Metrics for math.cube on complex, real part

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.9MiB live, 0.9MiB 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)

sample877.0ms (7.1%)

Memory

18.4MiB live, 1 562.7MiB allocated

Samples

625.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 451.0ms

ival-mult: 317.0ms (70.3% of total)

ival-sub: 76.0ms (16.9% of total)

ival-add: 49.0ms (10.9% of total)

ival-true: 5.0ms (1.1% of total)

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

Bogosity

explain168.0ms (1.4%)

Memory

12.4MiB live, 210.3MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	nan-rescue	20	0
↳	`(*.f64 x.re x.re)`	overflow	61
↳	`(*.f64 x.im x.im)`	overflow	62
`-.f64`	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`	nan-rescue	18	0
↳	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)`	overflow	103
↳	`(*.f64 x.re x.re)`	overflow	61
↳	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	overflow	103
↳	`(*.f64 x.im x.im)`	overflow	62
↳	`(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)`	overflow	62
↳	`(*.f64 x.im x.re)`	overflow	33
↳	`(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))`	overflow	33
↳	`(*.f64 x.re x.im)`	overflow	33
`*.f64`	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)`	*no**	14	0

Confusion

	Predicted +	Predicted -
+	44	0
-	0	212

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	44	0	0
-	0	0	212

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	212
1	36
2	8

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

70.0ms

512×

valid

Compiler

Compiled 155 to 37 computations (76.1% saved)

Precisions

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

ival-mult: 20.0ms (72.9% of total)

ival-sub: 4.0ms (14.6% of total)

ival-add: 2.0ms (7.3% of total)

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

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

preprocess486.0ms (3.9%)

Memory

16.5MiB live, 281.1MiB allocated

Algorithm

1×	egg-herbie

Rules

22 902×	`lower-fma.f64`
22 902×	`lower-fma.f32`
3 052×	`lower-*.f32`
3 040×	`lower-*.f64`
2 270×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	107
1	106	89
2	308	85
3	1267	55
4	3190	55
5	5166	55
6	6218	55
7	6536	55
8	6791	55
9	6886	55
10	6903	55
11	7825	55
0	11	19
0	20	19
1	38	17
2	80	17
3	236	11
4	666	11
5	2137	11
6	4288	11
7	6316	11
8	7399	11
9	7722	11
10	7761	11
11	7761	11
0	8052	10

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

Outputs

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

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

Symmetry

(abs x.im)

(negabs x.re)

Compiler

Compiled 21 to 11 computations (47.6% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	83.0%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))

Compiler

Compiled 21 to 11 computations (47.6% saved)

simplify593.0ms (4.8%)

Memory

-29.5MiB live, 303.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

22 902×	`lower-fma.f64`
22 902×	`lower-fma.f32`
3 052×	`lower-*.f32`
3 040×	`lower-*.f64`
2 270×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	65
0	20	65
1	38	59
2	80	59
3	236	53
4	666	53
5	2137	53
6	4288	53
7	6316	53
8	7399	53
9	7722	53
10	7761	53
11	7761	53
0	8052	52

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

localize52.0ms (0.4%)

Memory

9.4MiB live, 47.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.1171875	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
accuracy	3.4062990733556866	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
accuracy	3.6562500000000004	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
accuracy	4.5937252299624705	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))

Samples

42.0ms

256×

valid

Compiler

Compiled 67 to 13 computations (80.6% saved)

Precisions

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

ival-mult: 9.0ms (72.7% of total)

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

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

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

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

series12.0ms (0.1%)

Memory

16.0MiB live, 16.0MiB allocated

Counts

5 → 120

Calls

Call 1

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

Outputs
#s(alt (* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2)))) (taylor 0 x.re) (#s(alt (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) (patch (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ())
#s(alt (* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2)))) (taylor 0 x.re) (#s(alt (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) (patch (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ())
#s(alt (* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2)))) (taylor 0 x.re) (#s(alt (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) (patch (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ())
#s(alt (* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2)))) (taylor 0 x.re) (#s(alt (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) (patch (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ())
#s(alt (pow x.re 3) (taylor inf x.re) (#s(alt (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) (patch (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2))))) (taylor inf x.re) (#s(alt (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) (patch (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2))))) (taylor inf x.re) (#s(alt (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) (patch (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2))))) (taylor inf x.re) (#s(alt (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) (patch (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ())
#s(alt (pow x.re 3) (taylor -inf x.re) (#s(alt (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) (patch (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) (taylor -inf x.re) (#s(alt (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) (patch (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) (taylor -inf x.re) (#s(alt (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) (patch (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2))))))) (taylor -inf x.re) (#s(alt (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) (patch (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ())
#s(alt (pow x.re 3) (taylor 0 x.im) (#s(alt (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) (patch (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3)) (taylor 0 x.im) (#s(alt (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) (patch (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3)) (taylor 0 x.im) (#s(alt (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) (patch (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ())
#s(alt (+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3)) (taylor 0 x.im) (#s(alt (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) (patch (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (taylor inf x.im) (#s(alt (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) (patch (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) (taylor inf x.im) (#s(alt (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) (patch (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) (taylor inf x.im) (#s(alt (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) (patch (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) (taylor inf x.im) (#s(alt (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) (patch (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (taylor -inf x.im) (#s(alt (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) (patch (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) (taylor -inf x.im) (#s(alt (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) (patch (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) (taylor -inf x.im) (#s(alt (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) (patch (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re))) (taylor -inf x.im) (#s(alt (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) (patch (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor 0 x.re) (#s(alt (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) (patch (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor 0 x.re) (#s(alt (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) (patch (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor 0 x.re) (#s(alt (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) (patch (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor 0 x.re) (#s(alt (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) (patch (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor inf x.re) (#s(alt (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) (patch (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor inf x.re) (#s(alt (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) (patch (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor inf x.re) (#s(alt (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) (patch (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor inf x.re) (#s(alt (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) (patch (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor -inf x.re) (#s(alt (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) (patch (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor -inf x.re) (#s(alt (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) (patch (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor -inf x.re) (#s(alt (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) (patch (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor -inf x.re) (#s(alt (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) (patch (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor 0 x.im) (#s(alt (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) (patch (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor 0 x.im) (#s(alt (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) (patch (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor 0 x.im) (#s(alt (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) (patch (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor 0 x.im) (#s(alt (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) (patch (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor inf x.im) (#s(alt (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) (patch (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor inf x.im) (#s(alt (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) (patch (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor inf x.im) (#s(alt (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) (patch (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor inf x.im) (#s(alt (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) (patch (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor -inf x.im) (#s(alt (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) (patch (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor -inf x.im) (#s(alt (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) (patch (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor -inf x.im) (#s(alt (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) (patch (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor -inf x.im) (#s(alt (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) (patch (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x.im 2)) (taylor 0 x.re) (#s(alt (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (patch (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (- (pow x.re 2) (pow x.im 2)) (taylor 0 x.re) (#s(alt (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (patch (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (- (pow x.re 2) (pow x.im 2)) (taylor 0 x.re) (#s(alt (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (patch (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (- (pow x.re 2) (pow x.im 2)) (taylor 0 x.re) (#s(alt (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (patch (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (pow x.re 2) (taylor inf x.re) (#s(alt (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (patch (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) (taylor inf x.re) (#s(alt (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (patch (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) (taylor inf x.re) (#s(alt (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (patch (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) (taylor inf x.re) (#s(alt (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (patch (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (pow x.re 2) (taylor -inf x.re) (#s(alt (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (patch (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) (taylor -inf x.re) (#s(alt (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (patch (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) (taylor -inf x.re) (#s(alt (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (patch (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) (taylor -inf x.re) (#s(alt (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (patch (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (pow x.re 2) (taylor 0 x.im) (#s(alt (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (patch (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow x.im 2)) (pow x.re 2)) (taylor 0 x.im) (#s(alt (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (patch (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow x.im 2)) (pow x.re 2)) (taylor 0 x.im) (#s(alt (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (patch (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow x.im 2)) (pow x.re 2)) (taylor 0 x.im) (#s(alt (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (patch (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x.im 2)) (taylor inf x.im) (#s(alt (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (patch (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1)) (taylor inf x.im) (#s(alt (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (patch (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1)) (taylor inf x.im) (#s(alt (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (patch (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1)) (taylor inf x.im) (#s(alt (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (patch (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x.im 2)) (taylor -inf x.im) (#s(alt (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (patch (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1)) (taylor -inf x.im) (#s(alt (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (patch (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1)) (taylor -inf x.im) (#s(alt (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (patch (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1)) (taylor -inf x.im) (#s(alt (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (patch (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.im 2) x.re)) (taylor 0 x.re) (#s(alt (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (patch (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ())
#s(alt (* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2))) (taylor 0 x.re) (#s(alt (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (patch (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ())
#s(alt (* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2))) (taylor 0 x.re) (#s(alt (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (patch (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ())
#s(alt (* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2))) (taylor 0 x.re) (#s(alt (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (patch (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ())
#s(alt (pow x.re 3) (taylor inf x.re) (#s(alt (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (patch (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) (taylor inf x.re) (#s(alt (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (patch (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) (taylor inf x.re) (#s(alt (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (patch (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) (taylor inf x.re) (#s(alt (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (patch (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ())
#s(alt (pow x.re 3) (taylor -inf x.re) (#s(alt (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (patch (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1))) (taylor -inf x.re) (#s(alt (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (patch (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1))) (taylor -inf x.re) (#s(alt (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (patch (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1))) (taylor -inf x.re) (#s(alt (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (patch (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ())
#s(alt (pow x.re 3) (taylor 0 x.im) (#s(alt (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (patch (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3)) (taylor 0 x.im) (#s(alt (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (patch (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3)) (taylor 0 x.im) (#s(alt (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (patch (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3)) (taylor 0 x.im) (#s(alt (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (patch (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.im 2) x.re)) (taylor inf x.im) (#s(alt (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (patch (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2)))) (taylor inf x.im) (#s(alt (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (patch (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2)))) (taylor inf x.im) (#s(alt (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (patch (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2)))) (taylor inf x.im) (#s(alt (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (patch (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.im 2) x.re)) (taylor -inf x.im) (#s(alt (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (patch (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2)))) (taylor -inf x.im) (#s(alt (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (patch (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2)))) (taylor -inf x.im) (#s(alt (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (patch (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2)))) (taylor -inf x.im) (#s(alt (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (patch (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor 0 x.re) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor 0 x.re) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor 0 x.re) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor 0 x.re) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor inf x.re) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor inf x.re) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor inf x.re) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor inf x.re) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor -inf x.re) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor -inf x.re) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor -inf x.re) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor -inf x.re) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor 0 x.im) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor 0 x.im) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor 0 x.im) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor 0 x.im) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor inf x.im) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor inf x.im) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor inf x.im) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor inf x.im) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor -inf x.im) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor -inf x.im) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor -inf x.im) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ())
#s(alt (* 2 (* (pow x.im 2) x.re)) (taylor -inf x.im) (#s(alt (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) (patch (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im) #<representation binary64>) () ())) ())

Calls

30 calls:

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

simplify374.0ms (3%)

Memory

-29.4MiB live, 178.0MiB allocated

Algorithm

1×	egg-herbie

Rules

12 920×	`lower-fma.f64`
12 920×	`lower-fma.f32`
2 972×	`lower-*.f64`
2 972×	`lower-*.f32`
1 384×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	924
1	169	852
2	519	852
3	2117	852
4	5791	852
0	8250	834

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

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

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

rewrite51.0ms (0.4%)

Memory

18.9MiB live, 56.7MiB allocated

Rules

348×	`lower-fma.f64`
348×	`lower-fma.f32`
336×	`lower-*.f32`
324×	`lower-*.f64`
152×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	51
0	20	51
1	83	39
0	572	38

Stop Event

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

Counts

5 → 92

Calls

Call 1

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

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

eval47.0ms (0.4%)

Memory: 0.8MiB live, 38.0MiB allocated
Compiler: Compiled 5 021 to 320 computations (93.6% saved)

prune70.0ms (0.6%)

Memory

0.5MiB live, 38.5MiB allocated

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	200	12	212
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	201	12	213

Accuracy

99.9%

Counts

213 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	93.5%	(fma.f64 (.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)))
	16.5%	(-.f64 (/.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 (.f64 x.im x.im) (.f64 x.im x.im)))) 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.re x.im) (*.f64 x.im x.re)) x.im))
	33.5%	(-.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.re) (fma.f64 x.re x.re (.f64 x.im x.im))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
	22.0%	(-.f64 (/.f64 (.f64 x.re (.f64 (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (.f64 (.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)))) (fma.f64 x.im (.f64 x.re (+.f64 x.im x.im)) (.f64 (.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)))) (/.f64 (.f64 x.im (.f64 (.f64 x.re (+.f64 x.im x.im)) (.f64 x.im (.f64 x.re (+.f64 x.im x.im))))) (fma.f64 x.im (.f64 x.re (+.f64 x.im x.im)) (.f64 (.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)))))
▶	82.9%	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) #s(approx ( (+ (* x.re x.im) (* x.im x.re)) x.im) (.f64 x.re (.f64 x.im (*.f64 x.im #s(literal 2 binary64))))))
▶	92.7%	(-.f64 (.f64 (.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) (.f64 x.im (.f64 x.re (+.f64 x.im x.im))))
	65.0%	(-.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
	51.7%	(-.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (neg.f64 (.f64 x.im x.im))) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
	13.6%	(.f64 (-.f64 (.f64 (.f64 (.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) (.f64 x.re (.f64 (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (.f64 (.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))))) (.f64 (.f64 x.im (.f64 x.re (+.f64 x.im x.im))) (.f64 x.im (.f64 (.f64 x.re (+.f64 x.im x.im)) (.f64 x.im (.f64 x.re (+.f64 x.im x.im))))))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re (.f64 (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (.f64 (.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) (.f64 (.f64 x.im (.f64 x.re (+.f64 x.im x.im))) (fma.f64 x.im (.f64 x.re (+.f64 x.im x.im)) (.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)))))))
▶	91.5%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (fma.f64 x.re x.re (.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))))
	51.7%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))
▶	59.5%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (.f64 x.re x.re)))

Compiler

Compiled 776 to 286 computations (63.1% saved)

simplify484.0ms (3.9%)

Memory

-23.7MiB live, 343.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
cost-diff	0	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) #s(approx ( (+ (* x.re x.im) (* x.im x.re)) x.im) (.f64 x.re (.f64 x.im (*.f64 x.im #s(literal 2 binary64))))))
cost-diff	128	(*.f64 x.im #s(literal 2 binary64))
cost-diff	128	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
cost-diff	0	(+.f64 x.re x.im)
cost-diff	0	(*.f64 x.re (+.f64 x.re x.im))
cost-diff	0	(.f64 (.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))
cost-diff	704	(-.f64 (.f64 (.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) (.f64 x.im (.f64 x.re (+.f64 x.im x.im))))
cost-diff	0	(.f64 (.f64 x.im x.im) #s(literal -3 binary64))
cost-diff	0	(fma.f64 x.re x.re (.f64 (.f64 x.im x.im) #s(literal -3 binary64)))
cost-diff	0	(.f64 x.re (fma.f64 x.re x.re (.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))
cost-diff	0	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (fma.f64 x.re x.re (.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))))
cost-diff	0	(*.f64 x.re x.re)
cost-diff	0	(.f64 x.re (.f64 x.re x.re))
cost-diff	0	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (.f64 x.re x.re)))
cost-diff	0	(neg.f64 x.im)
cost-diff	0	(+.f64 x.im x.im)
cost-diff	0	(*.f64 x.re (+.f64 x.im x.im))
cost-diff	704	(fma.f64 (.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)))

Rules

18 170×	`lower-fma.f32`
18 166×	`lower-fma.f64`
3 132×	`lower-*.f32`
3 106×	`lower-*.f64`
2 312×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	280
0	60	275
1	129	265
2	249	265
3	688	240
4	1776	240
5	4444	240
6	6764	240
0	8244	239

Stop Event

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

Calls

Call 1

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

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

localize149.0ms (1.2%)

Memory

7.1MiB live, 159.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	3.4062990733556866	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
accuracy	3.6562500000000004	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) #s(approx ( (+ (* x.re x.im) (* x.im x.re)) x.im) (.f64 x.re (.f64 x.im (*.f64 x.im #s(literal 2 binary64))))))
accuracy	4.5937252299624705	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
accuracy	6.418641335417709	(.f64 x.re (.f64 x.im (*.f64 x.im #s(literal 2 binary64))))
accuracy	0.01171875	(*.f64 x.re (+.f64 x.re x.im))
accuracy	0.1171875	(.f64 x.im (.f64 x.re (+.f64 x.im x.im)))
accuracy	0.125	(.f64 (.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))
accuracy	3.6562500000000004	(-.f64 (.f64 (.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) (.f64 x.im (.f64 x.re (+.f64 x.im x.im))))
accuracy	0	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (fma.f64 x.re x.re (.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))))
accuracy	0.13671875	(.f64 (.f64 x.im x.im) #s(literal -3 binary64))
accuracy	1.999977980844482	(fma.f64 x.re x.re (.f64 (.f64 x.im x.im) #s(literal -3 binary64)))
accuracy	3.3941307613365748	(.f64 x.re (fma.f64 x.re x.re (.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))
accuracy	0	(*.f64 x.re x.re)
accuracy	0.11328125	(.f64 x.re (.f64 x.re x.re))
accuracy	25.86434328533547	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (.f64 x.re x.re)))
accuracy	0	(neg.f64 x.im)
accuracy	0.01171875	(*.f64 x.re (+.f64 x.re x.im))
accuracy	0.125	(.f64 (.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))
accuracy	3.2539062500000004	(fma.f64 (.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)))

Samples

95.0ms

256×

valid

Compiler

Compiled 252 to 33 computations (86.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-sub: 29.0ms (48.2% of total)

ival-mult: 24.0ms (39.9% of total)

ival-add: 6.0ms (10% of total)

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

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

exact: 0.0ms (0% of total)

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

series32.0ms (0.3%)

Memory

3.9MiB live, 74.4MiB allocated

Counts

21 → 432

Calls

Call 1

Inputs
#s(alt (fma.f64 (.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (.f64 (.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) (patch (fma.f64 (.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (.f64 (.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) #<representation binary64>) () ())
#s(alt (.f64 x.re (+.f64 x.im x.im)) (patch (.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())
#s(alt (+.f64 x.im x.im) (patch (+.f64 x.im x.im) #<representation binary64>) () ())
#s(alt (neg.f64 x.im) (patch (neg.f64 x.im) #<representation binary64>) () ())
#s(alt #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (.f64 x.re x.re))) (patch #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (.f64 x.re x.re))) #<representation binary64>) () ())
#s(alt (.f64 x.re (.f64 x.re x.re)) (patch (.f64 x.re (.f64 x.re x.re)) #<representation binary64>) () ())
#s(alt (.f64 x.re x.re) (patch (.f64 x.re x.re) #<representation binary64>) () ())
#s(alt #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (fma.f64 x.re x.re (.f64 (.f64 x.im x.im) #s(literal -3 binary64))))) (patch #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (fma.f64 x.re x.re (.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))) #<representation binary64>) () ())
#s(alt (.f64 x.re (fma.f64 x.re x.re (.f64 (.f64 x.im x.im) #s(literal -3 binary64)))) (patch (.f64 x.re (fma.f64 x.re x.re (.f64 (.f64 x.im x.im) #s(literal -3 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 x.re x.re (.f64 (.f64 x.im x.im) #s(literal -3 binary64))) (patch (fma.f64 x.re x.re (.f64 (.f64 x.im x.im) #s(literal -3 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) (patch (.f64 (.f64 x.im x.im) #s(literal -3 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 (.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) (.f64 x.im (.f64 x.re (+.f64 x.im x.im)))) (patch (-.f64 (.f64 (.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) (.f64 x.im (.f64 x.re (+.f64 x.im x.im)))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) (patch (.f64 (.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) #<representation binary64>) () ())
#s(alt (.f64 x.re (+.f64 x.re x.im)) (patch (.f64 x.re (+.f64 x.re x.im)) #<representation binary64>) () ())
#s(alt (+.f64 x.re x.im) (patch (+.f64 x.re x.im) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (patch (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) #<representation binary64>) () ())
#s(alt (.f64 x.im #s(literal 2 binary64)) (patch (.f64 x.im #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) #s(approx ( (+ (* x.re x.im) (* x.im x.re)) x.im) (.f64 x.re (.f64 x.im (.f64 x.im #s(literal 2 binary64)))))) (patch (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) #s(approx (* (+ (* x.re x.im) (* x.im x.re)) x.im) (.f64 x.re (.f64 x.im (*.f64 x.im #s(literal 2 binary64)))))) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (patch (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) #<representation binary64>) () ())
#s(alt (.f64 x.im (.f64 x.re (+.f64 x.im x.im))) (patch (.f64 x.im (.f64 x.re (+.f64 x.im x.im))) #<representation binary64>) () ())
#s(alt (.f64 x.re (.f64 x.im (.f64 x.im #s(literal 2 binary64)))) (patch (.f64 x.re (.f64 x.im (.f64 x.im #s(literal 2 binary64)))) #<representation binary64>) () ())

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

Calls

108 calls:

Time	Variable		Point	Expression
3.0ms	x.im	@	-inf	(+ x.re x.im)
3.0ms	x.im	@	inf	(* x.im 2)
2.0ms	x.re	@	0	(+ (* (* x.re (+ x.im x.im)) (neg x.im)) (* (* x.re (+ x.re x.im)) (- x.re x.im)))
0.0ms	x.re	@	0	(* x.re (+ (* x.re x.re) (* (* x.im x.im) -3)))
0.0ms	x.re	@	inf	(+ (* (* x.re (+ x.im x.im)) (neg x.im)) (* (* x.re (+ x.re x.im)) (- x.re x.im)))

simplify276.0ms (2.2%)

Memory

-9.8MiB live, 405.0MiB allocated

Algorithm

1×	egg-herbie

Rules

13 250×	`lower-fma.f64`
13 250×	`lower-fma.f32`
3 142×	`lower-*.f64`
3 142×	`lower-*.f32`
2 988×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	219	4656
1	725	3916
2	2255	3402
3	7347	3402
0	8249	3264

Stop Event

1×	iter limit
1×	node limit

Counts

432 → 426

Calls

Call 1

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

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

rewrite317.0ms (2.6%)

Memory

23.6MiB live, 178.7MiB allocated

Rules

1 734×	`lower-fma.f32`
1 730×	`lower-fma.f64`
860×	`lower-*.f32`
838×	`lower-*.f64`
480×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	207
0	60	197
1	243	163
0	1597	159

Stop Event

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

Counts

21 → 724

Calls

Call 1

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

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

eval186.0ms (1.5%)

Memory: -1.5MiB live, 425.9MiB allocated
Compiler: Compiled 32 120 to 1 793 computations (94.4% saved)

prune274.0ms (2.2%)

Memory

-2.6MiB live, 387.5MiB allocated

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	1 468	14	1 482
Fresh	6	1	7
Picked	3	2	5
Done	0	0	0
Total	1 477	17	1 494

