Metrics for math.cube on complex, real part

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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)

sample1.6s (13.1%)

Memory

26.5MiB live, 1 203.5MiB allocated

Samples

1.2s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 809.0ms

ival-mult: 604.0ms (74.6% of total)

ival-sub: 147.0ms (18.2% of total)

ival-add: 50.0ms (6.2% of total)

ival-true: 6.0ms (0.7% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

explain339.0ms (2.8%)

Memory

0.7MiB live, 203.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
20	-	-	`(-.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))`
15	-	-	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`
13	-	-	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.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 (-.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	20	0
↳	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)`	overflow	108
↳	`(*.f64 x.re x.re)`	overflow	60
↳	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	overflow	104
↳	`(*.f64 x.im x.im)`	overflow	59
↳	`(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)`	overflow	63
↳	`(*.f64 x.im x.re)`	overflow	31
↳	`(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))`	overflow	31
↳	`(*.f64 x.re x.im)`	overflow	31
`-.f64`	`(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	nan-rescue	15	0
↳	`(*.f64 x.re x.re)`	overflow	60
↳	`(*.f64 x.im x.im)`	overflow	59
`*.f64`	`(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)`	*no**	13	0

Confusion

	Predicted +	Predicted -
+	40	0
-	0	216

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	216
1	32
2	8

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

96.0ms

512×

valid

Compiler

Compiled 155 to 37 computations (76.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 81.0ms

ival-mult: 74.0ms (91.4% of total)

ival-sub: 4.0ms (4.9% of total)

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

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

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

preprocess775.0ms (6.3%)

Memory

-1.9MiB live, 591.9MiB 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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	84.6%	(-.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)

simplify440.0ms (3.6%)

Memory

20.0MiB live, 782.3MiB 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)

localize163.0ms (1.3%)

Memory

-39.0MiB live, 126.3MiB 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	3.0645058533125784	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
accuracy	3.343735550811441	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
accuracy	4.050781250000001	(-.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))

Samples

119.0ms

256×

valid

Compiler

Compiled 67 to 13 computations (80.6% saved)

Precisions

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

ival-mult: 9.0ms (69.9% of total)

ival-sub: 3.0ms (23.3% of total)

ival-add: 1.0ms (7.8% of total)

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

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

series12.0ms (0.1%)

Memory

19.4MiB live, 19.4MiB 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.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	@	0	(- (* (- (* 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))

simplify268.0ms (2.2%)

Memory

18.1MiB live, 488.4MiB 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))))

rewrite60.0ms (0.5%)

Memory

-2.1MiB live, 84.2MiB 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))))

eval56.0ms (0.5%)

Memory: -3.5MiB live, 35.0MiB allocated
Compiler: Compiled 5 021 to 320 computations (93.6% saved)

prune48.0ms (0.4%)

Memory

-10.8MiB live, 66.5MiB 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

100.0%

Counts

213 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.0%	(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)))
	39.1%	(-.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))
	17.2%	(-.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)))))
	42.9%	(-.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))) (fma.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))
▶	84.6%	(-.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))))))
▶	92.0%	(-.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))))
	66.9%	(-.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))
	54.1%	(-.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))
	11.4%	(.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)))))))
▶	92.0%	#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)))))
	54.1%	#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))))
▶	60.3%	#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 736 to 276 computations (62.5% saved)

simplify376.0ms (3%)

Memory

21.8MiB live, 577.8MiB 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)

localize110.0ms (0.9%)

Memory

3.4MiB live, 119.6MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	3.0645058533125784	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
accuracy	3.343735550811441	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
accuracy	4.050781250000001	(-.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	6.373027778184915	(.f64 x.re (.f64 x.im (*.f64 x.im #s(literal 2 binary64))))
accuracy	0.0078125	(*.f64 x.re (+.f64 x.re x.im))
accuracy	0.09765625	(.f64 (.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))
accuracy	0.1171875	(.f64 x.im (.f64 x.re (+.f64 x.im x.im)))
accuracy	4.050781250000001	(-.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	0.17578125	(.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	3.071110513973072	(.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	0.0703125	(.f64 x.re (.f64 x.re x.re))
accuracy	25.359854240193414	#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	0.0078125	(*.f64 x.re (+.f64 x.re x.im))
accuracy	0.09765625	(.f64 (.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))
accuracy	3.0351562500000004	(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

