Metrics for math.cube on complex, imaginary part

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)

sample2.0s (14.9%)

Memory

20.4MiB live, 1 183.9MiB allocated

Samples

1.5s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 950.0ms

ival-mult: 586.0ms (61.7% of total)

ival-add: 249.0ms (26.2% of total)

ival-sub: 107.0ms (11.3% of total)

ival-true: 6.0ms (0.6% of total)

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

Bogosity

preprocess906.0ms (6.7%)

Memory

13.4MiB live, 545.4MiB allocated

Algorithm

1×	egg-herbie

Rules

19 136×	`lower-fma.f64`
19 136×	`lower-fma.f32`
2 550×	`lower-+.f32`
2 546×	`lower-+.f64`
2 546×	`lower-*.f32`

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

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

Symmetry

(abs x.re)

(negabs x.im)

explain281.0ms (2.1%)

Memory

-13.5MiB live, 288.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
22	-	-	`(+.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))`
21	-	-	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`
13	-	-	`(.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 (-.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	22	0
↳	`(*.f64 x.re x.re)`	overflow	70
↳	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	overflow	123
↳	`(*.f64 x.im x.im)`	overflow	74
↳	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)`	overflow	131
↳	`(*.f64 x.im x.re)`	overflow	40
↳	`(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)`	overflow	74
↳	`(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))`	overflow	40
↳	`(*.f64 x.re x.im)`	overflow	40
`-.f64`	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	nan-rescue	21	0
↳	`(*.f64 x.re x.re)`	overflow	70
↳	`(*.f64 x.im x.im)`	overflow	74
`*.f64`	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)`	*no**	13	0

Confusion

	Predicted +	Predicted -
+	45	0
-	0	211

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	45	0	0
-	0	1	210

Precision?

0.9782608695652174

Recall?

1.0

Freqs

test

number	freq
0	211
1	34
2	11

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

84.0ms

512×

valid

Compiler

Compiled 176 to 48 computations (72.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

ival-mult: 44.0ms (64.6% of total)

ival-sub: 19.0ms (27.9% of total)

ival-add: 4.0ms (5.9% of total)

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

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	82.7%	(+.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 11 computations (47.6% saved)

simplify633.0ms (4.6%)

Memory

-15.4MiB live, 540.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	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	320	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
✓	cost-diff	576	(+.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))

Rules

19 136×	`lower-fma.f64`
19 136×	`lower-fma.f32`
2 550×	`lower-+.f32`
2 546×	`lower-+.f64`
2 546×	`lower-*.f32`

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

localize77.0ms (0.6%)

Memory

19.9MiB live, 99.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
✓	accuracy	95.2%	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
✓	accuracy	92.6%	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
✓	accuracy	91.3%	(+.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))

Samples

65.0ms

256×

valid

Compiler

Compiled 67 to 13 computations (80.6% saved)

Precisions

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

ival-mult: 53.0ms (92.9% of total)

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

ival-sub: 1.0ms (1.8% of total)

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

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

series13.0ms (0.1%)

Memory

-17.8MiB live, 23.6MiB allocated

Counts

5 → 120

Calls

Call 1

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

Outputs
#<alt (* -1 (pow x.im 3))>
#<alt (+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))>
#<alt (+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))>
#<alt (+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))>
#<alt (* (pow x.re 2) (+ x.im (* 2 x.im)))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))>
#<alt (* (pow x.re 2) (+ x.im (* 2 x.im)))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))>
#<alt (* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))>
#<alt (* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))>
#<alt (* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))>
#<alt (* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))>
#<alt (* -1 (pow x.im 3))>
#<alt (* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* -1 (pow x.im 2))>
#<alt (- (pow x.re 2) (pow x.im 2))>
#<alt (- (pow x.re 2) (pow x.im 2))>
#<alt (- (pow x.re 2) (pow x.im 2))>
#<alt (pow x.re 2)>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (pow x.re 2)>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (pow x.re 2)>
#<alt (+ (* -1 (pow x.im 2)) (pow x.re 2))>
#<alt (+ (* -1 (pow x.im 2)) (pow x.re 2))>
#<alt (+ (* -1 (pow x.im 2)) (pow x.re 2))>
#<alt (* -1 (pow x.im 2))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))>
#<alt (* -1 (pow x.im 2))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))>
#<alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))>
#<alt (* -1 (pow x.im 3))>
#<alt (+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))>
#<alt (+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))>
#<alt (+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))>
#<alt (* x.im (pow x.re 2))>
#<alt (* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))>
#<alt (* x.im (pow x.re 2))>
#<alt (* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))>
#<alt (* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))>
#<alt (* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))>
#<alt (* -1 (pow x.im 3))>
#<alt (* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))>
#<alt (* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))>
#<alt (* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>

Calls

30 calls:

Time	Variable		Point	Expression
3.0ms	x.re	@	0	(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
1.0ms	x.im	@	-inf	(* (+ (* x.re x.im) (* x.im x.re)) x.re)
1.0ms	x.im	@	-inf	(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
1.0ms	x.im	@	0	(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
1.0ms	x.re	@	inf	(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))

rewrite58.0ms (0.4%)

Memory

3.5MiB live, 118.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

408×	`lower-fma.f64`
408×	`lower-fma.f32`
338×	`lower-*.f32`
326×	`lower-*.f64`
150×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	51
0	20	51
1	79	39
0	536	38

Stop Event

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

Counts

5 → 77

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

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

simplify407.0ms (3%)

Memory

14.5MiB live, 649.5MiB allocated

Algorithm

1×	egg-herbie

Rules

16 068×	`lower-fma.f64`
16 068×	`lower-fma.f32`
3 490×	`lower-*.f64`
3 490×	`lower-*.f32`
1 406×	`lower-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	57	891
1	182	855
2	585	855
3	2562	855
4	6883	855
0	8692	855

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

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

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

eval21.0ms (0.2%)

Memory: -16.3MiB live, 64.1MiB allocated
Compiler: Compiled 4 534 to 292 computations (93.6% saved)

prune17.0ms (0.1%)

Memory

22.2MiB live, 61.1MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	188	9	197
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	189	9	198

Accuracy

99.9%

Counts

198 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	91.2%	(fma.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im) (.f64 x.re (*.f64 x.re (+.f64 x.im x.im))))
▶	17.2%	(/.f64 (-.f64 (.f64 (.f64 x.re x.re) (.f64 (.f64 x.re (+.f64 x.im x.im)) (.f64 x.re (+.f64 x.im x.im)))) (.f64 x.im (.f64 (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (.f64 (.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im))))) (-.f64 (.f64 x.re (.f64 x.re (+.f64 x.im x.im))) (.f64 (.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im))))
▶	33.2%	(+.f64 (/.f64 (.f64 (.f64 (fma.f64 x.re x.re (.f64 x.im x.im)) (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) x.im) (fma.f64 x.re x.re (.f64 x.im x.im))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
	36.3%	(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (.f64 x.im x.im)) (.f64 (fma.f64 x.re x.re (.f64 x.im x.im)) (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
	51.0%	(+.f64 (.f64 (.f64 x.re x.re) x.im) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
	20.5%	(.f64 (.f64 (fma.f64 x.re (.f64 x.re (+.f64 x.im x.im)) (.f64 (.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im))) (-.f64 (.f64 (.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)) (.f64 x.re (.f64 x.re (+.f64 x.im x.im))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)) (.f64 x.re (*.f64 x.re (+.f64 x.im x.im))))))
▶	57.1%	(.f64 (.f64 x.im x.im) (neg.f64 x.im))
▶	91.2%	(.f64 x.im (fma.f64 x.im (neg.f64 x.im) (.f64 #s(literal 3 binary64) (*.f64 x.re x.re))))
	51.0%	(.f64 x.im (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))

Compiler

Compiled 496 to 204 computations (58.9% saved)

simplify404.0ms (3%)

Memory

-41.7MiB live, 848.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	64	(.f64 (.f64 x.re (+.f64 x.im x.im)) (*.f64 x.re (+.f64 x.im x.im)))
✓	cost-diff	448	(-.f64 (.f64 x.re (.f64 x.re (+.f64 x.im x.im))) (.f64 (.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)))
✓	cost-diff	960	(-.f64 (.f64 (.f64 x.re x.re) (.f64 (.f64 x.re (+.f64 x.im x.im)) (.f64 x.re (+.f64 x.im x.im)))) (.f64 x.im (.f64 (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (.f64 (.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)))))
✓	cost-diff	3904	(/.f64 (-.f64 (.f64 (.f64 x.re x.re) (.f64 (.f64 x.re (+.f64 x.im x.im)) (.f64 x.re (+.f64 x.im x.im)))) (.f64 x.im (.f64 (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (.f64 (.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im))))) (-.f64 (.f64 x.re (.f64 x.re (+.f64 x.im x.im))) (.f64 (.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im))))
✓	cost-diff	0	(.f64 (.f64 (fma.f64 x.re x.re (.f64 x.im x.im)) (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) x.im)
✓	cost-diff	320	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
✓	cost-diff	448	(+.f64 (/.f64 (.f64 (.f64 (fma.f64 x.re x.re (.f64 x.im x.im)) (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) x.im) (fma.f64 x.re x.re (.f64 x.im x.im))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
✓	cost-diff	2432	(/.f64 (.f64 (.f64 (fma.f64 x.re x.re (.f64 x.im x.im)) (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) x.im) (fma.f64 x.re x.re (*.f64 x.im x.im)))
✓	cost-diff	0	(.f64 #s(literal 3 binary64) (.f64 x.re x.re))
✓	cost-diff	0	(neg.f64 x.im)
✓	cost-diff	0	(fma.f64 x.im (neg.f64 x.im) (.f64 #s(literal 3 binary64) (.f64 x.re x.re)))
✓	cost-diff	0	(.f64 x.im (fma.f64 x.im (neg.f64 x.im) (.f64 #s(literal 3 binary64) (*.f64 x.re x.re))))
✓	cost-diff	0	(neg.f64 x.im)
✓	cost-diff	0	(*.f64 x.im x.im)
✓	cost-diff	0	(.f64 (.f64 x.im x.im) (neg.f64 x.im))
✓	cost-diff	0	(-.f64 x.re x.im)
✓	cost-diff	0	(*.f64 (-.f64 x.re x.im) x.im)
✓	cost-diff	0	(+.f64 x.re x.im)
✓	cost-diff	320	(fma.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im) (.f64 x.re (*.f64 x.re (+.f64 x.im x.im))))

Rules

17 728×	`lower-fma.f32`
17 722×	`lower-fma.f64`
4 554×	`lower-+.f32`
4 546×	`lower-+.f64`
4 522×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	435
0	71	428
1	158	420
2	480	406
3	3356	340
0	8078	336

Stop Event

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

Calls

Call 1

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

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

localize144.0ms (1.1%)

Memory

27.8MiB live, 343.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	95.3%	(.f64 (.f64 x.re x.re) (.f64 (.f64 x.re (+.f64 x.im x.im)) (*.f64 x.re (+.f64 x.im x.im))))
✓	accuracy	83.8%	(-.f64 (.f64 x.re (.f64 x.re (+.f64 x.im x.im))) (.f64 (.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)))
✓	accuracy	63.4%	(-.f64 (.f64 (.f64 x.re x.re) (.f64 (.f64 x.re (+.f64 x.im x.im)) (.f64 x.re (+.f64 x.im x.im)))) (.f64 x.im (.f64 (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (.f64 (.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im)))))
✓	accuracy	25.3%	(/.f64 (-.f64 (.f64 (.f64 x.re x.re) (.f64 (.f64 x.re (+.f64 x.im x.im)) (.f64 x.re (+.f64 x.im x.im)))) (.f64 x.im (.f64 (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (.f64 (.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im))))) (-.f64 (.f64 x.re (.f64 x.re (+.f64 x.im x.im))) (.f64 (.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im))))
✓	accuracy	99.8%	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
✓	accuracy	98.1%	(.f64 (.f64 (fma.f64 x.re x.re (.f64 x.im x.im)) (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) x.im)
✓	accuracy	91.3%	(+.f64 (/.f64 (.f64 (.f64 (fma.f64 x.re x.re (.f64 x.im x.im)) (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) x.im) (fma.f64 x.re x.re (.f64 x.im x.im))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
✓	accuracy	40.2%	(/.f64 (.f64 (.f64 (fma.f64 x.re x.re (.f64 x.im x.im)) (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) x.im) (fma.f64 x.re x.re (*.f64 x.im x.im)))
✓	accuracy	100.0%	(neg.f64 x.im)
✓	accuracy	99.7%	(.f64 #s(literal 3 binary64) (.f64 x.re x.re))
✓	accuracy	96.1%	(fma.f64 x.im (neg.f64 x.im) (.f64 #s(literal 3 binary64) (.f64 x.re x.re)))
✓	accuracy	95.2%	(.f64 x.im (fma.f64 x.im (neg.f64 x.im) (.f64 #s(literal 3 binary64) (*.f64 x.re x.re))))
✓	accuracy	100.0%	(*.f64 x.im x.im)
✓	accuracy	100.0%	(neg.f64 x.im)
✓	accuracy	99.9%	(.f64 (.f64 x.im x.im) (neg.f64 x.im))
✓	accuracy	100.0%	(*.f64 x.re (+.f64 x.im x.im))
✓	accuracy	100.0%	(*.f64 (-.f64 x.re x.im) x.im)
✓	accuracy	99.8%	(.f64 x.re (.f64 x.re (+.f64 x.im x.im)))
✓	accuracy	91.4%	(fma.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im) (.f64 x.re (*.f64 x.re (+.f64 x.im x.im))))

Samples

86.0ms

256×

valid

Compiler

Compiled 447 to 40 computations (91.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

ival-mult: 31.0ms (47% of total)

ival-add: 25.0ms (37.9% of total)

ival-sub: 4.0ms (6.1% of total)

ival-div: 4.0ms (6.1% of total)

ival-neg: 1.0ms (1.5% of total)

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

exact: 0.0ms (0% of total)

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

series42.0ms (0.3%)

