Metrics for _divideComplex, real part

analyze61.0ms (0.6%)

Memory

-12.4MiB live, 30.1MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 17 to 13 computations (23.5% saved)

sample1.2s (11.2%)

Memory

5.2MiB live, 1 500.2MiB allocated

Samples

823.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 545.0ms

ival-mult: 357.0ms (65.5% of total)

ival-div: 90.0ms (16.5% of total)

ival-add: 89.0ms (16.3% of total)

ival-true: 6.0ms (1.1% of total)

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

Bogosity

preprocess425.0ms (4%)

Memory

5.0MiB live, 124.5MiB 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)))

explain125.0ms (1.2%)

Memory

14.1MiB live, 208.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
114	-	1	(7.696543078086795e+189 9.137053149601842e-189 3.7741574279841306e-293 9.926299017705008e-157)	`(/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))`
2	-	0	-	`(+.f64 (.f64 x.re y.re) (.f64 x.im y.im))`
0	-	0	-	`(+.f64 (.f64 y.re y.re) (.f64 y.im y.im))`
0	-	0	-	`(*.f64 y.re y.re)`
0	-	0	-	`(*.f64 x.re y.re)`
0	-	0	-	`(*.f64 y.im y.im)`
0	-	0	-	`x.re`
0	-	0	-	`y.re`
0	-	0	-	`y.im`
0	-	0	-	`(*.f64 x.im y.im)`
0	-	0	-	`x.im`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))`	o/o	54	0
↳	`(+.f64 (.f64 x.re y.re) (.f64 x.im y.im))`	overflow	69
↳	`(*.f64 x.im y.im)`	overflow	37
↳	`(*.f64 x.re y.re)`	overflow	37
↳	`(*.f64 y.re y.re)`	overflow	70
↳	`(*.f64 y.im y.im)`	overflow	60
↳	`(+.f64 (.f64 y.re y.re) (.f64 y.im y.im))`	overflow	115
`/.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	37	0
↳	`(*.f64 y.re y.re)`	overflow	70
↳	`(*.f64 y.im y.im)`	overflow	60
↳	`(+.f64 (.f64 y.re y.re) (.f64 y.im y.im))`	overflow	115
`/.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	15	0
↳	`(+.f64 (.f64 x.re y.re) (.f64 x.im y.im))`	overflow	69
↳	`(*.f64 x.im y.im)`	overflow	37
↳	`(*.f64 x.re y.re)`	overflow	37
`/.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	53
↳	`(*.f64 y.im y.im)`	underflow	55
↳	`(+.f64 (.f64 y.re y.re) (.f64 y.im y.im))`	underflow	10
`+.f64`	`(+.f64 (.f64 x.re y.re) (.f64 x.im y.im))`	nan-rescue	2	0
↳	`(*.f64 x.re y.re)`	overflow	37
↳	`(*.f64 x.im y.im)`	overflow	37
`/.f64`	`(/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))`	u/n	1	0
↳	`(+.f64 (.f64 x.re y.re) (.f64 x.im y.im))`	underflow	2
↳	`(*.f64 x.im y.im)`	underflow	26
↳	`(*.f64 x.re y.re)`	underflow	24
`/.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	1	0
↳	`(+.f64 (.f64 x.re y.re) (.f64 x.im y.im))`	underflow	2
↳	`(*.f64 x.im y.im)`	underflow	26
↳	`(*.f64 x.re y.re)`	underflow	24
↳	`(*.f64 y.re y.re)`	underflow	53
↳	`(*.f64 y.im y.im)`	underflow	55
↳	`(+.f64 (.f64 y.re y.re) (.f64 y.im y.im))`	underflow	10

Confusion

	Predicted +	Predicted -
+	113	1
-	0	142

Precision

1.0

Recall

0.9912280701754386

Confusion?

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

Precision?

1.0

Recall?

0.9912280701754386

Freqs

test

number	freq
0	143
1	111
2	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

44.0ms

512×

valid

Compiler

Compiled 132 to 48 computations (63.6% saved)

Precisions

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

ival-mult: 18.0ms (69.8% of total)

ival-add: 4.0ms (15.5% of total)

ival-div: 3.0ms (11.6% of total)

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

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

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 17 to 9 computations (47.1% saved)

prune1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	57.6%	(/.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 19 to 11 computations (42.1% saved)

simplify7.0ms (0.1%)

Memory

5.7MiB live, 5.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 y.im y.im)
✓	cost-diff	(*.f64 y.re y.re)
✓	cost-diff	(*.f64 x.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	18	181
1	25	181
2	29	181

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)

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)

localize164.0ms (1.5%)

Memory

0.6MiB live, 37.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x.im y.im)
✓	accuracy	100.0%	(+.f64 (.f64 y.re y.re) (.f64 y.im y.im))
✓	accuracy	99.4%	(+.f64 (.f64 x.re y.re) (.f64 x.im y.im))
✓	accuracy	57.9%	(/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))

Samples

19.0ms

256×

valid

Compiler

Compiled 47 to 13 computations (72.3% saved)

Precisions

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

ival-mult: 7.0ms (65.8% 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)

series25.0ms (0.2%)

Memory

-13.0MiB live, 30.6MiB allocated

Counts

7 → 144

Calls

Call 1

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

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

Calls

48 calls:

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

rewrite410.0ms (3.8%)

Memory

30.0MiB live, 348.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	153
1	254	143
2	3547	143

Stop Event

1×	node limit

Counts

7 → 210

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

simplify391.0ms (3.6%)

Memory

-32.1MiB live, 241.5MiB allocated

Algorithm

1×	egg-herbie

Rules

533×	`distribute-lft-neg-in`
477×	`distribute-rgt-neg-in`
380×	`fmm-def`
253×	`associate-r`
236×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	606	13204
1	1504	12488
2	4849	12428

Stop Event

1×	node limit

Counts

354 → 336

Calls

Call 1

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

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

eval44.0ms (0.4%)