Accuracy

100.0%

Counts

1 494 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	59.7%	(fma.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 x.re x.im)) (+.f64 x.im x.im))
	76.4%	(fma.f64 (+.f64 x.im x.im) x.re (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re)))
	66.4%	(fma.f64 (.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (.f64 #s(approx (* x.re (+ x.re x.im)) (*.f64 x.re x.im)) (-.f64 x.re x.im)))
▶	89.5%	(fma.f64 (.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (.f64 #s(approx (* x.re (+ x.re x.im)) (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (-.f64 x.re x.im)))
▶	51.7%	(fma.f64 (.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) #s(approx ( (* x.re (+ x.re x.im)) (- x.re x.im)) (.f64 x.re (.f64 x.im (neg.f64 x.im)))))
▶	60.3%	(-.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re)) (+.f64 x.im x.im))
	79.0%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (fma.f64 (.f64 x.re (.f64 x.im x.im)) #s(literal -3 binary64) (.f64 x.re (.f64 x.re x.re))))
	84.9%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (fma.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64)) (.f64 x.re (.f64 x.re x.re))))
▶	82.6%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (fma.f64 (.f64 x.re #s(literal -3 binary64)) (.f64 x.im x.im) (.f64 x.re (.f64 x.re x.re))))
	84.9%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (fma.f64 x.im (.f64 (.f64 x.im #s(literal -3 binary64)) x.re) (.f64 x.re (.f64 x.re x.re))))
	59.6%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64)))
	33.2%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (/.f64 (.f64 (.f64 (fma.f64 x.re x.re (.f64 (.f64 x.im x.im) #s(literal -3 binary64))) (fma.f64 x.re x.re (.f64 #s(literal 3 binary64) (.f64 x.im x.im)))) x.re) (fma.f64 x.re x.re (.f64 #s(literal 3 binary64) (.f64 x.im x.im)))))
	61.7%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.im x.im) (.f64 x.re (fma.f64 x.re (/.f64 x.re (.f64 x.im x.im)) #s(literal -3 binary64)))))
✓	91.5%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (fma.f64 x.re x.re (.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))))
	51.7%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))
✓	59.5%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (.f64 x.re x.re)))
▶	51.7%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))

Compiler

Compiled 495 to 249 computations (49.7% saved)

simplify382.0ms (3.1%)

Memory

7.8MiB live, 511.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 x.im)
cost-diff	0	(+.f64 x.im x.im)
cost-diff	0	(*.f64 x.re (+.f64 x.im x.im))
cost-diff	0	(fma.f64 (.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) #s(approx ( (* x.re (+ x.re x.im)) (- x.re x.im)) (.f64 x.re (.f64 x.im (neg.f64 x.im)))))
cost-diff	0	(*.f64 x.im x.im)
cost-diff	0	(*.f64 x.re #s(literal -3 binary64))
cost-diff	0	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (fma.f64 (.f64 x.re #s(literal -3 binary64)) (.f64 x.im x.im) (.f64 x.re (.f64 x.re x.re))))
cost-diff	320	(fma.f64 (.f64 x.re #s(literal -3 binary64)) (.f64 x.im x.im) (.f64 x.re (.f64 x.re x.re)))
cost-diff	0	(*.f64 (-.f64 x.re x.im) x.re)
cost-diff	0	(+.f64 x.re x.im)
cost-diff	0	(.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re))
cost-diff	0	(-.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re)) (+.f64 x.im x.im))
cost-diff	0	(*.f64 x.im #s(literal -3 binary64))
cost-diff	0	(.f64 x.im (.f64 x.im #s(literal -3 binary64)))
cost-diff	0	(.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64))))
cost-diff	0	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
cost-diff	0	(+.f64 x.im x.im)
cost-diff	0	(*.f64 x.re (+.f64 x.im x.im))
cost-diff	0	(fma.f64 (.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (.f64 #s(approx (* x.re (+ x.re x.im)) (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (-.f64 x.re x.im)))
cost-diff	896	(*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))

Rules

23 614×	`lower-fma.f32`
23 606×	`lower-fma.f64`
3 110×	`lower-*.f32`
3 082×	`lower-*.f64`
2 648×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	296
0	70	290
1	145	287
2	298	284
3	903	265
4	2257	258
5	5788	258
0	8084	255

Stop Event

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

Calls

Call 1

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

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

localize151.0ms (1.2%)

Memory

-17.8MiB live, 341.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 x.im)
accuracy	3.2539062500000004	(fma.f64 (.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) #s(approx ( (* x.re (+ x.re x.im)) (- x.re x.im)) (.f64 x.re (.f64 x.im (neg.f64 x.im)))))
accuracy	6.4212374388433755	(.f64 x.re (.f64 x.im (neg.f64 x.im)))
accuracy	27.593774711463816	#s(approx (* (* x.re (+ x.re x.im)) (- x.re x.im)) (.f64 x.re (.f64 x.im (neg.f64 x.im))))
accuracy	0	(*.f64 x.im x.im)
accuracy	0	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (fma.f64 (.f64 x.re #s(literal -3 binary64)) (.f64 x.im x.im) (.f64 x.re (.f64 x.re x.re))))
accuracy	0.11328125	(.f64 x.re (.f64 x.re x.re))
accuracy	10.654180794695614	(fma.f64 (.f64 x.re #s(literal -3 binary64)) (.f64 x.im x.im) (.f64 x.re (.f64 x.re x.re)))
accuracy	0	(+.f64 x.re x.im)
accuracy	0	(+.f64 x.im x.im)
accuracy	0.00390625	(*.f64 (-.f64 x.re x.im) x.re)
accuracy	0.1171875	(.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re))
accuracy	0	(*.f64 x.im #s(literal -3 binary64))
accuracy	0.11328125	(.f64 x.im (.f64 x.im #s(literal -3 binary64)))
accuracy	6.383589509838292	(.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64))))
accuracy	27.586172966678756	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
accuracy	0.0625	(fma.f64 x.re (/.f64 x.re x.im) x.re)
accuracy	0.125	(.f64 #s(approx ( x.re (+ x.re x.im)) (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (-.f64 x.re x.im))
accuracy	3.2539062500000004	(fma.f64 (.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (.f64 #s(approx (* x.re (+ x.re x.im)) (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (-.f64 x.re x.im)))
accuracy	4.505228060840904	(*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))

Samples

106.0ms

256×

valid

Compiler

Compiled 241 to 39 computations (83.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 83.0ms

ival-mult: 64.0ms (77.1% of total)

ival-add: 11.0ms (13.3% of total)

ival-sub: 5.0ms (6% of total)

ival-div: 2.0ms (2.4% of total)

ival-neg: 1.0ms (1.2% of total)

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

exact: 0.0ms (0% of total)

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

series32.0ms (0.3%)