57.0ms

256×

valid

Compiler

Compiled 252 to 33 computations (86.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-mult: 29.0ms (71.2% of total)

ival-add: 5.0ms (12.3% of total)

ival-sub: 4.0ms (9.8% of total)

ival-neg: 1.0ms (2.5% of total)

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

exact: 0.0ms (0% of total)

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

series28.0ms (0.2%)

Memory

4.1MiB live, 41.7MiB 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
2.0ms	x.im	@	inf	(* x.im 2)
2.0ms	x.im	@	-inf	(* x.re (+ x.im x.im))
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	@	inf	(+ (* (* 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)))

simplify328.0ms (2.7%)

Memory

-9.0MiB live, 440.5MiB 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)))
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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))))
(* 2 (* (pow x.im 2) x.re))
(.f64 x.re (.f64 x.im (*.f64 x.im #s(literal 2 binary64))))

rewrite117.0ms (1%)

Memory

-12.1MiB live, 141.6MiB 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 (.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)

eval163.0ms (1.3%)

Memory: 8.6MiB live, 311.1MiB allocated
Compiler: Compiled 32 120 to 1 793 computations (94.4% saved)

prune188.0ms (1.5%)

Memory

12.9MiB live, 305.7MiB allocated

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	1 472	10	1 482
Fresh	6	1	7
Picked	3	2	5
Done	0	0	0
Total	1 481	13	1 494

Accuracy

100.0%

Counts

1 494 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	59.0%	(fma.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 x.re x.im)) (+.f64 x.im x.im))
	59.6%	(fma.f64 (-.f64 x.re x.im) (.f64 x.re (+.f64 x.re x.im)) (neg.f64 #s(approx ( (+ (* x.re x.im) (* x.im x.re)) x.im) (+.f64 x.im x.im))))
▶	75.8%	(fma.f64 (+.f64 x.im x.im) x.re (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re)))
▶	69.6%	(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)))
	87.8%	#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))))
▶	87.8%	#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))))
	60.4%	#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)))
	39.2%	#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)))))
	65.3%	#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)))))
✓	92.0%	#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)))))
	54.1%	#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))))
✓	60.3%	#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)))
▶	54.1%	#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 357 to 179 computations (49.9% saved)

simplify500.0ms (4.1%)

Memory

-7.5MiB live, 583.8MiB 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) (.f64 #s(approx (* x.re (+ x.re x.im)) (*.f64 x.re x.im)) (-.f64 x.re x.im)))
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 x.im x.im)
cost-diff	384	(fma.f64 (+.f64 x.im x.im) x.re (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re)))
cost-diff	0	(+.f64 x.re x.im)
cost-diff	0	(*.f64 x.re (+.f64 x.re x.im))
cost-diff	0	(-.f64 x.re x.im)
cost-diff	0	(fma.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 x.re x.im)) (+.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 #s(literal -3 binary64))
cost-diff	0	(.f64 (.f64 x.im #s(literal -3 binary64)) 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)) (fma.f64 x.im (.f64 (.f64 x.im #s(literal -3 binary64)) x.re) (.f64 x.re (.f64 x.re x.re))))
cost-diff	320	(fma.f64 x.im (.f64 (.f64 x.im #s(literal -3 binary64)) x.re) (.f64 x.re (.f64 x.re x.re)))

Rules

21 702×	`lower-fma.f32`
21 694×	`lower-fma.f64`
3 276×	`lower-+.f32`
3 272×	`lower-+.f64`
2 600×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	236
0	61	233
1	125	229
2	252	226
3	917	209
4	2775	209
5	6547	208
0	8213	205

