Metrics for math.cube on complex, imaginary part

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 21 to 13 computations (38.1% saved)

sample2.2s (28.1%)

Memory

18.3MiB live, 1 404.7MiB allocated

Samples

1.6s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.1s

ival-mult: 932.0ms (84.4% of total)

ival-add: 83.0ms (7.5% of total)

ival-sub: 80.0ms (7.2% of total)

ival-true: 6.0ms (0.5% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

explain210.0ms (2.7%)

Memory

-20.6MiB live, 267.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
20	-	-	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`
20	-	-	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`
10	-	-	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)`
0	-	-	`(*.f64 x.re x.im)`
0	-	-	`(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))`
0	-	-	`(*.f64 x.im x.im)`
0	-	-	`(*.f64 x.re x.re)`
0	-	-	`(*.f64 x.im x.re)`
0	-	-	`(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)`
0	-	-	`x.re`
0	-	-	`x.im`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	nan-rescue	20	0
↳	`(*.f64 x.re x.re)`	overflow	67
↳	`(*.f64 x.im x.im)`	overflow	68
`+.f64`	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`	nan-rescue	20	0
↳	`(*.f64 x.re x.re)`	overflow	67
↳	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	overflow	115
↳	`(*.f64 x.im x.im)`	overflow	68
↳	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)`	overflow	120
↳	`(*.f64 x.im x.re)`	overflow	31
↳	`(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)`	overflow	68
↳	`(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))`	overflow	31
↳	`(*.f64 x.re x.im)`	overflow	31
`*.f64`	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)`	*no**	10	0

Confusion

	Predicted +	Predicted -
+	40	0
-	0	216

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	40	0	0
-	0	0	216

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	216
1	30
2	10

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

81.0ms

512×

valid

Compiler

Compiled 218 to 48 computations (78% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-mult: 31.0ms (80.8% of total)

ival-add: 4.0ms (10.4% of total)

ival-sub: 2.0ms (5.2% of total)

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

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

preprocess282.0ms (3.6%)

Memory

29.2MiB live, 253.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	31	107
1	99	89
2	292	85
3	1259	57
4	3111	55
5	5133	55
6	6048	55
7	6433	55
8	6553	55
9	6657	55
10	6664	55
11	7747	55
0	11	19
0	20	19
1	34	17
2	65	17
3	151	11
4	358	11
5	1010	11
6	1929	11
7	4829	11
8	7194	11
0	8107	11

Stop Event

1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))

Outputs
(fma.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) x.im (pow.f64 (neg.f64 x.im) #s(literal 3 binary64)))

Symmetry

(abs x.re)

(negabs x.im)

Compiler

Compiled 19 to 11 computations (42.1% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	84.5%	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))

Compiler

Compiled 19 to 11 computations (42.1% saved)

simplify201.0ms (2.6%)

Memory

-0.7MiB live, 239.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x.re x.re)
cost-diff	0	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
cost-diff	128	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
cost-diff	192	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	65
0	20	65
1	34	59
2	65	59
3	151	53
4	358	53
5	1010	53
6	1929	53
7	4829	53
8	7194	53
0	8107	53

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

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

Outputs
(fma.f64 (.f64 #s(literal 3 binary64) (.f64 x.re x.re)) x.im (pow.f64 (neg.f64 x.im) #s(literal 3 binary64)))
(.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.re))
(*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))
(*.f64 x.re x.re)
x.re
(*.f64 x.im x.im)
x.im
(.f64 (.f64 #s(literal 2 binary64) (*.f64 x.im x.re)) x.re)
(.f64 #s(literal 2 binary64) (.f64 x.im x.re))
(*.f64 x.im x.re)
(*.f64 x.im x.re)

localize31.0ms (0.4%)

Memory

1.6MiB live, 79.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.09765625	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
accuracy	2.4509888161067104	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
accuracy	4.496073108302059	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
accuracy	5.066364966604116	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))

Samples

23.0ms

256×

valid

Compiler

Compiled 132 to 24 computations (81.8% saved)

Precisions

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

ival-mult: 9.0ms (70.7% of total)

ival-add: 2.0ms (15.7% of total)

ival-sub: 1.0ms (7.9% of total)

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

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

series49.0ms (0.6%)

Memory

-35.1MiB live, 56.4MiB allocated

Counts

6 → 132

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 x.re x.re) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x.im) (#s(alt #<batchref> (patch (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x.im) (#s(alt #<batchref> (patch (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x.im) (#s(alt #<batchref> (patch (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x.im) (#s(alt #<batchref> (patch (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x.im) (#s(alt #<batchref> (patch (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x.im) (#s(alt #<batchref> (patch (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x.im) (#s(alt #<batchref> (patch (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x.im) (#s(alt #<batchref> (patch (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x.im) (#s(alt #<batchref> (patch (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x.im) (#s(alt #<batchref> (patch (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x.im) (#s(alt #<batchref> (patch (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x.im) (#s(alt #<batchref> (patch (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x.im) (#s(alt #<batchref> (patch (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x.im) (#s(alt #<batchref> (patch (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x.im) (#s(alt #<batchref> (patch (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x.im) (#s(alt #<batchref> (patch (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x.im) (#s(alt #<batchref> (patch (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x.im) (#s(alt #<batchref> (patch (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x.im) (#s(alt #<batchref> (patch (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x.im) (#s(alt #<batchref> (patch (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.im) (#s(alt #<batchref> (patch (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.im) (#s(alt #<batchref> (patch (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.im) (#s(alt #<batchref> (patch (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.im) (#s(alt #<batchref> (patch (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.im) (#s(alt #<batchref> (patch (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.im) (#s(alt #<batchref> (patch (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.im) (#s(alt #<batchref> (patch (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.im) (#s(alt #<batchref> (patch (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.im) (#s(alt #<batchref> (patch (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.im) (#s(alt #<batchref> (patch (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.im) (#s(alt #<batchref> (patch (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.im) (#s(alt #<batchref> (patch (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.im) (#s(alt #<batchref> (patch (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.im) (#s(alt #<batchref> (patch (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.im) (#s(alt #<batchref> (patch (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.im) (#s(alt #<batchref> (patch (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.im) (#s(alt #<batchref> (patch (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.im) (#s(alt #<batchref> (patch (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.im) (#s(alt #<batchref> (patch (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.im) (#s(alt #<batchref> (patch (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.re) (#s(alt #<batchref> (patch (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.re) (#s(alt #<batchref> (patch (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.re) (#s(alt #<batchref> (patch (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.re) (#s(alt #<batchref> (patch (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.re) (#s(alt #<batchref> (patch (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.re) (#s(alt #<batchref> (patch (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.re) (#s(alt #<batchref> (patch (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.re) (#s(alt #<batchref> (patch (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.re) (#s(alt #<batchref> (patch (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.re) (#s(alt #<batchref> (patch (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.re) (#s(alt #<batchref> (patch (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.re) (#s(alt #<batchref> (patch (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.re) (#s(alt #<batchref> (patch (*.f64 x.re x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.re) (#s(alt #<batchref> (patch (*.f64 x.re x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.re) (#s(alt #<batchref> (patch (*.f64 x.re x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.re) (#s(alt #<batchref> (patch (*.f64 x.re x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.re) (#s(alt #<batchref> (patch (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.re) (#s(alt #<batchref> (patch (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.re) (#s(alt #<batchref> (patch (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.re) (#s(alt #<batchref> (patch (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.re) (#s(alt #<batchref> (patch (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.re) (#s(alt #<batchref> (patch (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.re) (#s(alt #<batchref> (patch (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.re) (#s(alt #<batchref> (patch (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x.re) (#s(alt #<batchref> (patch (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x.re) (#s(alt #<batchref> (patch (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x.re) (#s(alt #<batchref> (patch (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x.re) (#s(alt #<batchref> (patch (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x.re) (#s(alt #<batchref> (patch (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x.re) (#s(alt #<batchref> (patch (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x.re) (#s(alt #<batchref> (patch (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x.re) (#s(alt #<batchref> (patch (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x.re) (#s(alt #<batchref> (patch (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x.re) (#s(alt #<batchref> (patch (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x.re) (#s(alt #<batchref> (patch (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x.re) (#s(alt #<batchref> (patch (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x.re) (#s(alt #<batchref> (patch (*.f64 x.re x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x.re) (#s(alt #<batchref> (patch (*.f64 x.re x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x.re) (#s(alt #<batchref> (patch (*.f64 x.re x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x.re) (#s(alt #<batchref> (patch (*.f64 x.re x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x.re) (#s(alt #<batchref> (patch (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x.re) (#s(alt #<batchref> (patch (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x.re) (#s(alt #<batchref> (patch (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x.re) (#s(alt #<batchref> (patch (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x.re) (#s(alt #<batchref> (patch (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x.re) (#s(alt #<batchref> (patch (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x.re) (#s(alt #<batchref> (patch (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x.re) (#s(alt #<batchref> (patch (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (*.f64 x.re x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (*.f64 x.re x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (*.f64 x.re x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (*.f64 x.re x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
11.0ms	x.im	@	-inf	((+ (* x.re x.im) (* x.im x.re)) (- (* x.re x.re) (* x.im x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
3.0ms	x.re	@	-inf	((+ (* x.re x.im) (* x.im x.re)) (- (* x.re x.re) (* x.im x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
3.0ms	x.im	@	inf	((+ (* x.re x.im) (* x.im x.re)) (- (* x.re x.re) (* x.im x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
2.0ms	x.im	@	0	((+ (* x.re x.im) (* x.im x.re)) (- (* x.re x.re) (* x.im x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
2.0ms	x.re	@	inf	((+ (* x.re x.im) (* x.im x.re)) (- (* x.re x.re) (* x.im x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))

simplify137.0ms (1.7%)

Memory

16.0MiB live, 166.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	57	909
1	182	891
2	585	891
3	2559	891
4	6916	891
0	8750	891

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

Inputs
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(pow x.re 2)
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* -1 (pow x.im 2))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* -1 (pow x.im 2))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* -1 (pow x.im 2))
(- (pow x.re 2) (pow x.im 2))
(- (pow x.re 2) (pow x.im 2))
(- (pow x.re 2) (pow x.im 2))
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* x.im (pow x.re 2))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* x.im (pow x.re 2))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))

Outputs
(.f64 (.f64 x.im x.re) #s(literal 2 binary64))
(.f64 (.f64 x.im x.re) #s(literal 2 binary64))
(.f64 (.f64 x.im x.re) #s(literal 2 binary64))
(.f64 (.f64 x.im x.re) #s(literal 2 binary64))
(*.f64 x.re x.re)
(fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))
(fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))
(fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))
(.f64 (.f64 x.re x.re) x.im)
(.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))
(.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))
(.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))
(.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
(.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im))
(.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im))
(.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im))
(.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 2 binary64))
(.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 2 binary64))
(.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 2 binary64))
(.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 2 binary64))
(.f64 (.f64 x.im x.re) #s(literal 2 binary64))
(.f64 (.f64 x.im x.re) #s(literal 2 binary64))
(.f64 (.f64 x.im x.re) #s(literal 2 binary64))
(.f64 (.f64 x.im x.re) #s(literal 2 binary64))
(*.f64 (neg.f64 x.im) x.im)
(fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))
(fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))
(fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))
(.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))
(.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im))
(.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im))
(.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im))
(.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 2 binary64))
(.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 2 binary64))
(.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 2 binary64))
(.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 2 binary64))
(.f64 (.f64 x.im x.re) #s(literal 2 binary64))
(.f64 (.f64 x.im x.re) #s(literal 2 binary64))
(.f64 (.f64 x.im x.re) #s(literal 2 binary64))
(.f64 (.f64 x.im x.re) #s(literal 2 binary64))
(*.f64 (neg.f64 x.im) x.im)
(fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))
(fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))
(fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))
(.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))
(.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im))
(.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im))
(.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im))
(.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 2 binary64))
(.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 2 binary64))
(.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 2 binary64))
(.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 2 binary64))
(.f64 (.f64 x.im x.re) #s(literal 2 binary64))
(.f64 (.f64 x.im x.re) #s(literal 2 binary64))
(.f64 (.f64 x.im x.re) #s(literal 2 binary64))
(.f64 (.f64 x.im x.re) #s(literal 2 binary64))
(*.f64 (neg.f64 x.im) x.im)
(fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))
(fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))
(fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))
(.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))
(.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))
(*.f64 x.re x.re)
(*.f64 x.re x.re)
(*.f64 x.re x.re)
(*.f64 x.re x.re)
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im))
(.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im))
(.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im))
(.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 2 binary64))
(.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 2 binary64))
(.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 2 binary64))
(.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 2 binary64))
(.f64 (.f64 x.im x.re) #s(literal 2 binary64))
(.f64 (.f64 x.im x.re) #s(literal 2 binary64))
(.f64 (.f64 x.im x.re) #s(literal 2 binary64))
(.f64 (.f64 x.im x.re) #s(literal 2 binary64))
(*.f64 x.re x.re)
(fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))
(fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))
(fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))
(.f64 (.f64 x.re x.re) x.im)
(.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))
(.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))
(.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))
(*.f64 x.re x.re)
(*.f64 x.re x.re)
(*.f64 x.re x.re)
(*.f64 x.re x.re)
(.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
(.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im))
(.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im))
(.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im))
(.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 2 binary64))
(.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 2 binary64))
(.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 2 binary64))
(.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 2 binary64))
(.f64 (.f64 x.im x.re) #s(literal 2 binary64))
(.f64 (.f64 x.im x.re) #s(literal 2 binary64))
(.f64 (.f64 x.im x.re) #s(literal 2 binary64))
(.f64 (.f64 x.im x.re) #s(literal 2 binary64))
(*.f64 x.re x.re)
(fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))
(fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))
(fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))
(.f64 (.f64 x.re x.re) x.im)
(.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))
(.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))
(.f64 (.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))
(*.f64 x.re x.re)
(*.f64 x.re x.re)
(*.f64 x.re x.re)
(*.f64 x.re x.re)
(.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
(.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im))
(.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im))
(.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im))
(.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 2 binary64))
(.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 2 binary64))
(.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 2 binary64))
(.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 2 binary64))

rewrite65.0ms (0.8%)

Memory

32.0MiB live, 70.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	54
0	20	54
1	79	42
0	536	41