Memory

-9.7MiB live, 72.7MiB allocated

Counts

23 → 468

Calls

Call 1

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

Outputs
#s(alt (pow x.re 2) (taylor 0 x.im) (#s(alt (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (patch (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im x.re) (pow x.re 2)) (taylor 0 x.im) (#s(alt (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (patch (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im x.re) (pow x.re 2)) (taylor 0 x.im) (#s(alt (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (patch (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im x.re) (pow x.re 2)) (taylor 0 x.im) (#s(alt (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (patch (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) #<representation binary64>) () ())) ())
#s(alt (* x.im x.re) (taylor inf x.im) (#s(alt (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (patch (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ x.re (/ (pow x.re 2) x.im))) (taylor inf x.im) (#s(alt (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (patch (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ x.re (/ (pow x.re 2) x.im))) (taylor inf x.im) (#s(alt (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (patch (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ x.re (/ (pow x.re 2) x.im))) (taylor inf x.im) (#s(alt (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (patch (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) #<representation binary64>) () ())) ())
#s(alt (* x.im x.re) (taylor -inf x.im) (#s(alt (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (patch (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.im (+ (* -1 x.re) (* -1 (/ (pow x.re 2) x.im))))) (taylor -inf x.im) (#s(alt (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (patch (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.im (+ (* -1 x.re) (* -1 (/ (pow x.re 2) x.im))))) (taylor -inf x.im) (#s(alt (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (patch (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.im (+ (* -1 x.re) (* -1 (/ (pow x.re 2) x.im))))) (taylor -inf x.im) (#s(alt (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (patch (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) #<representation binary64>) () ())) ())
#s(alt (* x.im x.re) (taylor 0 x.re) (#s(alt (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (patch (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) #<representation binary64>) () ())) ())
#s(alt (* x.re (+ x.im x.re)) (taylor 0 x.re) (#s(alt (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (patch (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) #<representation binary64>) () ())) ())
#s(alt (* x.re (+ x.im x.re)) (taylor 0 x.re) (#s(alt (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (patch (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) #<representation binary64>) () ())) ())
#s(alt (* x.re (+ x.im x.re)) (taylor 0 x.re) (#s(alt (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (patch (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) #<representation binary64>) () ())) ())
#s(alt (pow x.re 2) (taylor inf x.re) (#s(alt (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (patch (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ 1 (/ x.im x.re))) (taylor inf x.re) (#s(alt (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (patch (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ 1 (/ x.im x.re))) (taylor inf x.re) (#s(alt (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (patch (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ 1 (/ x.im x.re))) (taylor inf x.re) (#s(alt (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (patch (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) #<representation binary64>) () ())) ())
#s(alt (pow x.re 2) (taylor -inf x.re) (#s(alt (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (patch (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ 1 (/ x.im x.re))) (taylor -inf x.re) (#s(alt (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (patch (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ 1 (/ x.im x.re))) (taylor -inf x.re) (#s(alt (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (patch (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ 1 (/ x.im x.re))) (taylor -inf x.re) (#s(alt (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (patch (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) #<representation binary64>) () ())) ())
#s(alt (* x.re (+ (* -2 (pow x.im 2)) (* -1 (pow x.im 2)))) (taylor 0 x.re) (#s(alt (fma.f64 (.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (.f64 #s(approx (* x.re (+ x.re x.im)) (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (-.f64 x.re x.im))) (patch (fma.f64 (.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (.f64 #s(approx ( x.re (+ x.re x.im)) (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (* x.re (+ (* -2 (pow x.im 2)) (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))))) (taylor 0 x.re) (#s(alt (fma.f64 (.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (.f64 #s(approx (* x.re (+ x.re x.im)) (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (-.f64 x.re x.im))) (patch (fma.f64 (.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (.f64 #s(approx ( x.re (+ x.re x.im)) (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (* x.re (+ (* -2 (pow x.im 2)) (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))))) (taylor 0 x.re) (#s(alt (fma.f64 (.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (.f64 #s(approx (* x.re (+ x.re x.im)) (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (-.f64 x.re x.im))) (patch (fma.f64 (.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (.f64 #s(approx ( x.re (+ x.re x.im)) (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (* x.re (+ (* -2 (pow x.im 2)) (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))))) (taylor 0 x.re) (#s(alt (fma.f64 (.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (.f64 #s(approx (* x.re (+ x.re x.im)) (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (-.f64 x.re x.im))) (patch (fma.f64 (.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (.f64 #s(approx ( x.re (+ x.re x.im)) (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (pow x.re 3) (taylor inf x.re) (#s(alt (fma.f64 (.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (.f64 #s(approx (* x.re (+ x.re x.im)) (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (-.f64 x.re x.im))) (patch (fma.f64 (.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (.f64 #s(approx ( x.re (+ x.re x.im)) (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re)))) (taylor inf x.re) (#s(alt (fma.f64 (.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (.f64 #s(approx (* x.re (+ x.re x.im)) (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (-.f64 x.re x.im))) (patch (fma.f64 (.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (.f64 #s(approx ( x.re (+ x.re x.im)) (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 3) (+ 1 (+ (* -2 (/ (pow x.im 2) (pow x.re 2))) (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))))) (taylor inf x.re) (#s(alt (fma.f64 (.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (.f64 #s(approx (* x.re (+ x.re x.im)) (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (-.f64 x.re x.im))) (patch (fma.f64 (.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (.f64 #s(approx ( x.re (+ x.re x.im)) (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 3) (+ 1 (+ (* -2 (/ (pow x.im 2) (pow x.re 2))) (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))))) (taylor inf x.re) (#s(alt (fma.f64 (.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (.f64 #s(approx (* x.re (+ x.re x.im)) (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (-.f64 x.re x.im))) (patch (fma.f64 (.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (.f64 #s(approx ( x.re (+ x.re x.im)) (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (pow x.re 3) (taylor -inf x.re) (#s(alt (fma.f64 (.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (.f64 #s(approx (* x.re (+ x.re x.im)) (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (-.f64 x.re x.im))) (patch (fma.f64 (.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (.f64 #s(approx ( x.re (+ x.re x.im)) (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1))) (taylor -inf x.re) (#s(alt (fma.f64 (.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (.f64 #s(approx (* x.re (+ x.re x.im)) (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (-.f64 x.re x.im))) (patch (fma.f64 (.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (.f64 #s(approx ( x.re (+ x.re x.im)) (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) x.re)))) x.re)) 1))) (taylor -inf x.re) (#s(alt (fma.f64 (.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (.f64 #s(approx (* x.re (+ x.re x.im)) (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (-.f64 x.re x.im))) (patch (fma.f64 (.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (.f64 #s(approx ( x.re (+ x.re x.im)) (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) x.re)))) x.re)) 1))) (taylor -inf x.re) (#s(alt (fma.f64 (.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (.f64 #s(approx (* x.re (+ x.re x.im)) (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (-.f64 x.re x.im))) (patch (fma.f64 (.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (.f64 #s(approx ( x.re (+ x.re x.im)) (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (pow x.re 3) (taylor 0 x.im) (#s(alt (fma.f64 (.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (.f64 #s(approx (* x.re (+ x.re x.im)) (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (-.f64 x.re x.im))) (patch (fma.f64 (.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (.f64 #s(approx ( x.re (+ x.re x.im)) (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3)) (taylor 0 x.im) (#s(alt (fma.f64 (.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (.f64 #s(approx (* x.re (+ x.re x.im)) (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (-.f64 x.re x.im))) (patch (fma.f64 (.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (.f64 #s(approx ( x.re (+ x.re x.im)) (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im (+ (* x.im (+ (* -2 x.re) (* -1 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3)) (taylor 0 x.im) (#s(alt (fma.f64 (.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (.f64 #s(approx (* x.re (+ x.re x.im)) (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (-.f64 x.re x.im))) (patch (fma.f64 (.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (.f64 #s(approx ( x.re (+ x.re x.im)) (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im (+ (* x.im (+ (* -2 x.re) (* -1 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3)) (taylor 0 x.im) (#s(alt (fma.f64 (.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (.f64 #s(approx (* x.re (+ x.re x.im)) (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (-.f64 x.re x.im))) (patch (fma.f64 (.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (.f64 #s(approx ( x.re (+ x.re x.im)) (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (+ (* -2 x.re) (* -1 x.re))) (taylor inf x.im) (#s(alt (fma.f64 (.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (.f64 #s(approx (* x.re (+ x.re x.im)) (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (-.f64 x.re x.im))) (patch (fma.f64 (.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (.f64 #s(approx ( x.re (+ x.re x.im)) (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (+ (* -2 x.re) (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)))) (taylor inf x.im) (#s(alt (fma.f64 (.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (.f64 #s(approx (* x.re (+ x.re x.im)) (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (-.f64 x.re x.im))) (patch (fma.f64 (.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (.f64 #s(approx ( x.re (+ x.re x.im)) (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (+ (* -2 x.re) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))))) (taylor inf x.im) (#s(alt (fma.f64 (.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (.f64 #s(approx (* x.re (+ x.re x.im)) (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (-.f64 x.re x.im))) (patch (fma.f64 (.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (.f64 #s(approx ( x.re (+ x.re x.im)) (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (+ (* -2 x.re) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))))) (taylor inf x.im) (#s(alt (fma.f64 (.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (.f64 #s(approx (* x.re (+ x.re x.im)) (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (-.f64 x.re x.im))) (patch (fma.f64 (.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (.f64 #s(approx ( x.re (+ x.re x.im)) (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (+ (* -2 x.re) (* -1 x.re))) (taylor -inf x.im) (#s(alt (fma.f64 (.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (.f64 #s(approx (* x.re (+ x.re x.im)) (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (-.f64 x.re x.im))) (patch (fma.f64 (.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (.f64 #s(approx ( x.re (+ x.re x.im)) (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (+ (* -2 x.re) (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im))))) (taylor -inf x.im) (#s(alt (fma.f64 (.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (.f64 #s(approx (* x.re (+ x.re x.im)) (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (-.f64 x.re x.im))) (patch (fma.f64 (.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (.f64 #s(approx ( x.re (+ x.re x.im)) (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (+ (* -2 x.re) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))))) (taylor -inf x.im) (#s(alt (fma.f64 (.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (.f64 #s(approx (* x.re (+ x.re x.im)) (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (-.f64 x.re x.im))) (patch (fma.f64 (.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (.f64 #s(approx ( x.re (+ x.re x.im)) (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (+ (* -2 x.re) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))))) (taylor -inf x.im) (#s(alt (fma.f64 (.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (.f64 #s(approx (* x.re (+ x.re x.im)) (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (-.f64 x.re x.im))) (patch (fma.f64 (.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (.f64 #s(approx ( x.re (+ x.re x.im)) (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (-.f64 x.re x.im))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor 0 x.re) (#s(alt (.f64 x.re (+.f64 x.im x.im)) (patch (.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor 0 x.re) (#s(alt (.f64 x.re (+.f64 x.im x.im)) (patch (.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor 0 x.re) (#s(alt (.f64 x.re (+.f64 x.im x.im)) (patch (.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor 0 x.re) (#s(alt (.f64 x.re (+.f64 x.im x.im)) (patch (.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor inf x.re) (#s(alt (.f64 x.re (+.f64 x.im x.im)) (patch (.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor inf x.re) (#s(alt (.f64 x.re (+.f64 x.im x.im)) (patch (.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor inf x.re) (#s(alt (.f64 x.re (+.f64 x.im x.im)) (patch (.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor inf x.re) (#s(alt (.f64 x.re (+.f64 x.im x.im)) (patch (.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor -inf x.re) (#s(alt (.f64 x.re (+.f64 x.im x.im)) (patch (.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor -inf x.re) (#s(alt (.f64 x.re (+.f64 x.im x.im)) (patch (.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor -inf x.re) (#s(alt (.f64 x.re (+.f64 x.im x.im)) (patch (.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor -inf x.re) (#s(alt (.f64 x.re (+.f64 x.im x.im)) (patch (.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor 0 x.im) (#s(alt (.f64 x.re (+.f64 x.im x.im)) (patch (.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor 0 x.im) (#s(alt (.f64 x.re (+.f64 x.im x.im)) (patch (.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor 0 x.im) (#s(alt (.f64 x.re (+.f64 x.im x.im)) (patch (.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor 0 x.im) (#s(alt (.f64 x.re (+.f64 x.im x.im)) (patch (.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor inf x.im) (#s(alt (.f64 x.re (+.f64 x.im x.im)) (patch (.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor inf x.im) (#s(alt (.f64 x.re (+.f64 x.im x.im)) (patch (.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor inf x.im) (#s(alt (.f64 x.re (+.f64 x.im x.im)) (patch (.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor inf x.im) (#s(alt (.f64 x.re (+.f64 x.im x.im)) (patch (.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor -inf x.im) (#s(alt (.f64 x.re (+.f64 x.im x.im)) (patch (.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor -inf x.im) (#s(alt (.f64 x.re (+.f64 x.im x.im)) (patch (.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor -inf x.im) (#s(alt (.f64 x.re (+.f64 x.im x.im)) (patch (.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* x.im x.re)) (taylor -inf x.im) (#s(alt (.f64 x.re (+.f64 x.im x.im)) (patch (.f64 x.re (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* 2 x.im) (taylor 0 x.im) (#s(alt (+.f64 x.im x.im) (patch (+.f64 x.im x.im) #<representation binary64>) () ())) ())
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#s(alt (pow x.re 3) (taylor -inf x.re) (#s(alt (.f64 #s(approx ( x.re (+ x.re x.im)) (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (-.f64 x.re x.im)) (patch (.f64 #s(approx (* x.re (+ x.re x.im)) (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (-.f64 x.re x.im)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1))) (taylor -inf x.re) (#s(alt (.f64 #s(approx ( x.re (+ x.re x.im)) (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (-.f64 x.re x.im)) (patch (.f64 #s(approx (* x.re (+ x.re x.im)) (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (-.f64 x.re x.im)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))) x.re)) 1))) (taylor -inf x.re) (#s(alt (.f64 #s(approx ( x.re (+ x.re x.im)) (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (-.f64 x.re x.im)) (patch (.f64 #s(approx (* x.re (+ x.re x.im)) (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (-.f64 x.re x.im)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))) x.re)) 1))) (taylor -inf x.re) (#s(alt (.f64 #s(approx ( x.re (+ x.re x.im)) (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (-.f64 x.re x.im)) (patch (.f64 #s(approx (* x.re (+ x.re x.im)) (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (-.f64 x.re x.im)) #<representation binary64>) () ())) ())
#s(alt (pow x.re 3) (taylor 0 x.im) (#s(alt (.f64 #s(approx ( x.re (+ x.re x.im)) (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (-.f64 x.re x.im)) (patch (.f64 #s(approx (* x.re (+ x.re x.im)) (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (-.f64 x.re x.im)) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3)) (taylor 0 x.im) (#s(alt (.f64 #s(approx ( x.re (+ x.re x.im)) (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (-.f64 x.re x.im)) (patch (.f64 #s(approx (* x.re (+ x.re x.im)) (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (-.f64 x.re x.im)) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3)) (taylor 0 x.im) (#s(alt (.f64 #s(approx ( x.re (+ x.re x.im)) (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (-.f64 x.re x.im)) (patch (.f64 #s(approx (* x.re (+ x.re x.im)) (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (-.f64 x.re x.im)) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3)) (taylor 0 x.im) (#s(alt (.f64 #s(approx ( x.re (+ x.re x.im)) (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (-.f64 x.re x.im)) (patch (.f64 #s(approx (* x.re (+ x.re x.im)) (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (-.f64 x.re x.im)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.im 2) x.re)) (taylor inf x.im) (#s(alt (.f64 #s(approx ( x.re (+ x.re x.im)) (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (-.f64 x.re x.im)) (patch (.f64 #s(approx (* x.re (+ x.re x.im)) (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (-.f64 x.re x.im)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im))) (taylor inf x.im) (#s(alt (.f64 #s(approx ( x.re (+ x.re x.im)) (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (-.f64 x.re x.im)) (patch (.f64 #s(approx (* x.re (+ x.re x.im)) (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (-.f64 x.re x.im)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2))))) (taylor inf x.im) (#s(alt (.f64 #s(approx ( x.re (+ x.re x.im)) (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (-.f64 x.re x.im)) (patch (.f64 #s(approx (* x.re (+ x.re x.im)) (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (-.f64 x.re x.im)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2))))) (taylor inf x.im) (#s(alt (.f64 #s(approx ( x.re (+ x.re x.im)) (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (-.f64 x.re x.im)) (patch (.f64 #s(approx (* x.re (+ x.re x.im)) (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (-.f64 x.re x.im)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.im 2) x.re)) (taylor -inf x.im) (#s(alt (.f64 #s(approx ( x.re (+ x.re x.im)) (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (-.f64 x.re x.im)) (patch (.f64 #s(approx (* x.re (+ x.re x.im)) (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (-.f64 x.re x.im)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im)))) (taylor -inf x.im) (#s(alt (.f64 #s(approx ( x.re (+ x.re x.im)) (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (-.f64 x.re x.im)) (patch (.f64 #s(approx (* x.re (+ x.re x.im)) (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (-.f64 x.re x.im)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im)))) (taylor -inf x.im) (#s(alt (.f64 #s(approx ( x.re (+ x.re x.im)) (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (-.f64 x.re x.im)) (patch (.f64 #s(approx (* x.re (+ x.re x.im)) (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (-.f64 x.re x.im)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im)))) (taylor -inf x.im) (#s(alt (.f64 #s(approx ( x.re (+ x.re x.im)) (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (-.f64 x.re x.im)) (patch (.f64 #s(approx (* x.re (+ x.re x.im)) (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (-.f64 x.re x.im)) #<representation binary64>) () ())) ())
#s(alt x.re (taylor 0 x.re) (#s(alt (fma.f64 x.re (/.f64 x.re x.im) x.re) (patch (fma.f64 x.re (/.f64 x.re x.im) x.re) #<representation binary64>) () ())) ())
#s(alt (* x.re (+ 1 (/ x.re x.im))) (taylor 0 x.re) (#s(alt (fma.f64 x.re (/.f64 x.re x.im) x.re) (patch (fma.f64 x.re (/.f64 x.re x.im) x.re) #<representation binary64>) () ())) ())
#s(alt (* x.re (+ 1 (/ x.re x.im))) (taylor 0 x.re) (#s(alt (fma.f64 x.re (/.f64 x.re x.im) x.re) (patch (fma.f64 x.re (/.f64 x.re x.im) x.re) #<representation binary64>) () ())) ())
#s(alt (* x.re (+ 1 (/ x.re x.im))) (taylor 0 x.re) (#s(alt (fma.f64 x.re (/.f64 x.re x.im) x.re) (patch (fma.f64 x.re (/.f64 x.re x.im) x.re) #<representation binary64>) () ())) ())
#s(alt (/ (pow x.re 2) x.im) (taylor inf x.re) (#s(alt (fma.f64 x.re (/.f64 x.re x.im) x.re) (patch (fma.f64 x.re (/.f64 x.re x.im) x.re) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ (/ 1 x.im) (/ 1 x.re))) (taylor inf x.re) (#s(alt (fma.f64 x.re (/.f64 x.re x.im) x.re) (patch (fma.f64 x.re (/.f64 x.re x.im) x.re) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ (/ 1 x.im) (/ 1 x.re))) (taylor inf x.re) (#s(alt (fma.f64 x.re (/.f64 x.re x.im) x.re) (patch (fma.f64 x.re (/.f64 x.re x.im) x.re) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ (/ 1 x.im) (/ 1 x.re))) (taylor inf x.re) (#s(alt (fma.f64 x.re (/.f64 x.re x.im) x.re) (patch (fma.f64 x.re (/.f64 x.re x.im) x.re) #<representation binary64>) () ())) ())
#s(alt (/ (pow x.re 2) x.im) (taylor -inf x.re) (#s(alt (fma.f64 x.re (/.f64 x.re x.im) x.re) (patch (fma.f64 x.re (/.f64 x.re x.im) x.re) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ (/ 1 x.im) (/ 1 x.re))) (taylor -inf x.re) (#s(alt (fma.f64 x.re (/.f64 x.re x.im) x.re) (patch (fma.f64 x.re (/.f64 x.re x.im) x.re) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ (/ 1 x.im) (/ 1 x.re))) (taylor -inf x.re) (#s(alt (fma.f64 x.re (/.f64 x.re x.im) x.re) (patch (fma.f64 x.re (/.f64 x.re x.im) x.re) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ (/ 1 x.im) (/ 1 x.re))) (taylor -inf x.re) (#s(alt (fma.f64 x.re (/.f64 x.re x.im) x.re) (patch (fma.f64 x.re (/.f64 x.re x.im) x.re) #<representation binary64>) () ())) ())
#s(alt (/ (pow x.re 2) x.im) (taylor 0 x.im) (#s(alt (fma.f64 x.re (/.f64 x.re x.im) x.re) (patch (fma.f64 x.re (/.f64 x.re x.im) x.re) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x.im x.re) (pow x.re 2)) x.im) (taylor 0 x.im) (#s(alt (fma.f64 x.re (/.f64 x.re x.im) x.re) (patch (fma.f64 x.re (/.f64 x.re x.im) x.re) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x.im x.re) (pow x.re 2)) x.im) (taylor 0 x.im) (#s(alt (fma.f64 x.re (/.f64 x.re x.im) x.re) (patch (fma.f64 x.re (/.f64 x.re x.im) x.re) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* x.im x.re) (pow x.re 2)) x.im) (taylor 0 x.im) (#s(alt (fma.f64 x.re (/.f64 x.re x.im) x.re) (patch (fma.f64 x.re (/.f64 x.re x.im) x.re) #<representation binary64>) () ())) ())
#s(alt x.re (taylor inf x.im) (#s(alt (fma.f64 x.re (/.f64 x.re x.im) x.re) (patch (fma.f64 x.re (/.f64 x.re x.im) x.re) #<representation binary64>) () ())) ())
#s(alt (+ x.re (/ (pow x.re 2) x.im)) (taylor inf x.im) (#s(alt (fma.f64 x.re (/.f64 x.re x.im) x.re) (patch (fma.f64 x.re (/.f64 x.re x.im) x.re) #<representation binary64>) () ())) ())
#s(alt (+ x.re (/ (pow x.re 2) x.im)) (taylor inf x.im) (#s(alt (fma.f64 x.re (/.f64 x.re x.im) x.re) (patch (fma.f64 x.re (/.f64 x.re x.im) x.re) #<representation binary64>) () ())) ())
#s(alt (+ x.re (/ (pow x.re 2) x.im)) (taylor inf x.im) (#s(alt (fma.f64 x.re (/.f64 x.re x.im) x.re) (patch (fma.f64 x.re (/.f64 x.re x.im) x.re) #<representation binary64>) () ())) ())
#s(alt x.re (taylor -inf x.im) (#s(alt (fma.f64 x.re (/.f64 x.re x.im) x.re) (patch (fma.f64 x.re (/.f64 x.re x.im) x.re) #<representation binary64>) () ())) ())
#s(alt (+ x.re (/ (pow x.re 2) x.im)) (taylor -inf x.im) (#s(alt (fma.f64 x.re (/.f64 x.re x.im) x.re) (patch (fma.f64 x.re (/.f64 x.re x.im) x.re) #<representation binary64>) () ())) ())
#s(alt (+ x.re (/ (pow x.re 2) x.im)) (taylor -inf x.im) (#s(alt (fma.f64 x.re (/.f64 x.re x.im) x.re) (patch (fma.f64 x.re (/.f64 x.re x.im) x.re) #<representation binary64>) () ())) ())
#s(alt (+ x.re (/ (pow x.re 2) x.im)) (taylor -inf x.im) (#s(alt (fma.f64 x.re (/.f64 x.re x.im) x.re) (patch (fma.f64 x.re (/.f64 x.re x.im) x.re) #<representation binary64>) () ())) ())
#s(alt (pow x.re 3) (taylor 0 x.re) (#s(alt (.f64 x.re (.f64 x.re x.re)) (patch (.f64 x.re (.f64 x.re x.re)) #<representation binary64>) () ())) ())
#s(alt (pow x.re 3) (taylor 0 x.re) (#s(alt (.f64 x.re (.f64 x.re x.re)) (patch (.f64 x.re (.f64 x.re x.re)) #<representation binary64>) () ())) ())
#s(alt (pow x.re 3) (taylor 0 x.re) (#s(alt (.f64 x.re (.f64 x.re x.re)) (patch (.f64 x.re (.f64 x.re x.re)) #<representation binary64>) () ())) ())
#s(alt (pow x.re 3) (taylor 0 x.re) (#s(alt (.f64 x.re (.f64 x.re x.re)) (patch (.f64 x.re (.f64 x.re x.re)) #<representation binary64>) () ())) ())
#s(alt (pow x.re 3) (taylor inf x.re) (#s(alt (.f64 x.re (.f64 x.re x.re)) (patch (.f64 x.re (.f64 x.re x.re)) #<representation binary64>) () ())) ())
#s(alt (pow x.re 3) (taylor inf x.re) (#s(alt (.f64 x.re (.f64 x.re x.re)) (patch (.f64 x.re (.f64 x.re x.re)) #<representation binary64>) () ())) ())
#s(alt (pow x.re 3) (taylor inf x.re) (#s(alt (.f64 x.re (.f64 x.re x.re)) (patch (.f64 x.re (.f64 x.re x.re)) #<representation binary64>) () ())) ())
#s(alt (pow x.re 3) (taylor inf x.re) (#s(alt (.f64 x.re (.f64 x.re x.re)) (patch (.f64 x.re (.f64 x.re x.re)) #<representation binary64>) () ())) ())
#s(alt (pow x.re 3) (taylor -inf x.re) (#s(alt (.f64 x.re (.f64 x.re x.re)) (patch (.f64 x.re (.f64 x.re x.re)) #<representation binary64>) () ())) ())
#s(alt (pow x.re 3) (taylor -inf x.re) (#s(alt (.f64 x.re (.f64 x.re x.re)) (patch (.f64 x.re (.f64 x.re x.re)) #<representation binary64>) () ())) ())
#s(alt (pow x.re 3) (taylor -inf x.re) (#s(alt (.f64 x.re (.f64 x.re x.re)) (patch (.f64 x.re (.f64 x.re x.re)) #<representation binary64>) () ())) ())
#s(alt (pow x.re 3) (taylor -inf x.re) (#s(alt (.f64 x.re (.f64 x.re x.re)) (patch (.f64 x.re (.f64 x.re x.re)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.im 2) x.re)) (taylor 0 x.re) (#s(alt #s(approx (* (* x.re (+ x.re x.im)) (- x.re x.im)) (.f64 x.re (.f64 x.im (neg.f64 x.im)))) (patch #s(approx (* (* x.re (+ x.re x.im)) (- x.re x.im)) (.f64 x.re (.f64 x.im (neg.f64 x.im)))) #<representation binary64>) () ())) ())
#s(alt (* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im))))) (taylor 0 x.re) (#s(alt #s(approx (* (* x.re (+ x.re x.im)) (- x.re x.im)) (.f64 x.re (.f64 x.im (neg.f64 x.im)))) (patch #s(approx (* (* x.re (+ x.re x.im)) (- x.re x.im)) (.f64 x.re (.f64 x.im (neg.f64 x.im)))) #<representation binary64>) () ())) ())
#s(alt (* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im)))))) (taylor 0 x.re) (#s(alt #s(approx (* (* x.re (+ x.re x.im)) (- x.re x.im)) (.f64 x.re (.f64 x.im (neg.f64 x.im)))) (patch #s(approx (* (* x.re (+ x.re x.im)) (- x.re x.im)) (.f64 x.re (.f64 x.im (neg.f64 x.im)))) #<representation binary64>) () ())) ())
#s(alt (* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im)))))) (taylor 0 x.re) (#s(alt #s(approx (* (* x.re (+ x.re x.im)) (- x.re x.im)) (.f64 x.re (.f64 x.im (neg.f64 x.im)))) (patch #s(approx (* (* x.re (+ x.re x.im)) (- x.re x.im)) (.f64 x.re (.f64 x.im (neg.f64 x.im)))) #<representation binary64>) () ())) ())
#s(alt (pow x.re 3) (taylor inf x.re) (#s(alt #s(approx (* (* x.re (+ x.re x.im)) (- x.re x.im)) (.f64 x.re (.f64 x.im (neg.f64 x.im)))) (patch #s(approx (* (* x.re (+ x.re x.im)) (- x.re x.im)) (.f64 x.re (.f64 x.im (neg.f64 x.im)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re)))) (taylor inf x.re) (#s(alt #s(approx (* (* x.re (+ x.re x.im)) (- x.re x.im)) (.f64 x.re (.f64 x.im (neg.f64 x.im)))) (patch #s(approx (* (* x.re (+ x.re x.im)) (- x.re x.im)) (.f64 x.re (.f64 x.im (neg.f64 x.im)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re))))) (taylor inf x.re) (#s(alt #s(approx (* (* x.re (+ x.re x.im)) (- x.re x.im)) (.f64 x.re (.f64 x.im (neg.f64 x.im)))) (patch #s(approx (* (* x.re (+ x.re x.im)) (- x.re x.im)) (.f64 x.re (.f64 x.im (neg.f64 x.im)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re))))) (taylor inf x.re) (#s(alt #s(approx (* (* x.re (+ x.re x.im)) (- x.re x.im)) (.f64 x.re (.f64 x.im (neg.f64 x.im)))) (patch #s(approx (* (* x.re (+ x.re x.im)) (- x.re x.im)) (.f64 x.re (.f64 x.im (neg.f64 x.im)))) #<representation binary64>) () ())) ())
#s(alt (pow x.re 3) (taylor -inf x.re) (#s(alt #s(approx (* (* x.re (+ x.re x.im)) (- x.re x.im)) (.f64 x.re (.f64 x.im (neg.f64 x.im)))) (patch #s(approx (* (* x.re (+ x.re x.im)) (- x.re x.im)) (.f64 x.re (.f64 x.im (neg.f64 x.im)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1))) (taylor -inf x.re) (#s(alt #s(approx (* (* x.re (+ x.re x.im)) (- x.re x.im)) (.f64 x.re (.f64 x.im (neg.f64 x.im)))) (patch #s(approx (* (* x.re (+ x.re x.im)) (- x.re x.im)) (.f64 x.re (.f64 x.im (neg.f64 x.im)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))) x.re)) 1))) (taylor -inf x.re) (#s(alt #s(approx (* (* x.re (+ x.re x.im)) (- x.re x.im)) (.f64 x.re (.f64 x.im (neg.f64 x.im)))) (patch #s(approx (* (* x.re (+ x.re x.im)) (- x.re x.im)) (.f64 x.re (.f64 x.im (neg.f64 x.im)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))) x.re)) 1))) (taylor -inf x.re) (#s(alt #s(approx (* (* x.re (+ x.re x.im)) (- x.re x.im)) (.f64 x.re (.f64 x.im (neg.f64 x.im)))) (patch #s(approx (* (* x.re (+ x.re x.im)) (- x.re x.im)) (.f64 x.re (.f64 x.im (neg.f64 x.im)))) #<representation binary64>) () ())) ())
#s(alt (pow x.re 3) (taylor 0 x.im) (#s(alt #s(approx (* (* x.re (+ x.re x.im)) (- x.re x.im)) (.f64 x.re (.f64 x.im (neg.f64 x.im)))) (patch #s(approx (* (* x.re (+ x.re x.im)) (- x.re x.im)) (.f64 x.re (.f64 x.im (neg.f64 x.im)))) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3)) (taylor 0 x.im) (#s(alt #s(approx (* (* x.re (+ x.re x.im)) (- x.re x.im)) (.f64 x.re (.f64 x.im (neg.f64 x.im)))) (patch #s(approx (* (* x.re (+ x.re x.im)) (- x.re x.im)) (.f64 x.re (.f64 x.im (neg.f64 x.im)))) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3)) (taylor 0 x.im) (#s(alt #s(approx (* (* x.re (+ x.re x.im)) (- x.re x.im)) (.f64 x.re (.f64 x.im (neg.f64 x.im)))) (patch #s(approx (* (* x.re (+ x.re x.im)) (- x.re x.im)) (.f64 x.re (.f64 x.im (neg.f64 x.im)))) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3)) (taylor 0 x.im) (#s(alt #s(approx (* (* x.re (+ x.re x.im)) (- x.re x.im)) (.f64 x.re (.f64 x.im (neg.f64 x.im)))) (patch #s(approx (* (* x.re (+ x.re x.im)) (- x.re x.im)) (.f64 x.re (.f64 x.im (neg.f64 x.im)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.im 2) x.re)) (taylor inf x.im) (#s(alt #s(approx (* (* x.re (+ x.re x.im)) (- x.re x.im)) (.f64 x.re (.f64 x.im (neg.f64 x.im)))) (patch #s(approx (* (* x.re (+ x.re x.im)) (- x.re x.im)) (.f64 x.re (.f64 x.im (neg.f64 x.im)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im))) (taylor inf x.im) (#s(alt #s(approx (* (* x.re (+ x.re x.im)) (- x.re x.im)) (.f64 x.re (.f64 x.im (neg.f64 x.im)))) (patch #s(approx (* (* x.re (+ x.re x.im)) (- x.re x.im)) (.f64 x.re (.f64 x.im (neg.f64 x.im)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2))))) (taylor inf x.im) (#s(alt #s(approx (* (* x.re (+ x.re x.im)) (- x.re x.im)) (.f64 x.re (.f64 x.im (neg.f64 x.im)))) (patch #s(approx (* (* x.re (+ x.re x.im)) (- x.re x.im)) (.f64 x.re (.f64 x.im (neg.f64 x.im)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2))))) (taylor inf x.im) (#s(alt #s(approx (* (* x.re (+ x.re x.im)) (- x.re x.im)) (.f64 x.re (.f64 x.im (neg.f64 x.im)))) (patch #s(approx (* (* x.re (+ x.re x.im)) (- x.re x.im)) (.f64 x.re (.f64 x.im (neg.f64 x.im)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.im 2) x.re)) (taylor -inf x.im) (#s(alt #s(approx (* (* x.re (+ x.re x.im)) (- x.re x.im)) (.f64 x.re (.f64 x.im (neg.f64 x.im)))) (patch #s(approx (* (* x.re (+ x.re x.im)) (- x.re x.im)) (.f64 x.re (.f64 x.im (neg.f64 x.im)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im)))) (taylor -inf x.im) (#s(alt #s(approx (* (* x.re (+ x.re x.im)) (- x.re x.im)) (.f64 x.re (.f64 x.im (neg.f64 x.im)))) (patch #s(approx (* (* x.re (+ x.re x.im)) (- x.re x.im)) (.f64 x.re (.f64 x.im (neg.f64 x.im)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im)))) (taylor -inf x.im) (#s(alt #s(approx (* (* x.re (+ x.re x.im)) (- x.re x.im)) (.f64 x.re (.f64 x.im (neg.f64 x.im)))) (patch #s(approx (* (* x.re (+ x.re x.im)) (- x.re x.im)) (.f64 x.re (.f64 x.im (neg.f64 x.im)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im)))) (taylor -inf x.im) (#s(alt #s(approx (* (* x.re (+ x.re x.im)) (- x.re x.im)) (.f64 x.re (.f64 x.im (neg.f64 x.im)))) (patch #s(approx (* (* x.re (+ x.re x.im)) (- x.re x.im)) (.f64 x.re (.f64 x.im (neg.f64 x.im)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.im 2) x.re)) (taylor 0 x.re) (#s(alt (.f64 x.re (.f64 x.im (neg.f64 x.im))) (patch (.f64 x.re (.f64 x.im (neg.f64 x.im))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.im 2) x.re)) (taylor 0 x.re) (#s(alt (.f64 x.re (.f64 x.im (neg.f64 x.im))) (patch (.f64 x.re (.f64 x.im (neg.f64 x.im))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.im 2) x.re)) (taylor 0 x.re) (#s(alt (.f64 x.re (.f64 x.im (neg.f64 x.im))) (patch (.f64 x.re (.f64 x.im (neg.f64 x.im))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.im 2) x.re)) (taylor 0 x.re) (#s(alt (.f64 x.re (.f64 x.im (neg.f64 x.im))) (patch (.f64 x.re (.f64 x.im (neg.f64 x.im))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.im 2) x.re)) (taylor inf x.re) (#s(alt (.f64 x.re (.f64 x.im (neg.f64 x.im))) (patch (.f64 x.re (.f64 x.im (neg.f64 x.im))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.im 2) x.re)) (taylor inf x.re) (#s(alt (.f64 x.re (.f64 x.im (neg.f64 x.im))) (patch (.f64 x.re (.f64 x.im (neg.f64 x.im))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.im 2) x.re)) (taylor inf x.re) (#s(alt (.f64 x.re (.f64 x.im (neg.f64 x.im))) (patch (.f64 x.re (.f64 x.im (neg.f64 x.im))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.im 2) x.re)) (taylor inf x.re) (#s(alt (.f64 x.re (.f64 x.im (neg.f64 x.im))) (patch (.f64 x.re (.f64 x.im (neg.f64 x.im))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.im 2) x.re)) (taylor -inf x.re) (#s(alt (.f64 x.re (.f64 x.im (neg.f64 x.im))) (patch (.f64 x.re (.f64 x.im (neg.f64 x.im))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.im 2) x.re)) (taylor -inf x.re) (#s(alt (.f64 x.re (.f64 x.im (neg.f64 x.im))) (patch (.f64 x.re (.f64 x.im (neg.f64 x.im))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.im 2) x.re)) (taylor -inf x.re) (#s(alt (.f64 x.re (.f64 x.im (neg.f64 x.im))) (patch (.f64 x.re (.f64 x.im (neg.f64 x.im))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.im 2) x.re)) (taylor -inf x.re) (#s(alt (.f64 x.re (.f64 x.im (neg.f64 x.im))) (patch (.f64 x.re (.f64 x.im (neg.f64 x.im))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.im 2) x.re)) (taylor 0 x.im) (#s(alt (.f64 x.re (.f64 x.im (neg.f64 x.im))) (patch (.f64 x.re (.f64 x.im (neg.f64 x.im))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.im 2) x.re)) (taylor 0 x.im) (#s(alt (.f64 x.re (.f64 x.im (neg.f64 x.im))) (patch (.f64 x.re (.f64 x.im (neg.f64 x.im))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.im 2) x.re)) (taylor 0 x.im) (#s(alt (.f64 x.re (.f64 x.im (neg.f64 x.im))) (patch (.f64 x.re (.f64 x.im (neg.f64 x.im))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.im 2) x.re)) (taylor 0 x.im) (#s(alt (.f64 x.re (.f64 x.im (neg.f64 x.im))) (patch (.f64 x.re (.f64 x.im (neg.f64 x.im))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.im 2) x.re)) (taylor inf x.im) (#s(alt (.f64 x.re (.f64 x.im (neg.f64 x.im))) (patch (.f64 x.re (.f64 x.im (neg.f64 x.im))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.im 2) x.re)) (taylor inf x.im) (#s(alt (.f64 x.re (.f64 x.im (neg.f64 x.im))) (patch (.f64 x.re (.f64 x.im (neg.f64 x.im))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.im 2) x.re)) (taylor inf x.im) (#s(alt (.f64 x.re (.f64 x.im (neg.f64 x.im))) (patch (.f64 x.re (.f64 x.im (neg.f64 x.im))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.im 2) x.re)) (taylor inf x.im) (#s(alt (.f64 x.re (.f64 x.im (neg.f64 x.im))) (patch (.f64 x.re (.f64 x.im (neg.f64 x.im))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.im 2) x.re)) (taylor -inf x.im) (#s(alt (.f64 x.re (.f64 x.im (neg.f64 x.im))) (patch (.f64 x.re (.f64 x.im (neg.f64 x.im))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.im 2) x.re)) (taylor -inf x.im) (#s(alt (.f64 x.re (.f64 x.im (neg.f64 x.im))) (patch (.f64 x.re (.f64 x.im (neg.f64 x.im))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.im 2) x.re)) (taylor -inf x.im) (#s(alt (.f64 x.re (.f64 x.im (neg.f64 x.im))) (patch (.f64 x.re (.f64 x.im (neg.f64 x.im))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.im 2) x.re)) (taylor -inf x.im) (#s(alt (.f64 x.re (.f64 x.im (neg.f64 x.im))) (patch (.f64 x.re (.f64 x.im (neg.f64 x.im))) #<representation binary64>) () ())) ())

Calls

117 calls:

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

simplify278.0ms (2.3%)

Memory

-0.0MiB live, 482.8MiB allocated

Algorithm

1×	egg-herbie

Rules

15 710×	`lower-fma.f64`
15 710×	`lower-fma.f32`
4 520×	`lower-+.f64`
4 520×	`lower-+.f32`
3 936×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	230	4616
1	773	3877
2	2500	3358
0	8263	3242

Stop Event

1×	iter limit
1×	node limit

Counts

468 → 459

Calls

Call 1

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

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

rewrite800.0ms (6.5%)

Memory

-56.6MiB live, 870.4MiB allocated

Rules

10 460×	`lower-fma.f32`
10 452×	`lower-fma.f64`
4 824×	`lower-*.f32`
4 796×	`lower-*.f64`
4 774×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	241
0	70	237
1	273	213
2	2129	213
0	8459	208