Stop Event

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

Calls

Call 1

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

localize98.0ms (0.8%)

Memory

-4.7MiB live, 188.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 x.im)
accuracy	0.09765625	(.f64 #s(approx ( x.re (+ x.re x.im)) (*.f64 x.re x.im)) (-.f64 x.re x.im))
accuracy	3.0351562500000004	(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)))
accuracy	23.35759148760903	#s(approx (* x.re (+ x.re x.im)) (*.f64 x.re x.im))
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	0.09765625	(.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re))
accuracy	0	(+.f64 x.re x.im)
accuracy	0	(+.f64 x.im x.im)
accuracy	0.0078125	(*.f64 x.re (+.f64 x.re x.im))
accuracy	0.0546875	(fma.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 x.re x.im)) (+.f64 x.im x.im))
accuracy	0	(*.f64 x.im #s(literal -3 binary64))
accuracy	0.13671875	(.f64 x.im (.f64 x.im #s(literal -3 binary64)))
accuracy	6.383149408076338	(.f64 x.re (.f64 x.im (*.f64 x.im #s(literal -3 binary64))))
accuracy	26.319575711972206	#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	#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))))
accuracy	0.0703125	(.f64 x.re (.f64 x.re x.re))
accuracy	0.14453125	(.f64 (.f64 x.im #s(literal -3 binary64)) x.re)
accuracy	7.035119093935419	(fma.f64 x.im (.f64 (.f64 x.im #s(literal -3 binary64)) x.re) (.f64 x.re (.f64 x.re x.re)))

Samples

63.0ms

256×

valid

Compiler

Compiled 209 to 36 computations (82.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-mult: 31.0ms (72.1% of total)

ival-add: 7.0ms (16.3% of total)

ival-sub: 3.0ms (7% of total)

ival-neg: 1.0ms (2.3% of total)

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

exact: 0.0ms (0% of total)

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

series21.0ms (0.2%)

Memory

-1.8MiB live, 39.2MiB allocated

Counts

21 → 444

Calls

Call 1

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

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

Calls

111 calls:

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

simplify350.0ms (2.8%)

Memory

13.9MiB live, 562.5MiB allocated

Algorithm

1×	egg-herbie

Rules

10 530×	`lower-fma.f64`
10 530×	`lower-fma.f32`
3 580×	`lower-*.f64`
3 580×	`lower-*.f32`
2 826×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	288	3712
1	973	3374
2	3218	3221
3	7604	3221
0	8606	3112

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 435

Calls

Call 1

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

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

rewrite1.1s (9.1%)

Memory

35.6MiB live, 1 465.3MiB allocated

Rules

37 368×	`lower-fma.f32`
37 360×	`lower-fma.f64`
4 694×	`lower-/.f64`
4 694×	`lower-/.f32`
4 410×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	200
0	61	196
1	244	172
2	1983	172
0	8421	171

Stop Event

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

Counts

21 → 1 922

Calls

Call 1

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

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

eval896.0ms (7.3%)

Memory: -183.7MiB live, 937.2MiB allocated
Compiler: Compiled 93 464 to 5 390 computations (94.2% saved)

prune704.0ms (5.7%)

Memory

-5.0MiB live, 1 010.1MiB allocated

Pruning

16 alts after pruning (12 fresh and 4 done)

	Pruned	Kept	Total
New	3 469	10	3 479
Fresh	4	2	6
Picked	3	2	5
Done	0	2	2
Total	3 476	16	3 492