Memory: 2.2MiB live, 80.7MiB allocated
Compiler: Compiled 6 646 to 1 153 computations (82.7% saved)

prune306.0ms (2.9%)

Memory

-183.7MiB live, 191.1MiB allocated

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	322	14	336
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	323	14	337

Accuracy

99.6%

Counts

337 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	35.2%	(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))
	53.1%	(/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) y.re)
	32.9%	(/.f64 (+.f64 (.f64 x.re y.re) (pow.f64 (sqrt.f64 (.f64 x.im y.im)) #s(literal 2 binary64))) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
	43.1%	(/.f64 (+.f64 (cbrt.f64 (pow.f64 (.f64 x.re y.re) #s(literal 3 binary64))) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
	51.8%	(/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)
	53.1%	(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
▶	50.9%	(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
	54.0%	(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im)
▶	36.7%	(/.f64 (*.f64 y.re x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
	36.7%	(/.f64 (.f64 y.re x.re) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
▶	36.8%	(/.f64 (.f64 y.im x.im) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
	40.4%	(/.f64 x.re y.re)
▶	40.7%	(/.f64 x.im y.im)
▶	57.3%	(.f64 (fma.f64 x.re y.re (.f64 x.im y.im)) (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))))

Compiler

Compiled 400 to 254 computations (36.5% saved)

simplify44.0ms (0.4%)

Memory

-0.4MiB live, 39.1MiB 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 y.re x.re)
✓	cost-diff	0	(/.f64 (*.f64 y.re x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
✓	cost-diff	-12544	(/.f64 (.f64 y.im x.im) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
	cost-diff	0	(*.f64 y.im y.im)
	cost-diff	0	(*.f64 y.re y.re)
✓	cost-diff	0	(*.f64 y.im x.im)
✓	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 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
	cost-diff	0	(*.f64 x.im y.im)
✓	cost-diff	0	(fma.f64 x.re y.re (*.f64 x.im y.im))
✓	cost-diff	128	(.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))))

Rules

127×	`fma-define`
114×	`times-frac`
81×	`associate-r`
64×	`associate-*r/`
63×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	525
1	55	503
2	94	503
3	177	503
4	302	503
5	506	503
6	571	503
7	611	503
8	651	503
9	735	503
10	817	503
11	826	503

Stop Event

1×

saturated

Calls

Call 1

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

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

localize170.0ms (1.6%)

Memory

6.9MiB live, 204.8MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(hypot.f64 y.re y.im)
✓	accuracy	100.0%	(*.f64 y.re x.re)
✓	accuracy	100.0%	(pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))
✓	accuracy	71.1%	(/.f64 (*.f64 y.re x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
	accuracy	100.0%	(*.f64 y.im y.im)
✓	accuracy	100.0%	(*.f64 y.im x.im)
	accuracy	100.0%	(+.f64 (.f64 y.re y.re) (.f64 y.im y.im))
✓	accuracy	73.1%	(/.f64 (.f64 y.im x.im) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
	accuracy	100.0%	(*.f64 x.re y.re)
✓	accuracy	100.0%	(+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im))
✓	accuracy	99.2%	(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
✓	accuracy	92.4%	(/.f64 (*.f64 x.re y.re) y.im)
✓	accuracy	100.0%	(/.f64 x.im y.im)
✓	accuracy	100.0%	(fma.f64 x.re y.re (*.f64 x.im y.im))
✓	accuracy	100.0%	(pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64))
✓	accuracy	99.5%	(/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
✓	accuracy	58.0%	(.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))))

Samples

141.0ms

256×

valid

Compiler

Compiled 133 to 26 computations (80.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 117.0ms

ival-mult: 96.0ms (82.1% of total)

ival-div: 10.0ms (8.6% of total)

ival-hypot: 5.0ms (4.3% of total)

ival-add: 3.0ms (2.6% of total)

ival-pow2: 2.0ms (1.7% of total)

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

...in/eval/compile.rkt:104:19: 0.0ms (0% of total)

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

series63.0ms (0.6%)

Memory

-30.2MiB live, 127.3MiB allocated

Counts

13 → 366

Calls

Call 1

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

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

Calls

111 calls:

Time	Variable		Point	Expression
17.0ms	y.re	@	inf	(/ (+ x.im (/ (* x.re y.re) y.im)) y.im)
3.0ms	y.re	@	inf	(* (+ (* x.re y.re) (* x.im y.im)) (/ 1 (pow (sqrt (+ (* y.re y.re) (* y.im y.im))) 2)))
1.0ms	y.re	@	0	(sqrt (+ (* y.re y.re) (* y.im y.im)))
1.0ms	x.im	@	inf	(/ (* y.im x.im) (+ (* y.re y.re) (* y.im y.im)))
1.0ms	y.re	@	inf	(/ (* y.re x.re) (pow (sqrt (+ (* y.re y.re) (* y.im y.im))) 2))

rewrite348.0ms (3.3%)

Memory

2.1MiB live, 206.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

988×	`log1p-expm1-u`
204×	`expm1-log1p-u`
199×	`add-exp-log`
199×	`add-log-exp`
199×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	335
1	521	327
2	6682	327

Stop Event

1×	node limit

Counts

13 → 435

Calls

Call 1

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

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

simplify510.0ms (4.8%)

Memory

21.1MiB live, 449.2MiB allocated

Algorithm

1×	egg-herbie

Rules

866×	`times-frac`
616×	`fma-define`
366×	`*-commutative`
295×	`distribute-lft-in`
193×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1390	33453
1	3564	31926

Stop Event

1×	node limit

Counts

801 → 893

Calls

Call 1

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

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

eval147.0ms (1.4%)

Memory: 14.1MiB live, 323.0MiB allocated
Compiler: Compiled 21 163 to 3 433 computations (83.8% saved)

prune637.0ms (5.9%)