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

6 → 81

Calls

Call 1

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

Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>

eval32.0ms (0.4%)

Memory: -19.1MiB live, 61.7MiB allocated
Compiler: Compiled 5 604 to 324 computations (94.2% saved)

prune12.0ms (0.2%)

Memory

-5.4MiB live, 33.2MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	206	7	213
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	207	7	214

Accuracy

100.0%

Counts

214 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	83.5%	(+.f64 (.f64 (-.f64 (exp.f64 (.f64 (log.f64 x.re) #s(literal 2 binary64))) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
▶	92.0%	(+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
▶	69.4%	(+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (neg.f64 x.im) x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
▶	51.2%	(+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
▶	88.4%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im)))
▶	51.2%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
	61.1%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))

Compiler

Compiled 338 to 202 computations (40.2% saved)

simplify165.0ms (2.1%)

Memory

3.0MiB live, 236.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im))
cost-diff	0	(.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im)
cost-diff	192	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
cost-diff	448	(+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (neg.f64 x.im) x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
cost-diff	0	#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re))
cost-diff	0	(.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im)
cost-diff	192	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
cost-diff	448	(+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
cost-diff	0	(*.f64 x.re x.re)
cost-diff	0	(fma.f64 #s(literal -3 binary64) (.f64 x.re x.re) (.f64 x.im x.im))
cost-diff	0	(.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im))
cost-diff	0	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im)))
cost-diff	0	(*.f64 x.re x.re)
cost-diff	0	(.f64 (.f64 x.re x.re) x.im)
cost-diff	0	(.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
cost-diff	0	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
cost-diff	0	(+.f64 x.im x.re)
cost-diff	0	(.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im))
cost-diff	192	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
cost-diff	704	(+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	323
0	58	331
1	96	307
2	173	307
3	419	279
4	1140	279
5	2073	279
6	4127	279
7	6145	279
8	7490	279
9	7930	279
0	8098	277

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im))
(+.f64 x.im x.re)
x.im
x.re
(*.f64 (-.f64 x.re x.im) x.im)
(-.f64 x.re x.im)
(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
(.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
(.f64 (.f64 x.re x.re) x.im)
(*.f64 x.re x.re)
x.re
x.im
#s(literal 3 binary64)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im)))
(.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im))
(fma.f64 #s(literal -3 binary64) (.f64 x.re x.re) (.f64 x.im x.im))
#s(literal -3 binary64)
(*.f64 x.re x.re)
x.re
(*.f64 x.im x.im)
x.im
(neg.f64 x.im)
(+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
(.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im)
#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re))
(*.f64 x.re x.re)
x.re
x.im
(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
(+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (neg.f64 x.im) x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
(.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im)
#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im))
(*.f64 (neg.f64 x.im) x.im)
(neg.f64 x.im)
x.im
(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
(*.f64 x.re x.im)
x.re
(*.f64 x.im x.re)

Outputs
(.f64 (fma.f64 (.f64 #s(literal 3 binary64) x.re) x.re (*.f64 (neg.f64 x.im) x.im)) x.im)
(.f64 (.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im))
(+.f64 x.re x.im)
x.im
x.re
(*.f64 (-.f64 x.re x.im) x.im)
(-.f64 x.re x.im)
(.f64 (.f64 #s(literal 2 binary64) (*.f64 x.re x.im)) x.re)
(.f64 #s(literal 2 binary64) (.f64 x.re x.im))
(*.f64 x.re x.im)
(*.f64 x.re x.im)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(literal 3 binary64) (.f64 (*.f64 x.re x.re) x.im)))
(.f64 #s(literal 3 binary64) (.f64 (*.f64 x.re x.re) x.im))
(.f64 (.f64 x.re x.re) x.im)
(*.f64 x.re x.re)
x.re
x.im
#s(literal 3 binary64)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (fma.f64 (.f64 #s(literal 3 binary64) x.re) x.re (*.f64 (neg.f64 x.im) x.im)) x.im))
(.f64 (fma.f64 (.f64 #s(literal 3 binary64) x.re) x.re (*.f64 (neg.f64 x.im) x.im)) x.im)
(fma.f64 #s(literal -3 binary64) (.f64 x.re x.re) (.f64 x.im x.im))
#s(literal -3 binary64)
(*.f64 x.re x.re)
x.re
(*.f64 x.im x.im)
x.im
(neg.f64 x.im)
(.f64 (fma.f64 #s(literal 2 binary64) (.f64 x.re x.re) #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re))) x.im)
(.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im)
#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re))
(*.f64 x.re x.re)
x.re
x.im
(.f64 (.f64 #s(literal 2 binary64) (*.f64 x.re x.im)) x.re)
(.f64 #s(literal 2 binary64) (.f64 x.re x.im))
(*.f64 x.re x.im)
(*.f64 x.re x.im)
(.f64 (fma.f64 #s(literal 2 binary64) (.f64 x.re x.re) #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im))) x.im)
(.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im)
#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im))
(*.f64 (neg.f64 x.im) x.im)
(neg.f64 x.im)
x.im
(.f64 (.f64 #s(literal 2 binary64) (*.f64 x.re x.im)) x.re)
(.f64 #s(literal 2 binary64) (.f64 x.re x.im))
(*.f64 x.re x.im)
x.re
(*.f64 x.re x.im)

localize130.0ms (1.7%)

Memory

-22.1MiB live, 197.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.09765625	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
accuracy	2.4509888161067104	(.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im)
accuracy	5.066364966604116	(+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (neg.f64 x.im) x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
accuracy	28.281272384916207	#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im))
accuracy	0.09765625	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
accuracy	2.4509888161067104	(.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im)
accuracy	5.066364966604116	(+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
accuracy	29.674714383152118	#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re))
accuracy	0	(neg.f64 x.im)
accuracy	0	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im)))
accuracy	2.4428016812458573	(.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im))
accuracy	4.582010608302059	(fma.f64 #s(literal -3 binary64) (.f64 x.re x.re) (.f64 x.im x.im))
accuracy	0	(*.f64 x.re x.re)
accuracy	0.15625	(.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
accuracy	6.179238835082689	(.f64 (.f64 x.re x.re) x.im)
accuracy	28.847531829878044	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
accuracy	0.00390625	(*.f64 (-.f64 x.re x.im) x.im)
accuracy	0.09375	(.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im))
accuracy	0.09765625	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
accuracy	5.066364966604116	(+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))

Samples

101.0ms

256×

valid

Compiler

Compiled 603 to 65 computations (89.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 72.0ms

ival-add: 44.0ms (61% of total)

ival-mult: 21.0ms (29.1% of total)

ival-neg: 3.0ms (4.2% of total)

ival-sub: 2.0ms (2.8% of total)

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

exact: 0.0ms (0% of total)

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

series37.0ms (0.5%)

Memory

14.0MiB live, 88.7MiB allocated

Counts

20 → 456

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 x.im x.re) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 x.re x.re) x.im) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 x.re x.re) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 #s(literal -3 binary64) (.f64 x.re x.re) (.f64 x.im x.im)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (neg.f64 x.im) x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (-.f64 x.re x.im) x.im) #<representation binary64>) () ())
#s(alt #<batchref> (patch (neg.f64 x.im) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (+.f64 x.im x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (+.f64 x.im x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (+.f64 x.im x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (+.f64 x.im x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (.f64 (.f64 x.re x.re) x.im) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (.f64 (.f64 x.re x.re) x.im) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (.f64 (.f64 x.re x.re) x.im) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (.f64 (.f64 x.re x.re) x.im) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (fma.f64 #s(literal -3 binary64) (.f64 x.re x.re) (.f64 x.im x.im)) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (fma.f64 #s(literal -3 binary64) (.f64 x.re x.re) (.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (fma.f64 #s(literal -3 binary64) (.f64 x.re x.re) (.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (fma.f64 #s(literal -3 binary64) (.f64 x.re x.re) (.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (fma.f64 #s(literal -3 binary64) (.f64 x.re x.re) (.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (neg.f64 x.im) x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (neg.f64 x.im) x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (neg.f64 x.im) x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (neg.f64 x.im) x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (*.f64 (-.f64 x.re x.im) x.im) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (*.f64 (-.f64 x.re x.im) x.im) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (*.f64 (-.f64 x.re x.im) x.im) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (*.f64 (-.f64 x.re x.im) x.im) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	x.re	@	inf	((+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (+ x.im x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.re) x.im) 3) (* (* x.re x.re) x.im) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* -3 (* x.re x.re)) (* x.im x.im)) (neg x.im)) (+ (* -3 (* x.re x.re)) (* x.im x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (* (- x.re x.im) x.im) (neg x.im))
3.0ms	x.im	@	inf	((+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (+ x.im x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.re) x.im) 3) (* (* x.re x.re) x.im) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* -3 (* x.re x.re)) (* x.im x.im)) (neg x.im)) (+ (* -3 (* x.re x.re)) (* x.im x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (* (- x.re x.im) x.im) (neg x.im))
3.0ms	x.im	@	-inf	((+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (+ x.im x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.re) x.im) 3) (* (* x.re x.re) x.im) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* -3 (* x.re x.re)) (* x.im x.im)) (neg x.im)) (+ (* -3 (* x.re x.re)) (* x.im x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (* (- x.re x.im) x.im) (neg x.im))
3.0ms	x.re	@	-inf	((+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (+ x.im x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.re) x.im) 3) (* (* x.re x.re) x.im) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* -3 (* x.re x.re)) (* x.im x.im)) (neg x.im)) (+ (* -3 (* x.re x.re)) (* x.im x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (* (- x.re x.im) x.im) (neg x.im))
3.0ms	x.im	@	0	((+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (+ x.im x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.re) x.im) 3) (* (* x.re x.re) x.im) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* -3 (* x.re x.re)) (* x.im x.im)) (neg x.im)) (+ (* -3 (* x.re x.re)) (* x.im x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (* (- x.re x.im) x.im) (neg x.im))

simplify140.0ms (1.8%)

Memory

40.4MiB live, 220.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	187	5532
1	640	4534
2	2038	3880
3	7217	3880
0	8430	3788

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 450

Calls

Call 1

Inputs
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* x.im (pow x.re 2))
(* x.im (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))
(* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))
(* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))
x.re
(+ x.im x.re)
(+ x.im x.re)
(+ x.im x.re)
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* 3 (* x.im (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(* -3 (pow x.re 2))
(+ (* -3 (pow x.re 2)) (pow x.im 2))
(+ (* -3 (pow x.re 2)) (pow x.im 2))
(+ (* -3 (pow x.re 2)) (pow x.im 2))
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (pow x.re 2))
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(pow x.re 2)
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (pow x.re 2))
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(pow x.re 2)
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* x.im x.re)
(* x.im (+ x.re (* -1 x.im)))
(* x.im (+ x.re (* -1 x.im)))
(* x.im (+ x.re (* -1 x.im)))
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1))
x.im
(* x.im (+ 1 (/ x.re x.im)))
(* x.im (+ 1 (/ x.re x.im)))
(* x.im (+ 1 (/ x.re x.im)))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(pow x.im 2)
(* (pow x.im 2) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))
(* (pow x.im 2) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))
(* (pow x.im 2) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* -1 (pow x.im 2))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* -1 (pow x.im 2))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* -1 (pow x.im 2))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im)))))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im)))))
x.im
(* -1 (* x.im (- (* -1 (/ x.re x.im)) 1)))
(* -1 (* x.im (- (* -1 (/ x.re x.im)) 1)))
(* -1 (* x.im (- (* -1 (/ x.re x.im)) 1)))
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(pow x.im 2)
(* (pow x.im 2) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))
(* (pow x.im 2) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))
(* (pow x.im 2) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (pow x.im 2))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (pow x.im 2))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* -1 (pow x.im 2))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im)))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im)))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im))))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im))))))
x.im
(+ x.im x.re)
(+ x.im x.re)
(+ x.im x.re)
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(pow x.im 2)
(+ (* -3 (pow x.re 2)) (pow x.im 2))
(+ (* -3 (pow x.re 2)) (pow x.im 2))
(+ (* -3 (pow x.re 2)) (pow x.im 2))
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))
(* -1 (pow x.im 2))
(- (pow x.re 2) (pow x.im 2))
(- (pow x.re 2) (pow x.im 2))
(- (pow x.re 2) (pow x.im 2))
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))
(* -1 (pow x.im 2))
(- (pow x.re 2) (pow x.im 2))
(- (pow x.re 2) (pow x.im 2))
(- (pow x.re 2) (pow x.im 2))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* -1 (pow x.im 2))
(+ (* -1 (pow x.im 2)) (* x.im x.re))
(+ (* -1 (pow x.im 2)) (* x.im x.re))
(+ (* -1 (pow x.im 2)) (* x.im x.re))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* x.im (pow x.re 2))
(* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
x.re
(* x.re (+ 1 (/ x.im x.re)))
(* x.re (+ 1 (/ x.im x.re)))
(* x.re (+ 1 (/ x.im x.re)))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* 3 (* x.im (pow x.re 2)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* -3 (pow x.re 2))
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3))
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3))
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* x.im (pow x.re 2))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* x.im (pow x.re 2))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* x.im x.re)
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* x.im (pow x.re 2))
(* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re))))
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re))))
x.re
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(* x.im (pow x.re 2))
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* 3 (* x.im (pow x.re 2)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* -3 (pow x.re 2))
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3))
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3))
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* x.im (pow x.re 2))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* x.im (pow x.re 2))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* x.im x.re)
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))

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

rewrite87.0ms (1.1%)

Memory

-15.8MiB live, 98.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	243
0	58	243
1	199	215
0	1249	210

Stop Event

1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit

Counts

20 → 205

Calls

Call 1

Inputs
(+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
(.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im))
(+.f64 x.im x.re)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
(.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
(.f64 (.f64 x.re x.re) x.im)
(*.f64 x.re x.re)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im)))
(.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im))
(fma.f64 #s(literal -3 binary64) (.f64 x.re x.re) (.f64 x.im x.im))
(+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
(.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im)
#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re))
(+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (neg.f64 x.im) x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
(.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im)
#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im))
(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(*.f64 (-.f64 x.re x.im) x.im)
(neg.f64 x.im)

Outputs
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eval132.0ms (1.7%)