Memory

0.9MiB live, 117.4MiB allocated

Counts

22 → 480

Calls

Call 1

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

Outputs
#<alt (* -1 (pow x.im 3))>
#<alt (+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im)))))>
#<alt (+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))>
#<alt (+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))>
#<alt (* (pow x.re 2) (+ x.im (* 2 x.im)))>
#<alt (* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))>
#<alt (* (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)))))>
#<alt (* (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)))))>
#<alt (* (pow x.re 2) (+ x.im (* 2 x.im)))>
#<alt (* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))>
#<alt (* (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))))>
#<alt (* (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))))>
#<alt (* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))>
#<alt (* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))))>
#<alt (* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))>
#<alt (* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))>
#<alt (* -1 (pow x.im 3))>
#<alt (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))>
#<alt (* (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))>
#<alt (* (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))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))>
#<alt (* -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)))))>
#<alt (* -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)))))>
#<alt x.im>
#<alt (+ x.im x.re)>
#<alt (+ x.im x.re)>
#<alt (+ x.im x.re)>
#<alt x.re>
#<alt (* x.re (+ 1 (/ x.im x.re)))>
#<alt (* x.re (+ 1 (/ x.im x.re)))>
#<alt (* x.re (+ 1 (/ x.im x.re)))>
#<alt x.re>
#<alt (* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))>
#<alt (* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))>
#<alt (* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))>
#<alt x.re>
#<alt (+ x.im x.re)>
#<alt (+ x.im x.re)>
#<alt (+ x.im x.re)>
#<alt x.im>
#<alt (* x.im (+ 1 (/ x.re x.im)))>
#<alt (* x.im (+ 1 (/ x.re x.im)))>
#<alt (* x.im (+ 1 (/ x.re x.im)))>
#<alt x.im>
#<alt (* -1 (* x.im (- (* -1 (/ x.re x.im)) 1)))>
#<alt (* -1 (* x.im (- (* -1 (/ x.re x.im)) 1)))>
#<alt (* -1 (* x.im (- (* -1 (/ x.re x.im)) 1)))>
#<alt (* -1 (pow x.im 2))>
#<alt (+ (* -1 (pow x.im 2)) (* x.im x.re))>
#<alt (+ (* -1 (pow x.im 2)) (* x.im x.re))>
#<alt (+ (* -1 (pow x.im 2)) (* x.im x.re))>
#<alt (* x.im x.re)>
#<alt (* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))>
#<alt (* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))>
#<alt (* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))>
#<alt (* x.im x.re)>
#<alt (* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))>
#<alt (* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))>
#<alt (* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))>
#<alt (* x.im x.re)>
#<alt (* x.im (+ x.re (* -1 x.im)))>
#<alt (* x.im (+ x.re (* -1 x.im)))>
#<alt (* x.im (+ x.re (* -1 x.im)))>
#<alt (* -1 (pow x.im 2))>
#<alt (* (pow x.im 2) (- (/ x.re x.im) 1))>
#<alt (* (pow x.im 2) (- (/ x.re x.im) 1))>
#<alt (* (pow x.im 2) (- (/ x.re x.im) 1))>
#<alt (* -1 (pow x.im 2))>
#<alt (* (pow x.im 2) (- (/ x.re x.im) 1))>
#<alt (* (pow x.im 2) (- (/ x.re x.im) 1))>
#<alt (* (pow x.im 2) (- (/ x.re x.im) 1))>
#<alt (* -1 x.im)>
#<alt (- x.re x.im)>
#<alt (- x.re x.im)>
#<alt (- x.re x.im)>
#<alt x.re>
#<alt (* x.re (+ 1 (* -1 (/ x.im x.re))))>
#<alt (* x.re (+ 1 (* -1 (/ x.im x.re))))>
#<alt (* x.re (+ 1 (* -1 (/ x.im x.re))))>
#<alt x.re>
#<alt (* -1 (* x.re (- (/ x.im x.re) 1)))>
#<alt (* -1 (* x.re (- (/ x.im x.re) 1)))>
#<alt (* -1 (* x.re (- (/ x.im x.re) 1)))>
#<alt x.re>
#<alt (+ x.re (* -1 x.im))>
#<alt (+ x.re (* -1 x.im))>
#<alt (+ x.re (* -1 x.im))>
#<alt (* -1 x.im)>
#<alt (* x.im (- (/ x.re x.im) 1))>
#<alt (* x.im (- (/ x.re x.im) 1))>
#<alt (* x.im (- (/ x.re x.im) 1))>
#<alt (* -1 x.im)>
#<alt (* -1 (* x.im (+ 1 (* -1 (/ x.re x.im)))))>
#<alt (* -1 (* x.im (+ 1 (* -1 (/ x.re x.im)))))>
#<alt (* -1 (* x.im (+ 1 (* -1 (/ x.re x.im)))))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))>
#<alt (* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))>
#<alt (* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))>
#<alt (* -1 (pow x.im 3))>
#<alt (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))>
#<alt (* -1 (pow x.im 3))>
#<alt (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))>
#<alt (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))>
#<alt (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))>
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))>
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))>
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))>
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))>
#<alt (* 3 (pow x.re 2))>
#<alt (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))>
#<alt (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))>
#<alt (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))>
#<alt (* -1 (pow x.im 2))>
#<alt (* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* -1 (pow x.im 2))>
#<alt (* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* -1 (pow x.im 2))>
#<alt (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))>
#<alt (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))>
#<alt (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))>
#<alt (* 3 (pow x.re 2))>
#<alt (* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* 3 (pow x.re 2))>
#<alt (* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* -1 (pow x.im 3))>
#<alt (+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im)))))>
#<alt (+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im))))))>
#<alt (+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im))))))>
#<alt (* x.im (pow x.re 2))>
#<alt (* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))>
#<alt (* x.im (pow x.re 2))>
#<alt (* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))>
#<alt (* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re))))>
#<alt (* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re))))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))>
#<alt (* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))>
#<alt (* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))>
#<alt (* -1 (pow x.im 3))>
#<alt (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))>
#<alt (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1))>
#<alt (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im)))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im)))))>
#<alt (* -1 (pow x.im 3))>
#<alt (+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im)))))>
#<alt (+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))>
#<alt (+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))>
#<alt (* (pow x.re 2) (+ x.im (* 2 x.im)))>
#<alt (* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))>
#<alt (* (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)))))>
#<alt (* (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)))))>
#<alt (* (pow x.re 2) (+ x.im (* 2 x.im)))>
#<alt (* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))>
#<alt (* (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))))>
#<alt (* (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))))>
#<alt (* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))>
#<alt (* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))))>
#<alt (* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))>
#<alt (* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))>
#<alt (* -1 (pow x.im 3))>
#<alt (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))>
#<alt (* (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))>
#<alt (* (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))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))>
#<alt (* -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)))))>
#<alt (* -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)))))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* -1 (pow x.im 5))>
#<alt (+ (* -1 (pow x.im 5)) (* x.im (* x.re (+ (* -1 (pow x.im 3)) (pow x.im 3)))))>
#<alt (+ (* -1 (pow x.im 5)) (* x.re (+ (* x.im (* x.re (+ (* -1 (pow x.im 2)) (pow x.im 2)))) (* x.im (+ (* -1 (pow x.im 3)) (pow x.im 3))))))>
#<alt (+ (* -1 (pow x.im 5)) (* x.re (+ (* x.im (+ (* -1 (pow x.im 3)) (pow x.im 3))) (* x.re (+ (* x.im (* x.re (+ x.im (* -1 x.im)))) (* x.im (+ (* -1 (pow x.im 2)) (pow x.im 2))))))))>
#<alt (* x.im (pow x.re 4))>
#<alt (* (pow x.re 4) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))>
#<alt (* (pow x.re 4) (+ x.im (+ (/ (* x.im (+ x.im (* -1 x.im))) x.re) (/ (* x.im (+ (* -1 (pow x.im 2)) (pow x.im 2))) (pow x.re 2)))))>
#<alt (* (pow x.re 4) (+ x.im (+ (/ (* x.im (+ x.im (* -1 x.im))) x.re) (+ (/ (* x.im (+ (* -1 (pow x.im 2)) (pow x.im 2))) (pow x.re 2)) (/ (* x.im (+ (* -1 (pow x.im 3)) (pow x.im 3))) (pow x.re 3))))))>
#<alt (* x.im (pow x.re 4))>
#<alt (* (pow x.re 4) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))>
#<alt (* (pow x.re 4) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (* x.im (+ (* -1 (pow x.im 2)) (pow x.im 2))) x.re)) x.re))))>
#<alt (* (pow x.re 4) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (* -1 (/ (+ (* -1 (* x.im (+ (* -1 (pow x.im 2)) (pow x.im 2)))) (/ (* x.im (+ (* -1 (pow x.im 3)) (pow x.im 3))) x.re)) x.re))) x.re))))>
#<alt (* x.im (pow x.re 4))>
#<alt (* x.im (+ (* x.im (+ (* -1 (pow x.re 3)) (pow x.re 3))) (pow x.re 4)))>
#<alt (* x.im (+ (* x.im (+ (* -1 (pow x.re 3)) (+ (* x.im (+ (* -1 (pow x.re 2)) (pow x.re 2))) (pow x.re 3)))) (pow x.re 4)))>
#<alt (* x.im (+ (* x.im (+ (* -1 (pow x.re 3)) (+ (* x.im (+ (* -1 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))) (pow x.re 3)))) (pow x.re 4)))>
#<alt (* -1 (pow x.im 5))>
#<alt (* (pow x.im 5) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))>
#<alt (* (pow x.im 5) (- (+ (* -1 (/ x.re x.im)) (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))>
#<alt (* (pow x.im 5) (- (+ (* -1 (/ x.re x.im)) (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (pow x.re 3) (pow x.im 3))) (+ (/ x.re x.im) (+ (/ (pow x.re 2) (pow x.im 2)) (/ (pow x.re 3) (pow x.im 3))))))) 1))>
#<alt (* -1 (pow x.im 5))>
#<alt (* -1 (* (pow x.im 5) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))>
#<alt (* -1 (* (pow x.im 5) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (+ (* -1 (/ (pow x.re 2) x.im)) (/ (pow x.re 2) x.im))) x.im)))))>
#<alt (* -1 (* (pow x.im 5) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -1 (+ (* -1 (pow x.re 2)) (pow x.re 2))) (+ (* -1 (/ (pow x.re 3) x.im)) (/ (pow x.re 3) x.im))) x.im))) x.im)))))>
#<alt (* -1 (pow x.im 3))>
#<alt (+ (* -1 (pow x.im 3)) (* x.re (- (* -1 (/ (+ (* -2 (pow x.im 3)) (* 2 (pow x.im 3))) x.im)) (* x.im (+ x.im (* -1 x.im))))))>
#<alt (+ (* -1 (pow x.im 3)) (* x.re (- (+ (* -1 (/ (+ (* -2 (pow x.im 3)) (* 2 (pow x.im 3))) x.im)) (* x.re (- (* -1 (/ (+ (* -4 (pow x.im 2)) (* 2 (pow x.im 2))) x.im)) (+ (* -1 (- (* 2 x.im) x.im)) (* -1 (/ (* (+ x.im (* -1 x.im)) (- (* -1 (/ (+ (* -2 (pow x.im 3)) (* 2 (pow x.im 3))) x.im)) (* x.im (+ x.im (* -1 x.im))))) (pow x.im 2))))))) (* x.im (+ x.im (* -1 x.im))))))>
#<alt (+ (* -1 (pow x.im 3)) (* x.re (- (+ (* -1 (/ (+ (* -2 (pow x.im 3)) (* 2 (pow x.im 3))) x.im)) (* x.re (- (+ (* -1 (/ (+ (* -4 (pow x.im 2)) (* 2 (pow x.im 2))) x.im)) (* x.re (- (* -1 (/ (+ (* -2 x.im) (* 2 x.im)) x.im)) (+ (* -1 (/ (* (+ x.im (* -1 x.im)) (- (* -1 (/ (+ (* -4 (pow x.im 2)) (* 2 (pow x.im 2))) x.im)) (+ (* -1 (- (* 2 x.im) x.im)) (* -1 (/ (* (+ x.im (* -1 x.im)) (- (* -1 (/ (+ (* -2 (pow x.im 3)) (* 2 (pow x.im 3))) x.im)) (* x.im (+ x.im (* -1 x.im))))) (pow x.im 2)))))) (pow x.im 2))) (/ (* (- (* -1 (/ (+ (* -2 (pow x.im 3)) (* 2 (pow x.im 3))) x.im)) (* x.im (+ x.im (* -1 x.im)))) (- (* 2 x.im) x.im)) (pow x.im 3)))))) (+ (* -1 (- (* 2 x.im) x.im)) (* -1 (/ (* (+ x.im (* -1 x.im)) (- (* -1 (/ (+ (* -2 (pow x.im 3)) (* 2 (pow x.im 3))) x.im)) (* x.im (+ x.im (* -1 x.im))))) (pow x.im 2))))))) (* x.im (+ x.im (* -1 x.im))))))>
#<alt (/ (* (pow x.re 2) (- (* 4 (pow x.im 2)) (pow x.im 2))) (- (* 2 x.im) x.im))>
#<alt (* (pow x.re 2) (- (+ (* -1 (/ (* (pow x.im 2) (+ (* -2 x.im) (* 2 x.im))) (* x.re (- (* 2 x.im) x.im)))) (* 4 (/ (pow x.im 2) (- (* 2 x.im) x.im)))) (+ (* -1 (/ (* x.im (* (+ x.im (* -1 x.im)) (- (* 4 (pow x.im 2)) (pow x.im 2)))) (* x.re (pow (- (* 2 x.im) x.im) 2)))) (/ (pow x.im 2) (- (* 2 x.im) x.im)))))>
#<alt (* (pow x.re 2) (- (+ (* -1 (/ (* (pow x.im 2) (+ (* -4 (pow x.im 2)) (* 2 (pow x.im 2)))) (* (pow x.re 2) (- (* 2 x.im) x.im)))) (+ (* -1 (/ (* (pow x.im 2) (+ (* -2 x.im) (* 2 x.im))) (* x.re (- (* 2 x.im) x.im)))) (* 4 (/ (pow x.im 2) (- (* 2 x.im) x.im))))) (+ (* -1 (/ (* x.im (* (+ x.im (* -1 x.im)) (- (* -1 (/ (* (pow x.im 2) (+ (* -2 x.im) (* 2 x.im))) (- (* 2 x.im) x.im))) (* -1 (/ (* x.im (* (+ x.im (* -1 x.im)) (- (* 4 (pow x.im 2)) (pow x.im 2)))) (pow (- (* 2 x.im) x.im) 2)))))) (* (pow x.re 2) (- (* 2 x.im) x.im)))) (+ (* -1 (/ (* x.im (* (+ x.im (* -1 x.im)) (- (* 4 (pow x.im 2)) (pow x.im 2)))) (* x.re (pow (- (* 2 x.im) x.im) 2)))) (+ (/ (* (pow x.im 3) (- (* 4 (pow x.im 2)) (pow x.im 2))) (* (pow x.re 2) (pow (- (* 2 x.im) x.im) 2))) (/ (pow x.im 2) (- (* 2 x.im) x.im)))))))>
#<alt (* (pow x.re 2) (- (+ (* -1 (/ (* (pow x.im 2) (+ (* -4 (pow x.im 2)) (* 2 (pow x.im 2)))) (* (pow x.re 2) (- (* 2 x.im) x.im)))) (+ (* -1 (/ (* (pow x.im 2) (+ (* -2 x.im) (* 2 x.im))) (* x.re (- (* 2 x.im) x.im)))) (+ (* -1 (/ (* (pow x.im 2) (+ (* -2 (pow x.im 3)) (* 2 (pow x.im 3)))) (* (pow x.re 3) (- (* 2 x.im) x.im)))) (* 4 (/ (pow x.im 2) (- (* 2 x.im) x.im)))))) (+ (* -1 (/ (* x.im (* (+ x.im (* -1 x.im)) (- (* -1 (/ (* (pow x.im 2) (+ (* -4 (pow x.im 2)) (* 2 (pow x.im 2)))) (- (* 2 x.im) x.im))) (+ (* -1 (/ (* x.im (* (+ x.im (* -1 x.im)) (- (* -1 (/ (* (pow x.im 2) (+ (* -2 x.im) (* 2 x.im))) (- (* 2 x.im) x.im))) (* -1 (/ (* x.im (* (+ x.im (* -1 x.im)) (- (* 4 (pow x.im 2)) (pow x.im 2)))) (pow (- (* 2 x.im) x.im) 2)))))) (- (* 2 x.im) x.im))) (/ (* (pow x.im 3) (- (* 4 (pow x.im 2)) (pow x.im 2))) (pow (- (* 2 x.im) x.im) 2)))))) (* (pow x.re 3) (- (* 2 x.im) x.im)))) (+ (* -1 (/ (* x.im (* (+ x.im (* -1 x.im)) (- (* -1 (/ (* (pow x.im 2) (+ (* -2 x.im) (* 2 x.im))) (- (* 2 x.im) x.im))) (* -1 (/ (* x.im (* (+ x.im (* -1 x.im)) (- (* 4 (pow x.im 2)) (pow x.im 2)))) (pow (- (* 2 x.im) x.im) 2)))))) (* (pow x.re 2) (- (* 2 x.im) x.im)))) (+ (* -1 (/ (* x.im (* (+ x.im (* -1 x.im)) (- (* 4 (pow x.im 2)) (pow x.im 2)))) (* x.re (pow (- (* 2 x.im) x.im) 2)))) (+ (/ (* (pow x.im 3) (- (* -1 (/ (* (pow x.im 2) (+ (* -2 x.im) (* 2 x.im))) (- (* 2 x.im) x.im))) (* -1 (/ (* x.im (* (+ x.im (* -1 x.im)) (- (* 4 (pow x.im 2)) (pow x.im 2)))) (pow (- (* 2 x.im) x.im) 2))))) (* (pow x.re 3) (- (* 2 x.im) x.im))) (+ (/ (* (pow x.im 3) (- (* 4 (pow x.im 2)) (pow x.im 2))) (* (pow x.re 2) (pow (- (* 2 x.im) x.im) 2))) (/ (pow x.im 2) (- (* 2 x.im) x.im)))))))))>
#<alt (/ (* (pow x.re 2) (- (* 4 (pow x.im 2)) (pow x.im 2))) (- (* 2 x.im) x.im))>
#<alt (* (pow x.re 2) (- (+ (* -1 (/ (- (* -1 (/ (* (pow x.im 2) (+ (* -2 x.im) (* 2 x.im))) (- (* 2 x.im) x.im))) (/ (* x.im (* (+ x.im (* -1 x.im)) (- (* 4 (pow x.im 2)) (pow x.im 2)))) (pow (- (* 2 x.im) x.im) 2))) x.re)) (* 4 (/ (pow x.im 2) (- (* 2 x.im) x.im)))) (/ (pow x.im 2) (- (* 2 x.im) x.im))))>
#<alt (* (pow x.re 2) (- (+ (* -1 (/ (- (+ (* -1 (/ (* (pow x.im 2) (+ (* -2 x.im) (* 2 x.im))) (- (* 2 x.im) x.im))) (* -1 (/ (- (* -1 (/ (* (pow x.im 2) (+ (* -4 (pow x.im 2)) (* 2 (pow x.im 2)))) (- (* 2 x.im) x.im))) (+ (/ (* x.im (* (+ x.im (* -1 x.im)) (- (* -1 (/ (* (pow x.im 2) (+ (* -2 x.im) (* 2 x.im))) (- (* 2 x.im) x.im))) (/ (* x.im (* (+ x.im (* -1 x.im)) (- (* 4 (pow x.im 2)) (pow x.im 2)))) (pow (- (* 2 x.im) x.im) 2))))) (- (* 2 x.im) x.im)) (/ (* (pow x.im 3) (- (* 4 (pow x.im 2)) (pow x.im 2))) (pow (- (* 2 x.im) x.im) 2)))) x.re))) (/ (* x.im (* (+ x.im (* -1 x.im)) (- (* 4 (pow x.im 2)) (pow x.im 2)))) (pow (- (* 2 x.im) x.im) 2))) x.re)) (* 4 (/ (pow x.im 2) (- (* 2 x.im) x.im)))) (/ (pow x.im 2) (- (* 2 x.im) x.im))))>
#<alt (* (pow x.re 2) (- (+ (* -1 (/ (- (+ (* -1 (/ (* (pow x.im 2) (+ (* -2 x.im) (* 2 x.im))) (- (* 2 x.im) x.im))) (* -1 (/ (- (+ (* -1 (/ (* (pow x.im 2) (+ (* -4 (pow x.im 2)) (* 2 (pow x.im 2)))) (- (* 2 x.im) x.im))) (* -1 (/ (- (* -1 (/ (* (pow x.im 2) (+ (* -2 (pow x.im 3)) (* 2 (pow x.im 3)))) (- (* 2 x.im) x.im))) (+ (/ (* x.im (* (+ x.im (* -1 x.im)) (- (* -1 (/ (* (pow x.im 2) (+ (* -4 (pow x.im 2)) (* 2 (pow x.im 2)))) (- (* 2 x.im) x.im))) (+ (/ (* x.im (* (+ x.im (* -1 x.im)) (- (* -1 (/ (* (pow x.im 2) (+ (* -2 x.im) (* 2 x.im))) (- (* 2 x.im) x.im))) (/ (* x.im (* (+ x.im (* -1 x.im)) (- (* 4 (pow x.im 2)) (pow x.im 2)))) (pow (- (* 2 x.im) x.im) 2))))) (- (* 2 x.im) x.im)) (/ (* (pow x.im 3) (- (* 4 (pow x.im 2)) (pow x.im 2))) (pow (- (* 2 x.im) x.im) 2)))))) (- (* 2 x.im) x.im)) (/ (* (pow x.im 3) (- (* -1 (/ (* (pow x.im 2) (+ (* -2 x.im) (* 2 x.im))) (- (* 2 x.im) x.im))) (/ (* x.im (* (+ x.im (* -1 x.im)) (- (* 4 (pow x.im 2)) (pow x.im 2)))) (pow (- (* 2 x.im) x.im) 2)))) (- (* 2 x.im) x.im)))) x.re))) (+ (/ (* x.im (* (+ x.im (* -1 x.im)) (- (* -1 (/ (* (pow x.im 2) (+ (* -2 x.im) (* 2 x.im))) (- (* 2 x.im) x.im))) (/ (* x.im (* (+ x.im (* -1 x.im)) (- (* 4 (pow x.im 2)) (pow x.im 2)))) (pow (- (* 2 x.im) x.im) 2))))) (- (* 2 x.im) x.im)) (/ (* (pow x.im 3) (- (* 4 (pow x.im 2)) (pow x.im 2))) (pow (- (* 2 x.im) x.im) 2)))) x.re))) (/ (* x.im (* (+ x.im (* -1 x.im)) (- (* 4 (pow x.im 2)) (pow x.im 2)))) (pow (- (* 2 x.im) x.im) 2))) x.re)) (* 4 (/ (pow x.im 2) (- (* 2 x.im) x.im)))) (/ (pow x.im 2) (- (* 2 x.im) x.im))))>
#<alt (/ (* x.im (- (* 4 (pow x.re 4)) (pow x.re 4))) (- (* 2 (pow x.re 2)) (pow x.re 2)))>
#<alt (* x.im (- (+ (* 4 (/ (pow x.re 4) (- (* 2 (pow x.re 2)) (pow x.re 2)))) (* x.im (- (* -1 (/ (+ (* -2 (pow x.re 3)) (* 2 (pow x.re 3))) (- (* 2 (pow x.re 2)) (pow x.re 2)))) (* -1 (/ (* (+ x.re (* -1 x.re)) (- (* 4 (pow x.re 4)) (pow x.re 4))) (pow (- (* 2 (pow x.re 2)) (pow x.re 2)) 2)))))) (/ (pow x.re 4) (- (* 2 (pow x.re 2)) (pow x.re 2)))))>
#<alt (* x.im (- (+ (* 4 (/ (pow x.re 4) (- (* 2 (pow x.re 2)) (pow x.re 2)))) (* x.im (- (+ (* -1 (/ (+ (* -2 (pow x.re 3)) (* 2 (pow x.re 3))) (- (* 2 (pow x.re 2)) (pow x.re 2)))) (* x.im (- (+ (* -1 (/ (+ (* -4 (pow x.re 2)) (* 2 (pow x.re 2))) (- (* 2 (pow x.re 2)) (pow x.re 2)))) (/ (pow x.re 4) (pow (- (* 2 (pow x.re 2)) (pow x.re 2)) 2))) (+ (* -1 (/ (* (+ x.re (* -1 x.re)) (- (* -1 (/ (+ (* -2 (pow x.re 3)) (* 2 (pow x.re 3))) (- (* 2 (pow x.re 2)) (pow x.re 2)))) (* -1 (/ (* (+ x.re (* -1 x.re)) (- (* 4 (pow x.re 4)) (pow x.re 4))) (pow (- (* 2 (pow x.re 2)) (pow x.re 2)) 2))))) (- (* 2 (pow x.re 2)) (pow x.re 2)))) (* 4 (/ (pow x.re 4) (pow (- (* 2 (pow x.re 2)) (pow x.re 2)) 2))))))) (* -1 (/ (* (+ x.re (* -1 x.re)) (- (* 4 (pow x.re 4)) (pow x.re 4))) (pow (- (* 2 (pow x.re 2)) (pow x.re 2)) 2)))))) (/ (pow x.re 4) (- (* 2 (pow x.re 2)) (pow x.re 2)))))>
#<alt (* x.im (- (+ (* 4 (/ (pow x.re 4) (- (* 2 (pow x.re 2)) (pow x.re 2)))) (* x.im (- (+ (* -1 (/ (+ (* -2 (pow x.re 3)) (* 2 (pow x.re 3))) (- (* 2 (pow x.re 2)) (pow x.re 2)))) (* x.im (- (+ (* -1 (/ (+ (* -4 (pow x.re 2)) (* 2 (pow x.re 2))) (- (* 2 (pow x.re 2)) (pow x.re 2)))) (+ (* x.im (- (+ (* -1 (/ (* (+ x.re (* -1 x.re)) (- (* 4 (pow x.re 4)) (pow x.re 4))) (pow (- (* 2 (pow x.re 2)) (pow x.re 2)) 3))) (* -1 (/ (+ (* -2 x.re) (* 2 x.re)) (- (* 2 (pow x.re 2)) (pow x.re 2))))) (+ (* -1 (/ (* (+ x.re (* -1 x.re)) (- (+ (* -1 (/ (+ (* -4 (pow x.re 2)) (* 2 (pow x.re 2))) (- (* 2 (pow x.re 2)) (pow x.re 2)))) (/ (pow x.re 4) (pow (- (* 2 (pow x.re 2)) (pow x.re 2)) 2))) (+ (* -1 (/ (* (+ x.re (* -1 x.re)) (- (* -1 (/ (+ (* -2 (pow x.re 3)) (* 2 (pow x.re 3))) (- (* 2 (pow x.re 2)) (pow x.re 2)))) (* -1 (/ (* (+ x.re (* -1 x.re)) (- (* 4 (pow x.re 4)) (pow x.re 4))) (pow (- (* 2 (pow x.re 2)) (pow x.re 2)) 2))))) (- (* 2 (pow x.re 2)) (pow x.re 2)))) (* 4 (/ (pow x.re 4) (pow (- (* 2 (pow x.re 2)) (pow x.re 2)) 2)))))) (- (* 2 (pow x.re 2)) (pow x.re 2)))) (* -1 (/ (+ (* -2 (pow x.re 3)) (* 2 (pow x.re 3))) (pow (- (* 2 (pow x.re 2)) (pow x.re 2)) 2)))))) (/ (pow x.re 4) (pow (- (* 2 (pow x.re 2)) (pow x.re 2)) 2)))) (+ (* -1 (/ (* (+ x.re (* -1 x.re)) (- (* -1 (/ (+ (* -2 (pow x.re 3)) (* 2 (pow x.re 3))) (- (* 2 (pow x.re 2)) (pow x.re 2)))) (* -1 (/ (* (+ x.re (* -1 x.re)) (- (* 4 (pow x.re 4)) (pow x.re 4))) (pow (- (* 2 (pow x.re 2)) (pow x.re 2)) 2))))) (- (* 2 (pow x.re 2)) (pow x.re 2)))) (* 4 (/ (pow x.re 4) (pow (- (* 2 (pow x.re 2)) (pow x.re 2)) 2))))))) (* -1 (/ (* (+ x.re (* -1 x.re)) (- (* 4 (pow x.re 4)) (pow x.re 4))) (pow (- (* 2 (pow x.re 2)) (pow x.re 2)) 2)))))) (/ (pow x.re 4) (- (* 2 (pow x.re 2)) (pow x.re 2)))))>
#<alt (* -1 (pow x.im 3))>
#<alt (* (pow x.im 3) (- (* -1 (/ (+ (* -2 x.re) (* 2 x.re)) x.im)) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))>
#<alt (* (pow x.im 3) (- (+ (* -1 (/ (+ (* -4 (pow x.re 2)) (* 2 (pow x.re 2))) (pow x.im 2))) (* -1 (/ (+ (* -2 x.re) (* 2 x.re)) x.im))) (+ 1 (+ (* -1 (/ x.re x.im)) (+ (* -1 (/ (* (+ x.re (* -1 x.re)) (- (* -1 (+ (* -2 x.re) (* 2 x.re))) (+ x.re (* -1 x.re)))) (pow x.im 2))) (+ (* -1 (/ (- (* 2 (pow x.re 2)) (pow x.re 2)) (pow x.im 2))) (/ x.re x.im)))))))>
#<alt (* (pow x.im 3) (- (+ (* -1 (/ (+ (* -4 (pow x.re 2)) (* 2 (pow x.re 2))) (pow x.im 2))) (+ (* -1 (/ (+ (* -2 x.re) (* 2 x.re)) x.im)) (* -1 (/ (+ (* -2 (pow x.re 3)) (* 2 (pow x.re 3))) (pow x.im 3))))) (+ 1 (+ (* -1 (/ x.re x.im)) (+ (* -1 (/ (* (+ x.re (* -1 x.re)) (- (* -1 (+ (* -4 (pow x.re 2)) (* 2 (pow x.re 2)))) (+ (* -1 (* (+ x.re (* -1 x.re)) (- (* -1 (+ (* -2 x.re) (* 2 x.re))) (+ x.re (* -1 x.re))))) (* -1 (- (* 2 (pow x.re 2)) (pow x.re 2)))))) (pow x.im 3))) (+ (* -1 (/ (* (+ x.re (* -1 x.re)) (- (* -1 (+ (* -2 x.re) (* 2 x.re))) (+ x.re (* -1 x.re)))) (pow x.im 2))) (+ (* -1 (/ (- (* 2 (pow x.re 2)) (pow x.re 2)) (pow x.im 2))) (+ (/ x.re x.im) (/ (* (- (* -1 (+ (* -2 x.re) (* 2 x.re))) (+ x.re (* -1 x.re))) (- (* 2 (pow x.re 2)) (pow x.re 2))) (pow x.im 3))))))))))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (- (+ (* -2 x.re) (* 2 x.re)) (* -1 (+ x.re (* -1 x.re)))) x.im)))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (- (+ (* -2 x.re) (+ (* -1 (/ (- (+ (* -4 (pow x.re 2)) (* 2 (pow x.re 2))) (+ (* -1 (* (+ x.re (* -1 x.re)) (- (+ (* -2 x.re) (* 2 x.re)) (* -1 (+ x.re (* -1 x.re)))))) (* -1 (- (* -2 (pow x.re 2)) (* -1 (pow x.re 2)))))) x.im)) (* 2 x.re))) (* -1 (+ x.re (* -1 x.re)))) x.im)))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (- (+ (* -2 x.re) (+ (* -1 (/ (- (+ (* -4 (pow x.re 2)) (+ (* -1 (/ (- (+ (* -2 (pow x.re 3)) (* 2 (pow x.re 3))) (+ (* -1 (* (+ x.re (* -1 x.re)) (- (+ (* -4 (pow x.re 2)) (* 2 (pow x.re 2))) (+ (* -1 (* (+ x.re (* -1 x.re)) (- (+ (* -2 x.re) (* 2 x.re)) (* -1 (+ x.re (* -1 x.re)))))) (* -1 (- (* -2 (pow x.re 2)) (* -1 (pow x.re 2)))))))) (* -1 (* (- (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) (- (+ (* -2 x.re) (* 2 x.re)) (* -1 (+ x.re (* -1 x.re)))))))) x.im)) (* 2 (pow x.re 2)))) (+ (* -1 (* (+ x.re (* -1 x.re)) (- (+ (* -2 x.re) (* 2 x.re)) (* -1 (+ x.re (* -1 x.re)))))) (* -1 (- (* -2 (pow x.re 2)) (* -1 (pow x.re 2)))))) x.im)) (* 2 x.re))) (* -1 (+ x.re (* -1 x.re)))) x.im)))))>
#<alt (* -1 (pow x.im 6))>
#<alt (- (* -1 (* (pow x.im 2) (* x.re (+ (* -2 (pow x.im 3)) (* 2 (pow x.im 3)))))) (pow x.im 6))>
#<alt (- (* x.re (- (* -1 (* (pow x.im 2) (* x.re (+ (* -4 (pow x.im 2)) (* 2 (pow x.im 2)))))) (* (pow x.im 2) (+ (* -2 (pow x.im 3)) (* 2 (pow x.im 3)))))) (pow x.im 6))>
#<alt (- (* x.re (- (* x.re (- (* -1 (* (pow x.im 2) (* x.re (+ (* -2 x.im) (* 2 x.im))))) (* (pow x.im 2) (+ (* -4 (pow x.im 2)) (* 2 (pow x.im 2)))))) (* (pow x.im 2) (+ (* -2 (pow x.im 3)) (* 2 (pow x.im 3)))))) (pow x.im 6))>
#<alt (* (pow x.re 4) (- (* 4 (pow x.im 2)) (pow x.im 2)))>
#<alt (* (pow x.re 4) (- (+ (* -1 (/ (* (pow x.im 2) (+ (* -2 x.im) (* 2 x.im))) x.re)) (* 4 (pow x.im 2))) (pow x.im 2)))>
#<alt (* (pow x.re 4) (- (+ (* -1 (/ (* (pow x.im 2) (+ (* -4 (pow x.im 2)) (* 2 (pow x.im 2)))) (pow x.re 2))) (* 4 (pow x.im 2))) (+ (/ (* (pow x.im 2) (+ (* -2 x.im) (* 2 x.im))) x.re) (pow x.im 2))))>
#<alt (* (pow x.re 4) (- (+ (* -1 (/ (* (pow x.im 2) (+ (* -2 (pow x.im 3)) (* 2 (pow x.im 3)))) (pow x.re 3))) (* 4 (pow x.im 2))) (+ (/ (* (pow x.im 2) (+ (* -4 (pow x.im 2)) (* 2 (pow x.im 2)))) (pow x.re 2)) (+ (/ (* (pow x.im 2) (+ (* -2 x.im) (* 2 x.im))) x.re) (pow x.im 2)))))>
#<alt (* (pow x.re 4) (- (* 4 (pow x.im 2)) (pow x.im 2)))>
#<alt (* (pow x.re 4) (- (+ (* 4 (pow x.im 2)) (/ (* (pow x.im 2) (+ (* -2 x.im) (* 2 x.im))) x.re)) (pow x.im 2)))>
#<alt (* (pow x.re 4) (- (+ (* -1 (/ (- (/ (* (pow x.im 2) (+ (* -4 (pow x.im 2)) (* 2 (pow x.im 2)))) x.re) (* (pow x.im 2) (+ (* -2 x.im) (* 2 x.im)))) x.re)) (* 4 (pow x.im 2))) (pow x.im 2)))>
#<alt (* (pow x.re 4) (- (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x.im 2) (+ (* -2 (pow x.im 3)) (* 2 (pow x.im 3)))) x.re) (* (pow x.im 2) (+ (* -4 (pow x.im 2)) (* 2 (pow x.im 2))))) x.re)) (* (pow x.im 2) (+ (* -2 x.im) (* 2 x.im)))) x.re)) (* 4 (pow x.im 2))) (pow x.im 2)))>
#<alt (* (pow x.im 2) (- (* 4 (pow x.re 4)) (pow x.re 4)))>
#<alt (* (pow x.im 2) (- (+ (* -1 (* x.im (+ (* -2 (pow x.re 3)) (* 2 (pow x.re 3))))) (* 4 (pow x.re 4))) (pow x.re 4)))>
#<alt (* (pow x.im 2) (- (+ (* 4 (pow x.re 4)) (* x.im (- (* -1 (* x.im (+ (* -4 (pow x.re 2)) (* 2 (pow x.re 2))))) (+ (* -2 (pow x.re 3)) (* 2 (pow x.re 3)))))) (pow x.re 4)))>
#<alt (* (pow x.im 2) (- (+ (* 4 (pow x.re 4)) (* x.im (- (* x.im (- (* -1 (* x.im (+ (* -2 x.re) (* 2 x.re)))) (+ (* -4 (pow x.re 2)) (* 2 (pow x.re 2))))) (+ (* -2 (pow x.re 3)) (* 2 (pow x.re 3)))))) (pow x.re 4)))>
#<alt (* -1 (pow x.im 6))>
#<alt (* (pow x.im 6) (- (* -1 (/ (+ (* -2 x.re) (* 2 x.re)) x.im)) 1))>
#<alt (* (pow x.im 6) (- (* -1 (/ (+ (* -4 (pow x.re 2)) (* 2 (pow x.re 2))) (pow x.im 2))) (+ 1 (+ (* -2 (/ x.re x.im)) (* 2 (/ x.re x.im))))))>
#<alt (* (pow x.im 6) (- (* -1 (/ (+ (* -2 (pow x.re 3)) (* 2 (pow x.re 3))) (pow x.im 3))) (+ 1 (+ (* -4 (/ (pow x.re 2) (pow x.im 2))) (+ (* -2 (/ x.re x.im)) (+ (* 2 (/ x.re x.im)) (* 2 (/ (pow x.re 2) (pow x.im 2)))))))))>
#<alt (* -1 (pow x.im 6))>
#<alt (* (pow x.im 6) (- (+ (* -2 (/ x.re x.im)) (* 2 (/ x.re x.im))) 1))>
#<alt (* (pow x.im 6) (- (* -1 (/ (- (+ (* -4 (/ (pow x.re 2) x.im)) (* 2 (/ (pow x.re 2) x.im))) (+ (* -2 x.re) (* 2 x.re))) x.im)) 1))>
#<alt (* (pow x.im 6) (- (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (pow x.re 3) x.im)) (* 2 (/ (pow x.re 3) x.im))) (+ (* -4 (pow x.re 2)) (* 2 (pow x.re 2)))) x.im)) (+ (* -2 x.re) (* 2 x.re))) x.im)) 1))>
#<alt (pow x.im 3)>
#<alt (- (* -1 (* x.im (* x.re (+ x.im (* -1 x.im))))) (* -1 (pow x.im 3)))>
#<alt (- (* x.re (- (* x.re (- (* 2 x.im) x.im)) (* x.im (+ x.im (* -1 x.im))))) (* -1 (pow x.im 3)))>
#<alt (- (* x.re (- (* x.re (- (* 2 x.im) x.im)) (* x.im (+ x.im (* -1 x.im))))) (* -1 (pow x.im 3)))>
#<alt (* (pow x.re 2) (- (* 2 x.im) x.im))>
#<alt (* (pow x.re 2) (- (+ (* -1 (/ (* x.im (+ x.im (* -1 x.im))) x.re)) (* 2 x.im)) x.im))>
#<alt (* (pow x.re 2) (- (+ (* 2 x.im) (/ (pow x.im 3) (pow x.re 2))) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re))))>
#<alt (* (pow x.re 2) (- (+ (* 2 x.im) (/ (pow x.im 3) (pow x.re 2))) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re))))>
#<alt (* (pow x.re 2) (- (* 2 x.im) x.im))>
#<alt (* (pow x.re 2) (- (+ (* -1 (/ (* x.im (+ x.im (* -1 x.im))) x.re)) (* 2 x.im)) x.im))>
#<alt (* (pow x.re 2) (- (+ (* -1 (/ (- (* -1 (/ (pow x.im 3) x.re)) (* -1 (* x.im (+ x.im (* -1 x.im))))) x.re)) (* 2 x.im)) x.im))>
#<alt (* (pow x.re 2) (- (+ (* -1 (/ (- (* -1 (/ (pow x.im 3) x.re)) (* -1 (* x.im (+ x.im (* -1 x.im))))) x.re)) (* 2 x.im)) x.im))>
#<alt (* x.im (- (* 2 (pow x.re 2)) (pow x.re 2)))>
#<alt (* x.im (- (+ (* -1 (* x.im (+ x.re (* -1 x.re)))) (* 2 (pow x.re 2))) (pow x.re 2)))>
#<alt (* x.im (- (+ (* 2 (pow x.re 2)) (* x.im (- x.im (+ x.re (* -1 x.re))))) (pow x.re 2)))>
#<alt (* x.im (- (+ (* 2 (pow x.re 2)) (* x.im (- x.im (+ x.re (* -1 x.re))))) (pow x.re 2)))>
#<alt (pow x.im 3)>
#<alt (* (pow x.im 3) (+ 1 (* -1 (/ (+ x.re (* -1 x.re)) x.im))))>
#<alt (* (pow x.im 3) (- (+ 1 (* 2 (/ (pow x.re 2) (pow x.im 2)))) (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))))>
#<alt (* (pow x.im 3) (- (+ 1 (* 2 (/ (pow x.re 2) (pow x.im 2)))) (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))))>
#<alt (pow x.im 3)>
#<alt (* -1 (* (pow x.im 3) (- (* -1 (/ (+ x.re (* -1 x.re)) x.im)) 1)))>
#<alt (* -1 (* (pow x.im 3) (- (* -1 (/ (- (* -1 (/ (- (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im)) (* -1 (+ x.re (* -1 x.re)))) x.im)) 1)))>
#<alt (* -1 (* (pow x.im 3) (- (* -1 (/ (- (* -1 (/ (- (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im)) (* -1 (+ x.re (* -1 x.re)))) x.im)) 1)))>
#<alt (* 4 (* (pow x.im 2) (pow x.re 2)))>
#<alt (* 4 (* (pow x.im 2) (pow x.re 2)))>
#<alt (* 4 (* (pow x.im 2) (pow x.re 2)))>
#<alt (* 4 (* (pow x.im 2) (pow x.re 2)))>
#<alt (* 4 (* (pow x.im 2) (pow x.re 2)))>
#<alt (* 4 (* (pow x.im 2) (pow x.re 2)))>
#<alt (* 4 (* (pow x.im 2) (pow x.re 2)))>
#<alt (* 4 (* (pow x.im 2) (pow x.re 2)))>
#<alt (* 4 (* (pow x.im 2) (pow x.re 2)))>
#<alt (* 4 (* (pow x.im 2) (pow x.re 2)))>
#<alt (* 4 (* (pow x.im 2) (pow x.re 2)))>
#<alt (* 4 (* (pow x.im 2) (pow x.re 2)))>
#<alt (* 4 (* (pow x.im 2) (pow x.re 2)))>
#<alt (* 4 (* (pow x.im 2) (pow x.re 2)))>
#<alt (* 4 (* (pow x.im 2) (pow x.re 2)))>
#<alt (* 4 (* (pow x.im 2) (pow x.re 2)))>
#<alt (* 4 (* (pow x.im 2) (pow x.re 2)))>
#<alt (* 4 (* (pow x.im 2) (pow x.re 2)))>
#<alt (* 4 (* (pow x.im 2) (pow x.re 2)))>
#<alt (* 4 (* (pow x.im 2) (pow x.re 2)))>
#<alt (* 4 (* (pow x.im 2) (pow x.re 2)))>
#<alt (* 4 (* (pow x.im 2) (pow x.re 2)))>
#<alt (* 4 (* (pow x.im 2) (pow x.re 2)))>
#<alt (* 4 (* (pow x.im 2) (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im x.re))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 2 (* x.im (pow x.re 2)))>
#<alt (* 4 (* (pow x.im 2) (pow x.re 4)))>
#<alt (* 4 (* (pow x.im 2) (pow x.re 4)))>
#<alt (* 4 (* (pow x.im 2) (pow x.re 4)))>
#<alt (* 4 (* (pow x.im 2) (pow x.re 4)))>
#<alt (* 4 (* (pow x.im 2) (pow x.re 4)))>
#<alt (* 4 (* (pow x.im 2) (pow x.re 4)))>
#<alt (* 4 (* (pow x.im 2) (pow x.re 4)))>
#<alt (* 4 (* (pow x.im 2) (pow x.re 4)))>
#<alt (* 4 (* (pow x.im 2) (pow x.re 4)))>
#<alt (* 4 (* (pow x.im 2) (pow x.re 4)))>
#<alt (* 4 (* (pow x.im 2) (pow x.re 4)))>
#<alt (* 4 (* (pow x.im 2) (pow x.re 4)))>
#<alt (* 4 (* (pow x.im 2) (pow x.re 4)))>
#<alt (* 4 (* (pow x.im 2) (pow x.re 4)))>
#<alt (* 4 (* (pow x.im 2) (pow x.re 4)))>
#<alt (* 4 (* (pow x.im 2) (pow x.re 4)))>
#<alt (* 4 (* (pow x.im 2) (pow x.re 4)))>
#<alt (* 4 (* (pow x.im 2) (pow x.re 4)))>
#<alt (* 4 (* (pow x.im 2) (pow x.re 4)))>
#<alt (* 4 (* (pow x.im 2) (pow x.re 4)))>
#<alt (* 4 (* (pow x.im 2) (pow x.re 4)))>
#<alt (* 4 (* (pow x.im 2) (pow x.re 4)))>
#<alt (* 4 (* (pow x.im 2) (pow x.re 4)))>
#<alt (* 4 (* (pow x.im 2) (pow x.re 4)))>

Calls

120 calls:

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

rewrite697.0ms (5.1%)

Memory

23.8MiB live, 1 444.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

23 906×	`lower-fma.f32`
23 900×	`lower-fma.f64`
4 114×	`lower-/.f32`
4 110×	`lower-/.f64`
3 530×	`lower-*.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	294
0	71	212
1	289	145
2	2563	145
0	8447	145

Stop Event

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

Counts

22 → 2 579

Calls

Call 1

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

Outputs
(+.f64 (+.f64 x.im x.im) (.f64 x.im (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))
(+.f64 (.f64 x.im (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) (+.f64 x.im x.im))
(+.f64 (/.f64 (+.f64 x.im x.im) (fma.f64 (neg.f64 x.im) (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (+.f64 x.im x.im))) (neg.f64 (.f64 (.f64 x.im (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) (/.f64 (.f64 x.im (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) (fma.f64 (neg.f64 x.im) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (+.f64 x.im x.im))))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x.re x.im) (.f64 x.im (+.f64 x.re x.im)) (+.f64 x.im x.im)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (+.f64 x.im x.im) (fma.f64 (neg.f64 x.im) (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (+.f64 x.im x.im))) (.f64 (.f64 x.im (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) (/.f64 (.f64 x.im (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) (fma.f64 (neg.f64 x.im) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (+.f64 x.im x.im)))))
(-.f64 (/.f64 (.f64 x.im (.f64 (.f64 x.im (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))) (-.f64 (.f64 x.im (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) (+.f64 x.im x.im))) (/.f64 (+.f64 x.im x.im) (-.f64 (.f64 x.im (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) (+.f64 x.im x.im))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (neg.f64 x.im) (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (+.f64 x.im x.im)))) (/.f64 (fma.f64 (neg.f64 x.im) (.f64 (.f64 x.im (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) (+.f64 x.im x.im)) (neg.f64 (fma.f64 (neg.f64 x.im) (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (+.f64 x.im x.im)))))
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(fma.f64 (.f64 x.im (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) (neg.f64 (.f64 x.im (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))) (+.f64 x.im x.im))
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(fma.f64 (.f64 x.re (.f64 x.re x.re)) (+.f64 x.im x.im) (neg.f64 (.f64 x.im (.f64 (.f64 x.im (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))))
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(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) (neg.f64 (.f64 x.im (.f64 (.f64 x.im (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))))
(fma.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) #s(literal 3 binary64)) (neg.f64 (.f64 x.im (.f64 (.f64 x.im (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))))
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(fma.f64 (.f64 (neg.f64 x.im) (.f64 (+.f64 x.re x.im) (.f64 x.im (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))) (-.f64 x.re x.im) (+.f64 x.im x.im))
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(fma.f64 (.f64 (+.f64 x.im x.im) #s(literal 2 binary64)) x.im (neg.f64 (.f64 x.im (.f64 (.f64 x.im (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))))
(fma.f64 (.f64 x.re #s(literal 2 binary64)) x.im (neg.f64 (.f64 x.im (.f64 (.f64 x.im (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))))
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(fma.f64 #s(literal 8 binary64) (.f64 (.f64 x.re x.im) (.f64 x.re (.f64 x.re (.f64 x.im x.im)))) (neg.f64 (.f64 x.im (.f64 (.f64 x.im (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))))))
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(+.f64 x.im x.im)
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(+.f64 (.f64 (+.f64 x.im x.im) x.im) (.f64 (+.f64 x.im x.im) x.im))
(+.f64 (.f64 (.f64 x.re x.im) (+.f64 x.im x.im)) (.f64 (.f64 x.re x.im) (+.f64 x.im x.im)))
(+.f64 (.f64 (.f64 x.re x.im) x.re) (.f64 (.f64 x.re x.im) x.re))
(+.f64 (.f64 x.im (.f64 x.re x.re)) (.f64 x.im (.f64 x.re x.re)))
(+.f64 (.f64 (.f64 x.re x.im) (.f64 x.re x.re)) (.f64 (.f64 x.re x.im) (.f64 x.re x.re)))
(+.f64 (.f64 x.im (+.f64 x.im x.im)) (.f64 x.im (+.f64 x.im x.im)))
(exp.f64 (log.f64 (+.f64 x.im x.im)))
(exp.f64 (*.f64 (log.f64 (+.f64 x.im x.im)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (+.f64 x.im x.im)) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (+.f64 x.im x.im)) (*.f64 (log.f64 x.re) #s(literal 3 binary64))))
(exp.f64 (+.f64 (log.f64 (+.f64 x.im x.im)) (.f64 (.f64 #s(literal 2 binary64) (log.f64 x.re)) #s(literal 3 binary64))))
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(.f64 (+.f64 x.im x.im) (.f64 x.re x.re))
(.f64 (+.f64 x.im x.im) (.f64 x.re (*.f64 x.re x.re)))
(.f64 (+.f64 x.im x.im) (.f64 (.f64 x.re x.re) (.f64 x.re (.f64 x.re (.f64 x.re x.re)))))
(.f64 (+.f64 x.im x.im) (.f64 x.re (.f64 x.re (.f64 x.re x.re))))
(.f64 (+.f64 x.im x.im) (.f64 (.f64 (.f64 x.re x.re) (.f64 x.re (.f64 x.re (.f64 x.re x.re)))) (.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 x.re (.f64 x.re (.f64 x.re x.re)))))))
(.f64 (+.f64 x.im x.im) (.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 x.re (.f64 x.re (.f64 x.re x.re))))))
(.f64 (+.f64 x.im x.im) (.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 x.re (.f64 x.re (.f64 x.re x.re)))))
(.f64 (+.f64 x.im x.im) (.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 (.f64 x.re x.re) (.f64 x.re (.f64 x.re (*.f64 x.re x.re))))))
(*.f64 (+.f64 x.im x.im) (pow.f64 x.re #s(literal 3/2 binary64)))
(.f64 (+.f64 x.im x.im) (pow.f64 (.f64 x.re (*.f64 x.re x.re)) #s(literal 3/2 binary64)))
(.f64 (+.f64 x.im x.im) (pow.f64 (.f64 (.f64 x.re x.re) (.f64 x.re (.f64 x.re (.f64 x.re x.re)))) #s(literal 3/2 binary64)))
(.f64 (+.f64 x.im x.im) (pow.f64 (.f64 x.re (*.f64 x.re x.re)) #s(literal 1 binary64)))
(.f64 (+.f64 x.im x.im) (pow.f64 (.f64 (.f64 x.re x.re) (.f64 x.re (.f64 x.re (.f64 x.re x.re)))) #s(literal 1 binary64)))
(.f64 (+.f64 x.im x.im) (pow.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) #s(literal 1 binary64)))
(.f64 (.f64 x.im x.im) #s(literal 4 binary64))
(.f64 (.f64 x.im x.im) (pow.f64 (+.f64 x.re x.re) #s(literal 2 binary64)))
(.f64 (.f64 x.re x.re) (+.f64 x.im x.im))
(*.f64 #s(literal 2 binary64) x.im)
(.f64 #s(literal 2 binary64) (.f64 x.re x.im))
(.f64 #s(literal 2 binary64) (.f64 x.im (+.f64 x.im x.im)))
(.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.re x.im) #s(literal 1 binary64)))
(.f64 #s(literal 2 binary64) (pow.f64 (.f64 x.im (+.f64 x.im x.im)) #s(literal 1 binary64)))
(.f64 (.f64 x.im (*.f64 x.im x.im)) #s(literal 8 binary64))
(.f64 (.f64 x.im (*.f64 x.im x.im)) (pow.f64 (+.f64 x.re x.re) #s(literal 3 binary64)))
(.f64 (.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (+.f64 x.im x.im)) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im #s(literal 0 binary64))))
(.f64 (.f64 x.re (*.f64 x.re x.re)) (+.f64 x.im x.im))
(.f64 (.f64 (fma.f64 x.re (.f64 x.re (.f64 x.im x.im)) #s(literal 0 binary64)) (+.f64 x.im x.im)) (/.f64 #s(literal 1 binary64) (fma.f64 x.re (.f64 x.re (.f64 x.im x.im)) #s(literal 0 binary64))))
(.f64 (.f64 (.f64 x.re x.re) (.f64 x.re (.f64 x.re (.f64 x.re x.re)))) (+.f64 x.im x.im))
(.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (+.f64 x.im x.im))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(*.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) #s(literal 3 binary64)))
(*.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)))
(*.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)))
(.f64 #s(literal 4 binary64) (.f64 x.im x.im))
(.f64 #s(literal 4 binary64) (.f64 x.re (.f64 x.re (.f64 x.im x.im))))
(.f64 #s(literal 4 binary64) (pow.f64 (.f64 x.im (+.f64 x.im x.im)) #s(literal 2 binary64)))
(.f64 (.f64 (.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (+.f64 x.im x.im)) (.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (+.f64 x.im x.im))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal 2 binary64)))
(.f64 (.f64 (.f64 (fma.f64 x.re (.f64 x.re (.f64 x.im x.im)) #s(literal 0 binary64)) (+.f64 x.im x.im)) (.f64 (fma.f64 x.re (.f64 x.re (.f64 x.im x.im)) #s(literal 0 binary64)) (+.f64 x.im x.im))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x.re (.f64 x.re (.f64 x.im x.im)) #s(literal 0 binary64))) #s(literal 2 binary64)))
(.f64 (.f64 (.f64 (.f64 x.re x.re) (.f64 x.re (.f64 x.re (.f64 x.re x.re)))) (.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 x.re (.f64 x.re (.f64 x.re x.re)))))) (+.f64 x.im x.im))
(.f64 (.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 x.re (.f64 x.re (.f64 x.re x.re))))) (+.f64 x.im x.im))
(.f64 (.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) (.f64 x.re (.f64 x.re (.f64 x.re x.re)))) (+.f64 x.im x.im))
(.f64 (.f64 (.f64 x.re (.f64 x.re x.re)) (.f64 (.f64 x.re x.re) (.f64 x.re (.f64 x.re (*.f64 x.re x.re))))) (+.f64 x.im x.im))
(*.f64 (pow.f64 x.im #s(literal 3/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x.im #s(literal 3/2 binary64)) (pow.f64 (+.f64 x.re x.re) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x.re #s(literal 3/2 binary64)) (+.f64 x.im x.im))
(.f64 (.f64 (*.f64 x.re x.re) #s(literal 2 binary64)) x.im)
(.f64 (.f64 (+.f64 x.im x.im) #s(literal 2 binary64)) x.im)
(.f64 (.f64 x.re #s(literal 2 binary64)) x.im)
(.f64 #s(literal 8 binary64) (.f64 x.im (*.f64 x.im x.im)))
(.f64 #s(literal 8 binary64) (.f64 (.f64 x.re x.im) (.f64 x.re (.f64 x.re (.f64 x.im x.im)))))
(.f64 #s(literal 8 binary64) (pow.f64 (.f64 x.im (+.f64 x.im x.im)) #s(literal 3 binary64)))
(.f64 (pow.f64 (.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (+.f64 x.im x.im)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal 3 binary64)))
(.f64 (pow.f64 (.f64 (fma.f64 x.re (.f64 x.re (.f64 x.im x.im)) #s(literal 0 binary64)) (+.f64 x.im x.im)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x.re (.f64 x.re (.f64 x.im x.im)) #s(literal 0 binary64))) #s(literal 3 binary64)))
(.f64 #s(literal 64 binary64) (.f64 (.f64 x.im x.im) (.f64 x.im (.f64 x.im (.f64 x.im x.im)))))
(.f64 (pow.f64 (.f64 (.f64 x.re x.re) #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 x.im (*.f64 x.im x.im)))
(.f64 (pow.f64 (.f64 (+.f64 x.im x.im) #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 x.im (.f64 x.im x.im)))
(.f64 (pow.f64 (.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 x.im (.f64 x.im x.im)))
(.f64 #s(literal 16 binary64) (.f64 x.im (.f64 x.im (.f64 x.im x.im))))
(.f64 (pow.f64 (.f64 (.f64 x.re x.re) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 x.im x.im))
(.f64 (pow.f64 (.f64 (+.f64 x.im x.im) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x.im x.im))
(.f64 (pow.f64 (.f64 x.re #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 x.im x.im))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 (.f64 x.re x.im) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 x.im #s(literal 3/2 binary64)))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 (.f64 x.im (+.f64 x.im x.im)) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (.f64 x.re (*.f64 x.re x.re)) #s(literal 3/2 binary64)) (+.f64 x.im x.im))
(.f64 (pow.f64 (.f64 (.f64 x.re x.re) (.f64 x.re (.f64 x.re (.f64 x.re x.re)))) #s(literal 3/2 binary64)) (+.f64 x.im x.im))
(.f64 (pow.f64 (.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (+.f64 x.im x.im)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (.f64 (fma.f64 x.re (.f64 x.re (.f64 x.im x.im)) #s(literal 0 binary64)) (+.f64 x.im x.im)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x.re (.f64 x.re (.f64 x.im x.im)) #s(literal 0 binary64))) #s(literal 3/2 binary64)))
(.f64 (pow.f64 #s(literal 4 binary64) #s(literal 3/2 binary64)) (.f64 x.im (*.f64 x.im x.im)))
(.f64 (pow.f64 (.f64 (*.f64 x.re x.re) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 x.im #s(literal 3/2 binary64)))
(.f64 (pow.f64 (.f64 (+.f64 x.im x.im) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 x.im #s(literal 3/2 binary64)))
(.f64 (pow.f64 (.f64 x.re #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 x.im #s(literal 3/2 binary64)))
(.f64 (pow.f64 (.f64 x.re (*.f64 x.re x.re)) #s(literal 1 binary64)) (+.f64 x.im x.im))
(.f64 (pow.f64 (.f64 (.f64 x.re x.re) (.f64 x.re (.f64 x.re (.f64 x.re x.re)))) #s(literal 1 binary64)) (+.f64 x.im x.im))
(.f64 (pow.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) #s(literal 1 binary64)) (+.f64 x.im x.im))
(.f64 (pow.f64 (.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (+.f64 x.im x.im)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im #s(literal 0 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (fma.f64 x.re (.f64 x.re (.f64 x.im x.im)) #s(literal 0 binary64)) (+.f64 x.im x.im)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x.re (.f64 x.re (.f64 x.im x.im)) #s(literal 0 binary64))) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 x.re x.re) #s(literal 2 binary64)) #s(literal 1 binary64)) x.im)
(.f64 (pow.f64 (.f64 (+.f64 x.im x.im) #s(literal 2 binary64)) #s(literal 1 binary64)) x.im)
(.f64 (pow.f64 (.f64 x.re #s(literal 2 binary64)) #s(literal 1 binary64)) x.im)

simplify383.0ms (2.8%)