Memory

-7.7MiB live, 349.6MiB allocated

Pruning

20 alts after pruning (16 fresh and 4 done)

	Pruned	Kept	Total
New	1 142	11	1 153
Fresh	4	5	9
Picked	1	4	5
Done	0	0	0
Total	1 147	20	1 167

Accuracy

100.0%

Counts

1 167 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	53.1%	(/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) y.re)
▶	21.5%	(/.f64 (/.f64 (*.f64 x.re y.re) y.im) y.im)
	51.8%	(/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)
	53.1%	(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
✓	50.9%	(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
	54.0%	(/.f64 (+.f64 x.im (*.f64 (/.f64 y.re y.im) x.re)) y.im)
	21.7%	(/.f64 (*.f64 y.re (/.f64 x.re y.im)) y.im)
✓	36.7%	(/.f64 (*.f64 y.re x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
▶	36.7%	(/.f64 (.f64 y.re x.re) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
✓	36.8%	(/.f64 (.f64 y.im x.im) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
▶	40.4%	(/.f64 x.re y.re)
✓	40.7%	(/.f64 x.im y.im)
	51.4%	(/.f64 #s(literal 1 binary64) (/.f64 y.im (fma.f64 y.re (/.f64 x.re y.im) x.im)))
	39.9%	(/.f64 #s(literal 1 binary64) (/.f64 y.im x.im))
▶	36.4%	(.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) (.f64 x.re y.re))
	53.2%	(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) y.im)))
	55.9%	(*.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.re (hypot.f64 y.re y.im)))
▶	56.9%	(*.f64 (/.f64 y.im (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)))
	40.6%	(*.f64 (/.f64 #s(literal 1 binary64) y.im) x.im)
	38.1%	(.f64 (.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64)) x.im) y.im)

Compiler

Compiled 470 to 293 computations (37.7% saved)

simplify17.0ms (0.2%)

Memory

28.0MiB live, 28.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(*.f64 x.re y.re)
	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 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) (.f64 x.re y.re))
✓	cost-diff	-6272	(/.f64 (.f64 y.re x.re) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
	cost-diff	0	(*.f64 y.im y.im)
	cost-diff	0	(*.f64 y.re y.re)
	cost-diff	0	(*.f64 y.re x.re)
	cost-diff	0	(*.f64 x.re y.re)
	cost-diff	0	(/.f64 (*.f64 x.re y.re) y.im)
✓	cost-diff	0	(/.f64 (/.f64 (*.f64 x.re y.re) y.im) y.im)
✓	cost-diff	0	(/.f64 x.re y.re)
✓	cost-diff	0	(/.f64 x.im (hypot.f64 y.re y.im))
	cost-diff	0	(hypot.f64 y.re y.im)
✓	cost-diff	0	(/.f64 y.im (hypot.f64 y.re y.im))
✓	cost-diff	6400	(*.f64 (/.f64 y.im (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)))

Rules

17×	`*-commutative`
11×	`associate-/l*`
10×	`associate-*r/`
6×	`associate-*l/`
5×	`times-frac`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	27	435
1	46	435
2	77	435
3	93	431
4	99	431
5	108	431
6	116	431
7	116	431

Stop Event

1×

saturated

Calls

Call 1

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

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

localize69.0ms (0.6%)

Memory

4.9MiB live, 120.6MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(hypot.f64 y.re y.im)
	accuracy	100.0%	(*.f64 x.re y.re)
✓	accuracy	100.0%	(pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64))
✓	accuracy	70.8%	(.f64 (pow.f64 (hypot.f64 y.re y.im) #s(literal -2 binary64)) (.f64 x.re y.re))
	accuracy	100.0%	(*.f64 y.re x.re)
	accuracy	100.0%	(*.f64 y.im y.im)
	accuracy	100.0%	(+.f64 (.f64 y.re y.re) (.f64 y.im y.im))
✓	accuracy	71.1%	(/.f64 (.f64 y.re x.re) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
	accuracy	100.0%	(*.f64 x.re y.re)
✓	accuracy	98.1%	(/.f64 (/.f64 (*.f64 x.re y.re) y.im) y.im)
	accuracy	92.4%	(/.f64 (*.f64 x.re y.re) y.im)
✓	accuracy	100.0%	(/.f64 x.re y.re)
	accuracy	100.0%	(hypot.f64 y.re y.im)
✓	accuracy	100.0%	(/.f64 y.im (hypot.f64 y.re y.im))
✓	accuracy	100.0%	(/.f64 x.im (hypot.f64 y.re y.im))
✓	accuracy	98.1%	(*.f64 (/.f64 y.im (hypot.f64 y.re y.im)) (/.f64 x.im (hypot.f64 y.re y.im)))

Samples

45.0ms

256×

valid

Compiler

Compiled 106 to 22 computations (79.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-div: 11.0ms (36.8% of total)

ival-mult: 9.0ms (30.1% of total)

ival-hypot: 4.0ms (13.4% of total)

ival-pow: 4.0ms (13.4% of total)

ival-add: 1.0ms (3.3% of total)

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

...in/eval/compile.rkt:104:19: 0.0ms (0% of total)

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

series79.0ms (0.7%)

Memory

-28.1MiB live, 64.6MiB allocated

Counts

8 → 228

Calls

Call 1

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

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

Calls

63 calls:

Time	Variable		Point	Expression
11.0ms	y.re	@	inf	(/ (/ (* x.re y.re) y.im) y.im)
1.0ms	x.im	@	0	(/ x.im (sqrt (+ (* y.re y.re) (* y.im y.im))))
1.0ms	y.re	@	inf	(/ y.im (sqrt (+ (* y.re y.re) (* y.im y.im))))
1.0ms	y.im	@	0	(/ y.im (sqrt (+ (* y.re y.re) (* y.im y.im))))
1.0ms	y.im	@	inf	(/ y.im (sqrt (+ (* y.re y.re) (* y.im y.im))))

rewrite210.0ms (2%)