Memory: 13.0MiB live, 234.4MiB allocated
Compiler: Compiled 26 037 to 872 computations (96.7% saved)

prune49.0ms (0.6%)

Memory

40.5MiB live, 150.0MiB allocated

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	842	10	852
Fresh	2	0	2
Picked	3	2	5
Done	0	0	0
Total	847	12	859

Accuracy

100.0%

Counts

859 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	80.7%	(+.f64 (/.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
▶	88.7%	(+.f64 (.f64 (+.f64 x.im x.re) #s(approx ( (- x.re x.im) x.im) (.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
	86.4%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (fma.f64 (.f64 #s(literal -3 binary64) (.f64 x.re x.re)) (neg.f64 x.im) (.f64 (.f64 x.im x.im) (neg.f64 x.im))))
	61.1%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow.f64 (neg.f64 x.im) #s(literal 3 binary64)))
✓	88.4%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im)))
✓	51.2%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
▶	51.2%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im)))
	51.2%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im))
▶	54.8%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im)))
▶	87.2%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (.f64 (.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) x.re) x.re)) (neg.f64 x.im)))
▶	61.0%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (*.f64 x.im x.im)) (neg.f64 x.im)))
	54.8%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 x.re (*.f64 #s(literal 3 binary64) x.im))))

Compiler

Compiled 664 to 374 computations (43.7% saved)

simplify466.0ms (5.9%)

Memory

-114.1MiB live, 311.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (.f64 (.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) x.re) x.re)) (neg.f64 x.im))
cost-diff	0	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (.f64 (.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) x.re) x.re)) (neg.f64 x.im)))
cost-diff	704	(*.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) x.re)
cost-diff	704	(.f64 (.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) x.re) x.re)
cost-diff	0	(*.f64 #s(literal 3 binary64) x.im)
cost-diff	0	(*.f64 x.re x.re)
cost-diff	0	(.f64 (.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im))
cost-diff	0	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im)))
cost-diff	0	(*.f64 x.re x.im)
cost-diff	0	(*.f64 #s(literal 3 binary64) x.re)
cost-diff	0	(.f64 (.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im))
cost-diff	0	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im)))
cost-diff	0	(*.f64 x.im x.im)
cost-diff	0	#s(approx (+ (* -3 (* x.re x.re)) (* x.im x.im)) (*.f64 x.im x.im))
cost-diff	0	(.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (*.f64 x.im x.im)) (neg.f64 x.im))
cost-diff	0	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (*.f64 x.im x.im)) (neg.f64 x.im)))
cost-diff	0	(.f64 (+.f64 x.im x.re) #s(approx ( (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re)))
cost-diff	128	(+.f64 (.f64 (+.f64 x.im x.re) #s(approx ( (- x.re x.im) x.im) (.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
cost-diff	192	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
cost-diff	1024	(*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	398
0	70	398
1	126	384
2	235	384
3	481	360
4	1187	344
5	2400	331
6	4585	331
0	8394	319

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(+.f64 (.f64 (+.f64 x.im x.re) #s(approx ( (- x.re x.im) x.im) (.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
(.f64 (+.f64 x.im x.re) #s(approx ( (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re)))
(+.f64 x.im x.re)
x.im
x.re
#s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))
(*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re)
(fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im)
(neg.f64 x.im)
(/.f64 x.im x.re)
(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (*.f64 x.im x.im)) (neg.f64 x.im)))
(.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (*.f64 x.im x.im)) (neg.f64 x.im))
#s(approx (+ (* -3 (* x.re x.re)) (* x.im x.im)) (*.f64 x.im x.im))
(*.f64 x.im x.im)
x.im
(neg.f64 x.im)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im)))
(.f64 (.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im))
(*.f64 #s(literal 3 binary64) x.re)
#s(literal 3 binary64)
x.re
(*.f64 x.re x.im)
x.im
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im)))
(.f64 (.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im))
(*.f64 x.re x.re)
x.re
(*.f64 #s(literal 3 binary64) x.im)
#s(literal 3 binary64)
x.im
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (.f64 (.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) x.re) x.re)) (neg.f64 x.im)))
(.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (.f64 (.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) x.re) x.re)) (neg.f64 x.im))
#s(approx (+ (* -3 (* x.re x.re)) (* x.im x.im)) (.f64 (.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) x.re) x.re))
(.f64 (.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) x.re) x.re)
(*.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) x.re)
(fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64))
(/.f64 x.im x.re)
x.im
x.re
#s(literal -3 binary64)
(neg.f64 x.im)

Outputs
(fma.f64 (.f64 #s(literal 2 binary64) (.f64 x.re x.re)) x.im (.f64 #s(approx ( (- x.re x.im) x.im) (*.f64 (-.f64 x.re x.im) x.im)) (+.f64 x.re x.im)))
(.f64 #s(approx ( (- x.re x.im) x.im) (*.f64 (-.f64 x.re x.im) x.im)) (+.f64 x.re x.im))
(+.f64 x.re x.im)
x.im
x.re
#s(approx (* (- x.re x.im) x.im) (*.f64 (-.f64 x.re x.im) x.im))
(*.f64 (-.f64 x.re x.im) x.im)
(/.f64 (*.f64 (-.f64 x.re x.im) x.im) x.re)
(neg.f64 x.im)
(/.f64 x.im x.re)
(.f64 (.f64 #s(literal 2 binary64) (*.f64 x.re x.im)) x.re)
(.f64 #s(literal 2 binary64) (.f64 x.re x.im))
(*.f64 x.re x.im)
(*.f64 x.re x.im)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (*.f64 x.im x.im)) (neg.f64 x.im)))
(.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (*.f64 x.im x.im)) (neg.f64 x.im))
#s(approx (+ (* -3 (* x.re x.re)) (* x.im x.im)) (*.f64 x.im x.im))
(*.f64 x.im x.im)
x.im
(neg.f64 x.im)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re))
(.f64 (.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)
(*.f64 #s(literal 3 binary64) x.re)
#s(literal 3 binary64)
x.re
(*.f64 x.re x.im)
x.im
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re))
(.f64 (.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)
(*.f64 x.re x.re)
x.re
(*.f64 #s(literal 3 binary64) x.im)
#s(literal 3 binary64)
x.im
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (fma.f64 (.f64 #s(literal -3 binary64) x.re) x.re (.f64 x.im x.im))) (neg.f64 x.im)))
(.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (fma.f64 (.f64 #s(literal -3 binary64) x.re) x.re (.f64 x.im x.im))) (neg.f64 x.im))
#s(approx (+ (* -3 (* x.re x.re)) (* x.im x.im)) (fma.f64 (.f64 #s(literal -3 binary64) x.re) x.re (.f64 x.im x.im)))
(fma.f64 (.f64 #s(literal -3 binary64) x.re) x.re (.f64 x.im x.im))
(fma.f64 #s(literal -3 binary64) x.re (*.f64 (/.f64 x.im x.re) x.im))
(fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64))
(/.f64 x.im x.re)
x.im
x.re
#s(literal -3 binary64)
(neg.f64 x.im)

localize149.0ms (1.9%)

Memory

-25.8MiB live, 377.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.1015625	(fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64))
accuracy	2.4428016812458573	(.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (.f64 (.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) x.re) x.re)) (neg.f64 x.im))
accuracy	3.424266169228706	(.f64 (.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) x.re) x.re)
accuracy	4.313203216335506	(*.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) x.re)
accuracy	0	(*.f64 x.re x.re)
accuracy	0	(*.f64 #s(literal 3 binary64) x.im)
accuracy	6.189314469593286	(.f64 (.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im))
accuracy	28.847531829878044	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im)))
accuracy	0	(*.f64 x.re x.im)
accuracy	0	(*.f64 #s(literal 3 binary64) x.re)
accuracy	0.1640625	(.f64 (.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im))
accuracy	28.847531829878044	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im)))
accuracy	0	(neg.f64 x.im)
accuracy	0	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (*.f64 x.im x.im)) (neg.f64 x.im)))
accuracy	2.4428016812458573	(.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (*.f64 x.im x.im)) (neg.f64 x.im))
accuracy	28.31348502908667	#s(approx (+ (* -3 (* x.re x.re)) (* x.im x.im)) (*.f64 x.im x.im))
accuracy	0.09375	(.f64 (+.f64 x.im x.re) #s(approx ( (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re)))
accuracy	0.09765625	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
accuracy	3.369578669228706	(*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re)
accuracy	5.066364966604116	(+.f64 (.f64 (+.f64 x.im x.re) #s(approx ( (- x.re x.im) x.im) (.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))

Samples

86.0ms	236×	0	valid
5.0ms	8×	3	valid
5.0ms	6×	2	valid
3.0ms	3×	4	valid
1.0ms	3×	1	valid

Compiler

Compiled 680 to 83 computations (87.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 80.0ms

ival-mult: 35.0ms (43.9% of total)

ival-add: 34.0ms (42.6% of total)

adjust: 5.0ms (6.3% of total)

ival-div: 2.0ms (2.5% of total)

ival-sub: 2.0ms (2.5% of total)

ival-neg: 1.0ms (1.3% of total)

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

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

exact: 0.0ms (0% of total)

series102.0ms (1.3%)

Memory

11.1MiB live, 88.2MiB allocated

Counts

23 → 492

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 (.f64 (+.f64 x.im x.re) #s(approx ( (- x.re x.im) x.im) (.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (+.f64 x.im x.re) #s(approx ( (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (*.f64 x.im x.im)) (neg.f64 x.im))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (*.f64 x.im x.im)) (neg.f64 x.im)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (* -3 (* x.re x.re)) (* x.im x.im)) (*.f64 x.im x.im)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 x.im x.im) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 #s(literal 3 binary64) x.re) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 x.re x.im) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 x.re x.re) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 #s(literal 3 binary64) x.im) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) x.re) x.re) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) x.re) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (.f64 (.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) x.re) x.re)) (neg.f64 x.im))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (.f64 (.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) x.re) x.re)) (neg.f64 x.im)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re) #<representation binary64>) () ())
#s(alt #<batchref> (patch (neg.f64 x.im) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (+.f64 (.f64 (+.f64 x.im x.re) #s(approx ( (- x.re x.im) x.im) (.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (+.f64 (.f64 (+.f64 x.im x.re) #s(approx ( (- x.re x.im) x.im) (.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (+.f64 (.f64 (+.f64 x.im x.re) #s(approx ( (- x.re x.im) x.im) (.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (+.f64 (.f64 (+.f64 x.im x.re) #s(approx ( (- x.re x.im) x.im) (.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (.f64 (+.f64 x.im x.re) #s(approx ( (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (.f64 (+.f64 x.im x.re) #s(approx ( (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (.f64 (+.f64 x.im x.re) #s(approx ( (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (.f64 (+.f64 x.im x.re) #s(approx ( (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (*.f64 x.im x.im)) (neg.f64 x.im))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (*.f64 x.im x.im)) (neg.f64 x.im))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (*.f64 x.im x.im)) (neg.f64 x.im))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (*.f64 x.im x.im)) (neg.f64 x.im))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (*.f64 x.im x.im)) (neg.f64 x.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (*.f64 x.im x.im)) (neg.f64 x.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (*.f64 x.im x.im)) (neg.f64 x.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (*.f64 x.im x.im)) (neg.f64 x.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch #s(approx (+ (* -3 (* x.re x.re)) (* x.im x.im)) (*.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch #s(approx (+ (* -3 (* x.re x.re)) (* x.im x.im)) (*.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch #s(approx (+ (* -3 (* x.re x.re)) (* x.im x.im)) (*.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch #s(approx (+ (* -3 (* x.re x.re)) (* x.im x.im)) (*.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (*.f64 x.im x.im) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (*.f64 x.im x.im) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (*.f64 x.im x.im) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (*.f64 x.im x.im) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (.f64 (.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) x.re) x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (.f64 (.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) x.re) x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (.f64 (.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) x.re) x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (.f64 (.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) x.re) x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (.f64 (.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) x.re) x.re)) (neg.f64 x.im))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (.f64 (.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) x.re) x.re)) (neg.f64 x.im))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (.f64 (.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) x.re) x.re)) (neg.f64 x.im))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (.f64 (.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) x.re) x.re)) (neg.f64 x.im))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (.f64 (.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) x.re) x.re)) (neg.f64 x.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (.f64 (.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) x.re) x.re)) (neg.f64 x.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (.f64 (.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) x.re) x.re)) (neg.f64 x.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (.f64 (.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) x.re) x.re)) (neg.f64 x.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
26.0ms	x.re	@	inf	((* (+ (* (neg x.im) (/ x.im x.re)) x.im) x.re) (+ (* x.re x.im) (* x.im x.re)) (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* -3 (* x.re x.re)) (* x.im x.im)) (neg x.im)) (+ (* -3 (* x.re x.re)) (* x.im x.im)) (* x.im x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* 3 x.re) (* x.re x.im)) (* 3 x.re) (* x.re x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* x.re x.re) (* 3 x.im)) (* x.re x.re) (* 3 x.im) (* (* (+ (* (/ x.im x.re) (/ x.im x.re)) -3) x.re) x.re) (* (+ (* (/ x.im x.re) (/ x.im x.re)) -3) x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* -3 (* x.re x.re)) (* x.im x.im)) (neg x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (neg x.im) (+ (* (/ x.im x.re) (/ x.im x.re)) -3))
5.0ms	x.im	@	0	((* (+ (* (neg x.im) (/ x.im x.re)) x.im) x.re) (+ (* x.re x.im) (* x.im x.re)) (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* -3 (* x.re x.re)) (* x.im x.im)) (neg x.im)) (+ (* -3 (* x.re x.re)) (* x.im x.im)) (* x.im x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* 3 x.re) (* x.re x.im)) (* 3 x.re) (* x.re x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* x.re x.re) (* 3 x.im)) (* x.re x.re) (* 3 x.im) (* (* (+ (* (/ x.im x.re) (/ x.im x.re)) -3) x.re) x.re) (* (+ (* (/ x.im x.re) (/ x.im x.re)) -3) x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* -3 (* x.re x.re)) (* x.im x.im)) (neg x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (neg x.im) (+ (* (/ x.im x.re) (/ x.im x.re)) -3))
4.0ms	x.im	@	inf	((* (+ (* (neg x.im) (/ x.im x.re)) x.im) x.re) (+ (* x.re x.im) (* x.im x.re)) (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* -3 (* x.re x.re)) (* x.im x.im)) (neg x.im)) (+ (* -3 (* x.re x.re)) (* x.im x.im)) (* x.im x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* 3 x.re) (* x.re x.im)) (* 3 x.re) (* x.re x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* x.re x.re) (* 3 x.im)) (* x.re x.re) (* 3 x.im) (* (* (+ (* (/ x.im x.re) (/ x.im x.re)) -3) x.re) x.re) (* (+ (* (/ x.im x.re) (/ x.im x.re)) -3) x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* -3 (* x.re x.re)) (* x.im x.im)) (neg x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (neg x.im) (+ (* (/ x.im x.re) (/ x.im x.re)) -3))
3.0ms	x.im	@	-inf	((* (+ (* (neg x.im) (/ x.im x.re)) x.im) x.re) (+ (* x.re x.im) (* x.im x.re)) (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* -3 (* x.re x.re)) (* x.im x.im)) (neg x.im)) (+ (* -3 (* x.re x.re)) (* x.im x.im)) (* x.im x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* 3 x.re) (* x.re x.im)) (* 3 x.re) (* x.re x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* x.re x.re) (* 3 x.im)) (* x.re x.re) (* 3 x.im) (* (* (+ (* (/ x.im x.re) (/ x.im x.re)) -3) x.re) x.re) (* (+ (* (/ x.im x.re) (/ x.im x.re)) -3) x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* -3 (* x.re x.re)) (* x.im x.im)) (neg x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (neg x.im) (+ (* (/ x.im x.re) (/ x.im x.re)) -3))
3.0ms	x.re	@	-inf	((* (+ (* (neg x.im) (/ x.im x.re)) x.im) x.re) (+ (* x.re x.im) (* x.im x.re)) (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* -3 (* x.re x.re)) (* x.im x.im)) (neg x.im)) (+ (* -3 (* x.re x.re)) (* x.im x.im)) (* x.im x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* 3 x.re) (* x.re x.im)) (* 3 x.re) (* x.re x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* x.re x.re) (* 3 x.im)) (* x.re x.re) (* 3 x.im) (* (* (+ (* (/ x.im x.re) (/ x.im x.re)) -3) x.re) x.re) (* (+ (* (/ x.im x.re) (/ x.im x.re)) -3) x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* -3 (* x.re x.re)) (* x.im x.im)) (neg x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (neg x.im) (+ (* (/ x.im x.re) (/ x.im x.re)) -3))