Memory

-6.5MiB live, 549.9MiB allocated

Algorithm

1×	egg-herbie

Rules

9 572×	`lower-fma.f64`
9 572×	`lower-fma.f32`
4 434×	`lower-+.f64`
4 434×	`lower-+.f32`
3 758×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	748	6947
1	2629	5041
0	9477	4937

Stop Event

1×	iter limit
1×	node limit

Counts

480 → 471

Calls

Call 1

Inputs
(* -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))))))
(* (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)))))
(* (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 (+ (* 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))))
(* -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))
(* -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)))))
x.im
(+ x.im x.re)
(+ x.im x.re)
(+ 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)))
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)))
x.re
(+ x.im x.re)
(+ x.im x.re)
(+ x.im x.re)
x.im
(* x.im (+ 1 (/ x.re x.im)))
(* x.im (+ 1 (/ x.re x.im)))
(* x.im (+ 1 (/ x.re 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 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))
(* 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))))
(* 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))))
(* 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 (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 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)
(- x.re x.im)
(- x.re x.im)
(- x.re x.im)
x.re
(* x.re (+ 1 (* -1 (/ x.im x.re))))
(* x.re (+ 1 (* -1 (/ x.im x.re))))
(* x.re (+ 1 (* -1 (/ x.im x.re))))
x.re
(* -1 (* x.re (- (/ x.im x.re) 1)))
(* -1 (* x.re (- (/ x.im x.re) 1)))
(* -1 (* x.re (- (/ x.im x.re) 1)))
x.re
(+ x.re (* -1 x.im))
(+ x.re (* -1 x.im))
(+ x.re (* -1 x.im))
(* -1 x.im)
(* x.im (- (/ x.re x.im) 1))
(* x.im (- (/ x.re x.im) 1))
(* x.im (- (/ x.re x.im) 1))
(* -1 x.im)
(* -1 (* x.im (+ 1 (* -1 (/ x.re x.im)))))
(* -1 (* x.im (+ 1 (* -1 (/ x.re x.im)))))
(* -1 (* x.im (+ 1 (* -1 (/ x.re x.im)))))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* 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 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))
(* -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)) (* 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))))
(* 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 (* 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))
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(* -1 (pow x.im 2))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* -1 (pow x.im 2))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* -1 (pow x.im 2))
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(* 3 (pow x.re 2))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* 3 (pow x.re 2))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* 3 (pow x.re 2))
(* -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 (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.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.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)))
(* -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))
(* -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)) (* 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))))))
(* (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)))))
(* (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 (+ (* 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))))
(* -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))
(* -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))
(* 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))
(* 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))
(* 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))
(* 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 5))
(+ (* -1 (pow x.im 5)) (* x.im (* x.re (+ (* -1 (pow x.im 3)) (pow x.im 3)))))
(+ (* -1 (pow x.im 5)) (* x.re (+ (* x.im (* x.re (+ (* -1 (pow x.im 2)) (pow x.im 2)))) (* x.im (+ (* -1 (pow x.im 3)) (pow x.im 3))))))
(+ (* -1 (pow x.im 5)) (* x.re (+ (* x.im (+ (* -1 (pow x.im 3)) (pow x.im 3))) (* x.re (+ (* x.im (* x.re (+ x.im (* -1 x.im)))) (* x.im (+ (* -1 (pow x.im 2)) (pow x.im 2))))))))
(* x.im (pow x.re 4))
(* (pow x.re 4) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))
(* (pow x.re 4) (+ x.im (+ (/ (* x.im (+ x.im (* -1 x.im))) x.re) (/ (* x.im (+ (* -1 (pow x.im 2)) (pow x.im 2))) (pow x.re 2)))))
(* (pow x.re 4) (+ x.im (+ (/ (* x.im (+ x.im (* -1 x.im))) x.re) (+ (/ (* x.im (+ (* -1 (pow x.im 2)) (pow x.im 2))) (pow x.re 2)) (/ (* x.im (+ (* -1 (pow x.im 3)) (pow x.im 3))) (pow x.re 3))))))
(* x.im (pow x.re 4))
(* (pow x.re 4) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))
(* (pow x.re 4) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (* x.im (+ (* -1 (pow x.im 2)) (pow x.im 2))) x.re)) x.re))))
(* (pow x.re 4) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (* -1 (/ (+ (* -1 (* x.im (+ (* -1 (pow x.im 2)) (pow x.im 2)))) (/ (* x.im (+ (* -1 (pow x.im 3)) (pow x.im 3))) x.re)) x.re))) x.re))))
(* x.im (pow x.re 4))
(* x.im (+ (* x.im (+ (* -1 (pow x.re 3)) (pow x.re 3))) (pow x.re 4)))
(* x.im (+ (* x.im (+ (* -1 (pow x.re 3)) (+ (* x.im (+ (* -1 (pow x.re 2)) (pow x.re 2))) (pow x.re 3)))) (pow x.re 4)))
(* x.im (+ (* x.im (+ (* -1 (pow x.re 3)) (+ (* x.im (+ (* -1 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))) (pow x.re 3)))) (pow x.re 4)))
(* -1 (pow x.im 5))
(* (pow x.im 5) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))
(* (pow x.im 5) (- (+ (* -1 (/ x.re x.im)) (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(* (pow x.im 5) (- (+ (* -1 (/ x.re x.im)) (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (pow x.re 3) (pow x.im 3))) (+ (/ x.re x.im) (+ (/ (pow x.re 2) (pow x.im 2)) (/ (pow x.re 3) (pow x.im 3))))))) 1))
(* -1 (pow x.im 5))
(* -1 (* (pow x.im 5) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))
(* -1 (* (pow x.im 5) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (+ (* -1 (/ (pow x.re 2) x.im)) (/ (pow x.re 2) x.im))) x.im)))))
(* -1 (* (pow x.im 5) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -1 (+ (* -1 (pow x.re 2)) (pow x.re 2))) (+ (* -1 (/ (pow x.re 3) x.im)) (/ (pow x.re 3) x.im))) x.im))) x.im)))))
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* x.re (- (* -1 (/ (+ (* -2 (pow x.im 3)) (* 2 (pow x.im 3))) x.im)) (* x.im (+ x.im (* -1 x.im))))))
(+ (* -1 (pow x.im 3)) (* x.re (- (+ (* -1 (/ (+ (* -2 (pow x.im 3)) (* 2 (pow x.im 3))) x.im)) (* x.re (- (* -1 (/ (+ (* -4 (pow x.im 2)) (* 2 (pow x.im 2))) x.im)) (+ (* -1 (- (* 2 x.im) x.im)) (* -1 (/ (* (+ x.im (* -1 x.im)) (- (* -1 (/ (+ (* -2 (pow x.im 3)) (* 2 (pow x.im 3))) x.im)) (* x.im (+ x.im (* -1 x.im))))) (pow x.im 2))))))) (* x.im (+ x.im (* -1 x.im))))))
(+ (* -1 (pow x.im 3)) (* x.re (- (+ (* -1 (/ (+ (* -2 (pow x.im 3)) (* 2 (pow x.im 3))) x.im)) (* x.re (- (+ (* -1 (/ (+ (* -4 (pow x.im 2)) (* 2 (pow x.im 2))) x.im)) (* x.re (- (* -1 (/ (+ (* -2 x.im) (* 2 x.im)) x.im)) (+ (* -1 (/ (* (+ x.im (* -1 x.im)) (- (* -1 (/ (+ (* -4 (pow x.im 2)) (* 2 (pow x.im 2))) x.im)) (+ (* -1 (- (* 2 x.im) x.im)) (* -1 (/ (* (+ x.im (* -1 x.im)) (- (* -1 (/ (+ (* -2 (pow x.im 3)) (* 2 (pow x.im 3))) x.im)) (* x.im (+ x.im (* -1 x.im))))) (pow x.im 2)))))) (pow x.im 2))) (/ (* (- (* -1 (/ (+ (* -2 (pow x.im 3)) (* 2 (pow x.im 3))) x.im)) (* x.im (+ x.im (* -1 x.im)))) (- (* 2 x.im) x.im)) (pow x.im 3)))))) (+ (* -1 (- (* 2 x.im) x.im)) (* -1 (/ (* (+ x.im (* -1 x.im)) (- (* -1 (/ (+ (* -2 (pow x.im 3)) (* 2 (pow x.im 3))) x.im)) (* x.im (+ x.im (* -1 x.im))))) (pow x.im 2))))))) (* x.im (+ x.im (* -1 x.im))))))
(/ (* (pow x.re 2) (- (* 4 (pow x.im 2)) (pow x.im 2))) (- (* 2 x.im) x.im))
(* (pow x.re 2) (- (+ (* -1 (/ (* (pow x.im 2) (+ (* -2 x.im) (* 2 x.im))) (* x.re (- (* 2 x.im) x.im)))) (* 4 (/ (pow x.im 2) (- (* 2 x.im) x.im)))) (+ (* -1 (/ (* x.im (* (+ x.im (* -1 x.im)) (- (* 4 (pow x.im 2)) (pow x.im 2)))) (* x.re (pow (- (* 2 x.im) x.im) 2)))) (/ (pow x.im 2) (- (* 2 x.im) x.im)))))
(* (pow x.re 2) (- (+ (* -1 (/ (* (pow x.im 2) (+ (* -4 (pow x.im 2)) (* 2 (pow x.im 2)))) (* (pow x.re 2) (- (* 2 x.im) x.im)))) (+ (* -1 (/ (* (pow x.im 2) (+ (* -2 x.im) (* 2 x.im))) (* x.re (- (* 2 x.im) x.im)))) (* 4 (/ (pow x.im 2) (- (* 2 x.im) x.im))))) (+ (* -1 (/ (* x.im (* (+ x.im (* -1 x.im)) (- (* -1 (/ (* (pow x.im 2) (+ (* -2 x.im) (* 2 x.im))) (- (* 2 x.im) x.im))) (* -1 (/ (* x.im (* (+ x.im (* -1 x.im)) (- (* 4 (pow x.im 2)) (pow x.im 2)))) (pow (- (* 2 x.im) x.im) 2)))))) (* (pow x.re 2) (- (* 2 x.im) x.im)))) (+ (* -1 (/ (* x.im (* (+ x.im (* -1 x.im)) (- (* 4 (pow x.im 2)) (pow x.im 2)))) (* x.re (pow (- (* 2 x.im) x.im) 2)))) (+ (/ (* (pow x.im 3) (- (* 4 (pow x.im 2)) (pow x.im 2))) (* (pow x.re 2) (pow (- (* 2 x.im) x.im) 2))) (/ (pow x.im 2) (- (* 2 x.im) x.im)))))))
(* (pow x.re 2) (- (+ (* -1 (/ (* (pow x.im 2) (+ (* -4 (pow x.im 2)) (* 2 (pow x.im 2)))) (* (pow x.re 2) (- (* 2 x.im) x.im)))) (+ (* -1 (/ (* (pow x.im 2) (+ (* -2 x.im) (* 2 x.im))) (* x.re (- (* 2 x.im) x.im)))) (+ (* -1 (/ (* (pow x.im 2) (+ (* -2 (pow x.im 3)) (* 2 (pow x.im 3)))) (* (pow x.re 3) (- (* 2 x.im) x.im)))) (* 4 (/ (pow x.im 2) (- (* 2 x.im) x.im)))))) (+ (* -1 (/ (* x.im (* (+ x.im (* -1 x.im)) (- (* -1 (/ (* (pow x.im 2) (+ (* -4 (pow x.im 2)) (* 2 (pow x.im 2)))) (- (* 2 x.im) x.im))) (+ (* -1 (/ (* x.im (* (+ x.im (* -1 x.im)) (- (* -1 (/ (* (pow x.im 2) (+ (* -2 x.im) (* 2 x.im))) (- (* 2 x.im) x.im))) (* -1 (/ (* x.im (* (+ x.im (* -1 x.im)) (- (* 4 (pow x.im 2)) (pow x.im 2)))) (pow (- (* 2 x.im) x.im) 2)))))) (- (* 2 x.im) x.im))) (/ (* (pow x.im 3) (- (* 4 (pow x.im 2)) (pow x.im 2))) (pow (- (* 2 x.im) x.im) 2)))))) (* (pow x.re 3) (- (* 2 x.im) x.im)))) (+ (* -1 (/ (* x.im (* (+ x.im (* -1 x.im)) (- (* -1 (/ (* (pow x.im 2) (+ (* -2 x.im) (* 2 x.im))) (- (* 2 x.im) x.im))) (* -1 (/ (* x.im (* (+ x.im (* -1 x.im)) (- (* 4 (pow x.im 2)) (pow x.im 2)))) (pow (- (* 2 x.im) x.im) 2)))))) (* (pow x.re 2) (- (* 2 x.im) x.im)))) (+ (* -1 (/ (* x.im (* (+ x.im (* -1 x.im)) (- (* 4 (pow x.im 2)) (pow x.im 2)))) (* x.re (pow (- (* 2 x.im) x.im) 2)))) (+ (/ (* (pow x.im 3) (- (* -1 (/ (* (pow x.im 2) (+ (* -2 x.im) (* 2 x.im))) (- (* 2 x.im) x.im))) (* -1 (/ (* x.im (* (+ x.im (* -1 x.im)) (- (* 4 (pow x.im 2)) (pow x.im 2)))) (pow (- (* 2 x.im) x.im) 2))))) (* (pow x.re 3) (- (* 2 x.im) x.im))) (+ (/ (* (pow x.im 3) (- (* 4 (pow x.im 2)) (pow x.im 2))) (* (pow x.re 2) (pow (- (* 2 x.im) x.im) 2))) (/ (pow x.im 2) (- (* 2 x.im) x.im)))))))))
(/ (* (pow x.re 2) (- (* 4 (pow x.im 2)) (pow x.im 2))) (- (* 2 x.im) x.im))
(* (pow x.re 2) (- (+ (* -1 (/ (- (* -1 (/ (* (pow x.im 2) (+ (* -2 x.im) (* 2 x.im))) (- (* 2 x.im) x.im))) (/ (* x.im (* (+ x.im (* -1 x.im)) (- (* 4 (pow x.im 2)) (pow x.im 2)))) (pow (- (* 2 x.im) x.im) 2))) x.re)) (* 4 (/ (pow x.im 2) (- (* 2 x.im) x.im)))) (/ (pow x.im 2) (- (* 2 x.im) x.im))))
(* (pow x.re 2) (- (+ (* -1 (/ (- (+ (* -1 (/ (* (pow x.im 2) (+ (* -2 x.im) (* 2 x.im))) (- (* 2 x.im) x.im))) (* -1 (/ (- (* -1 (/ (* (pow x.im 2) (+ (* -4 (pow x.im 2)) (* 2 (pow x.im 2)))) (- (* 2 x.im) x.im))) (+ (/ (* x.im (* (+ x.im (* -1 x.im)) (- (* -1 (/ (* (pow x.im 2) (+ (* -2 x.im) (* 2 x.im))) (- (* 2 x.im) x.im))) (/ (* x.im (* (+ x.im (* -1 x.im)) (- (* 4 (pow x.im 2)) (pow x.im 2)))) (pow (- (* 2 x.im) x.im) 2))))) (- (* 2 x.im) x.im)) (/ (* (pow x.im 3) (- (* 4 (pow x.im 2)) (pow x.im 2))) (pow (- (* 2 x.im) x.im) 2)))) x.re))) (/ (* x.im (* (+ x.im (* -1 x.im)) (- (* 4 (pow x.im 2)) (pow x.im 2)))) (pow (- (* 2 x.im) x.im) 2))) x.re)) (* 4 (/ (pow x.im 2) (- (* 2 x.im) x.im)))) (/ (pow x.im 2) (- (* 2 x.im) x.im))))
(* (pow x.re 2) (- (+ (* -1 (/ (- (+ (* -1 (/ (* (pow x.im 2) (+ (* -2 x.im) (* 2 x.im))) (- (* 2 x.im) x.im))) (* -1 (/ (- (+ (* -1 (/ (* (pow x.im 2) (+ (* -4 (pow x.im 2)) (* 2 (pow x.im 2)))) (- (* 2 x.im) x.im))) (* -1 (/ (- (* -1 (/ (* (pow x.im 2) (+ (* -2 (pow x.im 3)) (* 2 (pow x.im 3)))) (- (* 2 x.im) x.im))) (+ (/ (* x.im (* (+ x.im (* -1 x.im)) (- (* -1 (/ (* (pow x.im 2) (+ (* -4 (pow x.im 2)) (* 2 (pow x.im 2)))) (- (* 2 x.im) x.im))) (+ (/ (* x.im (* (+ x.im (* -1 x.im)) (- (* -1 (/ (* (pow x.im 2) (+ (* -2 x.im) (* 2 x.im))) (- (* 2 x.im) x.im))) (/ (* x.im (* (+ x.im (* -1 x.im)) (- (* 4 (pow x.im 2)) (pow x.im 2)))) (pow (- (* 2 x.im) x.im) 2))))) (- (* 2 x.im) x.im)) (/ (* (pow x.im 3) (- (* 4 (pow x.im 2)) (pow x.im 2))) (pow (- (* 2 x.im) x.im) 2)))))) (- (* 2 x.im) x.im)) (/ (* (pow x.im 3) (- (* -1 (/ (* (pow x.im 2) (+ (* -2 x.im) (* 2 x.im))) (- (* 2 x.im) x.im))) (/ (* x.im (* (+ x.im (* -1 x.im)) (- (* 4 (pow x.im 2)) (pow x.im 2)))) (pow (- (* 2 x.im) x.im) 2)))) (- (* 2 x.im) x.im)))) x.re))) (+ (/ (* x.im (* (+ x.im (* -1 x.im)) (- (* -1 (/ (* (pow x.im 2) (+ (* -2 x.im) (* 2 x.im))) (- (* 2 x.im) x.im))) (/ (* x.im (* (+ x.im (* -1 x.im)) (- (* 4 (pow x.im 2)) (pow x.im 2)))) (pow (- (* 2 x.im) x.im) 2))))) (- (* 2 x.im) x.im)) (/ (* (pow x.im 3) (- (* 4 (pow x.im 2)) (pow x.im 2))) (pow (- (* 2 x.im) x.im) 2)))) x.re))) (/ (* x.im (* (+ x.im (* -1 x.im)) (- (* 4 (pow x.im 2)) (pow x.im 2)))) (pow (- (* 2 x.im) x.im) 2))) x.re)) (* 4 (/ (pow x.im 2) (- (* 2 x.im) x.im)))) (/ (pow x.im 2) (- (* 2 x.im) x.im))))
(/ (* x.im (- (* 4 (pow x.re 4)) (pow x.re 4))) (- (* 2 (pow x.re 2)) (pow x.re 2)))
(* x.im (- (+ (* 4 (/ (pow x.re 4) (- (* 2 (pow x.re 2)) (pow x.re 2)))) (* x.im (- (* -1 (/ (+ (* -2 (pow x.re 3)) (* 2 (pow x.re 3))) (- (* 2 (pow x.re 2)) (pow x.re 2)))) (* -1 (/ (* (+ x.re (* -1 x.re)) (- (* 4 (pow x.re 4)) (pow x.re 4))) (pow (- (* 2 (pow x.re 2)) (pow x.re 2)) 2)))))) (/ (pow x.re 4) (- (* 2 (pow x.re 2)) (pow x.re 2)))))
(* x.im (- (+ (* 4 (/ (pow x.re 4) (- (* 2 (pow x.re 2)) (pow x.re 2)))) (* x.im (- (+ (* -1 (/ (+ (* -2 (pow x.re 3)) (* 2 (pow x.re 3))) (- (* 2 (pow x.re 2)) (pow x.re 2)))) (* x.im (- (+ (* -1 (/ (+ (* -4 (pow x.re 2)) (* 2 (pow x.re 2))) (- (* 2 (pow x.re 2)) (pow x.re 2)))) (/ (pow x.re 4) (pow (- (* 2 (pow x.re 2)) (pow x.re 2)) 2))) (+ (* -1 (/ (* (+ x.re (* -1 x.re)) (- (* -1 (/ (+ (* -2 (pow x.re 3)) (* 2 (pow x.re 3))) (- (* 2 (pow x.re 2)) (pow x.re 2)))) (* -1 (/ (* (+ x.re (* -1 x.re)) (- (* 4 (pow x.re 4)) (pow x.re 4))) (pow (- (* 2 (pow x.re 2)) (pow x.re 2)) 2))))) (- (* 2 (pow x.re 2)) (pow x.re 2)))) (* 4 (/ (pow x.re 4) (pow (- (* 2 (pow x.re 2)) (pow x.re 2)) 2))))))) (* -1 (/ (* (+ x.re (* -1 x.re)) (- (* 4 (pow x.re 4)) (pow x.re 4))) (pow (- (* 2 (pow x.re 2)) (pow x.re 2)) 2)))))) (/ (pow x.re 4) (- (* 2 (pow x.re 2)) (pow x.re 2)))))
(* x.im (- (+ (* 4 (/ (pow x.re 4) (- (* 2 (pow x.re 2)) (pow x.re 2)))) (* x.im (- (+ (* -1 (/ (+ (* -2 (pow x.re 3)) (* 2 (pow x.re 3))) (- (* 2 (pow x.re 2)) (pow x.re 2)))) (* x.im (- (+ (* -1 (/ (+ (* -4 (pow x.re 2)) (* 2 (pow x.re 2))) (- (* 2 (pow x.re 2)) (pow x.re 2)))) (+ (* x.im (- (+ (* -1 (/ (* (+ x.re (* -1 x.re)) (- (* 4 (pow x.re 4)) (pow x.re 4))) (pow (- (* 2 (pow x.re 2)) (pow x.re 2)) 3))) (* -1 (/ (+ (* -2 x.re) (* 2 x.re)) (- (* 2 (pow x.re 2)) (pow x.re 2))))) (+ (* -1 (/ (* (+ x.re (* -1 x.re)) (- (+ (* -1 (/ (+ (* -4 (pow x.re 2)) (* 2 (pow x.re 2))) (- (* 2 (pow x.re 2)) (pow x.re 2)))) (/ (pow x.re 4) (pow (- (* 2 (pow x.re 2)) (pow x.re 2)) 2))) (+ (* -1 (/ (* (+ x.re (* -1 x.re)) (- (* -1 (/ (+ (* -2 (pow x.re 3)) (* 2 (pow x.re 3))) (- (* 2 (pow x.re 2)) (pow x.re 2)))) (* -1 (/ (* (+ x.re (* -1 x.re)) (- (* 4 (pow x.re 4)) (pow x.re 4))) (pow (- (* 2 (pow x.re 2)) (pow x.re 2)) 2))))) (- (* 2 (pow x.re 2)) (pow x.re 2)))) (* 4 (/ (pow x.re 4) (pow (- (* 2 (pow x.re 2)) (pow x.re 2)) 2)))))) (- (* 2 (pow x.re 2)) (pow x.re 2)))) (* -1 (/ (+ (* -2 (pow x.re 3)) (* 2 (pow x.re 3))) (pow (- (* 2 (pow x.re 2)) (pow x.re 2)) 2)))))) (/ (pow x.re 4) (pow (- (* 2 (pow x.re 2)) (pow x.re 2)) 2)))) (+ (* -1 (/ (* (+ x.re (* -1 x.re)) (- (* -1 (/ (+ (* -2 (pow x.re 3)) (* 2 (pow x.re 3))) (- (* 2 (pow x.re 2)) (pow x.re 2)))) (* -1 (/ (* (+ x.re (* -1 x.re)) (- (* 4 (pow x.re 4)) (pow x.re 4))) (pow (- (* 2 (pow x.re 2)) (pow x.re 2)) 2))))) (- (* 2 (pow x.re 2)) (pow x.re 2)))) (* 4 (/ (pow x.re 4) (pow (- (* 2 (pow x.re 2)) (pow x.re 2)) 2))))))) (* -1 (/ (* (+ x.re (* -1 x.re)) (- (* 4 (pow x.re 4)) (pow x.re 4))) (pow (- (* 2 (pow x.re 2)) (pow x.re 2)) 2)))))) (/ (pow x.re 4) (- (* 2 (pow x.re 2)) (pow x.re 2)))))
(* -1 (pow x.im 3))
(* (pow x.im 3) (- (* -1 (/ (+ (* -2 x.re) (* 2 x.re)) x.im)) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))
(* (pow x.im 3) (- (+ (* -1 (/ (+ (* -4 (pow x.re 2)) (* 2 (pow x.re 2))) (pow x.im 2))) (* -1 (/ (+ (* -2 x.re) (* 2 x.re)) x.im))) (+ 1 (+ (* -1 (/ x.re x.im)) (+ (* -1 (/ (* (+ x.re (* -1 x.re)) (- (* -1 (+ (* -2 x.re) (* 2 x.re))) (+ x.re (* -1 x.re)))) (pow x.im 2))) (+ (* -1 (/ (- (* 2 (pow x.re 2)) (pow x.re 2)) (pow x.im 2))) (/ x.re x.im)))))))
(* (pow x.im 3) (- (+ (* -1 (/ (+ (* -4 (pow x.re 2)) (* 2 (pow x.re 2))) (pow x.im 2))) (+ (* -1 (/ (+ (* -2 x.re) (* 2 x.re)) x.im)) (* -1 (/ (+ (* -2 (pow x.re 3)) (* 2 (pow x.re 3))) (pow x.im 3))))) (+ 1 (+ (* -1 (/ x.re x.im)) (+ (* -1 (/ (* (+ x.re (* -1 x.re)) (- (* -1 (+ (* -4 (pow x.re 2)) (* 2 (pow x.re 2)))) (+ (* -1 (* (+ x.re (* -1 x.re)) (- (* -1 (+ (* -2 x.re) (* 2 x.re))) (+ x.re (* -1 x.re))))) (* -1 (- (* 2 (pow x.re 2)) (pow x.re 2)))))) (pow x.im 3))) (+ (* -1 (/ (* (+ x.re (* -1 x.re)) (- (* -1 (+ (* -2 x.re) (* 2 x.re))) (+ x.re (* -1 x.re)))) (pow x.im 2))) (+ (* -1 (/ (- (* 2 (pow x.re 2)) (pow x.re 2)) (pow x.im 2))) (+ (/ x.re x.im) (/ (* (- (* -1 (+ (* -2 x.re) (* 2 x.re))) (+ x.re (* -1 x.re))) (- (* 2 (pow x.re 2)) (pow x.re 2))) (pow x.im 3))))))))))
(* -1 (pow x.im 3))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (- (+ (* -2 x.re) (* 2 x.re)) (* -1 (+ x.re (* -1 x.re)))) x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (- (+ (* -2 x.re) (+ (* -1 (/ (- (+ (* -4 (pow x.re 2)) (* 2 (pow x.re 2))) (+ (* -1 (* (+ x.re (* -1 x.re)) (- (+ (* -2 x.re) (* 2 x.re)) (* -1 (+ x.re (* -1 x.re)))))) (* -1 (- (* -2 (pow x.re 2)) (* -1 (pow x.re 2)))))) x.im)) (* 2 x.re))) (* -1 (+ x.re (* -1 x.re)))) x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (- (+ (* -2 x.re) (+ (* -1 (/ (- (+ (* -4 (pow x.re 2)) (+ (* -1 (/ (- (+ (* -2 (pow x.re 3)) (* 2 (pow x.re 3))) (+ (* -1 (* (+ x.re (* -1 x.re)) (- (+ (* -4 (pow x.re 2)) (* 2 (pow x.re 2))) (+ (* -1 (* (+ x.re (* -1 x.re)) (- (+ (* -2 x.re) (* 2 x.re)) (* -1 (+ x.re (* -1 x.re)))))) (* -1 (- (* -2 (pow x.re 2)) (* -1 (pow x.re 2)))))))) (* -1 (* (- (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) (- (+ (* -2 x.re) (* 2 x.re)) (* -1 (+ x.re (* -1 x.re)))))))) x.im)) (* 2 (pow x.re 2)))) (+ (* -1 (* (+ x.re (* -1 x.re)) (- (+ (* -2 x.re) (* 2 x.re)) (* -1 (+ x.re (* -1 x.re)))))) (* -1 (- (* -2 (pow x.re 2)) (* -1 (pow x.re 2)))))) x.im)) (* 2 x.re))) (* -1 (+ x.re (* -1 x.re)))) x.im)))))
(* -1 (pow x.im 6))
(- (* -1 (* (pow x.im 2) (* x.re (+ (* -2 (pow x.im 3)) (* 2 (pow x.im 3)))))) (pow x.im 6))
(- (* x.re (- (* -1 (* (pow x.im 2) (* x.re (+ (* -4 (pow x.im 2)) (* 2 (pow x.im 2)))))) (* (pow x.im 2) (+ (* -2 (pow x.im 3)) (* 2 (pow x.im 3)))))) (pow x.im 6))
(- (* x.re (- (* x.re (- (* -1 (* (pow x.im 2) (* x.re (+ (* -2 x.im) (* 2 x.im))))) (* (pow x.im 2) (+ (* -4 (pow x.im 2)) (* 2 (pow x.im 2)))))) (* (pow x.im 2) (+ (* -2 (pow x.im 3)) (* 2 (pow x.im 3)))))) (pow x.im 6))
(* (pow x.re 4) (- (* 4 (pow x.im 2)) (pow x.im 2)))
(* (pow x.re 4) (- (+ (* -1 (/ (* (pow x.im 2) (+ (* -2 x.im) (* 2 x.im))) x.re)) (* 4 (pow x.im 2))) (pow x.im 2)))
(* (pow x.re 4) (- (+ (* -1 (/ (* (pow x.im 2) (+ (* -4 (pow x.im 2)) (* 2 (pow x.im 2)))) (pow x.re 2))) (* 4 (pow x.im 2))) (+ (/ (* (pow x.im 2) (+ (* -2 x.im) (* 2 x.im))) x.re) (pow x.im 2))))
(* (pow x.re 4) (- (+ (* -1 (/ (* (pow x.im 2) (+ (* -2 (pow x.im 3)) (* 2 (pow x.im 3)))) (pow x.re 3))) (* 4 (pow x.im 2))) (+ (/ (* (pow x.im 2) (+ (* -4 (pow x.im 2)) (* 2 (pow x.im 2)))) (pow x.re 2)) (+ (/ (* (pow x.im 2) (+ (* -2 x.im) (* 2 x.im))) x.re) (pow x.im 2)))))
(* (pow x.re 4) (- (* 4 (pow x.im 2)) (pow x.im 2)))
(* (pow x.re 4) (- (+ (* 4 (pow x.im 2)) (/ (* (pow x.im 2) (+ (* -2 x.im) (* 2 x.im))) x.re)) (pow x.im 2)))
(* (pow x.re 4) (- (+ (* -1 (/ (- (/ (* (pow x.im 2) (+ (* -4 (pow x.im 2)) (* 2 (pow x.im 2)))) x.re) (* (pow x.im 2) (+ (* -2 x.im) (* 2 x.im)))) x.re)) (* 4 (pow x.im 2))) (pow x.im 2)))
(* (pow x.re 4) (- (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow x.im 2) (+ (* -2 (pow x.im 3)) (* 2 (pow x.im 3)))) x.re) (* (pow x.im 2) (+ (* -4 (pow x.im 2)) (* 2 (pow x.im 2))))) x.re)) (* (pow x.im 2) (+ (* -2 x.im) (* 2 x.im)))) x.re)) (* 4 (pow x.im 2))) (pow x.im 2)))
(* (pow x.im 2) (- (* 4 (pow x.re 4)) (pow x.re 4)))
(* (pow x.im 2) (- (+ (* -1 (* x.im (+ (* -2 (pow x.re 3)) (* 2 (pow x.re 3))))) (* 4 (pow x.re 4))) (pow x.re 4)))
(* (pow x.im 2) (- (+ (* 4 (pow x.re 4)) (* x.im (- (* -1 (* x.im (+ (* -4 (pow x.re 2)) (* 2 (pow x.re 2))))) (+ (* -2 (pow x.re 3)) (* 2 (pow x.re 3)))))) (pow x.re 4)))
(* (pow x.im 2) (- (+ (* 4 (pow x.re 4)) (* x.im (- (* x.im (- (* -1 (* x.im (+ (* -2 x.re) (* 2 x.re)))) (+ (* -4 (pow x.re 2)) (* 2 (pow x.re 2))))) (+ (* -2 (pow x.re 3)) (* 2 (pow x.re 3)))))) (pow x.re 4)))
(* -1 (pow x.im 6))
(* (pow x.im 6) (- (* -1 (/ (+ (* -2 x.re) (* 2 x.re)) x.im)) 1))
(* (pow x.im 6) (- (* -1 (/ (+ (* -4 (pow x.re 2)) (* 2 (pow x.re 2))) (pow x.im 2))) (+ 1 (+ (* -2 (/ x.re x.im)) (* 2 (/ x.re x.im))))))
(* (pow x.im 6) (- (* -1 (/ (+ (* -2 (pow x.re 3)) (* 2 (pow x.re 3))) (pow x.im 3))) (+ 1 (+ (* -4 (/ (pow x.re 2) (pow x.im 2))) (+ (* -2 (/ x.re x.im)) (+ (* 2 (/ x.re x.im)) (* 2 (/ (pow x.re 2) (pow x.im 2)))))))))
(* -1 (pow x.im 6))
(* (pow x.im 6) (- (+ (* -2 (/ x.re x.im)) (* 2 (/ x.re x.im))) 1))
(* (pow x.im 6) (- (* -1 (/ (- (+ (* -4 (/ (pow x.re 2) x.im)) (* 2 (/ (pow x.re 2) x.im))) (+ (* -2 x.re) (* 2 x.re))) x.im)) 1))
(* (pow x.im 6) (- (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (pow x.re 3) x.im)) (* 2 (/ (pow x.re 3) x.im))) (+ (* -4 (pow x.re 2)) (* 2 (pow x.re 2)))) x.im)) (+ (* -2 x.re) (* 2 x.re))) x.im)) 1))
(pow x.im 3)
(- (* -1 (* x.im (* x.re (+ x.im (* -1 x.im))))) (* -1 (pow x.im 3)))
(- (* x.re (- (* x.re (- (* 2 x.im) x.im)) (* x.im (+ x.im (* -1 x.im))))) (* -1 (pow x.im 3)))
(- (* x.re (- (* x.re (- (* 2 x.im) x.im)) (* x.im (+ x.im (* -1 x.im))))) (* -1 (pow x.im 3)))
(* (pow x.re 2) (- (* 2 x.im) x.im))
(* (pow x.re 2) (- (+ (* -1 (/ (* x.im (+ x.im (* -1 x.im))) x.re)) (* 2 x.im)) x.im))
(* (pow x.re 2) (- (+ (* 2 x.im) (/ (pow x.im 3) (pow x.re 2))) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(* (pow x.re 2) (- (+ (* 2 x.im) (/ (pow x.im 3) (pow x.re 2))) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(* (pow x.re 2) (- (* 2 x.im) x.im))
(* (pow x.re 2) (- (+ (* -1 (/ (* x.im (+ x.im (* -1 x.im))) x.re)) (* 2 x.im)) x.im))
(* (pow x.re 2) (- (+ (* -1 (/ (- (* -1 (/ (pow x.im 3) x.re)) (* -1 (* x.im (+ x.im (* -1 x.im))))) x.re)) (* 2 x.im)) x.im))
(* (pow x.re 2) (- (+ (* -1 (/ (- (* -1 (/ (pow x.im 3) x.re)) (* -1 (* x.im (+ x.im (* -1 x.im))))) x.re)) (* 2 x.im)) x.im))
(* x.im (- (* 2 (pow x.re 2)) (pow x.re 2)))
(* x.im (- (+ (* -1 (* x.im (+ x.re (* -1 x.re)))) (* 2 (pow x.re 2))) (pow x.re 2)))
(* x.im (- (+ (* 2 (pow x.re 2)) (* x.im (- x.im (+ x.re (* -1 x.re))))) (pow x.re 2)))
(* x.im (- (+ (* 2 (pow x.re 2)) (* x.im (- x.im (+ x.re (* -1 x.re))))) (pow x.re 2)))
(pow x.im 3)
(* (pow x.im 3) (+ 1 (* -1 (/ (+ x.re (* -1 x.re)) x.im))))
(* (pow x.im 3) (- (+ 1 (* 2 (/ (pow x.re 2) (pow x.im 2)))) (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))))
(* (pow x.im 3) (- (+ 1 (* 2 (/ (pow x.re 2) (pow x.im 2)))) (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))))
(pow x.im 3)
(* -1 (* (pow x.im 3) (- (* -1 (/ (+ x.re (* -1 x.re)) x.im)) 1)))
(* -1 (* (pow x.im 3) (- (* -1 (/ (- (* -1 (/ (- (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im)) (* -1 (+ x.re (* -1 x.re)))) x.im)) 1)))
(* -1 (* (pow x.im 3) (- (* -1 (/ (- (* -1 (/ (- (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im)) (* -1 (+ x.re (* -1 x.re)))) x.im)) 1)))
(* 4 (* (pow x.im 2) (pow x.re 2)))
(* 4 (* (pow x.im 2) (pow x.re 2)))
(* 4 (* (pow x.im 2) (pow x.re 2)))
(* 4 (* (pow x.im 2) (pow x.re 2)))
(* 4 (* (pow x.im 2) (pow x.re 2)))
(* 4 (* (pow x.im 2) (pow x.re 2)))
(* 4 (* (pow x.im 2) (pow x.re 2)))
(* 4 (* (pow x.im 2) (pow x.re 2)))
(* 4 (* (pow x.im 2) (pow x.re 2)))
(* 4 (* (pow x.im 2) (pow x.re 2)))
(* 4 (* (pow x.im 2) (pow x.re 2)))
(* 4 (* (pow x.im 2) (pow x.re 2)))
(* 4 (* (pow x.im 2) (pow x.re 2)))
(* 4 (* (pow x.im 2) (pow x.re 2)))
(* 4 (* (pow x.im 2) (pow x.re 2)))
(* 4 (* (pow x.im 2) (pow x.re 2)))
(* 4 (* (pow x.im 2) (pow x.re 2)))
(* 4 (* (pow x.im 2) (pow x.re 2)))
(* 4 (* (pow x.im 2) (pow x.re 2)))
(* 4 (* (pow x.im 2) (pow x.re 2)))
(* 4 (* (pow x.im 2) (pow x.re 2)))
(* 4 (* (pow x.im 2) (pow x.re 2)))
(* 4 (* (pow x.im 2) (pow x.re 2)))
(* 4 (* (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)))
(* 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 (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 (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 (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 (pow x.re 2)))
(* 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))
(* 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))
(* 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))
(* 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))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im x.re))
(* 2 (* x.im 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)))
(* 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 (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 (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 (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 (pow x.re 2)))
(* 4 (* (pow x.im 2) (pow x.re 4)))
(* 4 (* (pow x.im 2) (pow x.re 4)))
(* 4 (* (pow x.im 2) (pow x.re 4)))
(* 4 (* (pow x.im 2) (pow x.re 4)))
(* 4 (* (pow x.im 2) (pow x.re 4)))
(* 4 (* (pow x.im 2) (pow x.re 4)))
(* 4 (* (pow x.im 2) (pow x.re 4)))
(* 4 (* (pow x.im 2) (pow x.re 4)))
(* 4 (* (pow x.im 2) (pow x.re 4)))
(* 4 (* (pow x.im 2) (pow x.re 4)))
(* 4 (* (pow x.im 2) (pow x.re 4)))
(* 4 (* (pow x.im 2) (pow x.re 4)))
(* 4 (* (pow x.im 2) (pow x.re 4)))
(* 4 (* (pow x.im 2) (pow x.re 4)))
(* 4 (* (pow x.im 2) (pow x.re 4)))
(* 4 (* (pow x.im 2) (pow x.re 4)))
(* 4 (* (pow x.im 2) (pow x.re 4)))
(* 4 (* (pow x.im 2) (pow x.re 4)))
(* 4 (* (pow x.im 2) (pow x.re 4)))
(* 4 (* (pow x.im 2) (pow x.re 4)))
(* 4 (* (pow x.im 2) (pow x.re 4)))
(* 4 (* (pow x.im 2) (pow x.re 4)))
(* 4 (* (pow x.im 2) (pow x.re 4)))
(* 4 (* (pow x.im 2) (pow x.re 4)))