Stop Event

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

Counts

23 → 2 111

Calls

Call 1

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

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

eval667.0ms (5.4%)

Memory: 47.9MiB live, 1 197.3MiB allocated
Compiler: Compiled 110 338 to 6 223 computations (94.4% saved)

prune656.0ms (5.3%)

Memory

3.5MiB live, 1 079.9MiB allocated

Pruning

22 alts after pruning (19 fresh and 3 done)

	Pruned	Kept	Total
New	3 799	17	3 816
Fresh	8	2	10
Picked	4	1	5
Done	0	2	2
Total	3 811	22	3 833

Accuracy

100.0%

Counts

3 833 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	23.9%	(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.re (-.f64 x.re x.im)) (/.f64 #s(literal 1 binary64) (+.f64 x.im x.re))) (+.f64 x.im x.im))
	55.5%	(fma.f64 (/.f64 #s(approx (* x.re (+ x.re x.im)) (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (+.f64 x.im x.re)) (/.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) (/.f64 (-.f64 x.re x.im) (-.f64 x.re x.im))) (+.f64 x.im x.im))
▶	55.7%	(fma.f64 (-.f64 x.re x.im) #s(approx (* x.re (+ x.re x.im)) (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (+.f64 x.im x.im))
	72.3%	(fma.f64 (+.f64 x.im x.im) x.re (.f64 #s(approx ( x.re (+ x.re x.im)) (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (-.f64 x.re x.im)))
▶	89.4%	(fma.f64 (.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (.f64 #s(approx (* x.re (+ x.re x.im)) (*.f64 x.im (fma.f64 (/.f64 #s(literal 1 binary64) x.im) (/.f64 x.re (/.f64 #s(literal 1 binary64) x.re)) x.re))) (-.f64 x.re x.im)))
▶	18.5%	(-.f64 (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) (+.f64 x.im x.im))
	24.3%	(-.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (.f64 x.re x.re))) (/.f64 #s(literal 1 binary64) (+.f64 x.im x.re)))) (*.f64 (-.f64 x.re x.im) x.re)) (+.f64 x.im x.im))
	18.0%	(-.f64 (.f64 (.f64 (/.f64 (-.f64 x.re x.im) (.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 x.re x.im) x.re)) (+.f64 x.im x.im))
	59.6%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64)))
	56.7%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 x.im x.re) x.im) #s(literal -3 binary64)))
	56.7%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 x.im x.re) #s(literal -3 binary64)) x.im))
	51.6%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64)))
▶	56.7%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.im x.re) (*.f64 x.im #s(literal -3 binary64))))
	61.7%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.im x.im) (.f64 x.re (fma.f64 x.re (/.f64 x.re (.f64 x.im x.im)) #s(literal -3 binary64)))))
	57.0%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.im x.im) (.f64 x.re (+.f64 #s(literal -3 binary64) (/.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))))
✓	91.5%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (fma.f64 x.re x.re (.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))))
✓	59.5%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (.f64 x.re x.re)))
✓	51.7%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
	56.8%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.im (.f64 (*.f64 x.im #s(literal -3 binary64)) x.re)))
	36.7%	#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (.f64 x.re (.f64 x.im (neg.f64 x.im))))
	21.2%	#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (.f64 x.im (-.f64 #s(literal -2 binary64) (.f64 x.re x.im))))
▶	4.5%	#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (*.f64 x.im #s(literal -2 binary64)))

Compiler

Compiled 735 to 347 computations (52.8% saved)

simplify234.0ms (1.9%)

Memory

-16.8MiB live, 291.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)))
cost-diff	0	(.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re)
cost-diff	0	(-.f64 (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) (+.f64 x.im x.im))
cost-diff	2432	(/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re)))
cost-diff	0	#s(approx (* x.re (+ x.re x.im)) (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)))
cost-diff	0	(-.f64 x.re x.im)
cost-diff	0	(fma.f64 (-.f64 x.re x.im) #s(approx (* x.re (+ x.re x.im)) (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (+.f64 x.im x.im))
cost-diff	896	(*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))
cost-diff	0	(*.f64 x.im #s(literal -3 binary64))
cost-diff	0	(*.f64 x.im x.re)
cost-diff	0	(.f64 (.f64 x.im x.re) (*.f64 x.im #s(literal -3 binary64)))
cost-diff	0	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.im x.re) (*.f64 x.im #s(literal -3 binary64))))
cost-diff	0	(*.f64 x.im #s(literal -2 binary64))
cost-diff	0	#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (*.f64 x.im #s(literal -2 binary64)))
cost-diff	0	(fma.f64 (.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (.f64 #s(approx (* x.re (+ x.re x.im)) (*.f64 x.im (fma.f64 (/.f64 #s(literal 1 binary64) x.im) (/.f64 x.re (/.f64 #s(literal 1 binary64) x.re)) x.re))) (-.f64 x.re x.im)))
cost-diff	320	(fma.f64 (/.f64 #s(literal 1 binary64) x.im) (/.f64 x.re (/.f64 #s(literal 1 binary64) x.re)) x.re)
cost-diff	896	(*.f64 x.im (fma.f64 (/.f64 #s(literal 1 binary64) x.im) (/.f64 x.re (/.f64 #s(literal 1 binary64) x.re)) x.re))
cost-diff	1088	(/.f64 x.re (/.f64 #s(literal 1 binary64) x.re))

Rules

12 778×	`lower-fma.f32`
12 768×	`lower-fma.f64`
3 712×	`lower-*.f32`
3 690×	`lower-*.f64`
3 022×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	351
0	83	335
1	184	306
2	446	290
3	1726	270
4	6523	270
0	8315	264

Stop Event

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

Calls

Call 1

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

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

localize131.0ms (1.1%)

Memory

26.7MiB live, 226.4MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x.re x.re)
accuracy	0.13119125976844204	(.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)))
accuracy	2.8851942260970183	(.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re)
accuracy	37.259764378863075	(/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re)))
accuracy	0	#s(approx (* x.re (+ x.re x.im)) (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)))
accuracy	0.0625	(fma.f64 x.re (/.f64 x.re x.im) x.re)
accuracy	0.07421875	(fma.f64 (-.f64 x.re x.im) #s(approx (* x.re (+ x.re x.im)) (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (+.f64 x.im x.im))
accuracy	4.505228060840904	(*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))
accuracy	0	(*.f64 x.im x.re)
accuracy	0	(*.f64 x.im #s(literal -3 binary64))
accuracy	0.185878759768442	(.f64 (.f64 x.im x.re) (*.f64 x.im #s(literal -3 binary64)))
accuracy	27.586172966678756	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.im x.re) (*.f64 x.im #s(literal -3 binary64))))
accuracy	0	(*.f64 x.im #s(literal -2 binary64))
accuracy	40.383951648267086	#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (*.f64 x.im #s(literal -2 binary64)))
accuracy	0.125	(.f64 #s(approx ( x.re (+ x.re x.im)) (*.f64 x.im (fma.f64 (/.f64 #s(literal 1 binary64) x.im) (/.f64 x.re (/.f64 #s(literal 1 binary64) x.re)) x.re))) (-.f64 x.re x.im))
accuracy	3.2539062500000004	(fma.f64 (.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (.f64 #s(approx (* x.re (+ x.re x.im)) (*.f64 x.im (fma.f64 (/.f64 #s(literal 1 binary64) x.im) (/.f64 x.re (/.f64 #s(literal 1 binary64) x.re)) x.re))) (-.f64 x.re x.im)))
accuracy	4.505228060840904	(*.f64 x.im (fma.f64 (/.f64 #s(literal 1 binary64) x.im) (/.f64 x.re (/.f64 #s(literal 1 binary64) x.re)) x.re))
accuracy	7.228335810314069	(fma.f64 (/.f64 #s(literal 1 binary64) x.im) (/.f64 x.re (/.f64 #s(literal 1 binary64) x.re)) x.re)

Samples

86.0ms

256×

valid

Compiler

Compiled 297 to 50 computations (83.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-mult: 32.0ms (52.5% of total)

ival-add: 10.0ms (16.4% of total)

ival-sub: 9.0ms (14.8% of total)

ival-div: 8.0ms (13.1% of total)

ival-neg: 1.0ms (1.6% of total)

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

exact: 0.0ms (0% of total)

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

series55.0ms (0.4%)

Memory

-82.3MiB live, 28.4MiB allocated

Counts

21 → 456

Calls

Call 1

Inputs
#s(alt (/.f64 x.re (/.f64 #s(literal 1 binary64) x.re)) (patch (/.f64 x.re (/.f64 #s(literal 1 binary64) x.re)) #<representation binary64>) () ())
#s(alt (.f64 x.im (fma.f64 (/.f64 #s(literal 1 binary64) x.im) (/.f64 x.re (/.f64 #s(literal 1 binary64) x.re)) x.re)) (patch (.f64 x.im (fma.f64 (/.f64 #s(literal 1 binary64) x.im) (/.f64 x.re (/.f64 #s(literal 1 binary64) x.re)) x.re)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 #s(literal 1 binary64) x.im) (/.f64 x.re (/.f64 #s(literal 1 binary64) x.re)) x.re) (patch (fma.f64 (/.f64 #s(literal 1 binary64) x.im) (/.f64 x.re (/.f64 #s(literal 1 binary64) x.re)) x.re) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (.f64 #s(approx (* x.re (+ x.re x.im)) (.f64 x.im (fma.f64 (/.f64 #s(literal 1 binary64) x.im) (/.f64 x.re (/.f64 #s(literal 1 binary64) x.re)) x.re))) (-.f64 x.re x.im))) (patch (fma.f64 (.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (.f64 #s(approx ( x.re (+ x.re x.im)) (*.f64 x.im (fma.f64 (/.f64 #s(literal 1 binary64) x.im) (/.f64 x.re (/.f64 #s(literal 1 binary64) x.re)) x.re))) (-.f64 x.re x.im))) #<representation binary64>) () ())
#s(alt #s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (.f64 x.im #s(literal -2 binary64))) (patch #s(approx (- ( (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (*.f64 x.im #s(literal -2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 x.im #s(literal -2 binary64)) (patch (.f64 x.im #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.im x.re) (.f64 x.im #s(literal -3 binary64)))) (patch #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.im x.re) (*.f64 x.im #s(literal -3 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x.im x.re) (.f64 x.im #s(literal -3 binary64))) (patch (.f64 (.f64 x.im x.re) (.f64 x.im #s(literal -3 binary64))) #<representation binary64>) () ())
#s(alt (.f64 x.im x.re) (patch (.f64 x.im x.re) #<representation binary64>) () ())
#s(alt (.f64 x.im #s(literal -3 binary64)) (patch (.f64 x.im #s(literal -3 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) (patch (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re)) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 x.re x.im) #s(approx (* x.re (+ x.re x.im)) (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (+.f64 x.im x.im)) (patch (fma.f64 (-.f64 x.re x.im) #s(approx ( x.re (+ x.re x.im)) (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (+.f64 x.im x.im)) #<representation binary64>) () ())
#s(alt (-.f64 x.re x.im) (patch (-.f64 x.re x.im) #<representation binary64>) () ())
#s(alt #s(approx (* x.re (+ x.re x.im)) (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (patch #s(approx ( x.re (+ x.re x.im)) (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) (patch (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) (+.f64 x.im x.im)) (patch (-.f64 (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) (+.f64 x.im x.im)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (patch (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) (patch (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) #<representation binary64>) () ())
#s(alt (.f64 #s(approx ( x.re (+ x.re x.im)) (.f64 x.im (fma.f64 (/.f64 #s(literal 1 binary64) x.im) (/.f64 x.re (/.f64 #s(literal 1 binary64) x.re)) x.re))) (-.f64 x.re x.im)) (patch (.f64 #s(approx (* x.re (+ x.re x.im)) (*.f64 x.im (fma.f64 (/.f64 #s(literal 1 binary64) x.im) (/.f64 x.re (/.f64 #s(literal 1 binary64) x.re)) x.re))) (-.f64 x.re x.im)) #<representation binary64>) () ())
#s(alt (fma.f64 x.re (/.f64 x.re x.im) x.re) (patch (fma.f64 x.re (/.f64 x.re x.im) x.re) #<representation binary64>) () ())
#s(alt (.f64 x.re x.re) (patch (.f64 x.re x.re) #<representation binary64>) () ())