simplify138.0ms (1.7%)

Memory

18.3MiB live, 224.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	179	4843
1	605	3951
2	1984	3559
3	6482	3559
0	8452	3489

Stop Event

1×	iter limit
1×	node limit

Counts

492 → 492

Calls

Call 1

Inputs
(* x.im x.re)
(* x.im (+ x.re (* -1 x.im)))
(* x.im (+ x.re (* -1 x.im)))
(* x.im (+ x.re (* -1 x.im)))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(* x.im (pow x.re 2))
(* x.im (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))
(* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))
(* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* 3 (* x.im (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(* -3 (pow x.re 2))
(+ (* -3 (pow x.re 2)) (pow x.im 2))
(+ (* -3 (pow x.re 2)) (pow x.im 2))
(+ (* -3 (pow x.re 2)) (pow x.im 2))
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 x.im)
(* 3 x.im)
(* 3 x.im)
(* 3 x.im)
(* -3 (pow x.re 2))
(+ (* -3 (pow x.re 2)) (pow x.im 2))
(+ (* -3 (pow x.re 2)) (pow x.im 2))
(+ (* -3 (pow x.re 2)) (pow x.im 2))
(* -3 x.re)
(+ (* -3 x.re) (/ (pow x.im 2) x.re))
(+ (* -3 x.re) (/ (pow x.im 2) x.re))
(+ (* -3 x.re) (/ (pow x.im 2) x.re))
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* 3 (* x.im (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
-3
(- (/ (pow x.im 2) (pow x.re 2)) 3)
(- (/ (pow x.im 2) (pow x.re 2)) 3)
(- (/ (pow x.im 2) (pow x.re 2)) 3)
(* -1 (pow x.im 2))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(pow x.im 2)
(* (pow x.im 2) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))
(* (pow x.im 2) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))
(* (pow x.im 2) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 x.im)
(* 3 x.im)
(* 3 x.im)
(* 3 x.im)
(pow x.im 2)
(* (pow x.im 2) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))
(* (pow x.im 2) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))
(* (pow x.im 2) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))
(/ (pow x.im 2) x.re)
(* (pow x.im 2) (+ (* -3 (/ x.re (pow x.im 2))) (/ 1 x.re)))
(* (pow x.im 2) (+ (* -3 (/ x.re (pow x.im 2))) (/ 1 x.re)))
(* (pow x.im 2) (+ (* -3 (/ x.re (pow x.im 2))) (/ 1 x.re)))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(/ (pow x.im 2) (pow x.re 2))
(* (pow x.im 2) (- (/ 1 (pow x.re 2)) (* 3 (/ 1 (pow x.im 2)))))
(* (pow x.im 2) (- (/ 1 (pow x.re 2)) (* 3 (/ 1 (pow x.im 2)))))
(* (pow x.im 2) (- (/ 1 (pow x.re 2)) (* 3 (/ 1 (pow x.im 2)))))
(* -1 (pow x.im 2))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im)))))
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im)))))
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(pow x.im 2)
(* (pow x.im 2) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))
(* (pow x.im 2) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))
(* (pow x.im 2) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 x.im)
(* 3 x.im)
(* 3 x.im)
(* 3 x.im)
(pow x.im 2)
(* (pow x.im 2) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))
(* (pow x.im 2) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))
(* (pow x.im 2) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))
(/ (pow x.im 2) x.re)
(* (pow x.im 2) (+ (* -3 (/ x.re (pow x.im 2))) (/ 1 x.re)))
(* (pow x.im 2) (+ (* -3 (/ x.re (pow x.im 2))) (/ 1 x.re)))
(* (pow x.im 2) (+ (* -3 (/ x.re (pow x.im 2))) (/ 1 x.re)))
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(/ (pow x.im 2) (pow x.re 2))
(* (pow x.im 2) (- (/ 1 (pow x.re 2)) (* 3 (/ 1 (pow x.im 2)))))
(* (pow x.im 2) (- (/ 1 (pow x.re 2)) (* 3 (/ 1 (pow x.im 2)))))
(* (pow x.im 2) (- (/ 1 (pow x.re 2)) (* 3 (/ 1 (pow x.im 2)))))
(* -1 (pow x.im 2))
(+ (* -1 (pow x.im 2)) (* x.im x.re))
(+ (* -1 (pow x.im 2)) (* x.im x.re))
(+ (* -1 (pow x.im 2)) (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im)))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im)))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im))))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im))))))
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(pow x.im 2)
(+ (* -3 (pow x.re 2)) (pow x.im 2))
(+ (* -3 (pow x.re 2)) (pow x.im 2))
(+ (* -3 (pow x.re 2)) (pow x.im 2))
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 x.re)
(* 3 x.re)
(* 3 x.re)
(* 3 x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.im 2)
(+ (* -3 (pow x.re 2)) (pow x.im 2))
(+ (* -3 (pow x.re 2)) (pow x.im 2))
(+ (* -3 (pow x.re 2)) (pow x.im 2))
(/ (pow x.im 2) x.re)
(/ (+ (* -3 (pow x.re 2)) (pow x.im 2)) x.re)
(/ (+ (* -3 (pow x.re 2)) (pow x.im 2)) x.re)
(/ (+ (* -3 (pow x.re 2)) (pow x.im 2)) x.re)
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(/ (pow x.im 2) (pow x.re 2))
(/ (+ (* -3 (pow x.re 2)) (pow x.im 2)) (pow x.re 2))
(/ (+ (* -3 (pow x.re 2)) (pow x.im 2)) (pow x.re 2))
(/ (+ (* -3 (pow x.re 2)) (pow x.im 2)) (pow x.re 2))
(* x.im x.re)
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))
(* x.im (pow x.re 2))
(* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* 3 (* x.im (pow x.re 2)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* -3 (pow x.re 2))
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3))
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3))
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 x.re)
(* 3 x.re)
(* 3 x.re)
(* 3 x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(* -3 (pow x.re 2))
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3))
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3))
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3))
(* -3 x.re)
(* x.re (- (/ (pow x.im 2) (pow x.re 2)) 3))
(* x.re (- (/ (pow x.im 2) (pow x.re 2)) 3))
(* x.re (- (/ (pow x.im 2) (pow x.re 2)) 3))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* 3 (* x.im (pow x.re 2)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
-3
(- (/ (pow x.im 2) (pow x.re 2)) 3)
(- (/ (pow x.im 2) (pow x.re 2)) 3)
(- (/ (pow x.im 2) (pow x.re 2)) 3)
(* x.im x.re)
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))
(* x.im (pow x.re 2))
(* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re))))
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re))))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* 3 (* x.im (pow x.re 2)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* -3 (pow x.re 2))
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3))
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3))
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 x.re)
(* 3 x.re)
(* 3 x.re)
(* 3 x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(* -3 (pow x.re 2))
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3))
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3))
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3))
(* -3 x.re)
(* -1 (* x.re (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2))))))
(* -1 (* x.re (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2))))))
(* -1 (* x.re (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2))))))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* 3 (* x.im (pow x.re 2)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
-3
(- (/ (pow x.im 2) (pow x.re 2)) 3)
(- (/ (pow x.im 2) (pow x.re 2)) 3)
(- (/ (pow x.im 2) (pow x.re 2)) 3)

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

rewrite94.0ms (1.2%)

Memory

-2.0MiB live, 75.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	323
0	70	318
1	239	290
0	1573	280

Stop Event

1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit

Counts

23 → 181

Calls

Call 1

Inputs
(*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re)
(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
(+.f64 (.f64 (+.f64 x.im x.re) #s(approx ( (- x.re x.im) x.im) (.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
(.f64 (+.f64 x.im x.re) #s(approx ( (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (*.f64 x.im x.im)) (neg.f64 x.im)))
(.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (*.f64 x.im x.im)) (neg.f64 x.im))
#s(approx (+ (* -3 (* x.re x.re)) (* x.im x.im)) (*.f64 x.im x.im))
(*.f64 x.im x.im)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im)))
(.f64 (.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im))
(*.f64 #s(literal 3 binary64) x.re)
(*.f64 x.re x.im)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im)))
(.f64 (.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im))
(*.f64 x.re x.re)
(*.f64 #s(literal 3 binary64) x.im)
(.f64 (.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) x.re) x.re)
(*.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) x.re)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (.f64 (.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) x.re) x.re)) (neg.f64 x.im)))
(.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (.f64 (.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) x.re) x.re)) (neg.f64 x.im))
(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(neg.f64 x.im)
(fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64))

Outputs
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eval172.0ms (2.2%)

Memory: 3.3MiB live, 197.7MiB allocated
Compiler: Compiled 27 727 to 907 computations (96.7% saved)

prune100.0ms (1.3%)

Memory

11.8MiB live, 129.5MiB allocated

Pruning

13 alts after pruning (7 fresh and 6 done)

	Pruned	Kept	Total
New	732	5	737
Fresh	3	2	5
Picked	1	4	5
Done	0	2	2
Total	736	13	749

Accuracy

100.0%

Counts

749 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	79.2%	(+.f64 (/.f64 (.f64 (.f64 (+.f64 x.re x.im) (-.f64 x.im x.re)) #s(approx (* (- x.re x.im) x.im) (.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re))) (-.f64 x.im x.re)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
▶	88.7%	(+.f64 (.f64 (+.f64 x.im x.re) #s(approx ( (- x.re x.im) x.im) (.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
▶	86.4%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (fma.f64 (.f64 #s(literal -3 binary64) (.f64 x.re x.re)) (neg.f64 x.im) (.f64 (.f64 x.im x.im) (neg.f64 x.im))))
	61.1%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow.f64 (neg.f64 x.im) #s(literal 3 binary64)))
✓	88.4%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im)))
✓	51.2%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
✓	51.2%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im)))
✓	54.8%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im)))
▶	78.7%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (.f64 (.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) x.re) x.re)) (/.f64 (*.f64 (neg.f64 x.im) x.im) (+.f64 #s(literal 0 binary64) x.im))))
✓	87.2%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (.f64 (.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) x.re) x.re)) (neg.f64 x.im)))
▶	73.0%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (.f64 (.f64 (fma.f64 x.im (/.f64 x.im (*.f64 x.re x.re)) #s(literal -3 binary64)) x.re) x.re)) (neg.f64 x.im)))
✓	61.0%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (*.f64 x.im x.im)) (neg.f64 x.im)))
▶	54.8%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 x.im (*.f64 #s(literal 3 binary64) x.re))))

Compiler

Compiled 683 to 378 computations (44.7% saved)

simplify211.0ms (2.7%)

Memory

-72.7MiB live, 247.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	192	(+.f64 #s(literal 0 binary64) x.im)
cost-diff	704	(*.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) x.re)
cost-diff	704	(.f64 (.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) x.re) x.re)
cost-diff	1024	(/.f64 (*.f64 (neg.f64 x.im) x.im) (+.f64 #s(literal 0 binary64) x.im))
cost-diff	0	(.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (.f64 (.f64 (fma.f64 x.im (/.f64 x.im (*.f64 x.re x.re)) #s(literal -3 binary64)) x.re) x.re)) (neg.f64 x.im))
cost-diff	0	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (.f64 (.f64 (fma.f64 x.im (/.f64 x.im (*.f64 x.re x.re)) #s(literal -3 binary64)) x.re) x.re)) (neg.f64 x.im)))
cost-diff	704	(.f64 (fma.f64 x.im (/.f64 x.im (.f64 x.re x.re)) #s(literal -3 binary64)) x.re)
cost-diff	704	(.f64 (.f64 (fma.f64 x.im (/.f64 x.im (*.f64 x.re x.re)) #s(literal -3 binary64)) x.re) x.re)
cost-diff	0	(*.f64 x.re x.re)
cost-diff	0	(.f64 #s(literal -3 binary64) (.f64 x.re x.re))
cost-diff	0	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (fma.f64 (.f64 #s(literal -3 binary64) (.f64 x.re x.re)) (neg.f64 x.im) (.f64 (.f64 x.im x.im) (neg.f64 x.im))))
cost-diff	128	(fma.f64 (.f64 #s(literal -3 binary64) (.f64 x.re x.re)) (neg.f64 x.im) (.f64 (.f64 x.im x.im) (neg.f64 x.im)))
cost-diff	0	(*.f64 #s(literal 3 binary64) x.re)
cost-diff	0	(.f64 x.im (.f64 #s(literal 3 binary64) x.re))
cost-diff	0	(.f64 x.re (.f64 x.im (*.f64 #s(literal 3 binary64) x.re)))
cost-diff	0	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 x.im (*.f64 #s(literal 3 binary64) x.re))))
cost-diff	0	(+.f64 x.im x.re)
cost-diff	0	(.f64 (+.f64 x.im x.re) #s(approx ( (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re)))
cost-diff	128	(+.f64 (.f64 (+.f64 x.im x.re) #s(approx ( (- x.re x.im) x.im) (.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
cost-diff	1024	(*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	510
0	90	478
1	171	478
2	446	474
3	1270	450
4	2857	408
5	4786	408
0	8067	391