Outputs
(* -1 (pow x.im 3))
(.f64 x.im (.f64 x.im (neg.f64 x.im)))
(+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im)))))
(.f64 x.im (.f64 x.im (neg.f64 x.im)))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))
(fma.f64 x.im (.f64 x.im (neg.f64 x.im)) (.f64 (.f64 #s(literal 3 binary64) (.f64 x.im x.re)) x.re))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))
(fma.f64 x.im (.f64 x.im (neg.f64 x.im)) (.f64 (.f64 #s(literal 3 binary64) (.f64 x.im x.re)) x.re))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(.f64 #s(literal 3 binary64) (.f64 x.im (*.f64 x.re x.re)))
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(.f64 (.f64 x.re x.re) (fma.f64 x.im #s(literal 3 binary64) (/.f64 #s(literal 0 binary64) 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)))))
(.f64 (.f64 x.re x.re) (+.f64 (fma.f64 x.im #s(literal 3 binary64) (/.f64 #s(literal 0 binary64) x.re)) (/.f64 (.f64 x.im (.f64 x.im x.im)) (neg.f64 (*.f64 x.re 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)))))
(.f64 (.f64 x.re x.re) (+.f64 (fma.f64 x.im #s(literal 3 binary64) (/.f64 #s(literal 0 binary64) x.re)) (/.f64 (.f64 x.im (.f64 x.im x.im)) (neg.f64 (*.f64 x.re x.re)))))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(.f64 #s(literal 3 binary64) (.f64 x.im (*.f64 x.re x.re)))
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(.f64 (.f64 x.re x.re) (fma.f64 x.im #s(literal 3 binary64) (/.f64 #s(literal 0 binary64) 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))))
(.f64 (.f64 x.re x.re) (fma.f64 x.im #s(literal 3 binary64) (/.f64 (+.f64 (/.f64 (.f64 x.im (.f64 x.im x.im)) x.re) #s(literal 0 binary64)) (neg.f64 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))))
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(.f64 #s(literal 2 binary64) (.f64 x.im x.re))
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(.f64 #s(literal 2 binary64) (.f64 x.im x.re))
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(.f64 #s(literal 2 binary64) (.f64 x.im x.re))
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(.f64 #s(literal 2 binary64) (.f64 x.im (*.f64 x.re x.re)))
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(.f64 #s(literal 2 binary64) (.f64 x.im (*.f64 x.re x.re)))
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(.f64 (.f64 (*.f64 x.im x.im) #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))
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(.f64 (.f64 (*.f64 x.im x.im) #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))
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(.f64 (.f64 (*.f64 x.im x.im) #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))
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(.f64 (.f64 (*.f64 x.im x.im) #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))
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(.f64 (.f64 (*.f64 x.im x.im) #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))
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(.f64 (.f64 (*.f64 x.im x.im) #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))
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eval854.0ms (6.3%)

Memory: -94.8MiB live, 961.2MiB allocated
Compiler: Compiled 221 349 to 9 618 computations (95.7% saved)

prune583.0ms (4.3%)

Memory

22.8MiB live, 1 020.6MiB allocated

Pruning

19 alts after pruning (17 fresh and 2 done)

	Pruned	Kept	Total
New	4 560	16	4 576
Fresh	3	1	4
Picked	3	2	5
Done	0	0	0
Total	4 566	19	4 585

Accuracy

100.0%

Counts

4 585 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	62.6%	(fma.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 x.re x.im)) (+.f64 x.im x.im))
	23.3%	(fma.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im) (.f64 x.re (/.f64 (.f64 (.f64 (fma.f64 x.re (.f64 x.re (.f64 x.im x.im)) #s(literal 0 binary64)) (+.f64 x.im x.im)) x.re) (fma.f64 x.re (.f64 x.re (.f64 x.im x.im)) #s(literal 0 binary64)))))
✓	91.2%	(fma.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im) (.f64 x.re (*.f64 x.re (+.f64 x.im x.im))))
	54.9%	(fma.f64 (+.f64 x.re x.im) (.f64 x.im x.re) (.f64 x.re (*.f64 x.re (+.f64 x.im x.im))))
	41.0%	(fma.f64 (.f64 (fma.f64 x.re (.f64 x.re x.re) (.f64 x.im (.f64 x.im x.im))) (/.f64 #s(literal 1 binary64) (fma.f64 x.im (-.f64 x.im x.re) (.f64 x.re x.re)))) (.f64 (-.f64 x.re x.im) x.im) (.f64 x.re (.f64 x.re (+.f64 x.im x.im))))
	18.0%	(fma.f64 (.f64 (+.f64 x.re x.im) (fma.f64 x.re x.re (.f64 x.im x.im))) (.f64 (-.f64 x.re x.im) (/.f64 x.im (fma.f64 x.re x.re (.f64 x.im x.im)))) (+.f64 x.im x.im))
▶	15.8%	(fma.f64 (.f64 (neg.f64 x.im) (.f64 (-.f64 x.re x.im) (.f64 (+.f64 x.re x.im) (fma.f64 x.re x.re (.f64 x.im x.im))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)))) (+.f64 x.im x.im))
	83.0%	(fma.f64 (.f64 x.re x.re) (.f64 #s(literal 3 binary64) x.im) (neg.f64 (.f64 x.im (.f64 x.im x.im))))
	84.9%	(fma.f64 (.f64 x.im (.f64 x.re #s(literal 3 binary64))) x.re (neg.f64 (.f64 x.im (.f64 x.im x.im))))
	57.2%	(pow.f64 (neg.f64 x.im) #s(literal 3 binary64))
▶	62.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 x.re x.im)) (+.f64 x.im x.im))))
	80.3%	(+.f64 (/.f64 (.f64 (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (.f64 x.im (-.f64 x.re x.im))) (-.f64 x.re x.im)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
	86.9%	(.f64 (-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im)) x.im)
▶	51.0%	(.f64 (.f64 x.re x.re) (fma.f64 x.im #s(literal 3 binary64) (/.f64 #s(literal 0 binary64) x.re)))
✓	57.1%	(.f64 (.f64 x.im x.im) (neg.f64 x.im))
▶	86.9%	(.f64 x.im (fma.f64 (.f64 x.re x.re) #s(literal 3 binary64) (neg.f64 (*.f64 x.im x.im))))
	86.9%	(.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im)))))
	51.0%	(.f64 x.im (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
▶	51.0%	(.f64 #s(literal 3 binary64) (.f64 x.im (*.f64 x.re x.re)))

Compiler

Compiled 662 to 346 computations (47.7% saved)

simplify303.0ms (2.2%)

Memory

-26.1MiB live, 367.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(neg.f64 x.im)
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x.re x.re (*.f64 x.im x.im))))
✓	cost-diff	128	(.f64 (neg.f64 x.im) (.f64 (-.f64 x.re x.im) (.f64 (+.f64 x.re x.im) (fma.f64 x.re x.re (.f64 x.im x.im)))))
✓	cost-diff	2944	(fma.f64 (.f64 (neg.f64 x.im) (.f64 (-.f64 x.re x.im) (.f64 (+.f64 x.re x.im) (fma.f64 x.re x.re (.f64 x.im x.im))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)))) (+.f64 x.im x.im))
✓	cost-diff	0	(-.f64 x.re x.im)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 x.re x.im)) (+.f64 x.im x.im)))
✓	cost-diff	192	(fma.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 x.re x.im)) (+.f64 x.im x.im))
✓	cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 x.re x.im)) (+.f64 x.im x.im))))
✓	cost-diff	0	(*.f64 x.re x.re)
✓	cost-diff	0	(.f64 (.f64 x.re x.re) (fma.f64 x.im #s(literal 3 binary64) (/.f64 #s(literal 0 binary64) x.re)))
✓	cost-diff	64	(fma.f64 x.im #s(literal 3 binary64) (/.f64 #s(literal 0 binary64) x.re))
✓	cost-diff	704	(/.f64 #s(literal 0 binary64) x.re)
✓	cost-diff	0	(*.f64 x.re x.re)
✓	cost-diff	0	(.f64 x.im (.f64 x.re x.re))
✓	cost-diff	0	(.f64 #s(literal 3 binary64) (.f64 x.im (*.f64 x.re x.re)))
✓	cost-diff	0	(neg.f64 (*.f64 x.im x.im))
✓	cost-diff	0	(*.f64 x.re x.re)
✓	cost-diff	0	(fma.f64 (.f64 x.re x.re) #s(literal 3 binary64) (neg.f64 (.f64 x.im x.im)))
✓	cost-diff	0	(.f64 x.im (fma.f64 (.f64 x.re x.re) #s(literal 3 binary64) (neg.f64 (*.f64 x.im x.im))))

Rules

10 984×	`lower-fma.f32`
10 974×	`lower-fma.f64`
2 662×	`lower-*.f32`
2 642×	`lower-*.f64`
2 468×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	246
0	59	217
1	144	215
2	446	211
3	2246	210
4	5916	210
0	8547	206

Stop Event

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

Calls

Call 1

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

Outputs
(.f64 x.im (fma.f64 (.f64 x.re x.re) #s(literal 3 binary64) (neg.f64 (*.f64 x.im x.im))))
(.f64 x.im (fma.f64 x.im (neg.f64 x.im) (.f64 x.re (*.f64 x.re #s(literal 3 binary64)))))
x.im
(fma.f64 (.f64 x.re x.re) #s(literal 3 binary64) (neg.f64 (.f64 x.im x.im)))
(fma.f64 x.im (neg.f64 x.im) (.f64 x.re (.f64 x.re #s(literal 3 binary64))))
(*.f64 x.re x.re)
x.re
#s(literal 3 binary64)
(neg.f64 (*.f64 x.im x.im))
(*.f64 x.im (neg.f64 x.im))
(*.f64 x.im x.im)
(.f64 #s(literal 3 binary64) (.f64 x.im (*.f64 x.re x.re)))
(.f64 #s(literal 3 binary64) (.f64 x.re (*.f64 x.im x.re)))
#s(literal 3 binary64)
(.f64 x.im (.f64 x.re x.re))
(.f64 x.re (.f64 x.im x.re))
x.im
(*.f64 x.re x.re)
x.re
(.f64 (.f64 x.re x.re) (fma.f64 x.im #s(literal 3 binary64) (/.f64 #s(literal 0 binary64) x.re)))
(.f64 #s(literal 3 binary64) (.f64 x.re (*.f64 x.im x.re)))
(*.f64 x.re x.re)
x.re
(fma.f64 x.im #s(literal 3 binary64) (/.f64 #s(literal 0 binary64) x.re))
(*.f64 x.im #s(literal 3 binary64))
x.im
#s(literal 3 binary64)
(/.f64 #s(literal 0 binary64) x.re)
#s(literal 0 binary64)
#s(literal 0 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 x.re x.im)) (+.f64 x.im x.im))))
(*.f64 x.im (fma.f64 (-.f64 x.re x.im) (+.f64 x.im x.re) #s(literal 2 binary64)))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 x.re x.im)) (+.f64 x.im x.im)))
(/.f64 #s(literal 1 binary64) (*.f64 x.im (fma.f64 (-.f64 x.re x.im) (+.f64 x.im x.re) #s(literal 2 binary64))))
(fma.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 x.re x.im)) (+.f64 x.im x.im))
(*.f64 x.im (fma.f64 (-.f64 x.re x.im) (+.f64 x.im x.re) #s(literal 2 binary64)))
(-.f64 x.re x.im)
x.re
x.im
(*.f64 x.im (+.f64 x.re x.im))
(*.f64 x.im (+.f64 x.im x.re))
(+.f64 x.re x.im)
(+.f64 x.im x.re)
(+.f64 x.im x.im)
(fma.f64 (.f64 (neg.f64 x.im) (.f64 (-.f64 x.re x.im) (.f64 (+.f64 x.re x.im) (fma.f64 x.re x.re (.f64 x.im x.im))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)))) (+.f64 x.im x.im))
(*.f64 x.im (fma.f64 (-.f64 x.re x.im) (+.f64 x.im x.re) #s(literal 2 binary64)))
(.f64 (neg.f64 x.im) (.f64 (-.f64 x.re x.im) (.f64 (+.f64 x.re x.im) (fma.f64 x.re x.re (.f64 x.im x.im)))))
(.f64 (+.f64 x.im x.re) (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 x.im (-.f64 x.im x.re))))
(neg.f64 x.im)
x.im
(.f64 (-.f64 x.re x.im) (.f64 (+.f64 x.re x.im) (fma.f64 x.re x.re (*.f64 x.im x.im))))
(.f64 (-.f64 x.re x.im) (.f64 (+.f64 x.im x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))))
(-.f64 x.re x.im)
x.re
(.f64 (+.f64 x.re x.im) (fma.f64 x.re x.re (.f64 x.im x.im)))
(.f64 (+.f64 x.im x.re) (fma.f64 x.im x.im (.f64 x.re x.re)))
(+.f64 x.re x.im)
(+.f64 x.im x.re)
(fma.f64 x.re x.re (*.f64 x.im x.im))
(fma.f64 x.im x.im (*.f64 x.re x.re))
(*.f64 x.im x.im)
(/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x.re x.re (*.f64 x.im x.im))))
(/.f64 #s(literal -1 binary64) (fma.f64 x.im x.im (*.f64 x.re x.re)))
#s(literal 1 binary64)
(neg.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)))
(neg.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)))
(+.f64 x.im x.im)

localize108.0ms (0.8%)

Memory

40.3MiB live, 195.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 (+.f64 x.re x.im) (fma.f64 x.re x.re (.f64 x.im x.im)))
✓	accuracy	99.2%	(/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x.re x.re (*.f64 x.im x.im))))
✓	accuracy	98.1%	(.f64 (neg.f64 x.im) (.f64 (-.f64 x.re x.im) (.f64 (+.f64 x.re x.im) (fma.f64 x.re x.re (.f64 x.im x.im)))))
✓	accuracy	45.8%	(fma.f64 (.f64 (neg.f64 x.im) (.f64 (-.f64 x.re x.im) (.f64 (+.f64 x.re x.im) (fma.f64 x.re x.re (.f64 x.im x.im))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)))) (+.f64 x.im x.im))
✓	accuracy	100.0%	(*.f64 x.im (+.f64 x.re x.im))
✓	accuracy	99.9%	(fma.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 x.re x.im)) (+.f64 x.im x.im))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 x.re x.im)) (+.f64 x.im x.im))))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 x.re x.im)) (+.f64 x.im x.im)))
✓	accuracy	100.0%	(fma.f64 x.im #s(literal 3 binary64) (/.f64 #s(literal 0 binary64) x.re))
✓	accuracy	100.0%	(/.f64 #s(literal 0 binary64) x.re)
✓	accuracy	100.0%	(*.f64 x.re x.re)
✓	accuracy	87.2%	(.f64 (.f64 x.re x.re) (fma.f64 x.im #s(literal 3 binary64) (/.f64 #s(literal 0 binary64) x.re)))
✓	accuracy	100.0%	(*.f64 x.re x.re)
✓	accuracy	99.7%	(.f64 #s(literal 3 binary64) (.f64 x.im (*.f64 x.re x.re)))
✓	accuracy	87.3%	(.f64 x.im (.f64 x.re x.re))
✓	accuracy	100.0%	(*.f64 x.im x.im)
✓	accuracy	100.0%	(neg.f64 (*.f64 x.im x.im))
✓	accuracy	95.2%	(.f64 x.im (fma.f64 (.f64 x.re x.re) #s(literal 3 binary64) (neg.f64 (*.f64 x.im x.im))))
✓	accuracy	92.5%	(fma.f64 (.f64 x.re x.re) #s(literal 3 binary64) (neg.f64 (.f64 x.im x.im)))

Samples

65.0ms

256×

valid

Compiler

Compiled 264 to 36 computations (86.4% saved)

Precisions

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

ival-mult: 23.0ms (48.5% of total)

ival-add: 12.0ms (25.3% of total)

ival-div: 6.0ms (12.6% of total)

ival-neg: 5.0ms (10.5% of total)

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

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

exact: 0.0ms (0% of total)

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

series30.0ms (0.2%)

Memory

-26.0MiB live, 45.0MiB allocated

Counts

20 → 420

Calls

Call 1

Inputs
#<alt (.f64 x.im (fma.f64 (.f64 x.re x.re) #s(literal 3 binary64) (neg.f64 (*.f64 x.im x.im))))>
#<alt (fma.f64 (.f64 x.re x.re) #s(literal 3 binary64) (neg.f64 (.f64 x.im x.im)))>
#<alt (*.f64 x.re x.re)>
#<alt (neg.f64 (*.f64 x.im x.im))>
#<alt (.f64 #s(literal 3 binary64) (.f64 x.im (*.f64 x.re x.re)))>
#<alt (.f64 x.im (.f64 x.re x.re))>
#<alt (/.f64 #s(literal 0 binary64) x.re)>
#<alt (fma.f64 x.im #s(literal 3 binary64) (/.f64 #s(literal 0 binary64) x.re))>
#<alt (.f64 (.f64 x.re x.re) (fma.f64 x.im #s(literal 3 binary64) (/.f64 #s(literal 0 binary64) x.re)))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 x.re x.im)) (+.f64 x.im x.im))))>
#<alt (fma.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 x.re x.im)) (+.f64 x.im x.im))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 x.re x.im)) (+.f64 x.im x.im)))>
#<alt (-.f64 x.re x.im)>
#<alt (fma.f64 (.f64 (neg.f64 x.im) (.f64 (-.f64 x.re x.im) (.f64 (+.f64 x.re x.im) (fma.f64 x.re x.re (.f64 x.im x.im))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)))) (+.f64 x.im x.im))>
#<alt (.f64 (neg.f64 x.im) (.f64 (-.f64 x.re x.im) (.f64 (+.f64 x.re x.im) (fma.f64 x.re x.re (.f64 x.im x.im)))))>
#<alt (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x.re x.re (*.f64 x.im x.im))))>
#<alt (neg.f64 x.im)>
#<alt (*.f64 x.im x.im)>
#<alt (*.f64 x.im (+.f64 x.re x.im))>
#<alt (.f64 (+.f64 x.re x.im) (fma.f64 x.re x.re (.f64 x.im x.im)))>

Outputs
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))>
#<alt (* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))>
#<alt (* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))>
#<alt (* -1 (pow x.im 3))>
#<alt (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))>
#<alt (* -1 (pow x.im 3))>
#<alt (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))>
#<alt (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))>
#<alt (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))>
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))>
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
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#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (- (* -1 (pow x.re 2)) 2) x.im))) x.im)))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (- (* -1 (pow x.re 2)) 2) x.im))) x.im)))))>
#<alt (+ (* -1 (pow x.im 3)) (* 2 x.im))>
#<alt (+ (* -1 (pow x.im 3)) (+ (* 2 x.im) (* x.im (* x.re (+ x.im (* -1 x.im))))))>
#<alt (+ (* -1 (pow x.im 3)) (+ (* 2 x.im) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im)))))))>
#<alt (+ (* -1 (pow x.im 3)) (+ (* 2 x.im) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im)))))))>
#<alt (* x.im (pow x.re 2))>
#<alt (* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 (/ x.im (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 (/ x.im (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))>
#<alt (* x.im (pow x.re 2))>
#<alt (* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))>
#<alt (* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (* -1 (/ (+ (* -1 (pow x.im 3)) (* 2 x.im)) x.re))) x.re))))>
#<alt (* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (* -1 (/ (+ (* -1 (pow x.im 3)) (* 2 x.im)) x.re))) x.re))))>
#<alt (* -1 (* x.im (pow x.re 4)))>
#<alt (* x.im (+ (* -1 (* x.im (+ (* -1 (pow x.re 3)) (pow x.re 3)))) (* -1 (pow x.re 4))))>
#<alt (* x.im (+ (* -1 (pow x.re 4)) (* x.im (+ (* -1 (* x.im (+ (* -1 (pow x.re 2)) (pow x.re 2)))) (* -1 (+ (* -1 (pow x.re 3)) (pow x.re 3)))))))>
#<alt (* x.im (+ (* -1 (pow x.re 4)) (* x.im (+ (* -1 (+ (* -1 (pow x.re 3)) (pow x.re 3))) (* x.im (+ (* -1 (* x.im (+ x.re (* -1 x.re)))) (* -1 (+ (* -1 (pow x.re 2)) (pow x.re 2)))))))))>
#<alt (pow x.im 5)>
#<alt (* (pow x.im 5) (+ 1 (* -1 (/ (+ x.re (* -1 x.re)) x.im))))>
#<alt (* (pow x.im 5) (+ 1 (+ (* -1 (/ (+ x.re (* -1 x.re)) x.im)) (* -1 (/ (+ (* -1 (pow x.re 2)) (pow x.re 2)) (pow x.im 2))))))>
#<alt (* (pow x.im 5) (+ 1 (+ (* -1 (/ (+ x.re (* -1 x.re)) x.im)) (+ (* -1 (/ (+ (* -1 (pow x.re 2)) (pow x.re 2)) (pow x.im 2))) (* -1 (/ (+ (* -1 (pow x.re 3)) (pow x.re 3)) (pow x.im 3)))))))>
#<alt (pow x.im 5)>
#<alt (* -1 (* (pow x.im 5) (- (* -1 (/ (+ x.re (* -1 x.re)) x.im)) 1)))>
#<alt (* -1 (* (pow x.im 5) (- (* -1 (/ (+ x.re (+ (* -1 x.re) (* -1 (/ (+ (* -1 (pow x.re 2)) (pow x.re 2)) x.im)))) x.im)) 1)))>
#<alt (* -1 (* (pow x.im 5) (- (* -1 (/ (+ x.re (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow x.re 3)) (pow x.re 3)) x.im)) (+ (* -1 (pow x.re 2)) (pow x.re 2))) x.im)))) x.im)) 1)))>
#<alt (pow x.im 5)>
#<alt (+ (* -1 (* x.im (* x.re (+ (* -1 (pow x.im 3)) (pow x.im 3))))) (pow x.im 5))>
#<alt (+ (* x.re (+ (* -1 (* x.im (* x.re (+ (* -1 (pow x.im 2)) (pow x.im 2))))) (* -1 (* x.im (+ (* -1 (pow x.im 3)) (pow x.im 3)))))) (pow x.im 5))>
#<alt (+ (* x.re (+ (* -1 (* x.im (+ (* -1 (pow x.im 3)) (pow x.im 3)))) (* x.re (+ (* -1 (* x.im (* x.re (+ x.im (* -1 x.im))))) (* -1 (* x.im (+ (* -1 (pow x.im 2)) (pow x.im 2)))))))) (pow x.im 5))>
#<alt (* -1 (* x.im (pow x.re 4)))>
#<alt (* (pow x.re 4) (+ (* -1 x.im) (* -1 (/ (* x.im (+ x.im (* -1 x.im))) x.re))))>
#<alt (* (pow x.re 4) (+ (* -1 x.im) (+ (* -1 (/ (* x.im (+ x.im (* -1 x.im))) x.re)) (* -1 (/ (* x.im (+ (* -1 (pow x.im 2)) (pow x.im 2))) (pow x.re 2))))))>
#<alt (* (pow x.re 4) (+ (* -1 x.im) (+ (* -1 (/ (* x.im (+ x.im (* -1 x.im))) x.re)) (+ (* -1 (/ (* x.im (+ (* -1 (pow x.im 2)) (pow x.im 2))) (pow x.re 2))) (* -1 (/ (* x.im (+ (* -1 (pow x.im 3)) (pow x.im 3))) (pow x.re 3)))))))>
#<alt (* -1 (* x.im (pow x.re 4)))>
#<alt (* (pow x.re 4) (+ (* -1 x.im) (* -1 (/ (* x.im (+ x.im (* -1 x.im))) x.re))))>
#<alt (* (pow x.re 4) (+ (* -1 x.im) (* -1 (/ (+ (* -1 (/ (* x.im (+ (* -1 (pow x.im 2)) (pow x.im 2))) x.re)) (* x.im (+ x.im (* -1 x.im)))) x.re))))>
#<alt (* (pow x.re 4) (+ (* -1 x.im) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* x.im (+ (* -1 (pow x.im 3)) (pow x.im 3))) x.re)) (* x.im (+ (* -1 (pow x.im 2)) (pow x.im 2)))) x.re)) (* x.im (+ x.im (* -1 x.im)))) x.re))))>
#<alt (/ -1 (pow x.im 2))>
#<alt (- (/ (pow x.re 2) (pow x.im 4)) (/ 1 (pow x.im 2)))>
#<alt (- (* (pow x.re 2) (+ (* -1 (/ (pow x.re 2) (pow x.im 6))) (/ 1 (pow x.im 4)))) (/ 1 (pow x.im 2)))>
#<alt (- (* (pow x.re 2) (+ (* (pow x.re 2) (- (/ (pow x.re 2) (pow x.im 8)) (/ 1 (pow x.im 6)))) (/ 1 (pow x.im 4)))) (/ 1 (pow x.im 2)))>
#<alt (/ -1 (pow x.re 2))>
#<alt (/ (- (/ (pow x.im 2) (pow x.re 2)) 1) (pow x.re 2))>
#<alt (/ (- (* -1 (/ (pow x.im 4) (pow x.re 4))) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) (pow x.re 2))>
#<alt (/ (- (/ (pow x.im 6) (pow x.re 6)) (+ 1 (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ (pow x.im 4) (pow x.re 4))))) (pow x.re 2))>
#<alt (/ -1 (pow x.re 2))>
#<alt (/ (- (/ (pow x.im 2) (pow x.re 2)) 1) (pow x.re 2))>
#<alt (/ (- (* -1 (/ (pow x.im 4) (pow x.re 4))) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) (pow x.re 2))>
#<alt (/ (- (/ (pow x.im 6) (pow x.re 6)) (+ 1 (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ (pow x.im 4) (pow x.re 4))))) (pow x.re 2))>
#<alt (/ -1 (pow x.re 2))>
#<alt (- (/ (pow x.im 2) (pow x.re 4)) (/ 1 (pow x.re 2)))>
#<alt (- (* (pow x.im 2) (+ (* -1 (/ (pow x.im 2) (pow x.re 6))) (/ 1 (pow x.re 4)))) (/ 1 (pow x.re 2)))>
#<alt (- (* (pow x.im 2) (+ (* (pow x.im 2) (- (/ (pow x.im 2) (pow x.re 8)) (/ 1 (pow x.re 6)))) (/ 1 (pow x.re 4)))) (/ 1 (pow x.re 2)))>
#<alt (/ -1 (pow x.im 2))>
#<alt (/ (- (/ (pow x.re 2) (pow x.im 2)) 1) (pow x.im 2))>
#<alt (/ (- (* -1 (/ (pow x.re 4) (pow x.im 4))) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))) (pow x.im 2))>
#<alt (/ (- (/ (pow x.re 6) (pow x.im 6)) (+ 1 (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 4) (pow x.im 4))))) (pow x.im 2))>
#<alt (/ -1 (pow x.im 2))>
#<alt (/ (- (/ (pow x.re 2) (pow x.im 2)) 1) (pow x.im 2))>
#<alt (/ (- (* -1 (/ (pow x.re 4) (pow x.im 4))) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))) (pow x.im 2))>
#<alt (/ (- (/ (pow x.re 6) (pow x.im 6)) (+ 1 (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 4) (pow x.im 4))))) (pow x.im 2))>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (* -1 x.im)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (pow x.im 2)>
#<alt (* x.im x.re)>
#<alt (* x.im (+ x.im x.re))>
#<alt (* x.im (+ x.im x.re))>
#<alt (* x.im (+ x.im x.re))>
#<alt (pow x.im 2)>
#<alt (* (pow x.im 2) (+ 1 (/ x.re x.im)))>
#<alt (* (pow x.im 2) (+ 1 (/ x.re x.im)))>
#<alt (* (pow x.im 2) (+ 1 (/ x.re x.im)))>
#<alt (pow x.im 2)>
#<alt (* (pow x.im 2) (+ 1 (/ x.re x.im)))>
#<alt (* (pow x.im 2) (+ 1 (/ x.re x.im)))>
#<alt (* (pow x.im 2) (+ 1 (/ x.re x.im)))>
#<alt (pow x.im 2)>
#<alt (+ (* x.im x.re) (pow x.im 2))>
#<alt (+ (* x.im x.re) (pow x.im 2))>
#<alt (+ (* x.im x.re) (pow x.im 2))>
#<alt (* x.im x.re)>
#<alt (* x.re (+ x.im (/ (pow x.im 2) x.re)))>
#<alt (* x.re (+ x.im (/ (pow x.im 2) x.re)))>
#<alt (* x.re (+ x.im (/ (pow x.im 2) x.re)))>
#<alt (* x.im x.re)>
#<alt (* -1 (* x.re (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))))>
#<alt (* -1 (* x.re (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))))>
#<alt (* -1 (* x.re (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))))>
#<alt (pow x.im 3)>
#<alt (+ (* (pow x.im 2) x.re) (pow x.im 3))>
#<alt (+ (* x.re (+ (* x.im x.re) (pow x.im 2))) (pow x.im 3))>
#<alt (+ (* x.re (+ (* x.re (+ x.im x.re)) (pow x.im 2))) (pow x.im 3))>
#<alt (pow x.re 3)>
#<alt (* (pow x.re 3) (+ 1 (/ x.im x.re)))>
#<alt (* (pow x.re 3) (+ 1 (+ (/ x.im x.re) (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 3) (+ 1 (+ (/ x.im x.re) (+ (/ (pow x.im 2) (pow x.re 2)) (/ (pow x.im 3) (pow x.re 3))))))>
#<alt (pow x.re 3)>
#<alt (* -1 (* (pow x.re 3) (- (* -1 (/ x.im x.re)) 1)))>
#<alt (* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (/ (pow x.im 2) x.re)) x.re)) 1)))>
#<alt (* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 (/ (+ (* -1 (/ (pow x.im 3) x.re)) (* -1 (pow x.im 2))) x.re))) x.re)) 1)))>
#<alt (pow x.re 3)>
#<alt (+ (* x.im (pow x.re 2)) (pow x.re 3))>
#<alt (+ (* x.im (+ (* x.im x.re) (pow x.re 2))) (pow x.re 3))>
#<alt (+ (* x.im (+ (* x.im (+ x.im x.re)) (pow x.re 2))) (pow x.re 3))>
#<alt (pow x.im 3)>
#<alt (* (pow x.im 3) (+ 1 (/ x.re x.im)))>
#<alt (* (pow x.im 3) (+ 1 (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))))>
#<alt (* (pow x.im 3) (+ 1 (+ (/ x.re x.im) (+ (/ (pow x.re 2) (pow x.im 2)) (/ (pow x.re 3) (pow x.im 3))))))>
#<alt (pow x.im 3)>
#<alt (* -1 (* (pow x.im 3) (- (* -1 (/ x.re x.im)) 1)))>
#<alt (* -1 (* (pow x.im 3) (- (* -1 (/ (+ x.re (/ (pow x.re 2) x.im)) x.im)) 1)))>
#<alt (* -1 (* (pow x.im 3) (- (* -1 (/ (+ x.re (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* -1 (pow x.re 2))) x.im))) x.im)) 1)))>