Outputs
#s(alt (pow x.re 2) (taylor 0 x.re) (#s(alt (/.f64 x.re (/.f64 #s(literal 1 binary64) x.re)) (patch (/.f64 x.re (/.f64 #s(literal 1 binary64) x.re)) #<representation binary64>) () ())) ())
#s(alt (pow x.re 2) (taylor 0 x.re) (#s(alt (/.f64 x.re (/.f64 #s(literal 1 binary64) x.re)) (patch (/.f64 x.re (/.f64 #s(literal 1 binary64) x.re)) #<representation binary64>) () ())) ())
#s(alt (pow x.re 2) (taylor 0 x.re) (#s(alt (/.f64 x.re (/.f64 #s(literal 1 binary64) x.re)) (patch (/.f64 x.re (/.f64 #s(literal 1 binary64) x.re)) #<representation binary64>) () ())) ())
#s(alt (pow x.re 2) (taylor 0 x.re) (#s(alt (/.f64 x.re (/.f64 #s(literal 1 binary64) x.re)) (patch (/.f64 x.re (/.f64 #s(literal 1 binary64) x.re)) #<representation binary64>) () ())) ())
#s(alt (pow x.re 2) (taylor inf x.re) (#s(alt (/.f64 x.re (/.f64 #s(literal 1 binary64) x.re)) (patch (/.f64 x.re (/.f64 #s(literal 1 binary64) x.re)) #<representation binary64>) () ())) ())
#s(alt (pow x.re 2) (taylor inf x.re) (#s(alt (/.f64 x.re (/.f64 #s(literal 1 binary64) x.re)) (patch (/.f64 x.re (/.f64 #s(literal 1 binary64) x.re)) #<representation binary64>) () ())) ())
#s(alt (pow x.re 2) (taylor inf x.re) (#s(alt (/.f64 x.re (/.f64 #s(literal 1 binary64) x.re)) (patch (/.f64 x.re (/.f64 #s(literal 1 binary64) x.re)) #<representation binary64>) () ())) ())
#s(alt (pow x.re 2) (taylor inf x.re) (#s(alt (/.f64 x.re (/.f64 #s(literal 1 binary64) x.re)) (patch (/.f64 x.re (/.f64 #s(literal 1 binary64) x.re)) #<representation binary64>) () ())) ())
#s(alt (pow x.re 2) (taylor -inf x.re) (#s(alt (/.f64 x.re (/.f64 #s(literal 1 binary64) x.re)) (patch (/.f64 x.re (/.f64 #s(literal 1 binary64) x.re)) #<representation binary64>) () ())) ())
#s(alt (pow x.re 2) (taylor -inf x.re) (#s(alt (/.f64 x.re (/.f64 #s(literal 1 binary64) x.re)) (patch (/.f64 x.re (/.f64 #s(literal 1 binary64) x.re)) #<representation binary64>) () ())) ())
#s(alt (pow x.re 2) (taylor -inf x.re) (#s(alt (/.f64 x.re (/.f64 #s(literal 1 binary64) x.re)) (patch (/.f64 x.re (/.f64 #s(literal 1 binary64) x.re)) #<representation binary64>) () ())) ())
#s(alt (pow x.re 2) (taylor -inf x.re) (#s(alt (/.f64 x.re (/.f64 #s(literal 1 binary64) x.re)) (patch (/.f64 x.re (/.f64 #s(literal 1 binary64) x.re)) #<representation binary64>) () ())) ())
#s(alt (pow x.re 2) (taylor 0 x.im) (#s(alt (.f64 x.im (fma.f64 (/.f64 #s(literal 1 binary64) x.im) (/.f64 x.re (/.f64 #s(literal 1 binary64) x.re)) x.re)) (patch (.f64 x.im (fma.f64 (/.f64 #s(literal 1 binary64) x.im) (/.f64 x.re (/.f64 #s(literal 1 binary64) x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im x.re) (pow x.re 2)) (taylor 0 x.im) (#s(alt (.f64 x.im (fma.f64 (/.f64 #s(literal 1 binary64) x.im) (/.f64 x.re (/.f64 #s(literal 1 binary64) x.re)) x.re)) (patch (.f64 x.im (fma.f64 (/.f64 #s(literal 1 binary64) x.im) (/.f64 x.re (/.f64 #s(literal 1 binary64) x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im x.re) (pow x.re 2)) (taylor 0 x.im) (#s(alt (.f64 x.im (fma.f64 (/.f64 #s(literal 1 binary64) x.im) (/.f64 x.re (/.f64 #s(literal 1 binary64) x.re)) x.re)) (patch (.f64 x.im (fma.f64 (/.f64 #s(literal 1 binary64) x.im) (/.f64 x.re (/.f64 #s(literal 1 binary64) x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im x.re) (pow x.re 2)) (taylor 0 x.im) (#s(alt (.f64 x.im (fma.f64 (/.f64 #s(literal 1 binary64) x.im) (/.f64 x.re (/.f64 #s(literal 1 binary64) x.re)) x.re)) (patch (.f64 x.im (fma.f64 (/.f64 #s(literal 1 binary64) x.im) (/.f64 x.re (/.f64 #s(literal 1 binary64) x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt (* x.im x.re) (taylor inf x.im) (#s(alt (.f64 x.im (fma.f64 (/.f64 #s(literal 1 binary64) x.im) (/.f64 x.re (/.f64 #s(literal 1 binary64) x.re)) x.re)) (patch (.f64 x.im (fma.f64 (/.f64 #s(literal 1 binary64) x.im) (/.f64 x.re (/.f64 #s(literal 1 binary64) x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ x.re (/ (pow x.re 2) x.im))) (taylor inf x.im) (#s(alt (.f64 x.im (fma.f64 (/.f64 #s(literal 1 binary64) x.im) (/.f64 x.re (/.f64 #s(literal 1 binary64) x.re)) x.re)) (patch (.f64 x.im (fma.f64 (/.f64 #s(literal 1 binary64) x.im) (/.f64 x.re (/.f64 #s(literal 1 binary64) x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ x.re (/ (pow x.re 2) x.im))) (taylor inf x.im) (#s(alt (.f64 x.im (fma.f64 (/.f64 #s(literal 1 binary64) x.im) (/.f64 x.re (/.f64 #s(literal 1 binary64) x.re)) x.re)) (patch (.f64 x.im (fma.f64 (/.f64 #s(literal 1 binary64) x.im) (/.f64 x.re (/.f64 #s(literal 1 binary64) x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ x.re (/ (pow x.re 2) x.im))) (taylor inf x.im) (#s(alt (.f64 x.im (fma.f64 (/.f64 #s(literal 1 binary64) x.im) (/.f64 x.re (/.f64 #s(literal 1 binary64) x.re)) x.re)) (patch (.f64 x.im (fma.f64 (/.f64 #s(literal 1 binary64) x.im) (/.f64 x.re (/.f64 #s(literal 1 binary64) x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt (* x.im x.re) (taylor -inf x.im) (#s(alt (.f64 x.im (fma.f64 (/.f64 #s(literal 1 binary64) x.im) (/.f64 x.re (/.f64 #s(literal 1 binary64) x.re)) x.re)) (patch (.f64 x.im (fma.f64 (/.f64 #s(literal 1 binary64) x.im) (/.f64 x.re (/.f64 #s(literal 1 binary64) x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.im (+ (* -1 x.re) (* -1 (/ (pow x.re 2) x.im))))) (taylor -inf x.im) (#s(alt (.f64 x.im (fma.f64 (/.f64 #s(literal 1 binary64) x.im) (/.f64 x.re (/.f64 #s(literal 1 binary64) x.re)) x.re)) (patch (.f64 x.im (fma.f64 (/.f64 #s(literal 1 binary64) x.im) (/.f64 x.re (/.f64 #s(literal 1 binary64) x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.im (+ (* -1 x.re) (* -1 (/ (pow x.re 2) x.im))))) (taylor -inf x.im) (#s(alt (.f64 x.im (fma.f64 (/.f64 #s(literal 1 binary64) x.im) (/.f64 x.re (/.f64 #s(literal 1 binary64) x.re)) x.re)) (patch (.f64 x.im (fma.f64 (/.f64 #s(literal 1 binary64) x.im) (/.f64 x.re (/.f64 #s(literal 1 binary64) x.re)) x.re)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.im (+ (* -1 x.re) (* -1 (/ (pow x.re 2) x.im))))) (taylor -inf x.im) (#s(alt (.f64 x.im (fma.f64 (/.f64 #s(literal 1 binary64) x.im) (/.f64 x.re (/.f64 #s(literal 1 binary64) x.re)) x.re)) (patch (.f64 x.im (fma.f64 (/.f64 #s(literal 1 binary64) x.im) (/.f64 x.re (/.f64 #s(literal 1 binary64) x.re)) x.re)) #<representation binary64>) () ())) ())
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#s(alt (* (pow x.re 2) (+ 1 (/ x.im x.re))) (taylor -inf x.re) (#s(alt #s(approx (* x.re (+ x.re x.im)) (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (patch #s(approx ( x.re (+ x.re x.im)) (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 2) (+ 1 (/ x.im x.re))) (taylor -inf x.re) (#s(alt #s(approx (* x.re (+ x.re x.im)) (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (patch #s(approx ( x.re (+ x.re x.im)) (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) #<representation binary64>) () ())) ())
#s(alt (pow x.re 2) (taylor 0 x.im) (#s(alt #s(approx (* x.re (+ x.re x.im)) (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (patch #s(approx ( x.re (+ x.re x.im)) (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im x.re) (pow x.re 2)) (taylor 0 x.im) (#s(alt #s(approx (* x.re (+ x.re x.im)) (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (patch #s(approx ( x.re (+ x.re x.im)) (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im x.re) (pow x.re 2)) (taylor 0 x.im) (#s(alt #s(approx (* x.re (+ x.re x.im)) (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (patch #s(approx ( x.re (+ x.re x.im)) (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im x.re) (pow x.re 2)) (taylor 0 x.im) (#s(alt #s(approx (* x.re (+ x.re x.im)) (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (patch #s(approx ( x.re (+ x.re x.im)) (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) #<representation binary64>) () ())) ())
#s(alt (* x.im x.re) (taylor inf x.im) (#s(alt #s(approx (* x.re (+ x.re x.im)) (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (patch #s(approx ( x.re (+ x.re x.im)) (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ x.re (/ (pow x.re 2) x.im))) (taylor inf x.im) (#s(alt #s(approx (* x.re (+ x.re x.im)) (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (patch #s(approx ( x.re (+ x.re x.im)) (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ x.re (/ (pow x.re 2) x.im))) (taylor inf x.im) (#s(alt #s(approx (* x.re (+ x.re x.im)) (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (patch #s(approx ( x.re (+ x.re x.im)) (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) #<representation binary64>) () ())) ())
#s(alt (* x.im (+ x.re (/ (pow x.re 2) x.im))) (taylor inf x.im) (#s(alt #s(approx (* x.re (+ x.re x.im)) (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (patch #s(approx ( x.re (+ x.re x.im)) (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) #<representation binary64>) () ())) ())
#s(alt (* x.im x.re) (taylor -inf x.im) (#s(alt #s(approx (* x.re (+ x.re x.im)) (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (patch #s(approx ( x.re (+ x.re x.im)) (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.im (+ (* -1 x.re) (* -1 (/ (pow x.re 2) x.im))))) (taylor -inf x.im) (#s(alt #s(approx (* x.re (+ x.re x.im)) (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (patch #s(approx ( x.re (+ x.re x.im)) (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.im (+ (* -1 x.re) (* -1 (/ (pow x.re 2) x.im))))) (taylor -inf x.im) (#s(alt #s(approx (* x.re (+ x.re x.im)) (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (patch #s(approx ( x.re (+ x.re x.im)) (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x.im (+ (* -1 x.re) (* -1 (/ (pow x.re 2) x.im))))) (taylor -inf x.im) (#s(alt #s(approx (* x.re (+ x.re x.im)) (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (patch #s(approx ( x.re (+ x.re x.im)) (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) #<representation binary64>) () ())) ())
#s(alt (pow x.re 3) (taylor 0 x.im) (#s(alt (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) (patch (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3)) (taylor 0 x.im) (#s(alt (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) (patch (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3)) (taylor 0 x.im) (#s(alt (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) (patch (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3)) (taylor 0 x.im) (#s(alt (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) (patch (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.im 2) x.re)) (taylor inf x.im) (#s(alt (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) (patch (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im))) (taylor inf x.im) (#s(alt (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) (patch (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2))))) (taylor inf x.im) (#s(alt (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) (patch (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2))))) (taylor inf x.im) (#s(alt (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) (patch (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.im 2) x.re)) (taylor -inf x.im) (#s(alt (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) (patch (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im)))) (taylor -inf x.im) (#s(alt (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) (patch (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im)))) (taylor -inf x.im) (#s(alt (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) (patch (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im)))) (taylor -inf x.im) (#s(alt (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) (patch (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.im 2) x.re)) (taylor 0 x.re) (#s(alt (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) (patch (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) #<representation binary64>) () ())) ())
#s(alt (* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im))))) (taylor 0 x.re) (#s(alt (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) (patch (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) #<representation binary64>) () ())) ())
#s(alt (* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im)))))) (taylor 0 x.re) (#s(alt (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) (patch (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) #<representation binary64>) () ())) ())
#s(alt (* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im)))))) (taylor 0 x.re) (#s(alt (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) (patch (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) #<representation binary64>) () ())) ())
#s(alt (pow x.re 3) (taylor inf x.re) (#s(alt (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) (patch (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re)))) (taylor inf x.re) (#s(alt (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) (patch (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re))))) (taylor inf x.re) (#s(alt (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) (patch (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re))))) (taylor inf x.re) (#s(alt (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) (patch (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) #<representation binary64>) () ())) ())
#s(alt (pow x.re 3) (taylor -inf x.re) (#s(alt (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) (patch (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1))) (taylor -inf x.re) (#s(alt (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) (patch (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))) x.re)) 1))) (taylor -inf x.re) (#s(alt (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) (patch (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))) x.re)) 1))) (taylor -inf x.re) (#s(alt (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) (patch (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) #<representation binary64>) () ())) ())
#s(alt (pow x.re 3) (taylor 0 x.im) (#s(alt (-.f64 (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) (+.f64 x.im x.im)) (patch (-.f64 (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im (- (* x.re (+ x.re (* -1 x.re))) 2)) (pow x.re 3)) (taylor 0 x.im) (#s(alt (-.f64 (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) (+.f64 x.im x.im)) (patch (-.f64 (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im (- (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re)))) 2)) (pow x.re 3)) (taylor 0 x.im) (#s(alt (-.f64 (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) (+.f64 x.im x.im)) (patch (-.f64 (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im (- (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re)))) 2)) (pow x.re 3)) (taylor 0 x.im) (#s(alt (-.f64 (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) (+.f64 x.im x.im)) (patch (-.f64 (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.im 2) x.re)) (taylor inf x.im) (#s(alt (-.f64 (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) (+.f64 x.im x.im)) (patch (-.f64 (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (- (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)) (* 2 (/ 1 x.im)))) (taylor inf x.im) (#s(alt (-.f64 (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) (+.f64 x.im x.im)) (patch (-.f64 (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (- (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))) (* 2 (/ 1 x.im)))) (taylor inf x.im) (#s(alt (-.f64 (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) (+.f64 x.im x.im)) (patch (-.f64 (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (- (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))) (* 2 (/ 1 x.im)))) (taylor inf x.im) (#s(alt (-.f64 (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) (+.f64 x.im x.im)) (patch (-.f64 (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.im 2) x.re)) (taylor -inf x.im) (#s(alt (-.f64 (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) (+.f64 x.im x.im)) (patch (-.f64 (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ 2 (* x.re (+ x.re (* -1 x.re)))) x.im)))) (taylor -inf x.im) (#s(alt (-.f64 (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) (+.f64 x.im x.im)) (patch (-.f64 (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ 2 (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re))))) x.im)))) (taylor -inf x.im) (#s(alt (-.f64 (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) (+.f64 x.im x.im)) (patch (-.f64 (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ 2 (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re))))) x.im)))) (taylor -inf x.im) (#s(alt (-.f64 (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) (+.f64 x.im x.im)) (patch (-.f64 (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* -2 x.im) (taylor 0 x.re) (#s(alt (-.f64 (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) (+.f64 x.im x.im)) (patch (-.f64 (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (* (pow x.im 2) x.re)) (* 2 x.im)) (taylor 0 x.re) (#s(alt (-.f64 (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) (+.f64 x.im x.im)) (patch (-.f64 (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (- (* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im))))) (* 2 x.im)) (taylor 0 x.re) (#s(alt (-.f64 (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) (+.f64 x.im x.im)) (patch (-.f64 (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (- (* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im)))))) (* 2 x.im)) (taylor 0 x.re) (#s(alt (-.f64 (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) (+.f64 x.im x.im)) (patch (-.f64 (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (pow x.re 3) (taylor inf x.re) (#s(alt (-.f64 (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) (+.f64 x.im x.im)) (patch (-.f64 (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re)))) (taylor inf x.re) (#s(alt (-.f64 (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) (+.f64 x.im x.im)) (patch (-.f64 (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re))))) (taylor inf x.re) (#s(alt (-.f64 (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) (+.f64 x.im x.im)) (patch (-.f64 (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 3) (+ 1 (+ (* -2 (/ x.im (pow x.re 3))) (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))))) (taylor inf x.re) (#s(alt (-.f64 (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) (+.f64 x.im x.im)) (patch (-.f64 (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (pow x.re 3) (taylor -inf x.re) (#s(alt (-.f64 (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) (+.f64 x.im x.im)) (patch (-.f64 (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1))) (taylor -inf x.re) (#s(alt (-.f64 (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) (+.f64 x.im x.im)) (patch (-.f64 (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))) x.re)) 1))) (taylor -inf x.re) (#s(alt (-.f64 (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) (+.f64 x.im x.im)) (patch (-.f64 (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (+ (* 2 (/ x.im x.re)) (pow x.im 2)) x.re)))) x.re)) 1))) (taylor -inf x.re) (#s(alt (-.f64 (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) (+.f64 x.im x.im)) (patch (-.f64 (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) (+.f64 x.im x.im)) #<representation binary64>) () ())) ())
#s(alt (pow x.re 5) (taylor 0 x.im) (#s(alt (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (patch (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im (* x.re (+ (* -1 (pow x.re 3)) (pow x.re 3)))) (pow x.re 5)) (taylor 0 x.im) (#s(alt (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (patch (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im (+ (* x.im (* x.re (+ (* -1 (pow x.re 2)) (pow x.re 2)))) (* x.re (+ (* -1 (pow x.re 3)) (pow x.re 3))))) (pow x.re 5)) (taylor 0 x.im) (#s(alt (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (patch (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im (+ (* x.im (+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (* x.re (+ (* -1 (pow x.re 2)) (pow x.re 2))))) (* x.re (+ (* -1 (pow x.re 3)) (pow x.re 3))))) (pow x.re 5)) (taylor 0 x.im) (#s(alt (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (patch (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.im 4) x.re)) (taylor inf x.im) (#s(alt (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (patch (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 4) (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im))) (taylor inf x.im) (#s(alt (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (patch (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 4) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (* x.re (+ (* -1 (pow x.re 2)) (pow x.re 2))) (pow x.im 2))))) (taylor inf x.im) (#s(alt (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (patch (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 4) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (+ (/ (* x.re (+ (* -1 (pow x.re 2)) (pow x.re 2))) (pow x.im 2)) (/ (* x.re (+ (* -1 (pow x.re 3)) (pow x.re 3))) (pow x.im 3)))))) (taylor inf x.im) (#s(alt (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (patch (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.im 4) x.re)) (taylor -inf x.im) (#s(alt (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (patch (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 4) (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im)))) (taylor -inf x.im) (#s(alt (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (patch (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 4) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (* x.re (+ (* -1 (pow x.re 2)) (pow x.re 2))) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im)))) (taylor -inf x.im) (#s(alt (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (patch (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 4) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* x.re (+ (* -1 (pow x.re 3)) (pow x.re 3))) x.im)) (* x.re (+ (* -1 (pow x.re 2)) (pow x.re 2)))) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im)))) (taylor -inf x.im) (#s(alt (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (patch (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.im 4) x.re)) (taylor 0 x.re) (#s(alt (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (patch (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) #<representation binary64>) () ())) ())
#s(alt (* x.re (+ (* -1 (pow x.im 4)) (* x.re (+ (* -1 (pow x.im 3)) (pow x.im 3))))) (taylor 0 x.re) (#s(alt (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (patch (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) #<representation binary64>) () ())) ())
#s(alt (* x.re (+ (* -1 (pow x.im 4)) (* x.re (+ (* -1 (pow x.im 3)) (+ (* x.re (+ (* -1 (pow x.im 2)) (pow x.im 2))) (pow x.im 3)))))) (taylor 0 x.re) (#s(alt (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (patch (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) #<representation binary64>) () ())) ())
#s(alt (* x.re (+ (* -1 (pow x.im 4)) (* x.re (+ (* -1 (pow x.im 3)) (+ (* x.re (+ (* -1 (pow x.im 2)) (+ (* x.re (+ x.im (* -1 x.im))) (pow x.im 2)))) (pow x.im 3)))))) (taylor 0 x.re) (#s(alt (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (patch (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) #<representation binary64>) () ())) ())
#s(alt (pow x.re 5) (taylor inf x.re) (#s(alt (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (patch (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 5) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re)))) (taylor inf x.re) (#s(alt (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (patch (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 5) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (+ (/ x.im x.re) (/ (pow x.im 2) (pow x.re 2))))))) (taylor inf x.re) (#s(alt (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (patch (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 5) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (+ (* -1 (/ (pow x.im 3) (pow x.re 3))) (+ (/ x.im x.re) (+ (/ (pow x.im 2) (pow x.re 2)) (/ (pow x.im 3) (pow x.re 3))))))))) (taylor inf x.re) (#s(alt (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (patch (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) #<representation binary64>) () ())) ())
#s(alt (pow x.re 5) (taylor -inf x.re) (#s(alt (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (patch (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.re 5) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1))) (taylor -inf x.re) (#s(alt (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (patch (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.re 5) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (+ (* -1 (pow x.im 2)) (pow x.im 2)) x.re)))) x.re)) 1))) (taylor -inf x.re) (#s(alt (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (patch (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x.re 5) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow x.im 3)) (pow x.im 3)) x.re)) (+ (* -1 (pow x.im 2)) (pow x.im 2))) x.re)))) x.re)) 1))) (taylor -inf x.re) (#s(alt (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (patch (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) #<representation binary64>) () ())) ())
#s(alt (pow x.re 4) (taylor 0 x.im) (#s(alt (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) (patch (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) #<representation binary64>) () ())) ())
#s(alt (+ (* x.im (+ (* -1 (pow x.re 3)) (pow x.re 3))) (pow x.re 4)) (taylor 0 x.im) (#s(alt (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) (patch (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) #<representation binary64>) () ())) ())
#s(alt (+ (* 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)) (taylor 0 x.im) (#s(alt (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) (patch (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) #<representation binary64>) () ())) ())
#s(alt (+ (* 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)) (taylor 0 x.im) (#s(alt (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) (patch (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x.im 4)) (taylor inf x.im) (#s(alt (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) (patch (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 4) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1)) (taylor inf x.im) (#s(alt (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) (patch (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 4) (- (+ (* -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)) (taylor inf x.im) (#s(alt (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) (patch (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 4) (- (+ (* -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)) (taylor inf x.im) (#s(alt (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) (patch (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x.im 4)) (taylor -inf x.im) (#s(alt (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) (patch (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 4) (- (* -1 (/ (+ x.re (* -1 x.re)) x.im)) 1)) (taylor -inf x.im) (#s(alt (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) (patch (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 4) (- (* -1 (/ (+ x.re (+ (* -1 x.re) (* -1 (/ (+ (* -1 (pow x.re 2)) (pow x.re 2)) x.im)))) x.im)) 1)) (taylor -inf x.im) (#s(alt (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) (patch (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.im 4) (- (* -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)) (taylor -inf x.im) (#s(alt (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) (patch (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x.im 4)) (taylor 0 x.re) (#s(alt (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) (patch (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow x.im 4)) (* x.re (+ (* -1 (pow x.im 3)) (pow x.im 3)))) (taylor 0 x.re) (#s(alt (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) (patch (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow x.im 4)) (* x.re (+ (* -1 (pow x.im 3)) (+ (* x.re (+ (* -1 (pow x.im 2)) (pow x.im 2))) (pow x.im 3))))) (taylor 0 x.re) (#s(alt (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) (patch (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (pow x.im 4)) (* x.re (+ (* -1 (pow x.im 3)) (+ (* x.re (+ (* -1 (pow x.im 2)) (+ (* x.re (+ x.im (* -1 x.im))) (pow x.im 2)))) (pow x.im 3))))) (taylor 0 x.re) (#s(alt (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) (patch (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) #<representation binary64>) () ())) ())
#s(alt (pow x.re 4) (taylor inf x.re) (#s(alt (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) (patch (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 4) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re)))) (taylor inf x.re) (#s(alt (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) (patch (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 4) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (+ (/ x.im x.re) (/ (pow x.im 2) (pow x.re 2))))))) (taylor inf x.re) (#s(alt (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) (patch (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 4) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (+ (* -1 (/ (pow x.im 3) (pow x.re 3))) (+ (/ x.im x.re) (+ (/ (pow x.im 2) (pow x.re 2)) (/ (pow x.im 3) (pow x.re 3))))))))) (taylor inf x.re) (#s(alt (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) (patch (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) #<representation binary64>) () ())) ())
#s(alt (pow x.re 4) (taylor -inf x.re) (#s(alt (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) (patch (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 4) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re)))) (taylor -inf x.re) (#s(alt (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) (patch (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 4) (+ 1 (* -1 (/ (+ (* -1 (+ x.im (* -1 x.im))) (+ (* -1 (/ (pow x.im 2) x.re)) (/ (pow x.im 2) x.re))) x.re)))) (taylor -inf x.re) (#s(alt (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) (patch (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) #<representation binary64>) () ())) ())
#s(alt (* (pow x.re 4) (+ 1 (* -1 (/ (+ (* -1 (+ x.im (* -1 x.im))) (* -1 (/ (+ (* -1 (+ (* -1 (pow x.im 2)) (pow x.im 2))) (+ (* -1 (/ (pow x.im 3) x.re)) (/ (pow x.im 3) x.re))) x.re))) x.re)))) (taylor -inf x.re) (#s(alt (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) (patch (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) #<representation binary64>) () ())) ())
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#s(alt (pow x.re 2) (taylor 0 x.re) (#s(alt (.f64 x.re x.re) (patch (.f64 x.re x.re) #<representation binary64>) () ())) ())
#s(alt (pow x.re 2) (taylor 0 x.re) (#s(alt (.f64 x.re x.re) (patch (.f64 x.re x.re) #<representation binary64>) () ())) ())
#s(alt (pow x.re 2) (taylor inf x.re) (#s(alt (.f64 x.re x.re) (patch (.f64 x.re x.re) #<representation binary64>) () ())) ())
#s(alt (pow x.re 2) (taylor inf x.re) (#s(alt (.f64 x.re x.re) (patch (.f64 x.re x.re) #<representation binary64>) () ())) ())
#s(alt (pow x.re 2) (taylor inf x.re) (#s(alt (.f64 x.re x.re) (patch (.f64 x.re x.re) #<representation binary64>) () ())) ())
#s(alt (pow x.re 2) (taylor inf x.re) (#s(alt (.f64 x.re x.re) (patch (.f64 x.re x.re) #<representation binary64>) () ())) ())
#s(alt (pow x.re 2) (taylor -inf x.re) (#s(alt (.f64 x.re x.re) (patch (.f64 x.re x.re) #<representation binary64>) () ())) ())
#s(alt (pow x.re 2) (taylor -inf x.re) (#s(alt (.f64 x.re x.re) (patch (.f64 x.re x.re) #<representation binary64>) () ())) ())
#s(alt (pow x.re 2) (taylor -inf x.re) (#s(alt (.f64 x.re x.re) (patch (.f64 x.re x.re) #<representation binary64>) () ())) ())
#s(alt (pow x.re 2) (taylor -inf x.re) (#s(alt (.f64 x.re x.re) (patch (.f64 x.re x.re) #<representation binary64>) () ())) ())

Calls

114 calls:

Time	Variable		Point	Expression
0.0ms	x.re	@	0	(* (* (+ (* x.im x.im) (* x.re x.re)) (* (- x.re x.im) (+ x.im x.re))) x.re)
0.0ms	x.re	@	inf	(* (* (+ (* x.im x.im) (* x.re x.re)) (* (- x.re x.im) (+ x.im x.re))) x.re)
0.0ms	x.im	@	0	(* (* (+ (* x.im x.im) (* x.re x.re)) (* (- x.re x.im) (+ x.im x.re))) x.re)
0.0ms	x.re	@	-inf	(* (* (+ (* x.im x.im) (* x.re x.re)) (* (- x.re x.im) (+ x.im x.re))) x.re)
0.0ms	x.im	@	inf	(* (* (+ (* x.im x.im) (* x.re x.re)) (* (- x.re x.im) (+ x.im x.re))) x.re)

simplify185.0ms (1.5%)

Memory

33.0MiB live, 255.9MiB allocated

Algorithm

1×	egg-herbie

Rules

8 612×	`lower-fma.f64`
8 612×	`lower-fma.f32`
3 314×	`lower-*.f64`
3 314×	`lower-*.f32`
2 626×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	440	4054
1	1504	3358
2	5286	3158
0	8194	3042