Accuracy

100.0%

Counts

3 492 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	22.5%	(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))
	26.9%	(fma.f64 (+.f64 x.im 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))))
	8.5%	(/.f64 (fma.f64 x.re (.f64 (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) (.f64 x.re (.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)))) (+.f64 x.im x.im)) (+.f64 x.im (fma.f64 (-.f64 x.re x.im) (*.f64 x.re (+.f64 x.im x.re)) x.im)))
✓	87.8%	#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))))
	60.4%	#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)))
▶	58.7%	#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)))
	54.1%	#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.re (*.f64 x.im x.im)) #s(literal -3 binary64)))
▶	58.8%	#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))))
▶	65.3%	#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)))))
	58.8%	#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 #s(literal -3 binary64) (*.f64 x.im x.re)) x.im))
✓	92.0%	#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)))))
✓	60.3%	#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)))
✓	54.1%	#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)))))
	39.4%	#s(approx (+ (* (- x.re x.im) (* x.re (+ x.re x.im))) (+ x.im x.im)) (.f64 x.im (.f64 x.re (neg.f64 x.im))))
▶	2.8%	#s(approx (+ (* (- x.re x.im) (* x.re (+ x.re x.im))) (+ x.im x.im)) (*.f64 x.im #s(literal 2 binary64)))
▶	35.5%	#s(approx (+ (* (+ x.im x.im) x.re) (* (+ x.re x.im) (* (- x.re x.im) x.re))) (.f64 x.re (.f64 x.im (-.f64 #s(literal 2 binary64) x.im))))

Compiler

Compiled 420 to 201 computations (52.1% saved)

simplify478.0ms (3.9%)

Memory

28.3MiB live, 777.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x.im x.re)
cost-diff	0	(.f64 (.f64 x.im x.re) x.im)
cost-diff	0	(.f64 (.f64 (*.f64 x.im x.re) 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 (*.f64 x.im x.re) x.im) #s(literal -3 binary64)))
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 #s(literal 2 binary64) x.im)
cost-diff	0	(*.f64 x.im (-.f64 #s(literal 2 binary64) x.im))
cost-diff	0	(.f64 x.re (.f64 x.im (-.f64 #s(literal 2 binary64) x.im)))
cost-diff	0	#s(approx (+ (* (+ x.im x.im) x.re) (* (+ x.re x.im) (* (- x.re x.im) x.re))) (.f64 x.re (.f64 x.im (-.f64 #s(literal 2 binary64) x.im))))
cost-diff	0	#s(approx (+ (* (- x.re x.im) (* x.re (+ x.re x.im))) (+ x.im x.im)) (*.f64 x.im #s(literal 2 binary64)))
cost-diff	128	(*.f64 x.im #s(literal 2 binary64))
cost-diff	0	(.f64 x.re (fma.f64 x.re (/.f64 x.re (.f64 x.im x.im)) #s(literal -3 binary64)))
cost-diff	0	(*.f64 x.im x.im)
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.im) (.f64 x.re (fma.f64 x.re (/.f64 x.re (.f64 x.im x.im)) #s(literal -3 binary64)))))
cost-diff	1024	(.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))))

Rules

26 682×	`lower-fma.f32`
26 680×	`lower-fma.f64`
3 136×	`lower-+.f64`
3 136×	`lower-+.f32`
2 772×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	228
0	57	233
1	120	223
2	293	221
3	905	196
4	2557	195
5	5814	192
0	8524	185

Stop Event

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

Calls

Call 1

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

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

localize160.0ms (1.3%)