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(+.f64 (.f64 (+.f64 x.im x.re) #s(approx ( (- x.re x.im) x.im) (.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
(.f64 (+.f64 x.im x.re) #s(approx ( (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re)))
(+.f64 x.im x.re)
x.im
x.re
#s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))
(*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re)
(fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im)
(neg.f64 x.im)
(/.f64 x.im x.re)
(.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)
(*.f64 x.re (+.f64 x.im x.im))
(+.f64 x.im x.im)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 x.im (*.f64 #s(literal 3 binary64) x.re))))
(.f64 x.re (.f64 x.im (*.f64 #s(literal 3 binary64) x.re)))
x.re
(.f64 x.im (.f64 #s(literal 3 binary64) x.re))
x.im
(*.f64 #s(literal 3 binary64) x.re)
#s(literal 3 binary64)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (fma.f64 (.f64 #s(literal -3 binary64) (.f64 x.re x.re)) (neg.f64 x.im) (.f64 (.f64 x.im x.im) (neg.f64 x.im))))
(fma.f64 (.f64 #s(literal -3 binary64) (.f64 x.re x.re)) (neg.f64 x.im) (.f64 (.f64 x.im x.im) (neg.f64 x.im)))
(.f64 #s(literal -3 binary64) (.f64 x.re x.re))
#s(literal -3 binary64)
(*.f64 x.re x.re)
x.re
(neg.f64 x.im)
x.im
(.f64 (.f64 x.im x.im) (neg.f64 x.im))
(*.f64 x.im x.im)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (.f64 (.f64 (fma.f64 x.im (/.f64 x.im (*.f64 x.re x.re)) #s(literal -3 binary64)) x.re) x.re)) (neg.f64 x.im)))
(.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (.f64 (.f64 (fma.f64 x.im (/.f64 x.im (*.f64 x.re x.re)) #s(literal -3 binary64)) x.re) x.re)) (neg.f64 x.im))
#s(approx (+ (* -3 (* x.re x.re)) (* x.im x.im)) (.f64 (.f64 (fma.f64 x.im (/.f64 x.im (*.f64 x.re x.re)) #s(literal -3 binary64)) x.re) x.re))
(.f64 (.f64 (fma.f64 x.im (/.f64 x.im (*.f64 x.re x.re)) #s(literal -3 binary64)) x.re) x.re)
(.f64 (fma.f64 x.im (/.f64 x.im (.f64 x.re x.re)) #s(literal -3 binary64)) x.re)
(fma.f64 x.im (/.f64 x.im (*.f64 x.re x.re)) #s(literal -3 binary64))
x.im
(/.f64 x.im (*.f64 x.re x.re))
(*.f64 x.re x.re)
x.re
#s(literal -3 binary64)
(neg.f64 x.im)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (.f64 (.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) x.re) x.re)) (/.f64 (*.f64 (neg.f64 x.im) x.im) (+.f64 #s(literal 0 binary64) x.im))))
(.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (.f64 (.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) x.re) x.re)) (/.f64 (*.f64 (neg.f64 x.im) x.im) (+.f64 #s(literal 0 binary64) x.im)))
#s(approx (+ (* -3 (* x.re x.re)) (* x.im x.im)) (.f64 (.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) x.re) x.re))
(.f64 (.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) x.re) x.re)
(*.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) x.re)
(fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64))
(/.f64 x.im x.re)
x.im
x.re
#s(literal -3 binary64)
(/.f64 (*.f64 (neg.f64 x.im) x.im) (+.f64 #s(literal 0 binary64) x.im))
(*.f64 (neg.f64 x.im) x.im)
(neg.f64 x.im)
(+.f64 #s(literal 0 binary64) x.im)
#s(literal 0 binary64)

Outputs
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) x.re) x.re) x.im (.f64 #s(approx ( (- x.re x.im) x.im) (*.f64 (-.f64 x.re x.im) x.im)) (+.f64 x.re x.im)))
(.f64 #s(approx ( (- x.re x.im) x.im) (*.f64 (-.f64 x.re x.im) x.im)) (+.f64 x.re x.im))
(+.f64 x.re x.im)
x.im
x.re
#s(approx (* (- x.re x.im) x.im) (*.f64 (-.f64 x.re x.im) x.im))
(*.f64 (-.f64 x.re x.im) x.im)
(fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im)
(neg.f64 x.im)
(/.f64 x.im x.re)
(.f64 (.f64 (*.f64 #s(literal 2 binary64) x.im) x.re) x.re)
(.f64 (.f64 #s(literal 2 binary64) x.im) x.re)
(*.f64 #s(literal 2 binary64) x.im)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re))
(.f64 (.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re)
x.re
(.f64 (.f64 #s(literal 3 binary64) x.re) x.im)
x.im
(*.f64 #s(literal 3 binary64) x.re)
#s(literal 3 binary64)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (fma.f64 (.f64 (.f64 #s(literal 3 binary64) x.re) x.im) x.re (pow.f64 (neg.f64 x.im) #s(literal 3 binary64))))
(fma.f64 (.f64 (.f64 #s(literal 3 binary64) x.re) x.im) x.re (pow.f64 (neg.f64 x.im) #s(literal 3 binary64)))
(.f64 (.f64 x.re x.re) #s(literal -3 binary64))
#s(literal -3 binary64)
(*.f64 x.re x.re)
x.re
(neg.f64 x.im)
x.im
(pow.f64 (neg.f64 x.im) #s(literal 3 binary64))
(*.f64 x.im x.im)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (fma.f64 (.f64 x.re x.re) #s(literal -3 binary64) (.f64 x.im x.im))) (neg.f64 x.im)))
(.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (fma.f64 (.f64 x.re x.re) #s(literal -3 binary64) (.f64 x.im x.im))) (neg.f64 x.im))
#s(approx (+ (* -3 (* x.re x.re)) (* x.im x.im)) (fma.f64 (.f64 x.re x.re) #s(literal -3 binary64) (.f64 x.im x.im)))
(fma.f64 (.f64 x.re x.re) #s(literal -3 binary64) (.f64 x.im x.im))
(fma.f64 #s(literal -3 binary64) x.re (*.f64 (/.f64 x.im x.re) x.im))
(fma.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im #s(literal -3 binary64))
x.im
(/.f64 (/.f64 x.im x.re) x.re)
(*.f64 x.re x.re)
x.re
#s(literal -3 binary64)
(neg.f64 x.im)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (fma.f64 (.f64 x.re x.re) #s(literal -3 binary64) (.f64 x.im x.im))) (neg.f64 x.im)))
(.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (fma.f64 (.f64 x.re x.re) #s(literal -3 binary64) (.f64 x.im x.im))) (neg.f64 x.im))
#s(approx (+ (* -3 (* x.re x.re)) (* x.im x.im)) (fma.f64 (.f64 x.re x.re) #s(literal -3 binary64) (.f64 x.im x.im)))
(fma.f64 (.f64 x.re x.re) #s(literal -3 binary64) (.f64 x.im x.im))
(fma.f64 #s(literal -3 binary64) x.re (*.f64 (/.f64 x.im x.re) x.im))
(fma.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im #s(literal -3 binary64))
(/.f64 x.im x.re)
x.im
x.re
#s(literal -3 binary64)
(neg.f64 x.im)
(*.f64 (neg.f64 x.im) x.im)
(neg.f64 x.im)
x.im
#s(literal 0 binary64)

localize230.0ms (2.9%)

Memory

0.8MiB live, 397.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	2.4428016812458573	(.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (.f64 (.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) x.re) x.re)) (/.f64 (*.f64 (neg.f64 x.im) x.im) (+.f64 #s(literal 0 binary64) x.im)))
accuracy	3.424266169228706	(.f64 (.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) x.re) x.re)
accuracy	4.313203216335506	(*.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) x.re)
accuracy	30.634863787461367	(/.f64 (*.f64 (neg.f64 x.im) x.im) (+.f64 #s(literal 0 binary64) x.im))
accuracy	2.4428016812458573	(.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (.f64 (.f64 (fma.f64 x.im (/.f64 x.im (*.f64 x.re x.re)) #s(literal -3 binary64)) x.re) x.re)) (neg.f64 x.im))
accuracy	3.424266169228706	(.f64 (.f64 (fma.f64 x.im (/.f64 x.im (*.f64 x.re x.re)) #s(literal -3 binary64)) x.re) x.re)
accuracy	4.313203216335506	(.f64 (fma.f64 x.im (/.f64 x.im (.f64 x.re x.re)) #s(literal -3 binary64)) x.re)
accuracy	9.97968269254129	(/.f64 x.im (*.f64 x.re x.re))
accuracy	0	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (fma.f64 (.f64 #s(literal -3 binary64) (.f64 x.re x.re)) (neg.f64 x.im) (.f64 (.f64 x.im x.im) (neg.f64 x.im))))
accuracy	0.09375	(.f64 (.f64 x.im x.im) (neg.f64 x.im))
accuracy	0.1640625	(.f64 #s(literal -3 binary64) (.f64 x.re x.re))
accuracy	7.872468539547915	(fma.f64 (.f64 #s(literal -3 binary64) (.f64 x.re x.re)) (neg.f64 x.im) (.f64 (.f64 x.im x.im) (neg.f64 x.im)))
accuracy	0	(*.f64 #s(literal 3 binary64) x.re)
accuracy	0.08984375	(.f64 x.re (.f64 x.im (*.f64 #s(literal 3 binary64) x.re)))
accuracy	0.19140625	(.f64 x.im (.f64 #s(literal 3 binary64) x.re))
accuracy	28.847531829878044	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 x.im (*.f64 #s(literal 3 binary64) x.re))))
accuracy	0.09375	(.f64 (+.f64 x.im x.re) #s(approx ( (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re)))
accuracy	0.09765625	(.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)
accuracy	3.369578669228706	(*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re)
accuracy	5.066364966604116	(+.f64 (.f64 (+.f64 x.im x.re) #s(approx ( (- x.re x.im) x.im) (.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))

Samples

169.0ms	236×	0	valid
7.0ms	8×	3	valid
5.0ms	3×	4	valid
5.0ms	6×	2	valid
2.0ms	3×	1	valid

Compiler

Compiled 868 to 107 computations (87.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

ival-mult: 50.0ms (63.9% of total)

ival-add: 13.0ms (16.6% of total)

adjust: 6.0ms (7.7% of total)

ival-div: 5.0ms (6.4% of total)

ival-sub: 2.0ms (2.6% of total)

ival-neg: 1.0ms (1.3% of total)

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

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

exact: 0.0ms (0% of total)

series48.0ms (0.6%)