Calls

105 calls:

Time	Variable		Point	Expression
5.0ms	x.im	@	0	(* x.im (+ x.re x.im))
2.0ms	x.re	@	-inf	(* x.im (+ (* (* x.re x.re) 3) (neg (* x.im x.im))))
1.0ms	x.im	@	0	(/ 1 (+ (* (- x.re x.im) (* x.im (+ x.re x.im))) (+ x.im x.im)))
1.0ms	x.re	@	0	(/ 1 (+ (* (- x.re x.im) (* x.im (+ x.re x.im))) (+ x.im x.im)))
1.0ms	x.re	@	inf	(/ 1 (+ (* (- x.re x.im) (* x.im (+ x.re x.im))) (+ x.im x.im)))

rewrite462.0ms (3.4%)

Memory

-41.8MiB live, 786.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 700×	`lower-fma.f32`
5 690×	`lower-fma.f64`
4 794×	`lower-*.f32`
4 774×	`lower-*.f64`
4 056×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	179
0	59	167
1	254	137
2	2188	137
0	8224	136

Stop Event

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

Counts

20 → 1 215

Calls

Call 1

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

Outputs
(+.f64 (.f64 x.im (.f64 x.re (.f64 x.re #s(literal 3 binary64)))) (neg.f64 (.f64 x.im (*.f64 x.im x.im))))
(+.f64 (neg.f64 (.f64 x.im (.f64 x.im x.im))) (.f64 x.im (.f64 x.re (*.f64 x.re #s(literal 3 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 x.im (.f64 x.re (.f64 x.re #s(literal 3 binary64)))) (.f64 x.im (.f64 x.re (.f64 x.re #s(literal 3 binary64))))) (-.f64 (.f64 x.im (.f64 x.re (.f64 x.re #s(literal 3 binary64)))) (neg.f64 (.f64 x.im (.f64 x.im x.im))))) (/.f64 (.f64 (.f64 x.im x.im) (.f64 x.im (.f64 x.im (.f64 x.im x.im)))) (-.f64 (.f64 x.im (.f64 x.re (.f64 x.re #s(literal 3 binary64)))) (neg.f64 (.f64 x.im (.f64 x.im x.im))))))
(fma.f64 x.im (.f64 x.im (neg.f64 x.im)) (.f64 x.im (.f64 x.re (.f64 x.re #s(literal 3 binary64)))))
(fma.f64 x.im (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (neg.f64 (.f64 x.im (.f64 x.im x.im))))
(fma.f64 x.re (.f64 x.re (.f64 x.im #s(literal 3 binary64))) (neg.f64 (.f64 x.im (.f64 x.im x.im))))
(fma.f64 x.re (.f64 (.f64 x.re #s(literal 3 binary64)) x.im) (neg.f64 (.f64 x.im (.f64 x.im x.im))))
(fma.f64 (.f64 x.re x.re) (.f64 x.im #s(literal 3 binary64)) (neg.f64 (.f64 x.im (.f64 x.im x.im))))
(fma.f64 #s(literal 3 binary64) (.f64 x.im (.f64 x.re x.re)) (neg.f64 (.f64 x.im (.f64 x.im x.im))))
(fma.f64 (.f64 x.im x.im) (neg.f64 x.im) (.f64 x.im (.f64 x.re (.f64 x.re #s(literal 3 binary64)))))
(fma.f64 (.f64 x.im (neg.f64 x.im)) x.im (.f64 x.im (.f64 x.re (.f64 x.re #s(literal 3 binary64)))))
(fma.f64 (.f64 x.im (.f64 x.re x.re)) #s(literal 3 binary64) (neg.f64 (.f64 x.im (.f64 x.im x.im))))
(fma.f64 (neg.f64 x.im) (.f64 x.im x.im) (.f64 x.im (.f64 x.re (.f64 x.re #s(literal 3 binary64)))))
(fma.f64 (.f64 x.im #s(literal 3 binary64)) (.f64 x.re x.re) (neg.f64 (.f64 x.im (.f64 x.im x.im))))
(fma.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) x.im (neg.f64 (.f64 x.im (.f64 x.im x.im))))
(fma.f64 #s(literal -1 binary64) (.f64 x.im (.f64 x.im x.im)) (.f64 x.im (.f64 x.re (*.f64 x.re #s(literal 3 binary64)))))
(fma.f64 (.f64 x.im (.f64 x.im x.im)) #s(literal -1 binary64) (.f64 x.im (.f64 x.re (*.f64 x.re #s(literal 3 binary64)))))
(fma.f64 (.f64 x.im x.re) (.f64 x.re #s(literal 3 binary64)) (neg.f64 (.f64 x.im (.f64 x.im x.im))))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x.im #s(literal 3 binary64))) (/.f64 (.f64 x.re x.re) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x.im x.im) #s(literal 9 binary64)))) (neg.f64 (.f64 x.im (.f64 x.im x.im))))
(fma.f64 (.f64 x.re (.f64 x.im #s(literal 3 binary64))) x.re (neg.f64 (.f64 x.im (.f64 x.im x.im))))
(fma.f64 (.f64 #s(literal 3 binary64) (.f64 x.im x.re)) x.re (neg.f64 (.f64 x.im (.f64 x.im x.im))))
(fma.f64 (/.f64 (.f64 (.f64 x.im x.im) #s(literal 9 binary64)) #s(literal 3 binary64)) (/.f64 (.f64 x.re x.re) x.im) (neg.f64 (.f64 x.im (*.f64 x.im x.im))))
(fma.f64 (/.f64 (.f64 (.f64 x.im x.im) #s(literal 9 binary64)) x.im) (/.f64 (.f64 x.re x.re) #s(literal 3 binary64)) (neg.f64 (.f64 x.im (*.f64 x.im x.im))))
(fma.f64 (/.f64 (.f64 (.f64 x.im (.f64 x.im x.im)) #s(literal 27 binary64)) #s(literal 9 binary64)) (/.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (neg.f64 (.f64 x.im (*.f64 x.im x.im))))
(fma.f64 (/.f64 (.f64 (.f64 x.im (.f64 x.im x.im)) #s(literal 27 binary64)) (.f64 x.im #s(literal 3 binary64))) (/.f64 (.f64 x.re x.re) (.f64 x.im #s(literal 3 binary64))) (neg.f64 (.f64 x.im (.f64 x.im x.im))))
(fma.f64 (/.f64 (.f64 (.f64 x.im (.f64 x.im x.im)) #s(literal 27 binary64)) (.f64 x.im x.im)) (/.f64 (.f64 x.re x.re) #s(literal 9 binary64)) (neg.f64 (.f64 x.im (*.f64 x.im x.im))))
(fma.f64 (/.f64 (.f64 (.f64 x.im (.f64 x.im x.im)) #s(literal 27 binary64)) #s(literal 3 binary64)) (/.f64 (.f64 x.re x.re) (.f64 x.im (.f64 x.im #s(literal 3 binary64)))) (neg.f64 (.f64 x.im (.f64 x.im x.im))))
(fma.f64 (/.f64 (.f64 (.f64 x.im (.f64 x.im x.im)) #s(literal 27 binary64)) x.im) (/.f64 (.f64 x.re x.re) (.f64 #s(literal 3 binary64) (.f64 x.im #s(literal 3 binary64)))) (neg.f64 (.f64 x.im (.f64 x.im x.im))))
(fma.f64 (/.f64 (.f64 x.re x.re) x.im) (/.f64 (.f64 (.f64 x.im x.im) #s(literal 9 binary64)) #s(literal 3 binary64)) (neg.f64 (.f64 x.im (*.f64 x.im x.im))))
(fma.f64 (/.f64 (.f64 x.re x.re) x.im) (/.f64 (.f64 (.f64 x.im (.f64 x.im x.im)) #s(literal 27 binary64)) (.f64 #s(literal 3 binary64) (.f64 x.im #s(literal 3 binary64)))) (neg.f64 (.f64 x.im (.f64 x.im x.im))))
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(.f64 (/.f64 (+.f64 x.im x.re) (/.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) (fma.f64 x.re (.f64 x.re x.re) (.f64 x.im (.f64 x.im x.im))))) (/.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (-.f64 x.re x.im)) (fma.f64 x.im (-.f64 x.im x.re) (.f64 x.re x.re))))
(.f64 (/.f64 (+.f64 x.im x.re) (+.f64 x.im x.re)) (.f64 (+.f64 x.im x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))))
(.f64 (/.f64 (.f64 (+.f64 x.im x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) (/.f64 (-.f64 x.re x.im) (/.f64 #s(literal 1 binary64) (+.f64 x.im x.re))))
(.f64 (/.f64 (.f64 (+.f64 x.im x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) (/.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)))) (/.f64 (-.f64 x.re x.im) (-.f64 x.re x.im)))
(.f64 (/.f64 (.f64 (-.f64 x.re x.im) (.f64 (+.f64 x.im x.re) (fma.f64 x.im x.im (.f64 x.re x.re)))) (+.f64 x.im x.re)) (/.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)))
(.f64 (/.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) (/.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) (/.f64 #s(literal 1 binary64) (+.f64 x.im x.re))))
(.f64 (/.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (fma.f64 x.im (+.f64 x.im x.re) (.f64 x.re x.re)) (-.f64 x.re x.im))) (/.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) (/.f64 #s(literal 1 binary64) (fma.f64 x.im (+.f64 x.im x.re) (.f64 x.re x.re)))))
(.f64 (/.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (/.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)))) (+.f64 x.im x.re))
(.f64 (/.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (/.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) (fma.f64 x.re (.f64 x.re x.re) (.f64 x.im (.f64 x.im x.im))))) (/.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) (fma.f64 x.im (-.f64 x.im x.re) (.f64 x.re x.re))))
(.f64 (/.f64 (.f64 (+.f64 x.im x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) (.f64 (fma.f64 x.im (+.f64 x.im x.re) (.f64 x.re x.re)) (-.f64 x.re x.im))) (/.f64 (-.f64 x.re x.im) (/.f64 #s(literal 1 binary64) (fma.f64 x.im (+.f64 x.im x.re) (.f64 x.re x.re)))))
(.f64 (/.f64 (.f64 (+.f64 x.im x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) (/.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) (fma.f64 x.re (.f64 x.re x.re) (.f64 x.im (.f64 x.im x.im))))) (/.f64 (-.f64 x.re x.im) (fma.f64 x.im (-.f64 x.im x.re) (.f64 x.re x.re))))
(.f64 (/.f64 (.f64 (-.f64 x.re x.im) (fma.f64 x.im x.im (.f64 x.re x.re))) (.f64 (fma.f64 x.im (+.f64 x.im x.re) (.f64 x.re x.re)) (-.f64 x.re x.im))) (/.f64 (+.f64 x.im x.re) (/.f64 #s(literal 1 binary64) (fma.f64 x.im (+.f64 x.im x.re) (.f64 x.re x.re)))))
(.f64 (/.f64 (.f64 (-.f64 x.re x.im) (fma.f64 x.im x.im (.f64 x.re x.re))) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) (/.f64 (+.f64 x.im x.re) (/.f64 #s(literal 1 binary64) (+.f64 x.im x.re))))
(.f64 (/.f64 (.f64 (-.f64 x.re x.im) (fma.f64 x.im x.im (.f64 x.re x.re))) (/.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)))) (/.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)))
(.f64 (/.f64 (.f64 (-.f64 x.re x.im) (fma.f64 x.im x.im (.f64 x.re x.re))) (/.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) (fma.f64 x.re (.f64 x.re x.re) (.f64 x.im (.f64 x.im x.im))))) (/.f64 (+.f64 x.im x.re) (fma.f64 x.im (-.f64 x.im x.re) (.f64 x.re x.re))))

simplify330.0ms (2.4%)

Memory

20.8MiB live, 411.8MiB allocated

Algorithm

1×	egg-herbie

Rules

7 632×	`lower-fma.f64`
7 632×	`lower-fma.f32`
3 510×	`lower-*.f64`
3 510×	`lower-*.f32`
2 336×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	577	4564
1	1939	3832
2	7972	3788
0	8444	3675

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 417

Calls

Call 1

Inputs
(* 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 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))
(* -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)) (* 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))))
(* 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 (* 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)))
(* -1 (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))
(* 3 (pow x.re 2))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* 3 (pow x.re 2))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* 3 (pow x.re 2))
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(* -1 (pow x.im 2))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* -1 (pow x.im 2))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(* -1 (pow x.im 2))
(* -1 (pow x.im 2))
(* -1 (pow x.im 2))
(* -1 (pow x.im 2))
(* -1 (pow x.im 2))
(* -1 (pow x.im 2))
(* -1 (pow x.im 2))
(* -1 (pow x.im 2))
(* -1 (pow x.im 2))
(* -1 (pow x.im 2))
(* -1 (pow x.im 2))
(* -1 (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 (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 (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 (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 (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 (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 (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 (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 (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))
0
0
0
0
0
0
0
0
0
0
0
0
(* 3 x.im)
(* 3 x.im)
(* 3 x.im)
(* 3 x.im)
(* 3 x.im)
(* 3 x.im)
(* 3 x.im)
(* 3 x.im)
(* 3 x.im)
(* 3 x.im)
(* 3 x.im)
(* 3 x.im)
(* 3 x.im)
(* 3 x.im)
(* 3 x.im)
(* 3 x.im)
(* 3 x.im)
(* 3 x.im)
(* 3 x.im)
(* 3 x.im)
(* 3 x.im)
(* 3 x.im)
(* 3 x.im)
(* 3 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 (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 (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 (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 (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)))
(+ (* -1 (pow x.im 3)) (* 2 x.im))
(+ (* -1 (pow x.im 3)) (+ (* 2 x.im) (* x.im (* x.re (+ x.im (* -1 x.im))))))
(+ (* -1 (pow x.im 3)) (+ (* 2 x.im) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im)))))))
(+ (* -1 (pow x.im 3)) (+ (* 2 x.im) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 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 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 (/ x.im (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))) (+ (* 2 (/ x.im (pow x.re 2))) (/ (* 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 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (* -1 (/ (+ (* -1 (pow x.im 3)) (* 2 x.im)) x.re))) x.re))))
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (* -1 (/ (+ (* -1 (pow x.im 3)) (* 2 x.im)) x.re))) x.re))))
(* x.im (+ 2 (pow x.re 2)))
(* x.im (+ 2 (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))))
(* x.im (+ 2 (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(* x.im (+ 2 (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(* -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.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.im 2)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 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 (/ (- (* -1 (pow x.re 2)) 2) x.im))) x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (- (* -1 (pow x.re 2)) 2) x.im))) x.im)))))
(+ (* -1 (pow x.im 3)) (* 2 x.im))
(+ (* -1 (pow x.im 3)) (+ (* 2 x.im) (* x.im (* x.re (+ x.im (* -1 x.im))))))
(+ (* -1 (pow x.im 3)) (+ (* 2 x.im) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im)))))))
(+ (* -1 (pow x.im 3)) (+ (* 2 x.im) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 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 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 (/ x.im (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))) (+ (* 2 (/ x.im (pow x.re 2))) (/ (* 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 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (* -1 (/ (+ (* -1 (pow x.im 3)) (* 2 x.im)) x.re))) x.re))))
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (* -1 (/ (+ (* -1 (pow x.im 3)) (* 2 x.im)) x.re))) x.re))))
(* x.im (+ 2 (pow x.re 2)))
(* x.im (+ 2 (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))))
(* x.im (+ 2 (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(* x.im (+ 2 (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(* -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.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.im 2)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 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 (/ (- (* -1 (pow x.re 2)) 2) x.im))) x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (- (* -1 (pow x.re 2)) 2) x.im))) x.im)))))
(/ 1 (+ (* -1 (pow x.im 3)) (* 2 x.im)))
(+ (* -1 (/ (* x.im (* x.re (+ x.im (* -1 x.im)))) (pow (+ (* -1 (pow x.im 3)) (* 2 x.im)) 2))) (/ 1 (+ (* -1 (pow x.im 3)) (* 2 x.im))))
(+ (* x.re (- (* -1 (* x.re (+ (* -1 (/ (* (pow x.im 2) (pow (+ x.im (* -1 x.im)) 2)) (pow (+ (* -1 (pow x.im 3)) (* 2 x.im)) 3))) (/ x.im (pow (+ (* -1 (pow x.im 3)) (* 2 x.im)) 2))))) (/ (* x.im (+ x.im (* -1 x.im))) (pow (+ (* -1 (pow x.im 3)) (* 2 x.im)) 2)))) (/ 1 (+ (* -1 (pow x.im 3)) (* 2 x.im))))
(+ (* x.re (- (* x.re (- (* -1 (* x.re (+ (* -1 (/ (* x.im (* (+ x.im (* -1 x.im)) (+ (* -1 (/ (* (pow x.im 2) (pow (+ x.im (* -1 x.im)) 2)) (pow (+ (* -1 (pow x.im 3)) (* 2 x.im)) 3))) (/ x.im (pow (+ (* -1 (pow x.im 3)) (* 2 x.im)) 2))))) (+ (* -1 (pow x.im 3)) (* 2 x.im)))) (* -1 (/ (* (pow x.im 2) (+ x.im (* -1 x.im))) (pow (+ (* -1 (pow x.im 3)) (* 2 x.im)) 3)))))) (+ (* -1 (/ (* (pow x.im 2) (pow (+ x.im (* -1 x.im)) 2)) (pow (+ (* -1 (pow x.im 3)) (* 2 x.im)) 3))) (/ x.im (pow (+ (* -1 (pow x.im 3)) (* 2 x.im)) 2))))) (/ (* x.im (+ x.im (* -1 x.im))) (pow (+ (* -1 (pow x.im 3)) (* 2 x.im)) 2)))) (/ 1 (+ (* -1 (pow x.im 3)) (* 2 x.im))))
(/ 1 (* x.im (pow x.re 2)))
(/ (+ (* -1 (/ (+ (* -1 x.im) (* 2 (/ 1 x.im))) (pow x.re 2))) (/ 1 x.im)) (pow x.re 2))
(/ (- (+ (/ 1 x.im) (/ (* (+ x.im (* -1 x.im)) (+ (* -1 x.im) (* 2 (/ 1 x.im)))) (pow x.re 3))) (+ (* -1 (/ x.im (pow x.re 2))) (/ 2 (* x.im (pow x.re 2))))) (pow x.re 2))
(/ (- (+ (* -1 (/ (+ (* -1 (/ (* (+ (* -1 x.im) (* 2 (/ 1 x.im))) (+ (* -1 (pow x.im 3)) (* 2 x.im))) x.im)) (* (pow (+ x.im (* -1 x.im)) 2) (+ (* -1 x.im) (* 2 (/ 1 x.im))))) (pow x.re 4))) (/ 1 x.im)) (+ (* -1 (/ x.im (pow x.re 2))) (+ (* -1 (/ (* (+ x.im (* -1 x.im)) (+ (* -1 x.im) (* 2 (/ 1 x.im)))) (pow x.re 3))) (/ 2 (* x.im (pow x.re 2)))))) (pow x.re 2))
(/ 1 (* x.im (pow x.re 2)))
(/ (+ (* -1 (/ (+ x.im (* -1 x.im)) (* x.im x.re))) (/ 1 x.im)) (pow x.re 2))
(/ (+ (* -1 (/ (- (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow (+ x.im (* -1 x.im)) 2) (* x.im x.re))) (/ 2 (* x.im x.re)))) (* -1 (/ (+ x.im (* -1 x.im)) x.im))) x.re)) (/ 1 x.im)) (pow x.re 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ x.im (* -1 x.im)) (+ (* -1 x.im) (+ (* -1 (/ (pow (+ x.im (* -1 x.im)) 2) x.im)) (* 2 (/ 1 x.im))))) x.re) (/ (* (+ x.im (* -1 x.im)) (+ (* -1 (pow x.im 3)) (* 2 x.im))) (* (pow x.im 2) x.re))) (+ (* -1 x.im) (+ (* -1 (/ (pow (+ x.im (* -1 x.im)) 2) x.im)) (* 2 (/ 1 x.im))))) x.re)) (* -1 (/ (+ x.im (* -1 x.im)) x.im))) x.re)) (/ 1 x.im)) (pow x.re 2))
(/ 1 (* x.im (+ 2 (pow x.re 2))))
(/ (+ (* -1 (* x.im (+ (* -1 (/ x.re (pow (+ 2 (pow x.re 2)) 2))) (/ x.re (pow (+ 2 (pow x.re 2)) 2))))) (/ 1 (+ 2 (pow x.re 2)))) x.im)
(/ (+ (* x.im (- (* x.im (- (/ 1 (pow (+ 2 (pow x.re 2)) 2)) (* -1 (/ (* (+ x.re (* -1 x.re)) (+ (* -1 (/ x.re (pow (+ 2 (pow x.re 2)) 2))) (/ x.re (pow (+ 2 (pow x.re 2)) 2)))) (+ 2 (pow x.re 2)))))) (+ (* -1 (/ x.re (pow (+ 2 (pow x.re 2)) 2))) (/ x.re (pow (+ 2 (pow x.re 2)) 2))))) (/ 1 (+ 2 (pow x.re 2)))) x.im)
(/ (+ (* x.im (- (* x.im (- (+ (* -1 (* x.im (+ (* -1 (/ x.re (pow (+ 2 (pow x.re 2)) 3))) (+ (/ x.re (pow (+ 2 (pow x.re 2)) 3)) (/ (* (+ x.re (* -1 x.re)) (- (/ 1 (pow (+ 2 (pow x.re 2)) 2)) (* -1 (/ (* (+ x.re (* -1 x.re)) (+ (* -1 (/ x.re (pow (+ 2 (pow x.re 2)) 2))) (/ x.re (pow (+ 2 (pow x.re 2)) 2)))) (+ 2 (pow x.re 2)))))) (+ 2 (pow x.re 2))))))) (/ 1 (pow (+ 2 (pow x.re 2)) 2))) (* -1 (/ (* (+ x.re (* -1 x.re)) (+ (* -1 (/ x.re (pow (+ 2 (pow x.re 2)) 2))) (/ x.re (pow (+ 2 (pow x.re 2)) 2)))) (+ 2 (pow x.re 2)))))) (+ (* -1 (/ x.re (pow (+ 2 (pow x.re 2)) 2))) (/ x.re (pow (+ 2 (pow x.re 2)) 2))))) (/ 1 (+ 2 (pow x.re 2)))) x.im)
(/ -1 (pow x.im 3))
(/ (- (* -1 (/ (+ x.re (* -1 x.re)) x.im)) 1) (pow x.im 3))
(/ (- (* -1 (/ (+ 2 (+ (pow x.re 2) (pow (+ x.re (* -1 x.re)) 2))) (pow x.im 2))) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))) (pow x.im 3))
(/ (- (* -1 (/ (+ (* (+ 2 (+ (pow x.re 2) (pow (+ x.re (* -1 x.re)) 2))) (+ x.re (* -1 x.re))) (* (+ 2 (pow x.re 2)) (+ x.re (* -1 x.re)))) (pow x.im 3))) (+ 1 (+ (* -1 (/ x.re x.im)) (+ (/ 2 (pow x.im 2)) (+ (/ x.re x.im) (+ (/ (pow x.re 2) (pow x.im 2)) (/ (pow (+ x.re (* -1 x.re)) 2) (pow x.im 2)))))))) (pow x.im 3))
(/ -1 (pow x.im 3))
(* -1 (/ (+ 1 (* -1 (/ (+ x.re (* -1 x.re)) x.im))) (pow x.im 3)))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- 2 (+ (* -1 (pow x.re 2)) (* -1 (pow (+ x.re (* -1 x.re)) 2)))) x.im)) (* -1 (+ x.re (* -1 x.re)))) x.im))) (pow x.im 3)))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ 2 (+ (* -1 (/ (* (+ x.re (* -1 x.re)) (- 2 (+ (* -1 (pow x.re 2)) (* -1 (pow (+ x.re (* -1 x.re)) 2))))) x.im)) (/ (* (+ x.re (* -1 x.re)) (- (* -1 (pow x.re 2)) 2)) x.im))) (+ (* -1 (pow x.re 2)) (* -1 (pow (+ x.re (* -1 x.re)) 2)))) x.im)) (* -1 (+ x.re (* -1 x.re)))) x.im))) (pow x.im 3)))
(* -1 x.im)
(- x.re x.im)
(- x.re x.im)
(- x.re x.im)
x.re
(* x.re (+ 1 (* -1 (/ x.im x.re))))
(* x.re (+ 1 (* -1 (/ x.im x.re))))
(* x.re (+ 1 (* -1 (/ x.im x.re))))
x.re
(* -1 (* x.re (- (/ x.im x.re) 1)))
(* -1 (* x.re (- (/ x.im x.re) 1)))
(* -1 (* x.re (- (/ x.im x.re) 1)))
x.re
(+ x.re (* -1 x.im))
(+ x.re (* -1 x.im))
(+ x.re (* -1 x.im))
(* -1 x.im)
(* x.im (- (/ x.re x.im) 1))
(* x.im (- (/ x.re x.im) 1))
(* x.im (- (/ x.re x.im) 1))
(* -1 x.im)
(* -1 (* x.im (+ 1 (* -1 (/ x.re x.im)))))
(* -1 (* x.im (+ 1 (* -1 (/ x.re x.im)))))
(* -1 (* x.im (+ 1 (* -1 (/ x.re x.im)))))
(* x.im (+ 2 (pow x.re 2)))
(* x.im (+ 2 (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))))
(* x.im (+ 2 (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(* x.im (+ 2 (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(* -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.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.im 2)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 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 (/ (- (* -1 (pow x.re 2)) 2) x.im))) x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (- (* -1 (pow x.re 2)) 2) x.im))) x.im)))))
(+ (* -1 (pow x.im 3)) (* 2 x.im))
(+ (* -1 (pow x.im 3)) (+ (* 2 x.im) (* x.im (* x.re (+ x.im (* -1 x.im))))))
(+ (* -1 (pow x.im 3)) (+ (* 2 x.im) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im)))))))
(+ (* -1 (pow x.im 3)) (+ (* 2 x.im) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 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 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 (/ x.im (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))) (+ (* 2 (/ x.im (pow x.re 2))) (/ (* 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 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (* -1 (/ (+ (* -1 (pow x.im 3)) (* 2 x.im)) x.re))) x.re))))
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (* -1 (/ (+ (* -1 (pow x.im 3)) (* 2 x.im)) x.re))) x.re))))
(* -1 (* x.im (pow x.re 4)))
(* x.im (+ (* -1 (* x.im (+ (* -1 (pow x.re 3)) (pow x.re 3)))) (* -1 (pow x.re 4))))
(* x.im (+ (* -1 (pow x.re 4)) (* x.im (+ (* -1 (* x.im (+ (* -1 (pow x.re 2)) (pow x.re 2)))) (* -1 (+ (* -1 (pow x.re 3)) (pow x.re 3)))))))
(* x.im (+ (* -1 (pow x.re 4)) (* x.im (+ (* -1 (+ (* -1 (pow x.re 3)) (pow x.re 3))) (* x.im (+ (* -1 (* x.im (+ x.re (* -1 x.re)))) (* -1 (+ (* -1 (pow x.re 2)) (pow x.re 2)))))))))
(pow x.im 5)
(* (pow x.im 5) (+ 1 (* -1 (/ (+ x.re (* -1 x.re)) x.im))))
(* (pow x.im 5) (+ 1 (+ (* -1 (/ (+ x.re (* -1 x.re)) x.im)) (* -1 (/ (+ (* -1 (pow x.re 2)) (pow x.re 2)) (pow x.im 2))))))
(* (pow x.im 5) (+ 1 (+ (* -1 (/ (+ x.re (* -1 x.re)) x.im)) (+ (* -1 (/ (+ (* -1 (pow x.re 2)) (pow x.re 2)) (pow x.im 2))) (* -1 (/ (+ (* -1 (pow x.re 3)) (pow x.re 3)) (pow x.im 3)))))))
(pow x.im 5)
(* -1 (* (pow x.im 5) (- (* -1 (/ (+ x.re (* -1 x.re)) x.im)) 1)))
(* -1 (* (pow x.im 5) (- (* -1 (/ (+ x.re (+ (* -1 x.re) (* -1 (/ (+ (* -1 (pow x.re 2)) (pow x.re 2)) x.im)))) x.im)) 1)))
(* -1 (* (pow x.im 5) (- (* -1 (/ (+ x.re (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow x.re 3)) (pow x.re 3)) x.im)) (+ (* -1 (pow x.re 2)) (pow x.re 2))) x.im)))) x.im)) 1)))
(pow x.im 5)
(+ (* -1 (* x.im (* x.re (+ (* -1 (pow x.im 3)) (pow x.im 3))))) (pow x.im 5))
(+ (* x.re (+ (* -1 (* x.im (* x.re (+ (* -1 (pow x.im 2)) (pow x.im 2))))) (* -1 (* x.im (+ (* -1 (pow x.im 3)) (pow x.im 3)))))) (pow x.im 5))
(+ (* x.re (+ (* -1 (* x.im (+ (* -1 (pow x.im 3)) (pow x.im 3)))) (* x.re (+ (* -1 (* x.im (* x.re (+ x.im (* -1 x.im))))) (* -1 (* x.im (+ (* -1 (pow x.im 2)) (pow x.im 2)))))))) (pow x.im 5))
(* -1 (* x.im (pow x.re 4)))
(* (pow x.re 4) (+ (* -1 x.im) (* -1 (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(* (pow x.re 4) (+ (* -1 x.im) (+ (* -1 (/ (* x.im (+ x.im (* -1 x.im))) x.re)) (* -1 (/ (* x.im (+ (* -1 (pow x.im 2)) (pow x.im 2))) (pow x.re 2))))))
(* (pow x.re 4) (+ (* -1 x.im) (+ (* -1 (/ (* x.im (+ x.im (* -1 x.im))) x.re)) (+ (* -1 (/ (* x.im (+ (* -1 (pow x.im 2)) (pow x.im 2))) (pow x.re 2))) (* -1 (/ (* x.im (+ (* -1 (pow x.im 3)) (pow x.im 3))) (pow x.re 3)))))))
(* -1 (* x.im (pow x.re 4)))
(* (pow x.re 4) (+ (* -1 x.im) (* -1 (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(* (pow x.re 4) (+ (* -1 x.im) (* -1 (/ (+ (* -1 (/ (* x.im (+ (* -1 (pow x.im 2)) (pow x.im 2))) x.re)) (* x.im (+ x.im (* -1 x.im)))) x.re))))
(* (pow x.re 4) (+ (* -1 x.im) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* x.im (+ (* -1 (pow x.im 3)) (pow x.im 3))) x.re)) (* x.im (+ (* -1 (pow x.im 2)) (pow x.im 2)))) x.re)) (* x.im (+ x.im (* -1 x.im)))) x.re))))
(/ -1 (pow x.im 2))
(- (/ (pow x.re 2) (pow x.im 4)) (/ 1 (pow x.im 2)))
(- (* (pow x.re 2) (+ (* -1 (/ (pow x.re 2) (pow x.im 6))) (/ 1 (pow x.im 4)))) (/ 1 (pow x.im 2)))
(- (* (pow x.re 2) (+ (* (pow x.re 2) (- (/ (pow x.re 2) (pow x.im 8)) (/ 1 (pow x.im 6)))) (/ 1 (pow x.im 4)))) (/ 1 (pow x.im 2)))
(/ -1 (pow x.re 2))
(/ (- (/ (pow x.im 2) (pow x.re 2)) 1) (pow x.re 2))
(/ (- (* -1 (/ (pow x.im 4) (pow x.re 4))) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) (pow x.re 2))
(/ (- (/ (pow x.im 6) (pow x.re 6)) (+ 1 (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ (pow x.im 4) (pow x.re 4))))) (pow x.re 2))
(/ -1 (pow x.re 2))
(/ (- (/ (pow x.im 2) (pow x.re 2)) 1) (pow x.re 2))
(/ (- (* -1 (/ (pow x.im 4) (pow x.re 4))) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) (pow x.re 2))
(/ (- (/ (pow x.im 6) (pow x.re 6)) (+ 1 (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ (pow x.im 4) (pow x.re 4))))) (pow x.re 2))
(/ -1 (pow x.re 2))
(- (/ (pow x.im 2) (pow x.re 4)) (/ 1 (pow x.re 2)))
(- (* (pow x.im 2) (+ (* -1 (/ (pow x.im 2) (pow x.re 6))) (/ 1 (pow x.re 4)))) (/ 1 (pow x.re 2)))
(- (* (pow x.im 2) (+ (* (pow x.im 2) (- (/ (pow x.im 2) (pow x.re 8)) (/ 1 (pow x.re 6)))) (/ 1 (pow x.re 4)))) (/ 1 (pow x.re 2)))
(/ -1 (pow x.im 2))
(/ (- (/ (pow x.re 2) (pow x.im 2)) 1) (pow x.im 2))
(/ (- (* -1 (/ (pow x.re 4) (pow x.im 4))) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))) (pow x.im 2))
(/ (- (/ (pow x.re 6) (pow x.im 6)) (+ 1 (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 4) (pow x.im 4))))) (pow x.im 2))
(/ -1 (pow x.im 2))
(/ (- (/ (pow x.re 2) (pow x.im 2)) 1) (pow x.im 2))
(/ (- (* -1 (/ (pow x.re 4) (pow x.im 4))) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))) (pow x.im 2))
(/ (- (/ (pow x.re 6) (pow x.im 6)) (+ 1 (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 4) (pow x.im 4))))) (pow x.im 2))
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(* -1 x.im)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(pow x.im 2)
(* x.im x.re)
(* x.im (+ x.im x.re))
(* x.im (+ x.im x.re))
(* x.im (+ x.im x.re))
(pow x.im 2)
(* (pow x.im 2) (+ 1 (/ x.re x.im)))
(* (pow x.im 2) (+ 1 (/ x.re x.im)))
(* (pow x.im 2) (+ 1 (/ x.re x.im)))
(pow x.im 2)
(* (pow x.im 2) (+ 1 (/ x.re x.im)))
(* (pow x.im 2) (+ 1 (/ x.re x.im)))
(* (pow x.im 2) (+ 1 (/ x.re x.im)))
(pow x.im 2)
(+ (* x.im x.re) (pow x.im 2))
(+ (* x.im x.re) (pow x.im 2))
(+ (* x.im x.re) (pow x.im 2))
(* x.im x.re)
(* x.re (+ x.im (/ (pow x.im 2) x.re)))
(* x.re (+ x.im (/ (pow x.im 2) x.re)))
(* x.re (+ x.im (/ (pow x.im 2) x.re)))
(* x.im x.re)
(* -1 (* x.re (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))))
(* -1 (* x.re (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))))
(* -1 (* x.re (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))))
(pow x.im 3)
(+ (* (pow x.im 2) x.re) (pow x.im 3))
(+ (* x.re (+ (* x.im x.re) (pow x.im 2))) (pow x.im 3))
(+ (* x.re (+ (* x.re (+ x.im x.re)) (pow x.im 2))) (pow x.im 3))
(pow x.re 3)
(* (pow x.re 3) (+ 1 (/ x.im x.re)))
(* (pow x.re 3) (+ 1 (+ (/ x.im x.re) (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (+ (/ x.im x.re) (+ (/ (pow x.im 2) (pow x.re 2)) (/ (pow x.im 3) (pow x.re 3))))))
(pow x.re 3)
(* -1 (* (pow x.re 3) (- (* -1 (/ x.im x.re)) 1)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (/ (pow x.im 2) x.re)) x.re)) 1)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 (/ (+ (* -1 (/ (pow x.im 3) x.re)) (* -1 (pow x.im 2))) x.re))) x.re)) 1)))
(pow x.re 3)
(+ (* x.im (pow x.re 2)) (pow x.re 3))
(+ (* x.im (+ (* x.im x.re) (pow x.re 2))) (pow x.re 3))
(+ (* x.im (+ (* x.im (+ x.im x.re)) (pow x.re 2))) (pow x.re 3))
(pow x.im 3)
(* (pow x.im 3) (+ 1 (/ x.re x.im)))
(* (pow x.im 3) (+ 1 (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))))
(* (pow x.im 3) (+ 1 (+ (/ x.re x.im) (+ (/ (pow x.re 2) (pow x.im 2)) (/ (pow x.re 3) (pow x.im 3))))))
(pow x.im 3)
(* -1 (* (pow x.im 3) (- (* -1 (/ x.re x.im)) 1)))
(* -1 (* (pow x.im 3) (- (* -1 (/ (+ x.re (/ (pow x.re 2) x.im)) x.im)) 1)))
(* -1 (* (pow x.im 3) (- (* -1 (/ (+ x.re (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* -1 (pow x.re 2))) x.im))) x.im)) 1)))