Memory

2.8MiB live, 121.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

711×	`prod-diff`
349×	`log1p-expm1-u`
193×	`expm1-log1p-u`
191×	`add-exp-log`
189×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	230
1	450	215
2	6401	215

Stop Event

1×	node limit

Counts

8 → 334

Calls

Call 1

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

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

simplify359.0ms (3.4%)

Memory

8.0MiB live, 361.5MiB allocated

Algorithm

1×	egg-herbie

Rules

530×	`associate-r`
504×	`associate-l`
414×	`associate-*r/`
390×	`fma-define`
349×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1116	25955
1	2978	24417

Stop Event

1×	node limit

Counts

562 → 610

Calls

Call 1

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

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

eval273.0ms (2.5%)

Memory: 14.6MiB live, 249.2MiB allocated
Compiler: Compiled 20 597 to 3 197 computations (84.5% saved)

prune285.0ms (2.7%)

Memory

-23.3MiB live, 451.2MiB allocated

Pruning

27 alts after pruning (20 fresh and 7 done)

	Pruned	Kept	Total
New	1 051	12	1 063
Fresh	3	8	11
Picked	2	3	5
Done	0	4	4
Total	1 056	27	1 083

Accuracy

100.0%

Counts

1 083 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	21.5%	(pow.f64 (.f64 y.im (/.f64 y.im (.f64 y.re x.re))) #s(literal -1 binary64))
	53.1%	(/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) y.re)
✓	21.5%	(/.f64 (/.f64 (*.f64 x.re y.re) y.im) y.im)
	56.3%	(/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (/.f64 (hypot.f64 y.im y.re) x.im))
▶	21.5%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 y.im (*.f64 y.re x.re))) y.im)
	51.8%	(/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)
	53.1%	(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
✓	50.9%	(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
	22.8%	(/.f64 (*.f64 (/.f64 y.re y.im) x.re) y.im)
▶	57.3%	(/.f64 (*.f64 (/.f64 x.im (hypot.f64 y.im y.re)) (neg.f64 y.im)) (neg.f64 (hypot.f64 y.im y.re)))
✓	36.7%	(/.f64 (*.f64 y.re x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
✓	36.7%	(/.f64 (.f64 y.re x.re) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
✓	36.8%	(/.f64 (.f64 y.im x.im) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
✓	40.4%	(/.f64 x.re y.re)
✓	40.7%	(/.f64 x.im y.im)
	40.1%	(/.f64 #s(literal 1 binary64) (/.f64 y.re x.re))
	39.9%	(/.f64 #s(literal 1 binary64) (/.f64 y.im x.im))
	21.2%	(.f64 (pow.f64 y.im #s(literal -2 binary64)) (.f64 x.re y.re))
	53.2%	(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y.im) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (fma.f64 x.re (/.f64 y.re y.im) x.im) y.im)))
	18.5%	(*.f64 (/.f64 (neg.f64 y.im) y.re) (/.f64 x.im (hypot.f64 y.re y.im)))
	55.9%	(*.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.re (hypot.f64 y.re y.im)))
	15.5%	(*.f64 (/.f64 y.im (hypot.f64 y.re y.im)) (/.f64 x.im y.re))
	40.3%	(*.f64 (/.f64 #s(literal 1 binary64) y.re) x.re)
▶	40.6%	(*.f64 (/.f64 #s(literal 1 binary64) y.im) x.im)
	38.1%	(.f64 (.f64 (pow.f64 (hypot.f64 y.im y.re) #s(literal -2 binary64)) x.im) y.im)
▶	21.3%	(*.f64 x.re (/.f64 (/.f64 y.re y.im) y.im))
	21.5%	(exp.f64 (log.f64 (/.f64 x.re y.re)))

Compiler

Compiled 595 to 382 computations (35.8% saved)

simplify510.0ms (4.8%)

Memory

4.7MiB live, 60.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(*.f64 y.re x.re)
✓	cost-diff	0	(/.f64 y.im (*.f64 y.re x.re))
✓	cost-diff	0	(.f64 y.im (/.f64 y.im (.f64 y.re x.re)))
✓	cost-diff	6464	(pow.f64 (.f64 y.im (/.f64 y.im (.f64 y.re x.re))) #s(literal -1 binary64))
	cost-diff	0	(*.f64 y.re x.re)
✓	cost-diff	0	(/.f64 y.im (*.f64 y.re x.re))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 y.im (*.f64 y.re x.re)))
✓	cost-diff	128	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 y.im (*.f64 y.re x.re))) y.im)
✓	cost-diff	0	(/.f64 y.re y.im)
✓	cost-diff	0	(/.f64 (/.f64 y.re y.im) y.im)
✓	cost-diff	0	(*.f64 x.re (/.f64 (/.f64 y.re y.im) y.im))
✓	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	0	(hypot.f64 y.im y.re)
✓	cost-diff	0	(/.f64 x.im (hypot.f64 y.im y.re))
✓	cost-diff	0	(*.f64 (/.f64 x.im (hypot.f64 y.im y.re)) (neg.f64 y.im))
✓	cost-diff	6528	(/.f64 (*.f64 (/.f64 x.im (hypot.f64 y.im y.re)) (neg.f64 y.im)) (neg.f64 (hypot.f64 y.im y.re)))

Rules

1 381×	`fma-define`
534×	`div-sub`
382×	`fmm-def`
243×	`associate-/r*`
224×	`unsub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	497
1	67	489
2	161	473
3	445	473
4	1091	473
5	2081	473
6	3339	473
7	4713	473
8	5790	473
9	6349	473
10	6627	473
11	6784	473
12	6784	473
13	6784	473
14	6784	473
15	6836	473
16	6848	473
17	6860	473
18	6882	473
19	6902	473
20	6902	473
21	6902	473