Memory

-22.2MiB live, 257.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x.im x.re)
accuracy	0.1171875	(.f64 (.f64 x.im x.re) x.im)
accuracy	0.15625	(.f64 (.f64 (*.f64 x.im x.re) x.im) #s(literal -3 binary64))
accuracy	26.319575711972206	#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)))
accuracy	0	(*.f64 x.im x.re)
accuracy	0	(*.f64 x.im #s(literal -3 binary64))
accuracy	0.1328125	(.f64 (.f64 x.im x.re) (*.f64 x.im #s(literal -3 binary64)))
accuracy	26.319575711972206	#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 #s(literal 2 binary64) x.im)
accuracy	0.00390625	(*.f64 x.im (-.f64 #s(literal 2 binary64) x.im))
accuracy	3.0332558533125784	(.f64 x.re (.f64 x.im (-.f64 #s(literal 2 binary64) x.im)))
accuracy	25.522056516630336	#s(approx (+ (* (+ x.im x.im) x.re) (* (+ x.re x.im) (* (- x.re x.im) x.re))) (.f64 x.re (.f64 x.im (-.f64 #s(literal 2 binary64) x.im))))
accuracy	0	(*.f64 x.im #s(literal 2 binary64))
accuracy	41.02162567549697	#s(approx (+ (* (- x.re x.im) (* x.re (+ x.re x.im))) (+ x.im x.im)) (*.f64 x.im #s(literal 2 binary64)))
accuracy	0.6063238312130654	(.f64 x.re (fma.f64 x.re (/.f64 x.re (.f64 x.im x.im)) #s(literal -3 binary64)))
accuracy	1.4697313431238141	(fma.f64 x.re (/.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64))
accuracy	8.236652239329715	(/.f64 x.re (*.f64 x.im x.im))
accuracy	13.882925980677205	(.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))))

Samples

107.0ms	231×	0	valid
10.0ms	14×	3	valid
2.0ms	6×	1	valid
2.0ms	3×	4	valid
1.0ms	2×	2	valid

Compiler

Compiled 190 to 38 computations (80% saved)

Precisions

Click to see histograms. Total time spent on operations: 100.0ms

ival-mult: 82.0ms (82% of total)

ival-add: 7.0ms (7% of total)

ival-sub: 5.0ms (5% of total)

adjust: 4.0ms (4% of total)

ival-div: 2.0ms (2% of total)

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

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

exact: 0.0ms (0% of total)

series24.0ms (0.2%)

Memory

21.9MiB live, 58.8MiB allocated

Counts

19 → 396

Calls

Call 1

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

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

Calls

99 calls:

Time	Variable		Point	Expression
1.0ms	x.re	@	0	(* (* x.im x.im) (* x.re (+ (* x.re (/ x.re (* x.im x.im))) -3)))
1.0ms	x.re	@	inf	(* (* x.im x.im) (* x.re (+ (* x.re (/ x.re (* x.im x.im))) -3)))
1.0ms	x.re	@	0	(* x.re (* x.im (- 2 x.im)))
1.0ms	x.im	@	0	(* (* x.im x.im) (* x.re (+ (* x.re (/ x.re (* x.im x.im))) -3)))
0.0ms	x.im	@	inf	(* (* x.im x.im) (* x.re (+ (* x.re (/ x.re (* x.im x.im))) -3)))

simplify448.0ms (3.6%)

Memory

-3.5MiB live, 707.0MiB allocated

Algorithm

1×	egg-herbie

Rules

10 880×	`lower-fma.f64`
10 880×	`lower-fma.f32`
3 460×	`lower-+.f64`
3 460×	`lower-+.f32`
2 888×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	228	3548
1	727	3286
2	2408	3167
3	6696	3164
0	8361	3052

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 396

Calls

Call 1

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

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

rewrite319.0ms (2.6%)

Memory

-35.1MiB live, 433.5MiB allocated

Rules

4 522×	`lower-/.f32`
4 520×	`lower-/.f64`
4 046×	`lower-fma.f32`
4 044×	`lower-fma.f64`
3 748×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	211
0	57	211
1	251	191
2	1950	173
0	8300	168

Stop Event

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

Counts

19 → 246

Calls

Call 1

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

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

eval121.0ms (1%)

Memory: 16.9MiB live, 131.1MiB allocated
Compiler: Compiled 11 371 to 883 computations (92.2% saved)

prune84.0ms (0.7%)

Memory

-7.0MiB live, 192.1MiB allocated

Pruning

16 alts after pruning (10 fresh and 6 done)

	Pruned	Kept	Total
New	682	6	688
Fresh	3	4	7
Picked	2	3	5
Done	1	3	4
Total	688	16	704