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

eval363.0ms (2.7%)

Memory: 6.6MiB live, 271.1MiB allocated
Compiler: Compiled 50 863 to 3 954 computations (92.2% saved)

prune385.0ms (2.8%)

Memory

-19.0MiB live, 414.4MiB allocated

Pruning

20 alts after pruning (17 fresh and 3 done)

	Pruned	Kept	Total
New	1 755	14	1 769
Fresh	9	3	12
Picked	4	1	5
Done	0	2	2
Total	1 768	20	1 788

Accuracy

100.0%

Counts

1 788 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	31.6%	(fma.f64 (/.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) (/.f64 (*.f64 x.im (+.f64 x.im x.re)) (/.f64 #s(literal 1 binary64) (-.f64 x.re x.im))) #s(literal 0 binary64))
	80.6%	(fma.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 x.im x.re)) #s(literal 0 binary64))
✓	91.2%	(fma.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im) (.f64 x.re (*.f64 x.re (+.f64 x.im x.im))))
▶	18.0%	(fma.f64 (.f64 (+.f64 x.re x.im) (fma.f64 x.re x.re (.f64 x.im x.im))) (.f64 (-.f64 x.re x.im) (/.f64 x.im (fma.f64 x.re x.re (.f64 x.im x.im)))) (+.f64 x.im x.im))
	14.3%	(fma.f64 (.f64 (neg.f64 x.im) (.f64 (-.f64 x.re x.im) (.f64 x.im (.f64 x.im x.im)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)))) (+.f64 x.im x.im))
▶	83.0%	(fma.f64 (.f64 x.re x.re) (.f64 x.im #s(literal 3 binary64)) (neg.f64 (.f64 x.im (.f64 x.im x.im))))
	31.1%	(fma.f64 (neg.f64 (.f64 x.im (-.f64 x.re x.im))) (.f64 (.f64 (+.f64 x.im x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) (/.f64 #s(literal -1 binary64) (fma.f64 x.im x.im (*.f64 x.re x.re)))) #s(literal 0 binary64))
	60.4%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x.re x.im) (*.f64 x.re (fma.f64 x.im (/.f64 x.im x.re) x.im)) (+.f64 x.im x.im))))
	57.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x.im (.f64 x.im x.im))))
	80.3%	(+.f64 (/.f64 (.f64 (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (.f64 x.im (-.f64 x.re x.im))) (-.f64 x.re x.im)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
	51.0%	(.f64 (.f64 x.re (*.f64 x.re #s(literal 3 binary64))) x.im)
	55.6%	(.f64 (.f64 x.re (*.f64 x.im #s(literal 3 binary64))) x.re)
▶	55.6%	(.f64 (.f64 x.im x.re) (*.f64 x.re #s(literal 3 binary64)))
✓	57.1%	(.f64 (.f64 x.im x.im) (neg.f64 x.im))
	55.6%	(.f64 x.re (.f64 (*.f64 x.re #s(literal 3 binary64)) x.im))
✓	86.9%	(.f64 x.im (fma.f64 (.f64 x.re x.re) #s(literal 3 binary64) (neg.f64 (*.f64 x.im x.im))))
	24.7%	(*.f64 x.im (fma.f64 x.re x.re #s(literal 2 binary64)))
▶	86.9%	(.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im)))))
▶	36.9%	(.f64 x.im (.f64 x.re x.re))
	55.6%	(.f64 #s(literal 3 binary64) (.f64 (*.f64 x.im x.re) x.re))

Compiler

Compiled 597 to 320 computations (46.4% saved)

simplify622.0ms (4.6%)

Memory

-2.5MiB live, 649.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 x.re x.re (*.f64 x.im x.im))
✓	cost-diff	0	(+.f64 x.re x.im)
✓	cost-diff	0	(.f64 (+.f64 x.re x.im) (fma.f64 x.re x.re (.f64 x.im x.im)))
✓	cost-diff	2624	(fma.f64 (.f64 (+.f64 x.re x.im) (fma.f64 x.re x.re (.f64 x.im x.im))) (.f64 (-.f64 x.re x.im) (/.f64 x.im (fma.f64 x.re x.re (.f64 x.im x.im)))) (+.f64 x.im x.im))
✓	cost-diff	0	(neg.f64 (.f64 x.im (.f64 x.im x.im)))
✓	cost-diff	0	(*.f64 x.im #s(literal 3 binary64))
✓	cost-diff	0	(*.f64 x.re x.re)
✓	cost-diff	320	(fma.f64 (.f64 x.re x.re) (.f64 x.im #s(literal 3 binary64)) (neg.f64 (.f64 x.im (.f64 x.im x.im))))
✓	cost-diff	0	(*.f64 x.re #s(literal 3 binary64))
✓	cost-diff	0	(*.f64 x.im x.re)
✓	cost-diff	0	(.f64 (.f64 x.im x.re) (*.f64 x.re #s(literal 3 binary64)))
✓	cost-diff	0	(*.f64 x.re x.re)
✓	cost-diff	0	(.f64 x.im (.f64 x.re x.re))
✓	cost-diff	0	(-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)))
✓	cost-diff	0	(.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im)))))
✓	cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))))

Rules

16 494×	`lower-fma.f32`
16 488×	`lower-fma.f64`
4 628×	`lower-*.f32`
4 604×	`lower-*.f64`
2 482×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	201
0	52	187
1	113	187
2	256	187
3	931	187
4	4030	172
5	7656	172
0	8154	171

Stop Event

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

Calls

Call 1

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

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

localize103.0ms (0.8%)

Memory

-10.3MiB live, 241.4MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 (+.f64 x.re x.im) (fma.f64 x.re x.re (.f64 x.im x.im)))
✓	accuracy	88.0%	(fma.f64 (.f64 (+.f64 x.re x.im) (fma.f64 x.re x.re (.f64 x.im x.im))) (.f64 (-.f64 x.re x.im) (/.f64 x.im (fma.f64 x.re x.re (.f64 x.im x.im)))) (+.f64 x.im x.im))
✓	accuracy	87.9%	(.f64 (-.f64 x.re x.im) (/.f64 x.im (fma.f64 x.re x.re (.f64 x.im x.im))))
✓	accuracy	67.5%	(/.f64 x.im (fma.f64 x.re x.re (*.f64 x.im x.im)))
✓	accuracy	100.0%	(*.f64 x.im #s(literal 3 binary64))
✓	accuracy	100.0%	(neg.f64 (.f64 x.im (.f64 x.im x.im)))
✓	accuracy	99.9%	(.f64 x.im (.f64 x.im x.im))
✓	accuracy	84.7%	(fma.f64 (.f64 x.re x.re) (.f64 x.im #s(literal 3 binary64)) (neg.f64 (.f64 x.im (.f64 x.im x.im))))
✓	accuracy	100.0%	(*.f64 x.re #s(literal 3 binary64))
✓	accuracy	100.0%	(*.f64 x.im x.re)
✓	accuracy	99.7%	(.f64 (.f64 x.im x.re) (*.f64 x.re #s(literal 3 binary64)))
✓	accuracy	100.0%	(*.f64 x.re x.re)
✓	accuracy	87.3%	(.f64 x.im (.f64 x.re x.re))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))))
✓	accuracy	99.1%	(/.f64 #s(literal 1 binary64) (-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im)))
✓	accuracy	95.2%	(.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im x.im)))))
✓	accuracy	92.7%	(-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))

Samples

57.0ms

256×

valid

Compiler

Compiled 211 to 31 computations (85.3% saved)

Precisions

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

ival-mult: 21.0ms (57.9% of total)

ival-div: 6.0ms (16.5% of total)

ival-add: 5.0ms (13.8% of total)

ival-sub: 2.0ms (5.5% of total)

ival-neg: 1.0ms (2.8% of total)

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

exact: 0.0ms (0% of total)

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

series18.0ms (0.1%)

Memory

5.9MiB live, 46.3MiB allocated

Counts

19 → 396

Calls

Call 1

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

Outputs
#<alt (* -1 (pow x.im 2))>
#<alt (- (* 3 (pow x.re 2)) (pow x.im 2))>
#<alt (- (* 3 (pow x.re 2)) (pow x.im 2))>
#<alt (- (* 3 (pow x.re 2)) (pow x.im 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* 3 (pow x.re 2))>
#<alt (* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* 3 (pow x.re 2))>
#<alt (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))>
#<alt (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))>
#<alt (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))>
#<alt (* -1 (pow x.im 2))>
#<alt (* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* -1 (pow x.im 2))>
#<alt (* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))>
#<alt (* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))>
#<alt (* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))>
#<alt (* -1 (pow x.im 3))>
#<alt (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))>
#<alt (* -1 (pow x.im 3))>
#<alt (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))>
#<alt (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))>
#<alt (+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))>
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))>
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))>
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))>
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))>
#<alt (/ -1 (pow x.im 2))>
#<alt (- (* -3 (/ (pow x.re 2) (pow x.im 4))) (/ 1 (pow x.im 2)))>
#<alt (- (* (pow x.re 2) (- (* -9 (/ (pow x.re 2) (pow x.im 6))) (* 3 (/ 1 (pow x.im 4))))) (/ 1 (pow x.im 2)))>
#<alt (- (* (pow x.re 2) (- (* (pow x.re 2) (- (* -27 (/ (pow x.re 2) (pow x.im 8))) (* 9 (/ 1 (pow x.im 6))))) (* 3 (/ 1 (pow x.im 4))))) (/ 1 (pow x.im 2)))>
#<alt (/ 1/3 (pow x.re 2))>
#<alt (/ (+ 1/3 (* 1/9 (/ (pow x.im 2) (pow x.re 2)))) (pow x.re 2))>
#<alt (/ (- (+ 1/3 (* 1/27 (/ (pow x.im 4) (pow x.re 4)))) (* -1/9 (/ (pow x.im 2) (pow x.re 2)))) (pow x.re 2))>
#<alt (/ (- (+ 1/3 (* 1/81 (/ (pow x.im 6) (pow x.re 6)))) (+ (* -1/9 (/ (pow x.im 2) (pow x.re 2))) (* -1/27 (/ (pow x.im 4) (pow x.re 4))))) (pow x.re 2))>
#<alt (/ 1/3 (pow x.re 2))>
#<alt (/ (+ 1/3 (* 1/9 (/ (pow x.im 2) (pow x.re 2)))) (pow x.re 2))>
#<alt (/ (- (+ 1/3 (* 1/27 (/ (pow x.im 4) (pow x.re 4)))) (* -1/9 (/ (pow x.im 2) (pow x.re 2)))) (pow x.re 2))>
#<alt (/ (- (+ 1/3 (* 1/81 (/ (pow x.im 6) (pow x.re 6)))) (+ (* -1/9 (/ (pow x.im 2) (pow x.re 2))) (* -1/27 (/ (pow x.im 4) (pow x.re 4))))) (pow x.re 2))>
#<alt (/ 1/3 (pow x.re 2))>
#<alt (+ (* 1/9 (/ (pow x.im 2) (pow x.re 4))) (* 1/3 (/ 1 (pow x.re 2))))>
#<alt (+ (* (pow x.im 2) (+ (* 1/27 (/ (pow x.im 2) (pow x.re 6))) (* 1/9 (/ 1 (pow x.re 4))))) (* 1/3 (/ 1 (pow x.re 2))))>
#<alt (+ (* (pow x.im 2) (+ (* (pow x.im 2) (+ (* 1/81 (/ (pow x.im 2) (pow x.re 8))) (* 1/27 (/ 1 (pow x.re 6))))) (* 1/9 (/ 1 (pow x.re 4))))) (* 1/3 (/ 1 (pow x.re 2))))>
#<alt (/ -1 (pow x.im 2))>
#<alt (/ (- (* -3 (/ (pow x.re 2) (pow x.im 2))) 1) (pow x.im 2))>
#<alt (/ (- (* -9 (/ (pow x.re 4) (pow x.im 4))) (+ 1 (* 3 (/ (pow x.re 2) (pow x.im 2))))) (pow x.im 2))>
#<alt (/ (- (* -27 (/ (pow x.re 6) (pow x.im 6))) (+ 1 (+ (* 3 (/ (pow x.re 2) (pow x.im 2))) (* 9 (/ (pow x.re 4) (pow x.im 4)))))) (pow x.im 2))>
#<alt (/ -1 (pow x.im 2))>
#<alt (/ (- (* -3 (/ (pow x.re 2) (pow x.im 2))) 1) (pow x.im 2))>
#<alt (/ (- (* -9 (/ (pow x.re 4) (pow x.im 4))) (+ 1 (* 3 (/ (pow x.re 2) (pow x.im 2))))) (pow x.im 2))>
#<alt (/ (- (* -27 (/ (pow x.re 6) (pow x.im 6))) (+ 1 (+ (* 3 (/ (pow x.re 2) (pow x.im 2))) (* 9 (/ (pow x.re 4) (pow x.im 4)))))) (pow x.im 2))>
#<alt (* -1 (pow x.im 2))>
#<alt (- (* 3 (pow x.re 2)) (pow x.im 2))>
#<alt (- (* 3 (pow x.re 2)) (pow x.im 2))>
#<alt (- (* 3 (pow x.re 2)) (pow x.im 2))>
#<alt (* 3 (pow x.re 2))>
#<alt (* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* 3 (pow x.re 2))>
#<alt (* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* 3 (pow x.re 2))>
#<alt (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))>
#<alt (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))>
#<alt (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))>
#<alt (* -1 (pow x.im 2))>
#<alt (* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* -1 (pow x.im 2))>
#<alt (* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (* x.im (pow x.re 2))>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (pow x.re 2)>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* x.im x.re)>
#<alt (* 3 x.re)>
#<alt (* 3 x.re)>
#<alt (* 3 x.re)>
#<alt (* 3 x.re)>
#<alt (* 3 x.re)>
#<alt (* 3 x.re)>
#<alt (* 3 x.re)>
#<alt (* 3 x.re)>
#<alt (* 3 x.re)>
#<alt (* 3 x.re)>
#<alt (* 3 x.re)>
#<alt (* 3 x.re)>
#<alt (* -1 (pow x.im 3))>
#<alt (- (* 3 (* x.im (pow x.re 2))) (pow x.im 3))>
#<alt (- (* 3 (* x.im (pow x.re 2))) (pow x.im 3))>
#<alt (- (* 3 (* x.im (pow x.re 2))) (pow x.im 3))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))>
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))>
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))>
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))>
#<alt (* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))>
#<alt (* 3 (* x.im (pow x.re 2)))>
#<alt (* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))>
#<alt (* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))>
#<alt (* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))>
#<alt (* -1 (pow x.im 3))>
#<alt (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))>
#<alt (* 3 x.im)>
#<alt (* 3 x.im)>
#<alt (* 3 x.im)>
#<alt (* 3 x.im)>
#<alt (* 3 x.im)>
#<alt (* 3 x.im)>
#<alt (* 3 x.im)>
#<alt (* 3 x.im)>
#<alt (* 3 x.im)>
#<alt (* 3 x.im)>
#<alt (* 3 x.im)>
#<alt (* 3 x.im)>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (pow x.im 3))>
#<alt (+ (* -1 (pow x.im 3)) (* 2 x.im))>
#<alt (+ (* -1 (pow x.im 3)) (+ (* 2 x.im) (* x.im (* x.re (+ x.im (* -1 x.im))))))>
#<alt (+ (* -1 (pow x.im 3)) (+ (* 2 x.im) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im)))))))>
#<alt (+ (* -1 (pow x.im 3)) (+ (* 2 x.im) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im)))))))>
#<alt (* x.im (pow x.re 2))>
#<alt (* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 (/ x.im (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))>
#<alt (* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 (/ x.im (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))>
#<alt (* x.im (pow x.re 2))>
#<alt (* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))>
#<alt (* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (* -1 (/ (+ (* -1 (pow x.im 3)) (* 2 x.im)) x.re))) x.re))))>
#<alt (* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (* -1 (/ (+ (* -1 (pow x.im 3)) (* 2 x.im)) x.re))) x.re))))>
#<alt (* x.im (+ 2 (pow x.re 2)))>
#<alt (* x.im (+ 2 (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))))>
#<alt (* x.im (+ 2 (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))>
#<alt (* x.im (+ 2 (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))>
#<alt (* -1 (pow x.im 3))>
#<alt (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))>
#<alt (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ 2 (pow x.im 2)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))>
#<alt (* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ 2 (pow x.im 2)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))>
#<alt (* -1 (pow x.im 3))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (- (* -1 (pow x.re 2)) 2) x.im))) x.im)))))>
#<alt (* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (- (* -1 (pow x.re 2)) 2) x.im))) x.im)))))>
#<alt (pow x.im 3)>
#<alt (+ (* (pow x.im 2) x.re) (pow x.im 3))>
#<alt (+ (* x.re (+ (* x.im x.re) (pow x.im 2))) (pow x.im 3))>
#<alt (+ (* x.re (+ (* x.re (+ x.im x.re)) (pow x.im 2))) (pow x.im 3))>
#<alt (pow x.re 3)>
#<alt (* (pow x.re 3) (+ 1 (/ x.im x.re)))>
#<alt (* (pow x.re 3) (+ 1 (+ (/ x.im x.re) (/ (pow x.im 2) (pow x.re 2)))))>
#<alt (* (pow x.re 3) (+ 1 (+ (/ x.im x.re) (+ (/ (pow x.im 2) (pow x.re 2)) (/ (pow x.im 3) (pow x.re 3))))))>
#<alt (pow x.re 3)>
#<alt (* -1 (* (pow x.re 3) (- (* -1 (/ x.im x.re)) 1)))>
#<alt (* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (/ (pow x.im 2) x.re)) x.re)) 1)))>
#<alt (* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 (/ (+ (* -1 (/ (pow x.im 3) x.re)) (* -1 (pow x.im 2))) x.re))) x.re)) 1)))>
#<alt (pow x.re 3)>
#<alt (+ (* x.im (pow x.re 2)) (pow x.re 3))>
#<alt (+ (* x.im (+ (* x.im x.re) (pow x.re 2))) (pow x.re 3))>
#<alt (+ (* x.im (+ (* x.im (+ x.im x.re)) (pow x.re 2))) (pow x.re 3))>
#<alt (pow x.im 3)>
#<alt (* (pow x.im 3) (+ 1 (/ x.re x.im)))>
#<alt (* (pow x.im 3) (+ 1 (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))))>
#<alt (* (pow x.im 3) (+ 1 (+ (/ x.re x.im) (+ (/ (pow x.re 2) (pow x.im 2)) (/ (pow x.re 3) (pow x.im 3))))))>
#<alt (pow x.im 3)>
#<alt (* -1 (* (pow x.im 3) (- (* -1 (/ x.re x.im)) 1)))>
#<alt (* -1 (* (pow x.im 3) (- (* -1 (/ (+ x.re (/ (pow x.re 2) x.im)) x.im)) 1)))>
#<alt (* -1 (* (pow x.im 3) (- (* -1 (/ (+ x.re (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* -1 (pow x.re 2))) x.im))) x.im)) 1)))>
#<alt x.im>
#<alt (+ x.im x.re)>
#<alt (+ x.im x.re)>
#<alt (+ x.im x.re)>
#<alt x.re>
#<alt (* x.re (+ 1 (/ x.im x.re)))>
#<alt (* x.re (+ 1 (/ x.im x.re)))>
#<alt (* x.re (+ 1 (/ x.im x.re)))>
#<alt x.re>
#<alt (* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))>
#<alt (* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))>
#<alt (* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))>
#<alt x.re>
#<alt (+ x.im x.re)>
#<alt (+ x.im x.re)>
#<alt (+ x.im x.re)>
#<alt x.im>
#<alt (* x.im (+ 1 (/ x.re x.im)))>
#<alt (* x.im (+ 1 (/ x.re x.im)))>
#<alt (* x.im (+ 1 (/ x.re x.im)))>
#<alt x.im>
#<alt (* -1 (* x.im (- (* -1 (/ x.re x.im)) 1)))>
#<alt (* -1 (* x.im (- (* -1 (/ x.re x.im)) 1)))>
#<alt (* -1 (* x.im (- (* -1 (/ x.re x.im)) 1)))>
#<alt (pow x.im 2)>
#<alt (+ (pow x.im 2) (pow x.re 2))>
#<alt (+ (pow x.im 2) (pow x.re 2))>
#<alt (+ (pow x.im 2) (pow x.re 2))>
#<alt (pow x.re 2)>
#<alt (* (pow x.re 2) (+ 1 (/ (pow x.im 2) (pow x.re 2))))>
#<alt (* (pow x.re 2) (+ 1 (/ (pow x.im 2) (pow x.re 2))))>
#<alt (* (pow x.re 2) (+ 1 (/ (pow x.im 2) (pow x.re 2))))>
#<alt (pow x.re 2)>
#<alt (* (pow x.re 2) (+ 1 (/ (pow x.im 2) (pow x.re 2))))>
#<alt (* (pow x.re 2) (+ 1 (/ (pow x.im 2) (pow x.re 2))))>
#<alt (* (pow x.re 2) (+ 1 (/ (pow x.im 2) (pow x.re 2))))>
#<alt (pow x.re 2)>
#<alt (+ (pow x.im 2) (pow x.re 2))>
#<alt (+ (pow x.im 2) (pow x.re 2))>
#<alt (+ (pow x.im 2) (pow x.re 2))>
#<alt (pow x.im 2)>
#<alt (* (pow x.im 2) (+ 1 (/ (pow x.re 2) (pow x.im 2))))>
#<alt (* (pow x.im 2) (+ 1 (/ (pow x.re 2) (pow x.im 2))))>
#<alt (* (pow x.im 2) (+ 1 (/ (pow x.re 2) (pow x.im 2))))>
#<alt (pow x.im 2)>
#<alt (* (pow x.im 2) (+ 1 (/ (pow x.re 2) (pow x.im 2))))>
#<alt (* (pow x.im 2) (+ 1 (/ (pow x.re 2) (pow x.im 2))))>
#<alt (* (pow x.im 2) (+ 1 (/ (pow x.re 2) (pow x.im 2))))>
#<alt (pow x.im 3)>
#<alt (pow x.im 3)>
#<alt (pow x.im 3)>
#<alt (pow x.im 3)>
#<alt (pow x.im 3)>
#<alt (pow x.im 3)>
#<alt (pow x.im 3)>
#<alt (pow x.im 3)>
#<alt (pow x.im 3)>
#<alt (pow x.im 3)>
#<alt (pow x.im 3)>
#<alt (pow x.im 3)>
#<alt (/ x.im (pow x.re 2))>
#<alt (* x.im (+ (* -1 (/ (pow x.im 2) (pow x.re 4))) (/ 1 (pow x.re 2))))>
#<alt (* x.im (+ (* (pow x.im 2) (- (/ (pow x.im 2) (pow x.re 6)) (/ 1 (pow x.re 4)))) (/ 1 (pow x.re 2))))>
#<alt (* x.im (+ (* (pow x.im 2) (- (* (pow x.im 2) (+ (* -1 (/ (pow x.im 2) (pow x.re 8))) (/ 1 (pow x.re 6)))) (/ 1 (pow x.re 4)))) (/ 1 (pow x.re 2))))>
#<alt (/ 1 x.im)>
#<alt (/ (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2)))) x.im)>
#<alt (/ (- (+ 1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 2) (pow x.im 2))) x.im)>
#<alt (/ (- (+ 1 (* -1 (/ (pow x.re 6) (pow x.im 6)))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 2) (pow x.im 2)))) x.im)>
#<alt (/ 1 x.im)>
#<alt (* -1 (/ (- (/ (pow x.re 2) (pow x.im 2)) 1) x.im))>
#<alt (* -1 (/ (- (* -1 (/ (pow x.re 4) (pow x.im 4))) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))) x.im))>
#<alt (* -1 (/ (- (/ (pow x.re 6) (pow x.im 6)) (+ 1 (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 4) (pow x.im 4))))) x.im))>
#<alt (/ 1 x.im)>
#<alt (+ (* -1 (/ (pow x.re 2) (pow x.im 3))) (/ 1 x.im))>
#<alt (+ (* (pow x.re 2) (- (/ (pow x.re 2) (pow x.im 5)) (/ 1 (pow x.im 3)))) (/ 1 x.im))>
#<alt (+ (* (pow x.re 2) (- (* (pow x.re 2) (+ (* -1 (/ (pow x.re 2) (pow x.im 7))) (/ 1 (pow x.im 5)))) (/ 1 (pow x.im 3)))) (/ 1 x.im))>
#<alt (/ x.im (pow x.re 2))>
#<alt (/ (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))) (pow x.re 2))>
#<alt (/ (- (+ x.im (/ (pow x.im 5) (pow x.re 4))) (/ (pow x.im 3) (pow x.re 2))) (pow x.re 2))>
#<alt (/ (- (+ x.im (* -1 (/ (pow x.im 7) (pow x.re 6)))) (+ (* -1 (/ (pow x.im 5) (pow x.re 4))) (/ (pow x.im 3) (pow x.re 2)))) (pow x.re 2))>
#<alt (/ x.im (pow x.re 2))>
#<alt (/ (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))) (pow x.re 2))>
#<alt (/ (- (+ x.im (/ (pow x.im 5) (pow x.re 4))) (/ (pow x.im 3) (pow x.re 2))) (pow x.re 2))>
#<alt (/ (- (+ x.im (* -1 (/ (pow x.im 7) (pow x.re 6)))) (+ (* -1 (/ (pow x.im 5) (pow x.re 4))) (/ (pow x.im 3) (pow x.re 2)))) (pow x.re 2))>
#<alt -1>
#<alt (- (/ x.re x.im) 1)>
#<alt (- (* x.re (+ (/ 1 x.im) (/ x.re (pow x.im 2)))) 1)>
#<alt (- (* x.re (+ (* x.re (+ (* -1 (/ x.re (pow x.im 3))) (/ 1 (pow x.im 2)))) (/ 1 x.im))) 1)>
#<alt (/ x.im x.re)>
#<alt (/ (+ x.im (* -1 (/ (pow x.im 2) x.re))) x.re)>
#<alt (/ (+ x.im (+ (* -1 (/ (pow x.im 2) x.re)) (* -1 (/ (pow x.im 3) (pow x.re 2))))) x.re)>
#<alt (/ (- (+ x.im (+ (* -1 (/ (pow x.im 2) x.re)) (/ (pow x.im 4) (pow x.re 3)))) (/ (pow x.im 3) (pow x.re 2))) x.re)>
#<alt (/ x.im x.re)>
#<alt (* -1 (/ (+ (* -1 x.im) (/ (pow x.im 2) x.re)) x.re))>
#<alt (* -1 (/ (+ (* -1 x.im) (* -1 (/ (+ (* -1 (/ (pow x.im 3) x.re)) (* -1 (pow x.im 2))) x.re))) x.re))>
#<alt (* -1 (/ (+ (* -1 x.im) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow x.im 4) x.re)) (pow x.im 3)) x.re)) (* -1 (pow x.im 2))) x.re))) x.re))>
#<alt (/ x.im x.re)>
#<alt (* x.im (+ (* -1 (/ x.im (pow x.re 2))) (/ 1 x.re)))>
#<alt (* x.im (+ (* x.im (- (* -1 (/ x.im (pow x.re 3))) (/ 1 (pow x.re 2)))) (/ 1 x.re)))>
#<alt (* x.im (+ (* x.im (- (* x.im (- (/ x.im (pow x.re 4)) (/ 1 (pow x.re 3)))) (/ 1 (pow x.re 2)))) (/ 1 x.re)))>
#<alt -1>
#<alt (- (/ x.re x.im) 1)>
#<alt (- (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))) 1)>
#<alt (- (+ (* -1 (/ (pow x.re 3) (pow x.im 3))) (/ x.re x.im)) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2)))))>
#<alt -1>
#<alt (- (/ x.re x.im) 1)>
#<alt (- (* -1 (/ (+ (* -1 x.re) (* -1 (/ (pow x.re 2) x.im))) x.im)) 1)>
#<alt (- (* -1 (/ (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (pow x.re 2)) x.im))) x.im)) 1)>