Stop Event

1×	iter limit
1×	node limit

Counts

456 → 447

Calls

Call 1

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

Outputs
(pow x.re 2)
(*.f64 x.re x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(+ (* x.im x.re) (pow x.re 2))
(*.f64 x.re (+.f64 x.re x.im))
(+ (* x.im x.re) (pow x.re 2))
(*.f64 x.re (+.f64 x.re x.im))
(+ (* x.im x.re) (pow x.re 2))
(*.f64 x.re (+.f64 x.re x.im))
(* x.im x.re)
(*.f64 x.re x.im)
(* x.im (+ x.re (/ (pow x.re 2) x.im)))
(*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))
(* x.im (+ x.re (/ (pow x.re 2) x.im)))
(*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))
(* x.im (+ x.re (/ (pow x.re 2) x.im)))
(*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))
(* x.im x.re)
(*.f64 x.re x.im)
(* -1 (* x.im (+ (* -1 x.re) (* -1 (/ (pow x.re 2) x.im)))))
(*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))
(* -1 (* x.im (+ (* -1 x.re) (* -1 (/ (pow x.re 2) x.im)))))
(*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))
(* -1 (* x.im (+ (* -1 x.re) (* -1 (/ (pow x.re 2) x.im)))))
(*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))
(* x.im x.re)
(*.f64 x.re x.im)
(* x.re (+ x.im x.re))
(*.f64 x.re (+.f64 x.re x.im))
(* x.re (+ x.im x.re))
(*.f64 x.re (+.f64 x.re x.im))
(* x.re (+ x.im x.re))
(*.f64 x.re (+.f64 x.re x.im))
(pow x.re 2)
(*.f64 x.re x.re)
(* (pow x.re 2) (+ 1 (/ x.im x.re)))
(*.f64 x.re (fma.f64 x.re (/.f64 x.im x.re) x.re))
(* (pow x.re 2) (+ 1 (/ x.im x.re)))
(*.f64 x.re (fma.f64 x.re (/.f64 x.im x.re) x.re))
(* (pow x.re 2) (+ 1 (/ x.im x.re)))
(*.f64 x.re (fma.f64 x.re (/.f64 x.im x.re) x.re))
(pow x.re 2)
(*.f64 x.re x.re)
(* (pow x.re 2) (+ 1 (/ x.im x.re)))
(*.f64 x.re (fma.f64 x.re (/.f64 x.im x.re) x.re))
(* (pow x.re 2) (+ 1 (/ x.im x.re)))
(*.f64 x.re (fma.f64 x.re (/.f64 x.im x.re) x.re))
(* (pow x.re 2) (+ 1 (/ x.im x.re)))
(*.f64 x.re (fma.f64 x.re (/.f64 x.im x.re) x.re))
(/ (pow x.re 2) x.im)
(/.f64 (*.f64 x.re x.re) x.im)
(/ (+ (* x.im x.re) (pow x.re 2)) x.im)
(/.f64 (*.f64 x.re (+.f64 x.re x.im)) x.im)
(/ (+ (* x.im x.re) (pow x.re 2)) x.im)
(/.f64 (*.f64 x.re (+.f64 x.re x.im)) x.im)
(/ (+ (* x.im x.re) (pow x.re 2)) x.im)
(/.f64 (*.f64 x.re (+.f64 x.re x.im)) x.im)
x.re
(+ x.re (/ (pow x.re 2) x.im))
(fma.f64 x.re (/.f64 x.re x.im) x.re)
(+ x.re (/ (pow x.re 2) x.im))
(fma.f64 x.re (/.f64 x.re x.im) x.re)
(+ x.re (/ (pow x.re 2) x.im))
(fma.f64 x.re (/.f64 x.re x.im) x.re)
x.re
(+ x.re (/ (pow x.re 2) x.im))
(fma.f64 x.re (/.f64 x.re x.im) x.re)
(+ x.re (/ (pow x.re 2) x.im))
(fma.f64 x.re (/.f64 x.re x.im) x.re)
(+ x.re (/ (pow x.re 2) x.im))
(fma.f64 x.re (/.f64 x.re x.im) x.re)
x.re
(* x.re (+ 1 (/ x.re x.im)))
(fma.f64 x.re (/.f64 x.re x.im) x.re)
(* x.re (+ 1 (/ x.re x.im)))
(fma.f64 x.re (/.f64 x.re x.im) x.re)
(* x.re (+ 1 (/ x.re x.im)))
(fma.f64 x.re (/.f64 x.re x.im) x.re)
(/ (pow x.re 2) x.im)
(/.f64 (*.f64 x.re x.re) x.im)
(* (pow x.re 2) (+ (/ 1 x.im) (/ 1 x.re)))
(fma.f64 x.re (/.f64 x.re x.im) x.re)
(* (pow x.re 2) (+ (/ 1 x.im) (/ 1 x.re)))
(fma.f64 x.re (/.f64 x.re x.im) x.re)
(* (pow x.re 2) (+ (/ 1 x.im) (/ 1 x.re)))
(fma.f64 x.re (/.f64 x.re x.im) x.re)
(/ (pow x.re 2) x.im)
(/.f64 (*.f64 x.re x.re) x.im)
(* (pow x.re 2) (+ (/ 1 x.im) (/ 1 x.re)))
(fma.f64 x.re (/.f64 x.re x.im) x.re)
(* (pow x.re 2) (+ (/ 1 x.im) (/ 1 x.re)))
(fma.f64 x.re (/.f64 x.re x.im) x.re)
(* (pow x.re 2) (+ (/ 1 x.im) (/ 1 x.re)))
(fma.f64 x.re (/.f64 x.re x.im) x.re)
(* x.re (+ (* -2 (pow x.im 2)) (* -1 (pow x.im 2))))
(.f64 x.re (.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))
(* x.re (+ (* -2 (pow x.im 2)) (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im))))))
(.f64 x.re (.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))
(* x.re (+ (* -2 (pow x.im 2)) (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im)))))))
(.f64 x.re (fma.f64 x.re x.re (.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))
(* x.re (+ (* -2 (pow x.im 2)) (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im)))))))
(.f64 x.re (fma.f64 x.re x.re (.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))
(pow x.re 3)
(.f64 x.re (.f64 x.re x.re))
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))
(.f64 x.re (.f64 x.re x.re))
(* (pow x.re 3) (+ 1 (+ (* -2 (/ (pow x.im 2) (pow x.re 2))) (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re))))))
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(.f64 (.f64 x.re (.f64 x.re x.re)) (fma.f64 (neg.f64 x.im) (/.f64 x.im (.f64 x.re x.re)) #s(literal 1 binary64)))
(* (pow x.re 3) (+ 1 (+ (* -2 (/ x.im (pow x.re 3))) (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re))))))
(.f64 (.f64 x.re (.f64 x.re x.re)) (fma.f64 (neg.f64 x.im) (/.f64 x.im (.f64 x.re x.re)) (fma.f64 x.im (/.f64 #s(literal -2 binary64) (.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 (* -1 x.im)) x.re)) 1)))
(.f64 x.re (.f64 x.re x.re))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))) x.re)) 1)))
(.f64 (.f64 x.re (.f64 x.re x.re)) (fma.f64 (neg.f64 x.im) (/.f64 x.im (.f64 x.re x.re)) #s(literal 1 binary64)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (+ (* 2 (/ x.im x.re)) (pow x.im 2)) x.re)))) x.re)) 1)))
(.f64 (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (.f64 x.im (+.f64 x.im (/.f64 #s(literal 2 binary64) x.re))) x.re) x.re)) (.f64 x.re (.f64 x.re (neg.f64 x.re))))
(pow x.re 5)
(pow.f64 x.re #s(literal 5 binary64))
(+ (* x.im (* x.re (+ (* -1 (pow x.re 3)) (pow x.re 3)))) (pow x.re 5))
(pow.f64 x.re #s(literal 5 binary64))
(+ (* x.im (+ (* x.im (* x.re (+ (* -1 (pow x.re 2)) (pow x.re 2)))) (* x.re (+ (* -1 (pow x.re 3)) (pow x.re 3))))) (pow x.re 5))
(pow.f64 x.re #s(literal 5 binary64))
(+ (* x.im (+ (* x.im (+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (* x.re (+ (* -1 (pow x.re 2)) (pow x.re 2))))) (* x.re (+ (* -1 (pow x.re 3)) (pow x.re 3))))) (pow x.re 5))
(pow.f64 x.re #s(literal 5 binary64))
(* -1 (* (pow x.im 4) x.re))
(*.f64 (neg.f64 x.re) (pow.f64 x.im #s(literal 4 binary64)))
(* (pow x.im 4) (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)))
(*.f64 (neg.f64 x.re) (pow.f64 x.im #s(literal 4 binary64)))
(* (pow x.im 4) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (* x.re (+ (* -1 (pow x.re 2)) (pow x.re 2))) (pow x.im 2)))))
(*.f64 (neg.f64 x.re) (pow.f64 x.im #s(literal 4 binary64)))
(* (pow x.im 4) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (+ (/ (* x.re (+ (* -1 (pow x.re 2)) (pow x.re 2))) (pow x.im 2)) (/ (* x.re (+ (* -1 (pow x.re 3)) (pow x.re 3))) (pow x.im 3))))))
(*.f64 (neg.f64 x.re) (pow.f64 x.im #s(literal 4 binary64)))
(* -1 (* (pow x.im 4) x.re))
(*.f64 (neg.f64 x.re) (pow.f64 x.im #s(literal 4 binary64)))
(* (pow x.im 4) (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im))))
(*.f64 (neg.f64 x.re) (pow.f64 x.im #s(literal 4 binary64)))
(* (pow x.im 4) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (* x.re (+ (* -1 (pow x.re 2)) (pow x.re 2))) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))))
(*.f64 (neg.f64 x.re) (pow.f64 x.im #s(literal 4 binary64)))
(* (pow x.im 4) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* x.re (+ (* -1 (pow x.re 3)) (pow x.re 3))) x.im)) (* x.re (+ (* -1 (pow x.re 2)) (pow x.re 2)))) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))))
(*.f64 (neg.f64 x.re) (pow.f64 x.im #s(literal 4 binary64)))
(* -1 (* (pow x.im 4) x.re))
(*.f64 (neg.f64 x.re) (pow.f64 x.im #s(literal 4 binary64)))
(* x.re (+ (* -1 (pow x.im 4)) (* x.re (+ (* -1 (pow x.im 3)) (pow x.im 3)))))
(*.f64 (neg.f64 x.re) (pow.f64 x.im #s(literal 4 binary64)))
(* x.re (+ (* -1 (pow x.im 4)) (* x.re (+ (* -1 (pow x.im 3)) (+ (* x.re (+ (* -1 (pow x.im 2)) (pow x.im 2))) (pow x.im 3))))))
(*.f64 (neg.f64 x.re) (pow.f64 x.im #s(literal 4 binary64)))
(* x.re (+ (* -1 (pow x.im 4)) (* x.re (+ (* -1 (pow x.im 3)) (+ (* x.re (+ (* -1 (pow x.im 2)) (+ (* x.re (+ x.im (* -1 x.im))) (pow x.im 2)))) (pow x.im 3))))))
(*.f64 (neg.f64 x.re) (pow.f64 x.im #s(literal 4 binary64)))
(pow x.re 5)
(pow.f64 x.re #s(literal 5 binary64))
(* (pow x.re 5) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))
(pow.f64 x.re #s(literal 5 binary64))
(* (pow x.re 5) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (+ (/ x.im x.re) (/ (pow x.im 2) (pow x.re 2)))))))
(.f64 (pow.f64 x.re #s(literal 5 binary64)) (fma.f64 #s(literal 0 binary64) (/.f64 (.f64 x.im x.im) (*.f64 x.re x.re)) #s(literal 1 binary64)))
(* (pow x.re 5) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (+ (* -1 (/ (pow x.im 3) (pow x.re 3))) (+ (/ x.im x.re) (+ (/ (pow x.im 2) (pow x.re 2)) (/ (pow x.im 3) (pow x.re 3)))))))))
(.f64 (pow.f64 x.re #s(literal 5 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) (fma.f64 #s(literal 0 binary64) (.f64 (/.f64 x.im (*.f64 x.re x.re)) (fma.f64 x.im (/.f64 x.im x.re) x.im)) (/.f64 x.im x.re))))
(pow x.re 5)
(pow.f64 x.re #s(literal 5 binary64))
(* -1 (* (pow x.re 5) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1)))
(pow.f64 x.re #s(literal 5 binary64))
(* -1 (* (pow x.re 5) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (+ (* -1 (pow x.im 2)) (pow x.im 2)) x.re)))) x.re)) 1)))
(pow.f64 x.re #s(literal 5 binary64))
(* -1 (* (pow x.re 5) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow x.im 3)) (pow x.im 3)) x.re)) (+ (* -1 (pow x.im 2)) (pow x.im 2))) x.re)))) x.re)) 1)))
(pow.f64 x.re #s(literal 5 binary64))
(pow x.re 4)
(.f64 x.re (.f64 x.re (*.f64 x.re x.re)))
(+ (* x.im (+ (* -1 (pow x.re 3)) (pow x.re 3))) (pow x.re 4))
(.f64 x.re (.f64 x.re (*.f64 x.re x.re)))
(+ (* 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))
(.f64 x.re (.f64 x.re (*.f64 x.re x.re)))
(+ (* 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))
(.f64 x.re (.f64 x.re (*.f64 x.re x.re)))
(* -1 (pow x.im 4))
(neg.f64 (pow.f64 x.im #s(literal 4 binary64)))
(* (pow x.im 4) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))
(neg.f64 (pow.f64 x.im #s(literal 4 binary64)))
(* (pow x.im 4) (- (+ (* -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))
(*.f64 (pow.f64 x.im #s(literal 4 binary64)) (-.f64 (+.f64 (+.f64 (/.f64 x.re x.im) #s(literal 0 binary64)) #s(literal -1 binary64)) (/.f64 x.re x.im)))
(* (pow x.im 4) (- (+ (* -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))
(*.f64 (pow.f64 x.im #s(literal 4 binary64)) (-.f64 (+.f64 (+.f64 (/.f64 x.re x.im) #s(literal 0 binary64)) #s(literal -1 binary64)) (/.f64 x.re x.im)))
(* -1 (pow x.im 4))
(neg.f64 (pow.f64 x.im #s(literal 4 binary64)))
(* (pow x.im 4) (- (* -1 (/ (+ x.re (* -1 x.re)) x.im)) 1))
(neg.f64 (pow.f64 x.im #s(literal 4 binary64)))
(* (pow x.im 4) (- (* -1 (/ (+ x.re (+ (* -1 x.re) (* -1 (/ (+ (* -1 (pow x.re 2)) (pow x.re 2)) x.im)))) x.im)) 1))
(neg.f64 (pow.f64 x.im #s(literal 4 binary64)))
(* (pow x.im 4) (- (* -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))
(neg.f64 (pow.f64 x.im #s(literal 4 binary64)))
(* -1 (pow x.im 4))
(neg.f64 (pow.f64 x.im #s(literal 4 binary64)))
(+ (* -1 (pow x.im 4)) (* x.re (+ (* -1 (pow x.im 3)) (pow x.im 3))))
(neg.f64 (pow.f64 x.im #s(literal 4 binary64)))
(+ (* -1 (pow x.im 4)) (* x.re (+ (* -1 (pow x.im 3)) (+ (* x.re (+ (* -1 (pow x.im 2)) (pow x.im 2))) (pow x.im 3)))))
(neg.f64 (pow.f64 x.im #s(literal 4 binary64)))
(+ (* -1 (pow x.im 4)) (* x.re (+ (* -1 (pow x.im 3)) (+ (* x.re (+ (* -1 (pow x.im 2)) (+ (* x.re (+ x.im (* -1 x.im))) (pow x.im 2)))) (pow x.im 3)))))
(neg.f64 (pow.f64 x.im #s(literal 4 binary64)))
(pow x.re 4)
(.f64 x.re (.f64 x.re (*.f64 x.re x.re)))
(* (pow x.re 4) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))
(.f64 x.re (.f64 x.re (*.f64 x.re x.re)))
(* (pow x.re 4) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (+ (/ x.im x.re) (/ (pow x.im 2) (pow x.re 2)))))))
(.f64 (fma.f64 #s(literal 0 binary64) (/.f64 (.f64 x.im x.im) (.f64 x.re x.re)) #s(literal 1 binary64)) (.f64 x.re (.f64 x.re (.f64 x.re x.re))))
(* (pow x.re 4) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (+ (* -1 (/ (pow x.im 3) (pow x.re 3))) (+ (/ x.im x.re) (+ (/ (pow x.im 2) (pow x.re 2)) (/ (pow x.im 3) (pow x.re 3)))))))))
(.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) (fma.f64 #s(literal 0 binary64) (.f64 (/.f64 x.im (.f64 x.re x.re)) (fma.f64 x.im (/.f64 x.im x.re) x.im)) (/.f64 x.im x.re))) (.f64 x.re (.f64 x.re (.f64 x.re x.re))))
(pow x.re 4)
(.f64 x.re (.f64 x.re (*.f64 x.re x.re)))
(* (pow x.re 4) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))
(.f64 x.re (.f64 x.re (*.f64 x.re x.re)))
(* (pow x.re 4) (+ 1 (* -1 (/ (+ (* -1 (+ x.im (* -1 x.im))) (+ (* -1 (/ (pow x.im 2) x.re)) (/ (pow x.im 2) x.re))) x.re))))
(.f64 x.re (.f64 x.re (*.f64 x.re x.re)))
(* (pow x.re 4) (+ 1 (* -1 (/ (+ (* -1 (+ x.im (* -1 x.im))) (* -1 (/ (+ (* -1 (+ (* -1 (pow x.im 2)) (pow x.im 2))) (+ (* -1 (/ (pow x.im 3) x.re)) (/ (pow x.im 3) x.re))) x.re))) x.re))))
(.f64 x.re (.f64 x.re (*.f64 x.re x.re)))
(* -1 (* (pow x.im 2) x.re))
(.f64 x.re (.f64 x.im (neg.f64 x.im)))
(* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))))
(.f64 x.re (.f64 x.im (neg.f64 x.im)))
(* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))))
(.f64 x.re (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))
(* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))))
(.f64 x.re (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))
(pow x.re 3)
(.f64 x.re (.f64 x.re x.re))
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))
(.f64 x.re (.f64 x.re x.re))
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))))
(.f64 (.f64 x.re (.f64 x.re x.re)) (fma.f64 (neg.f64 x.im) (/.f64 x.im (.f64 x.re x.re)) #s(literal 1 binary64)))
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))))
(.f64 (.f64 x.re (.f64 x.re x.re)) (fma.f64 (neg.f64 x.im) (/.f64 x.im (.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 (* -1 x.im)) x.re)) 1)))
(.f64 x.re (.f64 x.re x.re))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))) x.re)) 1)))
(.f64 (.f64 x.re (.f64 x.re x.re)) (fma.f64 (neg.f64 x.im) (/.f64 x.im (.f64 x.re x.re)) #s(literal 1 binary64)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))) x.re)) 1)))
(.f64 (.f64 x.re (.f64 x.re x.re)) (fma.f64 (neg.f64 x.im) (/.f64 x.im (.f64 x.re x.re)) #s(literal 1 binary64)))
(pow x.re 3)
(.f64 x.re (.f64 x.re x.re))
(+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3))
(.f64 x.re (.f64 x.re x.re))
(+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(.f64 x.re (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))
(+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(.f64 x.re (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))
(* -1 (* (pow x.im 2) x.re))
(.f64 x.re (.f64 x.im (neg.f64 x.im)))
(* (pow x.im 2) (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)))
(.f64 x.re (.f64 x.im (neg.f64 x.im)))
(* (pow x.im 2) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))))
(.f64 x.im (.f64 x.im (.f64 x.re (fma.f64 x.re (/.f64 x.re (.f64 x.im x.im)) #s(literal -1 binary64)))))
(* (pow x.im 2) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))))
(.f64 x.im (.f64 x.im (.f64 x.re (fma.f64 x.re (/.f64 x.re (.f64 x.im x.im)) #s(literal -1 binary64)))))
(* -1 (* (pow x.im 2) x.re))
(.f64 x.re (.f64 x.im (neg.f64 x.im)))
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im))))
(.f64 x.re (.f64 x.im (neg.f64 x.im)))
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))))
(.f64 x.im (.f64 x.im (.f64 x.re (fma.f64 x.re (/.f64 x.re (.f64 x.im x.im)) #s(literal -1 binary64)))))
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))))
(.f64 x.im (.f64 x.im (.f64 x.re (fma.f64 x.re (/.f64 x.re (.f64 x.im x.im)) #s(literal -1 binary64)))))
x.re
(* x.re (+ 1 (/ x.re x.im)))
(fma.f64 x.re (/.f64 x.re x.im) x.re)
(* x.re (+ 1 (/ x.re x.im)))
(fma.f64 x.re (/.f64 x.re x.im) x.re)
(* x.re (+ 1 (/ x.re x.im)))
(fma.f64 x.re (/.f64 x.re x.im) x.re)
(/ (pow x.re 2) x.im)
(/.f64 (*.f64 x.re x.re) x.im)
(* (pow x.re 2) (+ (/ 1 x.im) (/ 1 x.re)))
(fma.f64 x.re (/.f64 x.re x.im) x.re)
(* (pow x.re 2) (+ (/ 1 x.im) (/ 1 x.re)))
(fma.f64 x.re (/.f64 x.re x.im) x.re)
(* (pow x.re 2) (+ (/ 1 x.im) (/ 1 x.re)))
(fma.f64 x.re (/.f64 x.re x.im) x.re)
(/ (pow x.re 2) x.im)
(/.f64 (*.f64 x.re x.re) x.im)
(* (pow x.re 2) (+ (/ 1 x.im) (/ 1 x.re)))
(fma.f64 x.re (/.f64 x.re x.im) x.re)
(* (pow x.re 2) (+ (/ 1 x.im) (/ 1 x.re)))
(fma.f64 x.re (/.f64 x.re x.im) x.re)
(* (pow x.re 2) (+ (/ 1 x.im) (/ 1 x.re)))
(fma.f64 x.re (/.f64 x.re x.im) x.re)
(/ (pow x.re 2) x.im)
(/.f64 (*.f64 x.re x.re) x.im)
(/ (+ (* x.im x.re) (pow x.re 2)) x.im)
(/.f64 (*.f64 x.re (+.f64 x.re x.im)) x.im)
(/ (+ (* x.im x.re) (pow x.re 2)) x.im)
(/.f64 (*.f64 x.re (+.f64 x.re x.im)) x.im)
(/ (+ (* x.im x.re) (pow x.re 2)) x.im)
(/.f64 (*.f64 x.re (+.f64 x.re x.im)) x.im)
x.re
(+ x.re (/ (pow x.re 2) x.im))
(fma.f64 x.re (/.f64 x.re x.im) x.re)
(+ x.re (/ (pow x.re 2) x.im))
(fma.f64 x.re (/.f64 x.re x.im) x.re)
(+ x.re (/ (pow x.re 2) x.im))
(fma.f64 x.re (/.f64 x.re x.im) x.re)
x.re
(+ x.re (/ (pow x.re 2) x.im))
(fma.f64 x.re (/.f64 x.re x.im) x.re)
(+ x.re (/ (pow x.re 2) x.im))
(fma.f64 x.re (/.f64 x.re x.im) x.re)
(+ x.re (/ (pow x.re 2) x.im))
(fma.f64 x.re (/.f64 x.re x.im) x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(pow x.re 2)
(*.f64 x.re x.re)

rewrite443.0ms (3.6%)

Memory

15.2MiB live, 602.7MiB allocated

Rules

22 442×	`lower-fma.f32`
22 432×	`lower-fma.f64`
3 794×	`lower-/.f32`
3 784×	`lower-/.f64`
3 448×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	274
0	83	277
1	364	203
2	3343	185
0	8836	182

Stop Event

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

Counts

21 → 1 531

Calls

Call 1

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

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

eval667.0ms (5.4%)

Memory: -11.3MiB live, 499.3MiB allocated
Compiler: Compiled 55 160 to 3 960 computations (92.8% saved)

prune556.0ms (4.5%)

Memory

-9.5MiB live, 431.2MiB allocated

Pruning

30 alts after pruning (23 fresh and 7 done)

	Pruned	Kept	Total
New	2 167	12	2 179
Fresh	3	11	14
Picked	1	4	5
Done	0	3	3
Total	2 171	30	2 201

Accuracy

100.0%

Counts

2 201 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	23.9%	(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.re (-.f64 x.re x.im)) (/.f64 #s(literal 1 binary64) (+.f64 x.im x.re))) (+.f64 x.im x.im))
	55.5%	(fma.f64 (/.f64 #s(approx (* x.re (+ x.re x.im)) (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (+.f64 x.im x.re)) (/.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) (/.f64 (-.f64 x.re x.im) (-.f64 x.re x.im))) (+.f64 x.im x.im))
✓	55.7%	(fma.f64 (-.f64 x.re x.im) #s(approx (* x.re (+ x.re x.im)) (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (+.f64 x.im x.im))
	72.3%	(fma.f64 (+.f64 x.im x.im) x.re (.f64 #s(approx ( x.re (+ x.re x.im)) (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (-.f64 x.re x.im)))
	23.4%	(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.re (fma.f64 x.re x.re (.f64 x.im x.im)))) (+.f64 x.im x.im))
✓	89.4%	(fma.f64 (.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (.f64 #s(approx (* x.re (+ x.re x.im)) (*.f64 x.im (fma.f64 (/.f64 #s(literal 1 binary64) x.im) (/.f64 x.re (/.f64 #s(literal 1 binary64) x.re)) x.re))) (-.f64 x.re x.im)))
	17.9%	(-.f64 (/.f64 (.f64 #s(approx ( (+ (* x.im x.im) (* x.re x.re)) (* (- x.re x.im) (+ x.im x.re))) (.f64 x.re (.f64 x.re (.f64 x.re x.re)))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) (+.f64 x.im x.im))
	24.3%	(-.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (.f64 x.re x.re))) (/.f64 #s(literal 1 binary64) (+.f64 x.im x.re)))) (*.f64 (-.f64 x.re x.im) x.re)) (+.f64 x.im x.im))
	18.0%	(-.f64 (.f64 (.f64 (/.f64 (-.f64 x.re x.im) (.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 x.re x.im) x.re)) (+.f64 x.im x.im))
	36.7%	#s(approx (- (/ (* (* (+ (* x.im x.im) (* x.re x.re)) (* (- x.re x.im) (+ x.im x.re))) x.re) (+ (* x.im x.im) (* x.re x.re))) (+ x.im x.im)) (.f64 x.re (.f64 x.im (neg.f64 x.im))))
	21.2%	#s(approx (- (/ (* (* (+ (* x.im x.im) (* x.re x.re)) (* (- x.re x.im) (+ x.im x.re))) x.re) (+ (* x.im x.im) (* x.re x.re))) (+ x.im x.im)) (.f64 x.im (-.f64 #s(literal -2 binary64) (.f64 x.re x.im))))
	59.6%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64)))
	56.7%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 x.re x.im) #s(literal -3 binary64)) x.im))
	56.7%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 x.im x.re) x.im) #s(literal -3 binary64)))
	51.6%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64)))
✓	56.7%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.im x.re) (*.f64 x.im #s(literal -3 binary64))))
	61.7%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.im x.im) (.f64 x.re (fma.f64 x.re (/.f64 x.re (.f64 x.im x.im)) #s(literal -3 binary64)))))
	57.0%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.im x.im) (.f64 x.re (+.f64 #s(literal -3 binary64) (/.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))))
✓	91.5%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (fma.f64 x.re x.re (.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))))
✓	59.5%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (.f64 x.re x.re)))
✓	51.7%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
	56.8%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.im (.f64 (*.f64 x.im #s(literal -3 binary64)) x.re)))
	17.3%	#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (fma.f64 x.im #s(literal -2 binary64) (+.f64 x.im x.im)))
	3.0%	#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (+.f64 x.im x.im))
	22.3%	#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (*.f64 (+.f64 x.im x.im) (neg.f64 x.re)))
	27.1%	#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (*.f64 (+.f64 x.im x.im) (neg.f64 x.im)))
	21.4%	#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (*.f64 (+.f64 x.im x.im) x.re))
	13.9%	#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (*.f64 (+.f64 x.im x.im) x.im))
✓	4.5%	#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (*.f64 x.im #s(literal -2 binary64)))
	3.0%	#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (*.f64 #s(literal 8 binary64) (+.f64 x.im x.im)))

Compiler

Compiled 1 454 to 398 computations (72.6% saved)

regimes65.0ms (0.5%)