Accuracy

100.0%

Counts

704 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	22.5%	(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))
	26.9%	(fma.f64 (+.f64 x.im 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))))
	60.4%	#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)))
	79.3%	#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 (fma.f64 x.re (/.f64 x.re (.f64 x.im x.im)) #s(literal -3 binary64))) x.re) x.im))
✓	58.7%	#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)))
	54.1%	#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)))
	58.8%	#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.re (*.f64 x.im #s(literal -3 binary64))) x.im))
✓	58.8%	#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))))
	30.3%	#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 #s(approx (+ ( x.re (/ x.re (* x.im x.im))) -3) (/.f64 (.f64 x.re x.re) (.f64 x.im x.im))))))
✓	92.0%	#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)))))
✓	60.3%	#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)))
✓	54.1%	#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)))))
	38.9%	#s(approx (+ (* (- x.re x.im) (* x.re (+ x.re x.im))) (+ x.im x.im)) (.f64 x.re (.f64 x.im (neg.f64 x.im))))
	39.4%	#s(approx (+ (* (- x.re x.im) (* x.re (+ x.re x.im))) (+ x.im x.im)) (.f64 x.im (.f64 x.re (neg.f64 x.im))))
✓	2.8%	#s(approx (+ (* (- x.re x.im) (* x.re (+ x.re x.im))) (+ x.im x.im)) (*.f64 x.im #s(literal 2 binary64)))
	19.9%	#s(approx (+ (* (- x.re x.im) (* x.re (+ x.re x.im))) (+ x.im x.im)) #s(literal 0 binary64))

Compiler

Compiled 903 to 233 computations (74.2% saved)

regimes68.0ms (0.5%)

Memory

20.2MiB live, 61.1MiB allocated

Counts

39 → 2

Calls

Call 1

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

Calls

3 calls:

45.0ms	x.im
11.0ms	x.re
9.0ms	(-.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
99.9%	2	`x.re`
96.7%	2	`x.im`
99.9%	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)

regimes31.0ms (0.3%)

Memory

-17.3MiB live, 21.9MiB allocated

Counts

18 → 2

Calls

Call 1

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

Calls

2 calls:

25.0ms	x.re
5.0ms	(-.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
99.1%	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))`
98.8%	3	`x.re`

Compiler

Compiled 24 to 13 computations (45.8% saved)

regimes6.0ms (0%)

Memory

13.6MiB live, 13.6MiB allocated

Counts

17 → 3

Calls

Call 1

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

5.0ms

(-.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
99.9%	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)

regimes5.0ms (0%)

Memory

12.9MiB live, 12.9MiB allocated

Counts

15 → 3

Calls

Call 1

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

Outputs

#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 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:

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
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)

regimes10.0ms (0.1%)

Memory

-14.6MiB live, 24.2MiB allocated

Counts

14 → 2

Calls

Call 1

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

Outputs

#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 x.re (*.f64 x.re x.re)))

Calls

2 calls:

5.0ms	(-.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))
5.0ms	x.re

Results

Accuracy	Segments	Branch
80.7%	2	`x.re`
97.1%	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)

regimes4.0ms (0%)

Memory

8.5MiB live, 8.5MiB allocated

Counts

9 → 2

Calls

Call 1

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

Calls

1 calls:

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
97.1%	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 21 to 11 computations (47.6% saved)

regimes8.0ms (0.1%)

Memory

-22.0MiB live, 15.3MiB allocated

Counts

8 → 2

Calls

Call 1

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

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.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 x.re x.re)))

Calls

2 calls:

5.0ms	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
81.2%	2	`x.im`
92.4%	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)

regimes8.0ms (0.1%)

Memory

19.1MiB live, 19.1MiB allocated

Counts

6 → 2

Calls

Call 1

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

Outputs

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

3.0ms	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
64.2%	2	`x.re`
73.8%	2	`x.im`
77.7%	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)

regimes10.0ms (0.1%)

Memory

-36.1MiB live, 14.7MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
60.3%	1	`x.re`
60.3%	1	`x.im`
60.3%	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)

regimes5.0ms (0%)