Calls

99 calls:

Time	Variable		Point	Expression
3.0ms	x.im	@	-inf	(+ (* x.re x.re) (* x.im x.im))
2.0ms	x.re	@	inf	(/ 1 (- (* x.re (* x.re 3)) (* x.im x.im)))
0.0ms	x.im	@	0	(/ 1 (- (* x.re (* x.re 3)) (* x.im x.im)))
0.0ms	x.im	@	0	(/ x.im (+ (* x.re x.re) (* x.im x.im)))
0.0ms	x.re	@	0	(/ 1 (- (* x.re (* x.re 3)) (* x.im x.im)))

rewrite453.0ms (3.3%)

Memory

22.8MiB live, 857.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 430×	`lower-fma.f32`
8 424×	`lower-fma.f64`
4 614×	`lower-/.f32`
4 608×	`lower-/.f64`
4 186×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	161
0	52	147
1	199	141
2	1599	136
0	8233	135

Stop Event

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

Counts

19 → 1 053

Calls

Call 1

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

Outputs
(+.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (*.f64 x.im (neg.f64 x.im)))
(+.f64 (.f64 x.im (neg.f64 x.im)) (.f64 x.re (*.f64 x.re #s(literal 3 binary64))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 x.re (.f64 x.re #s(literal 3 binary64)))) (.f64 #s(literal 1 binary64) (*.f64 x.im (neg.f64 x.im))))
(+.f64 (.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (*.f64 x.im (neg.f64 x.im)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (fma.f64 #s(literal 3 binary64) (.f64 x.re x.re) (.f64 x.im (neg.f64 x.im)))))
(exp.f64 (.f64 (log.f64 (fma.f64 #s(literal 3 binary64) (.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im)))) #s(literal 1 binary64)))
(-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (*.f64 x.im x.im))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) (.f64 x.re x.re) (.f64 x.im (neg.f64 x.im))) #s(literal -1 binary64)))
(-.f64 (/.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 x.im x.im) #s(literal 1 binary64)))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x.re x.re) (.f64 x.re (.f64 x.re (.f64 x.re x.re)))) #s(literal 27 binary64)) (fma.f64 (.f64 x.im x.im) (fma.f64 x.re (.f64 x.re #s(literal 3 binary64)) (.f64 x.im x.im)) (.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) #s(literal 9 binary64)))) (/.f64 (.f64 (.f64 x.im x.im) (.f64 (.f64 x.im x.im) (.f64 x.im x.im))) (fma.f64 (.f64 x.im x.im) (fma.f64 x.re (.f64 x.re #s(literal 3 binary64)) (.f64 x.im x.im)) (.f64 (.f64 x.re (.f64 x.re (*.f64 x.re x.re))) #s(literal 9 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) #s(literal 9 binary64)) (fma.f64 x.re (.f64 x.re #s(literal 3 binary64)) (.f64 x.im x.im))) (/.f64 (.f64 (.f64 x.im x.im) (.f64 x.im x.im)) (fma.f64 x.re (.f64 x.re #s(literal 3 binary64)) (*.f64 x.im x.im))))
(-.f64 (/.f64 (/.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 x.im x.im) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 x.re x.re) (.f64 x.re (.f64 x.re (.f64 x.re x.re)))) #s(literal 27 binary64)) (fma.f64 (.f64 x.im x.im) (fma.f64 x.re (.f64 x.re #s(literal 3 binary64)) (.f64 x.im x.im)) (.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) #s(literal 9 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 (.f64 x.im x.im) (.f64 (.f64 x.im x.im) (.f64 x.im x.im))) (fma.f64 (.f64 x.im x.im) (fma.f64 x.re (.f64 x.re #s(literal 3 binary64)) (.f64 x.im x.im)) (.f64 (.f64 x.re (.f64 x.re (*.f64 x.re x.re))) #s(literal 9 binary64)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) #s(literal 9 binary64)) (fma.f64 x.re (.f64 x.re #s(literal 3 binary64)) (.f64 x.im x.im))) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 (.f64 x.im x.im) (.f64 x.im x.im)) (fma.f64 x.re (.f64 x.re #s(literal 3 binary64)) (*.f64 x.im x.im))) #s(literal 1 binary64)))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x.re x.re) (.f64 x.re (.f64 x.re (.f64 x.re x.re)))) #s(literal 27 binary64)) (.f64 #s(literal 1 binary64) (fma.f64 (.f64 x.im x.im) (fma.f64 x.re (.f64 x.re #s(literal 3 binary64)) (.f64 x.im x.im)) (.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) #s(literal 9 binary64))))) (/.f64 (.f64 (.f64 x.im x.im) (.f64 (.f64 x.im x.im) (.f64 x.im x.im))) (.f64 #s(literal 1 binary64) (fma.f64 (.f64 x.im x.im) (fma.f64 x.re (.f64 x.re #s(literal 3 binary64)) (.f64 x.im x.im)) (.f64 (.f64 x.re (.f64 x.re (*.f64 x.re x.re))) #s(literal 9 binary64))))))
(-.f64 (/.f64 (.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) #s(literal 9 binary64)) (.f64 #s(literal 1 binary64) (fma.f64 x.re (.f64 x.re #s(literal 3 binary64)) (.f64 x.im x.im)))) (/.f64 (.f64 (.f64 x.im x.im) (.f64 x.im x.im)) (.f64 #s(literal 1 binary64) (fma.f64 x.re (.f64 x.re #s(literal 3 binary64)) (*.f64 x.im x.im)))))
(-.f64 (/.f64 (.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) #s(literal 9 binary64)) (-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 x.im (neg.f64 x.im)))) (/.f64 (.f64 (.f64 x.im x.im) (.f64 x.im x.im)) (-.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (*.f64 x.im (neg.f64 x.im)))))
(fma.f64 #s(literal 1 binary64) (.f64 x.re (.f64 x.re #s(literal 3 binary64))) (.f64 #s(literal 1 binary64) (.f64 x.im (neg.f64 x.im))))
(fma.f64 x.re (.f64 x.re #s(literal 3 binary64)) (.f64 x.im (neg.f64 x.im)))
(fma.f64 #s(literal 3 binary64) (.f64 x.re x.re) (.f64 x.im (neg.f64 x.im)))
(fma.f64 (.f64 x.re #s(literal 3 binary64)) x.re (.f64 x.im (neg.f64 x.im)))
(fma.f64 (.f64 x.re (.f64 x.re #s(literal 3 binary64))) #s(literal 1 binary64) (.f64 (.f64 x.im (neg.f64 x.im)) #s(literal 1 binary64)))
(fma.f64 x.im (neg.f64 x.im) (.f64 x.re (.f64 x.re #s(literal 3 binary64))))
(fma.f64 (.f64 x.re x.re) #s(literal 3 binary64) (.f64 x.im (neg.f64 x.im)))
(fma.f64 #s(literal -1 binary64) (.f64 x.im x.im) (.f64 x.re (*.f64 x.re #s(literal 3 binary64))))
(fma.f64 (neg.f64 x.im) x.im (.f64 x.re (.f64 x.re #s(literal 3 binary64))))
(neg.f64 (neg.f64 (fma.f64 #s(literal 3 binary64) (.f64 x.re x.re) (.f64 x.im (neg.f64 x.im)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (.f64 x.re x.re) (.f64 x.im (neg.f64 x.im)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1 binary64) (fma.f64 (.f64 x.im x.im) (fma.f64 x.re (.f64 x.re #s(literal 3 binary64)) (.f64 x.im x.im)) (.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) #s(literal 9 binary64)))) (-.f64 (.f64 (.f64 (.f64 x.re x.re) (.f64 x.re (.f64 x.re (.f64 x.re x.re)))) #s(literal 27 binary64)) (.f64 (.f64 x.im x.im) (.f64 (.f64 x.im x.im) (*.f64 x.im x.im))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1 binary64) (fma.f64 x.re (.f64 x.re #s(literal 3 binary64)) (.f64 x.im x.im))) (-.f64 (.f64 (.f64 x.re (.f64 x.re (.f64 x.re x.re))) #s(literal 9 binary64)) (.f64 (.f64 x.im x.im) (.f64 x.im x.im)))))
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(/.f64 (.f64 x.im (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) (.f64 (+.f64 x.re x.im) (fma.f64 x.re x.re (.f64 x.im x.im))))
(/.f64 (.f64 (neg.f64 x.im) (.f64 (fma.f64 x.im (+.f64 x.re x.im) (.f64 x.re x.re)) (-.f64 x.re x.im))) (.f64 (neg.f64 (fma.f64 x.re x.re (.f64 x.im x.im))) (fma.f64 x.im (+.f64 x.re x.im) (.f64 x.re x.re))))
(/.f64 (.f64 (neg.f64 x.im) (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) (.f64 (neg.f64 (fma.f64 x.re x.re (.f64 x.im x.im))) (+.f64 x.re x.im)))
(/.f64 (neg.f64 (-.f64 x.re x.im)) (neg.f64 (/.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) x.im)))
(/.f64 (neg.f64 (.f64 x.im (-.f64 x.re x.im))) (neg.f64 (fma.f64 x.re x.re (.f64 x.im x.im))))
(/.f64 (.f64 (-.f64 x.re x.im) #s(literal 1 binary64)) (/.f64 (fma.f64 x.re x.re (.f64 x.im x.im)) x.im))
(/.f64 (.f64 (-.f64 x.re x.im) (neg.f64 x.im)) (neg.f64 (fma.f64 x.re x.re (.f64 x.im x.im))))
(/.f64 (.f64 (/.f64 x.im (fma.f64 x.re x.re (.f64 x.im x.im))) (.f64 (fma.f64 x.im (+.f64 x.re x.im) (.f64 x.re x.re)) (-.f64 x.re x.im))) (fma.f64 x.im (+.f64 x.re x.im) (*.f64 x.re x.re)))
(/.f64 (.f64 (/.f64 x.im (fma.f64 x.re x.re (.f64 x.im x.im))) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) (+.f64 x.re x.im))
(/.f64 (.f64 (.f64 (fma.f64 x.im (+.f64 x.re x.im) (.f64 x.re x.re)) (-.f64 x.re x.im)) (/.f64 x.im (fma.f64 x.re x.re (.f64 x.im x.im)))) (fma.f64 x.im (+.f64 x.re x.im) (*.f64 x.re x.re)))
(/.f64 (.f64 (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (/.f64 x.im (fma.f64 x.re x.re (*.f64 x.im x.im)))) (+.f64 x.re x.im))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 x.re x.im)) (/.f64 (fma.f64 x.re x.re (.f64 x.im x.im)) x.im))
(/.f64 (.f64 (neg.f64 x.im) (-.f64 x.re x.im)) (neg.f64 (fma.f64 x.re x.re (.f64 x.im x.im))))
(/.f64 (neg.f64 (.f64 x.im (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))) (neg.f64 (.f64 (+.f64 x.re x.im) (fma.f64 x.re x.re (.f64 x.im x.im)))))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 x.im (+.f64 x.re x.im) (.f64 x.re x.re)) (-.f64 x.re x.im)) x.im)) (neg.f64 (.f64 (fma.f64 x.im (+.f64 x.re x.im) (.f64 x.re x.re)) (fma.f64 x.re x.re (.f64 x.im x.im)))))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) x.im)) (neg.f64 (.f64 (+.f64 x.re x.im) (fma.f64 x.re x.re (.f64 x.im x.im)))))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 x.im (+.f64 x.re x.im) (.f64 x.re x.re)) (-.f64 x.re x.im)) #s(literal 1 binary64))) (neg.f64 (.f64 (fma.f64 x.im (+.f64 x.re x.im) (.f64 x.re x.re)) (/.f64 (fma.f64 x.re x.re (.f64 x.im x.im)) x.im))))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 x.im (+.f64 x.re x.im) (.f64 x.re x.re)) (-.f64 x.re x.im)) (neg.f64 x.im))) (neg.f64 (.f64 (fma.f64 x.im (+.f64 x.re x.im) (.f64 x.re x.re)) (neg.f64 (fma.f64 x.re x.re (.f64 x.im x.im))))))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) #s(literal 1 binary64))) (neg.f64 (.f64 (+.f64 x.re x.im) (/.f64 (fma.f64 x.re x.re (.f64 x.im x.im)) x.im))))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (neg.f64 x.im))) (neg.f64 (.f64 (+.f64 x.re x.im) (neg.f64 (fma.f64 x.re x.re (.f64 x.im x.im))))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (.f64 (fma.f64 x.im (+.f64 x.re x.im) (.f64 x.re x.re)) (-.f64 x.re x.im)))) (neg.f64 (.f64 (/.f64 (fma.f64 x.re x.re (.f64 x.im x.im)) x.im) (fma.f64 x.im (+.f64 x.re x.im) (.f64 x.re x.re)))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))) (neg.f64 (.f64 (/.f64 (fma.f64 x.re x.re (.f64 x.im x.im)) x.im) (+.f64 x.re x.im))))
(/.f64 (neg.f64 (.f64 x.im (.f64 (fma.f64 x.im (+.f64 x.re x.im) (.f64 x.re x.re)) (-.f64 x.re x.im)))) (neg.f64 (.f64 (fma.f64 x.re x.re (.f64 x.im x.im)) (fma.f64 x.im (+.f64 x.re x.im) (.f64 x.re x.re)))))
(/.f64 (neg.f64 (.f64 (neg.f64 x.im) (.f64 (fma.f64 x.im (+.f64 x.re x.im) (.f64 x.re x.re)) (-.f64 x.re x.im)))) (neg.f64 (.f64 (neg.f64 (fma.f64 x.re x.re (.f64 x.im x.im))) (fma.f64 x.im (+.f64 x.re x.im) (.f64 x.re x.re)))))
(/.f64 (neg.f64 (.f64 (neg.f64 x.im) (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))) (neg.f64 (.f64 (neg.f64 (fma.f64 x.re x.re (.f64 x.im x.im))) (+.f64 x.re x.im))))
(/.f64 (neg.f64 (neg.f64 (.f64 x.im (-.f64 x.re x.im)))) (neg.f64 (neg.f64 (fma.f64 x.re x.re (.f64 x.im x.im)))))
(/.f64 (neg.f64 (.f64 (-.f64 x.re x.im) #s(literal 1 binary64))) (neg.f64 (/.f64 (fma.f64 x.re x.re (.f64 x.im x.im)) x.im)))
(/.f64 (neg.f64 (.f64 (-.f64 x.re x.im) (neg.f64 x.im))) (neg.f64 (neg.f64 (fma.f64 x.re x.re (.f64 x.im x.im)))))
(/.f64 (neg.f64 (.f64 (/.f64 x.im (fma.f64 x.re x.re (.f64 x.im x.im))) (.f64 (fma.f64 x.im (+.f64 x.re x.im) (.f64 x.re x.re)) (-.f64 x.re x.im)))) (neg.f64 (fma.f64 x.im (+.f64 x.re x.im) (*.f64 x.re x.re))))
(/.f64 (neg.f64 (.f64 (/.f64 x.im (fma.f64 x.re x.re (.f64 x.im x.im))) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))) (neg.f64 (+.f64 x.re x.im)))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 x.im (+.f64 x.re x.im) (.f64 x.re x.re)) (-.f64 x.re x.im)) (/.f64 x.im (fma.f64 x.re x.re (.f64 x.im x.im))))) (neg.f64 (fma.f64 x.im (+.f64 x.re x.im) (*.f64 x.re x.re))))
(/.f64 (neg.f64 (.f64 (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (/.f64 x.im (fma.f64 x.re x.re (*.f64 x.im x.im))))) (neg.f64 (+.f64 x.re x.im)))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (-.f64 x.re x.im))) (neg.f64 (/.f64 (fma.f64 x.re x.re (.f64 x.im x.im)) x.im)))
(/.f64 (neg.f64 (.f64 (neg.f64 x.im) (-.f64 x.re x.im))) (neg.f64 (neg.f64 (fma.f64 x.re x.re (.f64 x.im x.im)))))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 x.im (fma.f64 x.re x.re (.f64 x.im x.im))) x.re) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 x.im (fma.f64 x.re x.re (.f64 x.im x.im))) (neg.f64 x.im)) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 x.im (fma.f64 x.re x.re (.f64 x.im x.im))) x.re) (.f64 (/.f64 x.im (fma.f64 x.re x.re (.f64 x.im x.im))) x.re) (-.f64 (.f64 (.f64 (/.f64 x.im (fma.f64 x.re x.re (.f64 x.im x.im))) (neg.f64 x.im)) (.f64 (/.f64 x.im (fma.f64 x.re x.re (.f64 x.im x.im))) (neg.f64 x.im))) (.f64 (.f64 (/.f64 x.im (fma.f64 x.re x.re (.f64 x.im x.im))) x.re) (.f64 (/.f64 x.im (fma.f64 x.re x.re (.f64 x.im x.im))) (neg.f64 x.im))))))
(/.f64 (+.f64 (pow.f64 (.f64 x.re (/.f64 x.im (fma.f64 x.re x.re (.f64 x.im x.im)))) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 x.im) (/.f64 x.im (fma.f64 x.re x.re (.f64 x.im x.im)))) #s(literal 3 binary64))) (fma.f64 (.f64 x.re (/.f64 x.im (fma.f64 x.re x.re (.f64 x.im x.im)))) (.f64 x.re (/.f64 x.im (fma.f64 x.re x.re (.f64 x.im x.im)))) (-.f64 (.f64 (.f64 (neg.f64 x.im) (/.f64 x.im (fma.f64 x.re x.re (.f64 x.im x.im)))) (.f64 (neg.f64 x.im) (/.f64 x.im (fma.f64 x.re x.re (.f64 x.im x.im))))) (.f64 (.f64 x.re (/.f64 x.im (fma.f64 x.re x.re (.f64 x.im x.im)))) (.f64 (neg.f64 x.im) (/.f64 x.im (fma.f64 x.re x.re (.f64 x.im x.im))))))))
(pow.f64 (/.f64 (fma.f64 x.re x.re (.f64 x.im x.im)) (.f64 x.im (-.f64 x.re x.im))) #s(literal -1 binary64))
(.f64 x.im (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im))) (-.f64 x.re x.im)))
(.f64 (-.f64 x.re x.im) (/.f64 x.im (fma.f64 x.re x.re (.f64 x.im x.im))))
(.f64 (/.f64 x.im (fma.f64 x.re x.re (.f64 x.im x.im))) (-.f64 x.re x.im))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (.f64 x.im x.im))) (/.f64 (-.f64 x.re x.im) (/.f64 #s(literal 1 binary64) x.im)))
(.f64 (.f64 x.im (-.f64 x.re x.im)) (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im x.im))))
(.f64 (/.f64 x.im #s(literal 1 binary64)) (/.f64 (-.f64 x.re x.im) (fma.f64 x.re x.re (.f64 x.im x.im))))
(.f64 (/.f64 x.im (fma.f64 (.f64 x.im x.im) (.f64 (.f64 x.im x.im) (.f64 x.im x.im)) (.f64 (.f64 x.re x.re) (.f64 x.re (.f64 x.re (.f64 x.re x.re)))))) (/.f64 (-.f64 x.re x.im) (/.f64 #s(literal 1 binary64) (fma.f64 x.re (.f64 x.re (.f64 x.re x.re)) (.f64 (.f64 x.im x.im) (-.f64 (.f64 x.im x.im) (.f64 x.re x.re)))))))
(.f64 (/.f64 x.im (.f64 (+.f64 x.re x.im) (.f64 (fma.f64 x.re x.re (.f64 x.im x.im)) (-.f64 x.re x.im)))) (/.f64 (-.f64 x.re x.im) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))))
(.f64 (/.f64 (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) (/.f64 (/.f64 x.im (fma.f64 x.re x.re (.f64 x.im x.im))) (/.f64 #s(literal 1 binary64) (-.f64 x.re x.im))))
(.f64 (/.f64 (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (fma.f64 x.re (.f64 x.re x.re) (.f64 x.im (.f64 x.im x.im)))) (/.f64 (/.f64 x.im (fma.f64 x.re x.re (.f64 x.im x.im))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im (-.f64 x.im x.re))))))
(.f64 (/.f64 (.f64 x.im (-.f64 x.re x.im)) (fma.f64 (.f64 x.im x.im) (.f64 (.f64 x.im x.im) (.f64 x.im x.im)) (.f64 (.f64 x.re x.re) (.f64 x.re (.f64 x.re (.f64 x.re x.re)))))) (fma.f64 x.re (.f64 x.re (.f64 x.re x.re)) (.f64 (.f64 x.im x.im) (-.f64 (.f64 x.im x.im) (*.f64 x.re x.re)))))
(.f64 (.f64 (/.f64 x.im (fma.f64 x.re x.re (.f64 x.im x.im))) (/.f64 #s(literal 1 binary64) (+.f64 x.re x.im))) (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))
(.f64 (/.f64 (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (/.f64 (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))) (/.f64 (/.f64 x.im (fma.f64 x.re x.re (*.f64 x.im x.im))) (+.f64 x.re x.im)))
(.f64 (/.f64 x.im (+.f64 x.re x.im)) (/.f64 (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (fma.f64 x.re x.re (*.f64 x.im x.im))))
(.f64 (/.f64 (-.f64 x.re x.im) (fma.f64 x.re x.re (.f64 x.im x.im))) (/.f64 x.im #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (/.f64 (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (.f64 (fma.f64 x.im (+.f64 x.re x.im) (.f64 x.re x.re)) (-.f64 x.re x.im)))) (/.f64 (/.f64 x.im (fma.f64 x.re x.re (.f64 x.im x.im))) (fma.f64 x.im (+.f64 x.re x.im) (*.f64 x.re x.re))))
(.f64 (/.f64 (.f64 (fma.f64 x.im (+.f64 x.re x.im) (.f64 x.re x.re)) (-.f64 x.re x.im)) (fma.f64 x.re x.re (.f64 x.im x.im))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x.im (+.f64 x.re x.im) (*.f64 x.re x.re))) (/.f64 #s(literal 1 binary64) x.im)))
(.f64 (/.f64 (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (fma.f64 x.re x.re (*.f64 x.im x.im))) (/.f64 x.im (+.f64 x.re x.im)))
(.f64 (/.f64 (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (fma.f64 x.re x.re (*.f64 x.im x.im))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x.re x.im)) (/.f64 #s(literal 1 binary64) x.im)))
(.f64 (/.f64 (/.f64 (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) (fma.f64 x.re x.re (.f64 x.im x.im))) (/.f64 (-.f64 x.re x.im) (/.f64 #s(literal 1 binary64) x.im)))
(.f64 (/.f64 (/.f64 (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (fma.f64 x.re (.f64 x.re x.re) (.f64 x.im (.f64 x.im x.im)))) (fma.f64 x.re x.re (.f64 x.im x.im))) (/.f64 (fma.f64 x.re x.re (*.f64 x.im (-.f64 x.im x.re))) (/.f64 #s(literal 1 binary64) x.im)))
(.f64 (/.f64 (-.f64 x.re x.im) (fma.f64 (.f64 x.im x.im) (.f64 (.f64 x.im x.im) (.f64 x.im x.im)) (.f64 (.f64 x.re x.re) (.f64 x.re (.f64 x.re (.f64 x.re x.re)))))) (/.f64 x.im (/.f64 #s(literal 1 binary64) (fma.f64 x.re (.f64 x.re (.f64 x.re x.re)) (.f64 (.f64 x.im x.im) (-.f64 (.f64 x.im x.im) (.f64 x.re x.re)))))))
(.f64 (/.f64 (-.f64 x.re x.im) (.f64 (+.f64 x.re x.im) (.f64 (fma.f64 x.re x.re (.f64 x.im x.im)) (-.f64 x.re x.im)))) (/.f64 x.im (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))))
(.f64 (/.f64 (-.f64 x.re x.im) #s(literal -1 binary64)) (/.f64 (neg.f64 x.im) (fma.f64 x.re x.re (.f64 x.im x.im))))
(.f64 (/.f64 (/.f64 x.im (fma.f64 x.re x.re (.f64 x.im x.im))) (fma.f64 x.re (.f64 x.re x.re) (.f64 x.im (.f64 x.im x.im)))) (/.f64 (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (*.f64 x.im (-.f64 x.im x.re))))))
(.f64 (/.f64 (/.f64 x.im (fma.f64 x.re x.re (.f64 x.im x.im))) (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) (/.f64 (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (/.f64 #s(literal 1 binary64) (-.f64 x.re x.im))))
(.f64 (/.f64 (/.f64 x.im (fma.f64 x.re x.re (.f64 x.im x.im))) (/.f64 (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (.f64 (fma.f64 x.im (+.f64 x.re x.im) (.f64 x.re x.re)) (-.f64 x.re x.im)))) (/.f64 (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (fma.f64 x.im (+.f64 x.re x.im) (*.f64 x.re x.re))))
(.f64 (/.f64 (/.f64 x.im (fma.f64 x.re x.re (.f64 x.im x.im))) (/.f64 (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))) (-.f64 x.re x.im))

simplify419.0ms (3.1%)

Memory

-5.5MiB live, 783.9MiB allocated

Algorithm

1×	egg-herbie

Rules

11 766×	`lower-fma.f64`
11 766×	`lower-fma.f32`
4 164×	`lower-+.f64`
4 164×	`lower-+.f32`
4 106×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	438	3809
1	1343	3667
2	4033	3568
0	8384	3433

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 390

Calls

Call 1

Inputs
(* -1 (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))
(* 3 (pow x.re 2))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* 3 (pow x.re 2))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* 3 (pow x.re 2))
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(* -1 (pow x.im 2))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* -1 (pow x.im 2))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* 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 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))
(* -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)) (* 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))))
(* 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 (* 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)))
(/ -1 (pow x.im 2))
(- (* -3 (/ (pow x.re 2) (pow x.im 4))) (/ 1 (pow x.im 2)))
(- (* (pow x.re 2) (- (* -9 (/ (pow x.re 2) (pow x.im 6))) (* 3 (/ 1 (pow x.im 4))))) (/ 1 (pow x.im 2)))
(- (* (pow x.re 2) (- (* (pow x.re 2) (- (* -27 (/ (pow x.re 2) (pow x.im 8))) (* 9 (/ 1 (pow x.im 6))))) (* 3 (/ 1 (pow x.im 4))))) (/ 1 (pow x.im 2)))
(/ 1/3 (pow x.re 2))
(/ (+ 1/3 (* 1/9 (/ (pow x.im 2) (pow x.re 2)))) (pow x.re 2))
(/ (- (+ 1/3 (* 1/27 (/ (pow x.im 4) (pow x.re 4)))) (* -1/9 (/ (pow x.im 2) (pow x.re 2)))) (pow x.re 2))
(/ (- (+ 1/3 (* 1/81 (/ (pow x.im 6) (pow x.re 6)))) (+ (* -1/9 (/ (pow x.im 2) (pow x.re 2))) (* -1/27 (/ (pow x.im 4) (pow x.re 4))))) (pow x.re 2))
(/ 1/3 (pow x.re 2))
(/ (+ 1/3 (* 1/9 (/ (pow x.im 2) (pow x.re 2)))) (pow x.re 2))
(/ (- (+ 1/3 (* 1/27 (/ (pow x.im 4) (pow x.re 4)))) (* -1/9 (/ (pow x.im 2) (pow x.re 2)))) (pow x.re 2))
(/ (- (+ 1/3 (* 1/81 (/ (pow x.im 6) (pow x.re 6)))) (+ (* -1/9 (/ (pow x.im 2) (pow x.re 2))) (* -1/27 (/ (pow x.im 4) (pow x.re 4))))) (pow x.re 2))
(/ 1/3 (pow x.re 2))
(+ (* 1/9 (/ (pow x.im 2) (pow x.re 4))) (* 1/3 (/ 1 (pow x.re 2))))
(+ (* (pow x.im 2) (+ (* 1/27 (/ (pow x.im 2) (pow x.re 6))) (* 1/9 (/ 1 (pow x.re 4))))) (* 1/3 (/ 1 (pow x.re 2))))
(+ (* (pow x.im 2) (+ (* (pow x.im 2) (+ (* 1/81 (/ (pow x.im 2) (pow x.re 8))) (* 1/27 (/ 1 (pow x.re 6))))) (* 1/9 (/ 1 (pow x.re 4))))) (* 1/3 (/ 1 (pow x.re 2))))
(/ -1 (pow x.im 2))
(/ (- (* -3 (/ (pow x.re 2) (pow x.im 2))) 1) (pow x.im 2))
(/ (- (* -9 (/ (pow x.re 4) (pow x.im 4))) (+ 1 (* 3 (/ (pow x.re 2) (pow x.im 2))))) (pow x.im 2))
(/ (- (* -27 (/ (pow x.re 6) (pow x.im 6))) (+ 1 (+ (* 3 (/ (pow x.re 2) (pow x.im 2))) (* 9 (/ (pow x.re 4) (pow x.im 4)))))) (pow x.im 2))
(/ -1 (pow x.im 2))
(/ (- (* -3 (/ (pow x.re 2) (pow x.im 2))) 1) (pow x.im 2))
(/ (- (* -9 (/ (pow x.re 4) (pow x.im 4))) (+ 1 (* 3 (/ (pow x.re 2) (pow x.im 2))))) (pow x.im 2))
(/ (- (* -27 (/ (pow x.re 6) (pow x.im 6))) (+ 1 (+ (* 3 (/ (pow x.re 2) (pow x.im 2))) (* 9 (/ (pow x.re 4) (pow x.im 4)))))) (pow x.im 2))
(* -1 (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))
(* 3 (pow x.re 2))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* 3 (pow x.re 2))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* 3 (pow x.re 2))
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(* -1 (pow x.im 2))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* -1 (pow x.im 2))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* 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 (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 (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 (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 (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)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 2)
(pow x.re 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 (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 (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 (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 (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 x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* x.im x.re)
(* 3 x.re)
(* 3 x.re)
(* 3 x.re)
(* 3 x.re)
(* 3 x.re)
(* 3 x.re)
(* 3 x.re)
(* 3 x.re)
(* 3 x.re)
(* 3 x.re)
(* 3 x.re)
(* 3 x.re)
(* -1 (pow x.im 3))
(- (* 3 (* x.im (pow x.re 2))) (pow x.im 3))
(- (* 3 (* x.im (pow x.re 2))) (pow x.im 3))
(- (* 3 (* x.im (pow x.re 2))) (pow x.im 3))
(* 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 (* 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 (* 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 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))
(* -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))))))
(* 3 x.im)
(* 3 x.im)
(* 3 x.im)
(* 3 x.im)
(* 3 x.im)
(* 3 x.im)
(* 3 x.im)
(* 3 x.im)
(* 3 x.im)
(* 3 x.im)
(* 3 x.im)
(* 3 x.im)
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* 2 x.im))
(+ (* -1 (pow x.im 3)) (+ (* 2 x.im) (* x.im (* x.re (+ x.im (* -1 x.im))))))
(+ (* -1 (pow x.im 3)) (+ (* 2 x.im) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im)))))))
(+ (* -1 (pow x.im 3)) (+ (* 2 x.im) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 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 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 (/ x.im (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))) (+ (* 2 (/ x.im (pow x.re 2))) (/ (* 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 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (* -1 (/ (+ (* -1 (pow x.im 3)) (* 2 x.im)) x.re))) x.re))))
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (* -1 (/ (+ (* -1 (pow x.im 3)) (* 2 x.im)) x.re))) x.re))))
(* x.im (+ 2 (pow x.re 2)))
(* x.im (+ 2 (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))))
(* x.im (+ 2 (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(* x.im (+ 2 (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(* -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.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.im 2)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 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 (/ (- (* -1 (pow x.re 2)) 2) x.im))) x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (- (* -1 (pow x.re 2)) 2) x.im))) x.im)))))
(pow x.im 3)
(+ (* (pow x.im 2) x.re) (pow x.im 3))
(+ (* x.re (+ (* x.im x.re) (pow x.im 2))) (pow x.im 3))
(+ (* x.re (+ (* x.re (+ x.im x.re)) (pow x.im 2))) (pow x.im 3))
(pow x.re 3)
(* (pow x.re 3) (+ 1 (/ x.im x.re)))
(* (pow x.re 3) (+ 1 (+ (/ x.im x.re) (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (+ (/ x.im x.re) (+ (/ (pow x.im 2) (pow x.re 2)) (/ (pow x.im 3) (pow x.re 3))))))
(pow x.re 3)
(* -1 (* (pow x.re 3) (- (* -1 (/ x.im x.re)) 1)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (/ (pow x.im 2) x.re)) x.re)) 1)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 (/ (+ (* -1 (/ (pow x.im 3) x.re)) (* -1 (pow x.im 2))) x.re))) x.re)) 1)))
(pow x.re 3)
(+ (* x.im (pow x.re 2)) (pow x.re 3))
(+ (* x.im (+ (* x.im x.re) (pow x.re 2))) (pow x.re 3))
(+ (* x.im (+ (* x.im (+ x.im x.re)) (pow x.re 2))) (pow x.re 3))
(pow x.im 3)
(* (pow x.im 3) (+ 1 (/ x.re x.im)))
(* (pow x.im 3) (+ 1 (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))))
(* (pow x.im 3) (+ 1 (+ (/ x.re x.im) (+ (/ (pow x.re 2) (pow x.im 2)) (/ (pow x.re 3) (pow x.im 3))))))
(pow x.im 3)
(* -1 (* (pow x.im 3) (- (* -1 (/ x.re x.im)) 1)))
(* -1 (* (pow x.im 3) (- (* -1 (/ (+ x.re (/ (pow x.re 2) x.im)) x.im)) 1)))
(* -1 (* (pow x.im 3) (- (* -1 (/ (+ x.re (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* -1 (pow x.re 2))) x.im))) x.im)) 1)))
x.im
(+ x.im x.re)
(+ x.im x.re)
(+ 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)))
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)))
x.re
(+ x.im x.re)
(+ x.im x.re)
(+ x.im x.re)
x.im
(* x.im (+ 1 (/ x.re x.im)))
(* x.im (+ 1 (/ x.re x.im)))
(* x.im (+ 1 (/ x.re 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)))
(pow x.im 2)
(+ (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.re 2)
(* (pow x.re 2) (+ 1 (/ (pow x.im 2) (pow x.re 2))))
(* (pow x.re 2) (+ 1 (/ (pow x.im 2) (pow x.re 2))))
(* (pow x.re 2) (+ 1 (/ (pow x.im 2) (pow x.re 2))))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (/ (pow x.im 2) (pow x.re 2))))
(* (pow x.re 2) (+ 1 (/ (pow x.im 2) (pow x.re 2))))
(* (pow x.re 2) (+ 1 (/ (pow x.im 2) (pow x.re 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) (pow x.re 2))
(pow x.im 2)
(* (pow x.im 2) (+ 1 (/ (pow x.re 2) (pow x.im 2))))
(* (pow x.im 2) (+ 1 (/ (pow x.re 2) (pow x.im 2))))
(* (pow x.im 2) (+ 1 (/ (pow x.re 2) (pow x.im 2))))
(pow x.im 2)
(* (pow x.im 2) (+ 1 (/ (pow x.re 2) (pow x.im 2))))
(* (pow x.im 2) (+ 1 (/ (pow x.re 2) (pow x.im 2))))
(* (pow x.im 2) (+ 1 (/ (pow x.re 2) (pow x.im 2))))
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(pow x.im 3)
(/ x.im (pow x.re 2))
(* x.im (+ (* -1 (/ (pow x.im 2) (pow x.re 4))) (/ 1 (pow x.re 2))))
(* x.im (+ (* (pow x.im 2) (- (/ (pow x.im 2) (pow x.re 6)) (/ 1 (pow x.re 4)))) (/ 1 (pow x.re 2))))
(* x.im (+ (* (pow x.im 2) (- (* (pow x.im 2) (+ (* -1 (/ (pow x.im 2) (pow x.re 8))) (/ 1 (pow x.re 6)))) (/ 1 (pow x.re 4)))) (/ 1 (pow x.re 2))))
(/ 1 x.im)
(/ (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2)))) x.im)
(/ (- (+ 1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 2) (pow x.im 2))) x.im)
(/ (- (+ 1 (* -1 (/ (pow x.re 6) (pow x.im 6)))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 2) (pow x.im 2)))) x.im)
(/ 1 x.im)
(* -1 (/ (- (/ (pow x.re 2) (pow x.im 2)) 1) x.im))
(* -1 (/ (- (* -1 (/ (pow x.re 4) (pow x.im 4))) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))) x.im))
(* -1 (/ (- (/ (pow x.re 6) (pow x.im 6)) (+ 1 (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 4) (pow x.im 4))))) x.im))
(/ 1 x.im)
(+ (* -1 (/ (pow x.re 2) (pow x.im 3))) (/ 1 x.im))
(+ (* (pow x.re 2) (- (/ (pow x.re 2) (pow x.im 5)) (/ 1 (pow x.im 3)))) (/ 1 x.im))
(+ (* (pow x.re 2) (- (* (pow x.re 2) (+ (* -1 (/ (pow x.re 2) (pow x.im 7))) (/ 1 (pow x.im 5)))) (/ 1 (pow x.im 3)))) (/ 1 x.im))
(/ x.im (pow x.re 2))
(/ (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))) (pow x.re 2))
(/ (- (+ x.im (/ (pow x.im 5) (pow x.re 4))) (/ (pow x.im 3) (pow x.re 2))) (pow x.re 2))
(/ (- (+ x.im (* -1 (/ (pow x.im 7) (pow x.re 6)))) (+ (* -1 (/ (pow x.im 5) (pow x.re 4))) (/ (pow x.im 3) (pow x.re 2)))) (pow x.re 2))
(/ x.im (pow x.re 2))
(/ (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))) (pow x.re 2))
(/ (- (+ x.im (/ (pow x.im 5) (pow x.re 4))) (/ (pow x.im 3) (pow x.re 2))) (pow x.re 2))
(/ (- (+ x.im (* -1 (/ (pow x.im 7) (pow x.re 6)))) (+ (* -1 (/ (pow x.im 5) (pow x.re 4))) (/ (pow x.im 3) (pow x.re 2)))) (pow x.re 2))
-1
(- (/ x.re x.im) 1)
(- (* x.re (+ (/ 1 x.im) (/ x.re (pow x.im 2)))) 1)
(- (* x.re (+ (* x.re (+ (* -1 (/ x.re (pow x.im 3))) (/ 1 (pow x.im 2)))) (/ 1 x.im))) 1)
(/ x.im x.re)
(/ (+ x.im (* -1 (/ (pow x.im 2) x.re))) x.re)
(/ (+ x.im (+ (* -1 (/ (pow x.im 2) x.re)) (* -1 (/ (pow x.im 3) (pow x.re 2))))) x.re)
(/ (- (+ x.im (+ (* -1 (/ (pow x.im 2) x.re)) (/ (pow x.im 4) (pow x.re 3)))) (/ (pow x.im 3) (pow x.re 2))) x.re)
(/ x.im x.re)
(* -1 (/ (+ (* -1 x.im) (/ (pow x.im 2) x.re)) x.re))
(* -1 (/ (+ (* -1 x.im) (* -1 (/ (+ (* -1 (/ (pow x.im 3) x.re)) (* -1 (pow x.im 2))) x.re))) x.re))
(* -1 (/ (+ (* -1 x.im) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow x.im 4) x.re)) (pow x.im 3)) x.re)) (* -1 (pow x.im 2))) x.re))) x.re))
(/ x.im x.re)
(* x.im (+ (* -1 (/ x.im (pow x.re 2))) (/ 1 x.re)))
(* x.im (+ (* x.im (- (* -1 (/ x.im (pow x.re 3))) (/ 1 (pow x.re 2)))) (/ 1 x.re)))
(* x.im (+ (* x.im (- (* x.im (- (/ x.im (pow x.re 4)) (/ 1 (pow x.re 3)))) (/ 1 (pow x.re 2)))) (/ 1 x.re)))
-1
(- (/ x.re x.im) 1)
(- (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))) 1)
(- (+ (* -1 (/ (pow x.re 3) (pow x.im 3))) (/ x.re x.im)) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2)))))
-1
(- (/ x.re x.im) 1)
(- (* -1 (/ (+ (* -1 x.re) (* -1 (/ (pow x.re 2) x.im))) x.im)) 1)
(- (* -1 (/ (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (pow x.re 2)) x.im))) x.im)) 1)