Memory

24.6MiB live, 104.4MiB allocated

Counts

24 → 504

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 (.f64 (+.f64 x.im x.re) #s(approx ( (- x.re x.im) x.im) (.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (+.f64 x.im x.re) #s(approx ( (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 x.im x.re) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 x.im (*.f64 #s(literal 3 binary64) x.re)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 x.re (.f64 x.im (*.f64 #s(literal 3 binary64) x.re))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 x.im (.f64 #s(literal 3 binary64) x.re)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 #s(literal 3 binary64) x.re) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (.f64 #s(literal -3 binary64) (.f64 x.re x.re)) (neg.f64 x.im) (.f64 (.f64 x.im x.im) (neg.f64 x.im))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (fma.f64 (.f64 #s(literal -3 binary64) (.f64 x.re x.re)) (neg.f64 x.im) (.f64 (.f64 x.im x.im) (neg.f64 x.im)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 #s(literal -3 binary64) (.f64 x.re x.re)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 x.re x.re) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 (fma.f64 x.im (/.f64 x.im (*.f64 x.re x.re)) #s(literal -3 binary64)) x.re) x.re) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (fma.f64 x.im (/.f64 x.im (.f64 x.re x.re)) #s(literal -3 binary64)) x.re) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (.f64 (.f64 (fma.f64 x.im (/.f64 x.im (*.f64 x.re x.re)) #s(literal -3 binary64)) x.re) x.re)) (neg.f64 x.im))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (.f64 (.f64 (fma.f64 x.im (/.f64 x.im (*.f64 x.re x.re)) #s(literal -3 binary64)) x.re) x.re)) (neg.f64 x.im)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (*.f64 (neg.f64 x.im) x.im) (+.f64 #s(literal 0 binary64) x.im)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) x.re) x.re) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) x.re) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 #s(literal 0 binary64) x.im) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 x.im x.im) (neg.f64 x.im)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 x.im (*.f64 x.re x.re)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (.f64 (.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) x.re) x.re)) (/.f64 (*.f64 (neg.f64 x.im) x.im) (+.f64 #s(literal 0 binary64) x.im))) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (+.f64 (.f64 (+.f64 x.im x.re) #s(approx ( (- x.re x.im) x.im) (.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (+.f64 (.f64 (+.f64 x.im x.re) #s(approx ( (- x.re x.im) x.im) (.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (+.f64 (.f64 (+.f64 x.im x.re) #s(approx ( (- x.re x.im) x.im) (.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (+.f64 (.f64 (+.f64 x.im x.re) #s(approx ( (- x.re x.im) x.im) (.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (.f64 (+.f64 x.im x.re) #s(approx ( (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (.f64 (+.f64 x.im x.re) #s(approx ( (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (.f64 (+.f64 x.im x.re) #s(approx ( (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (.f64 (+.f64 x.im x.re) #s(approx ( (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (+.f64 x.im x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (+.f64 x.im x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (+.f64 x.im x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (+.f64 x.im x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 x.im (*.f64 #s(literal 3 binary64) x.re)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 x.im (*.f64 #s(literal 3 binary64) x.re)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 x.im (*.f64 #s(literal 3 binary64) x.re)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 x.im (*.f64 #s(literal 3 binary64) x.re)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (.f64 x.re (.f64 x.im (*.f64 #s(literal 3 binary64) x.re))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (.f64 x.re (.f64 x.im (*.f64 #s(literal 3 binary64) x.re))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (.f64 x.re (.f64 x.im (*.f64 #s(literal 3 binary64) x.re))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (.f64 x.re (.f64 x.im (*.f64 #s(literal 3 binary64) x.re))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x.im) (#s(alt #<batchref> (patch (.f64 x.im (.f64 #s(literal 3 binary64) x.re)) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (.f64 x.im (.f64 #s(literal 3 binary64) x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (*.f64 #s(literal 3 binary64) x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (*.f64 #s(literal 3 binary64) x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (*.f64 #s(literal 3 binary64) x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (*.f64 #s(literal 3 binary64) x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (fma.f64 (.f64 #s(literal -3 binary64) (.f64 x.re x.re)) (neg.f64 x.im) (.f64 (.f64 x.im x.im) (neg.f64 x.im))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (fma.f64 (.f64 #s(literal -3 binary64) (.f64 x.re x.re)) (neg.f64 x.im) (.f64 (.f64 x.im x.im) (neg.f64 x.im))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (fma.f64 (.f64 #s(literal -3 binary64) (.f64 x.re x.re)) (neg.f64 x.im) (.f64 (.f64 x.im x.im) (neg.f64 x.im))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (fma.f64 (.f64 #s(literal -3 binary64) (.f64 x.re x.re)) (neg.f64 x.im) (.f64 (.f64 x.im x.im) (neg.f64 x.im))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (fma.f64 (.f64 #s(literal -3 binary64) (.f64 x.re x.re)) (neg.f64 x.im) (.f64 (.f64 x.im x.im) (neg.f64 x.im)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (fma.f64 (.f64 #s(literal -3 binary64) (.f64 x.re x.re)) (neg.f64 x.im) (.f64 (.f64 x.im x.im) (neg.f64 x.im)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (fma.f64 (.f64 #s(literal -3 binary64) (.f64 x.re x.re)) (neg.f64 x.im) (.f64 (.f64 x.im x.im) (neg.f64 x.im)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (fma.f64 (.f64 #s(literal -3 binary64) (.f64 x.re x.re)) (neg.f64 x.im) (.f64 (.f64 x.im x.im) (neg.f64 x.im)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (.f64 #s(literal -3 binary64) (.f64 x.re x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (.f64 #s(literal -3 binary64) (.f64 x.re x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (.f64 #s(literal -3 binary64) (.f64 x.re x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (.f64 #s(literal -3 binary64) (.f64 x.re x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (*.f64 x.re x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (*.f64 x.re x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (*.f64 x.re x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (*.f64 x.re x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (.f64 (.f64 (fma.f64 x.im (/.f64 x.im (*.f64 x.re x.re)) #s(literal -3 binary64)) x.re) x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (.f64 (.f64 (fma.f64 x.im (/.f64 x.im (*.f64 x.re x.re)) #s(literal -3 binary64)) x.re) x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (.f64 (.f64 (fma.f64 x.im (/.f64 x.im (*.f64 x.re x.re)) #s(literal -3 binary64)) x.re) x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (.f64 (.f64 (fma.f64 x.im (/.f64 x.im (*.f64 x.re x.re)) #s(literal -3 binary64)) x.re) x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (.f64 (fma.f64 x.im (/.f64 x.im (.f64 x.re x.re)) #s(literal -3 binary64)) x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (.f64 (fma.f64 x.im (/.f64 x.im (.f64 x.re x.re)) #s(literal -3 binary64)) x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (.f64 (fma.f64 x.im (/.f64 x.im (.f64 x.re x.re)) #s(literal -3 binary64)) x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (.f64 (fma.f64 x.im (/.f64 x.im (.f64 x.re x.re)) #s(literal -3 binary64)) x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (.f64 (.f64 (fma.f64 x.im (/.f64 x.im (*.f64 x.re x.re)) #s(literal -3 binary64)) x.re) x.re)) (neg.f64 x.im))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (.f64 (.f64 (fma.f64 x.im (/.f64 x.im (*.f64 x.re x.re)) #s(literal -3 binary64)) x.re) x.re)) (neg.f64 x.im))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (.f64 (.f64 (fma.f64 x.im (/.f64 x.im (*.f64 x.re x.re)) #s(literal -3 binary64)) x.re) x.re)) (neg.f64 x.im))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (.f64 (.f64 (fma.f64 x.im (/.f64 x.im (*.f64 x.re x.re)) #s(literal -3 binary64)) x.re) x.re)) (neg.f64 x.im))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (.f64 (.f64 (fma.f64 x.im (/.f64 x.im (*.f64 x.re x.re)) #s(literal -3 binary64)) x.re) x.re)) (neg.f64 x.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (.f64 (.f64 (fma.f64 x.im (/.f64 x.im (*.f64 x.re x.re)) #s(literal -3 binary64)) x.re) x.re)) (neg.f64 x.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (.f64 (.f64 (fma.f64 x.im (/.f64 x.im (*.f64 x.re x.re)) #s(literal -3 binary64)) x.re) x.re)) (neg.f64 x.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (.f64 (.f64 (fma.f64 x.im (/.f64 x.im (*.f64 x.re x.re)) #s(literal -3 binary64)) x.re) x.re)) (neg.f64 x.im)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (.f64 (.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) x.re) x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (.f64 (.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) x.re) x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (.f64 (.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) x.re) x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (.f64 (.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) x.re) x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (*.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (.f64 (.f64 x.re (+.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (/.f64 x.im (*.f64 x.re x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (/.f64 x.im (*.f64 x.re x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (/.f64 x.im (*.f64 x.re x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (/.f64 x.im (*.f64 x.re x.re)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (.f64 (.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) x.re) x.re)) (/.f64 (*.f64 (neg.f64 x.im) x.im) (+.f64 #s(literal 0 binary64) x.im))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (.f64 (.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) x.re) x.re)) (/.f64 (*.f64 (neg.f64 x.im) x.im) (+.f64 #s(literal 0 binary64) x.im))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (.f64 (.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) x.re) x.re)) (/.f64 (*.f64 (neg.f64 x.im) x.im) (+.f64 #s(literal 0 binary64) x.im))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x.re) (#s(alt #<batchref> (patch (.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (.f64 (.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) x.re) x.re)) (/.f64 (*.f64 (neg.f64 x.im) x.im) (+.f64 #s(literal 0 binary64) x.im))) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	x.re	@	inf	((* (+ (* (neg x.im) (/ x.im x.re)) x.im) x.re) (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (* x.re (+ x.im x.im)) x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (+ x.im x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* x.re (* x.im (* 3 x.re))) (* x.im (* 3 x.re)) (* 3 x.re) (+ (* (* -3 (* x.re x.re)) (neg x.im)) (* (* x.im x.im) (neg x.im))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* -3 (* x.re x.re)) (* x.re x.re) (* (* (+ (* x.im (/ x.im (* x.re x.re))) -3) x.re) x.re) (* (+ (* x.im (/ x.im (* x.re x.re))) -3) x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* -3 (* x.re x.re)) (* x.im x.im)) (neg x.im)) (/ (* (neg x.im) x.im) (+ 0 x.im)) (* (* (+ (* (/ x.im x.re) (/ x.im x.re)) -3) x.re) x.re) (* (+ (* (/ x.im x.re) (/ x.im x.re)) -3) x.re) (+ 0 x.im) (* (* x.re (+ x.im x.im)) x.re) (* (* x.im x.im) (neg x.im)) (/ x.im (* x.re x.re)) (* (+ (* -3 (* x.re x.re)) (* x.im x.im)) (/ (* (neg x.im) x.im) (+ 0 x.im))))
4.0ms	x.im	@	-inf	((* (+ (* (neg x.im) (/ x.im x.re)) x.im) x.re) (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (* x.re (+ x.im x.im)) x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (+ x.im x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* x.re (* x.im (* 3 x.re))) (* x.im (* 3 x.re)) (* 3 x.re) (+ (* (* -3 (* x.re x.re)) (neg x.im)) (* (* x.im x.im) (neg x.im))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* -3 (* x.re x.re)) (* x.re x.re) (* (* (+ (* x.im (/ x.im (* x.re x.re))) -3) x.re) x.re) (* (+ (* x.im (/ x.im (* x.re x.re))) -3) x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* -3 (* x.re x.re)) (* x.im x.im)) (neg x.im)) (/ (* (neg x.im) x.im) (+ 0 x.im)) (* (* (+ (* (/ x.im x.re) (/ x.im x.re)) -3) x.re) x.re) (* (+ (* (/ x.im x.re) (/ x.im x.re)) -3) x.re) (+ 0 x.im) (* (* x.re (+ x.im x.im)) x.re) (* (* x.im x.im) (neg x.im)) (/ x.im (* x.re x.re)) (* (+ (* -3 (* x.re x.re)) (* x.im x.im)) (/ (* (neg x.im) x.im) (+ 0 x.im))))
4.0ms	x.im	@	inf	((* (+ (* (neg x.im) (/ x.im x.re)) x.im) x.re) (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (* x.re (+ x.im x.im)) x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (+ x.im x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* x.re (* x.im (* 3 x.re))) (* x.im (* 3 x.re)) (* 3 x.re) (+ (* (* -3 (* x.re x.re)) (neg x.im)) (* (* x.im x.im) (neg x.im))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* -3 (* x.re x.re)) (* x.re x.re) (* (* (+ (* x.im (/ x.im (* x.re x.re))) -3) x.re) x.re) (* (+ (* x.im (/ x.im (* x.re x.re))) -3) x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* -3 (* x.re x.re)) (* x.im x.im)) (neg x.im)) (/ (* (neg x.im) x.im) (+ 0 x.im)) (* (* (+ (* (/ x.im x.re) (/ x.im x.re)) -3) x.re) x.re) (* (+ (* (/ x.im x.re) (/ x.im x.re)) -3) x.re) (+ 0 x.im) (* (* x.re (+ x.im x.im)) x.re) (* (* x.im x.im) (neg x.im)) (/ x.im (* x.re x.re)) (* (+ (* -3 (* x.re x.re)) (* x.im x.im)) (/ (* (neg x.im) x.im) (+ 0 x.im))))
3.0ms	x.im	@	0	((* (+ (* (neg x.im) (/ x.im x.re)) x.im) x.re) (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (* x.re (+ x.im x.im)) x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (+ x.im x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* x.re (* x.im (* 3 x.re))) (* x.im (* 3 x.re)) (* 3 x.re) (+ (* (* -3 (* x.re x.re)) (neg x.im)) (* (* x.im x.im) (neg x.im))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* -3 (* x.re x.re)) (* x.re x.re) (* (* (+ (* x.im (/ x.im (* x.re x.re))) -3) x.re) x.re) (* (+ (* x.im (/ x.im (* x.re x.re))) -3) x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* -3 (* x.re x.re)) (* x.im x.im)) (neg x.im)) (/ (* (neg x.im) x.im) (+ 0 x.im)) (* (* (+ (* (/ x.im x.re) (/ x.im x.re)) -3) x.re) x.re) (* (+ (* (/ x.im x.re) (/ x.im x.re)) -3) x.re) (+ 0 x.im) (* (* x.re (+ x.im x.im)) x.re) (* (* x.im x.im) (neg x.im)) (/ x.im (* x.re x.re)) (* (+ (* -3 (* x.re x.re)) (* x.im x.im)) (/ (* (neg x.im) x.im) (+ 0 x.im))))
3.0ms	x.re	@	-inf	((* (+ (* (neg x.im) (/ x.im x.re)) x.im) x.re) (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (* x.re (+ x.im x.im)) x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (+ x.im x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* x.re (* x.im (* 3 x.re))) (* x.im (* 3 x.re)) (* 3 x.re) (+ (* (* -3 (* x.re x.re)) (neg x.im)) (* (* x.im x.im) (neg x.im))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* -3 (* x.re x.re)) (* x.re x.re) (* (* (+ (* x.im (/ x.im (* x.re x.re))) -3) x.re) x.re) (* (+ (* x.im (/ x.im (* x.re x.re))) -3) x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* -3 (* x.re x.re)) (* x.im x.im)) (neg x.im)) (/ (* (neg x.im) x.im) (+ 0 x.im)) (* (* (+ (* (/ x.im x.re) (/ x.im x.re)) -3) x.re) x.re) (* (+ (* (/ x.im x.re) (/ x.im x.re)) -3) x.re) (+ 0 x.im) (* (* x.re (+ x.im x.im)) x.re) (* (* x.im x.im) (neg x.im)) (/ x.im (* x.re x.re)) (* (+ (* -3 (* x.re x.re)) (* x.im x.im)) (/ (* (neg x.im) x.im) (+ 0 x.im))))

simplify175.0ms (2.2%)

Memory

-7.3MiB live, 180.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	187	5745
1	634	4765
2	2027	4129
3	7113	4129
0	8356	4001