Memory

6.8MiB live, 6.8MiB allocated

Accuracy

Total -11.3b remaining (-22%)

Threshold costs -11.3b (-22%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	x.re
2.0ms	x.im
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
19.9%	1	`x.re`
19.9%	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))`
19.9%	1	`x.im`

Compiler

Compiled 27 to 15 computations (44.4% saved)

bsearch6.0ms (0%)

Memory

6.1MiB live, 6.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
5.0ms	4.896975133985424e+64	2.5438730195672955e+66

Samples

3.0ms

48×

valid

Compiler

Compiled 117 to 67 computations (42.7% saved)

Precisions

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

ival-mult: 2.0ms (86.6% 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

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.6481801497818786e-276	1.1237563530258986e-275

Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.3435044379685471e-73	2.3497493754437586e-51
0.0ms	-1.582840295859693e-123	-2.730971276518333e-133

Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.3435044379685471e-73	2.3497493754437586e-51
0.0ms	-1.088731457744e-312	-0.0

Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.088731457744e-312	-0.0

Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.088731457744e-312	-0.0

Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.088731457744e-312	-0.0

Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.088731457744e-312	-0.0

Compiler

Compiled 24 to 16 computations (33.3% saved)

simplify13.0ms (0.1%)

Memory

20.5MiB live, 20.5MiB allocated

Algorithm

1×	egg-herbie

Rules

52×	`*-commutative_binary64`
24×	`+-commutative_binary64`
20×	`sub-neg_binary64`
16×	`neg-sub0_binary64`
16×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	661
1	114	661
2	140	661
3	158	661
4	166	661
5	168	661

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x.re #s(literal 999999999999999945322333868247445125709646570021247924665841614848 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 6237000967295999/1247400193459199882285232945648024103792157037772160963439092026523257432418102541115598728432897313180839029277620309527482773742745996037961982373928019637700003545594428547823461075902726866989158347965339952495831756534450543993055534542780027598441950566797347526026474059518965006204928 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)))) (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 -1488565707357403/1488565707357402911845015158554633286356257506687627387456491927921949262056238946972039271861787782268441644249633132407878864135402815488 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)))) (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 6365737426045269/31828687130226345097944463881396533766429193651030253916189694521162207808802136034115584 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 -202402253307/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.im x.re) (.f64 x.im #s(literal -3 binary64)))) (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 6365737426045269/31828687130226345097944463881396533766429193651030253916189694521162207808802136034115584 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 -202402253307/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.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 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 -202402253307/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 #s(literal -3 binary64) (.f64 x.im 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))))
(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 -202402253307/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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.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 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 -202402253307/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (+ (* (- x.re x.im) (* x.re (+ x.re x.im))) (+ x.im x.im)) (.f64 x.im (.f64 x.re (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))))
#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.re x.im))) (+ x.im x.im)) #s(literal 0 binary64))