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

eval222.0ms (1.6%)

Memory: 22.1MiB live, 450.8MiB allocated
Compiler: Compiled 53 739 to 3 516 computations (93.5% saved)

prune185.0ms (1.4%)

Memory

-7.8MiB live, 369.9MiB allocated

Pruning

19 alts after pruning (13 fresh and 6 done)

	Pruned	Kept	Total
New	1 531	6	1 537
Fresh	5	7	12
Picked	2	3	5
Done	0	3	3
Total	1 538	19	1 557

Accuracy

100.0%

Counts

1 557 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	80.6%	(fma.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 x.im x.re)) #s(literal 0 binary64))
✓	91.2%	(fma.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im) (.f64 x.re (*.f64 x.re (+.f64 x.im x.im))))
	14.3%	(fma.f64 (.f64 (neg.f64 x.im) (.f64 (-.f64 x.re x.im) (.f64 x.im (.f64 x.im x.im)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)))) (+.f64 x.im x.im))
✓	83.0%	(fma.f64 (.f64 x.re x.re) (.f64 x.im #s(literal 3 binary64)) (neg.f64 (.f64 x.im (.f64 x.im x.im))))
	15.8%	(fma.f64 (.f64 x.im (.f64 x.im x.im)) (.f64 (-.f64 x.re x.im) (/.f64 x.im (fma.f64 x.re x.re (.f64 x.im x.im)))) (+.f64 x.im x.im))
	31.1%	(fma.f64 (neg.f64 (.f64 x.im (-.f64 x.re x.im))) (.f64 (.f64 (+.f64 x.im x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) (/.f64 #s(literal -1 binary64) (fma.f64 x.im x.im (*.f64 x.re x.re)))) #s(literal 0 binary64))
	86.9%	(/.f64 x.im (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) (.f64 x.re x.re) (.f64 x.im (neg.f64 x.im)))))
	57.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x.im (.f64 x.im x.im))))
	55.6%	(.f64 (.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64))
	51.0%	(.f64 (.f64 x.re (*.f64 x.re #s(literal 3 binary64))) x.im)
	55.6%	(.f64 (.f64 x.re (*.f64 x.im #s(literal 3 binary64))) x.re)
	37.4%	(.f64 (.f64 x.re x.im) x.re)
	55.6%	(.f64 (.f64 x.im (*.f64 x.re #s(literal 3 binary64))) x.re)
✓	55.6%	(.f64 (.f64 x.im x.re) (*.f64 x.re #s(literal 3 binary64)))
✓	57.1%	(.f64 (.f64 x.im x.im) (neg.f64 x.im))
✓	86.9%	(.f64 x.im (fma.f64 (.f64 x.re x.re) #s(literal 3 binary64) (neg.f64 (*.f64 x.im x.im))))
	24.7%	(*.f64 x.im (fma.f64 x.re x.re #s(literal 2 binary64)))
	57.1%	(.f64 x.im (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 x.im x.im))))
✓	36.9%	(.f64 x.im (.f64 x.re x.re))

Compiler

Compiled 1 016 to 301 computations (70.4% saved)

regimes71.0ms (0.5%)

Memory

-23.3MiB live, 91.2MiB allocated

Counts

46 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

18.0ms	x.re
15.0ms	x.im
11.0ms	(+.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
95.9%	2	`x.re`
99.5%	2	`x.im`
99.4%	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 27 to 15 computations (44.4% saved)

regimes21.0ms (0.2%)

Memory

17.9MiB live, 56.4MiB allocated

Counts

32 → 2

Calls

Call 1

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

Outputs
(fma.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im) (.f64 x.re (*.f64 x.re (+.f64 x.im x.im))))
(fma.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 x.im x.re)) #s(literal 0 binary64))

Calls

2 calls:

10.0ms	(+.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))
9.0ms	x.im

Results

Accuracy	Segments	Branch
99.4%	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))`
99.4%	2	`x.im`

Compiler

Compiled 24 to 13 computations (45.8% saved)

regimes17.0ms (0.1%)

Memory

13.1MiB live, 50.6MiB allocated

Counts

23 → 2

Calls

Call 1

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

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

Calls

2 calls:

9.0ms	(+.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))
7.0ms	x.im

Results

Accuracy	Segments	Branch
99.4%	2	`x.im`
99.4%	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))`

Compiler

Compiled 24 to 13 computations (45.8% saved)

regimes15.0ms (0.1%)

Memory

2.8MiB live, 39.3MiB allocated

Counts

20 → 3

Calls

Call 1

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

Outputs

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

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

(fma.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 x.im x.re)) #s(literal 0 binary64))

Calls

2 calls:

9.0ms	x.im
5.0ms	(+.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
99.4%	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))`
98.7%	3	`x.im`

Compiler

Compiled 24 to 13 computations (45.8% saved)

regimes9.0ms (0.1%)

Memory

-29.3MiB live, 14.0MiB allocated

Counts

16 → 3

Calls

Call 1

Inputs
(.f64 x.im (.f64 x.re x.re))
(.f64 (.f64 x.re x.im) x.re)
(*.f64 x.im (fma.f64 x.re x.re #s(literal 2 binary64)))
(.f64 (.f64 x.im x.im) (neg.f64 x.im))
(.f64 #s(literal 3 binary64) (.f64 x.im (*.f64 x.re x.re)))
(.f64 #s(literal 3 binary64) (.f64 (*.f64 x.im x.re) x.re))
(.f64 x.im (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(.f64 x.re (.f64 (*.f64 x.re #s(literal 3 binary64)) x.im))
(.f64 (.f64 x.im x.re) (*.f64 x.re #s(literal 3 binary64)))
(.f64 (.f64 x.im (*.f64 x.re #s(literal 3 binary64))) x.re)
(.f64 (.f64 x.re (*.f64 x.im #s(literal 3 binary64))) x.re)
(.f64 (.f64 x.re (*.f64 x.re #s(literal 3 binary64))) x.im)
(.f64 (.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64))
(fma.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 x.im x.re)) #s(literal 0 binary64))
(fma.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 x.re x.im)) (+.f64 x.im x.im))
(.f64 x.im (fma.f64 x.im (neg.f64 x.im) (.f64 #s(literal 3 binary64) (*.f64 x.re x.re))))

Outputs

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

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

(fma.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 x.im x.re)) #s(literal 0 binary64))

Calls

1 calls:

9.0ms

(+.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
99.4%	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))`

Compiler

Compiled 21 to 11 computations (47.6% saved)

regimes5.0ms (0%)

Memory

12.4MiB live, 12.4MiB allocated

Counts

15 → 3

Calls

Call 1

Inputs
(.f64 x.im (.f64 x.re x.re))
(.f64 (.f64 x.re x.im) x.re)
(*.f64 x.im (fma.f64 x.re x.re #s(literal 2 binary64)))
(.f64 (.f64 x.im x.im) (neg.f64 x.im))
(.f64 #s(literal 3 binary64) (.f64 x.im (*.f64 x.re x.re)))
(.f64 #s(literal 3 binary64) (.f64 (*.f64 x.im x.re) x.re))
(.f64 x.im (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(.f64 x.re (.f64 (*.f64 x.re #s(literal 3 binary64)) x.im))
(.f64 (.f64 x.im x.re) (*.f64 x.re #s(literal 3 binary64)))
(.f64 (.f64 x.im (*.f64 x.re #s(literal 3 binary64))) x.re)
(.f64 (.f64 x.re (*.f64 x.im #s(literal 3 binary64))) x.re)
(.f64 (.f64 x.re (*.f64 x.re #s(literal 3 binary64))) x.im)
(.f64 (.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64))
(fma.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 x.im x.re)) #s(literal 0 binary64))
(fma.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 x.re x.im)) (+.f64 x.im x.im))

Outputs

(fma.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 x.im x.re)) #s(literal 0 binary64))

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

(fma.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 x.im x.re)) #s(literal 0 binary64))

Calls

1 calls:

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
98.8%	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))`

Compiler

Compiled 21 to 11 computations (47.6% saved)

regimes15.0ms (0.1%)

Memory

-1.3MiB live, 36.0MiB allocated

Counts

13 → 3

Calls

Call 1

Inputs
(.f64 x.im (.f64 x.re x.re))
(.f64 (.f64 x.re x.im) x.re)
(*.f64 x.im (fma.f64 x.re x.re #s(literal 2 binary64)))
(.f64 (.f64 x.im x.im) (neg.f64 x.im))
(.f64 #s(literal 3 binary64) (.f64 x.im (*.f64 x.re x.re)))
(.f64 #s(literal 3 binary64) (.f64 (*.f64 x.im x.re) x.re))
(.f64 x.im (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(.f64 x.re (.f64 (*.f64 x.re #s(literal 3 binary64)) x.im))
(.f64 (.f64 x.im x.re) (*.f64 x.re #s(literal 3 binary64)))
(.f64 (.f64 x.im (*.f64 x.re #s(literal 3 binary64))) x.re)
(.f64 (.f64 x.re (*.f64 x.im #s(literal 3 binary64))) x.re)
(.f64 (.f64 x.re (*.f64 x.re #s(literal 3 binary64))) x.im)
(.f64 (.f64 x.re (*.f64 x.re x.im)) #s(literal 3 binary64))

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

Calls

3 calls:

6.0ms	x.im
4.0ms	x.re
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
83.6%	2	`x.re`
79.2%	2	`x.im`
94.9%	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))`

Compiler

Compiled 27 to 15 computations (44.4% saved)

regimes3.0ms (0%)

Memory

10.2MiB live, 10.2MiB allocated

Counts

8 → 3

Calls

Call 1

Inputs
(.f64 x.im (.f64 x.re x.re))
(.f64 (.f64 x.re x.im) x.re)
(*.f64 x.im (fma.f64 x.re x.re #s(literal 2 binary64)))
(.f64 (.f64 x.im x.im) (neg.f64 x.im))
(.f64 #s(literal 3 binary64) (.f64 x.im (*.f64 x.re x.re)))
(.f64 #s(literal 3 binary64) (.f64 (*.f64 x.im x.re) x.re))
(.f64 x.im (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))
(.f64 x.re (.f64 (*.f64 x.re #s(literal 3 binary64)) x.im))

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

Calls

1 calls:

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
94.9%	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))`

Compiler

Compiled 21 to 11 computations (47.6% saved)

regimes3.0ms (0%)

Memory

9.0MiB live, 9.0MiB allocated

Counts

7 → 3

Calls

Call 1

Inputs
(.f64 x.im (.f64 x.re x.re))
(.f64 (.f64 x.re x.im) x.re)
(*.f64 x.im (fma.f64 x.re x.re #s(literal 2 binary64)))
(.f64 (.f64 x.im x.im) (neg.f64 x.im))
(.f64 #s(literal 3 binary64) (.f64 x.im (*.f64 x.re x.re)))
(.f64 #s(literal 3 binary64) (.f64 (*.f64 x.im x.re) x.re))
(.f64 x.im (.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))

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

Calls

1 calls:

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
94.8%	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))`

Compiler

Compiled 21 to 11 computations (47.6% saved)

regimes3.0ms (0%)

Memory

-31.9MiB live, 7.7MiB allocated

Counts

5 → 3

Calls

Call 1

Inputs
(.f64 x.im (.f64 x.re x.re))
(.f64 (.f64 x.re x.im) x.re)
(*.f64 x.im (fma.f64 x.re x.re #s(literal 2 binary64)))
(.f64 (.f64 x.im x.im) (neg.f64 x.im))
(.f64 #s(literal 3 binary64) (.f64 x.im (*.f64 x.re x.re)))

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

Calls

1 calls:

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
90.2%	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))`

Compiler

Compiled 21 to 11 computations (47.6% saved)

regimes7.0ms (0%)

Memory

20.1MiB live, 20.1MiB allocated

Counts

4 → 3

Calls

Call 1

Inputs
(.f64 x.im (.f64 x.re x.re))
(.f64 (.f64 x.re x.im) x.re)
(*.f64 x.im (fma.f64 x.re x.re #s(literal 2 binary64)))
(.f64 (.f64 x.im x.im) (neg.f64 x.im))

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

Calls

3 calls:

2.0ms	x.im
2.0ms	x.re
2.0ms	(+.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
62.7%	2	`x.im`
74.7%	2	`x.re`
76.7%	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))`

Compiler

Compiled 27 to 15 computations (44.4% saved)

regimes6.0ms (0%)

Memory

-21.9MiB live, 17.7MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs
(.f64 x.im (.f64 x.re x.re))
(.f64 (.f64 x.re x.im) x.re)
(*.f64 x.im (fma.f64 x.re x.re #s(literal 2 binary64)))

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

Calls

3 calls:

2.0ms	x.im
2.0ms	x.re
2.0ms	(+.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
37.4%	1	`x.im`
37.4%	1	`x.re`
37.4%	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 27 to 15 computations (44.4% saved)

regimes4.0ms (0%)

Memory

13.4MiB live, 13.4MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

1.0ms	x.im
1.0ms	x.re
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
36.9%	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))`
36.9%	1	`x.re`
36.9%	1	`x.im`

Compiler

Compiled 27 to 15 computations (44.4% saved)

bsearch21.0ms (0.2%)

Memory

9.4MiB live, 50.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	3.248118748142372e+88	1.593071799527128e+98

Samples

11.0ms

160×

valid

Compiler

Compiled 434 to 236 computations (45.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 6.0ms (78.1% of total)

ival-sub: 1.0ms (13% of total)

ival-add: 1.0ms (13% of total)

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

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

bsearch16.0ms (0.1%)

Memory

-4.2MiB live, 34.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	2.943431135794592e+51	1.2562251421512518e+54

Samples

10.0ms

128×

valid

Compiler

Compiled 280 to 160 computations (42.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 4.0ms (66.2% of total)

ival-sub: 1.0ms (16.6% of total)

ival-add: 1.0ms (16.6% of total)

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

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

bsearch1.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.943431135794592e+51	1.2562251421512518e+54

Compiler

Compiled 256 to 160 computations (37.5% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	2.0386575632305587e+59	7.46251205186986e+84

Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	7.757458328972708e+21	9.772606142748995e+30

Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-1.996e-321	0.0

Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-1.996e-321	0.0

Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-1.996e-321	0.0

Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-1.996e-321	0.0

Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-1.996e-321	0.0

Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	+inf	NaN
0.0ms	-1.996e-321	0.0

Compiler

Compiled 24 to 16 computations (33.3% saved)

simplify12.0ms (0.1%)

Memory

-11.4MiB live, 27.9MiB allocated

Algorithm

1×	egg-herbie

Rules

48×	`*-commutative_binary64`
16×	`+-commutative_binary64`
10×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	634
1	122	634
2	132	634
3	135	634

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x.im #s(literal 155999999999999997818445671780797445099720037221101013738812296175731433841508161175319847286865920 binary64)) (fma.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im) (.f64 x.re (.f64 x.re (+.f64 x.im x.im)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x.re x.im) (.f64 x.re (fma.f64 x.im (/.f64 x.im x.re) x.im)) (+.f64 x.im x.im)))))
(if (<=.f64 x.im #s(literal 1250000000000000012793833775510688937038048516915593216 binary64)) (fma.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im) (.f64 x.re (.f64 x.re (+.f64 x.im x.im)))) (fma.f64 (-.f64 x.re x.im) (.f64 x.im (+.f64 x.im x.re)) #s(literal 0 binary64)))
(if (<=.f64 x.im #s(literal 1250000000000000012793833775510688937038048516915593216 binary64)) (fma.f64 (.f64 x.im (.f64 x.re #s(literal 3 binary64))) x.re (neg.f64 (.f64 x.im (.f64 x.im x.im)))) (fma.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 x.im x.re)) #s(literal 0 binary64)))
(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 399999999999999988675152198241856803399745313464708631625728 binary64)) (.f64 x.im (fma.f64 (.f64 x.re x.re) #s(literal 3 binary64) (neg.f64 (.f64 x.im 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)) (.f64 (.f64 x.im x.re) (.f64 x.re #s(literal 3 binary64))) (fma.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 x.im x.re)) #s(literal 0 binary64))))
(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 10000000000000000000000 binary64)) (.f64 x.im (fma.f64 x.im (neg.f64 x.im) (.f64 #s(literal 3 binary64) (.f64 x.re 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 +inf.0 binary64)) (.f64 #s(literal 3 binary64) (.f64 (.f64 x.im x.re) x.re)) (fma.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 x.im x.re)) #s(literal 0 binary64))))
(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 -101/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (fma.f64 (-.f64 x.re x.im) (.f64 x.im (+.f64 x.im x.re)) #s(literal 0 binary64)) (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 x.im x.re) (.f64 x.re #s(literal 3 binary64))) (fma.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 x.im x.re)) #s(literal 0 binary64))))
(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 -101/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (.f64 (.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)) (.f64 (.f64 x.im x.re) (.f64 x.re #s(literal 3 binary64))) (.f64 (*.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 -101/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (.f64 (.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)) (.f64 x.re (.f64 (.f64 x.re #s(literal 3 binary64)) x.im)) (.f64 (*.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 -101/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (.f64 (.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)) (.f64 #s(literal 3 binary64) (.f64 (.f64 x.im x.re) x.re)) (.f64 (*.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 -101/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (.f64 (.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)) (.f64 #s(literal 3 binary64) (.f64 x.im (.f64 x.re x.re))) (.f64 (*.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 -101/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (.f64 (.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)) (.f64 (.f64 x.re x.im) x.re) (.f64 (.f64 x.im x.im) (neg.f64 x.im))))
(.f64 (.f64 x.re x.im) x.re)
(.f64 x.im (.f64 x.re x.re))

Outputs
(if (<=.f64 x.im #s(literal 155999999999999997818445671780797445099720037221101013738812296175731433841508161175319847286865920 binary64)) (fma.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im) (.f64 x.re (.f64 x.re (+.f64 x.im x.im)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x.re x.im) (.f64 x.re (fma.f64 x.im (/.f64 x.im x.re) x.im)) (+.f64 x.im x.im)))))
(if (<=.f64 x.im #s(literal 155999999999999997818445671780797445099720037221101013738812296175731433841508161175319847286865920 binary64)) (fma.f64 (+.f64 x.im x.re) (.f64 x.im (-.f64 x.re x.im)) (.f64 x.re (.f64 x.re (+.f64 x.im x.im)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x.re x.im) (.f64 x.re (fma.f64 x.im (/.f64 x.im x.re) x.im)) (+.f64 x.im x.im)))))
(if (<=.f64 x.im #s(literal 1250000000000000012793833775510688937038048516915593216 binary64)) (fma.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im) (.f64 x.re (.f64 x.re (+.f64 x.im x.im)))) (fma.f64 (-.f64 x.re x.im) (.f64 x.im (+.f64 x.im x.re)) #s(literal 0 binary64)))
(if (<=.f64 x.im #s(literal 1250000000000000012793833775510688937038048516915593216 binary64)) (fma.f64 (+.f64 x.im x.re) (.f64 x.im (-.f64 x.re x.im)) (.f64 x.re (.f64 x.re (+.f64 x.im x.im)))) (fma.f64 (-.f64 x.re x.im) (.f64 x.im (+.f64 x.im x.re)) #s(literal 0 binary64)))
(if (<=.f64 x.im #s(literal 1250000000000000012793833775510688937038048516915593216 binary64)) (fma.f64 (.f64 x.im (.f64 x.re #s(literal 3 binary64))) x.re (neg.f64 (.f64 x.im (.f64 x.im x.im)))) (fma.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 x.im x.re)) #s(literal 0 binary64)))
(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 399999999999999988675152198241856803399745313464708631625728 binary64)) (.f64 x.im (fma.f64 (.f64 x.re x.re) #s(literal 3 binary64) (neg.f64 (.f64 x.im 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)) (.f64 (.f64 x.im x.re) (.f64 x.re #s(literal 3 binary64))) (fma.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 x.im x.re)) #s(literal 0 binary64))))
(if (<=.f64 (+.f64 (.f64 x.im (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 x.re (+.f64 (.f64 x.im x.re) (.f64 x.im x.re)))) #s(literal 399999999999999988675152198241856803399745313464708631625728 binary64)) (.f64 x.im (fma.f64 (.f64 x.re x.re) #s(literal 3 binary64) (.f64 x.im (neg.f64 x.im)))) (if (<=.f64 (+.f64 (.f64 x.im (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 x.re (+.f64 (.f64 x.im x.re) (.f64 x.im x.re)))) #s(literal +inf.0 binary64)) (.f64 (.f64 x.re #s(literal 3 binary64)) (.f64 x.im x.re)) (fma.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 x.im x.re)) #s(literal 0 binary64))))
(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 10000000000000000000000 binary64)) (.f64 x.im (fma.f64 x.im (neg.f64 x.im) (.f64 #s(literal 3 binary64) (.f64 x.re 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 +inf.0 binary64)) (.f64 #s(literal 3 binary64) (.f64 (.f64 x.im x.re) x.re)) (fma.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 x.im x.re)) #s(literal 0 binary64))))
(if (<=.f64 (+.f64 (.f64 x.im (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 x.re (+.f64 (.f64 x.im x.re) (.f64 x.im x.re)))) #s(literal 10000000000000000000000 binary64)) (.f64 x.im (fma.f64 x.im (neg.f64 x.im) (.f64 #s(literal 3 binary64) (.f64 x.re x.re)))) (if (<=.f64 (+.f64 (.f64 x.im (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 x.re (+.f64 (.f64 x.im x.re) (.f64 x.im x.re)))) #s(literal +inf.0 binary64)) (.f64 #s(literal 3 binary64) (.f64 x.re (.f64 x.im x.re))) (fma.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 x.im x.re)) #s(literal 0 binary64))))
(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 -101/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (fma.f64 (-.f64 x.re x.im) (.f64 x.im (+.f64 x.im x.re)) #s(literal 0 binary64)) (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 x.im x.re) (.f64 x.re #s(literal 3 binary64))) (fma.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 x.im x.re)) #s(literal 0 binary64))))
(if (<=.f64 (+.f64 (.f64 x.im (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 x.re (+.f64 (.f64 x.im x.re) (.f64 x.im x.re)))) #s(literal -101/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (fma.f64 (-.f64 x.re x.im) (.f64 x.im (+.f64 x.im x.re)) #s(literal 0 binary64)) (if (<=.f64 (+.f64 (.f64 x.im (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 x.re (+.f64 (.f64 x.im x.re) (.f64 x.im x.re)))) #s(literal +inf.0 binary64)) (.f64 (.f64 x.re #s(literal 3 binary64)) (.f64 x.im x.re)) (fma.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 x.im x.re)) #s(literal 0 binary64))))
(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 -101/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (.f64 (.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)) (.f64 (.f64 x.im x.re) (.f64 x.re #s(literal 3 binary64))) (.f64 (*.f64 x.im x.im) (neg.f64 x.im))))
(if (<=.f64 (+.f64 (.f64 x.im (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 x.re (+.f64 (.f64 x.im x.re) (.f64 x.im x.re)))) #s(literal -101/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (neg.f64 (.f64 x.im (.f64 x.im x.im))) (if (<=.f64 (+.f64 (.f64 x.im (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 x.re (+.f64 (.f64 x.im x.re) (.f64 x.im x.re)))) #s(literal +inf.0 binary64)) (.f64 (.f64 x.re #s(literal 3 binary64)) (.f64 x.im x.re)) (neg.f64 (.f64 x.im (*.f64 x.im 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 -101/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (.f64 (.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)) (.f64 x.re (.f64 (.f64 x.re #s(literal 3 binary64)) x.im)) (.f64 (*.f64 x.im x.im) (neg.f64 x.im))))
(if (<=.f64 (+.f64 (.f64 x.im (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 x.re (+.f64 (.f64 x.im x.re) (.f64 x.im x.re)))) #s(literal -101/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (neg.f64 (.f64 x.im (.f64 x.im x.im))) (if (<=.f64 (+.f64 (.f64 x.im (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 x.re (+.f64 (.f64 x.im x.re) (.f64 x.im x.re)))) #s(literal +inf.0 binary64)) (.f64 x.re (.f64 x.im (.f64 x.re #s(literal 3 binary64)))) (neg.f64 (.f64 x.im (*.f64 x.im 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 -101/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (.f64 (.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)) (.f64 #s(literal 3 binary64) (.f64 (.f64 x.im x.re) x.re)) (.f64 (*.f64 x.im x.im) (neg.f64 x.im))))
(if (<=.f64 (+.f64 (.f64 x.im (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 x.re (+.f64 (.f64 x.im x.re) (.f64 x.im x.re)))) #s(literal -101/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (neg.f64 (.f64 x.im (.f64 x.im x.im))) (if (<=.f64 (+.f64 (.f64 x.im (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 x.re (+.f64 (.f64 x.im x.re) (.f64 x.im x.re)))) #s(literal +inf.0 binary64)) (.f64 #s(literal 3 binary64) (.f64 x.re (.f64 x.im x.re))) (neg.f64 (.f64 x.im (*.f64 x.im 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 -101/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (.f64 (.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)) (.f64 #s(literal 3 binary64) (.f64 x.im (.f64 x.re x.re))) (.f64 (*.f64 x.im x.im) (neg.f64 x.im))))
(if (<=.f64 (+.f64 (.f64 x.im (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 x.re (+.f64 (.f64 x.im x.re) (.f64 x.im x.re)))) #s(literal -101/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (neg.f64 (.f64 x.im (.f64 x.im x.im))) (if (<=.f64 (+.f64 (.f64 x.im (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 x.re (+.f64 (.f64 x.im x.re) (.f64 x.im x.re)))) #s(literal +inf.0 binary64)) (.f64 #s(literal 3 binary64) (.f64 x.im (.f64 x.re x.re))) (neg.f64 (.f64 x.im (*.f64 x.im 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 -101/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (.f64 (.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)) (.f64 (.f64 x.re x.im) x.re) (.f64 (.f64 x.im x.im) (neg.f64 x.im))))
(if (<=.f64 (+.f64 (.f64 x.im (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 x.re (+.f64 (.f64 x.im x.re) (.f64 x.im x.re)))) #s(literal -101/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (neg.f64 (.f64 x.im (.f64 x.im x.im))) (if (<=.f64 (+.f64 (.f64 x.im (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 x.re (+.f64 (.f64 x.im x.re) (.f64 x.im x.re)))) #s(literal +inf.0 binary64)) (.f64 x.re (.f64 x.im x.re)) (neg.f64 (.f64 x.im (.f64 x.im x.im)))))
(.f64 (.f64 x.re x.im) x.re)
(.f64 x.re (.f64 x.im x.re))
(.f64 x.im (.f64 x.re x.re))

soundness1.7s (12.1%)

Memory

5.6MiB live, 1 085.6MiB allocated

Rules

23 906×	`lower-fma.f32`
23 900×	`lower-fma.f64`
16 068×	`lower-fma.f64`
16 068×	`lower-fma.f32`
9 572×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	51
0	20	51
1	79	39
0	536	38
0	27	161
0	52	147
1	199	141
2	1599	136
0	8233	135
0	577	4564
1	1939	3832
2	7972	3788
0	8444	3675
0	36	294
0	71	212
1	289	145
2	2563	145
0	8447	145
0	57	891
1	182	855
2	585	855
3	2562	855
4	6883	855
0	8692	855
0	748	6947
1	2629	5041
0	9477	4937
0	30	179
0	59	167
1	254	137
2	2188	137
0	8224	136

Stop Event

1×	fuel
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×	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 1 751 to 507 computations (71% saved)

preprocess180.0ms (1.3%)

Memory: -6.2MiB live, 278.6MiB allocated
Remove: (abs x.re)
Compiler: Compiled 1 844 to 424 computations (77% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample2.0s (14.9%)

preprocess906.0ms (6.7%)

explain281.0ms (2.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify633.0ms (4.6%)

localize77.0ms (0.6%)

series13.0ms (0.1%)

rewrite58.0ms (0.4%)

simplify407.0ms (3%)

eval21.0ms (0.2%)

prune17.0ms (0.1%)

simplify404.0ms (3%)

localize144.0ms (1.1%)

series42.0ms (0.3%)

rewrite697.0ms (5.1%)

simplify383.0ms (2.8%)

eval854.0ms (6.3%)

prune583.0ms (4.3%)

simplify303.0ms (2.2%)

localize108.0ms (0.8%)

series30.0ms (0.2%)

rewrite462.0ms (3.4%)

simplify330.0ms (2.4%)

eval363.0ms (2.7%)

prune385.0ms (2.8%)

simplify622.0ms (4.6%)

localize103.0ms (0.8%)

series18.0ms (0.1%)

rewrite453.0ms (3.3%)

simplify419.0ms (3.1%)

eval222.0ms (1.6%)

prune185.0ms (1.4%)

regimes71.0ms (0.5%)

regimes21.0ms (0.2%)

regimes17.0ms (0.1%)

regimes15.0ms (0.1%)

regimes9.0ms (0.1%)

regimes5.0ms (0%)

regimes15.0ms (0.1%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes7.0ms (0%)

regimes6.0ms (0%)

regimes4.0ms (0%)

bsearch21.0ms (0.2%)

bsearch16.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify12.0ms (0.1%)

soundness1.7s (12.1%)

preprocess180.0ms (1.3%)

end0.0ms (0%)

Profiling