Stop Event

1×

saturated

Calls

Call 1

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

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

localize267.0ms (2.5%)

Memory

3.1MiB live, 196.3MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(*.f64 y.re x.re)
✓	accuracy	99.4%	(pow.f64 (.f64 y.im (/.f64 y.im (.f64 y.re x.re))) #s(literal -1 binary64))
✓	accuracy	98.4%	(.f64 y.im (/.f64 y.im (.f64 y.re x.re)))
✓	accuracy	92.4%	(/.f64 y.im (*.f64 y.re x.re))
	accuracy	100.0%	(*.f64 y.re x.re)
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 y.im (*.f64 y.re x.re)))
✓	accuracy	98.1%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 y.im (*.f64 y.re x.re))) y.im)
✓	accuracy	92.4%	(/.f64 y.im (*.f64 y.re x.re))
✓	accuracy	100.0%	(/.f64 y.re y.im)
✓	accuracy	99.8%	(/.f64 (/.f64 y.re y.im) y.im)
✓	accuracy	89.7%	(*.f64 x.re (/.f64 (/.f64 y.re y.im) y.im))
✓	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%	(neg.f64 y.im)
✓	accuracy	100.0%	(/.f64 x.im (hypot.f64 y.im y.re))
✓	accuracy	99.3%	(/.f64 (*.f64 (/.f64 x.im (hypot.f64 y.im y.re)) (neg.f64 y.im)) (neg.f64 (hypot.f64 y.im y.re)))
✓	accuracy	85.8%	(*.f64 (/.f64 x.im (hypot.f64 y.im y.re)) (neg.f64 y.im))

Samples

239.0ms

256×

valid

Compiler

Compiled 125 to 25 computations (80% saved)

Precisions

Click to see histograms. Total time spent on operations: 98.0ms

ival-mult: 40.0ms (41% of total)

ival-pow: 27.0ms (27.7% of total)

ival-div: 23.0ms (23.6% of total)

ival-hypot: 5.0ms (5.1% of total)

ival-neg: 2.0ms (2.1% of total)

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

...in/eval/compile.rkt:104:19: 0.0ms (0% of total)

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

series416.0ms (3.9%)

Memory

-16.4MiB live, 98.3MiB allocated

Counts

15 → 408

Calls

Call 1

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

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

Calls

111 calls:

Time	Variable		Point	Expression
376.0ms	y.re	@	0	(* (/ x.im (sqrt (+ (* y.im y.im) (* y.re y.re)))) (neg y.im))
2.0ms	y.im	@	inf	(/ y.im (* y.re x.re))
1.0ms	y.re	@	inf	(* (/ x.im (sqrt (+ (* y.im y.im) (* y.re y.re)))) (neg y.im))
1.0ms	x.im	@	0	(* (/ x.im (sqrt (+ (* y.im y.im) (* y.re y.re)))) (neg y.im))
1.0ms	y.im	@	inf	(* (/ x.im (sqrt (+ (* y.im y.im) (* y.re y.re)))) (neg y.im))

rewrite238.0ms (2.2%)

Memory

9.8MiB live, 286.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

356×	`log1p-expm1-u`
223×	`associate-r`
208×	`expm1-log1p-u`
207×	`add-exp-log`
207×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	367
1	495	318
2	7475	318

Stop Event

1×	node limit

Counts

15 → 645

Calls

Call 1

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

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

simplify580.0ms (5.4%)

Memory

0.9MiB live, 559.5MiB allocated

Algorithm

1×	egg-herbie

Rules

591×	`associate-/l*`
442×	`fma-define`
372×	`*-commutative`
334×	`associate-/r/`
298×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1378	33940
1	3302	32858

Stop Event

1×	node limit

Counts

1 053 → 902

Calls

Call 1

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

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

eval195.0ms (1.8%)

Memory: 7.3MiB live, 276.7MiB allocated
Compiler: Compiled 20 012 to 3 541 computations (82.3% saved)

prune234.0ms (2.2%)

Memory

14.0MiB live, 444.4MiB allocated

Pruning

28 alts after pruning (19 fresh and 9 done)

	Pruned	Kept	Total
New	1 090	7	1 097
Fresh	3	12	15
Picked	3	2	5
Done	0	7	7
Total	1 096	28	1 124

Accuracy

100.0%

Counts

1 124 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	21.5%	(pow.f64 (.f64 y.im (/.f64 y.im (.f64 y.re x.re))) #s(literal -1 binary64))
	53.1%	(/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) y.re)
✓	21.5%	(/.f64 (/.f64 (*.f64 x.re y.re) y.im) y.im)
	56.3%	(/.f64 (/.f64 y.im (hypot.f64 y.im y.re)) (/.f64 (hypot.f64 y.im y.re) x.im))
	22.1%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y.im x.re) y.re)) y.im)
	51.8%	(/.f64 (+.f64 x.re (/.f64 (*.f64 x.im y.im) y.re)) y.re)
	53.1%	(/.f64 (+.f64 x.re (*.f64 x.im (/.f64 y.im y.re))) y.re)
✓	50.9%	(/.f64 (+.f64 x.im (/.f64 (*.f64 x.re y.re) y.im)) y.im)
	18.3%	(/.f64 (*.f64 (/.f64 (neg.f64 x.im) y.re) (neg.f64 y.im)) (neg.f64 (hypot.f64 y.im y.re)))
	22.8%	(/.f64 (*.f64 (/.f64 y.re y.im) x.re) y.im)
	7.7%	(/.f64 (*.f64 (/.f64 x.re y.im) (neg.f64 y.re)) y.im)
	19.6%	(/.f64 (*.f64 (/.f64 x.im (hypot.f64 y.im y.re)) (neg.f64 y.im)) (neg.f64 y.re))
✓	36.7%	(/.f64 (*.f64 y.re x.re) (pow.f64 (hypot.f64 y.re y.im) #s(literal 2 binary64)))
✓	36.7%	(/.f64 (.f64 y.re x.re) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
✓	36.8%	(/.f64 (.f64 y.im x.im) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
	21.0%	(/.f64 x.re (*.f64 y.im (/.f64 y.im y.re)))
✓	40.4%	(/.f64 x.re y.re)
✓	40.7%	(/.f64 x.im y.im)
	40.1%	(/.f64 #s(literal 1 binary64) (/.f64 y.re x.re))
	39.9%	(/.f64 #s(literal 1 binary64) (/.f64 y.im x.im))
	18.5%	(*.f64 (/.f64 (neg.f64 y.im) y.re) (/.f64 x.im (hypot.f64 y.re y.im)))
	55.9%	(*.f64 (/.f64 y.re (hypot.f64 y.re y.im)) (/.f64 x.re (hypot.f64 y.re y.im)))
	15.5%	(*.f64 (/.f64 y.im (hypot.f64 y.re y.im)) (/.f64 x.im y.re))
	40.3%	(*.f64 (/.f64 #s(literal 1 binary64) y.re) x.re)
✓	40.6%	(*.f64 (/.f64 #s(literal 1 binary64) y.im) x.im)
	8.1%	(*.f64 (/.f64 #s(literal -1 binary64) y.im) x.im)
	7.6%	(*.f64 x.re (/.f64 (/.f64 y.re (neg.f64 y.im)) y.im))
	21.5%	(exp.f64 (log.f64 (/.f64 x.re y.re)))