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 486

Calls

Call 1

Inputs
(* x.im x.re)
(* x.im (+ x.re (* -1 x.im)))
(* x.im (+ x.re (* -1 x.im)))
(* x.im (+ x.re (* -1 x.im)))
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(* x.im (pow x.re 2))
(* x.im (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))
(* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))
(* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))
x.re
(+ x.im x.re)
(+ x.im x.re)
(+ x.im x.re)
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* -3 (pow x.re 2))
(+ (* -3 (pow x.re 2)) (pow x.im 2))
(+ (* -3 (pow x.re 2)) (pow x.im 2))
(+ (* -3 (pow x.re 2)) (pow x.im 2))
(* -3 x.re)
(+ (* -3 x.re) (/ (pow x.im 2) x.re))
(+ (* -3 x.re) (/ (pow x.im 2) x.re))
(+ (* -3 x.re) (/ (pow x.im 2) x.re))
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* 3 (* x.im (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -3 (pow x.re 2))
(+ (* -3 (pow x.re 2)) (pow x.im 2))
(+ (* -3 (pow x.re 2)) (pow x.im 2))
(+ (* -3 (pow x.re 2)) (pow x.im 2))
(* -3 x.re)
(+ (* -3 x.re) (/ (pow x.im 2) x.re))
(+ (* -3 x.re) (/ (pow x.im 2) x.re))
(+ (* -3 x.re) (/ (pow x.im 2) x.re))
x.im
x.im
x.im
x.im
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(/ x.im (pow x.re 2))
(/ x.im (pow x.re 2))
(/ x.im (pow x.re 2))
(/ x.im (pow x.re 2))
(* 3 (* x.im (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(* -1 (pow x.im 2))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1))
x.im
(* x.im (+ 1 (/ x.re x.im)))
(* x.im (+ 1 (/ x.re x.im)))
(* x.im (+ 1 (/ x.re x.im)))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(pow x.im 2)
(* (pow x.im 2) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))
(* (pow x.im 2) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))
(* (pow x.im 2) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))
(/ (pow x.im 2) x.re)
(* (pow x.im 2) (+ (* -3 (/ x.re (pow x.im 2))) (/ 1 x.re)))
(* (pow x.im 2) (+ (* -3 (/ x.re (pow x.im 2))) (/ 1 x.re)))
(* (pow x.im 2) (+ (* -3 (/ x.re (pow x.im 2))) (/ 1 x.re)))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(pow x.im 2)
(* (pow x.im 2) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))
(* (pow x.im 2) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))
(* (pow x.im 2) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))
(/ (pow x.im 2) x.re)
(* (pow x.im 2) (+ (* -3 (/ x.re (pow x.im 2))) (/ 1 x.re)))
(* (pow x.im 2) (+ (* -3 (/ x.re (pow x.im 2))) (/ 1 x.re)))
(* (pow x.im 2) (+ (* -3 (/ x.re (pow x.im 2))) (/ 1 x.re)))
x.im
x.im
x.im
x.im
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(/ x.im (pow x.re 2))
(/ x.im (pow x.re 2))
(/ x.im (pow x.re 2))
(/ x.im (pow x.re 2))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* -1 (pow x.im 2))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im)))))
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im)))))
x.im
(* -1 (* x.im (- (* -1 (/ x.re x.im)) 1)))
(* -1 (* x.im (- (* -1 (/ x.re x.im)) 1)))
(* -1 (* x.im (- (* -1 (/ x.re x.im)) 1)))
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(pow x.im 2)
(* (pow x.im 2) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))
(* (pow x.im 2) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))
(* (pow x.im 2) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))
(/ (pow x.im 2) x.re)
(* (pow x.im 2) (+ (* -3 (/ x.re (pow x.im 2))) (/ 1 x.re)))
(* (pow x.im 2) (+ (* -3 (/ x.re (pow x.im 2))) (/ 1 x.re)))
(* (pow x.im 2) (+ (* -3 (/ x.re (pow x.im 2))) (/ 1 x.re)))
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(pow x.im 2)
(* (pow x.im 2) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))
(* (pow x.im 2) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))
(* (pow x.im 2) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))
(/ (pow x.im 2) x.re)
(* (pow x.im 2) (+ (* -3 (/ x.re (pow x.im 2))) (/ 1 x.re)))
(* (pow x.im 2) (+ (* -3 (/ x.re (pow x.im 2))) (/ 1 x.re)))
(* (pow x.im 2) (+ (* -3 (/ x.re (pow x.im 2))) (/ 1 x.re)))
x.im
x.im
x.im
x.im
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(/ x.im (pow x.re 2))
(/ x.im (pow x.re 2))
(/ x.im (pow x.re 2))
(/ x.im (pow x.re 2))
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (pow x.im 2))
(+ (* -1 (pow x.im 2)) (* x.im x.re))
(+ (* -1 (pow x.im 2)) (* x.im x.re))
(+ (* -1 (pow x.im 2)) (* x.im x.re))
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im)))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im)))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im))))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im))))))
x.im
(+ x.im x.re)
(+ x.im x.re)
(+ x.im x.re)
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 x.re)
(* 3 x.re)
(* 3 x.re)
(* 3 x.re)
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(* -3 (pow x.re 2))
(* -3 (pow x.re 2))
(* -3 (pow x.re 2))
(* -3 (pow x.re 2))
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.im 2)
(+ (* -3 (pow x.re 2)) (pow x.im 2))
(+ (* -3 (pow x.re 2)) (pow x.im 2))
(+ (* -3 (pow x.re 2)) (pow x.im 2))
(/ (pow x.im 2) x.re)
(/ (+ (* -3 (pow x.re 2)) (pow x.im 2)) x.re)
(/ (+ (* -3 (pow x.re 2)) (pow x.im 2)) x.re)
(/ (+ (* -3 (pow x.re 2)) (pow x.im 2)) x.re)
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(pow x.im 2)
(+ (* -3 (pow x.re 2)) (pow x.im 2))
(+ (* -3 (pow x.re 2)) (pow x.im 2))
(+ (* -3 (pow x.re 2)) (pow x.im 2))
(/ (pow x.im 2) x.re)
(/ (+ (* -3 (pow x.re 2)) (pow x.im 2)) x.re)
(/ (+ (* -3 (pow x.re 2)) (pow x.im 2)) x.re)
(/ (+ (* -3 (pow x.re 2)) (pow x.im 2)) x.re)
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(/ x.im (pow x.re 2))
(/ x.im (pow x.re 2))
(/ x.im (pow x.re 2))
(/ x.im (pow x.re 2))
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(* x.im x.re)
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))
(* x.im (pow x.re 2))
(* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
x.re
(* x.re (+ 1 (/ x.im x.re)))
(* x.re (+ 1 (/ x.im x.re)))
(* x.re (+ 1 (/ x.im x.re)))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 x.re)
(* 3 x.re)
(* 3 x.re)
(* 3 x.re)
(* 3 (* x.im (pow x.re 2)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* -3 (pow x.re 2))
(* -3 (pow x.re 2))
(* -3 (pow x.re 2))
(* -3 (pow x.re 2))
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(* -3 (pow x.re 2))
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3))
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3))
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3))
(* -3 x.re)
(* x.re (- (/ (pow x.im 2) (pow x.re 2)) 3))
(* x.re (- (/ (pow x.im 2) (pow x.re 2)) 3))
(* x.re (- (/ (pow x.im 2) (pow x.re 2)) 3))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* 3 (* x.im (pow x.re 2)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* -3 (pow x.re 2))
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3))
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3))
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3))
(* -3 x.re)
(* x.re (- (/ (pow x.im 2) (pow x.re 2)) 3))
(* x.re (- (/ (pow x.im 2) (pow x.re 2)) 3))
(* x.re (- (/ (pow x.im 2) (pow x.re 2)) 3))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(/ x.im (pow x.re 2))
(/ x.im (pow x.re 2))
(/ x.im (pow x.re 2))
(/ x.im (pow x.re 2))
(* 3 (* x.im (pow x.re 2)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* x.im x.re)
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))
(* x.im (pow x.re 2))
(* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re))))
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re))))
x.re
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 (* x.im x.re))
(* 3 x.re)
(* 3 x.re)
(* 3 x.re)
(* 3 x.re)
(* 3 (* x.im (pow x.re 2)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* -3 (pow x.re 2))
(* -3 (pow x.re 2))
(* -3 (pow x.re 2))
(* -3 (pow x.re 2))
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(* -3 (pow x.re 2))
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3))
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3))
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3))
(* -3 x.re)
(* -1 (* x.re (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2))))))
(* -1 (* x.re (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2))))))
(* -1 (* x.re (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2))))))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* 3 (* x.im (pow x.re 2)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* -3 (pow x.re 2))
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3))
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3))
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3))
(* -3 x.re)
(* -1 (* x.re (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2))))))
(* -1 (* x.re (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2))))))
(* -1 (* x.re (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2))))))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(* 2 (* x.im (pow x.re 2)))
(/ x.im (pow x.re 2))
(/ x.im (pow x.re 2))
(/ x.im (pow x.re 2))
(/ x.im (pow x.re 2))
(* 3 (* x.im (pow x.re 2)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))

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

rewrite237.0ms (3%)

Memory

36.4MiB live, 337.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	330
0	89	303
1	347	277
2	2750	277
0	8537	268

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

24 → 704

Calls

Call 1

Inputs
(*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re)
(+.f64 (.f64 (+.f64 x.im x.re) #s(approx ( (- x.re x.im) x.im) (.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
(.f64 (+.f64 x.im x.re) #s(approx ( (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re)))
(+.f64 x.im x.re)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 x.im (*.f64 #s(literal 3 binary64) x.re))))
(.f64 x.re (.f64 x.im (*.f64 #s(literal 3 binary64) x.re)))
(.f64 x.im (.f64 #s(literal 3 binary64) x.re))
(*.f64 #s(literal 3 binary64) x.re)
(fma.f64 (.f64 #s(literal -3 binary64) (.f64 x.re x.re)) (neg.f64 x.im) (.f64 (.f64 x.im x.im) (neg.f64 x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (fma.f64 (.f64 #s(literal -3 binary64) (.f64 x.re x.re)) (neg.f64 x.im) (.f64 (.f64 x.im x.im) (neg.f64 x.im))))
(.f64 #s(literal -3 binary64) (.f64 x.re x.re))
(*.f64 x.re x.re)
(.f64 (.f64 (fma.f64 x.im (/.f64 x.im (*.f64 x.re x.re)) #s(literal -3 binary64)) x.re) x.re)
(.f64 (fma.f64 x.im (/.f64 x.im (.f64 x.re x.re)) #s(literal -3 binary64)) x.re)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (.f64 (.f64 (fma.f64 x.im (/.f64 x.im (*.f64 x.re x.re)) #s(literal -3 binary64)) x.re) x.re)) (neg.f64 x.im)))
(.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (.f64 (.f64 (fma.f64 x.im (/.f64 x.im (*.f64 x.re x.re)) #s(literal -3 binary64)) x.re) x.re)) (neg.f64 x.im))
(/.f64 (*.f64 (neg.f64 x.im) x.im) (+.f64 #s(literal 0 binary64) x.im))
(.f64 (.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) x.re) x.re)
(*.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) x.re)
(+.f64 #s(literal 0 binary64) x.im)
(.f64 (.f64 x.re (+.f64 x.im x.im)) x.re)
(.f64 (.f64 x.im x.im) (neg.f64 x.im))
(/.f64 x.im (*.f64 x.re x.re))
(.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (.f64 (.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) x.re) x.re)) (/.f64 (*.f64 (neg.f64 x.im) x.im) (+.f64 #s(literal 0 binary64) x.im)))

Outputs
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eval268.0ms (3.4%)

Memory: 9.5MiB live, 481.3MiB allocated
Compiler: Compiled 51 225 to 2 852 computations (94.4% saved)

prune129.0ms (1.6%)

Memory

-19.2MiB live, 143.2MiB allocated

Pruning

14 alts after pruning (5 fresh and 9 done)

	Pruned	Kept	Total
New	1 206	4	1 210
Fresh	1	1	2
Picked	2	3	5
Done	0	6	6
Total	1 209	14	1 223

Accuracy

100.0%

Counts

1 223 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	74.6%	(fma.f64 x.im (+.f64 x.re x.re) (.f64 #s(approx ( (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)) (+.f64 x.re x.im)))
	88.7%	(+.f64 (.f64 (fma.f64 (.f64 (neg.f64 x.im) x.im) (/.f64 #s(literal -1 binary64) x.im) x.re) #s(approx (* (- x.re x.im) x.im) (.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
✓	86.4%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (fma.f64 (.f64 #s(literal -3 binary64) (.f64 x.re x.re)) (neg.f64 x.im) (.f64 (.f64 x.im x.im) (neg.f64 x.im))))
	61.1%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow.f64 (neg.f64 x.im) #s(literal 3 binary64)))
✓	88.4%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im)))
✓	51.2%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
✓	51.2%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im)))
	77.2%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.im (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 3 binary64))) (*.f64 x.re x.re)))
✓	54.8%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im)))
	52.1%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (.f64 (.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) x.re) x.re)) (/.f64 (.f64 (neg.f64 x.im) x.im) (-.f64 (/.f64 (fma.f64 x.im x.im (.f64 x.im x.im)) x.im) x.im))))
✓	87.2%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (.f64 (.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) x.re) x.re)) (neg.f64 x.im)))
✓	73.0%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (.f64 (.f64 (fma.f64 x.im (/.f64 x.im (*.f64 x.re x.re)) #s(literal -3 binary64)) x.re) x.re)) (neg.f64 x.im)))
✓	61.0%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (*.f64 x.im x.im)) (neg.f64 x.im)))
✓	54.8%	#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 x.im (*.f64 #s(literal 3 binary64) x.re))))

Compiler

Compiled 1 301 to 401 computations (69.2% saved)

regimes24.0ms (0.3%)