Outputs
(if (<=.f64 x.re #s(literal 999999999999999945322333868247445125709646570021247924665841614848 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 999999999999999945322333868247445125709646570021247924665841614848 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 6237000967295999/1247400193459199882285232945648024103792157037772160963439092026523257432418102541115598728432897313180839029277620309527482773742745996037961982373928019637700003545594428547823461075902726866989158347965339952495831756534450543993055534542780027598441950566797347526026474059518965006204928 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)))) (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 6237000967295999/1247400193459199882285232945648024103792157037772160963439092026523257432418102541115598728432897313180839029277620309527482773742745996037961982373928019637700003545594428547823461075902726866989158347965339952495831756534450543993055534542780027598441950566797347526026474059518965006204928 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 #s(literal -3 binary64)) (.f64 x.re x.im))) (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 -1488565707357403/1488565707357402911845015158554633286356257506687627387456491927921949262056238946972039271861787782268441644249633132407878864135402815488 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)))) (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 6365737426045269/31828687130226345097944463881396533766429193651030253916189694521162207808802136034115584 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 -1488565707357403/1488565707357402911845015158554633286356257506687627387456491927921949262056238946972039271861787782268441644249633132407878864135402815488 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 #s(literal -3 binary64)) (.f64 x.re 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 6365737426045269/31828687130226345097944463881396533766429193651030253916189694521162207808802136034115584 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))))
(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 -202402253307/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.im x.re) (.f64 x.im #s(literal -3 binary64)))) (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 6365737426045269/31828687130226345097944463881396533766429193651030253916189694521162207808802136034115584 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 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 -202402253307/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.im #s(literal -3 binary64)) (.f64 x.re 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 6365737426045269/31828687130226345097944463881396533766429193651030253916189694521162207808802136034115584 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 -202402253307/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.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 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 -202402253307/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 x.im #s(literal -3 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.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 -202402253307/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (.f64 (.f64 #s(literal -3 binary64) (.f64 x.im 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))))
(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 -202402253307/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 #s(literal -3 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.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 -202402253307/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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.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 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 -202402253307/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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.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 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 -202402253307/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (+ (* (- x.re x.im) (* x.re (+ x.re x.im))) (+ x.im x.im)) (.f64 x.im (.f64 x.re (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 -202402253307/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (+ (* (- x.re x.im) (* x.re (+ x.re x.im))) (+ x.im x.im)) (neg.f64 (.f64 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))))
#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.re x.im))) (+ x.im x.im)) #s(literal 0 binary64))

soundness1.6s (12.8%)

Memory

-6.1MiB live, 975.8MiB allocated

Rules

37 368×	`lower-fma.f32`
37 360×	`lower-fma.f64`
13 250×	`lower-fma.f64`
13 250×	`lower-fma.f32`
12 920×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	200
0	61	196
1	244	172
2	1983	172
0	8421	171
0	219	4656
1	725	3916
2	2255	3402
3	7347	3402
0	8249	3264
0	11	51
0	20	51
1	83	39
0	572	38
0	38	207
0	60	197
1	243	163
0	1597	159
0	42	211
0	57	211
1	251	191
2	1950	173
0	8300	168
0	288	3712
1	973	3374
2	3218	3221
3	7604	3221
0	8606	3112
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×	node 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×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 843 to 292 computations (65.4% saved)

preprocess154.0ms (1.3%)

Memory: 6.1MiB live, 331.2MiB allocated
Remove: (abs x.im)
Compiler: Compiled 1 008 to 248 computations (75.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.6s (13.1%)

explain339.0ms (2.8%)

preprocess775.0ms (6.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify440.0ms (3.6%)

localize163.0ms (1.3%)

series12.0ms (0.1%)

simplify268.0ms (2.2%)

rewrite60.0ms (0.5%)

eval56.0ms (0.5%)

prune48.0ms (0.4%)

simplify376.0ms (3%)

localize110.0ms (0.9%)

series28.0ms (0.2%)

simplify328.0ms (2.7%)

rewrite117.0ms (1%)

eval163.0ms (1.3%)

prune188.0ms (1.5%)

simplify500.0ms (4.1%)

localize98.0ms (0.8%)

series21.0ms (0.2%)

simplify350.0ms (2.8%)

rewrite1.1s (9.1%)

eval896.0ms (7.3%)

prune704.0ms (5.7%)

simplify478.0ms (3.9%)

localize160.0ms (1.3%)

series24.0ms (0.2%)

simplify448.0ms (3.6%)

rewrite319.0ms (2.6%)

eval121.0ms (1%)

prune84.0ms (0.7%)

regimes68.0ms (0.5%)

regimes31.0ms (0.3%)

regimes6.0ms (0%)

regimes5.0ms (0%)

regimes10.0ms (0.1%)

regimes4.0ms (0%)

regimes8.0ms (0.1%)

regimes8.0ms (0.1%)

regimes10.0ms (0.1%)

regimes5.0ms (0%)

bsearch6.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify13.0ms (0.1%)

soundness1.6s (12.8%)

preprocess154.0ms (1.3%)

end0.0ms (0%)

Profiling