Compiler

Compiled 760 to 356 computations (53.2% saved)

regimes326.0ms (3%)

Memory

0.1MiB live, 132.7MiB allocated

Counts

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

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

Calls

5 calls:

268.0ms	y.re
17.0ms	y.im
14.0ms	x.re
13.0ms	x.im
12.0ms	(/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))

Results

Accuracy	Segments	Branch
73.1%	3	`x.re`
80.0%	3	`x.im`
86.7%	4	`y.re`
82.3%	4	`y.im`
80.8%	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 39 to 27 computations (30.8% saved)

regimes9.0ms (0.1%)

Memory

16.2MiB live, 16.2MiB allocated

Counts

25 → 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.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 x.re (/.f64 (/.f64 y.re y.im) y.im))
(/.f64 x.re (*.f64 y.im (/.f64 y.im y.re)))
(/.f64 (*.f64 y.re (/.f64 x.re y.im)) y.im)
(/.f64 (*.f64 (/.f64 y.re y.im) x.re) y.im)
(/.f64 (/.f64 (*.f64 x.re y.re) y.im) y.im)
(*.f64 x.re (/.f64 (/.f64 y.re (neg.f64 y.im)) y.im))
(/.f64 (*.f64 (/.f64 x.re y.im) (neg.f64 y.re)) y.im)
(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.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 (*.f64 x.im y.im) y.re)) y.re)
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 y.im (*.f64 y.re x.re))) y.im)
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y.im x.re) y.re)) y.im)
(/.f64 (.f64 y.im x.im) (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))
(/.f64 (.f64 y.re x.re) (+.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 (pow.f64 y.im #s(literal -2 binary64)) (.f64 x.re 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 (+.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
86.6%	4	`y.re`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes9.0ms (0.1%)

Memory

-22.2MiB live, 15.8MiB allocated

Counts

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

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

1 calls:

8.0ms

y.re

Results

Accuracy	Segments	Branch
83.6%	3	`y.re`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes21.0ms (0.2%)

Memory

-3.7MiB live, 37.0MiB 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.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 x.re (/.f64 (/.f64 y.re y.im) y.im))
(/.f64 x.re (*.f64 y.im (/.f64 y.im y.re)))
(/.f64 (*.f64 y.re (/.f64 x.re y.im)) y.im)
(/.f64 (*.f64 (/.f64 y.re y.im) x.re) y.im)
(/.f64 (/.f64 (*.f64 x.re y.re) y.im) y.im)
(*.f64 x.re (/.f64 (/.f64 y.re (neg.f64 y.im)) y.im))
(/.f64 (*.f64 (/.f64 x.re y.im) (neg.f64 y.re)) y.im)
(/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.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 x.re y.re)

Calls

3 calls:

8.0ms	x.im
5.0ms	y.re
5.0ms	y.im

Results

Accuracy	Segments	Branch
59.3%	3	`x.im`
70.6%	3	`y.im`
75.9%	3	`y.re`

Compiler

Compiled 15 to 12 computations (20% saved)

regimes18.0ms (0.2%)

Memory

-4.8MiB live, 33.1MiB allocated

Counts

14 → 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.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 x.re (/.f64 (/.f64 y.re y.im) y.im))
(/.f64 x.re (*.f64 y.im (/.f64 y.im y.re)))
(/.f64 (*.f64 y.re (/.f64 x.re y.im)) y.im)
(/.f64 (*.f64 (/.f64 y.re y.im) x.re) y.im)
(/.f64 (/.f64 (*.f64 x.re y.re) y.im) y.im)
(*.f64 x.re (/.f64 (/.f64 y.re (neg.f64 y.im)) y.im))
(/.f64 (*.f64 (/.f64 x.re y.im) (neg.f64 y.re)) y.im)

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

Calls

3 calls:

8.0ms	y.im
5.0ms	y.re
4.0ms	x.re

Results

Accuracy	Segments	Branch
62.3%	3	`y.im`
49.8%	4	`x.re`
63.8%	3	`y.re`

Compiler

Compiled 15 to 12 computations (20% saved)

regimes5.0ms (0.1%)

Memory

14.6MiB live, 14.6MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
40.7%	1	`x.re`
40.7%	1	`x.im`
40.7%	1	`y.im`
40.7%	1	`y.re`

Compiler

Compiled 20 to 16 computations (20% saved)

bsearch52.0ms (0.5%)