Memory

18.4MiB live, 57.2MiB allocated

Counts

27 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (*.f64 x.im x.im)) (neg.f64 x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 x.im (*.f64 #s(literal 3 binary64) x.re))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 x.re (*.f64 #s(literal 3 binary64) x.im))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (fma.f64 (.f64 #s(literal -3 binary64) (.f64 x.re x.re)) (neg.f64 x.im) (.f64 (.f64 x.im x.im) (neg.f64 x.im))))
(+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
(+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (neg.f64 x.im) x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
(+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (.f64 (.f64 (fma.f64 x.im (/.f64 x.im (*.f64 x.re x.re)) #s(literal -3 binary64)) x.re) x.re)) (neg.f64 x.im)))
(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
(fma.f64 x.im (+.f64 x.re x.re) (.f64 #s(approx ( (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)) (+.f64 x.re x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (.f64 (.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) x.re) x.re)) (neg.f64 x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.im (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 3 binary64))) (*.f64 x.re x.re)))
(+.f64 (.f64 (+.f64 x.im x.re) #s(approx ( (- x.re x.im) x.im) (.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
(+.f64 (.f64 (+.f64 x.im x.re) #s(approx ( (- x.re x.im) x.im) (.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
(+.f64 (/.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (.f64 (.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) x.re) x.re)) (/.f64 (*.f64 (neg.f64 x.im) x.im) (+.f64 #s(literal 0 binary64) x.im))))
(+.f64 (.f64 (fma.f64 (.f64 (neg.f64 x.im) x.im) (/.f64 #s(literal -1 binary64) x.im) x.re) #s(approx (* (- x.re x.im) x.im) (.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) (.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
(+.f64 (/.f64 (.f64 (.f64 (+.f64 x.re x.im) (-.f64 x.im x.re)) #s(approx (* (- x.re x.im) x.im) (.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re))) (-.f64 x.im x.re)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (.f64 (.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -3 binary64)) x.re) x.re)) (/.f64 (.f64 (neg.f64 x.im) x.im) (-.f64 (/.f64 (fma.f64 x.im x.im (.f64 x.im x.im)) x.im) x.im))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow.f64 (neg.f64 x.im) #s(literal 3 binary64)))
(+.f64 (.f64 (-.f64 (exp.f64 (.f64 (log.f64 x.re) #s(literal 2 binary64))) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))

Outputs

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

(fma.f64 x.im (+.f64 x.re x.re) (*.f64 #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)) (+.f64 x.re x.im)))

Calls

3 calls:

8.0ms	x.im
8.0ms	x.re
7.0ms	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))

Results

Accuracy	Segments	Branch
96.6%	2	`x.re`
99.8%	2	`x.im`
99.8%	2	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes13.0ms (0.2%)

Memory

-20.2MiB live, 24.0MiB allocated

Counts

14 → 3

Calls

Call 1

Inputs
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (*.f64 x.im x.im)) (neg.f64 x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 x.im (*.f64 #s(literal 3 binary64) x.re))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 x.re (*.f64 #s(literal 3 binary64) x.im))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (fma.f64 (.f64 #s(literal -3 binary64) (.f64 x.re x.re)) (neg.f64 x.im) (.f64 (.f64 x.im x.im) (neg.f64 x.im))))
(+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
(+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (neg.f64 x.im) x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
(+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (.f64 (.f64 (fma.f64 x.im (/.f64 x.im (*.f64 x.re x.re)) #s(literal -3 binary64)) x.re) x.re)) (neg.f64 x.im)))
(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))

Outputs

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

#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* -3 (* x.re x.re)) (* x.im x.im)) (*.f64 (*.f64 (fma.f64 x.im (/.f64 x.im (*.f64 x.re x.re)) #s(literal -3 binary64)) x.re) x.re)) (neg.f64 x.im)))

#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* -3 (* x.re x.re)) (* x.im x.im)) (*.f64 x.im x.im)) (neg.f64 x.im)))

Calls

2 calls:

8.0ms	x.im
4.0ms	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))

Results

Accuracy	Segments	Branch
99.0%	3	`x.im`
95.9%	2	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes5.0ms (0.1%)

Memory

11.5MiB live, 11.5MiB allocated

Counts

12 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (*.f64 x.im x.im)) (neg.f64 x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 x.im (*.f64 #s(literal 3 binary64) x.re))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 x.re (*.f64 #s(literal 3 binary64) x.im))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (fma.f64 (.f64 #s(literal -3 binary64) (.f64 x.re x.re)) (neg.f64 x.im) (.f64 (.f64 x.im x.im) (neg.f64 x.im))))
(+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
(+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (neg.f64 x.im) x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
(+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))

Outputs

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

#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* -3 (* x.re x.re)) (* x.im x.im)) (*.f64 x.im x.im)) (neg.f64 x.im)))

Calls

1 calls:

4.0ms

x.im

Results

Accuracy	Segments	Branch
97.5%	2	`x.im`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes9.0ms (0.1%)

Memory

14.8MiB live, 14.8MiB allocated

Counts

11 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (*.f64 x.im x.im)) (neg.f64 x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 x.im (*.f64 #s(literal 3 binary64) x.re))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 x.re (*.f64 #s(literal 3 binary64) x.im))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (fma.f64 (.f64 #s(literal -3 binary64) (.f64 x.re x.re)) (neg.f64 x.im) (.f64 (.f64 x.im x.im) (neg.f64 x.im))))
(+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
(+.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 (neg.f64 x.im) x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))

Outputs

#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im)))

#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.im (*.f64 #s(literal 3 binary64) x.re))))

Calls

2 calls:

4.0ms	x.im
4.0ms	x.re

Results

Accuracy	Segments	Branch
95.9%	2	`x.re`
95.6%	3	`x.im`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes10.0ms (0.1%)

Memory

-24.1MiB live, 14.8MiB allocated

Counts

7 → 3

Calls

Call 1

Inputs
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (*.f64 x.im x.im)) (neg.f64 x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 x.im (*.f64 #s(literal 3 binary64) x.re))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 x.re (*.f64 #s(literal 3 binary64) x.im))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))

Outputs

#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* -3 (* x.re x.re)) (* x.im x.im)) (*.f64 x.im x.im)) (neg.f64 x.im)))

#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.im (*.f64 #s(literal 3 binary64) x.re))))

#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* -3 (* x.re x.re)) (* x.im x.im)) (*.f64 x.im x.im)) (neg.f64 x.im)))

Calls

3 calls:

4.0ms	x.re
3.0ms	x.im
3.0ms	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))

Results

Accuracy	Segments	Branch
80.3%	2	`x.im`
95.5%	3	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`
85.8%	2	`x.re`

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes4.0ms (0.1%)

Memory

8.5MiB live, 8.5MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (*.f64 x.im x.im)) (neg.f64 x.im)))

Outputs
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (*.f64 x.im x.im)) (neg.f64 x.im)))

Calls

3 calls:

1.0ms	x.re
1.0ms	x.im
1.0ms	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))

Results

Accuracy	Segments	Branch
61.0%	1	`x.im`
61.0%	1	`x.re`
61.0%	1	`(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))`

Compiler

Compiled 21 to 15 computations (28.6% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch20.0ms (0.3%)

Memory

-8.8MiB live, 29.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
2.0ms	5.488499042679642e+222	3.7745242851210953e+223
16.0ms	8.317018913674149e+98	8.061722058393278e+101

Samples

12.0ms

144×

valid

Compiler

Compiled 615 to 357 computations (42% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 5.0ms (70.4% of total)

ival-sub: 1.0ms (14.1% of total)

ival-add: 1.0ms (14.1% of total)

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

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

bsearch10.0ms (0.1%)

Memory

19.2MiB live, 19.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	5.488499042679642e+222	3.7745242851210953e+223

Samples

6.0ms

80×

valid

Compiler

Compiled 352 to 208 computations (40.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-mult: 3.0ms (78.4% of total)

ival-add: 1.0ms (26.1% of total)

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

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

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

bsearch20.0ms (0.3%)

Memory

-14.3MiB live, 23.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	7.76951726027665e+151	1.0171879074578827e+155

Samples

13.0ms

128×

valid

Compiler

Compiled 486 to 304 computations (37.4% saved)

Precisions

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

ival-add: 5.0ms (50.6% of total)

ival-mult: 5.0ms (50.6% of total)

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

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

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

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-1.33e-322	0.0

Compiler

Compiled 22 to 16 computations (27.3% saved)

simplify42.0ms (0.5%)

Memory

-32.5MiB live, 34.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	473
1	110	473
2	135	473
3	153	473
4	163	473
5	166	473

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) (+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) (fma.f64 x.im (+.f64 x.re x.re) (.f64 #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)) (+.f64 x.re x.im))))
(if (<=.f64 x.im #s(literal 799999999999999981639610612196269302757474175939320004903996779785594761744631929042609035585209237504 binary64)) (+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) (if (<=.f64 x.im #s(literal 10000000000000000466018071748206975684050858099493768614209804580186827813230862995727677122141957123210339765959854898653172616660068980913606220974926434405874301273673162218994872058950552383264597357715602427843549593600 binary64)) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (.f64 (.f64 (fma.f64 x.im (/.f64 x.im (.f64 x.re x.re)) #s(literal -3 binary64)) x.re) x.re)) (neg.f64 x.im))) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (*.f64 x.im x.im)) (neg.f64 x.im)))))
(if (<=.f64 x.im #s(literal 5699999999999999944577084249238382192094665210453594988130606504799884218148470382373604432699478663643801364498212798397898671270518023160096839279450507605988563478198240431427194802578584988364155583966086909792866009088 binary64)) (+.f64 (.f64 (+.f64 x.im x.re) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (*.f64 x.im x.im)) (neg.f64 x.im))))
(if (<=.f64 x.re #s(literal 7999999999999999997867224032985229958844312152947493490286721504194957436179390093383358076516537267549355030592229680163140752753032241761064126878056448 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.re x.re) (.f64 x.im x.im)) (neg.f64 x.im))) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 x.im (*.f64 #s(literal 3 binary64) x.re)))))
(if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal -5/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (.f64 x.im x.im)) (neg.f64 x.im))) (if (<=.f64 (+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 x.re (.f64 x.im (.f64 #s(literal 3 binary64) x.re)))) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (*.f64 x.im x.im)) (neg.f64 x.im)))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (*.f64 x.im x.im)) (neg.f64 x.im)))

Outputs
(if (<=.f64 (+.f64 (.f64 (+.f64 (.f64 x.im x.re) (.f64 x.im x.re)) x.re) (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im)) #s(literal +inf.0 binary64)) (+.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.re)) (.f64 (+.f64 (.f64 x.im x.re) (.f64 x.im x.re)) x.re)) (fma.f64 x.im (+.f64 x.re x.re) (.f64 #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)) (+.f64 x.im x.re))))
(if (<=.f64 x.im #s(literal 799999999999999981639610612196269302757474175939320004903996779785594761744631929042609035585209237504 binary64)) (+.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.re)) (.f64 (+.f64 (.f64 x.im x.re) (.f64 x.im x.re)) x.re)) (if (<=.f64 x.im #s(literal 10000000000000000466018071748206975684050858099493768614209804580186827813230862995727677122141957123210339765959854898653172616660068980913606220974926434405874301273673162218994872058950552383264597357715602427843549593600 binary64)) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (.f64 (.f64 (fma.f64 x.im (/.f64 x.im (.f64 x.re x.re)) #s(literal -3 binary64)) x.re) x.re)) (neg.f64 x.im))) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (*.f64 x.im x.im)) (neg.f64 x.im)))))
(if (<=.f64 x.im #s(literal 5699999999999999944577084249238382192094665210453594988130606504799884218148470382373604432699478663643801364498212798397898671270518023160096839279450507605988563478198240431427194802578584988364155583966086909792866009088 binary64)) (+.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.re)) (.f64 (+.f64 (.f64 x.im x.re) (.f64 x.im x.re)) x.re)) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (*.f64 x.im x.im)) (neg.f64 x.im))))
(if (<=.f64 x.re #s(literal 7999999999999999997867224032985229958844312152947493490286721504194957436179390093383358076516537267549355030592229680163140752753032241761064126878056448 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (fma.f64 #s(literal -3 binary64) (.f64 x.re x.re) (.f64 x.im x.im)) (neg.f64 x.im))) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re)))
(if (<=.f64 (+.f64 (.f64 (+.f64 (.f64 x.im x.re) (.f64 x.im x.re)) x.re) (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im)) #s(literal -5/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (.f64 x.im x.im)) (neg.f64 x.im))) (if (<=.f64 (+.f64 (.f64 (+.f64 (.f64 x.im x.re) (.f64 x.im x.re)) x.re) (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im)) #s(literal +inf.0 binary64)) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 (.f64 (.f64 #s(literal 3 binary64) x.re) x.im) x.re)) #s(approx (+ ( (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (*.f64 x.im x.im)) (neg.f64 x.im)))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (.f64 #s(approx (+ ( -3 (* x.re x.re)) (* x.im x.im)) (*.f64 x.im x.im)) (neg.f64 x.im)))

soundness1.1s (13.4%)

Memory

34.4MiB live, 613.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	243
0	58	243
1	199	215
0	1249	210
0	54	330
0	89	303
1	347	277
2	2750	277
0	8537	268
0	57	909
1	182	891
2	585	891
3	2559	891
4	6916	891
0	8750	891
0	46	323
0	70	318
1	239	290
0	1573	280
0	11	54
0	20	54
1	79	42
0	536	41
0	187	5532
1	640	4534
2	2038	3880
3	7217	3880
0	8430	3788

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 885 to 279 computations (68.5% saved)

preprocess168.0ms (2.1%)

Memory: -13.9MiB live, 209.0MiB allocated
Remove: (abs x.re)
Compiler: Compiled 1 408 to 362 computations (74.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample2.2s (28.1%)

explain210.0ms (2.7%)

preprocess282.0ms (3.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify201.0ms (2.6%)

localize31.0ms (0.4%)

series49.0ms (0.6%)

simplify137.0ms (1.7%)

rewrite65.0ms (0.8%)

eval32.0ms (0.4%)

prune12.0ms (0.2%)

simplify165.0ms (2.1%)

localize130.0ms (1.7%)

series37.0ms (0.5%)

simplify140.0ms (1.8%)

rewrite87.0ms (1.1%)

eval132.0ms (1.7%)

prune49.0ms (0.6%)

simplify466.0ms (5.9%)

localize149.0ms (1.9%)

series102.0ms (1.3%)

simplify138.0ms (1.7%)

rewrite94.0ms (1.2%)

eval172.0ms (2.2%)

prune100.0ms (1.3%)

simplify211.0ms (2.7%)

localize230.0ms (2.9%)

series48.0ms (0.6%)

simplify175.0ms (2.2%)

rewrite237.0ms (3%)

eval268.0ms (3.4%)

prune129.0ms (1.6%)

regimes24.0ms (0.3%)

regimes13.0ms (0.2%)

regimes5.0ms (0.1%)

regimes9.0ms (0.1%)

regimes10.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch0.0ms (0%)

bsearch20.0ms (0.3%)

bsearch10.0ms (0.1%)

bsearch20.0ms (0.3%)

bsearch1.0ms (0%)

simplify42.0ms (0.5%)

soundness1.1s (13.4%)

preprocess168.0ms (2.1%)

end0.0ms (0%)

Profiling