Memory

15.2MiB live, 53.7MiB allocated

Counts

56 → 2

Calls

Call 1

Inputs
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (+.f64 x.im x.im))
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (*.f64 x.im #s(literal -2 binary64)))
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (*.f64 #s(literal 8 binary64) (+.f64 x.im x.im)))
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (*.f64 (+.f64 x.im x.im) x.im))
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (*.f64 (+.f64 x.im x.im) x.re))
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (fma.f64 x.im #s(literal -2 binary64) (+.f64 x.im x.im)))
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (*.f64 (+.f64 x.im x.im) (neg.f64 x.im)))
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (*.f64 (+.f64 x.im x.im) (neg.f64 x.re)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (.f64 x.re x.re)))
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (.f64 x.re (.f64 x.im (neg.f64 x.im))))
#s(approx (- (/ (* (* (+ (* x.im x.im) (* x.re x.re)) (* (- x.re x.im) (+ x.im x.re))) x.re) (+ (* x.im x.im) (* x.re x.re))) (+ x.im x.im)) (.f64 x.re (.f64 x.im (neg.f64 x.im))))
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (.f64 x.im (-.f64 #s(literal -2 binary64) (.f64 x.re x.im))))
#s(approx (- (/ (* (* (+ (* x.im x.im) (* x.re x.re)) (* (- x.re x.im) (+ x.im x.re))) x.re) (+ (* x.im x.im) (* x.re x.re))) (+ x.im x.im)) (.f64 x.im (-.f64 #s(literal -2 binary64) (.f64 x.re x.im))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.im (.f64 (*.f64 x.im #s(literal -3 binary64)) x.re)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.im x.re) (*.f64 x.im #s(literal -3 binary64))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 x.im x.re) #s(literal -3 binary64)) x.im))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 x.im x.re) x.im) #s(literal -3 binary64)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 x.re x.im) #s(literal -3 binary64)) x.im))
(fma.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 x.re x.im)) (+.f64 x.im x.im))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (fma.f64 x.re x.re (.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))))
(-.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re)) (+.f64 x.im x.im))
(fma.f64 (+.f64 x.im x.im) x.re (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (fma.f64 x.im (.f64 (.f64 x.im #s(literal -3 binary64)) x.re) (.f64 x.re (.f64 x.re x.re))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (fma.f64 (.f64 x.re #s(literal -3 binary64)) (.f64 x.im x.im) (.f64 x.re (.f64 x.re x.re))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (fma.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64)) (.f64 x.re (.f64 x.re x.re))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (fma.f64 (.f64 x.re (.f64 x.im x.im)) #s(literal -3 binary64) (.f64 x.re (.f64 x.re x.re))))
(fma.f64 (.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) #s(approx ( (* x.re (+ x.re x.im)) (- x.re x.im)) (.f64 x.re (.f64 x.im (neg.f64 x.im)))))
(fma.f64 (.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (.f64 #s(approx (* x.re (+ x.re x.im)) (*.f64 x.re x.im)) (-.f64 x.re x.im)))
(-.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
(-.f64 (.f64 (.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) (.f64 x.im (.f64 x.re (+.f64 x.im x.im))))
(fma.f64 (.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)))
(-.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (neg.f64 (.f64 x.im x.im))) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
(fma.f64 (-.f64 x.re x.im) #s(approx (* x.re (+ x.re x.im)) (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (+.f64 x.im x.im))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) #s(approx ( (+ (* x.re x.im) (* x.im x.re)) x.im) (.f64 x.re (.f64 x.im (*.f64 x.im #s(literal 2 binary64))))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.im x.im) (.f64 x.re (fma.f64 x.re (/.f64 x.re (.f64 x.im x.im)) #s(literal -3 binary64)))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.im x.im) (.f64 x.re (+.f64 #s(literal -3 binary64) (/.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
(fma.f64 (+.f64 x.im x.im) x.re (.f64 #s(approx ( x.re (+ x.re x.im)) (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (-.f64 x.re x.im)))
(fma.f64 (.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (.f64 #s(approx (* x.re (+ x.re x.im)) (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (-.f64 x.re x.im)))
(-.f64 (/.f64 (.f64 #s(approx ( (+ (* x.im x.im) (* x.re x.re)) (* (- x.re x.im) (+ x.im x.re))) (.f64 x.re (.f64 x.re (.f64 x.re x.re)))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) (+.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.re (fma.f64 x.re x.re (.f64 x.im x.im)))) (+.f64 x.im x.im))
(-.f64 (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) (+.f64 x.im x.im))
(fma.f64 (.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (.f64 #s(approx (* x.re (+ x.re x.im)) (*.f64 x.im (fma.f64 (/.f64 #s(literal 1 binary64) x.im) (/.f64 x.re (/.f64 #s(literal 1 binary64) x.re)) x.re))) (-.f64 x.re x.im)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (/.f64 (.f64 (.f64 (fma.f64 x.re x.re (.f64 (.f64 x.im x.im) #s(literal -3 binary64))) (fma.f64 x.re x.re (.f64 #s(literal 3 binary64) (.f64 x.im x.im)))) x.re) (fma.f64 x.re x.re (.f64 #s(literal 3 binary64) (.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.re) (fma.f64 x.re x.re (.f64 x.im x.im))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) 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.re (-.f64 x.re x.im)) (/.f64 #s(literal 1 binary64) (+.f64 x.im x.re))) (+.f64 x.im x.im))
(-.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (.f64 x.re x.re))) (/.f64 #s(literal 1 binary64) (+.f64 x.im x.re)))) (*.f64 (-.f64 x.re x.im) x.re)) (+.f64 x.im x.im))
(fma.f64 (/.f64 #s(approx (* x.re (+ x.re x.im)) (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (+.f64 x.im x.re)) (/.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) (/.f64 (-.f64 x.re x.im) (-.f64 x.re x.im))) (+.f64 x.im x.im))
(-.f64 (.f64 (.f64 (/.f64 (-.f64 x.re x.im) (.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 x.re x.im) x.re)) (+.f64 x.im x.im))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64)))
(-.f64 (/.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 (.f64 x.im x.im) (.f64 x.im x.im)))) 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.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (/.f64 (.f64 x.re (.f64 (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (.f64 (.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)))) (fma.f64 x.im (.f64 x.re (+.f64 x.im x.im)) (.f64 (.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)))) (/.f64 (.f64 x.im (.f64 (.f64 x.re (+.f64 x.im x.im)) (.f64 x.im (.f64 x.re (+.f64 x.im x.im))))) (fma.f64 x.im (.f64 x.re (+.f64 x.im x.im)) (.f64 (.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)))))
(.f64 (-.f64 (.f64 (.f64 (.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) (.f64 x.re (.f64 (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (.f64 (.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))))) (.f64 (.f64 x.im (.f64 x.re (+.f64 x.im x.im))) (.f64 x.im (.f64 (.f64 x.re (+.f64 x.im x.im)) (.f64 x.im (.f64 x.re (+.f64 x.im x.im))))))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re (.f64 (.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) (.f64 (.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))) (.f64 (.f64 x.im (.f64 x.re (+.f64 x.im x.im))) (fma.f64 x.im (.f64 x.re (+.f64 x.im x.im)) (.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)))))))

Outputs

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

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

Calls

3 calls:

33.0ms	x.re
16.0ms	x.im
14.0ms	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))

Results

Accuracy	Segments	Branch
99.8%	2	`x.re`
96.7%	2	`x.im`
99.8%	2	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`

Compiler

Compiled 27 to 15 computations (44.4% saved)

regimes17.0ms (0.1%)

Memory

22.0MiB live, 22.0MiB allocated

Counts

50 → 2

Calls

Call 1

Inputs
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (+.f64 x.im x.im))
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (*.f64 x.im #s(literal -2 binary64)))
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (*.f64 #s(literal 8 binary64) (+.f64 x.im x.im)))
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (*.f64 (+.f64 x.im x.im) x.im))
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (*.f64 (+.f64 x.im x.im) x.re))
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (fma.f64 x.im #s(literal -2 binary64) (+.f64 x.im x.im)))
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (*.f64 (+.f64 x.im x.im) (neg.f64 x.im)))
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (*.f64 (+.f64 x.im x.im) (neg.f64 x.re)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (.f64 x.re x.re)))
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (.f64 x.re (.f64 x.im (neg.f64 x.im))))
#s(approx (- (/ (* (* (+ (* x.im x.im) (* x.re x.re)) (* (- x.re x.im) (+ x.im x.re))) x.re) (+ (* x.im x.im) (* x.re x.re))) (+ x.im x.im)) (.f64 x.re (.f64 x.im (neg.f64 x.im))))
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (.f64 x.im (-.f64 #s(literal -2 binary64) (.f64 x.re x.im))))
#s(approx (- (/ (* (* (+ (* x.im x.im) (* x.re x.re)) (* (- x.re x.im) (+ x.im x.re))) x.re) (+ (* x.im x.im) (* x.re x.re))) (+ x.im x.im)) (.f64 x.im (-.f64 #s(literal -2 binary64) (.f64 x.re x.im))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.im (.f64 (*.f64 x.im #s(literal -3 binary64)) x.re)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.im x.re) (*.f64 x.im #s(literal -3 binary64))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 x.im x.re) #s(literal -3 binary64)) x.im))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 x.im x.re) x.im) #s(literal -3 binary64)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 x.re x.im) #s(literal -3 binary64)) x.im))
(fma.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 x.re x.im)) (+.f64 x.im x.im))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (fma.f64 x.re x.re (.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))))
(-.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re)) (+.f64 x.im x.im))
(fma.f64 (+.f64 x.im x.im) x.re (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (fma.f64 x.im (.f64 (.f64 x.im #s(literal -3 binary64)) x.re) (.f64 x.re (.f64 x.re x.re))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (fma.f64 (.f64 x.re #s(literal -3 binary64)) (.f64 x.im x.im) (.f64 x.re (.f64 x.re x.re))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (fma.f64 (.f64 x.re x.im) (.f64 x.im #s(literal -3 binary64)) (.f64 x.re (.f64 x.re x.re))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (fma.f64 (.f64 x.re (.f64 x.im x.im)) #s(literal -3 binary64) (.f64 x.re (.f64 x.re x.re))))
(fma.f64 (.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) #s(approx ( (* x.re (+ x.re x.im)) (- x.re x.im)) (.f64 x.re (.f64 x.im (neg.f64 x.im)))))
(fma.f64 (.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (.f64 #s(approx (* x.re (+ x.re x.im)) (*.f64 x.re x.im)) (-.f64 x.re x.im)))
(-.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (.f64 x.re x.re)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
(-.f64 (.f64 (.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)) (.f64 x.im (.f64 x.re (+.f64 x.im x.im))))
(fma.f64 (.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)))
(-.f64 (.f64 #s(approx (- ( x.re x.re) (* x.im x.im)) (neg.f64 (.f64 x.im x.im))) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
(fma.f64 (-.f64 x.re x.im) #s(approx (* x.re (+ x.re x.im)) (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (+.f64 x.im x.im))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) #s(approx ( (+ (* x.re x.im) (* x.im x.re)) x.im) (.f64 x.re (.f64 x.im (*.f64 x.im #s(literal 2 binary64))))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.im x.im) (.f64 x.re (fma.f64 x.re (/.f64 x.re (.f64 x.im x.im)) #s(literal -3 binary64)))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.im x.im) (.f64 x.re (+.f64 #s(literal -3 binary64) (/.f64 (.f64 x.re x.re) (*.f64 x.im x.im))))))
(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
(fma.f64 (+.f64 x.im x.im) x.re (.f64 #s(approx ( x.re (+ x.re x.im)) (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (-.f64 x.re x.im)))
(fma.f64 (.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (.f64 #s(approx (* x.re (+ x.re x.im)) (*.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (-.f64 x.re x.im)))
(-.f64 (/.f64 (.f64 #s(approx ( (+ (* x.im x.im) (* x.re x.re)) (* (- x.re x.im) (+ x.im x.re))) (.f64 x.re (.f64 x.re (.f64 x.re x.re)))) x.re) (fma.f64 x.im x.im (.f64 x.re x.re))) (+.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.re (fma.f64 x.re x.re (.f64 x.im x.im)))) (+.f64 x.im x.im))
(-.f64 (/.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) (+.f64 x.im x.im))
(fma.f64 (.f64 x.re (+.f64 x.im x.im)) (neg.f64 x.im) (.f64 #s(approx (* x.re (+ x.re x.im)) (*.f64 x.im (fma.f64 (/.f64 #s(literal 1 binary64) x.im) (/.f64 x.re (/.f64 #s(literal 1 binary64) x.re)) x.re))) (-.f64 x.re x.im)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (/.f64 (.f64 (.f64 (fma.f64 x.re x.re (.f64 (.f64 x.im x.im) #s(literal -3 binary64))) (fma.f64 x.re x.re (.f64 #s(literal 3 binary64) (.f64 x.im x.im)))) x.re) (fma.f64 x.re x.re (.f64 #s(literal 3 binary64) (.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.re) (fma.f64 x.re x.re (.f64 x.im x.im))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) 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.re (-.f64 x.re x.im)) (/.f64 #s(literal 1 binary64) (+.f64 x.im x.re))) (+.f64 x.im x.im))
(-.f64 (.f64 (.f64 (fma.f64 x.im x.im (.f64 x.re x.re)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im (.f64 x.re x.re))) (/.f64 #s(literal 1 binary64) (+.f64 x.im x.re)))) (*.f64 (-.f64 x.re x.im) x.re)) (+.f64 x.im x.im))

Outputs

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

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

Calls

1 calls:

14.0ms

x.re

Results

Accuracy	Segments	Branch
99.8%	2	`x.re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes42.0ms (0.3%)

Memory

-19.3MiB live, 19.1MiB allocated

Counts

25 → 2

Calls

Call 1

Inputs
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (+.f64 x.im x.im))
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (*.f64 x.im #s(literal -2 binary64)))
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (*.f64 #s(literal 8 binary64) (+.f64 x.im x.im)))
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (*.f64 (+.f64 x.im x.im) x.im))
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (*.f64 (+.f64 x.im x.im) x.re))
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (fma.f64 x.im #s(literal -2 binary64) (+.f64 x.im x.im)))
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (*.f64 (+.f64 x.im x.im) (neg.f64 x.im)))
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (*.f64 (+.f64 x.im x.im) (neg.f64 x.re)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (.f64 x.re x.re)))
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (.f64 x.re (.f64 x.im (neg.f64 x.im))))
#s(approx (- (/ (* (* (+ (* x.im x.im) (* x.re x.re)) (* (- x.re x.im) (+ x.im x.re))) x.re) (+ (* x.im x.im) (* x.re x.re))) (+ x.im x.im)) (.f64 x.re (.f64 x.im (neg.f64 x.im))))
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (.f64 x.im (-.f64 #s(literal -2 binary64) (.f64 x.re x.im))))
#s(approx (- (/ (* (* (+ (* x.im x.im) (* x.re x.re)) (* (- x.re x.im) (+ x.im x.re))) x.re) (+ (* x.im x.im) (* x.re x.re))) (+ x.im x.im)) (.f64 x.im (-.f64 #s(literal -2 binary64) (.f64 x.re x.im))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.im (.f64 (*.f64 x.im #s(literal -3 binary64)) x.re)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.im x.re) (*.f64 x.im #s(literal -3 binary64))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 x.im x.re) #s(literal -3 binary64)) x.im))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 x.im x.re) x.im) #s(literal -3 binary64)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 x.re x.im) #s(literal -3 binary64)) x.im))
(fma.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 x.re x.im)) (+.f64 x.im x.im))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (fma.f64 x.re x.re (.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))))
(-.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re)) (+.f64 x.im x.im))
(fma.f64 (+.f64 x.im x.im) x.re (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re)))

Outputs

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

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

Calls

2 calls:

34.0ms	x.re
7.0ms	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))

Results

Accuracy	Segments	Branch
98.5%	2	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`
99.5%	3	`x.re`

Compiler

Compiled 24 to 13 computations (45.8% saved)

regimes8.0ms (0.1%)

Memory

8.1MiB live, 8.1MiB allocated

Counts

24 → 3

Calls

Call 1

Inputs
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (+.f64 x.im x.im))
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (*.f64 x.im #s(literal -2 binary64)))
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (*.f64 #s(literal 8 binary64) (+.f64 x.im x.im)))
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (*.f64 (+.f64 x.im x.im) x.im))
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (*.f64 (+.f64 x.im x.im) x.re))
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (fma.f64 x.im #s(literal -2 binary64) (+.f64 x.im x.im)))
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (*.f64 (+.f64 x.im x.im) (neg.f64 x.im)))
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (*.f64 (+.f64 x.im x.im) (neg.f64 x.re)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (.f64 x.re x.re)))
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (.f64 x.re (.f64 x.im (neg.f64 x.im))))
#s(approx (- (/ (* (* (+ (* x.im x.im) (* x.re x.re)) (* (- x.re x.im) (+ x.im x.re))) x.re) (+ (* x.im x.im) (* x.re x.re))) (+ x.im x.im)) (.f64 x.re (.f64 x.im (neg.f64 x.im))))
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (.f64 x.im (-.f64 #s(literal -2 binary64) (.f64 x.re x.im))))
#s(approx (- (/ (* (* (+ (* x.im x.im) (* x.re x.re)) (* (- x.re x.im) (+ x.im x.re))) x.re) (+ (* x.im x.im) (* x.re x.re))) (+ x.im x.im)) (.f64 x.im (-.f64 #s(literal -2 binary64) (.f64 x.re x.im))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.im (.f64 (*.f64 x.im #s(literal -3 binary64)) x.re)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.im x.re) (*.f64 x.im #s(literal -3 binary64))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 x.im x.re) #s(literal -3 binary64)) x.im))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 x.im x.re) x.im) #s(literal -3 binary64)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 x.re x.im) #s(literal -3 binary64)) x.im))
(fma.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 x.re x.im)) (+.f64 x.im x.im))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (fma.f64 x.re x.re (.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))))
(-.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re)) (+.f64 x.im x.im))

Outputs

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

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

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

Calls

1 calls:

7.0ms

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

Results

Accuracy	Segments	Branch
99.8%	3	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`

Compiler

Compiled 21 to 11 computations (47.6% saved)

regimes7.0ms (0.1%)

Memory

12.9MiB live, 12.9MiB allocated

Counts

22 → 3

Calls

Call 1

Inputs
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (+.f64 x.im x.im))
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (*.f64 x.im #s(literal -2 binary64)))
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (*.f64 #s(literal 8 binary64) (+.f64 x.im x.im)))
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (*.f64 (+.f64 x.im x.im) x.im))
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (*.f64 (+.f64 x.im x.im) x.re))
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (fma.f64 x.im #s(literal -2 binary64) (+.f64 x.im x.im)))
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (*.f64 (+.f64 x.im x.im) (neg.f64 x.im)))
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (*.f64 (+.f64 x.im x.im) (neg.f64 x.re)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (.f64 x.re x.re)))
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (.f64 x.re (.f64 x.im (neg.f64 x.im))))
#s(approx (- (/ (* (* (+ (* x.im x.im) (* x.re x.re)) (* (- x.re x.im) (+ x.im x.re))) x.re) (+ (* x.im x.im) (* x.re x.re))) (+ x.im x.im)) (.f64 x.re (.f64 x.im (neg.f64 x.im))))
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (.f64 x.im (-.f64 #s(literal -2 binary64) (.f64 x.re x.im))))
#s(approx (- (/ (* (* (+ (* x.im x.im) (* x.re x.re)) (* (- x.re x.im) (+ x.im x.re))) x.re) (+ (* x.im x.im) (* x.re x.re))) (+ x.im x.im)) (.f64 x.im (-.f64 #s(literal -2 binary64) (.f64 x.re x.im))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.im (.f64 (*.f64 x.im #s(literal -3 binary64)) x.re)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.im x.re) (*.f64 x.im #s(literal -3 binary64))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 x.im x.re) #s(literal -3 binary64)) x.im))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 x.im x.re) x.im) #s(literal -3 binary64)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 x.re x.im) #s(literal -3 binary64)) x.im))
(fma.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 x.re x.im)) (+.f64 x.im x.im))

Outputs

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

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

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

Calls

1 calls:

6.0ms

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

Results

Accuracy	Segments	Branch
99.5%	3	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`

Compiler

Compiled 21 to 11 computations (47.6% saved)

regimes33.0ms (0.3%)

Memory

-42.8MiB live, 13.1MiB allocated

Counts

21 → 2

Calls

Call 1

Inputs
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (+.f64 x.im x.im))
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (*.f64 x.im #s(literal -2 binary64)))
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (*.f64 #s(literal 8 binary64) (+.f64 x.im x.im)))
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (*.f64 (+.f64 x.im x.im) x.im))
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (*.f64 (+.f64 x.im x.im) x.re))
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (fma.f64 x.im #s(literal -2 binary64) (+.f64 x.im x.im)))
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (*.f64 (+.f64 x.im x.im) (neg.f64 x.im)))
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (*.f64 (+.f64 x.im x.im) (neg.f64 x.re)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (.f64 x.re x.re)))
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (.f64 x.re (.f64 x.im (neg.f64 x.im))))
#s(approx (- (/ (* (* (+ (* x.im x.im) (* x.re x.re)) (* (- x.re x.im) (+ x.im x.re))) x.re) (+ (* x.im x.im) (* x.re x.re))) (+ x.im x.im)) (.f64 x.re (.f64 x.im (neg.f64 x.im))))
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (.f64 x.im (-.f64 #s(literal -2 binary64) (.f64 x.re x.im))))
#s(approx (- (/ (* (* (+ (* x.im x.im) (* x.re x.re)) (* (- x.re x.im) (+ x.im x.re))) x.re) (+ (* x.im x.im) (* x.re x.re))) (+ x.im x.im)) (.f64 x.im (-.f64 #s(literal -2 binary64) (.f64 x.re x.im))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.im (.f64 (*.f64 x.im #s(literal -3 binary64)) x.re)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.im x.re) (*.f64 x.im #s(literal -3 binary64))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 x.im x.re) #s(literal -3 binary64)) x.im))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 x.im x.re) x.im) #s(literal -3 binary64)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 (*.f64 x.re x.im) #s(literal -3 binary64)) x.im))

Outputs

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

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

Calls

3 calls:

17.0ms	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
7.0ms	x.im
7.0ms	x.re

Results

Accuracy	Segments	Branch
88.2%	2	`x.im`
79.1%	2	`x.re`
94.8%	2	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`

Compiler

Compiled 27 to 15 computations (44.4% saved)

regimes15.0ms (0.1%)

Memory

13.6MiB live, 13.5MiB allocated

Counts

13 → 2

Calls

Call 1

Inputs
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (+.f64 x.im x.im))
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (*.f64 x.im #s(literal -2 binary64)))
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (*.f64 #s(literal 8 binary64) (+.f64 x.im x.im)))
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (*.f64 (+.f64 x.im x.im) x.im))
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (*.f64 (+.f64 x.im x.im) x.re))
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (fma.f64 x.im #s(literal -2 binary64) (+.f64 x.im x.im)))
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (*.f64 (+.f64 x.im x.im) (neg.f64 x.im)))
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (*.f64 (+.f64 x.im x.im) (neg.f64 x.re)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (.f64 x.re x.re)))
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (.f64 x.re (.f64 x.im (neg.f64 x.im))))
#s(approx (- (/ (* (* (+ (* x.im x.im) (* x.re x.re)) (* (- x.re x.im) (+ x.im x.re))) x.re) (+ (* x.im x.im) (* x.re x.re))) (+ x.im x.im)) (.f64 x.re (.f64 x.im (neg.f64 x.im))))
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (.f64 x.im (-.f64 #s(literal -2 binary64) (.f64 x.re x.im))))
#s(approx (- (/ (* (* (+ (* x.im x.im) (* x.re x.re)) (* (- x.re x.im) (+ x.im x.re))) x.re) (+ (* x.im x.im) (* x.re x.re))) (+ x.im x.im)) (.f64 x.im (-.f64 #s(literal -2 binary64) (.f64 x.re x.im))))

Outputs

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

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

Calls

3 calls:

5.0ms	x.im
5.0ms	x.re
4.0ms	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))

Results

Accuracy	Segments	Branch
62.6%	2	`x.re`
73.6%	2	`x.im`
74.7%	2	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`

Compiler

Compiled 27 to 15 computations (44.4% saved)

regimes28.0ms (0.2%)

Memory

-22.0MiB live, 16.9MiB allocated

Counts

9 → 2

Calls

Call 1

Inputs
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (+.f64 x.im x.im))
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (*.f64 x.im #s(literal -2 binary64)))
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (*.f64 #s(literal 8 binary64) (+.f64 x.im x.im)))
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (*.f64 (+.f64 x.im x.im) x.im))
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (*.f64 (+.f64 x.im x.im) x.re))
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (fma.f64 x.im #s(literal -2 binary64) (+.f64 x.im x.im)))
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (*.f64 (+.f64 x.im x.im) (neg.f64 x.im)))
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (*.f64 (+.f64 x.im x.im) (neg.f64 x.re)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (.f64 x.re x.re)))

Outputs

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
72.3%	2	`x.im`
71.2%	2	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`

Compiler

Compiled 24 to 13 computations (45.8% saved)

regimes11.0ms (0.1%)

Memory

24.6MiB live, 24.6MiB allocated

Counts

8 → 3

Calls

Call 1

Inputs
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (+.f64 x.im x.im))
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (*.f64 x.im #s(literal -2 binary64)))
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (*.f64 #s(literal 8 binary64) (+.f64 x.im x.im)))
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (*.f64 (+.f64 x.im x.im) x.im))
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (*.f64 (+.f64 x.im x.im) x.re))
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (fma.f64 x.im #s(literal -2 binary64) (+.f64 x.im x.im)))
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (*.f64 (+.f64 x.im x.im) (neg.f64 x.im)))
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (*.f64 (+.f64 x.im x.im) (neg.f64 x.re)))

Outputs

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
35.9%	3	`x.re`
35.7%	3	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`
36.0%	3	`x.im`

Compiler

Compiled 27 to 15 computations (44.4% saved)

regimes10.0ms (0.1%)

Memory

-15.2MiB live, 23.1MiB allocated

Counts

6 → 2

Calls

Call 1

Inputs
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (+.f64 x.im x.im))
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (*.f64 x.im #s(literal -2 binary64)))
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (*.f64 #s(literal 8 binary64) (+.f64 x.im x.im)))
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (*.f64 (+.f64 x.im x.im) x.im))
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (*.f64 (+.f64 x.im x.im) x.re))
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (fma.f64 x.im #s(literal -2 binary64) (+.f64 x.im x.im)))

Outputs

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

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

Calls

3 calls:

4.0ms	x.re
3.0ms	x.im
2.0ms	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))

Results

Accuracy	Segments	Branch
24.2%	2	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`
23.9%	2	`x.re`
23.2%	2	`x.im`

Compiler

Compiled 27 to 15 computations (44.4% saved)

regimes5.0ms (0%)

Memory

14.5MiB live, 14.5MiB allocated

Counts

5 → 2

Calls

Call 1

Inputs
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (+.f64 x.im x.im))
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (*.f64 x.im #s(literal -2 binary64)))
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (*.f64 #s(literal 8 binary64) (+.f64 x.im x.im)))
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (*.f64 (+.f64 x.im x.im) x.im))
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (*.f64 (+.f64 x.im x.im) x.re))

Outputs

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

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

Calls

2 calls:

3.0ms	x.re
2.0ms	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))

Results

Accuracy	Segments	Branch
21.4%	1	`x.re`
23.3%	2	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`

Compiler

Compiled 24 to 13 computations (45.8% saved)

regimes7.0ms (0.1%)

Memory

15.9MiB live, 15.9MiB allocated

Counts

4 → 2

Calls

Call 1

Inputs
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (+.f64 x.im x.im))
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (*.f64 x.im #s(literal -2 binary64)))
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (*.f64 #s(literal 8 binary64) (+.f64 x.im x.im)))
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (*.f64 (+.f64 x.im x.im) x.im))

Outputs

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

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

Calls

3 calls:

2.0ms	x.re
2.0ms	x.im
2.0ms	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))

Results

Accuracy	Segments	Branch
13.9%	1	`x.re`
13.9%	1	`x.im`
16.0%	2	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`

Compiler

Compiled 27 to 15 computations (44.4% saved)

regimes27.0ms (0.2%)

Memory

-25.2MiB live, 13.6MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (*.f64 #s(literal 8 binary64) (+.f64 x.im x.im)))

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

Calls

3 calls:

23.0ms	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
2.0ms	x.re
2.0ms	x.im

Results

Accuracy	Segments	Branch
4.5%	1	`x.im`
4.5%	1	`x.re`
4.5%	1	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`

Compiler

Compiled 27 to 15 computations (44.4% saved)

regimes4.0ms (0%)

Memory

9.8MiB live, 9.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

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

Results

Accuracy	Segments	Branch
3.0%	1	`x.re`
3.0%	1	`(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))`
3.0%	1	`x.im`

Compiler

Compiled 27 to 15 computations (44.4% saved)

bsearch29.0ms (0.2%)

Memory

-18.3MiB live, 21.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
27.0ms	2.370925217238683e+91	3.043021411296377e+93

Samples

23.0ms

112×

valid

Compiler

Compiled 381 to 177 computations (53.5% saved)

Precisions

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

ival-mult: 19.0ms (92.6% of total)

ival-sub: 1.0ms (4.9% of total)

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

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

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

bsearch4.0ms (0%)

Memory

6.9MiB live, 6.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
4.0ms	6.6070406854759e+82	1.0511139545291692e+86

Samples

2.0ms

32×

valid

Compiler

Compiled 86 to 50 computations (41.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-mult: 1.0ms (64.1% of total)

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

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

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

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

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.5073e-319	7.129480166533e-312

Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.1815623173018202e-126	1.9744665894240933e-109
0.0ms	-1.1224089608606375e-44	-7.381459750595345e-49

Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.1815623173018202e-126	1.9744665894240933e-109
0.0ms	-2e-323	0.0

Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2e-323	0.0

Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-2e-323	0.0

Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch13.0ms (0.1%)

Memory

-11.2MiB live, 26.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	3.597343243801048e+147	2.3264736144214277e+148

Samples

7.0ms

96×

valid

Compiler

Compiled 138 to 82 computations (40.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 3.0ms (62.9% of total)

ival-sub: 1.0ms (21% of total)

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

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

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

bsearch19.0ms (0.2%)

Memory

2.2MiB live, 39.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	3.597343243801048e+147	2.3264736144214277e+148
15.0ms	3.6733017313912767e-13	4.3835958481531986e-5

Samples

10.0ms

144×

valid

Compiler

Compiled 309 to 181 computations (41.4% saved)

Precisions

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

ival-mult: 5.0ms (71.4% of total)

ival-sub: 1.0ms (14.3% of total)

ival-add: 1.0ms (14.3% of total)

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

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

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.5939284369196707e-293	1.104269138562786e-288

Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-8.116692121941457e-218	-1.916309572073869e-264

Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.916309572073869e-264	-2.668165629760765e-277

Compiler

Compiled 24 to 16 computations (33.3% saved)

simplify19.0ms (0.2%)

Memory

10.7MiB live, 46.5MiB allocated

Algorithm

1×	egg-herbie

Rules

60×	`*-commutative_binary64`
28×	`+-commutative_binary64`
24×	`sub-neg_binary64`
20×	`neg-sub0_binary64`
20×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	111	873
1	149	873
2	175	873
3	201	873
4	214	873
5	219	873
6	220	873

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x.re #s(literal 2999999999999999782755623211908971949157924948792094375565367371086658320296291309084582346752 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (fma.f64 x.im (.f64 (.f64 x.im #s(literal -3 binary64)) x.re) (.f64 x.re (.f64 x.re x.re)))) (fma.f64 (/.f64 #s(approx (* x.re (+ x.re x.im)) (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (+.f64 x.im x.re)) (/.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) (/.f64 (-.f64 x.re x.im) (-.f64 x.re x.im))) (+.f64 x.im x.im)))
(if (<=.f64 x.re #s(literal 5000000000000000073153476153374365154850214939323275296393053935848981821255741079552 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (fma.f64 x.im (.f64 (.f64 x.im #s(literal -3 binary64)) x.re) (.f64 x.re (.f64 x.re x.re)))) (fma.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 x.re x.im)) (+.f64 x.im x.im)))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal 101201/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.im (.f64 (.f64 x.im #s(literal -3 binary64)) x.re))) (fma.f64 (+.f64 x.im x.im) x.re (.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.re))))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal -8034690221294951/803469022129495137770981046170581301261101496891396417650688 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.im (.f64 (.f64 x.im #s(literal -3 binary64)) x.re))) (if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal 3048582568667961/1524291284333980581729295522359944485228807686848130444755447734192076044345588681699368214386470689042884243711624327585667956874652483059712 binary64)) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (fma.f64 x.re x.re (.f64 (.f64 x.im x.im) #s(literal -3 binary64))))) (fma.f64 (-.f64 x.re x.im) (.f64 x.re (+.f64 x.re x.im)) (+.f64 x.im x.im))))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal -1/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.im (.f64 (.f64 x.im #s(literal -3 binary64)) x.re))) (if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal 3048582568667961/1524291284333980581729295522359944485228807686848130444755447734192076044345588681699368214386470689042884243711624327585667956874652483059712 binary64)) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (.f64 x.re x.re))) (fma.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 x.re x.im)) (+.f64 x.im x.im))))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal -1/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.im (.f64 (.f64 x.im #s(literal -3 binary64)) x.re))) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (.f64 x.re x.re))))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal -1/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (.f64 x.re (.f64 x.im (neg.f64 x.im)))) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (.f64 x.re x.re))))
(if (<=.f64 x.im #s(literal 23000000000000000558621957872519090088501996168703566977353661578606635467733631281833881334095231068654842117546950771181508952233787949419444830208 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (.f64 x.re x.re))) #s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (*.f64 (+.f64 x.im x.im) (neg.f64 x.im))))
(if (<=.f64 x.im #s(literal 290142196707511/19342813113834066795298816 binary64)) #s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (fma.f64 x.im #s(literal -2 binary64) (+.f64 x.im x.im))) (if (<=.f64 x.im #s(literal 23000000000000000558621957872519090088501996168703566977353661578606635467733631281833881334095231068654842117546950771181508952233787949419444830208 binary64)) #s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (.f64 (+.f64 x.im x.im) x.re)) #s(approx (- ( (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im 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.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal 449423283715579/22471164185778948846616314884862809170224712236778832159178760144716584475687620391588559665300942002640014234983924169707348721101802077811605928829934265547220986678108185659537777450155761764931635369010625721104768835292807860184239138817603404645418813835573287279993405742309964538104419541203028017152 binary64)) #s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (fma.f64 x.im #s(literal -2 binary64) (+.f64 x.im x.im))) #s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (*.f64 (+.f64 x.im x.im) x.re)))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal -4968057895362269/99361157907245371849534687261600163536440705095468583112899330433667260971928120725176218165033374588831214764616388685194981122823348121052434385602635592909085118465334393955216978280422300468816831948397854000057142198644227702784 binary64)) #s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (.f64 x.im #s(literal -2 binary64))) #s(approx (- ( (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (*.f64 (+.f64 x.im x.im) x.re)))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal -283625966735417/283625966735416996535885333662014114404918709117773906527666446555317050392228007039102232836943884008369202383078188524332921074971181050832906833858946728855699699487201666630303651778087184309051360279531753007138776532531333940154475963659030548670205136385754377903702802432 binary64)) #s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (.f64 x.im #s(literal -2 binary64))) #s(approx (- ( (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (*.f64 (+.f64 x.im x.im) x.im)))
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (*.f64 x.im #s(literal -2 binary64)))
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (+.f64 x.im x.im))

Outputs
(if (<=.f64 x.re #s(literal 2999999999999999782755623211908971949157924948792094375565367371086658320296291309084582346752 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (fma.f64 x.im (.f64 (.f64 x.im #s(literal -3 binary64)) x.re) (.f64 x.re (.f64 x.re x.re)))) (fma.f64 (/.f64 #s(approx (* x.re (+ x.re x.im)) (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (+.f64 x.im x.re)) (/.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) (/.f64 (-.f64 x.re x.im) (-.f64 x.re x.im))) (+.f64 x.im x.im)))
(if (<=.f64 x.re #s(literal 2999999999999999782755623211908971949157924948792094375565367371086658320296291309084582346752 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (fma.f64 x.im (.f64 x.re (.f64 x.im #s(literal -3 binary64))) (.f64 x.re (.f64 x.re x.re)))) (fma.f64 (/.f64 #s(approx (* x.re (+ x.re x.im)) (.f64 x.im (fma.f64 x.re (/.f64 x.re x.im) x.re))) (+.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 x.im x.im)))
(if (<=.f64 x.re #s(literal 5000000000000000073153476153374365154850214939323275296393053935848981821255741079552 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (fma.f64 x.im (.f64 (.f64 x.im #s(literal -3 binary64)) x.re) (.f64 x.re (.f64 x.re x.re)))) (fma.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 x.re x.im)) (+.f64 x.im x.im)))
(if (<=.f64 x.re #s(literal 5000000000000000073153476153374365154850214939323275296393053935848981821255741079552 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (fma.f64 x.im (.f64 x.re (.f64 x.im #s(literal -3 binary64))) (.f64 x.re (.f64 x.re x.re)))) (fma.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 x.re x.im)) (+.f64 x.im x.im)))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal 101201/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.im (.f64 (.f64 x.im #s(literal -3 binary64)) x.re))) (fma.f64 (+.f64 x.im x.im) x.re (.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.re))))
(if (<=.f64 (-.f64 (.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 x.im (+.f64 (.f64 x.re x.im) (.f64 x.re x.im)))) #s(literal 101201/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.im (.f64 x.re (.f64 x.im #s(literal -3 binary64))))) (fma.f64 (+.f64 x.im x.im) x.re (.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im)))))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal -8034690221294951/803469022129495137770981046170581301261101496891396417650688 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.im (.f64 (.f64 x.im #s(literal -3 binary64)) x.re))) (if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal 3048582568667961/1524291284333980581729295522359944485228807686848130444755447734192076044345588681699368214386470689042884243711624327585667956874652483059712 binary64)) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (fma.f64 x.re x.re (.f64 (.f64 x.im x.im) #s(literal -3 binary64))))) (fma.f64 (-.f64 x.re x.im) (.f64 x.re (+.f64 x.re x.im)) (+.f64 x.im x.im))))
(if (<=.f64 (-.f64 (.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 x.im (+.f64 (.f64 x.re x.im) (.f64 x.re x.im)))) #s(literal -8034690221294951/803469022129495137770981046170581301261101496891396417650688 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.im (.f64 x.re (.f64 x.im #s(literal -3 binary64))))) (if (<=.f64 (-.f64 (.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 x.im (+.f64 (.f64 x.re x.im) (.f64 x.re x.im)))) #s(literal 3048582568667961/1524291284333980581729295522359944485228807686848130444755447734192076044345588681699368214386470689042884243711624327585667956874652483059712 binary64)) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (fma.f64 x.re x.re (.f64 #s(literal -3 binary64) (.f64 x.im x.im))))) (fma.f64 (-.f64 x.re x.im) (.f64 x.re (+.f64 x.re x.im)) (+.f64 x.im x.im))))
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(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal -1/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.im (.f64 (.f64 x.im #s(literal -3 binary64)) x.re))) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (.f64 x.re x.re))))
(if (<=.f64 (-.f64 (.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 x.im (+.f64 (.f64 x.re x.im) (.f64 x.re x.im)))) #s(literal -1/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.im (.f64 x.re (.f64 x.im #s(literal -3 binary64))))) #s(approx (- ( (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (.f64 x.re x.re))))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal -1/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (.f64 x.re (.f64 x.im (neg.f64 x.im)))) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (.f64 x.re x.re))))
(if (<=.f64 (-.f64 (.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 x.im (+.f64 (.f64 x.re x.im) (.f64 x.re x.im)))) #s(literal -1/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (neg.f64 (.f64 x.re (.f64 x.im x.im)))) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (.f64 x.re x.re))))
(if (<=.f64 x.im #s(literal 23000000000000000558621957872519090088501996168703566977353661578606635467733631281833881334095231068654842117546950771181508952233787949419444830208 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (.f64 x.re x.re))) #s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (*.f64 (+.f64 x.im x.im) (neg.f64 x.im))))
(if (<=.f64 x.im #s(literal 23000000000000000558621957872519090088501996168703566977353661578606635467733631281833881334095231068654842117546950771181508952233787949419444830208 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 x.re (.f64 x.re x.re))) #s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (neg.f64 (*.f64 x.im (+.f64 x.im x.im)))))
(if (<=.f64 x.im #s(literal 290142196707511/19342813113834066795298816 binary64)) #s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (fma.f64 x.im #s(literal -2 binary64) (+.f64 x.im x.im))) (if (<=.f64 x.im #s(literal 23000000000000000558621957872519090088501996168703566977353661578606635467733631281833881334095231068654842117546950771181508952233787949419444830208 binary64)) #s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (.f64 (+.f64 x.im x.im) x.re)) #s(approx (- ( (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (*.f64 (+.f64 x.im x.im) (neg.f64 x.im)))))
(if (<=.f64 x.im #s(literal 290142196707511/19342813113834066795298816 binary64)) #s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (fma.f64 x.im #s(literal -2 binary64) (+.f64 x.im x.im))) (if (<=.f64 x.im #s(literal 23000000000000000558621957872519090088501996168703566977353661578606635467733631281833881334095231068654842117546950771181508952233787949419444830208 binary64)) #s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (.f64 x.re (+.f64 x.im x.im))) #s(approx (- ( (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (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.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal 449423283715579/22471164185778948846616314884862809170224712236778832159178760144716584475687620391588559665300942002640014234983924169707348721101802077811605928829934265547220986678108185659537777450155761764931635369010625721104768835292807860184239138817603404645418813835573287279993405742309964538104419541203028017152 binary64)) #s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (fma.f64 x.im #s(literal -2 binary64) (+.f64 x.im x.im))) #s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (*.f64 (+.f64 x.im x.im) x.re)))
(if (<=.f64 (-.f64 (.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 x.im (+.f64 (.f64 x.re x.im) (.f64 x.re x.im)))) #s(literal 449423283715579/22471164185778948846616314884862809170224712236778832159178760144716584475687620391588559665300942002640014234983924169707348721101802077811605928829934265547220986678108185659537777450155761764931635369010625721104768835292807860184239138817603404645418813835573287279993405742309964538104419541203028017152 binary64)) #s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (fma.f64 x.im #s(literal -2 binary64) (+.f64 x.im x.im))) #s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (*.f64 x.re (+.f64 x.im x.im))))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal -4968057895362269/99361157907245371849534687261600163536440705095468583112899330433667260971928120725176218165033374588831214764616388685194981122823348121052434385602635592909085118465334393955216978280422300468816831948397854000057142198644227702784 binary64)) #s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (.f64 x.im #s(literal -2 binary64))) #s(approx (- ( (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (*.f64 (+.f64 x.im x.im) x.re)))
(if (<=.f64 (-.f64 (.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 x.im (+.f64 (.f64 x.re x.im) (.f64 x.re x.im)))) #s(literal -4968057895362269/99361157907245371849534687261600163536440705095468583112899330433667260971928120725176218165033374588831214764616388685194981122823348121052434385602635592909085118465334393955216978280422300468816831948397854000057142198644227702784 binary64)) #s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (.f64 x.im #s(literal -2 binary64))) #s(approx (- ( (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (*.f64 x.re (+.f64 x.im x.im))))
(if (<=.f64 (-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)) #s(literal -283625966735417/283625966735416996535885333662014114404918709117773906527666446555317050392228007039102232836943884008369202383078188524332921074971181050832906833858946728855699699487201666630303651778087184309051360279531753007138776532531333940154475963659030548670205136385754377903702802432 binary64)) #s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (.f64 x.im #s(literal -2 binary64))) #s(approx (- ( (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (*.f64 (+.f64 x.im x.im) x.im)))
(if (<=.f64 (-.f64 (.f64 x.re (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (.f64 x.im (+.f64 (.f64 x.re x.im) (.f64 x.re x.im)))) #s(literal -283625966735417/283625966735416996535885333662014114404918709117773906527666446555317050392228007039102232836943884008369202383078188524332921074971181050832906833858946728855699699487201666630303651778087184309051360279531753007138776532531333940154475963659030548670205136385754377903702802432 binary64)) #s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (.f64 x.im #s(literal -2 binary64))) #s(approx (- ( (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (*.f64 x.im (+.f64 x.im x.im))))
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (*.f64 x.im #s(literal -2 binary64)))
#s(approx (- (* (+ x.re x.im) (* (- x.re x.im) x.re)) (+ x.im x.im)) (+.f64 x.im x.im))

soundness2.1s (16.9%)

Memory

20.8MiB live, 1 225.8MiB allocated

Rules

22 442×	`lower-fma.f32`
22 432×	`lower-fma.f64`
15 710×	`lower-fma.f64`
15 710×	`lower-fma.f32`
13 250×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	230	4616
1	773	3877
2	2500	3358
0	8263	3242
0	52	274
0	83	277
1	364	203
2	3343	185
0	8836	182
0	44	241
0	70	237
1	273	213
2	2129	213
0	8459	208
0	219	4656
1	725	3916
2	2255	3402
3	7347	3402
0	8249	3264
0	38	207
0	60	197
1	243	163
0	1597	159
0	11	51
0	20	51
1	83	39
0	572	38
0	56	924
1	169	852
2	519	852
3	2117	852
4	5791	852
0	8250	834

Stop Event

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

Compiler

Compiled 2 260 to 790 computations (65% saved)

preprocess199.0ms (1.6%)

Memory: -0.6MiB live, 352.2MiB allocated
Remove: (abs x.im)
Compiler: Compiled 1 526 to 372 computations (75.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample877.0ms (7.1%)

explain168.0ms (1.4%)

preprocess486.0ms (3.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify593.0ms (4.8%)

localize52.0ms (0.4%)

series12.0ms (0.1%)

simplify374.0ms (3%)

rewrite51.0ms (0.4%)

eval47.0ms (0.4%)

prune70.0ms (0.6%)

simplify484.0ms (3.9%)

localize149.0ms (1.2%)

series32.0ms (0.3%)

simplify276.0ms (2.2%)

rewrite317.0ms (2.6%)

eval186.0ms (1.5%)

prune274.0ms (2.2%)

simplify382.0ms (3.1%)

localize151.0ms (1.2%)

series32.0ms (0.3%)

simplify278.0ms (2.3%)

rewrite800.0ms (6.5%)

eval667.0ms (5.4%)

prune656.0ms (5.3%)

simplify234.0ms (1.9%)

localize131.0ms (1.1%)

series55.0ms (0.4%)

simplify185.0ms (1.5%)

rewrite443.0ms (3.6%)

eval667.0ms (5.4%)

prune556.0ms (4.5%)

regimes65.0ms (0.5%)

regimes17.0ms (0.1%)

regimes42.0ms (0.3%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

regimes33.0ms (0.3%)

regimes15.0ms (0.1%)

regimes28.0ms (0.2%)

regimes11.0ms (0.1%)

regimes10.0ms (0.1%)

regimes5.0ms (0%)

regimes7.0ms (0.1%)

regimes27.0ms (0.2%)

regimes4.0ms (0%)

bsearch29.0ms (0.2%)

bsearch4.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch13.0ms (0.1%)

bsearch19.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify19.0ms (0.2%)

soundness2.1s (16.9%)

preprocess199.0ms (1.6%)

end0.0ms (0%)

Profiling