Memory

15.7MiB live, 90.6MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
17.0ms	123.40135226394266	129822004082416.36
15.0ms	1.7120008139145826e-99	1.3215638311396394e-89
15.0ms	-9.626992076324459e+72	-2.8348454290753507e+70

Samples

32.0ms

448×

valid

Compiler

Compiled 916 to 572 computations (37.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 14.0ms (67.6% of total)

ival-add: 4.0ms (19.3% of total)

ival-div: 3.0ms (14.5% of total)

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

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

bsearch268.0ms (2.5%)

Memory

-20.4MiB live, 93.8MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
17.0ms	123.40135226394266	129822004082416.36
15.0ms	1.7120008139145826e-99	1.3215638311396394e-89
227.0ms	-9.626992076324459e+72	-2.8348454290753507e+70

Samples

247.0ms

448×

valid

Compiler

Compiled 926 to 582 computations (37.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 233.0ms

ival-mult: 226.0ms (97% of total)

ival-add: 4.0ms (1.7% of total)

ival-div: 3.0ms (1.3% of total)

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

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

bsearch27.0ms (0.3%)

Memory

16.0MiB live, 53.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	1.1870986120125975e-81	2.5531367825888695e-79
12.0ms	-9.626992076324459e+72	-2.8348454290753507e+70

Samples

17.0ms

240×

valid

Compiler

Compiled 442 to 288 computations (34.8% saved)

Precisions

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

ival-mult: 6.0ms (53.3% of total)

ival-add: 4.0ms (35.6% of total)

ival-div: 1.0ms (8.9% of total)

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

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

bsearch35.0ms (0.3%)

Memory

19.2MiB live, 63.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	4.755215559087256e+42	2.052413502184488e+46
20.0ms	-1.2899683535063071e+159	-4.6528164414881396e+151

Samples

24.0ms

272×

valid

Compiler

Compiled 396 to 273 computations (31.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 13.0ms (78.3% of total)

ival-div: 2.0ms (12% of total)

ival-add: 2.0ms (12% of total)

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

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

bsearch232.0ms (2.2%)

Memory

-24.2MiB live, 52.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
214.0ms	123.40135226394266	129822004082416.36
15.0ms	-7.320522262564282e-19	-1.2964889291765344e-22

Samples

221.0ms

288×

valid

Compiler

Compiled 310 to 234 computations (24.5% saved)

Precisions

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

ival-mult: 7.0ms (60.3% of total)

ival-div: 2.0ms (17.2% of total)

ival-add: 2.0ms (17.2% of total)

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

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

simplify6.0ms (0.1%)

Memory

12.0MiB live, 12.0MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`if-if-or-not`
4×	`*-commutative`
4×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	707
1	89	707

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 y.re #s(literal -28999999999999998272172802899625672762725290003976177663180289049886720 binary64)) (/.f64 (+.f64 x.re (.f64 x.im (/.f64 y.im y.re))) y.re) (if (<=.f64 y.re #s(literal 4184539232283105/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848 binary64)) (/.f64 (+.f64 x.im (.f64 x.re (/.f64 y.re y.im))) y.im) (if (<=.f64 y.re #s(literal 128000000000000 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 (fma.f64 x.im (/.f64 y.im y.re) x.re) y.re))))
(if (<=.f64 y.re #s(literal -124999999999999992975226368599321378007153016127568816443015486507057152 binary64)) (/.f64 (+.f64 x.re (.f64 x.im (/.f64 y.im y.re))) y.re) (if (<=.f64 y.re #s(literal 2770453560683987/1231312693637327475383720003129487931408741852202045208373384168882678805359287831606695820465153613775207124697088 binary64)) (/.f64 (+.f64 x.im (.f64 x.re (/.f64 y.re y.im))) y.im) (if (<=.f64 y.re #s(literal 106000000000000 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 -128000000000000009284023856835742096148271924434754810306330899901317120 binary64)) (/.f64 (+.f64 x.re (.f64 x.im (/.f64 y.im y.re))) y.re) (if (<=.f64 y.re #s(literal 8410448953938583/66749594872528440074844428317798503581334516323645399060845050244444366430645017188217565216768 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 -46999999999999998917563339030654883119605688687423849686874405905413190203200343604726196596612913310699234154069380865516020118000250502183318148087808 binary64)) (/.f64 x.re y.re) (if (<=.f64 y.re #s(literal 7500000000000000414014097540905643072815104 binary64)) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im) (/.f64 x.re y.re)))
(if (<=.f64 y.re #s(literal -7809214475236381/332306998946228968225951765070086144 binary64)) (/.f64 x.re y.re) (if (<=.f64 y.re #s(literal 115000 binary64)) (/.f64 x.im y.im) (/.f64 x.re y.re)))
(/.f64 x.im y.im)

