)) (/.f64 (+.f64 x.im (.f64 x.re (/.f64 y.re y.im))) y.im) (/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)))
(if (or (<=.f64 y.re #s(literal -4533471823554859/75557863725914323419136 binary64)) (not (<=.f64 y.re #s(literal 7849862309882779/1427247692705959881058285969449495136382746624 binary64)))) (/.f64 (+.f64 x.re (.f64 x.im (/.f64 y.im y.re))) y.re) (/.f64 (+.f64 x.im (.f64 x.re (/.f64 y.re y.im))) y.im))
(if (<=.f64 y.re #s(literal -3475661731392059/151115727451828646838272 binary64)) (/.f64 x.re y.re) (if (<=.f64 y.re #s(literal 5200000000000 binary64)) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im) (/.f64 #s(literal 1 binary64) (/.f64 y.re x.re))))
(if (<=.f64 y.re #s(literal -7301667457314601/81129638414606681695789005144064 binary64)) (/.f64 x.re y.re) (if (<=.f64 y.re #s(literal 8474087342772019/1569275433846670190958947355801916604025588861116008628224 binary64)) (/.f64 x.im y.im) (/.f64 #s(literal 1 binary64) (/.f64 y.re x.re))))
(if (<=.f64 y.re #s(literal -4360718064785109/10141204801825835211973625643008 binary64)) (/.f64 x.re y.re) (if (<=.f64 y.re #s(literal 4001652356309009/392318858461667547739736838950479151006397215279002157056 binary64)) (/.f64 x.im y.im) (/.f64 x.re y.re)))
(if (or (<=.f64 y.re #s(literal -4360718064785109/10141204801825835211973625643008 binary64)) (not (<=.f64 y.re #s(literal 4001652356309009/392318858461667547739736838950479151006397215279002157056 binary64)))) (/.f64 x.re y.re) (/.f64 x.im y.im))
(/.f64 x.im y.im)

soundness1.8s (12.5%)

Memory

18.7MiB live, 1 041.2MiB allocated

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	580	21659
1	1440	20413
2	4725	20293
0	22	236
1	267	221
2	3561	221
0	70	976
1	162	976
2	263	976
3	484	976
4	1174	976
5	3112	976
6	4405	976
7	5572	976
8	6433	976
9	6831	976
10	6959	976
11	7132	976
12	7586	976
13	7586	976
14	7586	976
15	7586	976
16	7946	976
0	32	411
1	523	399
2	7736	399
0	1556	40582
1	4077	38777

Stop Event

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

Compiler

Compiled 721 to 206 computations (71.4% saved)

preprocess56.0ms (0.4%)

Memory: 23.9MiB live, 137.1MiB allocated
Compiler: Compiled 524 to 178 computations (66% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	32	583
1	61	565
2	101	553
3	206	553
4	367	553
5	515	553
6	629	553
7	741	553
8	775	553
9	822	553
10	863	553

Iter	Nodes	Cost
0	27	349
1	51	335
2	78	329
3	122	329
4	205	329
5	339	329
6	437	329
7	463	329
8	467	329
9	492	329
10	513	329
11	514	329

Iter	Nodes	Cost
0	32	583
1	61	565
2	101	553
3	206	553
4	367	553
5	515	553
6	629	553
7	741	553
8	775	553
9	822	553
10	863	553

Iter	Nodes	Cost
0	27	349
1	51	335
2	78	329
3	122	329
4	205	329
5	339	329
6	437	329
7	463	329
8	467	329
9	492	329
10	513	329
11	514	329

analyze27.0ms (0.2%)

sample5.3s (35.6%)

preprocess486.0ms (3.3%)

explain445.0ms (3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify8.0ms (0.1%)

localize116.0ms (0.8%)

series32.0ms (0.2%)

rewrite355.0ms (2.4%)

simplify244.0ms (1.7%)

eval39.0ms (0.3%)

prune121.0ms (0.8%)

simplify45.0ms (0.3%)

localize84.0ms (0.6%)

series65.0ms (0.4%)

rewrite262.0ms (1.8%)

simplify364.0ms (2.5%)

eval392.0ms (2.7%)

prune348.0ms (2.4%)

simplify57.0ms (0.4%)

localize171.0ms (1.2%)

series85.0ms (0.6%)

rewrite330.0ms (2.2%)

simplify853.0ms (5.8%)

eval247.0ms (1.7%)

prune315.0ms (2.1%)

simplify38.0ms (0.3%)

localize61.0ms (0.4%)

series31.0ms (0.2%)

rewrite241.0ms (1.6%)

simplify290.0ms (2%)

eval444.0ms (3%)

prune319.0ms (2.2%)

regimes185.0ms (1.3%)

regimes35.0ms (0.2%)

regimes10.0ms (0.1%)

regimes17.0ms (0.1%)

regimes69.0ms (0.5%)

regimes10.0ms (0.1%)

regimes3.0ms (0%)

regimes57.0ms (0.4%)

bsearch0.0ms (0%)

bsearch92.0ms (0.6%)

bsearch83.0ms (0.6%)

bsearch32.0ms (0.2%)

bsearch30.0ms (0.2%)

bsearch31.0ms (0.2%)

bsearch33.0ms (0.2%)

simplify10.0ms (0.1%)

soundness1.8s (12.5%)

preprocess56.0ms (0.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	32	583
1	61	565
2	101	553
3	206	553
4	367	553
5	515	553
6	629	553
7	741	553
8	775	553
9	822	553
10	863	553

Iter	Nodes	Cost
0	27	349
1	51	335
2	78	329
3	122	329
4	205	329
5	339	329
6	437	329
7	463	329
8	467	329
9	492	329
10	513	329
11	514	329