Outputs
(if (<=.f64 y.re #s(literal -28999999999999998272172802899625672762725290003976177663180289049886720 binary64)) (/.f64 (+.f64 x.re (.f64 x.im (/.f64 y.im y.re))) y.re) (if (<=.f64 y.re #s(literal 4184539232283105/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848 binary64)) (/.f64 (+.f64 x.im (.f64 x.re (/.f64 y.re y.im))) y.im) (if (<=.f64 y.re #s(literal 128000000000000 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 (fma.f64 x.im (/.f64 y.im y.re) x.re) y.re))))
(if (<=.f64 y.re #s(literal -28999999999999998272172802899625672762725290003976177663180289049886720 binary64)) (/.f64 (+.f64 x.re (.f64 x.im (/.f64 y.im y.re))) y.re) (if (<=.f64 y.re #s(literal 4184539232283105/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848 binary64)) (/.f64 (+.f64 x.im (.f64 x.re (/.f64 y.re y.im))) y.im) (if (<=.f64 y.re #s(literal 128000000000000 binary64)) (/.f64 (+.f64 (.f64 y.re x.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im))) (/.f64 (fma.f64 x.im (/.f64 y.im y.re) x.re) y.re))))
(if (<=.f64 y.re #s(literal -124999999999999992975226368599321378007153016127568816443015486507057152 binary64)) (/.f64 (+.f64 x.re (.f64 x.im (/.f64 y.im y.re))) y.re) (if (<=.f64 y.re #s(literal 2770453560683987/1231312693637327475383720003129487931408741852202045208373384168882678805359287831606695820465153613775207124697088 binary64)) (/.f64 (+.f64 x.im (.f64 x.re (/.f64 y.re y.im))) y.im) (if (<=.f64 y.re #s(literal 106000000000000 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 -124999999999999992975226368599321378007153016127568816443015486507057152 binary64)) (/.f64 (+.f64 x.re (.f64 x.im (/.f64 y.im y.re))) y.re) (if (<=.f64 y.re #s(literal 2770453560683987/1231312693637327475383720003129487931408741852202045208373384168882678805359287831606695820465153613775207124697088 binary64)) (/.f64 (+.f64 x.im (.f64 x.re (/.f64 y.re y.im))) y.im) (if (<=.f64 y.re #s(literal 106000000000000 binary64)) (/.f64 (+.f64 (.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 -128000000000000009284023856835742096148271924434754810306330899901317120 binary64)) (/.f64 (+.f64 x.re (.f64 x.im (/.f64 y.im y.re))) y.re) (if (<=.f64 y.re #s(literal 8410448953938583/66749594872528440074844428317798503581334516323645399060845050244444366430645017188217565216768 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 -128000000000000009284023856835742096148271924434754810306330899901317120 binary64)) (not (<=.f64 y.re #s(literal 8410448953938583/66749594872528440074844428317798503581334516323645399060845050244444366430645017188217565216768 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 -46999999999999998917563339030654883119605688687423849686874405905413190203200343604726196596612913310699234154069380865516020118000250502183318148087808 binary64)) (/.f64 x.re y.re) (if (<=.f64 y.re #s(literal 7500000000000000414014097540905643072815104 binary64)) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im) (/.f64 x.re y.re)))
(if (or (<=.f64 y.re #s(literal -46999999999999998917563339030654883119605688687423849686874405905413190203200343604726196596612913310699234154069380865516020118000250502183318148087808 binary64)) (not (<=.f64 y.re #s(literal 7500000000000000414014097540905643072815104 binary64)))) (/.f64 x.re y.re) (/.f64 (+.f64 x.im (*.f64 x.re (/.f64 y.re y.im))) y.im))
(if (<=.f64 y.re #s(literal -7809214475236381/332306998946228968225951765070086144 binary64)) (/.f64 x.re y.re) (if (<=.f64 y.re #s(literal 115000 binary64)) (/.f64 x.im y.im) (/.f64 x.re y.re)))
(if (or (<=.f64 y.re #s(literal -7809214475236381/332306998946228968225951765070086144 binary64)) (not (<=.f64 y.re #s(literal 115000 binary64)))) (/.f64 x.re y.re) (/.f64 x.im y.im))
(/.f64 x.im y.im)

soundness765.0ms (7.1%)

Memory

-33.5MiB live, 264.7MiB allocated

Rules

533×	`distribute-lft-neg-in`
477×	`distribute-rgt-neg-in`
380×	`fmm-def`
253×	`associate-r`
236×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	606	13204
1	1504	12488
2	4849	12428

Stop Event

1×	fuel
1×	node limit

Compiler

Compiled 260 to 102 computations (60.8% saved)

preprocess130.0ms (1.2%)

Memory: -4.5MiB live, 72.7MiB allocated
Compiler: Compiled 392 to 146 computations (62.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	32	525
1	55	503
2	94	503
3	177	503
4	302	503
5	506	503
6	571	503
7	611	503
8	651	503
9	735	503
10	817	503
11	826	503

Iter	Nodes	Cost
0	32	525
1	55	503
2	94	503
3	177	503
4	302	503
5	506	503
6	571	503
7	611	503
8	651	503
9	735	503
10	817	503
11	826	503

analyze61.0ms (0.6%)

sample1.2s (11.2%)

preprocess425.0ms (4%)

explain125.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify7.0ms (0.1%)

localize164.0ms (1.5%)

series25.0ms (0.2%)

rewrite410.0ms (3.8%)

simplify391.0ms (3.6%)

eval44.0ms (0.4%)

prune306.0ms (2.9%)

simplify44.0ms (0.4%)

localize170.0ms (1.6%)

series63.0ms (0.6%)

rewrite348.0ms (3.3%)

simplify510.0ms (4.8%)

eval147.0ms (1.4%)

prune637.0ms (5.9%)

simplify17.0ms (0.2%)

localize69.0ms (0.6%)

series79.0ms (0.7%)

rewrite210.0ms (2%)

simplify359.0ms (3.4%)

eval273.0ms (2.5%)

prune285.0ms (2.7%)

simplify510.0ms (4.8%)

localize267.0ms (2.5%)

series416.0ms (3.9%)

rewrite238.0ms (2.2%)

simplify580.0ms (5.4%)

eval195.0ms (1.8%)

prune234.0ms (2.2%)

regimes326.0ms (3%)

regimes9.0ms (0.1%)

regimes9.0ms (0.1%)

regimes21.0ms (0.2%)

regimes18.0ms (0.2%)

regimes5.0ms (0.1%)

bsearch52.0ms (0.5%)

bsearch268.0ms (2.5%)

bsearch27.0ms (0.3%)

bsearch35.0ms (0.3%)

bsearch232.0ms (2.2%)

simplify6.0ms (0.1%)

soundness765.0ms (7.1%)

preprocess130.0ms (1.2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	32	525
1	55	503
2	94	503
3	177	503
4	302	503
5	506	503
6	571	503
7	611	503
8	651	503
9	735	503
10	817	503
11	826	503